A truck that can carry no more than 7600 lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300 lb and each piano weighs 525 lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 13 refrigerators and 7 pianos overload the​ truck? Explain.

Answer:

2) x = -4; y = 0; z = -2

4) x = 4; y = 2; z = 0

Step-by-step explanation:

2)

-4x - 5y - z = 18

-2x - 5y - 2z = 12

-2x + 5y + 2z = 4

Add the 2nd and 3rd equations to eliminate y and z.

-4x = 16

x = -4

Substitute x = -4 in first and second equations.

(-4)(-4) - 5y - z = 18

(-2)(-4) - 5y - 2z = 12

-5y - z = 2

-5y - 2z = 4

Multiply first equation by -1 and add to second equation.

       5y + z = -2

(+)   -5y - 2z = 4

----------------------

               -z = 2

z = -2

Substitute x = -4 and z = -2 in first original equation and solve for y.

-4(-4) - 5y - (-2) = 18

16 - 5y + 2 = 18

-5y = 0

y = 0

Answer: x = -4; y = 0; z = -2

4)

4x + 4y + z = 24

2x - 4y + z = 0

5x - 4y - 5z = 12

Add equations 1 and 3 to eliminate y.

9x - 4z = 36    Eq. 1

Add equations 1 and 2 to eliminate y.

6x + 2z = 24    Eq. 2

Multiply Eq. 2 by 2 and add to Eq. 1.

       12x + 4z = 48

(+)      9x - 4z = 36

----------------------------

        21x       = 84

x = 4

Substitute x = 4 into Eq. 1 to solve for z.

9x - 4z = 36

9(4) - 4z = 36

-4z = 0

z = 0

Substitute x = 4 and z = 0 into the first original equation to solve for y.

4x + 4y + z = 24

4(4) + 4y + 0 = 24

4y = 8

y = 2

Answer: x = 4; y = 2; z = 0

We can't get the answer if there's no problem?

Answer:

8 and 1/2 pints

Step-by-step explanation:

4.25 cups/ 1 × 2 pints/ 1 cups

= 4.25 × 2 pints

= 8.5 pints

8 and 1/2 pints

Answer:

The solution set is {4, -1}

Step-by-step explanation:

6x²- 18x -18 = 6

6x²- 18x -18 - 6 = 0

6x²- 18x -24 = 0

6(x² - 3x - 4) = 0

6(x - 4)(x + 1) = 0

6 = 0 not true

x - 4 = 0 ;   x + 1 = 0

x = 4           x = - 1

The solution set is {4, -1}

Answer:

30.55 <_ a < 30.55

Step-by-step explanation:

a = 1/2 × b × h

a = 1/2 × 13 × 4.7

a = 30.55 cm^2

30.55 <_ a < 30.55

Step-by-step explanation:

(a) 0. no displacement.

(b) rectangle perimeter :

2×length + 2×width = 2×2 + 2×0.5 = 4 + 1 = 5 m

Answer:

32.5

Step-by-step explanation:

10 ounces is in 4 pizzas so if we want 15 pizzas we need to count up

4 can not fit into 15 so we have to stop at 12 pizzas.

Now we need to add 3 pizzas

:Note: that one pizza is 2.5 of an ounce  out of 10 ounces

so after you add the 3 pizzas you have 15 but that wasnt 4 pizzas so you have 2.5 ounces left over you add those ounces to the 30 you got from the 12 ounces which you have 30 and add it to the ounces left over

2.5 + 30 = 32.5

Answer:

d

took the test

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

khan academy

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

When surrounded by smaller circles, a center circle will appear larger than if surrounded by larger circles.

Perception is the collection of processes in the brain that interpret information from the senses as objects, events, written and spoken words, and so on.

Not only sensory impressions are perceived; for example thoughts and feelings are perceived too.

Learn more about perception in https://brainly.com/question/7337201

Answer:

Step-by-step explanation:

Brainly.com

Question

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm. A regular pentagon has an apothem with a length of 3 centimeters and a perimeter of 21.8 centimeters. What is the area of the pentagon, rounded to the nearest tenth? 13.8 cm2 17.3 cm2 32.7 cm2 69.0 cm2

Answer · 10 votes

Answer:32.7cmStep-by-step explanation:just took the

Answer:

o=6

1=18

2=54

3=162

Step-by-step explanation:

[tex]f(x) = 6(3)^{x} [/tex]

[tex]f(x)=6(3)^{0}=6 \\ f(x)=6(3)^{1}= 18 \\ f(x)=6(3)^{2}=54 \\ f(x)= 6(3)^{3}=162[/tex]

Answer:

16.95

Step-by-step explanation:

because when you add 14.95 and 2 together you get 16.95

Answer:

Step-by-step explanation:

Area of  Big circle = πr² = 3.14 * 6.5*6.5  = 132.67 cm²

Area of small circle = 3.14 * 2.3*2.3 = 16.61 cm²

Area of shaded region = area of big circle - area of small circle

         = 132.67 - 16.61  = 116.06 cm²

Answer:

a) 3

Step-by-step explanation:

that's the correct answer

Step-by-step explanation:

no cause 3/2 can't be changed

Answer:

-2

Step-by-step explanation:

slope = y2 - y1  / x2 - x1

= 9 - (-3)  /   -2 -4

= 12 / -6

= -2

Answer:

3x-8

Step-by-step explanation:

math

Answer:

y=3x-8

Step-by-step explanation:

The slope of this is the rise over the run. Using the points, we can do (10-4)/(6-4) to get the slope. After solving this, we get 3 as the slope! Slope intercept form is in y=mx+b where m is the slope and b is the y-intercept.

So, y=3x+b

We can insert any of those coordinates into this equation and solve for b to get the y-intercept. If we insert (4,4), then we get 4=3(4)+b

: 4=12+b

:-8=b

Now that we have -8 as the y-intercept, we can insert that as b to get y=3x-8 as the equation in slope intercept form.

Answer:

20

Step-by-step explanation:

uvuctxtxyvuvigh ufydigifyds6dgbjj

Pauline needs to work for 75 hours to make $600

Given that Pauline worked 35 hours and made $280, this can be written as:

35 hours = $280

If Pauline’s company makes $600 a week, this can be expressed as:

x = $600

35/x = 280/600

35/x = 28/60

28x = 35 * 60

28x = 2100

x = 2100/28

x = 75

This means that Pauline needs to work for 75 hours to make $600

Learn more here: https://brainly.com/question/3796978

Answer:

Step-by-step explanation:

Here is ur answer

- BRAINLIEST ANSWERER

Answer:

Step 2 you should subtract 5 (aka D)

Step-by-step explanation:

Simple, its 2+ step equations.

Step 1 Look at the problem

Step 2 Subtract the second normal number by the rest (5- -12 and 19)

Step 3 answer

Answer:

No graphs????????????

Step-by-step explanation:

Answer:

The answer for this particular question is (5,-8)

Confidence intervals and hypothesis testing share the characteristic that they are both inferential techniques

Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

What is confidence interval?

Data from a sample is used to estimate a population parameter using confidence intervals. Data from a sample is used in hypothesis testing to examine a given hypothesis. It is possible that occasionally, when the hypothesis produces a non-significant result, the confidence interval will exclude the value specified under the null hypothesis because the standard error used to calculate the confidence interval is different from the standard error used in hypothesis testing.

We use the standard error of the mean to show the degree of uncertainty surrounding the estimation of the mean measurement. Most helpful for calculating a confidence interval is the standard error.

Hence , Confidence intervals and hypothesis tests are similar in that they are both inferential methods that rely on an approximated sampling distribution.

To learn more about Confidence intervals and hypothesis tests click :

https://brainly.com/question/19755291

#SPJ2

Hello! :)

I will start by explaining what the l l notation means.

It means "absolute value" or a number's distance from zero.

Absolute value is always positive. Remember this:

lal=a

l-al=a

Now, using this, let's solve our math problem.

l-2.9l>2.6

2.9>2.6

Is this statement true? Is 2.9 greater than 2.6? Yes, it is. Therefore, the statement is true.

Hope it helps.

Feel free to ask me if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex]

Answer:

True

Step-by-step explanation:

The absolute value of -2.9 is 2.9.

So 2.9>2.6

Remember, the absolute value of a number is always nonnegative (positive or zero). If a number is negative, negating that number will make it positive.

Answer:

The answer is 6:20, 12:40 and 18:60

Answer

15:50

Step-by-step explanation:

3 x 5 = 3 :

10 x 5       10

i hoped this helped lol

Answer:

an = a1 + 6(n-1)

Step-by-step explanation:

a1 = -9, a5= 15, a10 = 45

Since is an arithmetic sequence we only add or subtract something to get to the next term. Since we got from -9 to 15 we know that we must add something and that we add it 4 times the same amount to get from -9 to 15.

a1= -9

a2= -9+6 = -3

a3= -3+6 = 3

a4= 3+6 = 9

a5= 9+6 = 15

We add 6 each time.

The explicit formula is an = a1 + 6(n-1) because

for example a5 = a1 the first term + 6* (5-1) times

                    a5 = -9 + 6* 4 = -9 + 24 = 15✅

                    a10 = a1 + 6* (10-1)

                    a10 = -9 + 6*9 = 45✅

Answer: 12

Explanation:

add 17 to both sides

x = -5 + 17 = 12

Answer:

x = 12

Step-by-step explanation:

x - 17 = -5

x = -5 + 17

x = 12