Hello if you're able to answer this question help me and provide work as well, Thank you.

Which equations have the same value of x as 3/5 (30x-15) = 72? Select three options.

AfilCa [17]

I got:
c) 18x-9=72
d) 3(6x-3)=72
e) x=4.5
If you need any explanations for the answers, please tell me!

7 0

3 years ago

Read 2 more answers

Question 26 pleaseee

LuckyWell [14K]

Answer:

The inequality is $55+10x\leq 105$

The greatest length of time Jeremy can rent the jet ski is 5 and Jeremy can rent maximum of 135 minutes.

Step-by-step explanation:

Given: Cost of first hour rent of jet ski is $55

Cost of each additional 15 minutes of jet ski is $10

Jeremy can spend no more than $105

Assuming the number of additional 15-minutes increment be "x"

Jeremy´s total spending would be first hour rental fees and additional charges for each 15-minutes of jet ski.

Lets put up an expression for total spending of Jeremy.

$\$55+ \$ 10\times x$

We also know that Jeremy can not spend more than $105

∴ Putting up the total spending of Jeremy in an inequality.

$\$ 55+\$10x\leq \$ 105$

Now solving the inequality to find the greatest number of time Jeremy can rent the jet ski,

⇒ $\$ 55+\$10x\leq \$105$

Subtracting both side by 55

⇒ $\$ 10x\leq \$50$

Dividing both side by 10

⇒ $x\leq \frac{50}{10}$

∴ $x\leq 5$

Therefore, Jeremy can rent for $60\ minutes + 5\times 15\\= 60\ minutes + 75= 135\ minutes$

Jeremy can rent maximum of 135 minutes.

5 0

3 years ago

the pictograph below shows number of packages of different brand of batteries at a store sold on Fridaywhich statement is best s

Wewaii [24]

I am happy to help... but <span>Please be more specific with your question. </span>

8 0

3 years ago

The length of a photograph is 1 cm less than twice the width. The area is 91cm^2. find the width and length.

maksim [4K]

Answer:

Width=6.5 cm

Length=12 cm

Step-by-step explanation:

Step 1: Express the lengths and widths

Width=w

Length=l, but 1 cm less than twice the width=(2×w)-1=2 w-1

Step 2: Solve for the length and width

A=L×W

where;

A=area of the photograph

L=length of the photograph

W=width of the photograph

In our case;

A=91 cm²

L=2 w-1

W=w

91=(2 w-1)w

2 w²-w=91

2 w²-w-91=0, is a quadratic equation

solve for w

w={-1±√(-1²-4×2×-91)}/(2×2)

w=(-1±27)/4

w=(27-1)/4=6.5, or (-1-27)/4=-8

Take w=6.5 cm

L=(2×6.5)-1=13-1=12 cm

Width=6.5 cm

Length=12 cm

6 0

3 years ago

When we toss a coin, there are two possible outcomes: a head or a tail. Suppose that we toss a coin 100 times. Estimate the appr

marin [14]

Answer:

96.42% probability that the number of tails is between 40 and 60.

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .