Help solve this please.

Answer:

price for one shirt

=

$

7.50

price for one pair of pants

=

$

18.50

Explanation:

Start by letting variables

x

and

y

represent the pieces of clothing from the problem.

Let

x

be the price of one shirt.

Let

y

be the price of one pair of pants.

Equation

1

:

4

x

+

3

y

=

85.50

Equation

2

:

3

x

+

5

y

=

115.00

You can solve for each variable by using elimination or substitution. However, in this case, we will use use elimination. First, we will solve for

y

, the price of each pair of pants.

To isolate for

y

, we must eliminate

x

. We can do this by making the two equations have the same

x

values. First, we find the LCM of

4

and

3

, which is

12

. Next, multiply equation

1

by

3

and equation

2

by

4

so that

4

x

and

3

x

becomes

12

x

in both equations.

Equation

1

:

4

x

+

3

y

=

85.50

3

(

4

x

+

3

y

)

=

3

(

85.50

)

12

x

+

9

y

=

256.50

Equation

2

:

3

x

+

5

y

=

115.00

4

(

3

x

+

5

y

)

=

4

(

115.00

)

12

x

+

20

y

=

460.00

Now that we have two equations with

12

x

, we can subtract equation

2

from equation

1

to solve for

y

.

12

x

+

9

y

=

256.50

12

x

+

20

y

=

460.00

−

11

y

=

−

203.50

y

=

18.50

⇒

price for one pair of pants

Now that we know that a pair of pants is

$

18.50

, we can substitute this value into either equation

1

or

2

to find price for one shirt. In this case, we will choose equation

1

.

4

x

+

3

y

=

85.50

4

x

+

3

(

18.50

)

=

85.50

4

x

+

55.5

=

85.50

4

x

=

28

x

=

7.50

⇒

price for one shirt

∴

, the price for one shirt is

$

7.50

and the price for one pair of pants is

$

18.50

.

Step-by-step explanation:

yea

Answer:

slope: 1.25

Part B: The order in which the points are given does not change the value of the slope

Step-by-step explanation:

Part A. Given two points we can find slope using the slope formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Given the points ( -6, 1/2) and ( -4,3 )

We plug in the y values and x values (starting with the last point give )

[tex]m=\frac{3-.5}{-4-(-6)} \\3-\frac{1}{2} =2.5\\-4-(-6)=2\\\frac{2.5}{2} =1.25\\[/tex]

so we can conclude that the slope of a line that passes through the points ( -6, 1/2) and ( -4,3 ) is 1.25

Part B. The order in which the points are given does not change the value of the slope

Observe -

* flip the order in which the points are given *

given (-4,3) and (-6,1/2)

we use the same formula

*plug in the y and x values starting with the last point*

[tex]m=\frac{.5-3}{-6-(-4)} \\.5 - 3=-2.5\\-6-(-4)=-2\\\frac{-2.5}{-2} =1.25[/tex]

The slope still equals 1.25 meaning that the order in which the points are given does not matter.

Answer:

D. Not congruent

Step-by-step explanation:

Answer:

9/16

Step-by-step explanation:

Multiply across -

3*3 = 9

4*4 = 16

9/16

Answer:

your answer is 40 percent

Step-by-step explanation:

can i get brainly

Answer:

10[tex]x^{2}[/tex]-55xy-30[tex]y^{2}[/tex]

Step-by-step explanation:

Answer:

2x+4 or 4+2x

Step-by-step explanation:

Answer:

9.375Inch

Step-by-step explanation:

First I did 75 divided By 4 to get how many 4 feet the light house is and then got 18.75 ft and then divided that by 2 and got 9.375inches

Answer: D

Step-to-step explanation:

Answer:

C

Step-by-step explanation:

The orange shirts will have 32/6 = 5 with 2 left over

The blue shirts will have 29/6 = 4 with 5 left over

The green shirts will have 34/6 = 5 with 4 left over

The left overs are 2 + 5 + 4 = 11 but I have divided the colors equally. If color does not matter then the total number of shirts = 32 + 29  + 34

The total number of shirts is 95

95/6 = 15 with a remainder of 5

So 5 shirts will be left over.

Answer:

-3y (y^2+ 2y-2)

Step-by-step explanation:

i took the test and got this answer

Answer:

The weight of an object is how heavy the object is

The capacity of a container is the amount the container can hold.

A standard coffee mug has a capacity of 16 fluid ounces. If Annie needs to fill 26 mugs with coffee, how many total quarts of coffee does she need?

Annie needs 13 quarts of coffee. I know this because 1 US quart is 32 US fluid ounces. 16 fluid ounces multiplied by 26 mugs of coffee is 416 and then you convert 416 fluid ounces into 13 quarts.

Convert: 9 T =  18,000 lb

Compare. Write <, > or = Solve.

96 fl oz < 13 c

Compare. Write <, > or = Solve.

25 lb > 384 oz

Compare. Write <, > or = Solve.

8 yd = 288 in.

