Answer:
The two numbers would be 21 and 13
Step-by-step explanation:
Check:
21+13=34
21-13=8
So the two numbers are correct.
Please help me please
Answer:
So first let's start with Antonio's pizza, we have to pay $17.75 plus $1 per toppings.
Then, we have Papa's pizza, we have to pay $15, plus $2.25 per topping.
How will we find the number of toppings for the same price?
Well, at papa's pizza one topping already $17.25 dollars already. So, lets keep adding. Well, if we get 4 toppings at Antonio's pizza we have to pay $21.75. And if we 3 toppings at Papa's pizza we have to pay $21.75 as well.
So, at Antonio's pizza we have to get 4 toppings and at Papa's pizza we have to get 3 toppings, to be able to pay the same price at both places
SIMPLE EQUATION:
Papa's Pizza: $15 + $6.75 (3 toppings total) = $21.75
Antonio's Pizza: $17.75 + $4 (4 toppings total) = $21.75
Complete
Solve 2x2 + x − 4 = 0
Step-by-step explanation:
2 x 2 + x - 4 = 0
4 + x - 4 = 0
+4 +4
8 0
8 + x = 0
8 8
x = 0
For the - 4 + 4 part, it cancels out because it's 0 and for the 8 divided by 8 part, it cancels out too. x is 0 because 0 divided by 8 is 0.
Hope this helped!
George reduced the size of a painting to a width of 2 in. What is the new height of the painting if it originally was 10 in wide and 16 in tall?
Answer:
3.2 inches
Step-by-step explanation:
We know that the original painting was 10 inches wide by 16 inches tall.
Our new painting is 2 inches wide by x inches tall.
So, we can write the following proportion:
[tex]\frac{10}{16}=\frac{2}{x}[/tex]
The numerator represents the widths, and the denominator represents the lengths.
Also, note that we align vertically the original and new dimensions.
So, to find our new height, solve for x.
First, we can reduce the fraction on the left:
[tex]\frac{5}{8}=\frac{2}{x}[/tex]
Cross multiply:
[tex]16=5x[/tex]
Divide both sides by 5:
[tex]x=16/5=3.2[/tex]
So, our new height is 3.2 inches.
And we're done!
The band leader is recording the number of students in the seventh and eighth grades who play flute and clarinet. Which describes the variables in the two-way table? Band Assignments Flute Clarinet Total 7th Grade 19 24 43 8th Grade 22 18 40 Total type of instrument and total number of seventh and eighth graders type of instrument and total number of seventh graders grade number and number of clarinet players grade number and type of instrument
Answer:
d
Step-by-step explanation:
The variables are the number of clarinet players grade number and type of instrument. The correct option is D.
What are variables?A variable in mathematics is a sign and placeholder for a variable quantity or another mathematical object. A variable can specifically represent a number, a vector, a matrix, a function, its argument, a set, or one of its elements.
Given that the band leader is recording the number of students in the seventh and eighth grades who play flute and clarinet.
The variables are the number of clarinet players grade number and type of instrument.
Therefore, variables are the number of clarinet players grade number, and type of instrument. The correct option is D.
To know more about variables follow
https://brainly.com/question/25223322
#SPJ6
Which problem shows estimation to the tenths place correctly?
Answer:
the second one
Step-by-step explanation:
jus took da test
what is 1,0000000000 divided by 10 equal?
Answer:
1,000,000,000
Step-by-step explanation:
Answer:
1,000000000
Step-by-step explanation:
10/10000000000 (Divide By 10)
= 1000000000 (Take one 0 away)
Use the quadratic formula to find the roots: -3x^2 + 27x = 42
Answer:
x=2, x=7
Step-by-step explanation:
-3x^2+27x=42
x^2-9x=-14
x^2-9x+14=0
x*(x-2)-7(x-2)=0
(x-2)*(x-7)=0
x-2=0
x-7=0
x=2
x=7
ANSWER ASAP*******In how many ways can the letters of the word 'BLUEBERRIES' be arranged?
a. 1663200
b. 7920
c. 330
d. 100800
e. 25200
Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf measured 3 feet 2 inches wide. What is the length of the remaining piece of board?
Answer:
2.25 feet
Step-by-step explanation:
The length of the remaining piece of board will be 2 feet 3 inches.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
It is given that Donny had a 10-foot board. He used the board to make two shelves. One shelf measured 4 feet 7 inches wide and the other shelf measured 3 feet 2 inches wide.
The length of the remaining part is calculated as below:-
10 foot = 10 x 12 = 120 inches
4 feet 7 inches = (4 x 12) + 7 = 48 + 7 = 55 inches
3 feet 2 inches = ( 3 x 12 ) +2 = 36 + 2 = 38 inches
Remaining length = 120 - 55 - 38 = 27 inches
= 24 + 3 = 2 feet 3 inches.
Therefore, the length of the remaining piece of board will be 2 feet 3 inches.
To know more about Expression follow
brainly.com/question/723406
#SPJ6
CAN SOMEONE HELP ME WITH THISS
Answer:
C
Step-by-step explanation:
|25|/10 - |10|/6 = |5|/6= 5/6
the absolute value of positive number is positive.
What is the solution to the inequality below?
v>6
A. x > 36
B. x > 12
C. No solutions
D. 0 < x < 36
Answer:
A
Step-by-step explanation:
I did this one before and I still remember this problem
The dataset ExerciseHours contains information on the amount of exercise (hours per week) for a sample of statistics students. The mean amount of exercise was 9.4 hours for the 30 female students in the sample and 12.4 hours for the 20 male students. A randomization distribution of differences in means based on these data, under a null hypothesis of no difference in mean exercise time between females and males, is centered near zero and reasonably normally distributed. The standard error for the difference in means, as estimated from the standard deviation of the randomization differences, is . Use this information to test, at a level, whether the data show that the mean exercise time for female statistics students is less than the mean exercise time of male statistics students.
Answer:
i think you should put the answer of 8.98
Step-by-step explanation:
Which linear inequality is represented by the graph?
A. y> 2x+ 2
B. y>1/2x+1
C. y>2x+1
D. y>1/2x+2
Answer:
C. y>2x+1
Step-by-step explanation:
The dashed line automatically means it's either A. or C. because a dashed line indicates it is greater than or less than rather than greater than/ equal to or less than/equal to. Those would have a solid line graphed. The line also has a y-intercept or 1 which means C. is obviously the correct answer.
HELP!
The graph shows the solutions to inequalities y > 3/2x - 2 and y < 3/2x - 10. Does the system of inequalities have solutions? If so, which region contains the solutions?
Answer:
A. There is no solution
Step-by-step explanation:
The shaded regions do not overlap. The solution space is in the region of overlap, so there is no solution.
33% of what number is 1.45
Answer:
.475
Step-by-step explanation:
This is the Ansewer
Certain conditions are set for each race; for example, the age of the horses that could be entered, the gender of the horses that could be entered, and whether the horse has won a prior race or not. Once the conditions are set, owners nominate their eligible horses for the races, and then some of those nominated horses are chosen to run in the race. A random sample of 20 races was selected, and the number of horses nominated for each race is recorded below.
7 13 28 12 16 23 13 49 18 11 9 27 36 18 15 11 32 22 1921
For the data above:_____.
(a) construct an appropriate stem-and-leaf plot to graphically display this data (to do so, type the stems down the left edge of the box, and next to each space over three (3) times, then write the leaves next to the appropriate stems; it is not necessary to draw a line to separate the stems and the leaves:
(b) calculate the mean, median, range, standard deviation, and interquartile range for this data (round all answers to two decimal places):You may do the calculations by hand or with the calculator, partial credit will only be given if correct work is shown:
(c) use the stem-and-leaf plot and appropriate statistics to completely describe the distribution of the number of horses nominated for each race in the sample.
Answer/Step-by-step explanation:
a. To construct a stem-and-leaf plot for the given sample data, 7, 13, 28, 12, 16, 23, 13, 49, 18, 11, 9, 27, 36, 18, 15, 11, 32, 22, 19, 21, first, order the data from the least to the greatest.
7, 9, 11, 11, 12, 13, 13, 15, 16, 18, 18, 19, 21, 22, 23, 27, 28, 32, 36, 49
The plot would like the one shown below:
Stem | Leaf
0 | 7, 9
1 | 1, 1, 2, 3, 3, 5, 6, 8, 8, 9
2 | 2, 3, 7, 8
3 | 2, 36
4 | 9
Key:
13 = 1 | 3
b.
i. Mean = (7 + 9 + 11 + 11 + 12 + 13 + 13 + 15 + 16 + 18 + 18 + 19 + 21 + 22 + 23 + 27 + 28 + 32 + 36 + 49)/20
Mean = 400/20
Mean = 20
ii. Median = average of the 10th and 11th data value
Median = (18 + 18)/2 = 36/2
Median = 18
iii. Range = max value - min value
Range = 49 - 7
Range = 42
iv. Standard deviation for sample data is given as [tex] s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2} [/tex]
Where,
[tex] \overline{x} = sample mean = 20 [/tex]
[tex] x_i = each value of the sample data [/tex]
N = total number of values in the sample = 20
Let's solve:
First, calculate [tex] (x_i - \overline{x})^2 [/tex] for each data value:
7 => (7 - 20)² = (-13)² = 169
9 => (9 - 20)² = (-11)² = 121
11 => (11 - 20)² = (-9)² = 81
11 => (11 - 20)² = (-9)² = 81
12 => (12 - 20)² = (-8)² = 64
13 => (13 - 20)² = (-7)² = 49
13 => (13 - 20)² = (-7)² = 49
15 => (15 - 20)² = (-5)² = 25
16 => (16 - 20)² = (-4)² = 16
18 => (18 - 20)² = (-2)² = 4
18 => (18 - 20)² = (-2)² = 4
19 => (19 - 20)² = (-1)² = 1
21 => (21 - 20)² = (1)² = 1
22 => (22 - 20)² = (2)² = 4
23 => (23 - 20)² = (3)² = 9
27 => (27 - 20)² = (7)² = 49
28 => (28 - 20)² = (8)² = 64
32 => (32 - 20)² = (12)² = 144
36 => (36 - 20)² = (16)² = 256
49 => (49 - 20)² = (29)² = 841
Next, calculate [tex] \sum_{i=1}^N (x_i - \overline{x})^2 [/tex] by summing all results gotten above:
= 169 + 121 + 81+ 81 + 64 + 49 + 49 + 25 + 16 + 4 + 4 + 1 + 1 + 4 + 9 + 49 + 64 + 144 + 256 + 841
= 2,032
Next, find [tex] \frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2 [/tex] by dividing the result you have above by (N - 1):
[tex] \frac{2,032}{N - 1} = \frac{2,032}{20 - 1} [/tex]
[tex] \frac{2,032}{19} = 106.947368 [/tex]
Next, calculate [tex] s = \sqrt{\frac{1}{N-1} \sum_{i=1}^N (x_i - \overline{x})^2} [/tex] by finding the square root of the result you have above:
[tex] s = \sqrt{106.947} [/tex]
[tex] s = 10.34 [/tex] (to 2 d.p)
v. Interquartile Range (IQR) = Third Quarter (Q3) - First Quartile (Q1)
Q1 = (12 + 13)/2 = 25/2 = 12.5
Q3 = (23 + 27)/2 = 50/2 = 25
IQR = 25 - 12.5
IQR = 12.5
c. The distribution of the number of horses nominated for each race in the sample is slightly down-skewed. This indicates that most of lower number of horses nominated for each race in the sample chosen are more common. Most of the data values are below the mean value of 20. Also, the median shows the median number of horses selected to be 18, indicating a lower number.
