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3 years ago

At a back to school sale, backpacks are marked down 15%. If the original price was $34, what is the sale price?

1 answer:

3 0

There are two ways to do this problem the first: multiply the original price by the percentage marked down ($34x.15=5.10) then subtract 5.10 from 34 and that gives you $28.90. The second way: subtract 15% from 100% (85%) and multiply $34 by .85 which will give you $28.90. :) whichever is easiest :)

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A box can had a maximum of 60 comic books.If comic books are bundled together in groups of 8, write and solve an inequality to f

Reika [66]

Answer: the maximum number of bundles of comic books that the box can carry is 7

Step-by-step explanation:

Let x represent the maximum number of bundles of comic books that the box can carry.

If comic books are bundled together in groups of 8, then the total number of comic books in x bundles of comic books would be 8x.

A box can hold a maximum of 60 comic books. Therefore, the inequality to find the maximum number of bundles of comic books that the box can carry is

8x ≤ 60

x ≤ 60/8

x ≤ 7.5

8 0

3 years ago

Please help me out please

shepuryov [24]

What we have here is called INTERSECTING CHORDS IN A CIRCLE.

The equation is:

10 times x = 7 times 7

10x = 49

x = 49/10

x = 4.9

6 0

3 years ago

Read 2 more answers

(03.06) Given the equation y − 3 = one half (x + 6) in point-slope form, identify the equation of the same line in slope interce

Anvisha [2.4K]

Y-3=(1/2)(x+6). just solve for y
y-3=1/2x +3
y = 1/2x + 6

5 0

3 years ago

Which is the graph of the function f(x) = x3 – x2 – 17x - 15?

LenKa [72]

Answer with Step-by-step explanation:

We are given that a function

$f(x)=x^3-x^2-17x-15$

We have to find the graph of the given function.

y-intercept:It is that value of y where the graph cut the y- axis.

Let

$y=f(x)=x^3-x^2-17x-15$

Substitute x=0

Then, we get

$f(0)=-15$

y-intercept of the graph=-15

x- intercept: It is that value of x where the graph cut the x- axis.

Substitute y=0

$x^3-x^2-17x-15=0$

Substitute x=-1

$-1-1+17-15=0$

Therefore,x=-1 is a solution of given equation.

$(x+1)(x^2-2x-15)=0$

$(x+1)(x^2-5x+3x-15)=0$

$(x+1)(x(x-5)+3(x-5))=0$

$(x+1)(x+3)(x-5)=0$

$\implies x=-1,-3,5$

Hence, the x-intercept are

-3,-1 and 5

7 0

3 years ago

The average life of a certain type of small motor is 10 years with a standard deviation of 2 years. The manufacturer replaces fr

Ivenika [448]

Answer:

She should offer a guarantee of 6.24 years.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 10, \sigma = 2$