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I need the answers to 5&6 explain how you found the answer and I'll give brainliest

ch4aika [34]

I found the answer to 5, but I couldn't see the rest of worksheet to solve 6 thoroughly.

Both of these problems can be solved through substitution using the variables that you know equal a number.

For example #5: 5(3)(3)-7(3)+4
45-21= 24, and 24+8=28

That is how you solve number 5 and can also solve 6 the same way using the same method.

5 0

3 years ago

3(x + y) = 12

Mila [183]

Answer:

$\large\boxed{B)\ -2}$

Step-by-step explanation:

$\left\{\begin{array}{ccc}3(x+y)=12&(1)\\\\\dfrac{x}{2}=3&(2)\end{array}\right\\\\(2)\ \dfrac{x}{2}=3\qquad\text{multiply both sides by 2}\\\\2\!\!\!\!\diagup^1\cdot\dfrac{x}{2\!\!\!\!\diagup_1}=(2)(3)\\\\x=6\\\\\text{Put it to (1):}\\\\3(6+y)=12\qquad\text{divide both sides by 3}\\\\\dfrac{3\!\!\!\!\diagup^1(6+y)}{3\!\!\!\!\diagup_1}=\dfrac{12}{3}\\\\6+y=4\qquad\text{subtract 6 from both sides}\\\\6-6+y=4-6\\\\y=-2$

4 0

3 years ago

Read 2 more answers

A server makes $200 a week working at a local restaurant. The server saves 35% of the $200 weekly earnings each week for 4 weeks

Lorico [155]

Answer:

He would of saved 455$

Step-by-step explanation:

Because for 4 weeks he saved 35% of 200$ which would be 70 and 70+70+70+70 is 280$ and then he saved 175 dollars on the 5th week because 7/8 of 200 is 175 so 280+175= 455

I hope this helps!

6 0

2 years ago

Mopeds (small motorcycles with an engine capacity below 50 cm^3) are very popular in Europe because of their mobility, ease of o

KonstantinChe [14]

Answer:

a) 0.1038 = 10.38% probability that maximum speed is at most 49 km/h

b) 0.2451 = 24.51% probability that maximum speed is at least 48 km/h

c) 0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean value 46.8 km/h and standard deviation 1.75 km/h.

This means that $\mu = 46.8, \sigma = 1.75$

a. What is the probability that maximum speed is at most 49 km/h?

This is the pvalue of Z when X = 49. So

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

$Z = \frac{49 - 46.8}{1.75}$

$Z = 1.26$

$Z = 1.26$ has a pvalue of 0.8962

1 - 0.8962 = 0.1038

0.1038 = 10.38% probability that maximum speed is at most 49 km/h.

b. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48. So

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

$Z = \frac{48 - 46.8}{1.75}$

$Z = 0.69$

$Z = 0.69$ has a pvalue of 0.7549

1 - 0.7549 = 0.2451

0.2451 = 24.51% probability that maximum speed is at least 48 km/h.

c. What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations?

Zscores between Z = -2.5 and Z = 2.5, which is the pvalue of Z = 2.5 subtracted by the pvalue of Z = -2.5

Z = 2.5 has a pvalue of 0.9938

Z = -2.5 has a pvalue of 0.0062

0.9938 - 0.0062 = 0.9876

0.9876 = 98.76% probability that maximum speed differs from the mean value by at most 2.5 standard deviations

7 0

3 years ago

What is the radius <br> (x + 10)² + (y - 8)2 = 169

d1i1m1o1n [39]

The given equation is an equation of a circle where the number after the equal sing is the radius squared.

To find the radius take the square root.

Radius = SQRT(169)

Radius = 13 units.

6 0

4 years ago