Two horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second.
After 5 seconds, how much farther will Horse A have traveled?

Answer:

60

Step-by-step explanation:

A man purchase 5 dozen banana , find equation to find total number of banana and how many banana he have.

Total number of banana = 12 x 6

Total number of banana = 60

The product of the slopes of this line and the line perpendicular to it is equal to -1.

Note that the slope if the coefficient of x.

Let

[tex] \alpha [/tex]

be the slope of the given line.

Let

[tex] \beta [/tex]

be the slope of the line perpendicular to it.

I can therefore say,

[tex] \alpha \times \beta = - 1[/tex]

[tex] \frac{ - 4}{3} \times \beta = - 1[/tex]

[tex] \beta = \frac{ - 1}{ \frac{ - 4}{3} } [/tex]

[tex] \beta = \frac{ - 3}{ - 4} = \frac{3}{ 4} [/tex]

The slope is 3/4

Answer:

Step-by-step explanation:

Consider what y values you are getting by letting x = 5 and then letting x = 6.

when x = 5 , y = 20

y = m*5

20 = m*5                      Divide by 5

20/5 = m/5                  

4 = m

when x = 6 y = 24

y = mx

24 = m*6                     Divide by 6

24/6 = m

m = 4

So now we can be sure of our solution for x when y = 32

y = m*n

32 = 4*n                      Divide both sides by 4

32/4 = 4*n/4

n = 8

Answer: n = 8

Answer: Triangle ADB is congruent to CBD

Step-by-step explanation:

S1: Try to measure the sides to look alike.

S2: Compare your answers to someone in your class!!!

Answer:

first option

Step-by-step explanation:

i just took the test on edge.

The factor of the polynomial [tex]f(x) = 6x^4 - 21x^3 - 4x^2 + 24x - 35[/tex] is (a) 2x - 7

The polynomial function is given as:

[tex]f(x) = 6x^4 - 21x^3 - 4x^2 + 24x - 35[/tex]

To determine if 2x - 7 is a factor, we start by setting it to 0

[tex]2x - 7 = 0[/tex]

Add 7 to both sides

[tex]2x = 7[/tex]

Divide both sides by 2

[tex]x =3.5[/tex]

Substitute 3.5 for x in f(x)

[tex]f(3.5) = 6(3.5)^4 - 21(3.5)^3 - 4(3.5)^2 + 24(3.5) - 35[/tex]

[tex]f(3.5) =0[/tex]

Because f(3.5) equals 0, then 2x - 7 is a factor of the polynomial

Read more about polynomial factors at:

https://brainly.com/question/2416165

Answer:

≈ 69.08mm

Step-by-step explanation:

The circumference of a circle can be found with the formula:

[tex]C=2$\pi$r[/tex], where r is the radius of the circle.

Let's solve for the circumference.

[tex]2*3.14=6.28[/tex]

[tex]6.28*11=69.08[/tex]

Therefore, the circumference is 69.08

#LearnWithBrainly

Answer:

B - 84.69

Step-by-step explanation:

The answer is b because you have to multiply 7 by 12 then you'll get 84

Answer:

A

Step-by-step explanation:

because you have to multiple 7 by 12 then you will get 84.70

Answer:

B

Step-by-step explanation:

[tex]1\frac{1}{3}\times2\frac{1}{3}\\= \frac{4}{3}\times\frac{7}{3}\\= \frac{28}{9}\\= \frac{27+1}{9}\\=\frac{27}{9}+\frac{1}{9}\\=3+\frac{1}{9}\\=3\frac{1}{9}[/tex]yd²

Answer:

$1.26

Step-by-step explanation:

total: 16.2 (3.24 * 5)

4.55 + 2.53 + 2.82 + 4.66 = 14.56

16.2 - 14.56 = 1.26

The price of the fifth item in W's bag is $1.55 if the mean price of all five items is $3.24.

A mean is one of the measures of central tendencies and is the average value of a group of observations. It is the ratio of the sum of all observations to the total number of observations.

The prices of the 4 items out of the 5 items W has bought are given as follows:

$4.55, $2.53, $2.82, $4.66

It is also given that the mean cost for each item is $3.24.

Let the price of the fifth item be x, then according to the question;

[tex]\dfrac{ 4.55+ 2.53+2.82+4.66+x}{5} = 3.24\\14.65 + x = 3.24 \times 5\\14.65 + x = 16.2\\x = 1.55[/tex]

Therefore, the price of the fifth item in the bag is $1.55.

Learn more about Mean here:

https://brainly.com/question/31101410

#SPJ3

Answer:

40/50

Step-by-step explanation:

That’s the probability of him hitting them

Answer:

5/32 or 15.625

Step-by-step explanation:

I don't remember how I got the answer but it was just in my notes as the answer so yea. :]

Answer:

slope = -1/3

Step-by-step explanation:

x+3y=15

-x         3y=-x+15

divide by 3       y= -1/3x -5

The total surface area of the figure is 862ft²

The composite figure is made up of a pyramid and prism

Surface area of pyramid = 2(13*9) + (10*9) + (10*12)
Surface area of pyramid = 234 + 90 +120

Surface area of pyramid = 444ft²

For the rectangular prism

Surface area  = 2(11*9) + 2(10 * 11)

Surface area = 198 + 220
Surface area = 418ft²

Surface area of figure = 444 + 418

Surface area of figure = 862ft²

Hence the total surface area of the figure is 862ft²

Learn more on surface area here: https://brainly.com/question/20771646

Answer:

You will be remembered as a bad student who failed a state test in 9th grade!

