Jake's mom is making peanut butter cookies with her chocolate chips. In her first batch, she used the ratio of 2:2 for the number of cups of chocolate chips to the number of peanut butter chips. In her second batch she used the ratio of 3:1 for the number of cups of chocolate chips to the number of cups of peanut butter and made the same number of cookies in the first batch. Jake made the following tape diagrams for his mom to reference. If her first batch used 4 cups of peanut butter chips, how many cups of chocolate chip did jakes mom use for the second batch?

Answer:

9 + 6.2x = y

Step-by-step explanation:

x - Gallons per minute

y - Total gallons

So, your answer would be:

9 + 6.2x = y

Could also be written as:

y = 9 + 6.2x

Hope this helps :)

Answer:m = 5/4  b=2 and  y=5/4x +2

Step-by-step explanation:

m = 5/4  b=2 and  y=5/4x +2

Answer:

msnsjakzooapaozoziznzn zjzkzkamamz xnejiqpwkx

Answer:

(x-3)(x+8)

Step-by-step explanation:

Answer:

(x-3)(x+8) take your pick

the answer os 60% of 20 is 12

Answer:

I think that it would be -4.5

Step-by-step explanation:

Have a great day!

Answer:

-4.5

Step-by-step explanation:

yeahhhhhhh

Answer:

im sorry for doing this but i really need points

Step-by-step explanation:

Answer:

the answer is

[tex]1 \frac{1}{3} [/tex]

Answer:

10

Step-by-step explanation:

h(x) = -(-5) + 5

h(x) = 5 + 5

h(x) = 10

The statement about the correlation coefficient of the exponential and logarithmic model is true

The correlation coefficient, r² is given as:

r² = 0.668

An exponential model and a logarithm model are inverse functions.

This means that, their correlation coefficients are also inverse

Given that the correlation coefficient, r² of the exponential data is 0.668.

And the highest value of the correlation coefficient is 1.

This means that the correlation coefficient, r² of the logarithmic data would be less than 0.668

Hence, the given statement is true.

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Answer:

true

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Calculate in calculator

Answer:

Nothing left

Step-by-step explanation:

Nothing left

2/7+4/5=38/35

1 3/35

Answer:

[tex]\frac{1}{7}[/tex]

Step-by-step explanation:

Amount of cake Rani ate = [tex]\frac{2}{7}[/tex]

You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.

Amount of cake brother ate = [tex]\frac{4}{5}[/tex] × ([tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex])

                                               = [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{7}[/tex]

                                               = [tex]\frac{4}{7}[/tex]

Amount of cake left = [tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex] - [tex]\frac{4}{7}[/tex]

                                 = [tex]\frac{1}{7}[/tex]

Answer:

Note that  24  - 10  =  14  don't have black  fur

And suppose  that these 14 are part of the 17 that don't catch mice

Then.....3 that catch mice  must also have black fur....and this is the smallest number that do not catch mice but have black fur

Answer:

X=2

Y=1

Step-by-step explanation:

........... Solution on the photo above

Answer:

x^4-3x^3-14x^2+12x+40 =0

Step-by-step explanation:

Answer:

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

Step-by-step explanation:

Given the expression

[tex]3^{-3}\cdot 8^{-3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]

[tex]=\frac{1}{24^3}[/tex]

Thus,

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

Answer:

s=2r

Step-by-step explanation:

Solution:

Given;

2q-r=p

r=q-s

or,q=r+s

p=q+2r

To prove: s=2r

Now,

2q-r=p

or,2(r+s)-r=q+2r

or,2r+2s-r=r+s+2r

or,r+2s=3r+s

or,s=2r

PROVED

If you want any other solutions follow me

THANK YOU

By using the substitution method we can prove s = 2r.

Given,

2p - r = p

r = q - s

p = q + 2r

We need to prove s = 2r.

It is a method where we substitute the value of one variable in one equation for the same variable in the other equation.

Example:

x + 4 = y _____(1)

x = y - 4

x + 5 = 2y ______(2)

Putting x = y - 4 in (2)

y - 4 + 5 = 2y

-4 + 5 = 2y - y

1 = y

y = 1

Prove s = 2r.

We have,

2q - r = p ____(1)

r = q - s _____(2)

p = q + 2r ______(3)

From (1) and (2)

Substituting (2) in (1)

2q - (q - s) = p

2q - q + s = p

q + s = p _____(4)

Putting (4) in (3)

q + s = q + 2r

q - q + s = 2r

s = 2r

Hence proved.

Thus we can prove s = 2r.

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i really really really like birds

Answer:

y = (0,4)

x=(6,0)

(6,4)

Step-by-step explanation:

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

ok

a.

33/60=0.55

55%

b.

114/60=1.9

or 190%

c

60/100=0.6

0.6=1 percent

54

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

The solution is 40% acetic acid.

Multiply the amount of the solution by 40%:

15 liters x 0.40 = 6 liters

There is 6 liters of acetic acid

Answer: Khloe could buy 3 bags of popcorn and 9 candies.

Step-by-step explanation:

\underline{\text{Variable Definitions:}}

Variable Definitions:

​

x=

x=

\,\,\text{the number of bags of popcorn}

the number of bags of popcorn

y=

y=

\,\,\text{the number of candies}

the number of candies

\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}

“no less than 11 items"→11 or more items

Use a \ge≥ symbol

Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:

x+y\ge 11

x+y≥11

\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}

“$60 to spend"→can spend $60 or less

Use a \le≤ symbol

One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:

7x+4y\le 60

7x+4y≤60

\text{Solve each inequality for }y\text{:}

Solve each inequality for y:

\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}

x+y≥11

y≥11−x

​

7x+4y≤60

4y≤60−7x

y≤

4

60−7x

​

y≤15−

4

7

​

x

​

Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−

4

7

​

x by shading down:

0

the number of bags of popcorn

the number of candies

x

y

0

the number of bags of popcorn

the number of candies

(3, 9)

Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:

Khloe could buy 3 bags of popcorn and 9 candies.

The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Now , the total number of bags should be no less than 11

And , the inequality is

x + y ≥ 11   be equation (1)

And , cost of each popcorn bag = $ 7

So , the cost of x bags = 7x

And , cost of each candy bag = $ 4

So , the cost of y bags = 4y

The total amount with Khloe = $ 60

And , the inequality is

7x + 4y ≤ 60   be equation (2)

On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution

So , 7 ( 3 ) + 4 ( 9 ) ≤ 60

21 + 36 ≤ 60

57 ≤ 60

And , 3 + 9 ≥ 11

12 ≥ 11

Hence , the system of inequalities are solved and the graph is plotted

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Answer:

7

Step-by-step explanation:

Just add them together...

Answer:

c

Step-by-step explanation:

i used a calculator (they never lie)

Answer:

22

Step-by-step explanation:

60+6x-12= 180

6x = 180 -48

x= 132/6= 22

Answer:

a)

(4a - 3b + 4) + (a + 3b - 1) =

4a - 3b + 4 + a + 3b - 1 =

5a + 3

b)

(2x^2 - 3x - 3) + (-x^2 - 6x + 8) =

2x^2 - 3x - 3 - x^2 - 6x + 8  =

x^2 - 9x + 5

c)

(3m^2 + 5m - 6) + (-m^2 - 4n + 5) =

3m^2 + 5m - 6 - m^2 - 4n + 5 =

m^2 + 5m - 4n -1

d)

(4x^3 - 3xy^2) + (x^3 - 5xy^2 - 5y^2) =

4x^3 - 3xy^2 + x^3 - 5xy^2 - 5y^2 =

7x^3 - 8xy^2 - 5y^2

e)

(5m + 2lm) + (l^2 - 3m^2 - 2lm) =

5m + 2lm + l^2 - 3m^2 - 2lm =

5m + l^2 - 3m^2

Answer:

x + y = 10

3.75x + 2.5y = 35

Step-by-step explanation:

Got it correct

Answer: