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riadik2000 [5.3K]
2 years ago
12

1.A sign-making store made a banner from a photograph. The photograph was 8 x 10 inches, and the banner was 12 x 15 feet. What s

cale factor did the sign-making store use? (JUSTIFY)
2. A fish tank is 16 inches long, 13 inches wide, and 11 inches high. Find its volume in cubic inches. (JUSTIFY)

please answer both questions. i will give brainliest
Mathematics
1 answer:
jok3333 [9.3K]2 years ago
6 0

1. 12 feet = 144 inches

15 feet = 180 inches

144 inches / 8 inches = 18

180 inches / 10 inches = 18

The scale factor was 18.

2. Volume = Length x Width X height:

Volume = 16 x 13 x 11 = 2,288 cubic inches.

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Javier writes an integer on a piece of paper. The absolute value of his number is less than 4. Which is true of the possible val
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<span>The possible values are less than 4 but greater than –4.</span>
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2 years ago
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Billy Jo's school is selling tickets to a Fall Festival. On the first day of ticket sales the school sold 3 adult ticket and 8 s
denis23 [38]

Answer:

Y = 6

Step-by-step explanation:

On the first day of ticket sales the school <em><u>sold 3 </u></em>adult ticket and <em><u>8 student </u></em>tickets for a <em><u>total of $72</u></em>. The school took in <em><u>$152</u></em> on the second day by selling<em><u> 7 adult tickets and 16 student tickets.</u></em> How much is a student ticket?  

Day 1: 3x + 7y = 72

Day 2: 7x + 16y = 152

This becomes a system of equations.

3x+8y=72

3x+8y+−8y=72+−8y (Add -8y to both sides)

3x=−8y+72

3x/3 =  −(8y+72)/3

X = (-8/3) y + 24

Substitute  (-8/3) y + 24 for x in7x+16y=152:

7(-8/3 y + 24) + 16y = 152

-8/3 y + 168 = 152 (Simplify both sides of the equation)

-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)

-8/3 y = -16

(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)

<u><em>y = 6</em></u>

<em>If you wanted to keep going...</em>

Substitute 6f or y in x = (-8/3) y + 24

(-8/3) y + 24  =  (-8/3) (6) + 24

SImplify: x = 8

<em>X = 8 and </em><u><em>Y = 6</em></u>

<u><em></em></u>

Hope this helps! <em>♥</em>

<u><em>~A.W.E.</em></u><em>S.W.A.N~</em>

6 0
2 years ago
Tyler is bored in history class, so he is staring at the ceiling tiles. He notices that some tiles are perfect squares, while ot
finlep [7]

Answer:

The complete tables are shown below.

The value of <em>x</em> is 70.59%.

Step-by-step explanation:

<u>Absolute frequency table:</u>

         Square   Rectangle Row Total

Bright            25         10              35

Off White    <u>23</u>         10              <u>33</u>

Column Total    <u>48</u>         20              <u>68</u>

<u>Relative frequency table</u>

                                   Square Rectangle Row total

                 Row%      71.43%  28.57%          100.00%

Bright Column%     52.08%  50.00%             ____

                 Total%      36.76%    14.71%            51.47%

                   Row%      69.70%  30.30%          100.00%

Off White  Column%   47.92%  50.00%              ___

                   Total%      33.83%    14.71%           48.53%

                   Row%          ____                  ____            100.00%

Column  Column%       100.00%           100.00%  100.00%

                  Total%       <u><em>x</em></u><u>  = 70.59%</u>     29.41%  100.00%

\text{Value of}\ x=100.00\%-29.41\%=70.59\%

8 0
2 years ago
2. Santiago wants the lateral surfaces of the
MakcuM [25]

Answer:

262 square feet  of the ramp will be painted red.

Step-by-step explanation:

The lateral surface is surface area of the sides of the ramp without including the top and bottom faces

The ramp shown has three surfaces

The 2 sides are triangles with length 20 and height 8.5

The back is a rectangle shape with length 12 and height 8.5

Step 1: Finding the  Area of triangle

The area of the triangle  = \frac{1}{2} length \times height

The area of the triangle  = \frac{1}{2} (20 \times 8.5)

The area of the triangle  = \frac{170}{2}    

The area of the triangle = 85 square feet

Area of 2 triangles = 85 \times 2  =  170

Step 2: Finding the  Area of Rectangle

Area of rectangle = length  \times height

so,

Area of back rectangle = 12  \times 8.5 = 102  square feet

Step 3: Finding the total lateral surface area

Total Lateral Surface Area

= Area of triangle + Area of Rectangle

= 272 square feet

8 0
1 year ago
Dustin is standing at the edge of a vertical cliff, 40 meters high, which overlooks a clear lake. He spots a fluffy white cloud
Licemer1 [7]

Answer:

53.33 meters

Step-by-step explanation:

Let AB represents the height of the cliff,

( where, A is top and B is bottom ),

Also, C and D represents the shadow of the cloud and cloud in the sky respectively,

Suppose E is a point in the segment CD,

Such that,

AB = DE = 40 meters,

According to the question,

m\angle CAE = 30^{\circ}

m\angle EAD = 60^{\circ}

Since,

\tan =\frac{\text{Perpendicular}}{\text{Base}}

\implies \tan 60^{\circ}=\frac{DE}{AE}

\sqrt{3}=\frac{40}{AE}

\implies AE = \frac{40}{\sqrt{3}}

Now,

\tan 30^{\circ}=\frac{CE}{AE}

\frac{1}{\sqrt{3}}=\frac{\sqrt{3}CE}{40}

\implies CE = \frac{40}{3}

Hence,

The height of the cloud above the lake = CE + ED

=\frac{40}{3}+40=13.33+40 = 53.33\text{ meters}

3 0
2 years ago
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