A car goes 240 miles in 4 hours. What speed is the car going? (What is the unit rate of miles per hour?)

Answer:

x = 12

y = 9

z = 11

Step-by-step explanation:

so, let's just do all the calculations in there :

(3×5)⁴ = 3⁴×5⁴

(2×3)⁵ = 2⁵×3⁵

(2×5)⁷ = 2⁷×5⁷

multiplying all 3 terms is then

3⁴×5⁴×2⁵×3⁵×2⁷×5⁷

more let's "group" and combine these terms based on the bases of the power operations, as we need to get an expression showing 2, 3 and 5 with their powers.

so, for the base of 2 we have

2⁵×2⁷ = 2¹²

for the base of 3 we have

3⁴×3⁵ = 3⁹

fire the base of 5 we have

5⁴×5⁷ = 5¹¹

so we get

2¹² × 3⁹ × 5¹¹

=>

x=12

y=9

z=11

Answer: If angle 7 is 95 degrees measurement then angle 6 would be85?

Step-by-step explanation:

Answer:

Hello! answer: a = 8

Step-by-step explanation:

2.4 × 8 = 19.2

19.2 + 8 = 27.2 therefore a = 8 hope that helps!

Answer:

a = 8

Step-by-step explanation:

2.4a + 8 = 27.2

2.4a + 8 - 8 = 27.2 - 8

2.4a = 19.2

2.4a ÷ 2.4 = 19.2 ÷ 2.4

a = 8

Answer:

800 in²

Step-by-step explanation:

Applying,

TSA (A) = Area of the base+ Lateral area of the

A = lw+1/2ps................ Equation 1

Where l = lenght of the base, w = width of the base, p = perimeter of the base, s = slight height of the base.

But,

p = 2(l+w)............. Equation 2

Substitute equation 2 into equation 1

A = lw+1/2[2(l+w)s)

A = lw+s(l+w)............. Equation 3

From the question,

Given: l = 16 in, w = 16 in, s = 17 in

Substitute these values into equation 3

A = (16×16)+17(16+16)

A = 256+544

A = 800 in²

Answer:

[tex]0.38\:\mathrm{m/s}[/tex]

Step-by-step explanation:

Average velocity is given by [tex]v=\frac{\Delta x}{\Delta t}[/tex], where [tex]\Delta x[/tex] is displacement and [tex]\Delta t[/tex] is change in time.

What we know:

Solving for [tex]v[/tex]:

[tex]v=\frac{0.90}{2.4}=0.375\approx\boxed{0.38\:\mathrm{m/s}}[/tex]

Answer:

x = 13

Step-by-step explanation:

3x + 8 = 2x + 21

shift the numbers to make them like terms . Here shift 2x to left hand side when u shift positive becomes negative 2x . and shift positive 8 to right hand side then it become negative 8

3x - 2x = 21 - 8

subtract like terms

x = 13

Answer:

6

Step-by-step explanation:

60÷6 = 10

so we know the right side of the equal sign must equal 10

36÷6 = 6

now we know that (24÷n) must equal 10-6

we can write and equation like this:

24/n = 4

cross-multiply to get:

4n = 24

n = 24/4

n = 6

Answer:

60 ÷ 6 = ( 36 ÷ 6) + (24 ÷ ___)

10 = 6 + (24÷6)

10 = 6 + 4

10 = 10

Comparing with Equation of circle( x - h )²+ ( y - k )² = r²,

center of circle = (h,k) = (1,-3)

Radius of circle =√4 = 2unit

[tex] \sqrt{5 ^{ - 3 } } x \sqrt{2 ^{ - 3} } [/tex]

Multiply the terms with equal exponents by exponents by multiplaying their bases.

[tex]( \sqrt{5 \sqrt{2) ^{ - 3} } } [/tex]

Calculate the product.

[tex] \sqrt{10 ^{ - 3} } [/tex]

Express with a positive exponent using

a ^ {-n }}} = 1

a ^ {n }}}

[tex]\large \frac{1}{ \sqrt{10 ^{3} } } [/tex]

Evaluate the Power.

