The total cost of a pair of jeans and three shirts is $114. The shirts each cost the same amount, and the jeans are $45.

What is the price per shirt?

a.) $69
b.) $23
c.) $53
d.) $159

Answer:

Fill in the long -5/2 on the number line and draw a ray extending to the left

Step-by-step explanation:

Answer:

n²+6n

Step-by-step explanation:

n(6 + n) = 6n+n²= n²+6n

Answer:

f(x) = 4 (0.25)ˣ

Step-by-step explanation:

If the growth factor is between 0 and 1, the function is exponential decay.

If the growth factor is greater than 1, the function is exponential growth.

Answer:

8 months more

Step-by-step explanation:

first calculated how many months total she can donate: 8000/250 = 32 months

2 years has 24 months

subtract 32 with 24 which is 8 and that is how many months left that she can donate

Answer:3/4

Step-by-step explanation:

1x3=3

Answer:

I used an online calculator and I got 0.75

Step-by-step explanation:

Answer:

substitution, and 2) elimination

Step-by-step explanation:

Step-by-step explanation:

elimination

substitution

Answer:

3 2/3

Step-by-step explanation:

Divide 11 by 3 using long division method. then place the quotient as whole number and reminder as numerator and dividend as denominator

The fraction 1 1/3 as an improper fraction is 4/3

From the question, we have the following parameters that can be used in our computation:

Fraction =  1 1/3

When converted to an improper fraction, we have

Numerator = 3 * 1 + 1

Evaluate

Numerator = 4

The denominator remains the same

So, we have

Fraction =  4/3

Hence, the fraction is 4/3

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Answer:

100.48

Step-by-step explanation:

Using the formula : 2pi times the radius, I can plug the radius in and find the circumference. 2 times pi is 6.28, and the radius is 16. 6.28 times 16 =  100.48.

Answer:

19

Step-by-step explanation:

We can multiply the exponents, giving us 19 ^ (1/9 * 9) = 19 ^ 1 = 19.

Answer:

19

Step-by-step explanation:

(19^1/9)^9

19^(1/9*9)

19^1

19

Pergunta correta:

Seja 17x + 51y = 102. Qual é o valor de 9x + 27a? (A) 54 (B) 36 (C) 34 (D) 18 (E) indeterminado

Resposta: A) 54

Explicação passo a passo:

17x + 51y = 102 - - - - equação 1

Divulgue até 17

x + 3y = 6 - - - - - - - Equação 2

9x + 27y - - - - - - - equação 3

Comparando as equações 2 e 3

(Equação 3) = 9 × (equação 2)

Isso é, 9x + 27y = 9 × (x + 3y = 6)

9x + 27y = 9x + 27y = 54

Portanto ; 9x + 27y = 54

Answer:

a = -4,000m + 39,000

Step-by-step explanation:

Answer:

45 different outcomes

Step-by-step explanation:

There are 10+15+20 = 45 pens in the bag

Since he is pulling one pen,  and there are 45 different pens in the bag, there are 45 different outcomes

Answer:

45 fsfs

Step-by-step explanation:

i just took a test and got it right

Answer:

Your answer of [tex]-\frac{39}{8y}[/tex] is correct

Step-by-step explanation:

We begin with the expression: [tex]-\frac{4}{y} +(-\frac{7}{8y} )[/tex]

First, we need to find a common denominator, which in this case would be 8y.

To make the first term have a denominator of 8y, we must multiply it by [tex]\frac{8}{8}[/tex]

[tex]-\frac{4}{y}(\frac{8}{8}) +(-\frac{7}{8y} )\\\\-\frac{32}{8y} +(-\frac{7}{8y} )[/tex]

Now we can add them to get our final answer.

[tex]-\frac{39}{8y}[/tex]

Answer:

2x+3

Step-by-step explanation:

2x+3=Alan's Weight

2x= Dylan's weight times two

+3= the plus three more pounds

Which then equals Alan's weight.

Volume of a Sphere Formula:
[tex]\displaystyle V = \frac{4}{3} \pi r^3[/tex]

Diameter/Radius Relationship:
[tex]\displaystyle r = \frac{d}{2}[/tex]

Let us clearly sort out what information this specific problem gives us:

We can consolidate this into mathematical symbols:

Given what we know, we now need to find the volume of the sphere. With knowledge implied, found under the General Formulas and Concepts section above, we can first solve for the radius [tex]\displaystyle r[/tex]:

[tex]\displaystyle\begin{aligned}r & = \frac{d}{2} \\& = \frac{10 \ \text{in}}{2} \\& = \boxed{5 \ \text{in}} \\\end{aligned}[/tex]

∴ the radius of the sphere is equal to 5 inches.

Now that we have our radius, we can substitute this value into our volume of a sphere formula and evaluate:

[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \boxed{ \frac{500}{3} \pi \ \text{in}^3 } \\\end{aligned}[/tex]

∴ the volume of the sphere is equal to [tex]\boxed{ \frac{500}{3} \pi \ \text{in}^3 }[/tex].

To estimate our answer, we can simply substitute the value of [tex]\displaystyle \pi[/tex] for 3.14, as defined by the problem, and evaluate once more:

[tex]\displaystyle\begin{aligned}V & = \frac{4}{3} \pi r^3 \\& = \frac{4}{3} \pi (5 \ \text{in})^3 \\& = \frac{4}{3} \pi (125 \ \text{in}^3) \\& = \frac{500}{3} \pi \ \text{in}^3 \\& = \frac{500}{3} (3.14) \ \text{in}^3 \\& \approx \boxed{ 523.333 \ \text{in}^3 }\end{aligned}[/tex]

∴ the volume of the sphere is approximately equal to [tex]\displaystyle \boxed{ 523.333 \ \text{in}^3 }[/tex].

∴ the best answer choice that corresponds to our gathered result is answer choice b. 523.333 cu. in.

___

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Topic: Geometry

Unit: Volume

Answer:

108m^2

Step-by-step explanation:

surface area of any shape: sum of the area of its sides.

area of cross section x 2 = 4 x 3 12 m^2

area of slope:  5m x 8m = 40m^2

area of base: 8 X 3 = 24 m^2

area of back: 8m x 4m = 32m^2

sum = surface area = 108m^2

Please mark brainiest

Answer: 12 minutes

Step-by-step explanation:

Volume of water in the tank

l x b x h = 24 * 16 * 15 = 5760 cu. in.

Time it will take to fill the tank

= 5760 / 500 = 11.52 = 12 minutes

Answer:

A circular test track for cars has a circumference of 3.5km . A. car travels around the track from the southernmost point to the.

Step-by-step explanation:

Answer:

Inverse relationship

Step-by-step explanation:

The equation we are looking at is;

y = 87.2/x

which implies xy = 87.2

If it was a direct relationship

y = constant * x

if it was inverse, it would have been

y * x = constant

since 87.2 is a constant, the question looks exactly like the second scenario.

This means that what we have is an inverse relationship

Answer:

multiply bottom equation by 3

Step-by-step explanation:

That way, the -3y can be -9y and 9y and -9y can cancel.

Answer:

D. Multiply the bottom equation by 3

Step-by-step explanation:

A.

If you multiply the bottom equation by 7, then your equation will be:

7x+9y=8

14x-21y=7

Which will not get rid of y.

B.

If you multiply the top equation by 3, then your equation will be:

21x+27y=24

2x-3y=1

Which will not get rid of y.

C.

If you multiply the top equation by 2, then your equation will be:

14x+18y=16

2x-3y=1

Which will not get rid of y.

D.

If you multiply the bottom equation by 3, then your equation will be:

7x+9y=8

6x-9y=3

Which will get rid of y.

Answer:

equation

Step-by-step explanation:

Equations have equals signs, expressions do not

15x-10 is an expression

9+5 = 32 is an equation  ( it is a wrong equation)

Answer:

-1/2

Because, for every one square, the line goes down by 1/2.

Answer:

- 0.5

Step-by-step explanation:

To find the gradient of a line,

divide the value of decrease by the value across.

