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ruslelena [56]
3 years ago
13

7b+8<100 how many books can Brian buy without overspending

Mathematics
2 answers:
Semenov [28]3 years ago
6 0

Answer:

Step-by-step explanation:

7b + 8 < 100

subtract 8 from both sides

7b < 92

divide both sides by 7

b < 92/7 ≅ 13.1

Brian can buy at most 13 books.

Kamila [148]3 years ago
4 0

Answer: You have to plug in the numbers.

So first let's plug in 13. 7*13+8=99

Now 15. 7*15+8=113

Now 18. 7*18+8=134

Lastly 20. 7*20+8=148

The answer is 13.

Step-by-step explanation:

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3 years ago
Line j has a slope of − 2. Line d is perpendicular to line j and passes through the point( − 8 , 3 ).  Write the equation for
Zina [86]

Answer:

The equation is: y = 1/2x + 7

Step-by-step explanation:

The slope of j is -2. The slope of a line perpendicular to line j has a negative inverse: 1/2. The point is (-8, 3).

Use the point slope form of the equation:

y - y1 = m(x - x1)

Substitute:

y - 3 = 1/2(x - (-8))

y - 3 = 1/2x + 4

y = 1/2x + 4 + 3

y = 1/2x + 7

Proof:

Solve for f(x) when x = -8.

f(x) = 1/2x + 7

f(-8) = 1/2(-8) + 7

= -8/2 + 7

= -4 + 7

= 3, giving the point (-8, 3)

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3 years ago
Four of a sample of 150 computers will be selected and tested. How many ways are there to make this selection? Type a
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Answer:

20260275

Step-by-step explanation:

the question is same as selecting 4 things from 150 things

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=[150×149×148×147]÷[4×3×2×1]

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How many days are in a month
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Read 2 more answers
Given: △ABC, m∠C=90° m∠ABC=30°, AL ∠ bisector CL=6 ft. Find: LB
vlada-n [284]

For a better understanding of the solution given here please go through the diagram in the file attached.

To solve this question we will make use of the "Triangle Angle Bisector Theorem", which states that, "An angle bisector of an angle of a triangle divides the opposite side in two segments that are proportional to the other two sides of the triangle."

Thus, in our question, we will have:

\frac{LB}{CL}= \frac{AB}{AC}

The above equation can be rearranged as:

LB=CL\times \frac{AB}{AC}=\frac{CL}{(\frac{AC}{AB})}...(Equation 1)

If we have a proper look at the denominator which is \frac{AC}{AB}, we note that in \Delta ABC, \frac{AC}{AB}=Sin(\angle ABC)=Sin(30^\circ)

Thus, (Equation 1) wil give us:

LB=\frac{CL}{Sin(30^\circ)} =\frac{6}{0.5}=12

<u>Therefore, LB= 12 feet</u>

3 0
3 years ago
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