Answer:
The total of 100 breakfasts that cost $7.50 would be $750 and the placement of the decimal point would be moved 2 spaces to the right.
Step-by-step explanation:
Breakfasts cost $7.50. Find the customer's total cost for ordering 100 breakfasts. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.
7.50(100)
Brainliest Please?
Convert 19 qts= Fl oz
need help thank you pls
Here is the completed table:
Tuna Cheese Ham Total
Brown 21 11 8 40
White 21 15 24 60
Total 42 26 32 100
How to complete the table?Number of tuna sandwiches that were on white bread : 1/2 x 42 = 21
Number of tuna sandwiches that were on brown bread : total number of tuna sandwiches - total number of tuna sandwiches on white bread: 42 - 21 = 21
Number of ham sandwiches on brown bread : 20% x 32
= 0.25 x 32 = 8
Number of ham sandwiches on white bread : number of ham sandwiches - number of ham sandwiches on brown bread
32 - 8 = 24
Number of white bread sandwiches - number of brown bread sandwiches = 20
number of white bread sandwiches = x + 20
number of brown bread sandwiches = x
x + x + 20 = 100
x + x = 100 - 20
2x = 80
x = 40
number of white bread sandwiches = 40 + 20 = 60
Number of white bread cheese sandwiches = total number of white bread sandwiches - total number of tuna and ham white bread sandwiches
Number of white bread cheese sandwiches = 60 - (21 + 24)
= 60 - 45
= 15
Number of brown bread cheese sandwiches = total number of brown bread sandwiches - total number of tuna and ham brown bread sandwiches
40 - (21 + 8)
40 - 29 = 11
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Find a . the mean ; b . the deviation from the mean for each data item ; and c . the sum of the deviations in part ( b ) for the following group of data items . 155 , 156 , 162 , 164 , 168
(a) The mean of the data item from the group data is 161.
(b) The deviation from the mean for each data is -6,-5,1,3 and 7. respectively.
(c) The sum of the deviation is 0
What is a group data?Grouped data are data formed by aggregating individual observations of a variable into groups, so that a frequency distribution of these groups serves as a convenient means of summarizing or analyzing the data.
(a) To find the mean of the data, we use the formula below.
Formula:
M = ∑x/n.......... Equation 1Where:
M = Mean = ?∑x = Sum of each data = 155+156+162+164+168 = 805n = Total number of data item = 5Substitute these values into equation 1
M = 805/5M = 161(b) To calculate the deviation from the mean (M') for each of the data item we use the formula below.
M' = x-M
For data 115,
M' = 155-161 = -6For data 156,
M' = -5For data 162,
M' = 162-161 = 1For data 164,
M' = 164-161M' = 3For data 168,
M' = 168-161M' = 7(c) The sum of the deviation is
∑M' = -6+(-5)+1+3+7∑M' = 0Hence, the mean, the diaviation from the mean is -6,-5,1,3 and 7 and the sum of the deviation of the data is 161 and 0 respectively,
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Find the slopes of the lines that are (a) parallel to and (b) perpendicular to the line passing through the pair of points. (7, 3) and (6, −10)
13 is slope of parallel line and -1/13 is slope of perpendicular line.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given points are (7, 3) and (6, −10)
m=-10-3/6-7
m=-13/-1=13
So slope of line is 13
The equation of line is y=13x+b
Now let us find b.
3=13(7)+b
3=91+b
-88=b
y=13x-88
Now we have to find slope of line parallel to y=13x-88.
The slope of parallel line is 13 because in parallel lines slopes will remain same.
-1/13 is the slope of perpendicular line.
Hence , 13 is slope of parallel line and -1/13 is slope of perpendicular line.
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During a certain week Jose Worked 9 ½ hours Monday to Friday each day, together with 6 hours on Saturday and 4 ½ hours on Sunday. The normal working day was 8 hours and anytime worked in excess of this was paid for at time-and-a-half, with Saturday work being paid at double-time and Sunday working being paid at triple-time. She was paid $5.50 per hour normally.
Calculate: (a)His wage for the normal working week, (b)His overtime wage for working from Monday to Friday, (c)His overtime wage for Saturday, (d)His overtime wage for Sunday, (e)His gross wage for the week.
pleease show the working and the answer
The gross wage of Jose for the week is $422.125.
Given that, during a certain week Jose worked 9 ½ hours Monday to Friday each day, together with 6 hours on Saturday and 4 ½ hours on Sunday.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the wage for the normal working week be x
Now, number of hours Jose worked from Monday to Friday
= [tex]9\frac{1}{2}[/tex]
= 19/2 ×5
= 47.5 hours
The normal working day was 8 hours
So, 8×5=40 hours
Over time = 7.5 hours
a) Jose normal wage is
x = 40×5.50
= $220
b) Anytime worked in excess of this was paid for at time-and-a-half
That is, 5.5+5.5/2
= $8.25
Overtime wage =7.5×8.25
= $61.875
c) Saturday work being paid at double-time
That is 5.5×2=$11
Overtime wage for Saturday
= 6×11
= $66
d) Sunday working being paid at triple-time
That is, 5.5×3 =$16.5
Overtime wage for Sunday
= 4.5×16.5
= $74.25
e) His gross wage for the week =220+61.875+66+74.25
=$422.125
Therefore, the gross wage of Jose for the week is $422.125.
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If A = {even natural numbers) and
B = {odd natural numbers}, which of
the following is true?
Enter a, b, c, d, or e.
a. 39 € A
c. 48 € B
b. An B=0
d. A UB=A
Answer:
a. False
b. True
c. False
d. False
Step-by-step explanation:
(a) is False, the reason is: 39 is odd number and Set A contains only even numbers.
(b) is true Set A contains even natural numbers and set B contains odd natural numbers. There is nothing common between the two set. This implies that intersection of the two set is empty.
(c) is False, the reason is: 48 is even natural number and Set B contains only odd natural numbers.
(b) is False Set A contains even natural numbers and set B contains odd natural numbers. The union of two sets is set of natural numbers not the set A.
The sets j and L are given below.
J= -1,3,6,8
L= -1,1,7
Find the union of J and L
Find the intersection of J and L
Write your answers using set notation (in roster form)
The union if J and L (J U L) = {-1,1,3,6,7,8} and the intersection of J and L(J ∩ L) = {-1}
What is Union and intersection of a set?The union of two sets J and L is represented by J ∪ L. This is the set of all different elements that are included in P or Q.
The intersection of two set J and L is represented by J ∩ L. This is the set of all different elements that are included in both P and Q. The symbol used to represent the intersection of set is ∩ . We can say that the intersection of two given sets i.e. J and L is the set that includes all the elements that are common to both P and Q.
therefore (J U L) = {-1,1,3,6,7,8}
and (J ∩ L) = {-1}
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do tasks PLEASE 30POINTS
Answer:
0,76 x 10^3
Step-by-step explanation:
0,4 x 1,9 = 0,76
10^7 x 10^-4 = 10^(7-4) = 10^3
Who was Pitagoras? What his contribution to Math?
He is best known in the modern day for the Pythagorean Theorem, a mathematical formula which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares on the other two sides.
Pythagoras was a Greek philosopher who made important developments in mathematics, astronomy, and the theory of music. The theorem now known as Pythagoras's theorem was known to the Babylonians 1000 years earlier but he may have been the first to prove it.
The most famous contribution for which Pythagoras is popular worldwide is the discovery of the Pythagoras Theorem which applies to all Right Angled Triangle. In the theorem, he stated that the sum of the square of both Base and Height will be equal to the square of Hypotenuse of a Right Angle Triangle.
Can you please help me out
The inequality equation given on number line shows as.
What is number line?
In elementary arithmetic, number line could be a image of a graduated line that is visual illustration of the important numbers. each purpose of range|variety} line is assumed to correspond to a true number, and each complex number to a degree.
Main body:
The given inequality is :
y≥ -8
to represent it on the number line we need to select number which are greater than -8 .
Hence the graph on number line looks line as represented in figure.
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need help with this math problem; think I have the answer but not quite sure
Answer:
0
-7+7 = 0 0/82=0 0x8-3=0
Write the equation of the line passing through the given point that is
perpendicular to the given line.
20. y = 3/3x - 2; (-2,4)
21. -2x + 7y = 14; (-3, -7)
22. 3x - 8y = 16; (-3, 1)
23. 4x+ y = 7; (4,2)
The equation of each line that is perpendicular to the given lines and passes through the stated points are:
20. y = -x + 2
21. y = -7/2x - 35/2
22. y = -8/3x - 7
23. y = 1/4x + 1
How to Write the Equation of Perpendicular Line?In slope-intercept form, y = mx + b, the slope of the equation is m, while the y-intercept of the equation is b.
If two lines are perpendicular to each other, the values of m, which is their slope, are negative reciprocals.
