Answer:
First five multiples of 20 are: 20,40,60,80 and 100.
First five multiples of 30 are: 30,60,90,120, and 150.
Answer: for 20 it is 20,40,60,80,100
For 30 it is 30,60,90,120,150
Step-by-step explanation:
here’s another way you can multiply 20 and 30 by 1 and above hope this will help
IncomeFedEx Corporation (FDX) had the following revenue and expense account balances (in millions) for a recent year ending May 31:$2,6312,3992,108Depreciation ExpenseFuel ExpenseMaintenance and Repairs ExpenseOther Expense (Income) NetProvision for Income TaxesPurchased TransportationRentals and Landing Fees9,0869209,9662,854Revenues50,36518,581Salaries and Employee Benefits
First write, rearrange data
Balance = $2,631
Depreciation = 2,399
Fuel = 2,108
A rectangle has length 4ab cm and width 6a² cm. Write a simplified expression for the area of the rectangle. 4ab cm 6q² cm
Ali takes out a loan to pay for a new sound system. The sound system costs
R7 700 and interest on the loan is 11 % simple interest per year.
If Ali repays the loan in a lump sum after 3 years, how much must he pay?
Using Simple Interest, Ali has to pay 10241 after 3 years.
What is simple interest?Simple interest is the interest that is accrued at a specific rate and for a specific length of time on a particular principal. It is based on a loan's principal or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principal sum, and a borrower will never be required to pay further interest on the interest that has already accrued. Consider making a $100 (the principal) investment at a 5% yearly rate for a year. To calculate simple interest, multiply $100 by.05 interest per year to get $5 after a year.
If P is the principal, r is the rate, t is the time
SI = [tex]\frac{P \times r \times t}{100}[/tex]
Here,
Cost of sound system = 7700
Rate = 11 %
Time = 3years
SI = [tex]\frac{7700 \times 11 \times 3}{100}[/tex]
= 2541
Amount Ali has to pay after 3 year = 7700 + 2541
= 10241
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What is the number for x??
Are f(x)= 1/2x - 2 and g(x)= -2x -4 inverses of each other
The function f(x)= 1/2x - 2 and g(x)= -2x -4 are not inverses of each other.
What is an inverse function?An inverse function can be described as the function that can undo another function, it is relationship between two function which is not directly proportional to each other.
An inverse function will follow the expression f^{-1},
Inverse of 1(/2x - 2 ) = (2x - 2 )
Inverse of g(x)= (-2x -4) = 1/ (-2x -4)
This implies implies that Inverse of g(x) ≠ f(x)
Therefore, the function of f(x)= 1/2x - 2 and g(x)= -2x -4 can not be regarded as inverse of each other.
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Which equation can be simplified to find the inverse of y = 5x² + 10?
Answer:
y=mx+b its decribe that
Arrange the terms of the polynomial in descending Then, determine the degree of
the polynomial, and name the polynomial by the number of terms.
5x 17X² + 22x
The terms of the polynomial, which has a degree of 2, are ordered as follows in decreasing order: 17x² + 27x
What in mathematics is a polynomial?Sums of terms of the form k⋅xⁿ where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5.
How should a polynomial be organized?Typically, polynomials are set up in one of two ways. Basically, ascending order is when a term's strength grows with each consecutive term. In essence, descending order occurs when a term's power declines with each consecutive term.Given polynomial: 5x + 17x² + 22x
We need to simplify this polynomial first.
5x + 17x² + 22x = 27x + 17x²
Now we will put the term with highest degree first and arrange the terms of this polynomial.
17x² + 27x
Since, the highest power of terms in this polynomial is 2.
We can say that the degree of polynomial is 2.
Therefore, the polynomial has a degree of 2 and its terms are arranged in decreasing order as follows: 17x² + 27x.
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One angle measures 170°, and another angle measures (6k + 44)°. If the angles are vertical angles, determine the value of k.
Answer:
21 = k
Step-by-step explanation:
Vertical angles are equal
170 = 6k+44
Subtract 44 from each side
170-44 = 6k+44-44
126 = 6k
Divide each side by 6
126/6 = 6k/6
21 = k
Which equation represents the line shown in the graph below?
The equation that represents the graphed line is y = -3x + 2. Then the correct option is B.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The kine is passing through (0, 2) and (1, -1). Then the slope of the line is given as,
m = (2 + 1) / (0 - 1)
m = -3
And the y-intercept of the line is 2. Then the equation of the line is given as,
y = -3x + 2
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The complete question is attached below.
A baker's dozen (13) of cupcakes is sold for
$10.14. At this rate, how much does one cupcake
cost?
Answer:
0.78
Step-by-step explanation:
if divide 10.14 by 13 it will be 0.78 hope this helps
PLS HELP 70 POINTS PLSSS!!!!!!!!!!!!!! ITS EASY
Circle A has a diameter of 9 cm. Circle B has a radius of 6 cm.
a.) Which circle has the larger circumference? A or B?
b.) About how many centimeters larger is it?
cm larger
(NO PICTURE INCLUDED) (DONT ASK FOR PIC)
Answer: B
Step-by-step explanation: B is larger by about 9.42 in
Please help
State if the three numbers can be the measures of the sides of a triangle. 1) 9, 7, 13 2) 26, 12, 11 3) 11, 2,9 4) 6, 11, 12 Two sides of a triangle have the following measures. Find the range of possible measures for the third side. 5) 12,9 7) 11,6 6) 8, 11 8) 12,8
To determine if the three numbers can be the measures of the sides of a triangle:
According to the Triangle Inequality theorem to construct a triangle, the sum of the two sides of the triangle is greater than the third side i.e x + y>z
1) 9, 7, 13
So, 9+7 > 13
16 > 13
7+ 13 > 9
20 > 9
9+13 > 7
22 > 7
Yes, they can be the measures of the sides of a triangle.
2) 26, 12, 11
So, 26+12 > 11
38 > 11
12+ 11 > 26
23 < 26
No, they cannot be the measures of the sides of a triangle.
3) 11, 2,9
So, 11+2 > 9
13 > 9
2+ 9 > 11
11 = 11
No, they cannot be the measures of the sides of a triangle.
4) 6, 11, 12
So, 11+6 > 12
17 > 9
11+12 > 6 and 12+6 > 11
Yes, they can be the measures of the sides of a triangle.
To determine the range of the third side we find the maximum value and minimum value using two sides of a triangle.
Let's assume that x is the third side of the triangle.
5) 12,9
So, the maximum value of the third side is 12+9 = 21 and the minimum value is 12-9 = 3.
Hence, the range is 3<x<21.
6) 8, 11
The maximum value of the third side is 8+11 = 19 and the minimum value is 11-8 = 7.
Hence, the range is 3<x<19.
7) 11,6
The maximum value of the third side is 11+6 = 17 and the minimum value is 11-6 = 5.
Hence, the range is 5<x<17.
8) 12,8
The maximum value of the third side is 12+8 = 20 and the minimum value is 12-8 = 4.
Hence, the range is 4<x<20.
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The scale of a map is 2.3 km = 78 km
Map : 3.4 km
Actual : ___ km
Please help!
SOMEONE PLEASE HELP ME!!! PLEASE!!!!
Quadrilateral KLMN has points K(-1,1) , L(3,4) , M(6,0) , and N(2, -3)
Use the distance formula to find the side lengths of quadrilateral KLMN.
Use the slope formula to find and compare the slopes of quadrilateral KLMN.
Use the Properties of Shapes to identify what kind of quadrilateral KLMN must be
d=(x2−x1)2+(y2−y1)2
One pair of opposite sides are: KL and NM
KL=(4−−2)2+(6−3)2=45−−√=35–√
NM=(3−−3)2+(2−−1)2=45−−√=35–√
Using the substitution property KL=NM
The other pair is: KN and LM
KN=(−3−−2)2+(−1−3)2=17−−√
LM=(4−3)2+(6−2)2=17−−√
Using the substitution property KN=LM
Step-by-step explanation:
KN=(−3−−2)2+(−1−3)2=17−−√
LM=(4−3)2+(6−2)2=17−−√
A calculator displays 3.687E
–
6. How do you write 3.687E
–
6 in standard form?
