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3 years ago

Solve. 5) Solve 2y + 12 < 42. Show your work.

Mathematics

2 answers:

OLEGan [10]3 years ago

4 0

The answer is y < 15

Assoli18 [71]3 years ago

4 0

Answer:

y<15

Step-by-step explanation:

Subtract 12 from both sides.

2y+12−12<42−12

2y<30

Step 2: Divide both sides by 2.

y<15

Answer:

y<15

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The playground at a park is shaped like a trapezoid the dimensions what is the area of the playground in square feet

Maru [420]

Answer:

$Area = 1560ft^2$

Step-by-step explanation:

Given

See attachment for playground

Required

Determine the area

The playground is a trapezoid. So;

$Area = \frac{1}{2}(Sum\ parallel\ sides) * Height$

From the attachment, the parallel sides are: 68ft and 36ft

The height is: 30ft

So, the area is:

$Area = \frac{1}{2}(68ft + 36ft) * 30ft$

$Area = \frac{1}{2}(104ft) * 30ft$

$Area = 52ft * 30ft$

$Area = 1560ft^2$

5 0

3 years ago

Solving 8 problems per minute, Fast Finn can finish his test in time. He was however, working faster, solving 10 problems per mi

mrs_skeptik [129]

Answer:

Number of problems = 240

Step-by-step explanation:

Let x be the number of questions and t be the time.

Given:

Average rate = 8 problems per minute

Fast Finn rate = 10 problems per minute

Fast Finn taken time = t - 6

We need to find the number of problems on the test paper.

Solution:

Average rate to solve test paper.

$Average\ rate =\frac{Number\ of\ questions}{time}$

$8 =\frac{x}{t}$

$t =\frac{x}{8}$ --------------(1)

Fast Finn rate to solve the test paper.

$Average\ rate =\frac{Number\ of\ questions}{time}$

$10 =\frac{x}{t-6}$

Using cross multiplication rule.

$x=10(t-6)$

$x=10t-60$

substitute $t =\frac{x}{8}$ from equation 1.

$x=10(\frac{x}{8}) -60$

Rearrange the equation as:

$x - \frac{5}{4}x = -60$

$\frac{4x-5x}{4}=-60$

$-\frac{x}{4} = -60$

Using cross multiplication rule.

$x = 60\times 4$

x = 240 problems.

Therefore, 240 problems were on the test.

4 0

3 years ago

Simplify the following expression<br>6a^4c+8ac^2-4a^4c-15-10ac^2

aleksandr82 [10.1K]

Answer:

2a^4c-2ac^2-15

Step-by-step explanation:

Sorry, I not sure if this is right or not cause I don't know if the exponent for -4a^4c is that or -4a^4c-15, but I'm just going to go with -4a^4c. However aside from that you just combine like terms.

7 0

3 years ago

Read 2 more answers

How to dilate the figure by the scale factory?<br>

Artyom0805 [142]

Answer:

Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2.

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3 years ago

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ycow [4]

point-slope equation - y+3= -3/5( x+5)

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3 years ago