20. The slope of y = 3/3x - 2 is 1, the slope (m) of the line that is perpendicular to it is -1.
Substitute (x, y) = (-2, 4) and m = -1 into y = mx + b, to find the value of b:
4 = -1(-2) + b
4 = 2 + b
4 - 2 = b
2 = b
b = 2
Write the equation of the perpendicular line by substituting m = -1 and b = 2 into y = mx + b:
y = -x + 2
21. The slope of -2x + 7y = 14 is 2/7. Therefore, the slope (m) of the line that is perpendicular to it is -7/2.
Substitute (x, y) = (-3, -7) and m = -7/2 into y = mx + b, to find the value of b:
-7 = -7/2(-3) + b
-7 = 21/2 + b
-7 - 21/2 = b
-35/2 = b
b = -35/2
Write the equation of the perpendicular line by substituting m = -7/2 and b = -35/2 into y = mx + b:
y = -7/2x - 35/2
22. The slope of 3x - 8y = 16 is 3/8. Therefore, the slope (m) of the line that is perpendicular to it is -8/3.
Substitute (x, y) = (-3, 1) and m = -8/3 into y = mx + b, to find the value of b:
1 = -8/3(-3) + b
1 = 8 + b
1 - 8 = b
b = -7
Write the equation of the perpendicular line by substituting m = -8/3 and b = -7 into y = mx + b:
y = -8/3x - 7
23. The slope of 4x + y = 7 is -4. Therefore, the slope (m) of the line that is perpendicular to it is 1/4.
Substitute (x, y) = (4, 2) and m = 1/4 into y = mx + b, to find the value of b:
2 = 1/4(4) + b
2 = 1 + b
2 - 1 = b
1 = b
b = 1
Write the equation of the perpendicular line by substituting m = 1/4 and b = 1 into y = mx + b:
y = 1/4x + 1
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For a hypothesis test where H0: μ=μ0, Ha: μ≠μ0, α=0.10 , and n=50, which of the following test statistics reject H0?
The test statistics that reject the null hypothesis are given as follows:
t such that |t| > 1.6766.
When is the null hypothesis rejected?The null hypothesis is rejected when the test statistic is out of the accept done, defined by the critical value.
The critical value is obtained considering these three features are follows:
The significance level.The number of degrees of freedom.The tail.These parameters in this problem are given as follows:
Significance level of 0.10.50 - 1 = 49 degrees of freedom.Two-tailed test, as we are testing if the mean is less than a value.Using a t-distribution calculator, the critical value is given as follows:
t = 1.6766.
Hence, as we have a two-tailed test, test statistics with absolute value greater than the critical value reject the null hypothesis.
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10. (03.04 LC)
-
When the function f(x) = 6(9)* is changed to f(x) = 6(9)X + 1, what is the effect? (4 points)
O There is no change to the graph because the exponential portion of the function remains the same.
O All input values are moved one space to the right.
O The x-intercept is one space higher.
The y-intercept is one space higher.
Answer:
It is "The y-intercept is one space higher."
Step-by-step explanation:
Assuming your original equation is 6(9)^X, the + 1 at the end is moving the entire function up since all y values that are the output are 1 higher. This means the point on the y-axis will be one higher, leading us to the answer.
Miranda and Lucy both plan to run for a spot on the school board in their city. They must each collect a certain number of signatures to get their name on the ballot. So far, Miranda has 10 signatures, but Lucy just started and doesn't have any yet. Miranda is collecting signatures at an average rate of 9 per hour, while Lucy can get 14 signatures every hour. Assuming that their rate of collection stays the same, eventually the two will have collected the same number of signatures. How many hours will have gone by? How many signatures will they both have?
After a period of 2 hours both will have 28 signatures at the given rate of work.
What is work ?
Work may be a task or set of activities to realize an exact result
MAIN body:
Signatures Miranda has at starting = 10
Rate at which Miranda is collecting signatures = 9 /hour
Rate at which Lucy is collecting signatures = 14 / hour
According to question , they both have same no. of signs,
so
Lucy need to cope up with Miranda as she has lead.
at initial stage:
LUCY MIRANDA
0 10
14 19 ---- 1 HOUR
28 28 -----2 HOUR
Hence after 2 hour both will have 28 signs.
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Darrien is building a model of the Globe Theatre stage using a scale of 1in:3 feet. On the model, the width of the stage is 15 inches. What is the actual width, in feet, of the stage?
a. 2.5 feet
b. 45 feet
c. 180 feet
d. 540 feet
Answer:
b. 45 ft
Step-by-step explanation:
The scale is 1 in : 3 ft.
1 inch in the model equals 3 feet real.
To go from the model size to the real size, multiply the model inch measurement by 3 and change to feet.
15 inch model size = 15 × 3 ft real size
Answer: 45 ft
Solve for x and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution (∅), leave the number line blank.
−3x+4≤−23 and−29≥−3x+4
The given inequalities have real or infinite solutions and the graph of the given inequalities is given below.
In the given question we have to solve for x and graph the solution on the number line below. If possible, resolve your answer to a single inequality. In case of no solution (∅), leave the number line blank.
The give inequalities are
−3x+4≤−23...............(1)
−29≥−3x+4
We can write it as
−3x+4≤−29.......................(2)
Subtract equation 1 and 2
−3x+4−(−3x+4)≤ −23−(−29)
Simplifying
−3x+4+3x−4≤ −23+29
0≤ 6
The statement is true. 6 is greater than the 0. So inequality have real or infinite solutions.
The graph of the given inequalities is given below;
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Multiple Choice You are taking guitar •lessons. The cost of the first lesson is twice the cost of each additional lesson. You spend $360 for 8 lessons. How much did the first lesson cost'7 A $40 (C $50 (E $80 B) $45 (D $60
The first guitar lesson will cost (E $80
How to know the cost of the first lesson'The cost of the first lesson is solved by comparing the costs
Since the cost of the first lesson is twice the cost of each additional lessons, double counting the first lesson makes the total number of lesson to be 9
if 9 lessons costs $360 then 1 lesson will cost
9 = 360
1 = ?
cross multiplying
8 * ? = 360 * 1
? = 360 / 9
? = 40
The unit cost is 40 taking the double counts makes the first lesson to be 2 * 40 = $80 then other lessons are 40
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Sam Long anticipates he will need approximately $225,300 in 12 years to cover his 3-year-old daughter's college bills for a 4-year
degree.
How much would he have to invest today at an interest rate of 8% compounded semiannually?
The amount of principal for the given situation is $87,894.37
What is compound interest?
The interest that is paid on both the initial principal and the accumulated past interest is known as compound interest.
The principal, interest rate, and time period are used to calculate compound interest.
Given, compound amount (A) = $225,300
time period (t) = 12 years
interest rate (r) = 8% = 0.08
compounded semiannually (n) = 2
principal amount (P) =?
Then. the compound amount is given by
[tex]A = P(1 + \frac{r}{n} )^{nt}[/tex]
or, [tex]225300 = P(1 + \frac{0.08}{2} )^{2*12}[/tex]
or, [tex]P= 225300/(1+0.04)^{24}[/tex]
or, P = 87,894.37
Hence, the amount of investment today is $87,894.37
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if a is an m × n matrix and b is in r m, the general least-squares problem is to find an x that makes ax as close as possible to b. true or false?
The statement that if a is an m × n matrix and b is in r m, the general least-squares problem is is; TRUE
How to Interpret Least squares problem for augmented matrix?The way that we compute a least-squares solution of Ax = b is;
Compute the matrix A T A as well as the vector A T b .Form the needed augmented matrix for the given matrix equation A T Ax = A T b , and then row reduce.This equation is always consistent, and as such any solution K x will be a least-squares solution.By definition, the least squares problem is to find xˆ such that |Axˆ − b| ≤ |Ax − b| for all x in IRⁿ
This means that we are to find a vector x that makes Ax (which is in
the Col(A)) as close to b as possible.
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Sarah negotiated a price of $25,290.00 for a new Toyota Camry Hybrid Sedan. She is prepared to give a down payment of 13%. Her credit union offered her a 4-year amortized loan for the remaining amount at a rate of 1.75%.
How much money will be paid in interest?
How much will the car cost, in total?
Answer: D
Step-by-step explanation:
Find the distance between the point (5,12) and the line y = 5x + 12 (rounded to the nearest hundredth).
A. 1.36 units
B. 2.19 units
C. 4.81 units
D. 4.90 units
Answer: D
Step-by-step explanation:
We can rewrite the equation of the line as [tex]5x-y+12=0[/tex].
Using the perpendicular distance formula, the distance is [tex]\frac{|(5)(5)+(-1)(12)+12|}{\sqrt{5^2 +(-1)^2}} \approx 4.90[/tex]
In trapezoid ABCD with median EF what is the value of X?
Answer:
3x+4=34
x=10
Step-by-step explanation:
Since it’s in the median it is a number in between the 2 on the shape and the number right between 28 and 40 is 34 so we can set 3x+4 equal to that to find x
3x+4=34
-4. -4
3x=30
/3. /3
x=10
Hopes this helps please mark brainliest
Answer:
x = 10
Step-by-step explanation:
EF is the median, therefore the mean between 28 and 40
Find EF(28 + 40) : 2 =
34
now that we have the value of EF we find x with an equation3x + 4 = 34
3x = 30
x = 10
GIVEN: g║ h < 1 ≅<2
PROVE: p ║r
Write a two-column proof to prove the given statement above.
The two column proof showing that p ║r is as shown below concluding that p ║r due to The Converse of the Alternate Exterior Angles Theorem
How to carry out a two column proof?The two column proof will be made up of statements and reasons to prove that p ║r. Thus;
Statement 1; g║ h
Reason 1; Given
Statement 2; ∠1 ≅ ∠2
Reason 2; Given
Statement 3; ∠1 ≅ ∠3
Reason 3; Corresponding angles theorem
Statement 4; ∠2 ≅ ∠3
Reason 4; Transitive property
Statement 5; p ║r
Reason 5; The Converse of the Alternate Exterior Angles Theorem
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What is the area of 300 meters by 200 meters in sq kilometers
Answer: 0.06 sq km
Step-by-step explanation:
We first convert each dimension from meters to kilometers. 300 meters is equal to 0.3 kilometers. 200 meters is 0.2 kilometers. We now compute the area: 0.3 km * 0.2 km = 0.06 sq km.
more than 3.2% of homes have only a landline telephone and no wireless phone. sample data: A survey by the national center for health statistics showed that among 15800 homes 5.81% had landline phones without wireless phones. Complete parts a and b . Express the originall claim in symbolic form. Let the parameter represent a value with respect to homes that have only a landscape telephone and no wireless phone
a) The original claim expressed in symbolic form is; p > 0.032
b) The hypotheses are defined as;
Null hypothesis; H₀: p ≤ 0.032
Alternative hypothesis; Hₐ: p > 0.032
How to define the hypotheses?A hypothesis is defined as an educated guess while using reasonable thinking, about the answer to a scientific question.
a) We are told that the claim is that more than 3.2% (0.032) of homes have only a landline telephone and no wireless phone. Thus, the original claim in symbolic form is; p > 0.032
b) From the sample survey that we see, it is clear that among 15800 homes, 5.81% had landline phones without wireless phones. This would be the sample proportion.
This means that we can define the alternative hypothesis as;
Hₐ: p > 0.032
Null hypothesis is;
H₀: p ≤ 0.032
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What is the constant of proportionality in the equation y=5/4x
The constant of proportionality in the equation is 5/4
What is constant of proportionality?The constant connecting two given numbers in what is known in a proportional relationship is the constant of proportionality.
The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.
In the problem, y = 5/4x
The constant term 5/4 as used in the equation is used t multiply the input x values to get the out put y values
The term helps in relating x to y
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Give the following diagram, find the value of x.
16°
123°
x?
The value of the x angle is 107 °
What is the sum of triangle angles?
In Euclidean space, the sum of a triangle's angles equals the straight angle. A triangle has three angles, one at each vertex, and is bounded by two adjacent sides. For a long time, it was unknown whether other geometries existed with different sums.
The angle in the triangle next to 123° is
= 180° - 123°
= 57°
The sum angles in a triangle are 180°
x = 180 - 57 - 16
x = 107 °
Hence, the value of the x angle is 107°.
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Help!!!!! give ton of points
In ΔABC m∠B=m∠C. The angle bisector of ∠B meets AC at point H and the angle bisector of ∠C meetsAB at point K.
Prove that BH≅CK
First, let's illustrate the problem as shown in the picture attached. Then, let's make a two-column proof:
Statement Reason
m∠B = m∠C Given
AB = AC Isosceles Triangle Definition
AK=KB=AH=HC Angle Bisector Postulate
ΔBKC = ΔHBC Line BC is common side
BH = CK Corresponding parts of congruent triangles are congruent
Which of the following fractions rounds most closely to 0? 7/12 10/11 5/10 1/5
Answer: 1/5
Step-by-step explanation:
Answer: 5/10
Step-by-step explanation:5/10 is the smallest answer here you et get to 0 concluding your answer to 5/10
