Roger has 120 peanuts. He saves 48 for himself. He divides the rest equally among 8 friends. He wants to find how many peanuts each friend gets.

Which equations should he use? Select all that apply.

A.
72
÷
8
=
m
B.
120
+
48
=
p
C.
168
÷
8
=
n
D.
120
÷
8
=
l
E.
120
−
48
=
p

Step-by-step explanation:

1/6 (3 - 2x) < 1/3 x

let's multiply everything by 6

3 - 2x < 6/3 x

3 - 2x < 2x

3 < 4x

3/4 < x

so, x > 3/4

since 3/4 is never equal to x but is purely smaller than x, the interval of valid x values starts right after 3/4 and goes to infinity.

x = 3/4 is not valid, because 3/4 is not smaller than 3/4 (it is equal to) ...

Answer:

The answer is 441

Step-by-step explanation:

7 x 63 = 441

Answer:

Width = 12in, Length = 17in

Step-by-step explanation:

We can create two expressions from the given statements:

1) L (length) = 5 + W (width)

and

2) 58 = 2L + 2W (the equation for rectangular perimeter)

Substituting L from the first equation into the second equation yields:

58 = 2(5+W) + 2W

Distributing the 2 and solving for W yields:

12in = W

Plug this back into the first expression,

L = 5 + 12

L = 17in

Answer:

width = 12 in

length = 17 in

Step-by-step explanation:

Let width of rectangle = x

⇒ length of rectangle = x + 5

Given:

Perimeter = 2 × width + 2 × length

⇒ 58  = 2x + 2(x + 5)

⇒ 58  = 2x + 2x + 10

⇒ 58  = 4x + 10

⇒ 48  = 4x

⇒ x = 12

Therefore,

width = x = 12 in

length = x + 5 = 12 + 5 = 17 in

Answer:

becky got 2.4 lands and a quadratic is a possible

Step-by-step explanation:

2times 0.4 = 2.4

Step-by-step explanation:

37×2=74

360-74 = 286

286 ÷ 2=143

Of course, if AD and BC , and also BA and CD are even.

Answer:

I can help you what you need help with

Step-by-step explanation:

[tex]\text{Area of equilateral triangle ABC}\\ \\=\dfrac{\sqrt 3}{4} BC^2\\\\=\dfrac{\sqrt 3}4 \cdot 12^2\\\\=\dfrac{144\sqrt 3}{4}\\\\=36\sqrt 3[/tex]

Answer:

angle 1 and 3 are 127.3 degrees and angle 2 is 52.7 degrees

Step-by-step explanation:

so angle 2 is also 52.7 degrees because angle 2 and 4 are  vertical oppostite angles  

so we can look at it now that we have to find angle 1. since we know a line is 180 degrees we make angle 1 plus angle 2 equal to 180

let angle 1 be x

x + 52.7 = 180

x = 180 - 52.7

x = 127.3

Answer:

m∠1 = 127.3°

m∠2 = 52.7°

m∠3 = 127.3°

Step-by-step explanation:

Vertical Angle Theorem:  When two straight lines intersect, the opposite vertical angles are always equal to each other.

⇒ m∠1 = m∠3   and   m∠2 = m∠4

If m∠4 = 52.7° then m∠2 = 52.7°

Linear pair:  Two adjacent angles which sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠3 + m∠4 = 180°

⇒ m∠3 + 52.7° = 180°

⇒ m∠3 = 180° - 52.7°

⇒ m∠3 = 127.3°

As m∠1 = m∠3  then  m∠1 = 127.3° also.

Answer:

2/45

Step-by-step explanation:

The probability that a banana is picked for the first one is:

1/10

because there are 10 fruits and one of them is a banana,

Then, the second piece has to be a pear.

For this we have already picked one fruit out of the bag, which leaves 9 fruits in the bag.

There are 4 pears so the probability of picking a pear second is

4/9

To find the probability of a banana and then a pear, you want to multiply these values together

So:

1/10 x 4/9 = 4/90 = 2/45

So the probability is 2/45

Answer:

he left 15 % of his bill as a tip

Step-by-step explanation:

7.5/50 x 100

0.15 x 100

15

Percentage

One way to test if a graph is a function or not is by doing a vertical line test.

The vertical line test is tested by testing if any vertical line is drawn would intersect the curve more than once. If there is any such line, the graph does not represent a function, if there isn't any such line, the graph is a function.

Hope that helps!

Answer:

Vertical line test. (literally what it say)

Step-by-step explanation:

Given a graph, use the vertical line test to determine if the graph represents a function. Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

Therefore you would have x value being the same for several points.

Hello!

This equation is written in Point-Slope Form (y-y₁=m(x-x₁)

Where

y₁=y-coordinate of the point

m=slope

x₁=x-coordinate of the point

In this case, the slope is

[tex]\boxed{\boxed{\bold{\frac{1}{2}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

C) 1/2

Step-by-step explanation:

woof woof

Using the median concept, it is found that the third quartile is of is of $1,052.

