Define the variables and write a system of equations to represent the given situation do not solve

Jason spent a total of $131 on shirts. Dress shirts cost $28 dollars and T-shirts cost $15 dollars. If he brought 7 shirts how many of each kind did he buy?

Answer:

Lemon juice / water  =  12,5 / 47,5  or 26,31 %

Step-by-step explanation:

First step:

We got  60 liters. of water and we replace 15 liters. of water and add 15 liters of lemon juice, then our mixture is:

60 lts. of mixture       ⇒ with      45 lts. is water   and 15 lts. is lemon juice

The proportion of the mixture  

each liter of the mixture is   0,75 lts. of water and 0,25 of lemon juice

2 step

Removing 10 lts. of mixture implies

10 lts of mixture    means    7,5 lts. of water and 2,5 lts. of lemon juice

then we have

50 lts. of mixture     with   (45 - 7,5 = 37,5 lts.) of water and (15 - 2,5 = 12,5 ) lts. of lemon juice

third step

Addind 10 lts. of water:

60 lts. of mixture  with  ( 37,5 + 10 = 47,5) lts. of water and 12,5 lts. of lemon juice

Final mixture is

60 lts. of mixture with   47,5 lts. of water  and 12,5 lts. of lemon juice

Proportion

Lemon juice / water  =  12,5 / 47,5    or  26,32 %

h(6) = 11

Hi there !

h(t) = t + 2 + 3

= t + 5

replace t = 6

h(6) = 6 + 5

= 11

Good luck !

Answer: option c

good luck

Answer:

Step-by-step explanation:

30

Answer:

I'm sorry!! is that the way it's written exactly? Because If that's not it then I can't answer it for you. Because it's technically impossible. The answer I have for this is, "False" literally.

Step-by-step explanation:

Answer:

a is 64 b 125 c 36

Step-by-step

so you do 2 times 2 times 2 = 8 because there is a 3 so you multiply it by it self how ever many times the number above it says so after you do that its the same for the other number so they are both 8 so 8 times 8 is 64

Answer:

You could type 360 words in 12 minutes

Step-by-step explanation:

150/5=30

12*30=360

Answer:

-25.53%

Step-by-step explanation:

Answer:

The statement is;

The polynomial function has 3 roots with 2 being real roots and 1 being a complex root

Step-by-step explanation:

Here, we want to state the description of the number and nature of all roots for this function.

The statements are;

1. The polynomial have three roots

2. There are 2 real roots and 1 complex root

Answer:

A

Step-by-step explanation:

on edg 2020!

Answer:

36

Step-by-step explanation:

If the triangles have similar sides, any increase or decrease in side length is in equal number. This means equal ratio. How?

Let the common factor of decrease in side OD to AP be, z

[tex]\frac{30}{20} = z[/tex]

And, the common factor of decrease in side DT to PN be, z

[tex]\frac{x}{24} = z[/tex]

So, [tex]z = z[/tex]

[tex]\frac{30}{20} = \frac{x}{24}[/tex]

[tex]\frac{30}{20}[/tex] × [tex]24[/tex] = [tex]{x}[/tex]

Therefore,

[tex]{x}[/tex] = [tex]\frac{3}{2}[/tex] × [tex]24[/tex]

  = [tex]3[/tex] × [tex]12[/tex]

  = [tex]36[/tex]

Answer:

68.7 - t

Step-by-step explanation:

Here, we are interested in giving the expression that Kalinda can use to know the difference in height between her and Terrence

From the question, Kalinda is 68.7 inches tall while Terrence is t inches tall

To know the difference in their heights, we simply subtract Terrence’s height from Kalinda’a

Mathematically, that would be 68.7 - t

Answer:

Its A

Step-by-step explanation:

Answer:

Slope: 3

Step-by-step explanation:

find 2 points on the line and do rise/run which would get 3/1 which is 3

Answer:

f(29) = - [tex]\frac{9}{290}[/tex]

Step-by-step explanation:

Step 1: substitute f(29) into the equation.

f(29) = 2(29 - 20)²⁻³

29 replaces x.

Step 2: simplify the exponent

f(29) = 2(29 - 20)⁻¹

2-3 is -1, so the exponent is -1

Step 3: distribute the exponent to the parentheses

f(29) = 2([tex]\frac{1}{29}[/tex] - [tex]\frac{1}{20}[/tex])

Since the exponent is a negative one, basically make it a fraction with the base as the denominator and the exponent as a numerator. I don't know too much about negative exponents, but this is how to factor in a -1.

Step 4: Distribute.

f(29) = [tex]\frac{2}{29} -\frac{2}{20}[/tex]

Step 5: Simplify before finding a common denominator (2/20 cancels out)

f(29) = 2/29 - 1/10

Step 6: Find a common denominator (290)

f(29) = [tex]\frac{20}{290}[/tex] - [tex]\frac{29}{290}[/tex]

Step 7: Simplify

f(29) = - [tex]\frac{9}{290}[/tex]

TBH I'm not sure this is correct, but I hope this helps =)

Answer: y= -3x+4

Step-by-step explanation:

Hope this helps

Answer:

10.02

Step-by-step explanation:

Answer:

The domain is time (t) and the range is distance (d).