With the distribution having a range value of 42, extreme value such as 49, seem to be an outlier, as it does not reflect the typical number of horses selected in each race, which are mostly lower.
• Calculate the unit rate using the following information, a car was
driven 250 miles in 2/5 of an hour. What is the rate in miles per hour?
Answer: 100 miles per hour
Step-by-step explanation: Showing Work
This is a fraction equal to
250 miles ÷ 2.5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 2.5
250 miles ÷ 2.5
2.5 hours ÷ 2.5
=
100 miles
1 hour
=
100 miles
hour
= 100 miles per hour
One line passes through points (2, 11) and (−1, 2);
another line passes through points (0, −4) and (−2, −10).
Answer:
attracted more to oxygen's nucleus. This makes the hydrogen ends of the
Step-by-step explanation:
Answer:
its parallel
Step-by-step explanation:
sorry the other person did not help you. but i do rsm and i got this question right.
alex is working to simplify
Answer:
is this all?
Step-by-step explanation:
SQUARE ROOT RELATED - Please show work and/or explanation
What is the square root of 180
Answer:
6[tex]\sqrt{5}[/tex] or approximately 13.416407865
Step-by-step explanation:
List all of the factors of 180.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Find the perfect squares from the list such as:
1, 4, 9 and 36
Choose the biggest one and divide 180 by it.
180 / 36 = 5
Calculate the square root of your square number
[tex]\sqrt{36}[/tex]=6
Your answer is 5[tex]\sqrt{6}[/tex] (in its simplest radical form)
If you wanted to calculate the answer as a decimal, 5 x [tex]\sqrt{6}[/tex] = approximately 13.416407865
What’s the measure of angle F?
Answer:
90 degrees.
Step-by-step explanation:
Two hikers stopped for a snack.They shared 2/3 of a pound of trail mix.If the hikers shared the trail mix equally how much trail mix did each hiker get?
Answer: 1/3 pounds
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
Identify which of the sequences below is a geometric sequence.
A 1.3.5, 7.-9....
B 2, 4, -6, 8, 10,
C. 2, 5, 7, 10, 12,
D. 3, 6, 12, 24, 48,
===============================================
Explanation:
Sequence A is not geometric. Dividing each term by its previous term does not lead to the same common ratio. For instance, 3/1 = 3 and 5/3 = 1.67
Sequence B is a similar story. We have 4/2 = 2 and -6/4 = -1.5
Sequence C is similar as well. This time 5/2 = 2.5 and 7/5 = 1.4
--------
Sequence D is geometric because dividing each term over its previous term leads to the same common ratio
6/3 = 2
12/6 = 2
24/12 = 2
48/12 = 2
The common ratio is r = 2.
Put another way, each term is multiplied by 2 to get the next term
3*2 = 6
6*2 = 12
12*2 = 24
24*2 = 48
The sum of three numbers is 123. The third number is 4 times the first. The second number is 9 more than the first. What are the numbers?
First number:
Second number:
Third number:
Answer:
Step-by-step explanation:
Let the first number = x
Let the second number = x + 9
Let the third number = 4x
Together they make 123
x + x + 9 + 4x = 123 combine the left
6x + 9 = 123 Subtract 9 from both sides
6x = 123 - 9
6x = 114 Divide by 6
x = 114/6
x = 19
=================
First number = 19
Second number = 19 + 9 = 28
Third number = 4*19 = 76
14r + 12s / 4s - 10s
if one of the angle of a triangle is right angle it is called
Step-by-step explanation:
right angled triangle......
#5. What is the length of segment DC ?
Answer:
6 units
Step-by-step explanation:
because since AC is 24 units long, and BC is half of AC, then that would be 12 units, and since DC is half of BC, then that would be six units.
Determine whether the underlined number is a statistic or a parameter. A sample of professors is selected and it is found that (40%) own a television. Choose the correct statement below.
a. Statistic because the value is a numerical measurement describing a characteristic of a sample.
b. Parameter because the value is a numerical measurement describing a characteristic of a sample.
c. Parameter because the value is a numerical measurement describing a characteristic of a population.
d. Statistic because the value is a numerical measurement describing a characteristic of a population.
