Write an equation and solve: When a number is multiplied by 8, the product is 5. What is the number?

Answer:

21x

Step-by-step explanation:

21×

Step-by-step explanation:

that my answer my anwer

The constant of variation is 1/3 and when x = 3/4, y = 1/4

Two variables are proportional to each other if as one variable increase or decrease, the other variable does the same.

Given that y and x have a constant variation, hence:

y ∝ x

y = kx;

where k is the constant of variation

y=2 when x=6;

2 = 6k

k = 1/3

y = (1/3)x

When x = 3/4;

y = (1/3)(3/4)

y = 1/4

Hence the constant of variation is 1/3 and when x = 3/4, y = 1/4

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Answer:

x = 15

y = 12

m < AED = 83°

m < DEC = 97°

Step-by-step explanation:

According to the given problem:

< AED = (6x - 7)°

< BEC = (4x + 23)°

< AEB = (8y + 1)°

< DEC = (5y + 37)°

Two angles are vertical angles if they are opposite angles formed by the intersection of two lines. Vertical angles are congruent.

Given that < AED and < BEC are vertical angles, then it means that they have the same measure.

The same goes with < AEB and <DEC, they are also considered as vertical angles.

To solve for x:

< AED = < BEC

(6x - 7)° = (4x + 23)°

Subtract 4x from both sides:

6x - 4x - 7 = 4x - 4x + 23

2x - 7 = 23

Add 7 to both sides:

2x - 7 + 7 = 23 + 7

2x = 30

Divide both sides by 2 to solve for x:

2x/2 = 30/2

x = 15

To solve for y:

< AEB = <DEC

(8y + 1)° = (5y + 37)°

Subtract 5y from both sides:

8y - 5y + 1 = 5y - 5y + 37

3y + 1 = 37

Subtract 1 from both sides:

3y + 1 - 1 = 37 - 1

3y = 36

Divide both sides by 3 to solve for y:

3y/3 = 36/3

y = 12

To double check whether our values of x and y are correct, substitute these values into the established equality statements:

< AED = < BEC

(6x - 7)° = (4x + 23)°

[6(15) - 7]° = [4(15) + 23]°

(90 - 7)° = (60 + 23)°

83° = 83° (True statement. Therefore, x = 15 is the correct answer, and m < AED = 83°).

< AEB = <DEC

(8y + 1)° = (5y + 37)°

[8(12) + 1)° = [5(12) + 37]°

(96 + 1)° = (60 + 37)°

97° = 97° (True statement. Therefore, y = 12 is the correct answer, and m < DEC = 97°).

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Answer:

use a calculator

;-;

Step-by-step explanation:

Answer:

is this 4th grade math? genuine question

Step-by-step explanation:

the answer is 11

Answer:

6

Step-by-step explanation:

9+9=18 pencil

6+6=12 erasers

We want to study the angle of an arc given that the length of the said arc is smaller than the radius of the circle.

The correct option is:

"it is less than pi radians"

A circle of radius R has a circumference:

C = 2*pi*R

An arc defined by an angle θ has a length:

L = θ*R

Now, we know that the length of the arc is smaller than the radius, then we have:

θ*R < R

Dividing both sides by R we get:

θ < 1

So we can see that the correct option is:

"it is less than pi radians"

Because it is smaller than 1.

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Answer:

the answer is 6.3

Step-by-step explanation:

sorry if I did it wrong

Answer:

D or the last option

Step-by-step explanation:

38/6, so 6 can go on 38 6 times, means it will be 6 times 6, which is 36. So, we can eliminate the answers A and B.

38-36 = 2, which is the left over. Now You add a decimal point and bring down a zero and make it 20. and 6 can go on 20, 3 times... 6 times 3, which is 18.

20-18= 2, so you do the same thing over and over again, the answer is 6.3

Let missing side be x

[tex]\\ \sf\longmapsto \dfrac{2}{5}=\dfrac{x}{10}[/tex]

Now

[tex]\\ \sf\longmapsto 5x=20[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{20}{5}[/tex]

[tex]\\ \sf\longmapsto x=4[/tex]

Answer:

d=-39

Step-by-step explanation:

-4=d+35 -35 on both sides to get d=-39

Now let's check:

-39+35=-4

Is this correct? Yes!

Hope this helps :D

Step-by-step explanation:

y = ⅓x +2

⅓x = y -2

x = 3y -6

h(x) = 3x -6 (option D)

Hey there!

- 9 • (-7/3)

= - 9 × -7/3

= 63/3

= 21.

For better understanding :-

[tex] \tt- 9 \: \cdot \: ( \frac{ - 7}{3} ) \\ = \tt\frac{ - 9 \times - 7}{3} \\ = \tt\frac{63}{3} \\ = \boxed{ \tt \: 21}[/tex]

Note :-

Hope it helps ya!

Answer:

a and b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

perpendicular lines intersect to form a 90 degree (or 'right') angle

Answer:

A

Step-by-step explanation:

You can just check all of them in a minute.

Input               Output               Rule 1               Rule 2

  5                       9                  5 + 4 = 9 ✔      (5 × 2) - 1 = 9 ✔

 10                     14                10 + 4 = 14 ✔    (10 × 2) - 1 = 19 ❌

  8                      15                 8 + 4 = 12 ❌    (8 ×  2) - 1 = 15 ✔

Only the first one (A) works with both rules.

I hope it helps. Please choose my answer as the BRAINLIEST.

Answer:

Zoe had 312 training sessions.

Step-by-step explanation:

First: divided 52 by 2

Second: multiply 26 and 12.

Roberto did not include the first term of the numerator (0-2)^2 in his calculation.

The mean of the data is also known as average.

Given the set of data 0, 2, 1, 2, 5

Mean = 0+2+1+2+5/5

Mean = 10/5

Mean = 2.0

To get the standard deviation, we will use the SD formula as shown:

[tex]\sigma=\sqrt{\frac{\sum (x-\overline x)^2}{N} }[/tex]

[tex]\sigma =\sqrt{ \frac{(0-2)^2+(2-2)^2+(1-2)^2+(2-2)^2+(5-2)^2}{5}}\\ \sigma = \sqrt{\frac{4+0+1+0+9}{5}} \\\sigma = \sqrt{\frac{14}{5} }\\\sigma = 1.673[/tex]

Comparing this with Roberto's calculation, we can see that Roberto did not include the first term of the numerator (0-2)^2 in his calculation.

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Answer:

B

Step-by-step explanation:

F(x) = 25x² - 100

g(x) = 1/5x

{ 7 1/5x² - 100 = y

{ 1/5x = y

∴  25 x² - 100 = 1/5x

x = 2

y = 0.4

The function for the amount of money earned, the total amount of money for 40 hours and the expression for the difference quotient are given as A(x) = 5x³ - 20x, 319200 and 15x² - 15xh - 20 respectively.

A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).

The given function for earned money in designing house is,

f(x) = 25x² - 100

The function for number of rooms decorated is,

g(x) = x/5

PART A :

As per the problem, the the function for the amount of money made by interior designer is the product of functions f(x) and g(x) as,

A(x) = f(x)g(x)

=> A(x) = (x/5)( 25x² - 100)

=> A(x) = 5x³ - 20x

Where x represents the number of hours worked.

PART B :

If the designer works for 40 hours the amount of money earned can be obtained by substituting x = 40 in A(x) as follows,

A(x) = 5x³ - 20x

at x = 5

A(5) = 5 × 40³ - 20 × 40

       = 319200

PART C :

The difference quotient for the function A(x) is given as,

(A(x + h) - A(x))/h

= (5(x + h)³ - 20(x + h) - (5x³ - 20x))/h

= (15x²h - 15xh² - 20h)/h

=  15x² - 15xh - 20

Hence, the answers for all the parts are A(x) = 5x³ - 20x, 319200 and 15x² - 15xh - 20 respectively.

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Answer:

Step-by-step explanation:

(6 + 1, 3 + 1) = (7, 4)

Answer:

With the metric system, the formula for BMI is weight in kilograms divided by height in meters squared. Since height is commonly measured in centimeters, an alternate calculation formula, dividing the weight in kilograms by the height in centimeters squared, and then multiplying the result by 10,000, can be used.

Hope this helped

Step-by-step explanation:

Answer:

d to c to b to a

Step-by-step explanation:

d = 1/4 or 0.25

c = 3

b = 5 or 4

a = 6

Answer:

m/_a=4(15)

=60

Step-by-step explanation:

180-115=65

triangle=180

180=65+4y+3y+10

7y=105

y=15

Brainliest plsz

Answer:

(1 , -3)

Step-by-step explanation:

The system of linear equations intersect exactly at one point. This point where the two lines intersect is the solution of the system of equations.

Answer:

60

Step-by-step explanation:

Interior and exterior angle from a linear pair.

Let the exterior angle = x

x + 120 = 180

        x = 180 - 120

x = 60

20/32

5/8

0.625

62.5

62.5%

x% x 32= 20; x%=20÷32: x%=.625:; x= 62.5%

(a) $200 today is equivalent to having $208 in one year with 4% interest rate.

(b) $192.31 today would be equivalent to $200 in one year with 4% interest rate.

(c) true

Explanation:

(a) since simple interest is given as:

I = p x r x t/100

Where p = the principal amount

r = interest rate

t = number of years

Now, from the question our principal is $200 since we are to calculate the interest on it, and our rate is 4% as obvious from the question and as well as our time is 1year. Substituting these to the interest formula we get:

I = 200 x 4 x 1/100

And that gives $8 as the interest, therefore in one year the amount we shall have will be: $200 + $8 = $208

(b) assuming we have 200 as the amount, we have now, we can get the principal we had last year at 4% interest with the following

A = p(1 + rt/100)

Now our amount is assumed to be $200 for 1year at 4% interest rate, therefore we have:

200 = p(1+4 x 1/100)

This gives

200 = p x 1.04

which gives

200/1.04 = p

p = $192.31(to the nearest cents)

(c) The statement is obviously true, because the amount we buy things today are more expensive than the amount we bought them in previous years, so having $200 today is preferable because the interest on it is just so small and would be a waste of resources.    

Answer:

d = 32.1°

Step-by-step explanation:

79.7 (measure of the whole angle) - 47.6 (measure of the left over angle) = d

Let the numbers be x, x+1 and x+2 .

Equation :-

=> x+(x+1)+(x+2)=78

=> x+x+1+x+2=78

=> 3x+3=78

Subtract 3 from both sides..

3x=75

Divide both sides by 3 .

x=25

The three consecutive integers are

x , x+1 and x+2..In the place of x replace 25

∴ 25 , 26 and 27 are the three consecutive integers.

Given : Three consecutive integers have a sum of 78. Find the integers

Solution : Let's assume that the variable be x

The first one be x itself. Now, as it's consecutive the number should be increased by 1. So, let the second one be x + 1. As we know again it will be increased by 1. Hence, the third one be x + 1 + 1 i.e. x + 2

So, we got all the three now let's proceed

The result is 78

Taking 3 as common on the RHS of the equation

1st number = x = 25

2nd number = x + 1 = 26

3rd number = x + 2 = 27

Answer:

x = (180 - 68) / 2

Step-by-step explanation:

x = 56°

Answer:

56°

Step-by-step explanation:

(180° - 68°) ÷ 2 = 112° ÷ 2

= 56°

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