[tex]\large \frac{1}{10 \sqrt{10} } [/tex]

Rationaliz the denominator

[tex] \frac{ \sqrt{10} }{100} [/tex]

[tex]\color{IRON}{SOLUTION}[/tex]

[tex] \frac{ \sqrt{10} }{100} [/tex]

Alternate form

[tex]\color{iron}{≈0.0316228}[/tex]

Step-by-step explanation:

plug in y

6=1/3x+11/15

multiply both sides by 15 to get rid of the fraction

90 = 5x +11

move terms to make them like terms

-5x =11- 90

-5x = -79

divide both sides by -5

evaluate for x

Answer:

4 weeks

Step-by-step explanation:

basic math

Answer:

6.5 weeks without parental help, 3.5 weeks with help from your parents.

Step-by-step explanation:

The Equation is:

Y = 20x

Y = Starting price for bikes

X = # of weeks

Therefore:

$130 = 20x

This can be simplified by solving for x

x = 130/20

x = 6.5 weeks

If your parents gave you $60 to help buy the bike the equation would be written as:

Y = 20x + 60

$130 = 20x + 60

Subtract 60 from both sides to get:

$70 = 20x

Solve for x

x = 70/20

x = 3.5 weeks

2x-54 and x + 22 are vertical angles and equal each other. Set the two equations equal to each other and solve for x.

2x -54 = x + 22

Add 54 to both sides:

2x = x + 76

Subtract 1x from each side:

X = 76

The answer is x = 76

Answer:

The function [tex]g(x) = x^2 - 10 x + 32[/tex]

Step-by-step explanation:

(h, k) = (5, 7)

[tex]f(x) = x^2[/tex]

[tex]y = x^2[/tex]

By replacing y = y - 7 and x = x -5, we get the function g(x).

[tex]y - 7 = (x - 5)^2\\\\y - 7 = x^2 + 25 - 10 x \\\\y = x^2 - 10 x + 32\\\\g(x) = x^2 - 10 x + 32[/tex]

Answer:b

Step-by-step explanation: i took the test

Answer:

0.78

Step-by-step explanation:

The constant of proportionality is the "k" in y = kx.

y is the dependent variable (whatever you do to x changes y)

x is the independent variable (it doesn't change in relation to y)

Your pounds of apples is your x

Your cost is your y

From the first row: 0.78 = (k)(1), which simplifies to k = 0.78

If you want to test it out, pick another line:

y = kx

3.12 = (k)(4)

divide both sides by 4

k = 0.78

It's great when tables like this have something in the x column that is a 1...because then the y is also the k

Answer:

sorry ma g dont know this but my boy aaron yeager is smart he can help u 839

Step-by-step explanation:

Answer:

No error

Step-by-step explanation:

Ling tried to solve an equation step by step.

Step 1.

-2q + 11 = -32

Step 2.

Subtract 11 from both sides,

-2q + 11 -11 = -32 -11

-2q = -43

Step 3.

Dividing both sides by 2,

q = 21.5

Hence, the calculation has no error.

Answer:

C. Ling did not make a mistake

Step-by-step explanation:

khan

Answer:

12 by 12

Step-by-step explanation:

The area of a square is [tex]s^2[/tex], where [tex]s[/tex] is side length of the square. Therefore, we have:

[tex]s^2=144,\\s=\sqrt{144}=12[/tex]

Since all side lengths of a square are equal, the dimensions are 12 by 12.

Answer:

Step-by-step explanation:

area of square=l^2

144=l^2

[tex]\sqrt{144[/tex]=l

12=l

therefore the dimensions of square is 12 x 12.

Answer:

39.2 is the mean

the deviation is 15.2

Step-by-step explanation:

the mean of a set of numbers is the sum divided by the number of terms = 39.2

the deviation measures the spread of a data distribution of the sample = 15.2

Answer:

10.8

Step-by-step explanation:

To find the mean absolute deviation, first you need to find the mean. To find the mean, add up 23 + 42 + 36 + 63 + 31 and you'll get 195. Divide 195 by the total of numbers, which is 5, and you'll get 39.

After finding the mean, you need to find the distance between the mean, which is 39, and the numbers given. 23 is 16, 42 is 3, 63 is 24, 31 is 8, and 36 is 3. Then, you'll need to calculate the mean of the distances that you got.

16 plus 3 plus 24 plus 8 plus 3 = 54. Once you got this, divide 54 by the total of numbers, which is 5, and you'll get 10.8.

Answer:

27x-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

here x1=8 , y1=9 , x2=4 , y2=4

using formula

slipe(m)=y2-y1/x2-x1

=4-9/4-8

=-5/-4

=5/4

Answer:

x = 9.4

Step-by-step explanation:

it's a right triangle so you can use Pythagorean Theorem:  a² + b² = c²

7.1² + 6.2² = x²

50.41 + 38.44 = x²

88.85 = x²

√88.85 = x

9.4 = x

Answer:

[tex]\text{d) }p=0.35x+85[/tex]

Step-by-step explanation:

Since the 85 dollar fee is fixed, there should be no coefficient or constant that accompanies it. However, the total cost of the miles is directly proportional to the number of miles he drives. Thus, 0.35 should be accompanied by a constant that represents the total number of miles he drove. In this case, that constant is [tex]x[/tex] and [tex]0.35x[/tex] will represent the cost from the number of miles he drives in addition to the 85$ flat fee, hence [tex]\implies \boxed{\text{d) }p=0.35x+85}[/tex]

Answer:

kbsishodhohror keviegieh

Answer:

[tex]2 {x}^{3} - 4 {x}^{2} - 15x \\ = x( {2x}^{2} - 4x - 15) \\ [/tex]

Step-by-step explanation:

5x-10+3-3x

5x-3x-10+3

2x-7

hope it helps

Answer:

2x-7

Step-by-step explanation:

See image below:)

my answer is in this picture.

Answer:

Solution given

Cos I=adjacent/hypotenuse=16/34

8/17 is a required answer.

The value of the trigonometric ratio of cosI is 8/17 if the length of the side adjacent to the angle is 16 units and the length of the hypotenuse is 34.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle and the trigonometric ratio are defined as the ratio of the pair of sides of a right-angled triangle.

We have a right-angled triangle in the picture.

If we take ∠I to calculate the ratio of cosec.

We know the cos is the ratio of the side adjacent to the angle to the side opposite to the right angle.

The length of the side adjacent to the angle A = 16 units

The length of the side opposite to the angle H = 34 units

Then

[tex]\rm cosI = \frac{A}{H}[/tex]

[tex]\rm cosI = \frac{16}{34}[/tex]

[tex]\rm cosI = \frac{8}{17}[/tex]

Thus, the value of the trigonometric ratio of cosI is 8/17 if the length of the side adjacent to the angle is 16 units and the length of the side opposite to the right angle is 34.

Know more about trigonometry here:

brainly.com/question/26719838

Answer:

7/6

Step-by-step explanation:

x/4 + x/3

-----------------

x/2

Multiply by the common denominator, 12

12(x/4 + x/3)

-----------------

12 *x/2

Distribute

3x + 4x

-----------------

6x

7x

----

6x

Simplify

7/6

Answer:

b)   [tex] \blue{\dfrac{7}{6}} [/tex]

Step-by-step explanation:

[tex] \dfrac{\frac{x}{4} + \frac{x}{3}}{\frac{x}{2}} = [/tex]

[tex] = \dfrac{\frac{3x}{12} + \frac{4x}{12}}{\frac{x}{2}} [/tex]

[tex] = \dfrac{\frac{7x}{12}}{\frac{x}{2}} [/tex]

[tex] = \dfrac{7x}{12} \times \dfrac{2}{x} [/tex]

[tex] = \dfrac{7x \times 2}{12 \times x} [/tex]

[tex] = \blue{\dfrac{7}{6}} [/tex]