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3 years ago

PLEASE HELP ITS OK YTO ONLY ANSWER 1 QUESTION!!!!!!!!!!!!!!!

Mathematics

1 answer:

siniylev [52]3 years ago

4 0

1. Is 1/3 change direction the sign of the inequality. Subtract 8 from both sides you get -3x< -1. Divide by -3 and flip the sign. Since your dividing by a negative that flips the sign. * the inequality still has the “equal to” even when you flip the sign.

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11) Write the explicit formula

Illusion [34]

Answer:

365

Step-by-step explanation:

tn = t1 + (n - 1)(d)

t(47) = -3 + (47 - 1)(8)

t(47) = -3 + (46)(8)

t(47) = -3 + 368

t(47) = 365

6 0

2 years ago

James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have bud

ddd [48]

Answer: See Below

Step-by-step explanation:

Create the equation:

$34 times the number of people plus the $50 cleaning fee has to be less than or equal to $3500

34p + 50 <= 3500

34p <= 3450

p <= 101.470588....

We can have a part of a person attending the reception so we have to drop the remainder/decimal. Therefore the most amount of people that can attend the party and stay within budget is 101.

7 0

3 years ago

The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?

Anit [1.1K]

For proportionality constant problems, set up the equation as,

$x=Ky$ ,

Where x and y are the two variables you are comparing and K is the proportionality constant. If we take Caramel Corn values as x and Cheddar Corn values as y, and then solve for K for each ratio lines, we will get the same answer. Let's check.

$15=K(10)\\K=\frac{15}{10}= \frac{3}{2}$ ,

$30=K(20)\\K=\frac{30}{20}= \frac{3}{2}$ , and

$45=K(30)\\K=\frac{45}{30}= \frac{3}{2}$ .

Hence, the proportionality constant, in this case K, is equal to $\frac{3}{2}$ or 1.5. First answer choice is correct.

ANSWER: 1.5

4 0

3 years ago

Read 2 more answers

The radius of a cylinder is doubled and its height is halved. Find the ratios of their surface areas.

Inessa [10]

Answer: 1:1

Step-by-step explanation:

Let r be the radius and h be the height of a cylinder.

Formula: Curved surface area of cylinder = $2\pi rh$

Now, if radius of a cylinder is doubled and its height is halved, then new radius will be R= 2r and new height will be $H=\dfrac{1}{2}$

Now, new surface area = $2\pi RH= 2\pi(2r)\dfrac{h}{2}= 2\pi rh$

Ratio of curved surface areas : $\dfrac{\text{Surface area}}{\text{New surface area}}=\dfrac{2\pi rh}{2\pi rh}=\dfrac{1}{1}$

Hence, the ratios of their surface areas = 1:1 .

5 0

3 years ago

Sociology graduates, upon entering the workforce are normally distributed and earn a mean salary of $30,000 with a standard devi

GrogVix [38]

Answer:

0.62% probability that randomly chosen salary exceeds $40,000

Step-by-step explanation:

Problems of normally distributed distributions 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 question:

$\mu = 30000, \sigma = 4000$