One batch of pink paint uses 2 cups of red paint and 7 cups of white paint. Mai made a
large amount of pink paint using 14 cups of red paint.
a. How many batches of pink paint did she make?

Answers

Answer 1

Answer:

7

Step-by-step explanation:

14/2=7

Answer 2
7 batches
Step by step explanation
1 batch=2cups of red and 7 cups white
14 cups of red paint = 7 batches

Related Questions

adult female Labrador Retrievers weigh an average of 65 lbs with a standard deviation of 4 lb adult female German Shepherds weigh an average of 62 pounds with a standard deviation of 3 lbs one sets teacher owns and underweight lab in an underweight German Shepherd the lab weighs 58 pounds and the German Shepherd weighs 59 pounds what is the Z score for the lab.

Answers

Labrador Retrievers weigh an average of 65 lbs with a standard deviation of 4 lb

German Shepherds weigh an average of 62 pounds with a standard deviation of 3 lbs

Jon just received a job offer that will pay him 12% more than what he makes at his current job. If the salary at the new job is 68,000. What is his current salary? Round to the nearest cent.

Answers

Let be "x" Jon's current salary.

According to the information given in the exercise, the salary at the new job is 68,000 and this is 12% more than his salary at his current job.

To convert from percent to a Decimal number, you can divide by 100. Then:

[tex]\frac{12}{100}=0.12[/tex]

Therefore, knowing that information, you can set up the following equation:

[tex]x+0.12x=68,000[/tex]

Now you can solve for "x" in order to find its value:

[tex]\begin{gathered} 1.12x=68,000 \\ \\ x=\frac{68,000}{1.12} \\ \\ x\approx60,714.29 \end{gathered}[/tex]

The answer is:

[tex]60,714.29[/tex]

why do trees have wood (fre3 po1nts

Answers

Answer: The tree takes the Carbon dioxide from the air and converts it to wood.

Can anyone help me with this true or false question

Answers

ANSWER

A. True

EXPLANATION

Let the complex number be z = a+ ib, so its complex conjugate is z* = a - ib, where a and b are real numbers. Let's find the product,

The product is,

[tex](a+ib)(a-ib)=a\cdot a-a\operatorname{\cdot}ib+ib\operatorname{\cdot}a-ib\operatorname{\cdot}ib[/tex]

Solve the products,

[tex](a+ib)(a-ib)=a^2-iab+iab-i^2b^2[/tex]

Simplify: note that the second and third terms are opposites, so they cancel out. Remember that i² is equal to -1,

[tex](a+ib)(a-ib)=a^2+0-(-1)b^2=a^2+b^2[/tex]

Since a and b were real numbers, then the sum of their squares is also a real number.

Hence, this statement is true.

I have a few different questions :) first off I need this domain and range found

Answers

ANSWER

[tex]\begin{gathered} \text{Domain: -7 }\leq x\leq3 \\ \text{Range: }-1\text{ }\leq y\leq9 \end{gathered}[/tex]

EXPLANATION

We want to find the domain and range of the function.

The domain of a function is the set of all input values of the function. Basically, the set of all x values of a function.

The range of a function is the set of all output values of the function. Basicallly, the set of all y values of a function.

To find the domain of the function, we have to look at the smallest and largest values of x.

The smallest value of x is -7.

The largest value of x is 3.

So, the domain is:

[tex]-7\text{ }\leq x\text{ }\leq3[/tex]

To find the range of the function, we have to look at the smallest and largest values of y.

The smallest value of y is -1.

The largest value of y is 9.

So, the range is:

[tex]-1\text{ }\leq y\leq9[/tex]

Which equation represents a line that is perpendicular to the line passing through (-4,7) and (1,3)?A. y =x + 8B.y =-x + 6C.y =x - 3D. y = -x - 2

Answers

If two lines of slopes m1 and m2 are perpendicular, then:

[tex]m_1\cdot m_2=-1[/tex]

The slope of a line passing through points (x1, y1) and (x2, y2) is:

[tex]\begin{equation*} m=\frac{y_2-y_1}{x_2-x_1} \end{equation*}[/tex]

We are given the points of the first line (-4, 7) and (1, 3). Calculate the slope

[tex]m_1=\frac{3-7}{1+4}=-\frac{4}{5}[/tex]

The slope of the perpendicular line is:

[tex]m_2=-\frac{1}{m_1}=-\frac{1}{-\frac{4}{5}}=\frac{5}{4}[/tex]

The equation of the perpendicular line has the form:

[tex]y=\frac{5}{4}x+b[/tex]

None of the options has the correct answer.

Destinee's house is located at (2, 3) on the coordinate grid. El Ticonzito is located at (-4,-2).
If El Ticonzito is the midpoint between Destinee's house and Ana's house, what is the approximate distance between Ana's house and Destinee's house?
A. 6.63 miles
B.
C.
D.
7.50 miles
11.00 miles
10
15.62 miles

Answers

The distance between Destinee's house and Anna's house is 15.62 miles

Midpoint of a Line

To find the coordinate of the Anna's house, we can use the formula of midpoint on this. This is given as

[tex]midpoint(x,y) = \frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2}[/tex]

In the question, El Ticonzito's house is at midpoint between Destinee's house and Anna's house.

[tex]midpoint(x,y) = \frac{x_2 + x_1}{2}, \frac{y_2 + y_1}{2}\\-4 = \frac{2 + x_1}{2} = -8 = 2 + x_1\\x_1 = -8 - 2 = -10\\\\-2 = \frac{3 + y_1}{2} \\-4 = 3 + y_1\\-4 - 3 = y_1\\y_1 = -7[/tex]

The coordinate's of Anna's point is (-10, -7).

Let's use this to calculate the distance (d) between the two points.

[tex]d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2} \\d = \sqrt{(-10-2)^2 + (-7 - 3)^2} \\d = \sqrt{(-12)^2 + (-10)^2} \\d = \sqrt{244}\\ d = 15.62 miles[/tex]

The distance between the two points is 15.62 miles

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Write the equation of the line (in standard form) that goes through point (5,-1) and is parallel to the equation 3x + 2y = 19.

Answers

3x+2y=10 This is the equation of the new line in standard form

Calculate the equation of the line in standard form?

Two parallel lines have the same slope,  to compute the slope (m) of the equation 3x+2y=19.  This can be obtained by converting the equation into slope-intercept form (i.e., y=mx+b, where m is the slope):

by subtracting 3x from both sides, and then simplifying:

3x+2y-3x=19-3x

     2y     =-3x+19

Then, let's divide both sides by 2, to obtain slope-intercept form:

      y      = (-3/2)x+(/2)     From this, we know that the slope (m) is -3/2

To determine the equation of the line we're being asked to solve for.  If we know the slope (in this case m=-3/2) along with any given point on the line ((x0,y0); in this case (4,1)), the equation of the line can be determined as y-y0=m(x-x0)

So substituting, the equation of the line is y-1=(-3/2)(x-5)

We now need to put this into standard form, with both x and y terms on the left side of the equation:

First, distribute the 3/2 on the right side:  y-1=(-3/2)x+(3/2)5  or y-1

= (-3/2)x+6

Next, add (3/2)x to both sides, add 1 to both sides, and simplify:

(3/2) x + y = 5

multiply both sides by 2, to eliminate the fraction (3/2): 3x+2y = 10 This is the equation of the new line in standard form

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A rectangle is 7 times as long as it is wide. The perimeter is 32 feet. Find the dimensions.The length isfeet where the width isfeet.

Answers

Let l and w be the length and width of the rectangle, respectively.

Therefore, according to the question,

[tex]\begin{gathered} l=7w \\ and \\ P=32 \\ P=2l+2w \end{gathered}[/tex]

Therefore, solving for l and w,

[tex]\begin{gathered} l=7w \\ 2(l+w)=32 \\ \Rightarrow l=7w,l+w=16 \\ \Rightarrow7w+w=16 \\ \Rightarrow w=2 \\ and \\ \Rightarrow l=7*2=14 \end{gathered}[/tex]The answer is length=14ft, width=2ft

What property is used to solve 9x + 5 = 21 and 9x + 5 -5 = 21 - 5

Answers

Problem

What property is used to solve 9x + 5 = 21 and 9x + 5 -5 = 21 - 5

Solution

9x +5 =21

If we subtract 5 in both sides we got:

9x +5-5 =21-5

Subtraction property of equality

determine whether the given numbers are solutions of the inequality 2t +6 <4-t a 0 b 1 c -3 d 5

Answers

[tex]\begin{gathered} 2t+6<4-t \\ 2t+t<4-6 \\ 3t<-2 \\ t<-\frac{2}{3} \end{gathered}[/tex]