The expression of the calculator form 3.687E in standard form is; 3.687 × 10¹
How to display a number in standard form?
A standard form of a number in Math's is simply the representation of large numbers or small numbers using exponents to represent such numbers in standard form.
The correct definition of standard form can be explained in terms of decimal numbers that follows particular rules. We know that decimal numbers are the simplified form of fractions.
Thus, any number that can be written in form of a decimal number, between 1 and 10, multiplied by a power of 10, is said to be in standard form.
Thus, 3.687E simply means;
3.687 × 10¹
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An angle measures 32.6° more than the measure of its supplementary angle. What is the measure of each angle?
Answer:
See below
Step-by-step explanation:
Supplementary angles sum to 180 degrees
x = angle 1
(x+32.6 ) = angle two
x + (x+32.6) =180
2x = 180-32.6
x = 73.7 angle 2 = 106.3°
In an endurance race Philip ran 3 3/4 hours at an average speed of 9 3/5 mph how far did he run 
Answer:
31 1/5 miles.
What is the image of the point (-1, 3) after a rotation of 270° counterclockwise
about the origin?
The image of the point (1,3) after a counterclockwise rotation of 270° is (3, -1).
What is rotation?Every point in a figure is transformed by a rotation, which rotates each point a predetermined amount of degrees around another point.
Given that : coordinate point is (1, 3)
When rotating a figure 270 degrees counterclockwise, each point must be changed from (x, y) to (y, -x) before the rotated figure may be graphed.
So, points (1,3) changed to (3, -1).
As a result, the image of the point (1,3) following a 270° counterclockwise revolution is (3, -1).
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For a walk-a-thon, a sponsor is committed to giving you a flat fee of $25 plus $7 for every mile (m) you walk. SOMEONE HELP ME!!!!!!!!!!!!
Answer:
how many miles did they walk
Step-by-step explanation:
you didn't put the full question
solve this problem pls
please help if you can
PLEASE HELP ME QUICKK
75 degrees
All triangle angles will always add up to 180 degrees, so if A is 64 and B is 40, add those for 105. 180 minus 105 is 75. Therefore, C is 75.
Answers:
1st page
Angle A=65 degrees
Angle B=40 degrees
Angle C = 75
65+40+x=180 degrees
105+x=180degrees
x=180-105
x=75 degrees
2nd page
Angle A=59 degrees
Angle B=48 degrees
Angle C=73 degrees
To find x
x+x-11+73=180 degrees
2x+62=180 degrees
2x=180-62
2x=118
(equate both sides)
x=59 degrees
3rd page
Angle A=35 degrees
Angle B=100 degrees
Angle C=45 degrees
To find x
x+35+45=180 degrees
80+x=180degrees
x=180-80
x=100 degrees
4th page
Angle A=45 degrees
Angle B=110 degrees
Angle C=25 degrees
To find X
x+x+65+25=180 degrees
2x+90=180
2x=180-90
2x=90
(equate both sides)
x=45 degrees
5th page
Angle A=48 degrees
Angle B= 88 degrees
Angle C= 44 degrees
To find X
48+x+x-44=180 degrees
4+2x=180 degrees
2x=180-4
2x=176
(equate both sides)
x= 88 degrees
Please help thanks so much
Answer:y=3x+11
Step-by-step explanation:
Use the points to calculate the slope. You would use the equation [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] to get a slope of [tex]\frac{12}{4}[/tex]. That can be simplified to a slope of 3. Now find the y intercept. Now use the point (-1,8) to figure out what it would be when x=0. Everytime you add 1 to x it goes up by 3 so the point would be (0,11) and the y intercept would be 11.
HELP ASAP!
Explain how you would compare these two decimal numbers. Solve the problem.
4.246 _____ 4. 259
I know how to do this but I don't know HOW to explain... please explain it to me!!!! 100 points!!!!!
Answer:
4.259 is greater than 4.246 because its decimal places are higher values.
