There are 72 eight grade students and 84 sixth grade students participating in the Fun Run competition. The students will be put into groups among their own grade and into the largest possible equal groups with no students left over. How many students will be in each group? Group of answer choices

Answer:

h = -2

Step-by-step explanation:

16+7h = 2

subtract 16 from BOTH sides

7h = 2-16

simplify

7h = -14

divide BOTH sides by 7

h = -2

Answer:

The Slope Is 2/3

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest!

Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

Answer:

[tex]\huge\boxed{D.\ -5x-24}[/tex]

Step-by-step explanation:

[tex]3(2x-8)-11x\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(3)(2x)+(3)(-8)-11x=6x-24-11x\qquad|\text{combine like terms}\\\\=(6x-11x)-24=-5x-24[/tex]

Answer:

t = b4+c10

Step-by-step explanation

4 times however how many bags

10 times however how many cartons

Answer:

[tex] h \le 30 [/tex]

Step-by-step explanation:

Let h = number of hours of work.

At most 30 hours means 30 hours or less.

[tex] h \le 30 [/tex]

Answer:

false

Step-by-step explanation:

3(7) = 21+9 = 30

Answer:

False

Step-by-step explanation:

Hope This Helps!!!

Answer:

Ariel will be at an elevation of -3 m.

Step-by-step explanation:

There are three persons Eric, Mark and Ariel.

Location of these persons are,

Mark - Sitting at deck (Above the sea level)

Eric - swimming along the surface (At the sea level)

Ariel - diving beneath Eric (Below the sea level)

Since, all the distances above the sea level are measured with positive notation and below the sea level with negative.

Ariel will be at an elevation of -3 m.

Answer:

Ariel

Step-by-step explanation:

khan says so

Put this on a graph (I recommend putting the coordinates into desmos for easy graphing)

0 hours: (0, 0)

1 hours: (1, 7)

2 hours: (2, 14)

3 hours: (3, 21)

4 hours: (4, 28)

5 hours: (5, 35)

6 hours: (6, 42)

6.5 hours: (6.5, 45.5)

After 6.5 hours the lava would have travelled approximately 45.5 miles

I hope this helps you!

Answer: 6.5 hours

Step-by-step explanation:

You have to find out how long it’ll take, so you divide the total amount by the speed, so 455/70=6.5

Answer:6

Step-by-step explanation:

Answer:

1. n = 9

2. m = - 17

3. r  =  17

4. x  =  0

5. m = 10

6. y = -3

7. a = 1

8. r = -10

9. x = 8

Step-by-step explanation:

Answer:

x+3/5

Step-by-step explanation:

f(x)=x-3/5

y=f(x) let

y=x-3/5

put x at y and y at x

then,

x=y-3/5

y=x+3/5

f(x) inverse is x+3/5

Answer:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

Step-by-step explanation:

Consider the inequality [tex]25x+200y\geq 1000[/tex]

Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.

To write: three different amounts of milk and cheese that a person could consume to meet the recommendation

Solution:

Take [tex]x=20,y=3[/tex]

[tex]25(20)+200(3)\geq 1000\\500+600\geq 1000\\1100\geq 1000[/tex]

So, [tex]x=20,y=3[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Take [tex]x=30,y=4[/tex]

[tex]25(30)+200(4)\geq 1000\\750+800\geq 1000\\1550\geq 1000[/tex]

So, [tex]x=30,y=4[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Take [tex]x=40,y=5[/tex]

[tex]25(40)+200(5)\geq 1000\\1000+1000\geq 1000\\2000\geq 1000[/tex]

So, [tex]x=40,y=5[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]

Therefore,

three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:

20 ounces of milk and 3 ounces of cheddar cheese

30 ounces of milk and 4 ounces of cheddar cheese

40 ounces of milk and 5 ounces of cheddar cheese

Answer:

a

Step-by-step explanation:

Answer:

The correct answer for plato is option C

Step-by-step explanation:

C. (2, -1)

Answer:

56ײ-221x+108

Step-by-step explanation:

Answer:

15 sides

Step-by-step explanation:

Recall the following about interior and exterior angles of polygons.

Interior angles of polygons:

The formula (n - 2)180 gives the sum of the measures of the interior angles of a polygon of n sides.

If we know the number of sides, we can find the sum of the measures of the angles.

Exterior angles of polygons:

The sum of the measures of the exterior angles of a polygon is 360. If the polygon is a regular polygon of n sides, then the measure of each exterior angle is 360/n.

This problem:

QRSTU is a regular pentagon.

The sum of the measures of the sides of a polygon of n sides is

(n - 2)180

For a pentagon, n = 5, so

(n - 2)180 = (5 - 2)180 = (3)180 = 540

The sum of the measures of the angles of pentagon QRSTU is 540.

Since it's a regular polygon, each angle measures 540/5 = 108.

Angles UQR, R, and S are interior angles of the pentagon, so each one measures 108 degrees.

Now look at polygon VQRS. It is a quadrilateral with sides VQ, QR, RS, and SV. The sum of the measures of the angles of a quadrilateral (4 sides; n = 4) is

(n - 2)180 = (4 - 2)180 = 2(180) = 360

m<VQU = 12 (given)

m<UQR = 108

m<VQR = m<VQU + m<UQR = 108 + 12 = 120

The angles of quadrilateral VQRS are <VQR, <R, <S ,and <TVQ. Their sum is 360.

<VQR + m<R + m<S + m<TVQ = 360

We now substitute the angle values we know and solve for m<TVQ.

120 + 108 + 108 + m<TVQ = 360

m<TVQ = 24

<TVQ is an exterior angle of the large polygon of which PQ, QV and VW are sides.

The sum of the measures of the exterior angles of a polygon, one per vertex, is 360. For a regular polygon, all exterior angles are congruent, and the measure of each exterior angle is the sum of the the measures of the exterior angles divided by the number of sides.

[tex] measure~of~an~exterior~angle = \dfrac{sum~of~the~measures~of~the~exterior~angles}{number~of~sides} [/tex]

[tex] a = \dfrac{360}{n} [/tex]

We know that the measure of an exterior angle is 24 deg.

[tex] 24 = \dfrac{360}{n} [/tex]

[tex] n = \dfrac{360}{24} [/tex]

[tex] n = 15 [/tex]

Answer: 15 sides

Answer:

15 sides

This was tough.

Answer:

One solution

Step-by-step explanation:

12x+96=11x-5

12x-11x= -5-96

x= -101

x only equals one solution, which is -101.

Answer:

x<0 and x>-2

Step-by-step explanation:

Answer:

x<0 and x>−2

Step-by-step explanation:

Step 1: Add -3 to both sides.

|x+1|+3+−3<4+−3

|x+1|<1

Step 2: Solve Absolute Value.

|x+1|<1

We know x+1<1 and x+1>−1

x+1<1(Condition 1)

x+1−1<1−1(Subtract 1 from both sides)

x<0

x+1>−1(Condition 2)

x+1−1>−1−1(Subtract 1 from both sides)

x>−2

You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.

What is Simple Interest ?

Simple interest can be defined as the ratio of product of principal amount , rate , time and hundred.

The interest on your loan can be calculated using the formula:

Interest = Principal x Rate x Time

In this case, the principal is $400, the rate is 8% (or 0.08 as a decimal), and the time is 2 years.

So, plugging in the numbers:

Interest = $400 x 0.08 x 2 = $64

Therefore, the total amount you will have to pay back is the sum of the principal and the interest, which is:

Total = Principal + Interest

= $400 + $64 = $464

Hence, You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.

To learn more about Simple Interest from given link.

https://brainly.com/question/25845758

#SPJ1

Answer:

Adrian's songs played on 9 commercials and 5 movies.

Step-by-step explanation:

Let x denotes number of commercials and y denotes number of movies.

Total number of commercials and movies = 14

So,

[tex]x+y=14\\x=14-y\,\,\,\,...(i)[/tex]

Adrian will earn $40 every time one of his songs is played in a commercial and he will earn $130 every time one of his songs is played in a movie

Total amount earned = $1010

[tex]40x+130y=1010\,\,\,...(ii)[/tex]

Put [tex]x=14-y[/tex] in (ii)

[tex]40(14-y)+130y=1010\\560-40y+130y=1010\\90y=1010-560\\90y=450\\y=\frac{450}{90}=5[/tex]

Put [tex]y=5[/tex] in [tex]x=14-y[/tex]

[tex]x=14-5=9[/tex]

Therefore, Adrian's songs played on 9 commercials and 5 movies.

Answer:

(a) y = 1/4x - 4

(b) y = -4x + 17

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

(a)

Parallel lines have the same slope but different y-intercepts.

m = 1/4x

y = 1/4x + b

-2 = 1/4(8) + b

-2 = 2 + b

b = -4

y = 1/4x - 4

(b)

Perpendicular lines have the negative reciprocal slope.

m = -4

y = -4x + b

1 = -4(4) + b

1 = -16 + b

b = 17

y = -4x + 17

Answer:

C. Uniform circular motion is when a object travels on a circular path at a constant speed.

Easy buddy...

[tex]y \geqslant |x - 5| + 1 [/tex]

Just it....

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer: A and C are correct.

Step-by-step explanation:

Look at the proportions. For 8 cups of water there are 3 cups of lemon juice. So L 3/8(w)

For 8 cups of water there are 2 cups of sugar. 8 is 4 times 2. So the amount of water is 4 times the amount of sugar. W= 4s

Answer:

y = 1/3x+1

Step-by-step explanation:

Use the intercepts to find the slope

(-3,0) and (0,1)

(1-0) / (0-(-3)) = 1 / 3

Plug it into the equation

y= 1/3x + 1

Answer:

Trinomial: (2x² – 5x) + (4x – 10)

GCF: x (2x – 5) + 2 (2x – 5)

Step-by-step explanation:

2x² – x – 10

The equation above can be factorised as follow:

2x² – x – 10

Multiply the first term (i.e 2x²) and the last term (i.e –10) together.

2x² × (–10) = –20x²

Find two factors of –20x² such that when we add them together, it will result to the 2nd term in the equation (i.e –x).

The factors are 4x and –5x.

Next, replace –x in the equation above with 4x and –5x. This is illustrated below:

2x² – x – 10

2x² – 5x + 4x – 10

Next, factorise

2x² – 5x + 4x – 10

Trinomial: (2x² – 5x) + (4x – 10)

GCF: x (2x – 5) + 2 (2x – 5)

Answer:

8x=96 inch

Step-by-step explanation:

How its in the draw you have this situation then the equation that model is the next one:

2*(3X) + 2*X = 96 inch

6X + 2X = 96 inch

8X=96 inch

We must multiply due that there is two sides that measure the same.

The equation which models this situation is,

⇒ 96 = 2 ((3 + 2x) + x)

or ⇒ 96 = 2 (3 + 3x)

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

We have to given that;

A rectangle has a length that is 3 more than twice the width.

And, Its perimeter is 96 inches.

Let the width of rectangle = x

So, The length of rectangle = 3 + 2x

Now, We know that;

⇒ Perimeter of rectangle = 2 (Length + Width)

Substitute all the values, we get;

⇒ Perimeter of rectangle = 2 (Length + Width)

⇒ 96 = 2 ((3 + 2x) + x)

⇒ 96 = 2 (3 + 3x)

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ2