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3 years ago

Consider that x = 1.5 and y = 3. Which statement is true about x + y?

Mathematics

2 answers:

Bess [88]3 years ago

8 0

X+y=4.5 or 1.5+3=4.5

Mamont248 [21]3 years ago

3 0

That 1.5 + 3 (x + y) = 4.5.
Hope this helps! XD

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Write an equation in slope-intercept form (y = mx + b).

Wewaii [24]

Answer:

y = 2/7x + 7

Step-by-step explanation:

We start off by putting the original equation into slope-intercept form. Subtract 7x from both sides, then divide both sides by -2. Your new equation should be y = -7/2x - 8. It's important to know that when two lines are perpendicular, their slopes (m) are opposite reciprocals of each other. So -7/2 becomes 2/7. The first part of your final equation is y = 2/7x + b.

Next, we need to find the y intercept (b). You need to plug the x and y values from the given coordinate point (-7,5) into your final equation. You should end up with: 5 = 2/7(-7) + b. Then, solve for b.

5 = -14/7 + b

5 = -2 + b

7 = b

Finally, plug the b value into your final equation and you will have your answer.

4 0

3 years ago

I'm giving brainliest to the most helpful answer. For 50 points:

Alenkinab [10]

Answer:

1) $\displaystyle\frac{5}{18}\approx27.78\%$

2) $\displaystyle\frac{4}{7}\approx57.14\%$

3) $\displaystyle \frac{13}{16}=81.25\%$

Step-by-step explanation:

We are given a two-way frequency table. Using the table, we will determine the probability for each case.

Question 1)

P(A Student With A Part Time Job Without A Car)

Using the first column, the total number of students that have a part time job is 78+30=108.

Likewise, using the first column, we can see that out of those 108 students, 30 do not have a car.

Hence, the probability that a student with a part time job without a car is:

$\displaystyle P=\frac{30}{108}=\frac{5}{18}\approx27.78\%$

Question 2)

P(No Car | Does Not Have A Part Time Job)

Remember that the vertical line means conditional probability.

So, we want the probability of a student having no car given that they do not have a part time job.

Using the second column, we can see that the total number of students that do not have a part time job is 18+24=42.

Likewise, using the second column, 24 do not have a car.

Hence, the probability that a student with a part time job without a car is:

$\displaystyle P=\frac{24}{42}=\frac{4}{7}\approx57.14\%$

Question 3)

P(Part Time Job | Car)

So, we want to probability of a student having a part time job given that they have a car.

Using the first row, the total students that have a car is 78+18=96.

And of those 96 students, 78 have a part time job.

Hence, the probability that a student with a car has a part time job is given by:

$\displaystyle P=\frac{78}{96}=\frac{13}{16}=81.25\%$

4 0

3 years ago

The local theater sells tickets to its plays at a rate of $38 each. Patrons who attend multiple shows are encouraged to buy an a

harina [27]

Answer:

Roger

Step-by-step explanation:

Without Membership

Roger: $228

Grace: $152

With Membership

Roger: $200

Grace: $160

3 0

2 years ago

Malik is standing outside in the sun. Malik is 72 inches tall, and his shadow is 60

anastassius [24]

Jeremy's height is 67.2 inches

The diagram below represents situation

<h3>Proportion</h3>

Proportion says that two ratios (or fractions) are equal. This a mathematical comparison between numbers.

Therefore, let's establish the proportion in this situation

Malik height / Malik shadow = Jeremy height / Jeremy shadow

Therefore,

72 / 60 = x / 56

cross multiply

72 × 56 = 60x

60x = 4032

divide both sides by 60

x = 4032 / 60

x = 67.2

Therefore, Jeremy's height is 67.2 inches

learn more on proportion here: brainly.com/question/26258657

6 0

2 years ago

Solve the right triangle

Reptile [31]

Answer:

x= 7.41 (3 s.f.)

y= 9.53 (3 s.f.)

∠B= 51°

Step-by-step explanation:

Please see the attached picture for the full solution.

5 0

3 years ago