Question 10 of 10
A clothing store sells T-shirts, t, for $8 a shirt, and shorts, s, for $12 each. The
store earned $180 revenue last month. The store sold three times as many T-
shirts as shorts. Using the method of substitution, how many T-shirts and
shorts did the store sell?
A. t= 15; s = 5
B. t = 12; s = 8
c. t = 5; s = 15
D. t = 8; s = 12

Answer:

y=-2/5x-11/5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=-2/5(x-2)

y+3=-2/5x+4/5

y=-2/5x+4/5-3

y=-2/5x+4/5-15/5

y=-2/5x-11/5

Answer:

5 x Square root:2

Step-by-step explanation:

Answer:

70.2

Step-by-step explanation:

The volume of the given figure will be 104.76 mm³. Volume is the product of the area of the length/height.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.

The volume of the given figure is;

Volume=Area×Length

Area=(1/2)×9.7×7.2

Area=34.92 mm²

Volume=Area×Length

Volume=34.92×3

Volume=104.76 mm³

Hence,the volume of the given figure will be 104.76 mm³.

To learn more about the volume, refer to the link;

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Answer:

sin X=30 degree

cos X=30 degree

tan X=30 degree

cot X=30 degree

sec X=30 degree

Step-by-step explanation:

Step-by-step explanation:

I feel there is important information lost in the way you provided the problem statement.

e.g. "... also equal to ?"

equal to what ?

sin x = what ?

so, I can only guess some things.

answer C is definitely correct for any angle up to 180 degrees.

answer A is only correct for an angle of 45 or 225 degrees, where sin(x) and cos(x) are both 1/sqrt(2) or both -1/sqrt(2).

answer B is always wrong (459 degrees is no special number, this is a full circle of 360 degrees and then additional 99 degrees there is no special relationship between sine and cosine for 99 degrees, so sine and cosine cannot have the same value for any x).

answer D is always wrong, as there is always a 30 degree difference between the arguments for sine and cosine, and that can never lead to an equal value.

answer E is also always wrong, as these 45 degrees difference also block equal values.

Given:

Two figures.

To find:

The area of the shaded regions for both figures.

Solution:

In first figure, the shaded area is a triangle with base 15 units and height 12 units. So, the area of the shaded region is equal to area of the triangle.

[tex]A=\dfrac{1}{2}\times base\times height[/tex]

[tex]A=\dfrac{1}{2}\times 15\times 12[/tex]

[tex]A=\dfrac{180}{2}[/tex]

[tex]A=90[/tex]

Therefore, the area of the shaded region is 90 square units.

In the seconds figure, we need to subtract the area of square from the area of triangle, to get the area of the shaded region.

Area of triangle with base 15 and height 18 is:

[tex]A_1=\dfrac{1}{2}\times 15\times 18[/tex]

[tex]A_1=\dfrac{270}{2}[/tex]

[tex]A_1=135[/tex]

Area of the square with sides 6.

[tex]A_2=(side)^2[/tex]

[tex]A_2=(6)^2[/tex]

[tex]A_2=36[/tex]

Now, the area of the shaded region is:

[tex]A=A_1-A_2[/tex]

[tex]A=135-36[/tex]

[tex]A=99[/tex]

Therefore, the area of the shaded region is 99 square units.

Answer:

The shortest segment from the point to the line is perpendicular to the line.

Step-by-step explanation:

See the attached image.  The blue segments go from the point to the line, but they are longer than the shortest such segment (red).

Answer:

y-step explanation:

Answer:

y = - 15.57x² + 179.32x + 0.20

510

Step-by-step explanation:

The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :

y = - 15.57x² + 179.32x + 0.20

Where, height = y

x = time

Using the model obtained ; the height, to the nearest foot, at a time, x = 6.4 seconds.

y = - 15.57x² + 179.32x + 0.20

y = - 15.57(6.4^2) + 179.32(6.4) + 0.20

y = 510.1008

y = 510

The quadratic model obtained using a quadratic regression solver with Coefficient rounded to the nearest hundredth is :

height = y

x = time

                          Using the model obtained;

The height, to the nearest foot, at a time, x = 6.4 seconds.

Thus, the correct answer is 510.

Know more :

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Answer:

Step-by-step explanation:

The missing diagram showing the trapezoids is attached in the diagram below.

There are three stages by which trapezoid A must be transformed into trapezoid B.

We can see three fundamental differences as follows:

As a result, we will perform the following transformations: 

Answer:

153:20

Step-by-step explanation:

765000/100000

=153/20

Answer:

z = 100*x₁  + 150*x₂  +  210*x₃

Step-by-step explanation:

Lyric a looks like there is a typing error in the first term ( 100.11 ) .

the right is 100*x₁

Answer:

y=x+3

Step-by-step explanation:

when you connect all the dots it makes a straight linear line. then you can use the format y=mx+b

y is the y value

m is the slope (change in y divided by change in x or, rise over run)

x is the x value

b is the y intercept (the y value where the line will touch the y axis/vertical line)

to make the equation

y=mx+b

y and x are variables so you dont need to write them

the slope is rise/run just pick two points such as the first point (0,3) and the second point (1,4)

between these points it changes one unit to the right (1) and one unit up vertically meaning 1/1

=1

when the slope is 1 you get

y=1x+b which is just y=x+b

then the y intercept

the first dot is touching the y axis line and it's y value is 3

y=x+3

hope this helps

Answer:

B  160 ft^2

Step-by-step explanation:

Right away you can eliminate A and C as area in square feet suppose to be. A=bh A= 20 x 8=160 ft^2

Answer:

m∡x = 95°

m∡y = 147°

m∡z = 128°

Step-by-step explanation:

m∡z = 180-52 = 128

measure of third angle in left triangle = 180-(45+50) = 85°

m∡x = 180-85 = 95°

measure of top angle in right triangle = 180-(95+52) = 33°

m∡y = 180-33 = 147°

Answer:

5x+5y

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

≈314.16

Step-by-step explanation:

πr^2h /3 you use this formula and put in the values for r and h as 5 and 12 respectively and solve.

Hope this Helps!

You are not asking for a probability but just the number of different outcomes of differences. The range is 1 to 6 for each dice throw. The range of the differences are 0–5. Therefore, there are 6 different outcomes……0,1,2,3,4,5

Answer:

The answer is 32x+67

Step-by-step explanation:

Answer:

Third Grade!

Step-by-step explanation:

Hope you have a good day <3

Answer:

it's third grade:)

Step-by-step explanation:

just follow the line from 150 and when you see the grade level that meets it exactly there's your answer!

Answer:

80÷(4÷16) = 20

Step-by-step explanation:

4÷6=4

4x4=16

80÷4=20

4x20=80

9514 1404 393

Answer:

Step-by-step explanation:

Let s represent the FCI for soccer. The given values tell us ...

  s + (s +7.47) = 108.09

  2s = 100.62 . . . . . . . . . . subtract 7.47

  s = 50.31

  s+7.47 = 57.78

The FCI for soccer was $50.31; the FCI for hockey was $57.78.

Answer:

420 km

Step-by-step explanation:

75 times 5 = 375

75/10 = 7.5 times 6 = 45

375 + 45 = 420