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3 years ago

Evaluate −x+| y | when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.

Mathematics

1 answer:

Mama L [17]3 years ago

5 0

Answer: = $\frac{17}{12}\quad \left(\mathrm{Decimal:\quad }\:1.41666\dots \right)$

Step-by-step explanation:

$-\frac{1}{3}+\left|-\frac{7}{4}\right|$

$=-\frac{1}{3}+\frac{7}{4}$

$=\frac{17}{12}$

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Olivia is considering two phone plans. Plan A charges $20 per month, plus $0.05 per minute. Plan B charges $15 per month plus $0

amid [387]

Step-by-step explanation: Answer is 10

For this type of problem, we need to create a slope intercept equation for both.

Let's start by making one for plan a. We know that there is 20 dollars per month, this is the y intercept. Now, although it says per month which can change by x, the problem is mainly asking for minutes.

Remember, a slope intercept equation is

y=mx+b

M is the slope, and x is multiplied to the slope. The slope for an example can be used for this, adam eats 5 apples per day or x, how many apples can he eat in 5 days? We are wanting to know how many he can eat in 5 days, so we of course would multiply 5 by 5. This is basically a slope equation.

So, for plan a, we have y=0.05x+20 where x is minutes

For plan b, we should get

y=0.10x+15 where x is also minutes. The problem is asking use to find which value that we plug in will make both plan a and b correct. Basically, the value we find is x, so we solve for x by setting the two equations equal.

0.05x+20=.10x+15 Use inverse operations

20=.05x+15

5=.05x

x=10

We know if we plug in 10 for x, both would equal the same or 21 dollars.

4 0

3 years ago

The dash triangle is the image of the solid triangle. The center of dilation is (-4, -4).

liraira [26]

Answer:

The scale factor of dilation is -3

Step-by-step explanation:

* Lets revise the meaning of dilation

- A dilation is a transformation that produces an image that is the same

shape as the original, but is a different size

- A dilation stretches or shrinks the original figure by a scale factor and

center of dilation

- If the scale factor between 0 and 1, then the original figure shrinks

- If the scale factor greater than 1, then the original figure stretches

- If the scale factor is negative then the original figure is stretches or

shrinks and rotate 180°

* Lets solve the problem

∵ The vertices of the original triangles are

(-4 , -4) , (-4 , -7) , (-6 , -4)

∵ The vertices of the image triangles are

(-4 , -4) , (-4 , 5) , (2 , -4)

∵ The length of one side of the original triangle is (-7) - (-4) = 3 units

∵ The length of the corresponding side in the image triangle is

(5) - (-4) = 9 units

∵ The image is in the opposite side of the center of dilation

- That means the original triangle rotate 180° around the center

of dilation

∴ The scale factor is negative

∵ The ratio between the corresponding sides are 9/3 = 3

∴ The scale factor of dilation is -3

3 0

3 years ago

Isaiah portioned 4 1/4 ounces of chicken. Assume 1 ounce = 28.35 grams. What is the best estimate of grams of chicken Isaiah por

MrMuchimi

Because we're estimating, we will round up 28.35 to the nearest tens value.

Look at the ones value:

28.35
8 > 5

8 is greater than 5, so we will round up 28.35 to 30.

There are 4 1/4 ounces of chicken. 4 1/4 in decimal form is 4.25. We will round this number to the nearest ones value. Look at the tenths value:

4.25
2 < 5

2 is lesser than 5, so we will round down 4.25 to 4.

There are now 4 ounces of chicken, and an ounce is equal to 30 grams. Multiply the ounces of chicken by how many grams are in an ounce:

$4 \times 30 = 120$

The best estimate of grams of chicken that Isaiah portioned is 120 grams.

8 0

3 years ago

Please I need helpppp

timofeeve [1]

8x + 3y = 45 * -2 Negative
2x + 3y = 27 * 8 Positive

-16x - 6y = 90
16x + 24y = 216

24y is equal to 216
y is equal to 216/or 24
y is equal to 9

Which means:
8 + 3y = 216
y = 216/24
y = 9

8x + 3y = 45
8x + 3 (Which is 9) = 45

So the Answer is:
8x=45 - 27
8x= 18
X=18/8
X= 2.25

Hope this helps you
(Good Luck)

5 0

3 years ago

NeedHelp... What is the x-value for the equation? 5x+17=24 X=?

BartSMP [9]

Answer:

x=7/5 or 1.4

Step-by-step explanation:

5x+17=24

you would subtract 17 from both sides.

5x=7

Then you would divide 5 from both sides

x=7/5 or 1.4

4 0

3 years ago

Read 2 more answers