The value of t must be less than -2/3, that is, the correct answer must be a negative number, in this case it would be the letter C) -3

5x+10+11x+2=58 please help i’m confused

Answers

Simplifying
5x + 10 + 11x + 2 = 58

Reorder the terms:
10 + 2 + 5x + 11x = 58

Combine like terms: 10 + 2 = 12
12 + 5x + 11x = 58

Combine like terms: 5x + 11x = 16x
12 + 16x = 58

Solving
12 + 16x = 58

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12' to each side of the equation.
12 + -12 + 16x = 58 + -12

Combine like terms: 12 + -12 = 0
0 + 16x = 58 + -12
16x = 58 + -12

Combine like terms: 58 + -12 = 46
16x = 46

Divide each side by '16'.
x = 2.875

Simplifying
x = 2.875

Answer:

x = [tex]\frac{23}{8}[/tex] or 2 [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

1. Add the numbers

10 + 2 = 12

5x+12+11x = 58

2. Combine like terms

5x + 11x = 16x

16x+12 = 58

3. Subtract 12 from both sides

16x + 12-12 = 58-12

x = [tex]\frac{23}{8}[/tex]

During a sale, a store offered a 15% discount on a stereo system that originally sold for $400. After the sale the discount price of the stereo system was marked up by 15%. To the nearest whole number, what percent of the original price was the price after mark up

Answers

Problem Statement

We are told a store offers 15% discount on the sale of a stereo originally costing $400. After the sale, the new price is marked up by 15%.

We are asked to find what percentage of the original price is the new marked up price.

Method

T

Given that P(B AND A)=0.07 and P(B|A)=0.20, what is P(A)?

Answers

Answer: P A is paranthathesis add

Step-by-step explanation: so frist u do ( + ( = ((

then ((-)))=-)

(1 point) Use the figure below to estimate the indicated derivatives. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp corner at x=2. The graph of g(x) is blue.
Let j(x)=g(x)f(x). Find
j'(3)

Answers

Applying the quotient rule, the derivative of the given function at x = 3 is of -2/3.

What is the quotient derivative rule?

A quotient function is defined as follows:

i(x) = g(x)/f(x)

Applying the quotient rule, the derivative of the function defined above is of:

i'(x) = [g'(x)f(x) - f'(x)g(x)]/f(x)².

Hence, at x = 3, the numeric value of the derivative is given as follows:

i'(3) = [g'(3)f(3) - f'(3)g(3)]/f(3)².

Function f(x) is a linear function with slope of -3/2, hence:

f'(3) = -3/2 (for a linear function, the derivative is constant).f(3) = 3/2 (from the graph).

Function g(x) is a linear function with slope of -1/2, hence:

g'(3) = -1/2.g(3) = 1/2.

Then the derivative is given as follows:

[tex]g^{\prime}(3) = \frac{-\frac{1}{2} \times \frac{3}{2} - \frac{3}{2} \times \frac{1}{2}}{\left(\frac{3}{2}\right)^2} = -\frac{\frac{6}{4}}{\frac{9}{4}} = -\frac{6}{9} = -\frac{2}{3}[/tex]

Hence the numeric value of the derivative at x = 3 is of -2/3.

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You order seventeen burritos to go from a Mexican restaurant, eight with hot peppers and nine without. However, the restaurant forgot to label them. If you pick three burritos at random, find the probability of the given event.

Answers

The probability of at most two hot peppers = 0.918

Total number of burritos ordered = 17

Number of burritos with hot peppers = 8

Number of burritos without hot pepper = 9

Number of burritos picked = 3

We need to find the probability of the event that at most two have hot peppers.

At most two have hot peppers means either there is one with hot pepper or there are two with hot pepper. So there should not be 3 burritos all with hot peppers.

Thus we can rewrite the probability that at most 2 out of 3 burritos are with hot peppers as, Total probability - the probability that all 3 burritos are with hot peppers.

So the probability that all three burritos are with hot peppers = P(3 with hot peppers)  = (8C3x9C0)/17C3

                       = 56 x 1/680

                       = 0.082

Then the probability that at most two burritos out of three are with hot peppers = 1 - P(3 with hot peppers)

              = 1 - 0.082

              = 0.918

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f(x)=ln(2x+1) inverse

Answers

Answer:

f−1(x)=ex+11−2ex

Step-by-step explanation:

Let y=f(x)=ln(x−1)−ln(2x+1). ⇒y=ln(x−12x+1). ⇒x−12x+1=ey. ⇒2xey+ey=x−1. ⇒x(1−2ey)=ey+1.

