Greg bought 5 new sweatshirts at one store for a total of $63. His younger brother Zachary bought 4 sweatshirts at a different store and paid $54.
a. Explain the meaning of unit rate, and give the unit rate for each boy.
b. Which is the better buy?

Answer: 270 minutes or 4 hours and 30 minutes

Step-by-step explanation: 3x6 =18  and 45 x 6= 270

Answer:

y=C-5x^2

Step-by-step explanation:

Answer

53

Step-by-step explanation:

75-15=50+3=53

- this is a proportion so you can cross multiply to find the answer.

162.5       25

--------- = ---------

x              54

162.5(54) = 25x

8775 = 25x

x = 351

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The value of x and y using the elimination approach on the equations will be 3.45 and 2.81 respectively.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

Given the set of equations,

3x + 2y=16

2x +5y=21

Multiply by 2 to the first equation and by 3 to the second equation.

Fist becomes ⇒

6x + 4y = 32

Second become ⇒

6x + 15y = 63

By subtracting second - first

11y = 31

y = 2.818181...

By substitution,

6x + 4(2.81) = 32

x = 3.454545..

Hence "The value of x and y using the elimination approach on the equations will be 3.45 and 2.81 respectively".

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Answer:

Step-by-step explanation:

((((((.5 mile = .25 hour<<<<<<<<<<<<<<<<<<<<<<<<<<

Multiply both sides by 4, because there are 4 quarters in 1 hour

(4)(.5) = (.25)(4)

2 miles =1 hr

Multiply both sides of the original equation by 3 to figure out how far in 3/4 of an hour

(3)(.5) = (3)(.25)

1.5 miles = 3/4 of an hour

now add the two answers together to figure out that the person walked 3.5 miles in 1 3/4 hours

***You also could have multiplied both sides of the original equation by 7, recognizing that that there are 7 quarters in 1.75 hours.

Answer:

The slope is -4

Step-by-step explanation:

Answer: -4

-4 is the slope because in the equation y=mx+b, m represents the slope.

hope this helps :)

Angle A (6x +11)  = 53

12x - 7 = 77

Answer:

9x

9 is the coefficient

Step-by-step explanation:

5x + 4x

These are like terms (they both have the same variable (x))

5x + 4x = 9x

The coefficient is 9, since it's the number in front of a variable.

Hope this helped!

Answer:

5

Step-by-step explanation:

estimated would be 8 - 3

To solve the problem we must know about fractions.

A fraction is a way to describe a part of a whole. such as the fraction  [tex]\frac{1}{4}[/tex] can be described as 0.25

A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator.

The solution to this problem is [tex]5\dfrac{13}{40}[/tex].

Given to us

[tex]8\frac{1}{5}-2\frac{7}{8}[/tex]

Converting the mixed fractions to fraction

[tex]8\dfrac{1}{5}-2\dfrac{7}{8}\\\\=\dfrac{(8 \times 5)+1}{5}-\dfrac{(8\times 2)+7}{8}\\\\=\dfrac{41}{5}-\dfrac{23}{8}\\\\[/tex]

Taking LCM,

[tex]=\dfrac{41\times 8}{5\times 8}-\dfrac{23\times 5}{8\times 5}\\\\=\dfrac{328}{40}-\dfrac{115}{40}\\\\=\dfrac{328-115}{40}\\\\=\dfrac{213}{40}[/tex]

Converting to Mixed Fractions,

[tex]=5\dfrac{13}{40}[/tex]

Hence, the solution to this problem is [tex]5\dfrac{13}{40}[/tex].

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Answer:

350

Step-by-step explanation:

28% de x es 98

[tex] \frac{28}{100} x = 98 \\ \\ x = 98 \times \frac{100}{28} \\ \\ x = \frac{9800}{28} \\ \\ x = 350[/tex]

Answer:

Ships A and B are 1,425 feet apart and detect a submarine below them. The angle of depression from ship A to the submarine is 59°, and the angle of depression from ship B to the submarine is 47°.

How far away is the submarine from the two ships? Round to the nearest hundredth of a foot.

The distance from ship A to the submarine is about

feet.

The distance from ship B to the submarine is about

feet.

Step-by-step explanation: answer this and ill answer yours.

Answer:e

Step-by-step explanation:

Answer:

112 is the answer

Step-by-step explanation:

to find the value of x, you need to add both the numbers 34 and 78 to find x.

Answer:

x=112

Step-by-step explanation:

x=78+34

(here the 34 passes to the other side, and because it is substracing, you pass it adding)

x=112

Answer:

Step-by-step explanation:

these expressions are equivalent

4(2x+4)= 8x+16 after multiplying 4 with 2x+4

Answer:

yes

Step-by-step explanation:

Yes. If I substitute a number for x, the result is the same.

Answer:

4.5 pounds

Step-by-step explanation:

Answer:

A) [tex]y=-\frac{1}{20}x+20[/tex]

B) 14 gallons of gasoline

A linear function that relates the amount of gasoline to the traveling distance is : y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

Given is a table shows the amount of gasoline [g] (in gallons) left in your tank after you travel [m] miles.

The given table is -

Miles [m]    Gallons [g]

  0                 20

 20                19

 40                18

 60                17

We can write the linear function as -

y = mx + c

We can write the slope as -

m = {(19 - 20)/(20 - 0)}

m = (- 1/20)

At [x] = 0, then [y] = 20. So, the equation will be -

y = (-1/20)x + 20

y = - (1/20)x + 20

At [x] = 120 miles -

y(120) = (-1/20 x 200) + 20

y(120) = - 10 + 20

y(120) = 10 gallons

Therefore, a linear function that relates the amount of gasoline to the traveling distance is - y = - (1/20)x + 20 and the gallons of gasoline left after you drive 120 miles will be 10 gallons.

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Answer:

Greatest Common Factor of 40+24 is 8

Rewriting the expression using the distributive property we get             8(5+3) =8(5)+8(3)

Step-by-step explanation:

We need to F=find the greatest common factor of the two numbers 40+24 and rewrite the expression using the distributive property

The greatest number that is divisible by both numbers is known as greatest common factor.

So, Greatest Common Factor of 40+24 is 8

Now, Taking 8 common we get: 8(5+3)

It is written as: a(b+c) = ab+ac

So, we have 8(5+3) =8(5)+8(3)

Rewriting the expression using the distributive property we get 8(5+3) =8(5)+8(3)

Answer:

P (34<X<39) = 0.5899

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 37, \sigma = 3[/tex]

What is the probability that a cat would return to it's dish between 34 and 39 times a day.

This is the pvalue of Z when X = 39 subtracted by the pvalue of Z when X = 34. So

X = 39

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{39 - 37}{3}[/tex]

[tex]Z = 0.67[/tex]

[tex]Z = 0.67[/tex] has a pvalue of 0.7486

X = 34

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{34 - 37}{3}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a pvalue of 0.1587

0.7486 - 0.1587 = 0.5899

So

P (34<X<39) = 0.5899

Answer:

48

Step-by-step explanation:

64*3/4=48

answer:

increase, $80

Answer:

it should be

C. y = 2x +2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The starting point is 2. Where the line touches the y axis. The line as you see is going down which is negative. Pick 2 points on the graph where it’s touching. It is going down by 2. Hope this helps!

Answer: 6 faces 12 edges 8 verticies

Step-by-step explanation:

Answers:

6 faces

12 edges

8 verticies

Answer:

About 8 years

Step-by-step explanation:

3% of $800 is $24

$24 x 8 is $192 add that to the $800 and you get $992

Answer:

261763

Step-by-step explanation:

599*437

=261763