Question 5
Josh is inviting his friends to a party. He has 42 granola bars and 56 fruit drinks, and he wants to give the same number of each item to each friend.

What is the correct statement for the number of granola bars and fruit drinks each friend can have at his party?

1Points
A
At most, Josh can invite 28 friends to the party. If he invites that many friends, each will receive 1 granola bars and 3 fruit drinks.

B
At most, Josh can invite 42 friends to the party. If he invites that many friends, each will receive 1 granola bars and 2 fruit drinks.

C
At most, Josh can invite 7 friends to the party. If he invites that many friends, each will receive 6 granola bars and 8 fruit drinks.

D
At most, Josh can invite 14 friends to the party. If he invites that many friends, each will receive 3 granola bars and 4 fruit drinks.

Answer:

3ab ( 5a^2 + b^3 )

Step-by-step explanation:

15a^3b + 3ab^4

15a^3b = 3ab x 5a^2

3ab^4 = 3ab x b^3

15a^3b + 3ab^4 = 3ab ( 5a^2 + b^3 )

Answer:

.643

Step-by-step explanation:

just put it in the calc and round

Answer:

0.6429

Step-by-step explanation:

\(9\sqrt{14} = 0.64285\\round up to nearest thousandth = 0.6429\)

Answer: the perimeter of the garden is 38 units.

Step-by-step explanation:To find the perimeter of the garden, we need to add up the lengths of all four sides.

Starting with the bottom side, we can use the coordinates (-7, 2) and (4, 2). The distance formula tells us that the distance between these two points is:

d = √[(4 - (-7))^2 + (2 - 2)^2]

 = √[11^2 + 0^2]

 = √121

 = 11

So the bottom side has a length of 11.

Moving to the right side, we can use the coordinates (4, 2) and (4, 10). Again using the distance formula, we get:

d = √[(4 - 4)^2 + (10 - 2)^2]

 = √8^2

 = 8

So the right side has a length of 8.

For the top side, we can use the coordinates (4, 10) and (-7, 10):

d = √[(-7 - 4)^2 + (10 - 10)^2]

 = √11^2

 = 11

So the top side also has a length of 11.

Finally, for the left side, we can use the coordinates (-7, 10) and (-7, 2):

d = √[(-7 - (-7))^2 + (2 - 10)^2]

 = √8^2

 = 8

So the left side has a length of 8.

Adding all four side lengths together, we get:

Perimeter = 11 + 8 + 11 + 8

         = 38

Answer:

Yes

Step-by-step explanation:

I hope this had helped

Answer:

Step-by-step explanation:

11 times 22

the area of its cross-section multiplied by the length

answer: 242cm squared

Answer:

You simplify

Step-by-step explanation:

15. Answer is 3 ,  2 x 3/2 =   3   ( you remove parentheses & multiply the fractions)

17. Answer is -1 ,  1-3/2 = -2/2 = -1 ( you convert the mixed numbers to imporper fractions and go on from there )

16. Answer is - 2/3, ( remove parenthesese & cross cancel common factor: 2)

Answer: The answer is −2x+14 just take away the parentheses.

The answer is 24.

Step-by-step explanation:

8;16;24

6;12;18;24

Answer:

Could you specify it more pls?

Step-by-step explanation:

Answer:

A. No, because the product of the slopes is not -1

Step-by-step explanation:

The slope of a line that passes through points (x1, y1) and (x2, y2) is computed as follows:

m = (y2 - y1)/(x2 - x1)

Therefore:

Two lines are perpendicular if the product of their slopes is equal to minus one. In this case, m1*m2 = 3*(-0.4) = -1.2 ≠ -1

Answer:

Yes, because the product of the slopes is −1.

Step-by-step explanation:

I took the test :)

Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A

Answer:34

Step-by-step explanation:

Answer:

A percent of decrease (percentage decrease) is when a value is reduced by a percentage of its original amount. e.g. 100 decreased by 15 percent is 85. A percent of increase

Step-by-step explanation:

Hope dah answer helped if it did not im very sorry

please give meh brainliest

Answer:

78.5

Step-by-step explanation:

The formula to find the area of a circle is a = pi r^2

but in this case, pi is 3.14 and r is 5.

So you would do 3.14(5)^2

= 78.5

Hope this helps

Answer:

1.95 m

Step-by-step explanation:

The ratio between the parent's height and the child's height stays the same.

Therefore, 9:6 = 1.5:1.

1.5:1 = x:1.3

Hence, after calculation, the parent's height is 1.95 m.

Please give Brainliest if you found this helpful!

Answer:

19.5

Step-by-step explanation:

Answer:

$7,875

Step-by-step explanation:

5.75% of 5000 = 287.5

287.5 x 10 = 2875

5000 + 2875 = 7875

Answer:

7,875 dollars is how much Marisol will earn for a period of 5 years.

Notes:

Hi! Thanks for letting me answer your question, if I am wrong please DM me and I'd like to go over the question once again and correct myself.

Answer:

182 square feet

Step-by-step explanation:

Answer:

If you find the area of a 2D shape (ex-square) you would multiply the area by the amount of faces with the shape (that are the same shape)

Answer:A fraction represents a part of a whole

Step-by-step explanation:

eg: 3/5 by 5/5

please view explanation

The definition of a fraction is a part of a whole .

If a whole is  divided into equal parts, these equal parts are called fractions.

Fractions are written like this :

\(\boxed{\\\begin{minipage}{4cm}fractions\\$\displaystyle\frac{x\xrightarrow{numerator}}{y\xrightarrow{denominator}} \\ \end{minipage}}\)

 Where

y = the number of total parts

x = the number of parts taken

Now, it doesn't necessarily have to be a pizza or a cake.

Suppose your companion Danette has 32 pencils. Out of them, 8 pencils are red.

What fraction of the pencils is red?

Total number of pencils = 32 (denominator)

Number of red pencils = 8 (numerator)

So the fraction of red pencils is :

\(\boxed{\\\begin{minipage}{4cm}Danette's\:pencils \\ $\displaystyle\frac{8}{32} \\ \end{minipage}}\)

If the numerator and denominator are divisible by the same number, then we can reduce the fraction :

\(\boxed{\\\begin{minipage}{4cm}Danette's\:pencils \\ $\displaystyle\frac{1}{4} $\\ \end{minipage}}\)

Questions about fractions? If any, comment ~

hope helpful ~

Answer:

A, and C are the answers.

Answer:

x=1/4 y=1/4

Step-by-step explanation:

They mean x-coordinate and y-coordinate

Answer: Change 4.62 to 462.

Step-by-step explanation: If you multiply 4.62 by 100 you get 462.

1) 46/6 = 7 r 4

2) Drop down the 2 and 42/6 equals 7.

3) This will make each person get 77.

Answer: 77

(Please consider brainliest)

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Answer:

By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042

Step-by-step explanation:

Answer:

2.) y=-1/2-1

Step-by-step explanation:

so translation means that the points are moving on the graph

so the shape is moving down three then left two

it doesn’t change the shape in any way it just moves the shape

so all the sides and angles are the same

so the polygon is completely congruent with the premise and image since the shape didn’t change

Answer:

The answer above is correct! I did the test!

Step-by-step explanation:

Also, anyone from LSS here? lol

Answer:

I'm pretty sure its 52 cm squared

Step-by-step explanation:

if you count all the visible sides, you get 52

Answer:

the answer is 62cm2

Step-by-step explanation:

Answer:

\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0\)

Step-by-step explanation:

Given quadratic equation:

\(ax^2 + (2a + 2)x + a + 3 = 0\)

To find the possible values of "a" such that the given equation has two roots and the distance between them on the number line is greater than 1, use the quadratic formula.

\(\boxed{\begin{minipage}{4 cm}\underline{Quadratic Formula}\\\\$x=\dfrac{-b \pm \sqrt{b^2-4ac}}{2a}$\\\\when $ax^2+bx+c=0$ \\\end{minipage}}\)

Comparing the coefficients:

Substitute the coefficients into the quadratic formula:

\(x=\dfrac{-(2a+2) \pm \sqrt{(2a+2)^2-4a(a + 3)}}{2a}\)

Simplify the discriminant (the part under the square root sign):

\(x=\dfrac{-(2a+2) \pm \sqrt{-4a+4}}{2a}\)

Factor out 4 from the discriminant:

\(x=\dfrac{-(2a+2) \pm \sqrt{4(-a+1)}}{2a}\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(x=\dfrac{-(2a+2) \pm \sqrt{4}\sqrt{-a+1}}{2a}\)

Therefore:

\(x=\dfrac{-(2a+2) \pm 2\sqrt{-a+1}}{2a}\)

Factor out the common term 2:

\(x=\dfrac{-(a+1)\pm \sqrt{-a+1}}{a}\)

Therefore, the two solutions are:

\(x=\dfrac{-a-1+\sqrt{-a+1}}{a},\;\;x=-\dfrac{a+1+\sqrt{-a+1}}{a}\)

As both solutions have "a" as their denominator, a ≠ 0.

Note: When substituting a = 0 into the original equation, we are left with a linear equation, which only has one root. Therefore, this confirms that a ≠ 0.

Now we have found expressions for the two roots, we can set the distance between them to greater than 1:

\(\dfrac{-a-1+\sqrt{-a+1}}{a}-\left(-\dfrac{a+1+\sqrt{-a+1}}{a}\right) > \:1\)

\(\dfrac{-a-1+\sqrt{-a+1}}{a}+\dfrac{a+1+\sqrt{-a+1}}{a} > \:1\)

Simplify:

\(\begin{aligned}\dfrac{-a-1+\sqrt{-a+1}+a+1+\sqrt{-a+1}}{a}& > 1\\\\\dfrac{2\sqrt{-a+1}}{a}& > 1\\\\2\sqrt{-a+1}& > a\\\\(2\sqrt{-a+1})^2& > a^2\\\\4(-a+1)& > a^2\\\\-4a+4& > a^2\\\\a^2+4a-4& < 0\\\\(a+2)^2-8& < 0\\\\(a+2)^2& < 8\end{aligned}\)

\(\textsf{For\;\;$u^n < a$,\;\;if\;$n$\;is\;even\;then\;\;$-\sqrt[n]{a} < u < \sqrt[n]{a}|$:}\)

\(-\sqrt{8} < a+2 < \sqrt{8}\)

Therefore:

\(-\sqrt{8} -2 < a < \sqrt{8}-2\)

\(-2\sqrt{2}-2 < a < 2\sqrt{2}-2\)

So the possible values of "a" such that ax² + (2a + 2)x + a + 3 = 0 has two roots and the distance between them on the number line is greater than 1 are:

\(\large{\boxed{-2\sqrt{2}-2 < a < 2\sqrt{2}-2,\;\;a\neq0}\)