Kira, Justin, and Reuben have a total of $82 in their wallets. Kira has $10 more than Justin. Reuben has 2 times what Kira has. How much do they have in their wallets?

Answers

Kira have $23 in his wallet.

Justin have $13 in his wallet.

Reuben have $46 in his wallet.

Given,

There are three persons, Kira, Justin, Reuben.

The total amount in their wallet = $82

The amount in Justin's wallet = x

The amount in Kira's wallet = x + 10

The amount in Reuben's wallet = 2(x + 10)

We have to find the amount in their wallets.

Here,

x + x + 10 + 2(x + 10) = 82

2x + 10 + 2x + 20 = 82

4x + 30 = 82

4x = 82 - 30

x = 52/4 = 13

Now,

The amount in Justin's wallet = x = $13

The amount in Kira's wallet = x + 10 = 13 + 10 = $23

The amount in Reuben's wallet = 2(x + 10) = 2(13 + 10) = 2 × 23 = $46

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HELP ASAP!!
Find the product of (x − 6)^2 and is the product a polynomial.
x^2 − 12x + 36; is a polynomial
x^2 − 12x + 36; may or may not be a polynomial
x^2 − 36; is a polynomial
x^2 − 36; may or may not be a polynomial

Answers

Answer:  Choice A

x^2-12x+36; is a polynomial

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

Explanation:

Use the rule that (A-B)^2 = A^2 - 2AB + B^2 to show (x-6)^2 = x^2-12x+36 is an identity. In this case, A = x and B = 6

You could also use the FOIL rule or the distributive property as two alternatives.

The result is a polynomial because it consists of summing or subtracting various monomials. If we had terms that had say exponents of decimal numbers or negative values, then we wouldn't have a polynomial.

Suppose y varies directly with x.When x is 7,y is 21 Write the equation that relates x and y

Answers

Answer:

[tex]y=3x[/tex]

Explanation:

Given that y varies directly with x, we have:

[tex]\begin{gathered} y\propto x \\ \Rightarrow y=kx \end{gathered}[/tex]

Where k is constant.

When x = 7, y = 21. From here, we can obtain the value of k

21 = 7k

k = 21/7 = 3

Since k = 3, the equation that relates x and y is:

[tex]y=3x[/tex]

If you are selling your house with a local realtor who requires a 5% commission fee, what can you expect to pay the realtor if your house sells for $176,000?

Answers

given data:

The cost of house is $176000.

The percentage the house realtor requires is 5%.

That is,

[tex]\begin{gathered} \frac{5}{100}\times176000 \\ =8800 \end{gathered}[/tex]

Thus 5% of 176000 is 8800.

Thus, you need to give $8800 to the local realtor.

If a 45-gal hot water tank holds 375 lb of water, what weight of water will a 55-gal tank hold? (Round to the nearest pound.)

Answers

Given:

A 45-gal hot water tank holds 375 lb of water.

[tex]\begin{gathered} 45\text{ gal }\rightarrow375\text{ lb} \\ 55\text{ gal}\rightarrow x?\text{ lb} \end{gathered}[/tex]

To find the values of x,

[tex]\begin{gathered} \frac{45}{375}=\frac{55}{x} \\ 45x=55\cdot375 \\ 45x=20625 \\ x=458.33\text{ lb} \end{gathered}[/tex]

Answer: The weight of water which will hold 55 gal tank is 458 lb.

Question 15Please answer quickly, i don’t need much explanation and just want this to be done so I can use it as an example

Answers

SOLUTION:

Step 1:

In this question Number 15, we are given the following:

Is 21.23 a rational number Show evidence

Answers

Answer:

Yes, 21.23 is a rational number.

[tex]21.23=\dfrac{2123}{100}[/tex]

Step-by-step explanation:

Terminating decimal numbers are decimals that have a finite number of decimal places.

A Rational Number is the division of an integer by another integer.

Therefore, 21.23 is a terminating decimal since it has a finite number of decimal places.

Let x be the rational number.

[tex]\implies x=21.23[/tex]

Multiply both sides by 100 so that the right side is an integer:

[tex]\implies 100x=2123[/tex]

Divide both sides by 100:

[tex]\implies x=\dfrac{2123}{100}[/tex]

(This fraction cannot be reduced any further).

Therefore, we have proved that 21.23 is a rational number.

Answer:

It is a rational number.

Step-by-step explanation:

Given value,

→ 21.23

Converting into rational number,

→ (21.23/1) × (100/100)

→ (21.23 × 100)/(1 × 100)

→ 2123/100

Hence, it is a rational number.

Given point Q equals negative 6 radical 3 comma negative 6 in rectangular coordinates, what are the corresponding polar coordinates?

Answers

Given the rectangular coordinates of point Q:

[tex]Q(-6\sqrt{3},-6)[/tex]

You need to remember that the form from rectangular oordinates to polar coordinates is:

[tex](x,y)\rightarrow(r,\theta)[/tex]

By definition:

[tex]\begin{gathered} r=\sqrt{x^2+y^2} \\ \\ \theta=tan^{-1}(\frac{y}{x}) \end{gathered}[/tex]

In this case, you can identify that:

[tex]\begin{gathered} x=-6\sqrt{3} \\ y=-6 \end{gathered}[/tex]

Then, you can determine that:

[tex]\begin{gathered} r=\sqrt{(-6\sqrt{3})^2+(-6)^2}=12 \\ \\ \theta=tan^{-1}(\frac{-6}{-6\sqrt{3}})=\frac{5\pi}{6} \end{gathered}[/tex]

Therefore, the polar coordinates are:

[tex](12,\frac{5\pi}{6})[/tex]

Hence, the answer is: Second option.

What is the value of z for the equation fraction 1 over 4z = −fraction 7 over 8 + fraction 1 over 8z? −3−737

Answers

-7

Explanation

Step 1

given

[tex]\frac{1}{4}z=-\frac{7}{8}+\frac{1}{8}z[/tex]

subtrac (1/4)z in both sides

[tex]\begin{gathered} \frac{1}{4}z=-\frac{7}{8}+\frac{1}{8}z \\ \frac{1}{4}z-\frac{1}{4}z=-\frac{7}{8}+\frac{1}{8}z-\frac{1}{4}z \\ 0=-\frac{7}{8}-\frac{1}{8}z \end{gathered}[/tex]

Step 2

add 7/8 in both sides

[tex]\begin{gathered} 0=-\frac{7}{8}-\frac{1}{8}z \\ 0+\frac{7}{8}=-\frac{7}{8}-\frac{1}{8}z+\frac{7}{8} \\ \frac{7}{8}=-\frac{1}{8}z \\ \end{gathered}[/tex]

finally, multiply both sides by -8 in order to isolate z

[tex]\begin{gathered} \frac{7}{8}=-\frac{1}{8}z \\ \frac{7}{8}*-8=-\frac{1}{8}z*-8 \\ -7=z \end{gathered}[/tex]

therefore, the answer is

-7

I hope this helps you

Which experession is equivalent to 4(9+7)

Answers

Answer:

64

Step-by-step explanation:

9+7=16

16(4)=64

If you travel southeast from one city to another city that is 314 km away, and the trip takes you 4.00 hours, what is your average velocity?​

Answers

Answer:

78.5

Step-by-step explanation:

i just know

EFG and GFH are a linear pair, mEFG = 2n +17, and mGFH = 4n +31. What are mEFG and mGFH?​

Answers

mEFG and mGFH is 61 and 119 respectively.

What is linear pair of angle?

Linear pair of angle are formed when two lines intersect each other at a single point and sum of angles of linear pair is always 180.

given, mEFG = 2n+17 and mGFH = 4n+31 and they both are linear.

Hence,

mEFG+mGFH = 180

2n+17+4n+31 = 180

6n+48=180

6n = 132

n = 22

hence, mEFG = 2(22)+17= 61 and mGFH = 4(22)+31 = 119

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You were using a ladder at your construction job. You started off at ground level and climbed down 10 feet to see the basement. Then you climbed up 20 feet to see the second floor. Finally, you climbed down 9 feet. What is your height relative to ground level?

Answers

Answer:

1 foot above the ground, positive 1

Step-by-step explanation:

you start at ground level let's call that 0

you go 10 down 0-10=-10

Now you climb up 20 feet so -10+20=10

Then you finally climb down 9 feet and 10-9=1

So you are one foot above the ground.

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