So, count across from the extreme left toll the extreme right = 13

Where you completed in the extreme right, you have to count down till you reach the other end of the line = 6.5

Now, you divide: 6.5 divided by 13 = 0.5

Since we counted down, it is negative = -0.5

Please mark brainiest

Answer:

=1/26

Step-by-step explanation:

In a 52 card deck there are 2 red 8's ( hearts and diamonds)

P(red 8) = number of red 8's / total

             =2/52

             =1/26

Answer:

No.

[tex]\text{Average rate} = \dfrac{\text{Total distance}}{\text{Total time}} = \dfrac{r_{1}t_{1} + r_{2}t_{2}}{t_{1} + t_{2}}\\\\= \text{50.91 mi/h}[/tex]

Step-by-step explanation:

First leg:              d = r₁t₁

Second leg:        d = r₂t₂

                         r₁t₁ = r₂t₂

Total distance: 2d = r₁t₁ + r₂t₂

Total time:           t = t₁ + t₂

1. Equation for average rate

[tex]\text{Average rate} = \dfrac{\text{Total distance}}{\text{Total time}} = \dfrac{r_{1}t_{1} + r_{2}t_{2}}{t_{1} + t_{2}}[/tex]

2. Average rate

Since r₁t₁ = r₂t₂,

[tex]t_{1} = \dfrac{r_{2}t_{2}}{r_{1}} = \frac{40}{70}t_{2} = \frac{4}{7}t_{2}\\\\\text{Average rate} = \dfrac{2r_{2}t_{2}}{\frac{4}{7}t_{2} + t_{2}} = \dfrac{2 \times 40t_{2}}{\frac{4t_{2}+ 7t_{2}}{7}}= 80t_{2} \times\frac{7}{11t_{2}} = \dfrac{560}{11}\\\\= \textbf{50.91 mi/h}[/tex]

We cannot say truthfully that the average rate is 55 mi/h.

The average rate of a body is the total distance travelled divided by the total time.

The cheetah runs at an average rate of 50.91mph, not 55mph

Let

[tex]d \to[/tex] distance

[tex]r \to[/tex] average rate

[tex]t \to[/tex] time

Given that:

[tex]d = r_1t_1 = r_2t_2[/tex]

So, we have:

[tex]r_1 = 70[/tex]

[tex]r_2 = 40[/tex]

The average rate (r) is calculated as follows:

[tex]r = \frac{Total\ Distance (D)}{Total\ Time (T)}[/tex]

Where:

[tex]D=d + d[/tex]

[tex]D = r_1t_1 + r_2t_2[/tex]

and

[tex]T =t_1 + t_2[/tex]

So, the average rate is:

[tex]r =\frac{r_1t_1 + r_2t_2}{t_1 + t_2}[/tex]

Recall that:

[tex]D = r_1t_1 + r_2t_2[/tex]

[tex]r_1t_1 = r_2t_2[/tex]

Make [tex]t_2[/tex] the subject

[tex]t_2 = \frac{r_1t_1}{r_2}[/tex]

Substitute values for [tex]r_1[/tex] and [tex]r_2[/tex]

[tex]t_2 = \frac{70t_1}{40}[/tex]

So, we have:

[tex]r =\frac{r_1t_1 + r_2t_2}{t_1 + t_2}[/tex]

[tex]r = \frac{70t_1 + 40 \times \frac{70t_1}{40}}{t_1 + \frac{70t_1}{40}}[/tex]

[tex]r = \frac{70t_1 + 70t_1}{t_1 + \frac{70t_1}{40}}[/tex]

[tex]r = \frac{140t_1}{t_1 + \frac{70t_1}{40}}[/tex]

Factor out t1

[tex]r= \frac{140t_1}{t_1(1 + \frac{70}{40})}[/tex]

[tex]r = \frac{140}{(1 + \frac{70}{40})}[/tex]

[tex]r = \frac{140}{\frac{40+70}{40}}[/tex]

[tex]r= \frac{140}{\frac{110}{40}}[/tex]

Rewrite as:

[tex]r = \frac{140 \times 40}{110}[/tex]

[tex]r = 50.91mph[/tex]

Hence, the cheetah's average rate is 50.91mph, not 55mph

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Answer:

9 feet

Step-by-step explanation:

The height of the ball in feet is given by the polynomial:

[tex]h(t) = -16t^2+50t+3[/tex]

where t is the time in seconds.

After 3 seconds, t = 3:

[tex]h(3) = -16(3)^2 + 50(3) + 3 \\\\h = -144 + 150 + 3 = 9 feet[/tex]

The height of the ball after 3 seconds is 9 feet.

Answer:

a) The equation is y = 6x + 25 since the 25 is the initial fee.

b) We plug in 10 for x. 6 * 10 + 25 = $85.

c) We plug in 7 for x and get 6 * 7 + 25  = $69.

Answer:

see below

Step-by-step explanation:

a) y = 6x + 25  (because the 25 is the initial fee)

b) x = 10, so:  

= 6 * 10 + 25

= $85

c) x = 7, so:

= 6 * 7 + 25  

= $69

Hope this helps!

Answer:

C, A and B

Step-by-step explanation:

Tank A holds 40 Liters and 5 fish.

Tank B holds 100 Liters and 12 fish.

Tank C holds 180 Liters and 23 fish.

Therefore, the volume per fish from least to greatest is:

7.83, 8 and 8.33

These correspond to the tanks: C, A and B respectively.

Answer:

CAB

Step-by-step explanation:

Got it right in Khan!

Answer:

The third number is 180.

Step-by-step explanation:

Let the third number be 9x where x is an integer.

48 = 2*2*2*2*3

264 = 2*2*2*3*11

9x = 3*3*x

2*2*2*2*3*3*11*x = 7920y where y is an integer

1584x = 7920y

so x = 7920y / 1584= 5y.

Now the GCD is 12  so x must have  4 as one of its factors.

Also x is a multiple of 5 so it could be 20 then y  would be 4.

If x = 20 then the third number is 9*20 = 180.

This checks out OK.

Answer:

[tex]x=40[/tex]

Step-by-step explanation:

[tex]x=\frac{4}{5}\left(x+10\right)\\\mathrm{Expand\:}\frac{4}{5}\left(x+10\right):\quad \frac{4}{5}x+8\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=\frac{4}{5},\:b=x,\:c=10\\=\frac{4}{5}x+\frac{4}{5}\cdot \:10\\=\frac{4}{5}x+10\cdot \frac{4}{5}\\10\cdot \frac{4}{5}=8\\10\cdot \frac{4}{5}\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{4\cdot \:10}{5}\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:10=40\\=\frac{40}{5}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{40}{5}=8\\=\frac{4}{5}x+8\\x=\frac{4}{5}x+8\\\mathrm{Subtract\:}\frac{4}{5}x\mathrm{\:from\:both\:sides}\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\Simplify\\x-\frac{4}{5}x=\frac{4}{5}x+8-\frac{4}{5}x\\\mathrm{Simplify\:}x-\frac{4}{5}x:\quad \frac{1}{5}x\\x-\frac{4}{5}x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(1-\frac{4}{5}\right)\\1-\frac{4}{5}=\frac{1}{5}\\=\frac{1}{5}x\\1-\frac{4}{5}[/tex]

[tex]\mathrm{Convert\:element\:to\:fraction}:\quad \:1=\frac{1\cdot \:5}{5}\\=\frac{1\cdot \:5}{5}-\frac{4}{5}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{1\cdot \:5-4}{5}\\1\cdot \:5-4=1\\1\cdot \:5-4\\\mathrm{Multiply\:the\:numbers:}\:1\cdot \:5=5\\=5-4\\\mathrm{Subtract\:the\:numbers:}\:5-4=1\\=1\\=\frac{1}{5}\\=\frac{1}{5}x\\\mathrm{Simplify\:}\frac{4}{5}x+8-\frac{4}{5}x:\quad 8\\\frac{4}{5}x+8-\frac{4}{5}x[/tex]

[tex]\mathrm{Add\:similar\:elements:}\:\frac{4}{5}x-\frac{4}{5}x=0\\=8\\\frac{1}{5}x=8\\\mathrm{Multiply\:both\:sides\:by\:}5\\5\cdot \frac{1}{5}x=8\cdot \:5\\\mathrm{Simplify}\\x=40[/tex]

Answer:

40

Step-by-step explanation:

x+10= x 5/4

x +10= 5x/4

4x+40= 5x

40= x

x=40