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irina [24]
3 years ago
12

Jenny wants to rent a truck for one day. She contacted two companies. Laguana’s Truck Rentals charges $20 plus $2 per mile. Salv

atori’s truck rentals charges $3 per mile. After how many miles will the total cost for both companies be the same?
Mathematics
1 answer:
zlopas [31]3 years ago
3 0

Answer:

The total cost will be the same for both companies after 20 miles.

Step-by-step explanation:

First, I wrote the equations:

Laguna's Truck Rentals: 2x + 20

Salvatori's truck rentals: 3x

To find when the total cost for both companies will be the same, I kept substituting numbers for the variable until it worked. So, the total cost for both companies will be the same after 20 miles. Hope this helped!

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Which of these fractions below are equivalent to 3/4? <br><br>Please? Help​
Sphinxa [80]

Answer:

12/16, 6/8, 15/20, 24/32

Step-by-step explanation:

Because to find the equivalents, you have to multiply/ divide the numerator and the denominator with the same number.

7 0
2 years ago
Sam needs a web designer. Designer A is offering her services for an initial $460 in addition to $100 per hour. Designer B is of
arsen [322]
The designers will Charge the same amount at $700. 500+100*2=700 and 600+50*2=700
7 0
3 years ago
Let a, b, c, and d be non-zero real numbers. If the quadratic equation ax(cx + d) = -b(cx+d) is solved for x, which of the follo
LiRa [457]

Answer:

Option d

Step-by-step explanation:

given that a, b, c, and d be non-zero real numbers.

ax(cx + d) = -b(cx+d) \\acx^2+x(ad+bc)+bd =0

we can factorise this equation by grouping

(acx^2+xad)+)xbc+bd) =0\\ax(cx+d) +b(cx+d) =0\\(ax+b)(cx+d) =0

Equate each factor to 0 to get

x=\frac{-b}{a} , \frac{-d}{c}

Ratio of one solution to another would be

\frac{-b}{a} / \frac{-d}{c} \\=\frac{ad}{bc}

So ratio would be ad/bc

Out of the four options given, option d is equal to this

So option d is right

4 0
3 years ago
A department store has daily mean sales of​ $28,372.72. The standard deviation of sales is​ $2000. On​ Tuesday, the store sold​
DiKsa [7]

Answer:

Tuesday z-score was 3.26.

Tuesday was a significantly good day.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

A score is said to be significantly high if it has a z-score higher than 1.64, that is, it is at least in the 95th percentile.

In this problem, we have that:

\mu = 28372.72, \sigma = 2000

On​ Tuesday, the store sold​ $34,885.21 worth of goods. Find​ Tuesday's ​z-score.

This is Z when X = 34885.21

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

Z = \frac{34885.21 - 28372.72}{2000}

Z = 3.26

Tuesday z-score was 3.26.

Was Tuesday a significantly good​ day?

A z-score of 3.26 has a pvalue of 0.9994. So only 1-0.9994 = 0.0006 = 0.06% of the day are better than Tuesday.

So yes, Tuesday was a significantly good day.

8 0
3 years ago
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