1 point
Ana drinks orange juice every morning. She uses a glass that holds 1/8 of the container of
orange juice. She has 7/10 of a container left in the refrigerator. How many glasses of
orange juice will she be able to have? *
Your answer

Answer:

19 units

Step-by-step explanation:

In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units

The length of the side TU of the parallelogram is 19 units long.

A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.

In the question, we are given a parallelogram STUV.

The length of the side TU is given as x + 10.

The length of the side VS is given as 3x - 8.

As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.

∴ TU = SV

or, x + 10 = 3x - 8

or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)

or, -2x + 10 = -8 (Simplifying)

or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)

or, -2x = -18 (Simplifying)

or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)

or, x = 9 (Simplifying).

Now, TU = x + 10 = 9 + 10 = 19.

∴ The length of the side TU of the parallelogram is 19 units long.

Learn more about parallelograms at

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Answer:

101.3 °

Step-by-step explanation:

(C x 9/5) + 32 = F

(38.5°C × 9/5) + 32 = F

101.3° = F

Answer:

The answer is option A.

Step-by-step explanation:

-5x-10 <20

Group like terms

-5x < 20 + 10

-5x < 30

Divide both sides by -5

x > - 6

Hope this helps

Hope this helps

Answer:

The height of parallelogram is [tex]2x^2-7x+1[/tex]

Step-by-step explanation:

Area of parallelogram =[tex]Base \times Height[/tex]

Area of parallelogram = [tex]2x^3 -x^2 -20x + 3[/tex]

Base of parallelogram = x+3

So, [tex]2x^3-x^2-20x + 3 = height \times (x+3)[/tex]

[tex]\frac{2x^3- x^2 -20x + 3}{x+3}= height\\2x^2-7x+1=Height[/tex]

Hence The height of parallelogram is [tex]2x^2-7x+1[/tex]

Answer:

^^^^^^^

correct

Step-by-step explanation:

Answer:

idk

Step-by-step explanation:

I'm going to do some deep research to find the answer. One sec

Answer:

There are 5 groundhogs and 10 crows.

Step-by-step explanation:

Ok, so there are 15 animals and 40 legs. So, groundhogs have 4 legs while crows have 2. Lets say x= our groundhog legs, and y= our crow legs. Our equations are 4x+2y=40 and x+y=15. Now that we have the equations needed we just have to solve them. Now we subtract the two equations from each other. So, this would get,

                                                                            4x+2y=40

                                                                           -   x+  y=15

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

                                                                               3x+y=25.

Now we need to subtract x to the other side. So, now we have y=25-3x. The only solution to this problem is (5,10). 25-3(5)=25-15=10. To check this lets put them into our original equations, 4x+2y=40 and x+y=15. So, 4(5) + 2(10)=20+20=40, and 5+10=15! So there's your answer.

Answer:

Hi ,

Cube of a number :

_______________

For a given number x we define cube

of x = x × x × x , denoted by x^3.

A given Natural number is a perfect

Cube if it can be expressed as the

product of triplets of equal factors.

Now ,

Write given number as product of

prime .

8788 = 2 × 4394

= 2 × 2 × 2197

= 2 × 2 × 13 × 169

= 2 × 2 × 13 × 13 × 13

= 2 × 2 × ( 13 × 13 × 13 )

Here we have only triplet of equal

factors i.e 13

To make 8788 into perfect Cube we

have multiply with 2.

Now ,

2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )

17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect

Cube

I hope this will useful to you.

Answer:

D. 6\sqrt{5}-4\sqrt{7}

Step-by-step explanation:

[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}[/tex]

Answer:

D

Step-by-step explanation:

12x + 6y = 24

Subtract 6y on both sides.

12x = 24 - 6y

Divide 12 into both sides.

x = 24/12 - 6/12y

x = 2 - 1/2y

The solution for x in terms of y is x = 2 - (1/2)y

We have,

To solve the equation 12x + 6y = 24 for x, we can isolate x on one side of the equation.

Starting with 12x + 6y = 24, we can subtract 6y from both sides:

12x + 6y - 6y = 24 - 6y

This simplifies to:

12x = 24 - 6y

Next, we divide both sides of the equation by 12 to solve for x:

(12x)/12 = (24 - 6y)/12

This gives us:

x = (24 - 6y)/12

x = 24/12 - 6y/12

x = 2 - (1/2)y

Therefore,

The solution for x in terms of y is x = 2 - (1/2)y

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Hey there! :)

Answer:

a = -8/3

Step-by-step explanation:

Given:

3 - 9a = 27

Subtract 3 from both sides:

3 - 3 -9a = 27 -3

-9a = 24

Divide both sides by -9:

-9a/(-9) = 24/(-9)

a = -24/9

Simplify the fraction:

a = -8/3

Answer:

Solution,

[tex]3 - 9a = 27 \\ or \: - 9a = 27 - 3 \\ or \: - 9a = 24 \\ or \: a = \frac{24}{ - 9} \\ a = - \frac{8}{3} [/tex]

Hope this helps..