Convert. 336 oz = 21 lb

Step-by-step explanation:

[tex] \frac{19}{6} \pi \times \frac{360}{75} = \frac{19}{6} \pi \times \frac{24}{5} = \frac{76}{5} \pi[/tex]

[tex] {x}^{2} \times \pi = \frac{76}{5} \pi[/tex]

[tex]x = \frac{2 \sqrt{95} }{5} = 3.9[/tex]

Answer:185 m , 60 m

Step-by-step explanation:

Given

Length is 5 m more than 6 times its width

Suppose width is [tex]x[/tex]

So, length is given by [tex]6x+5[/tex]

The area is given by [tex]l\times b[/tex]

Put values of length and width

[tex]\Rightarrow (6x+5)x=5550\\\Rightarrow 6x^2+5x-5550=0\\[/tex]

On solving the quadratic equation, we get [tex]x=30[/tex]

Length is [tex]6\times 30+5=185\ m[/tex]

Width is [tex]x=30\ m[/tex]

Answer:

1) (3,-6)

left 1 up 4

(2,-2)

reflection over y axis

(-2,-2)

2) (3,-6)

Reflection over y axis

(-3,-6)

x times 3 and y times 3

(-9,-18)

Related diagram is attached below :

Answer:

No

Step-by-step explanation:

The height, h of the tent attached below can be obtained using Pythagoras rule, as the shape forms a right angle triangle.

Length of base , = 24 / 2 = 12 feets

Hypotenus = 15 feets

The height, h = √(hypotenus² - Base²)

h = √15² - 12²

h = √225 -144

h = √81

h = 9 feet

Tent shouldn't be rented as it is below 10 feets

Answer:

x=18

Step-by-step explanation:

3(x-4)=2x+6

3x-12=2x+6

3x-2x=6+12

x=18

Answer:

[tex]3(x - 4) = 2x + 6 \\ 3x - 12 = 2x + 6 \\ 3x - 2x = 6 + 12 \\ x = 18[/tex]

Hope it helps!

Answer:

The Decimal form is: 1.52083 (and the 3 keeps going and going)

Is mixed number it is: 1 25/48.

Step-by-step explanation:

A=a+b

2h=13+10

2×18=207

formula a=a+b/2×18

Answer:

1. y= -2

Step-by-step explanation:

i hope this helps :)

Answer:

option (3)

Step-by-step explanation:

The equation of a vertical line parallel to the y- axis is

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (- 2, - 5 ) and (- 2, - 4) with x- coordinates - 2 , then

x = - 2 ← equation of line

Answer:

could you put the picture?

Add the picture please.

Answer:

Option C is your answer

Step-by-step explanation:

21,22,  23,  26,29,  32,  34,38,  40,  42,43

Yes, Q1 is 23, median is 32, Q3 is 40

So the box should start on 23, end on 40, and have its inner line over 32.

In your picture, that's option C

Answer:its c

Step-by-step explanation:i took the test

Answer: 90%

Step-by-step explanation:

Answer:

What are you trying to solve? That equals 6/8

Step-by-step explanation:

Answer:

21.4

Step-by-step explanation:

We can solve for x using trigonometry

Here are the Trigonometric Ratios

Remember SOH CAH TOA

Sine = Opposite over Hypotenuse (SOH)

Cosine = Adjacent over Hypotenuse

Tangent = Opposite over Adjacent

We are given the measure of ∠T ( 72° )

We are also given the adjacent side length (6.6) ( Adjacent = the side length that is not the hypotenuse nor the opposite side length )

And we need to find the hypotenuse ( longest side length )

We this information we can use the trigonometric ratio Cosine to solve for x

That being said we want to set up an equation

(remember cosine = adjacent over hypotenuse )

[tex]cos(72)=\frac{6.6}{x}[/tex]

Now we solve for x

We can't get rid of the 6.6 itself so we want to multiply each side by x

now we have [tex]xcos(72)=6.6[/tex]

Step 2 divide each side by cos(72)

[tex]\frac{xcos(72)}{cos(72)} =x\\\frac{6.6}{cos(72)} \\x=\frac{6.6}{cos(72)}\\cos(72)=0.3090169944\\\frac{6.6}{0.3090169944} =21.35804865\\[/tex]

We're left with x = 21.35804865

Finally we want to round to the nearest tenth of a foot and we get that x = 21.4

Answer:

B y=1/4x-2

Step-by-step explanation:

in y = mx + b

the b is the y intercept. this is where the line cuts through the y axis. you can see that it is going through the y axis at -2.

now look for your slope. I use rose over run. you can see that the line intersects at (4,-1)

"rise" is how far up or down to your next point."run" is how far left your right your next point is. in this case, the next point is 1 up and 4 to the right of a point. this translates to 1/4. this is a positive slope because your line goes upwards from left to right.

Yes, Triangles ABC and AED are congruent by SSS or SAS.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangles is shown in image.

Now,

Here, In triangles ABC and AED;

⇒ AB = AE = 7

⇒ BC = DE

⇒ AC = AD

⇒ ∠BAC = ∠DAE

Thus, The triangles ABC and AED are congruent by SSS and SAS.

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ2