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satela [25.4K]
3 years ago
7

At 12 noon, leslie recorded the temperature as 56 degrees f. The temperature had increased by 8 degrees f from 10am. The tempera

ture at 8am was 2 degrees f warmer than it was at 10am. What was the temperature @ 8am. Please explain step by step. Thanks
...?
Mathematics
2 answers:
Marat540 [252]3 years ago
4 0
Let the temperature at 10am be x, then
x + 8 = 56
x = 56 - 8 = 48 degrees F

Let y be the temperature at 8am, then
y - 2 = 48
y = 48 + 2 = 50 degrees.
musickatia [10]3 years ago
3 0
Ok so start with your 12:00 temperature: 56° F. You know that the 10:00 temp. was 8 degrees less than 56so:56°-8°=48°your 10:00 temp.=48°Now you know that the 8:00 temp was 2° warmer than your 10:00 temp. which was 48°simply: 48+2=50°your 8:00 temp. was 50°
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The relationship between the points is an illustration of similar shapes.

The length of AB is 0.43

The given parameters are:

\mathbf{BE = 1.8}

\mathbf{CD = 9}

\mathbf{BC = 1.7}

From the question (see attachment), we have the following observations:

  • BE corresponds to CD
  • AB corresponds to AC

So, the equivalent ratio is:

\mathbf{AB:BE =AC:CD }

Substitute known values

\mathbf{AB:1.8 =AC:9 }

Express as fractions

\mathbf{\frac{AB}{1.8} =\frac{AC}{9} }

Multiply both sides by 1.8

\mathbf{AB =\frac{AC}{5} }

<em>AC = AB + BC</em>

So, we have:

\mathbf{AB =\frac{AB  + BC}{5} }

Substitute 1.7 for BC

\mathbf{AB =\frac{AB  + 1.7}{5} }

Multiply through by 5

\mathbf{5AB =AB  + 1.7}

Collect like terms

\mathbf{5AB -AB  =1.7}

\mathbf{4AB  =1.7}

Divide both sides by 4

\mathbf{AB=0.425}

Approximate

\mathbf{AB=0.43}

Hence, the length of AB is 0.43

Read more about similar shapes at:

brainly.com/question/20536565

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1. Solve the given equation for y.

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The slope is 1/5. See it?

The equation we are looking for has a slope which is the negative inverse of the slope in the equation we just solved for y.

The slope for the equation we want is -5 which is the negative inverse of 1/5. Undetstand?

We have the slope of the new equation and one point is given.

Plot BOTH into the point-slope formula and solve for y. To solve for a variable means to isolate the variable ALONE on one side of the equation.

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