The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.

In this problem, the ordered data-set is:

$379, $498, $619, $777, $895, $1,052, $1,256.

Hence, the median of $777 divides the data-set into two halfs:

Hence, the third quartile, which is the median of the second half, is of $1,052.

More can be learned about the median concept at https://brainly.com/question/25215461

The geometric sequence 128,32,8,2 has a common ratio

The recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128

The geometric sequence is given as:

128,32,8,2

Start by calculating the common ratio (r)

[tex]r = \frac{a_{n}}{a_{n-1}}[/tex]

Substitute 2 for n

[tex]r = \frac{a_2}{a_1}[/tex]

Substitute known values

[tex]r = \frac{128}{32}[/tex]

Evaluate the quotient

[tex]r = 4[/tex]

Substitute 4 for r in [tex]r = \frac{a_{n}}{a_{n-1}}[/tex]

[tex]4 = \frac{a_{n}}{a_{n-1}}[/tex]

Cross multiply

[tex]a_n = 4a_{n-1}[/tex]

Hence, the recursive definition of the geometric sequence is [tex]a_n = 4a_{n-1}[/tex] where a1 = 128

Read more about geometric sequence at:

https://brainly.com/question/24643676

The graph of the function g(x) is a quadratic equation

The possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

From the question, we have:

g(x) = x^2 --- the equation of the graph

The function f(x) is in the first quadrant.

This means that the function g(x) is shifted right and up.

This is represented as:

f(x) = (x - h)^2 + k

When stretched, the function becomes

f(x) = a(x - h)^2 + k

Where:

a > 0

From the list of given options;

The equation that has the form f(x) = a(x - h)^2 + k is

f(x) = 2(x - 3)^2 + 3

Hence, the possible equation of the function f(x) is f(x) = 2(x - 3)^2 + 3

Read more about function transformation at:

https://brainly.com/question/17586310

Answer:

Step-by-step explanation:

probability = number of favorable outcomes/total number of outcomes

To find compound probability multiply all the probabilities together.

p(3) = 1/6

p(4) = 1/6

p(1) = 1/6

p(2) = 1/6

p(6) = 1/6

Multiply all of them together.

1/6 x 1/6 x 1/6 x 1/6 x 1/6 = 1/7,776

or

[tex](\frac{1}{6} )^5 = \frac{1}{7,776}[/tex]

Step-by-step explanation:

Hopefully this was helpful!

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

Here, we have to multiply fractions.

How to Multiply Fractions?

Here are the steps:-

So let's do it.

Step 1:-

[tex]\longmapsto\sf{3=\displaystyle\frac{3}{1}[/tex]

Step 2:-

[tex]\longmapsto\sf{\displaystyle\frac{3}{1} *\frac{7}{10}}[/tex]

[tex]\longmapsto\sf{\displaystyle\frac{21}{10} }[/tex]

We can't simplify this fraction, but there's something else we can do:-

Here's the answer:-

[tex]\boxed{\sf{2\displaystyle\frac{1}{10} }}[/tex]

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

Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

Answer:

69%

Step-by-step explanation:

10×10 table, 69 cells are orange. Therefore the fraction 69/100 as a percentage is 69%.

Answer:

33.15

Step-by-step explanation:

102/2 = 51

65% of 51 = 33.15

Answer:

65% of (102/2) is 33.15

Step-by-step explanation:

I used a calculator and got this answer, it is correct. Have a nice day :)

Answer:

25 dollars divided by 1.25 dollars gives a total of 20 tickets Aaron can buy

Answer: 1.1

Step-by-step explanation:

    To find the MAD (mean absolute deviation) we subtract the mean from each data value, and take the absolute value. Then we take the average of all the values. It looks like this:

1 - 3 = -2 -> |-2| = 2

2 - 3 = -1 -> |-1| = 1

2 - 3 = -1 -> |-1| = 1

3 - 3 = 0

4 - 3 = 1

4 - 3 = 1

5 - 3 = 2

-

[tex]\frac{2+1+1+0+1+1+2}{7}[/tex]

[tex]\frac{8}{7}[/tex]

1.14

      The mean absolute deviation is about 1.1

Answer: its A or B I think its more of B than A

Step-by-step explanation:

the second one, of course.

a y-intercept is a point where x = 0.

the 2 options are clearly having y-values of -2 and +2.

Answer:

Alden, perpendicular, Elm, parallel

Step-by-step explanation:

Answer:

i think that the correct answer would  A

Step-by-step explanation:

hope this helps

Answer:

Yes it's correct

Step-by-step explanation:

90 + 40 = 130

180 - 130 = 50

Answer: 19

Step-by-step explanation:

As per the model created by Jack; f(x) determines the area and x represents length so f(3) = 9+9+1

Therefore, f(3) = 19