Good luck on your assignment..

Answer:

[tex]\boxed{\sf \ \ \ f^{-1}(-2)=-2\ \ \ }[/tex]

Step-by-step explanation:

hello

in the output check where you can see -2

and then follow the arrow to find the corresponding item in input which is -2

hope this helps

Answer [tex]67\leq t\leq 87=15[/tex]

Step-by-step explanation: It's asking for the range so you have to subtract the the lowest temp with the highest temp. The highest temp is 82 and the lowest 67. 82-67 is 15 but they asked you to write it inequality so [tex]67\leq t \leq 87 = 15[/tex]

Answer:

a.) k = 10

b.) x = 20

Step-by-step explanation:

Step 1: Plug in variables and calculate for k

2 = k/5

10 = k

Step 2: Plug in variables and calculate for x

0.5 = 10/x

0.5x = 10

x = 20

Answer:

The sum of any rational number and any irrational number will always be an irrational number. This allows us to quickly conclude that ½+√2 is irrational.

Step-by-step explanation:

Answer:

16 tricycles

Step-by-step explanation:

First, let's make a chart:

Bicycles- x bicycles and 2x wheels

tricycles- y tricycles and 3x wheels

Four wheeled vehicles- 2 bikes (given), 8 wheels

Since the total amout of bikes is 40, that means that x+y+8=40

You can simplify that to x+y=38.

now, we're going to form another equations dealing with the number of wheels.

Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92

Solve the system of equations:

2x+3y=92

x+y=38

y will be 16

Step-by-step explanation:

Answer:

B. SAS

Step-by-step explanation:

3/1= 2.25/075

The 2 sides are congruent and the angle between them is common

B. SAS is the answer

Answer:

m = 5/8

Step-by-step explanation:

                                                2 - (-3)

The slope is m = rise / run = ------------- =  5/8

                                                 6 - (-2)

Answer:

The answer is 5/8

Step-by-step explanation.

The equation for slope is y2-y1/x2-x1. In this case, it would equal 2-(-3)/6-(-2). When you simplify this you get 5/8.

Answer:

A

Step-by-step explanation:

AA stands for angle angle.

For the two triangles given being similar by AA, they should have two equal angles. Of course, once two angles are equal the third one will be equal as well, once the angles of a triangle always add up to 180º.

Therefore, the angle ∠NMO and ∠QPR should be equal.

Answer:

7, with shaded dot (I hope this helps you)

Explanation:

Answer:

So we have (-1,3), (-2,2) and (-5,-1).

Step-by-step explanation:

So we need to find the equation of the line that is parallel to the blue line going through point P.

The slope of the blue line (count the rise/run) is 1/1=1.

Parallel lines have the same slope.  

So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.

So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.

Point P is actually the y-intercept of the line going through P.

So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.

You can also just write y=1x+4 as y=x+4.

Testing the points:

(-4,2)?

Does y=x+4 for this point?  2=-4+4 which gives us 2=0 so no for this point.

(-1,3)?

Does y=x+4 for this point?  3=-1+4 which gives us 3=3 so yes for this point.

(-2,2)?

Does y=x+4 for this point?  2=-2+4 which gives us 2=2 so yes for this point.

(4,2)?

Does y=x+4 for this point?  2=4+4 which gives us 2=8 so no for this point.

(-5,-1)?

Does y=x+4 for this point?  -1=-5+4 which gives -1=-1 so yes for this point.

So we have (-1,3), (-2,2) and (-5,-1).

Answer: v = 3t^2, -e^-t ;

Speed = √ 9t^4 + (-e^-t)^2 ;

a(t) = 6t, e^-t

Step-by-step explanation:

Given the position function at time 't' for t greater than or equal to 0:

r(t) = (9,t^3, e^-t)

The Velocity of 'v' is the first derivative of r with respect to 't' :

d/dt(9) = 0

d/dt(t^3) = 3t^3-1 = 3t^2

y = (e^-t) =

Using chain rule :

Let u = -t

y = e^u ; dy/du = e^u

du/dt = -1 ;

Therefore dy/dt = dy/du * du/dt

dy/dt = -1 * e^u ; -e^u ; u = -t

dy/dt = -e^-t

Therefore,

v = 3t^2, -e^-t

The magnitude of velocity 'v ' = speed

Speed = √v1^2 + v2^2

Speed = √(3t^2)^2 + (-e^-t)^2

Speed = √ 9t^4 + (-e^-t)^2

Acceleration(a) = derivative of velocity

d/dt(3t^2) = 6t

d/dt (-e^-t) :

Using chain rule :

dy/dt = -e^-t

Let u = -t ; du/dt = -1

-e^u ; dy/du = -e^u

Therefore, dy/dt = -1 * -e^u

u = -t

dy/dt = e^-t

Therefore, acceleration:

a(t) = 6t, e^-t

Answer:

V = 251.3 cm³

Step-by-step explanation:

Diameter  8 cm

Radius = 4 cm

Height = 5 cm

Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]

Where r = 4 cm, h = 5 cm

V = (3.14)(4)²(5)

V = (3.14)(16)(5)

V = 251.3 cm³

Answer:

251.3 cm³

Step-by-step explanation:

The diameter is 8 cm

So the radius is 8/2 = 4 cm

The height is 5 cm

Volume of tin can:

[tex]\pi r^2 h[/tex]

r = 4 & h = 5

[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]

Answer:

The orthocenter is the point of intersection of the three heights of a triangle.

The centroid is the point of intersection of the three medians.

The circumcenter is the point of intersection of the three perpendicular bisectors.

The incenter is the point of intersection of the three angle bisectors.

Step-by-step explanation:

Answer:

Let's denote:

The event of driving while using a cell phone: A

The event of having a traffic accident: B

The event of driving while using a cell phone and having a traffic accident:  A⋂B

P(A) = 11% = 0.11

P(B) = 5.26% = 0.526

P(A⋂B) = 28% = 0.28

If event A and event B are independent (it means the cause of a traffic accident is nothing related to driving while using a cell phone), then:

P(A) x P(B) = P(A⋂B)

Let's check:

P(A) x P(B) = 0.11 x 0.526 = 0.05786 and not equal to P(A⋂B) = 0.28

=> Event A and event B are not independent. In other words, they are related. (it means driving while using a cell phone is one of the reasons for having a traffic accident)

Answer:

d) y=(x+pi/2)

Step-by-step explanation:

edge 2020 correct & 100%

Answer:

D

Step-by-step explanation:

the scale factor will be the square of the fraction

7/4 =49/16

Answer:

D

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

100/15=6 2/3

12*6 2/3 = 80

80 percent increase

Answer:

solution,

Old price (P1)=$15

New price(P2)=$27

percent increase:

[tex]( \frac{p2 - p1}{p1} ) \times 100 \: percent \\ = ( \frac{27 - 15}{15} ) \times 100 \: percent \\ = ( \frac{12}{15} ) \times 100 \: percent \\ = 80 \: percent[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Third option

Step-by-step explanation:

Plot the following (-20,5) , (1,5)

[tex]20 - 1 = 19[/tex]

Or you can just count the units from (-20,5) to (1,5) which is a 19 unit difference, remember that units is per square. The answer is the third option.

Hope this helps.

Answer:

It is the first option: (-14, 12) and (5, 12).

Step-by-step explanation:

Because the x-values are -14 and 5, and 5 - (-14) is 19, whereas the y-values stay the same. So the points (-14, 12) and (5, 12) are 19 units apart. You can also graph this and count the units from -14 to 5.

Answer:

a

Step-by-step explanation:

====================================================

Work Shown:

F = first test data set

F = {1,3,5,5,7,7,7,8,8,8,8,9,9,9,9,9,9,9,9,10,10,10,10,10,10}

m = mean of set F

m = (sum of values in set F)/(number of values in set F)

m = (1+3+5+5+7+7+7+8+8+8+8+9+9+9+9+9+9+9+9+10+10+10+10+10+10)/25

m = 199/25

m = 7.96

----------

L = last test data set

L = {3,4,4,5,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,9,9,9,10,10}

n = mean of set L

n = (sum of values in set L)/(number of values in set L)

n = (3+4+4+5+5+6+6+6+7+7+7+7+7+7+8+8+8+8+8+9+9+9+9+10+10)/25

n = 177/25

n = 7.08

----------

d = difference in means

d = m - n

d = 7.96 - 7.08

d = 0.88

Answer:

5x + 10 = 10

Step-by-step explanation:

5x + 10 = 10

5x = 10 - 10

5x = 0

x = 0/5

x = 0

Only one solution.

Answer:

17

Step-by-step explanation:

the rise is the new minus the old.

9 - -8 = 9+8 = 17

Answer:

rise in temp= 17℃

Step-by-step explanation:

midnight= -8℃

noon= 9℃

9- (-8)= 17

rise in temp= 17℃

or you could just count the difference on your fingers.

-8, -7 ,-6........ 6, 7,8,9