Answer:
<em>90 calories in total</em>
Step-by-step explanation:
<em>We can solve this equation through the following steps:</em>
<em>Step One: Since we are told that a banana is 20 less calories than an orange, we can create the Let Statements:</em>
<em>Let x= the calories in a banana</em>
<em>Let x-20=the calories in an orange</em>
<em>Step Two: Create an equation</em>
<em>Since we are told "7 bananas have the same calories as 9 oranges" we translate"</em>
<em>7x=9(x-20) Distribute</em>
<em>7x=9x-180 Subtract 9x from both sides of the equation</em>
<em>7x-9x=-180 Simplify</em>
<em>-2x=180 Divide both sides by -2</em>
<em>x=90</em>
<em>∴There are 90 calories in a banana. </em>
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D. y = 1/5x - 1
Plug in 5 for x and 0 for y, and solve for b in the equation y=mx+b
Answer:
z = 30.45 feet
Step-by-step explanation:
The volume (V) of a triangular prism is calculated as
V = area of triangular end (A) × length
Here V = 913.5 and length = 15, thus
A × 15 = 913.5 ( divide both sides by 15 )
A = 60.9 ft²
The area of the triangle =
bh ( b is the base and h the height ), thus
× 4 × z = 60.9
2z = 60.9 ( divide both sides by 2 )
z = 30.45
Given the comopound inequality:

Let's graph the compound inequality.
Here x is greater than -1 but less than or equal to 7.
To graph the inequality, we have:
[tex]-1Since x is greater than -1, plot an open dot on the point -1.
Also, x is less than or greater than 7, plot a closed dot on the point 7.
Then draw a straight line connecting both points.
Hence, we have the graph below: