eight packs of pencils and two packs of crayons cost $30.if 7 packs of crayons cost $21, what is the ratio of the rice of the pack of crayons to the price of the packs fo pencils?

Answers

Answer 1
p = number of pencil packs c = number of crayon packs

8p + 2c = 30
7c = 21

c = $3
One pack of crayons costs $3.00

Plug 3 into the top equation for the value of c and evaluate for p.
8p + 6= 30
- 6= -6
8p = 24
p = $3
One pack of pencils costs $3.00

The ratio of the price of the pack of crayons to the pack of pencils is 1:1.

Related Questions

Please help as I’m confused
Try and do 2, as I’m not bothered if you guys can’t do all 3 :)

Answers

Answer:

the formula is base x height / 2

Step-by-step explanation:

try and use this formula to help you:)

60 is 25% of what number

12 is 24% of what number

Answers


60 is 25% of 240 and 12 is 24% of 50

25% is a fourth of 100%. So you want to find what number 60 is a fourth of. Multiply 60 by 4.
60x4=240

24% is 4.17th of 100%. Multiply 12 by 4.17
12x4.17=50

find the factor 12n-18

Answers

Answer:

Hope this helps!!!

Step-by-step explanation:

6(2−3)

Answer:

6(2n - 3)

Step-by-step explanation:

what is the difference of (5,-4) (3,-11)

Answers

The correct answer is (-2,-7)

Answer:

-8

Step-by-step explanation:

6 1 message Noah's dog eats 8 ounces of dog food each day. Noah bought a 28-pound bag of dog food. How many 8-ounce servings are in a 28-pound bag of dog food?

Answers

Answer:56
Explanation: 28 pounds = 448 ounces
448/8=56

Divide: StartFraction 5 Over 8 EndFraction divided by three-fourths One-eighth StartFraction 5 Over 6 EndFraction Three-fourths 1 and one-half

Answers

Answer:

the answer is 5 over 6

Step-by-step explanation:

well, you Start the Fraction with 5 Over 8 and End the Fraction divide by three-fourths One-eighth Start the next Fraction 5 Over 6 and End the Fraction Three-fourths 1 and one-half and the answer is 5/6

A scientist is studying the effects of cell phone use on headache rate. She identifies 30 people who use cell phones and 30 who do not. Each of the 60 people is given a questionnaire designed to determine headache frequency. None of the 60 people who participated in the study knew they were part of a study. Which statement is true?

Answers

Answer:

C this is a double blind study.

Step-by-step explanation:

Both groups in the experiment are blind (don't know they are in an experiment). If this answer is incorrect then its A.

Answer:

observational study

Step-by-step explanation:
the experimenters are not blind to their own tests.

−p^3 −5p−9
Select all coefficients.

Answers

Answer:

k

Step-by-step explanation:

k

Change 5 - 2 into an addition problem using a change in sign and the additive inverse.

(Step 1: change the minus sign to a plus sign. Step 2: change the second number in the

problem to its opposite (additive inverse].)

Answers

9514 1404 393

Answer:

  5 + (-2)

Step-by-step explanation:

starting with: 5 - 2

step 1: 5 + ( )

step 2: 5 + (-2)

∠1 and ∠2 are a linear pair. If the m∠2 = 33°, find the m∠1.

Answers

Answer:

157 degrees

Step-by-step explanation:

A linear pair is 180 degrees.

180-33 = 157

Answer:

m∠1 = 147°

Step-by-step explanation:

Since both angles are a linear pair, they both add up to 180°. This means that if m∠2 = 33°, then m∠1 would be 180°-33° which is 147°.

180°-33°=147°

PLEASEEEEEEEEEE ANSWER QUICK WILL GIVE BRAINLIST

Answers

Answer:

102

Step-by-step explanation:

1.2*85=102

Answer:

Step-by-step explanation:

A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas

B. If you are using the 102 pizzas:

65/102= 63.73% of the 102 pizzas so a decrease.

If  you are going by the 85 pizzas:

65/85= 74.47% decrease from original 65 pizza

chris can type 490 words in 7 minutes how many word can he type per minute

Answers

Answer:

i think 70 words per minute

Step-by-step explanation:

help please
3/11 × 4/9 =​

Answers

Answer:

4/33

Step-by-step explanation:

Multiply 3x4 across which equals 12

Multiply 11x9 across which equals 99

Simplify to equal 4/33

Hope this helps!! :)

Answer:

Exact Form:

433

Decimal Form:

0.¯¯12¯¯

Step-by-step explanation:

Draw a number line model to determine -16 + -0.7

Answers

Answer:

the answer is -16.7

Step-by-step explanation:

i did the math 16 + .7 =-6.7  answer -16.7

There are 5,000 sheets of paper in 25 boxes. if each
box contains the same number of sheets of paper, how many sheets of paper are in each box?​

Answers

Answer:

200 sheets

Step-by-step explanation:

Divide 5,000 by 25 to get 200 sheets of paper per box.

Answer:

750 pieces of paper

Step-by-step explanation:

can't

DEPERATE PLZ HELP IM ON A TIMED TEST

write the slope intercept form of the line that passes through the two points given (-1,-8) (2,10)

Answers

Answer:

y = 6x - 2

Step-by-step explanation:

Let the equation of the line be y = mx + c

m = (10 - (-8))/(2 - (-1)) = 6

sub (2, 10):

10 = 6(2) + c

c = -2

therefore, the equation of the line is y = 6x - 2

This is a question on coordinate geometry/graphs. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

X^3-4x^2+3x+2=0 find all the real values of x

Answers

Step-by-step explanation:

The factor of the polynomial is (x-2)

We know that dividing a third degree polynomial by a first degree factor will yield a quadratic of the form ax²+bx+c and possibly a remainder r,except that in this case r=0 since x-2 is a factor

We therefore equate

x³-4x²+3x+2=(x-2)(ax²+bx+c)+r

x³-4x²+3x+2=ax³+bx²+cx-2ax²-2bx-2c+r

We group terms on the RHS

x³-4x²+3x+2=ax³+x²(b-2a)+x(c-2b)-2c+r

By equating the terms on both sides,

ax³=x³,a=1

Next,

b-2a=-4

b-2(1)=-4

b-2=-4

b=-4+2

b=-2

Next,

c-2b=3

c-2(-2)=3

c+4=3

c=-1

Now we piece together our quotient quadratic using a=1,b=-2,c=-1 to obtain x²-2x-1

We now find the zeros of x²-2x-1

which are 1+√2 and 1-√2

The values of x are therefore 2,1+√2, and 1-√2

Note that I used this method in lieu of the famous polynomial division approach to teach someone also ;)

Answer:

2, 1 +/- sqrt2

or 2, 2.414, -0.414 (correct to the nearest thousandth).

Step-by-step explanation:

Let x = 2: then

f(2) = 8 - 16 + 6 + 2 = 0

So x = 2 is one  of the zeros.

So one factor of the function is x-2.

If we divide  the function by  (x - 2) we get:

x-2)X^3-4x^2+3x+2(x^2-2x-1

     x^3- 2x^2

            -2x^2+3x

            -2x^2+4x

                       -x+2

                       -x+2

                        .......

So x^2-2x-1= 0

x = [-(-2 +/- sqrt(4 - 4*-1)] / 2

x = (2 +/- sqrt8) / 2

= 1 +/-sqrt8/2

= 1 +/- sqrt2

Find the opposite of each integer 0

Answers

Answer:

Thats not a full question.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

The ordered pairs in the table below define a function.

X Y
-2 9
0 5
2 1
4 -3

Select ALL of the equations that describe a function that is less steep than the function defined in the table.

⭕️ Y= 5
⭕️ Y = -3x
⭕️ Y = -x+6
⭕️ Y= -6x+3
⭕️ Y = -1/2x-4

Answers

Answer:

The 1st, the 4th, and the 5th ones are the answer :)

Step-by-step explanation:

Plzzzzz help asappppppp

Answers

The measure of angle 7 is 61 degrees by the Alternate interior angles theorem.

The alternate interior angles theorem states that, the alternate interior angles are congruent when the transversal intersects two parallel lines. Hence, it is proved. Alternate interior angles can be calculated by using properties of the parallel lines.

Archaeologists are studying a shipwreck on the

ocean floor. The wreck site is roughly shaped like a

parallelogram. The archaeologists make a map of the

site in the coordinate plane. Each unit on the map

represents 1 m. According to the map, what is the

area of the wreck site?

Answers

Apologies, but there is no map...?

The area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.

What is parallelogram?

In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

Archaeologists are studying a shipwreck on the ocean floor. The wreck site is roughly shaped like a parallelogram.

From the table:

The vertex of the P is (9, 2)

The vertex of the Q is (-8, 2)

The vertex of the R is (-7, 7)

The vertex of the S is unknown

From the distance formula we can find the distance between points P and Q:

The distance formula can be defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\rm PQ = \sqrt{(-8-(-9))^2+(2-2)^2}[/tex]

PQ = 17 units

[tex]\rm QR = \sqrt{(-7-(-8))^2+(7-2)^2}[/tex]

QR = 5.09 ≈ 5 units

The area of the wreck site = 17x5

The area of the wreck site = 85 square m

Thus, the area of the wreck site is 85 square m if Archaeologists are studying a shipwreck on the ocean floor.

Learn more about the parallelogram here:

brainly.com/question/1563728

#SPJ2

PLs, help me - an international company has 18,700 employees in one country. If this represents 32.8% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.


Answers

Answer:

33.6% of X = 26800

 

X = 26800 / 33.6%  

 

   = 26800 / 0.336

 

  = 79762

 

Note the answer is rounded

Step-by-step explanation:

33.6% of X = 26800

 

X = 26800 / 33.6%  

 

   = 26800 / 0.336

 

  = 79762

 

Note the answer is rounded

Hurry i need help!!!!!

Answers

Answer:

Sorry i would help but the paper is unclear

Step-by-step explanation:

Consider the triangle.

The measures of the angles of the triangle are 32°, 53°, 95°. Based on the side lengths, what are the measures of each angle?


A)mAngleA = 95°, mAngleB = 53°, mAngleC = 32°

B)mAngleA = 32°, mAngleB = 53°, mAngleC = 95°

C)mAngleA = 43°, mAngleB = 32°, mAngleC = 95°

D)mAngleA = 53°, mAngleB = 95°, mAngleC = 32°

(Make sure to explain how you solved this problem and include things to remember when measuring angles like this. Thank you!)

Answers

Answer:

b

Step-by-step explanation:

edge 2020

Gabriella invested $73,000 in an account paying an interest rate of 3%
compounded continuously. Mila invested $73,000 in an account paying an interest
rate of 3% compounded quarterly. After 5 years, how much more money would
Gabriella have in her account than Mila, to the nearest dollar?

Answers

Answer:

Gabriella will make $61 more than Mila after 5 years

Step-by-step explanation:

Gabriella Data

Principal Amount P= $73,000

Rate r = 3% or 0.03

Compounded continuously

Time t = 5 years

The formula used is: [tex]A=Pe^{rt}[/tex]

Putting values and finding A

[tex]A=Pe^{rt}\\A=73000e^{0.03*5}\\A=73000e^{015}\\A=84813.899\\A\approx84814[/tex]

So, After 5 years Gabriella will have $84814

Mila Data:

Principal Amount P= $73,000

Rate r = 3% or 0.03

Compounded quarterly n = 4

Time t = 5 years

The formula used is:[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Putting values and finding A

[tex]A=P(1+\frac{r}{n})^{nt}\\A=73000(1+\frac{0.03}{4})^{4*5}\\A= 73000(1+0.0075)^{20}\\A= 73000(1.0075)^{20}\\A=73000(1.161)\\A=84753[/tex]

So, After 5 years Mila will have $84753

Now subtracting to find the difference 84814-84753 = 61

So, Gabriella will make $61 more than Mila after 5 years

What is the slope through
the points (1,-2) and (2,-2)?

Answers

Answer: 0

Step-by-step explanation:

The answer is zero.

- 1/2(6p+16)=7 solve for p

Answers

Answer:

p = -5

Step-by-step explanation:

-1/2* 6 = -3p

-1/2*16 = -8

-3p-8 = 7

7+8 = 15

-3p=15

15/-3 = -5

Step-by-step explanation:

p

2

+6p−16

=p

2

+8p−2p−16

=p(p+8)−2(p+8)

=(p+8)(p−2)

In △BCD, H is the centroid. If HF=6 find BF.

Answers

Answer:

18

Step-by-step explanation:

The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex

So HF=⅓BF

So BF=3xHF=3x6=18

-2x + 4>8 which number line shows the solution to the inequality

Answers

Answer:

The answer is D since it equals

x < -2

Answer:

Dw I gotchu. It's D because it' the most reasonable for this problem.

I need help asparagus is it a b c d please help me

Answers

Answer:

A

Step-by-step explanation:

Answer is C
6 + (3 - 5x) = 6 + 3 - 5x = 9 - 5x
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