4.246 < 4.259
Hope that helps
to compare these two decimals we will have to compare the number in the hundredths and thousandths place becuase we already know the whole number and the tenths place number is the same. as you can see, 4.259 is greater becuase 5 tenths is greater than 4 tenths.
Divide:
945) 8,880
R
Answer:
about 9.4
Step-by-step explanation:
the million americans of age and over control percent of all discretionary income. aarp estimated that the average annual expenditure on restaurants and carryout food was for individuals in this age group. suppose this estimate is based on a sample of persons and that the sample standard deviation is . round your answers to the nearest whole numbers. a. at confidence, what is the margin of error? b. what is the confidence interval for the population mean amount spent on restaurants and carryout food? , c. what is your estimate of the total amount spent by americans of age and over on restaurants and carryout food?
Using the t-distribution, it is found that:
a. The margin of error is of $122.4.
b. The 95% confidence interval for the population mean amount spent on restaurants and carryout food is of ($1,750.6, $1,995.4).
c. The estimate is the sample mean of $1,873.
What is a t-distribution confidence interval?The bounds of the confidence interval are given according to the following rule:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which the parameters are described as follows:
[tex]\overline{x}[/tex] is the sample mean, which is also the estimate of the population mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.In the context of this problem, the values of these parameters are given by:
[tex]\overline{x} = 1873, s = 550, n = 80[/tex]
Hence, for item c, the estimate is of $1,873, as it is the sample mean.
The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 80 - 1 = 79 df, is t = 1.9905.
The margin of error is given by:
[tex]M = t\frac{s}{\sqrt{n}}[/tex]
Hence:
[tex]M = 1.9905\frac{550}{\sqrt{80}} = 122.4[/tex]
The confidence interval is the sample mean plus/minus the margin of error, hence:
1873 - 122.4 = $1,750.6.1873 + 122.4 = $1,995.4.What is the missing information?The problem is given by the image at the end of the answer.
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What is the terms of 2x+9+7x
The result of the expression 2x+9+7x is 9x+9
The expression is 2x+9+7x
To solve this expression, first we have to rearrange the terms and do the arithmetic operations in the expression.
Expressions is the mathematical statements that have a minimum of two terms containing numbers or variables, connected by an operator in between. The operator maybe addition, subtraction, division or multiplication. To solve the mathematical expression we have to do the arithmetic operation on like terms.
The expression is 2x+9+7x
Rearrange the terms in the expression
= 2x+7x+9
Add the like terms in the expression
= (2+7)x+9
= 9x+9
Hence, the result of the expression 2x+9+7x is 9x+9
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Chase filled up his car with gas before embarking on a road trip across the country.
The car uses 1.25 gallons of gas for every hour driven and the capacity of the gas tank
is 15 gallons. Make a table of values and then write an equation for G, in terms of t,
representing the number of gallons of gas remaining in Chase's gas tank after t hours
of driving.
Answer:
0-->15
1--->13.75
2--->12.5
3--->11.25
Step-by-step explanation:
Please help, thank you to who ever does
Answer:
-6
Step-by-step explanation:
A pair of wireless headphones costs $125. Your friend has $40 and plans to save $15 each
month.
a. Write an inequality to show how many months your friend will need to save in order to
purchase the headphones.
5. Solve and graph the inequality.
The friend has to save for 5 and 2/3 of a month to in order to make up the remaining 85 to get the 125 headphone.
What is meant inequality graph?An inequality that consists of two or more parts is called a compound inequality. Either "or" or "and" may be used in these components. A number between 5 and 10 could be used as x in an inequality, for instance, if it states that "x is larger than 5 and less than 10". Any time one of the two inequalities is true when the two inequalities are united by the word or, the compound inequality is solved. The two separate solutions have been combined to form the final answer. Inequalities that are separated by "and" or "or" form a compound inequality. The intersection of the inequality graphs is shown by the graph of a compound inequality with a "and."
Cost of the headphone 125.
What the friend have: 40.
What need to save: 125-40 = 85
Let x = amount to be saved per month
Months to save up the 85 is 15
The equation would be 15 x = 85
Therefore x = 85/15
Which is 5 2/3 months.
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