Answer: a. Statistic because the value is a numerical measurement describing a characteristic of a sample.
Step-by-step explanation: Statistic are numerical characteristics drawn or obtained from a sample which is a subset of a population. Numerical values obtained from a population of data is called parameter. Hence, since the set of professors from which the value of those who own a television being 40% was drawn is stated as being a sample. Then all numerical characteristics obtained from the dataset will be referred to as a statistic.
Solve the picture I put on ther
Answer: The numerator simplified is equal to 2^9. This is because you add the exponents to simplify. The denominator is also equal to 2^9 because you multiply the exponents to simplify. 2^9 divided by 2^9 equals 1.
Step-by-step explanation:
Answer:
It is equal to 1 because: 2^4 is 16, 2^5 is 32, 16 times 32 is 512. 2^3 is 8, 8^3 is 512. 512/512 is 1.
I hope this helps!
1a) Let f(x)=ax^2-4x-c. A horizontal line, L, intersects the graph of f at x= -1 and x=3.
The equation of the axis of symmetry is x=p. Find P
The equation of the axis of symmetry is x=p. Find p
1b) Hence, show that a=2
1c) The equation of L is y=5. Find the value of C.
The equation of the axis of symmetry is [tex]\mathbf{x =1}[/tex], the value of a is 2, and the value of c is 1.
The function is given as:
[tex]\mathbf{f(x) = ax^2 -4x - c}[/tex]
Line L is represented as:
[tex]\mathbf{(x,y) = (-1,5)(3,5)}[/tex]
Substitute the above values in: [tex]\mathbf{f(x) = ax^2 -4x - c}[/tex]
So, we have:
[tex]\mathbf{5 = a(-1)^2 - 4(-1) - c}[/tex]
[tex]\mathbf{5 = a(3)^2 - 4(3) - c}[/tex]
Expand [tex]\mathbf{5 = a(-1)^2 - 4(-1) - c}[/tex]
[tex]\mathbf{5 = a + 4 - c}[/tex]
Expand [tex]\mathbf{5 = a(3)^2 - 4(3) - c}[/tex]
[tex]\mathbf{5 = 9a - 12 - c}[/tex]
Subtract [tex]\mathbf{5 = a + 4 - c}[/tex] and [tex]\mathbf{5 = 9a - 12 - c}[/tex]
[tex]\mathbf{5 - 5 = a - 9a + 4 + 12 -c + c}[/tex]
[tex]\mathbf{0 = - 8a + 16}[/tex]
Collect like terms
[tex]\mathbf{8a = 16}[/tex]
Divide both sides by 8
[tex]\mathbf{a = 2}[/tex]
Substitute [tex]\mathbf{a = 2}[/tex] in [tex]\mathbf{5 = a + 4 - c}[/tex]
[tex]\mathbf{5 = 2 + 4 - c}[/tex]
[tex]\mathbf{5 = 6 - c}[/tex]
Subtract 6 from both sides
[tex]\mathbf{-1 = - c}[/tex]
So, we have:
[tex]\mathbf{c = 1}[/tex]
Recall that:
[tex]\mathbf{f(x) = ax^2 -4x - c}[/tex]
Where:
[tex]\mathbf{a = 2}[/tex] and [tex]\mathbf{b = -4}[/tex]
The equation of the axis of symmetry is:
[tex]\mathbf{x = -\frac{b}{2a}}[/tex]
So, we have:
[tex]\mathbf{x = -\frac{-4}{2 \times 2}}[/tex]
[tex]\mathbf{x = -\frac{-4}{4}}[/tex]
[tex]\mathbf{x =1}[/tex]
Hence, the equation of the axis of symmetry is [tex]\mathbf{x =1}[/tex], the value of a is 2, and the value of c is 1.
Read more about equations and graphs at:
https://brainly.com/question/19999113