Hope it helps!

Answer:

It depends on the grade or school some schools let you retake the test if you fail it you might fail that class and take the same class for 10th

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Given :-

z = -1/4

Inputting the values :-

2/z + 3/z²

2/(-1/4) + 3/(-1/4)²

(2 x -4) + (3 x 16)

-8 + 48

= 40

Solution :-

40

Answer:

40

Step-by-step explanation:

[tex]\dfrac{2}{z}+\dfrac{3}{z^2}[/tex]

[tex]\textsf{if} \ z=-\dfrac14[/tex]

[tex]\implies \dfrac{2}{-\frac14}+\dfrac{3}{(-\frac14)^2}[/tex]

[tex]\implies -\dfrac{2}{\frac14}+\dfrac{3}{\frac{1}{16}}[/tex]

[tex]\implies -2 \times 4+3 \times 16[/tex]

[tex]\implies -8+48[/tex]

[tex]\implies 40[/tex]

Answer:

$6.30

Step-by-step explanation:

A sharpener is 0.90 in dollars, so 3*0.9 is 2.7. 10-2.7=6.3, so the answer should be $6.30

Answer:

(-9,4)

Step-by-step explanation:

Answer:

1,3,5

Step-by-step explanation:

1-The first one because you move to the left one place value

2-the value is not 10 times greater it is ten times smaller because it moves to the right one value

3-yes, the 8 is ten times greater because it moved to the right one place value

4-This is not true because if it was 1/10th the value it needs to be ten times smaller, not ten times greater

5- this is true because it moves to the right by one place value

6- this is not true because it is ten times greater not ten times smaller

Hope this helps you out!

Answer:

c

Step-by-step explanation:

basic theory, can't explain further.

Answer: y=6

Step-by-step: 2(−6)+3=18 distributed into 2−12+3=18

Next, Combine Like Terms.

2−12+3=18

5−12=18

Wait oh, you wanted the. Oh. Well the distribution of it is 2y-12+3y=18. Sorry!

Answer:

B

Step-by-step explanation:

Ed2021

Answer:

C. y = 1/8x

D. y = x - 133

Step-by-step explanation:

In order to find the answer, you have to think about the answer choices

A. is saying that if you multiply 152 by 8, you will get 19 which is definitely not true

B. is saying that y is equal to 152/133 which is not true since 152/133= 8/7 which is some wacky decimal

C. would make sense because if you divide 152 and 8, you will get 19

Which makes the equation true because if you multiply 1/8 by 152/1, you get 152/8 which simplifies to 19 which satisfies the equation

D. This would also make sense since 152-133=19

So at the end, we can come to a conclusion that:

C. and D. are the equations that satisfy the relation

Answer:

bottom graph of left picture

Step-by-step explanation:

For each day he makes his bed, he earns $0.50

In 1 day he earns $0.50

In 2 days he earns $1.00

In 3 days, he earns $1.50

...

In 8 days, he earns $4.00

Look in the 4 graphs.

Which graph has the following points, (1, 0.5), (2, 1), 3, 1.5), ... , (8, 4)?

It is the second graph (bottom graph of left picture.)

Answer:

n > -1/4

Step-by-step explanation:

-28n < 7

Divide by -28 on both sides

-28/-28n < 7/-28

Flip the inequality symbol when dividing by a negative number.

n > -7/28

which simplifies to

n > -1/4

Answer:

n greater than or equal to -1/4

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

The sale of the four different sizes is an illustration of the Goodness of Fit Tests

The expected counts for each size box are 0.8, 3.6, 36.6 and 4.05 respectively

The null hypothesis is always represented by the equality sign i.e. 0 change or no change.

While the alternate hypothesis is always represented by an inequality.

So, the null and the alternate hypotheses are:

This calculated as:

E(x) = np

So, we have:

Small = 8 * 10% = 0.8

Medium = 24 * 15% = 3.6

Large = 61 * 60% = 36.6

Jumbo = 27 * 15% = 4.05

Hence, the expected counts for each size box are 0.8, 3.6, 36.6 and 4.05 respectively

Read more about expected values at:

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Answer:

288

this 8s because 72 x 4 is 288 2x4 is 8 and 4x72 is 28 so the answer is 288

Answer:

They are adding 2 by each number.

A set of numbers is a group of numbers that are related in one way or the other. The statement that best describes the set is:

The set of even numbers from 14 to 22

Given that:

[tex]Set = 14\ 16\ 18\ 20\ 22[/tex]

From the above set of numbers, we have the following observations

So, we can describe the set using the following statement:

The set of even numbers from 14 to 22

Read more about set of numbers at:

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Answer:  3

Step-by-step explanation:

Let x be the missing base. In this case, base to the power of 2 means this number x times itself will equal 9.

9 = [tex]x^{2}[/tex]

[tex]\sqrt{9}[/tex] = [tex]\sqrt{x^{2} }[/tex]  [use square root to cancel the power of 2].

[tex]\sqrt{9}[/tex] = x

x = 3

Check: [tex]3^{2}[/tex] = 3 x 3 = 9