Step-by-step explanation:

I TOOK THE Test

The time (t) is the domain and range is distance (d)

The word domain refers to a set of possible input values, on the other hand range refers to the set of possible output value.

Allow x to be an independent variable in the function y is equal to fx, and y is a reliant variable. A value for x is said to be in the domain of a function f if it successfully allows the production of a numerical result y using another value for x.

A train travels at 75 miles per hour.

An equation can be written that compares the time (t) with the distance

here, time (t) is independent value and distance (d) is dependent value which is dependent on time (t).

The domain is time (t) and the range is distance (d).

Learn more about domain and range here:

https://brainly.com/question/30133157

#SPJ2

Answer:

x=8

Step-by-step explanation:

Answer

  x=8

Step-by-step explanation:

x

P

(

x

)

1

0.4

5

0.1

8

0.2

1

0.1

14

0.2

x

P

(

x

)

0

0.23

1

0.37

2

0.22

3

0.13

4

0.03

5

2.01

6

0.01

x

P

(

x

)

0

0.24

1

0.34

2

0.22

3

0.13

4

0.03

5

0.01

6

0.03

Answer:

x ^3 + 9 x^ 2 + 27 x + 27

Step-by-step explanation:

Answer:

x+9

Step-by-step explanation:

square the 3 and keep the x

Answer:

yes it is proportional, if you subtract 3.76 from 5.64 you get 1.88 then add 1.88 to each number to make sure it's right.

Answer:

The statement of whether the cost is proportional to the cost and weight of apples is: yes, it is proportional.

Step-by-step explanation:

From what I can find out from the graph, I would firstly likely want to see if there is a constant between each pound and cost. Meaning, I would want to see if there is a rule that is used throughout the table.

From what I had found out, the rule of this table is:

(x = pounds of apples)

(y = cost of apples)

y = 1.88x

This means that in order to get the 'y' value, also known as the cost of apples, we must multiply 1.88 to the 'x' values, pounds of apples.

This can be found by:

First, dividing 3.76 to 2, your quotient is: 1.88

[tex]\frac{3.76}{2}=1.88[/tex]

Then we need to see if this applies to the other terms as well by multiplying 1.88 to each 'x'

y = 1.88x

y = 1.88(3) = 5.64

y = 1.88(4) = 7.52

y = 1.88(5) = 9.4

You get the same vaule, which means that this is proportional to the table provided.

Answer:

-5/8

Step-by-step explanation:

make them common denominatiers

(1/4)2 = 2/8

-7/8+2/8 = -5/8

Answer:

∠ ABD = 49°, ∠ CBD = 28°

Step-by-step explanation:

∠ ABD + ∠ CBD = ∠ ABC , substitute values

3x + 22 + 5x - 17 = 77 , that is

8x + 5 = 77 ( subtract 5 from both sides )

8x = 72 ( divide both sides by 8 )

x = 9

Thus

∠ ABD = 3x + 22 = 3(9) + 22 = 27 + 22 = 49°

∠ CBD = 5x - 17 = 5(9) - 17 = 45 - 17 = 28°

Answer:

A: True

Step-by-step explanation:

Answer:

z=19/2

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

1 hour = 60 minutes

1200 riders = 60 minutes: divide by sixty to set equal to 1

20 riders = 1 minute

Just divide 1,200 by 60 because there are 60 minutes in 1 hour.

Just think about it this way: If you eat 1 banana a minute, you eat 60 bananas an hour. The amusement park ride goes around once a minute. In one hour it goes around 60 times. Each time it carries the same amount of people.

1,200 divided by 60 is...

20!

The ride can carry 20 riders each ride, and each ride lasts a minute.

d) 135°

x ; y =supplementary =>

=> x + y = 180

x = 3y

replace x

3y + y = 180

4y = 180

y = 180 : 4

y = 45°

x = 3y

x = 3×45°

x = 135°

Good luck !

Answer:

D

Step-by-step explanation:

Supplementary angle: sum equals 180 degrees cannot be a straight line(180 degrees).

Y.3 + X = 180

A.

45/3 = 15

45 + 15 = 60

B.

60/3 = 20

60 + 20 = 80

C.

120/3 = 40

120 + 40 = 160

D.

135/3 = 45

135 + 45 = 180

Answer:

Please see below :)

Step-by-step explanation:

The slope is just what's in front of the x!

So:

1.) slope = -1/4

2.) slope = undefined

3.) slope = -9

4.) slope = 9/2

Hope this helps!

Answer:

1. -1/4

2. undefined

3. zero

4. 6/5

Step-by-step explanation: