Mathematics Middle School

on monday, it took helen 3 hours to do a page of homework. the next day she did the same number of exercises in 2 hours. if her average rate on monday was P exercises per hour, what was her average rate the next day in terms of P

please don't just answer, explain HOW to set up equation

Answers

Answer 1
The average rate is the number of equations divided by the time to do them.

The number of equations is the rate multiplied by the time.

On Monday, the number of equations is
.. number = rate*time = P*3
On Tuesday, the rate is
.. rate = number/time = (3P)/2 . . . . . Helen's average rate on Tuesday

Related Questions

I don't quite remember how to do this check up

Answers

A calculator says,
a) account balance: $208.12, so interest earned = $8.12
b) account balance: $1040.60, so interest earned = $40.60
c) account balance: $83,248.32, so interest earned = $3,248.32

_____
The compound interest multiplier for one year is (1 +r/n)^n, where r is the annual rate and n is the number of compoundings in a year. For this problem, you have r=.04, n=4.

James went on a vacation and bought 8 meals for $10 each, 2 basketball tickets for $45 each, 2 baseball jerseys for $65each. Write an equation that represent the situation

Answers

So 8 meals for $10 each , 2 tickets for $45 each, and 2 jerseys for $65 each
So (8x10) + (2x45) + (2x65) is the equation
And the answer is $300 because 8x10 is 80, 2x45 is 90, 2x65 is 130 and if you add it all up you'll get $300
80 + 90 = 170 + 130 = 300

Hope this helps! :) 

The measure of angle QPR = ??? degrees

Answers

The measure of angle QPR is 30 degrees

what is the value of z, rounded to the nearest tenth? use the law of sines to find the answer.
A) 2.7 units
B) 3.2 units
C) 4.5 units
D) 5.3 units

Answers

We can change the law of sines a little bit to match our problem.

[tex]\sf\dfrac{sin(X)}{x}=\dfrac{sin(Y)}{y}=\dfrac{sin(Z)}{z}[/tex]

We know what angle Y is and what side y is, so let's use that along with angle Z and side z:

[tex]\sf\dfrac{sin(Y)}{y}=\dfrac{sin(Z)}{z}[/tex]

Plug in what we know:

[tex]\sf\dfrac{sin(51)}{2.6}=\dfrac{sin(76)}{z}[/tex]

Multiply 'z' to both sides:

[tex]\sf\dfrac{sin(51)}{2.6}z=sin(76)[/tex]

Divide sin(51)/2.6 to both sides:

[tex]\sf z=\dfrac{sin(76)(2.6)}{sin(51)}[/tex]

Plug it into your calculator.

[tex]\boxed{\sf z\approx 3.2}[/tex]

The value of z is 3.2 units.

What is the law of sines?

The law of sine or the sine law states that the proportion of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides. It is additionally known as the sine rule.

For a triangle ABC the law of sine will be,

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

In triangle XYZ given here,

The law of sine can be written as,

[tex]\frac{x}{sinX} =\frac{y}{sinY} =\frac{z}{sinZ}[/tex]

here ∠Y and ∠Z is given so we write

[tex]\frac{y}{sinY} =\frac{z}{sinZ}[/tex]

y=2.6

∠Y=51°

∠Z=76°

sin51°≈0.78

sin76°≈0.97

[tex]\frac{y}{sinY} =\frac{z}{sinZ}[/tex]

[tex]2.6/0.78=z/0.97[/tex]

[tex]z=3.2 units[/tex]

To learn more about the laws of sine please follow : brainly.com/question/16786029

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estimate the quotient of 88.9 ÷ 15.1

Answers

88.9 is close to 9015.1 is close to 15The idea of an estimate is to do the math without a calculator. 90 / 15 is roughly 6.

There is something I should say that is critical. If you figure out the exact answer of 5.88, you are likely going to get it wrong. This question asks you to round before you do a division. That's what estimate means.

Answer:

My answer is a because the the actual answer is 5.88741721854 but you said round it and i did it to 6 so yeah there is my answer. brainliest please

Step-by-step explanation:

What is the perimeter of AEB

Answers

Answer:
18.5 ft

Explanation:
part (a): getting the value of AE:
The two triangles AEB and DEF are similar. Therefore, we can make use of the similar proportionality as follows:
AE / DE = BE / FE
Now, we have:
AE is the unknown we want to find
DE = AE + 2
BE = 7.8 ft
FE = 7.8 + 2.4 = 10.2 ft

Substitute in the above relation and get the value of AE as follows:
AE / DE = BE / FE
AE / (AE+2) = 7.8 / 10.2
10.2 AE = 7.8 AE + 15.6
2.4 AE = 15.6
AE = 6.5 ft

Part (b): getting the perimeter of AEB:
perimeter = AE + EB + AB
perimeter = 6.5 + 7.8 + 4.2
perimeter = 18.5 ft

Hope this helps :)

Answer:

18.5 ft

Step-by-step explanation:

Explanation:

part (a): getting the value of AE:

The two triangles AEB and DEF are similar. Therefore, we can make use of the similar proportionality as follows:

AE / DE = BE / FE

Now, we have:

AE is the unknown we want to find

DE = AE + 2

BE = 7.8 ft

FE = 7.8 + 2.4 = 10.2 ft

Substitute in the above relation and get the value of AE as follows:

AE / DE = BE / FE

AE / (AE+2) = 7.8 / 10.2

10.2 AE = 7.8 AE + 15.6

2.4 AE = 15.6

AE = 6.5 ft

Part (b): getting the perimeter of AEB:

perimeter = AE + EB + AB

perimeter = 6.5 + 7.8 + 4.2

perimeter = 18.5 ft

Hope this helps :)

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the length of a rectangle is 5 / 2 units greater than twice its width. if it's width is w which expression gives the perimeter of the rectangle in terms of w

Answers

try 5/2 as a hole and a fraction and see if that helps any

Write an equation to represent each function. Help with these two

Answers

10y=x because if you multiply your y by 10, you would get the x
y10=x

I dont know for the second one

marta ha comprado una bicicleta que costaba 280 € pero le han hecho una rebaja del 15°/• cuanto ha pagado

Answers

Marta has paid €238.

The original price was €280, but the price was discounted by 15%.  

15% = 15/100 = 0.15.
15% of 280 is 0.15(280) = 42

This means the price was cut by €42.

280-42 = €238

How is the expression (3 + y) ⋅ 7 described by its factors and terms?

A: It has two factors and the factor (3 + y) has one term.
B: It has three factors and the factor (3 + y) has one term.
C: It has two factors and the factor (3 + y) has two terms.
D: It has three factors and the factor (3 + y) has two terms.
i will give you brainiest if right.

Answers

Answer: The correct answer is choice C.

First of all, there are two factors in the problem. They are the 2 things being multiplied together. They are 7 and (3 + y).

Second, there are two terms in the factor (3 + y). Terms are separated by an addition or subtraction sign. The 2 terms are 3 and y.

Terms are separated by an addition or subtraction sign. The 2 terms are 3 and y.

First of all, there are two factors in the problem.

They are the 2 things being multiplied together. They are 7 and

(3 + y).

What is the factors?

A divisor of an integer n also called a factor of n, is an integer m that may be multiplied by some integer to produce n.

Second, there are two terms in the factor (3 + y).

Terms are separated by an addition or subtraction sign. The 2 terms are 3 and y.

Therefore option C is correct.

To learn more about the expression visit:

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Can someone please help me on this one please? Thanks

Answers

Often, you will find your calculator is your friend when working problems like these.

If you want to work it by hand, convert all mixed numbers to improper fractions. Then multiply the numerator by the reciprocal (inverse) of the denominator.
  = (5/2)/(5/8) . . . . convert numerator to improper fraction
  = (5/2)*(8/5) . . . . invert the denominator and multiply
  = (5/5)*(8/2) . . . . rearrange to aid simplification
  = 4

The quotient is 4.

The table shows some ingredients in lasagna. If you make three times the recipe how many cups of cheese are needed. Can you please help me this is my homework for tomorrow

Answers

If each cup of cheese is 2 2/3 then you would need 3 of those

How to do a fraction paper

Answers

Step 1: Make sure the bottom numbers (the denominators) are the same.Step 2: Add the top numbers (the numerators), put the answer over the denominator.Step 3: Simplify the fraction (if needed)

Canada is the king of the doughnut world, as it has more doughnut shops per capita than any other country in the world. Tim Hortons, the most popular doughnut joint in Canada, had 3660 locations in Canada in 2015. If the population of Canada was approximately 35.75 million citizens in 2015, what was the number of Tim Hortons stores per capita in Canada in 2015?
Express your answer in scientific notation rounded correctly to three decimal places.

Answers

The correct answer is 1.024 x 10^-4.

Per capita means the number of schools per person. There are more people than stores, so the number must be lower than 1.

To find the rate, we divide the total number of stores by the population.

3660 / 35750000 = .0001024 = 1.024 x 10^-4

Answer:

Number of Tim Hortons stores per capita is [tex]1.024\times 10^{-4}[/tex]

Step-by-step explanation:

Canada is having more doughnut shops per capita than any other country in the world means availability of Horton's store per person are more.

Number of Hortons stores in Canada = 3660

Population of Canada in 2015 = 35.75 million

In scientific notation population = [tex]35.75\times 10^{6}[/tex]

Now stores per person = [tex]\frac{3660}{35.75\times 10^{6}}[/tex]

(To calculate stores per capita we will divide number of stores by population of Canada)

Stores per capita = [tex]102.377\times 10^{-6}=1.024\times 10^{-4}[/tex]

So the answer is [tex]1.024\times 10^{-4}[/tex]

An airplane flying at an altitude of 31,000 feet when it begins its descent for landing. If the runway is 104 miles away, at what angle does the airplane descend?

Answers

the angle the airplane descends is 3.23°

What is 27006 ÷ 42???

Answers

Your answer to this question is going to be 6 4 3

graph the linear equation find three points that solve the equation then plot on the graph -3y=-x-7

Answers


[tex] - 3y = - x - 7 \\ y = \frac{1}{3} x + \frac{7}{3} [/tex]
[tex] \binom{ - 1}{2} \: \: \: \: \: \: \binom{2}{3} \: \: \: \: \: \: \binom{5}{4} [/tex]
this is the line

Answer: (-7,0)  (2,3)  (5,4)

Step-by-step explanation:

m=-2, passes through (3,5)

Answers

5=3(-2) +b
5=(-6)+b
+6 +6
11=b

Coral created a painting that was 4 1/3 ft long and 1 1/3 ft wide.

What was the area of Coral's painting?
Express your answer in simplest form.


A.
ft²


B.
ft²


C.
ft²


D.
ft²

Answers

It is C because I know I am correct
It’s c because I think I’m right

Can someone please factor this out for me and explain how you do it? 9x^2+30xy+25y^2

Answers

so first I split 30xy into two numbers that were divisible by both 9 and 25, and that's how I got 15xy+15xy, after that it's just simple factorisation

ABCD is a square, what is the measure angle of BAC

Answers

45 degrees, you are cutting the right angle in half

Answer:

measure of ∠BAC  is  45°

Step-by-step explanation:

We have Square ABCD

we need to find the measure of ∠BAC

Let us take ΔBAC

We know that all the angles in a square is equal to  90°

Therefore ΔBAC is right angled triangle since  ∠ABC= 90°

Sum of angles in a triangle = 180°

∠ABC + ∠BCA + ∠BAC = 180°

90° + ∠BCA + ∠BAC =180°  ( since  ∠ABC= 90°)

∠BCA + ∠BAC =180° -90°  ( subtracting 90° from both sides)

∠BCA + ∠BAC = 90°

sides of square are equal so  AB = BC  and angles opposite to equal sides are equal hence ∠BCA = ∠BAC

so we have

∠BAC+∠BAC = 90°  

2∠BAC = 90°  

∠BAC = 45°   ( divide both sides by 2)

so we have measure of ∠BAC  is  45°  

In California, state sales tax rates vary by county. In Alameda County, the sales tax rate is 8 1/2%.
A t-shirt cost $12.99, and a pair of jeans cost $39.99. Rounded to the nearest cent, how much more is the tax on the jeans than the tax on the t-shirt?

Answers

The tax is 8.5%.
To find the tax on an item, multiply 8.5% by the price of the item.

t-shirt:
8.5% of $12.99 = 8.5% * $12.99 = 0.085 * $12.99 = $1.10
The tax on the t-shirt is $1.10

pair of jeans:
8.5% of $39.99 = 8.5% * $39.99 = 0.085 * $39.99 = $3.40
The tax on the jeans is $3.40

The difference in the amount of tax is

$3.40 - $1.10 = $2.30

Answer: $2.30

Use the figure to find the measures of the numbered angles.

Answers

6= 61°
1,3= 124°
that's all I got with the information there was

If ABC is similar to DEF, the sides of ABC must be congruent to the corresponding sides of DEF.

Answers

it's false.
the angles should be congruent
sides should be dilated by a scale factor

Answer:

Option B. False

Step-by-step explanation:

If triangle ABC is similar to DEF then for the similarity of these triangles all angles should be similar or same.

In addition to the angles their corresponding sides should be in the same ratio, in other words sides should be dilated by a scale factor.

Therefore the given statement is false.

Option B. False is the answer.

Does anyone know the answer?

Answers

Hey there! 

[tex]6^-^2 = \frac{1}{6(6)} = \frac{1}{(-6)^2} \\ \\ \\ \\ \\ = Answer: \frac{1}{36} \\ \\ \\ \\ \\ Good \\ Luck \\ on \\ your \\ assignment \\ \\ \\ \\ LoveYourselfFirst:)[/tex]

Note: just solve the exponent then work it out from there! 

How many lines of symmetry does this letter have? A. 0 B. 1 C. 2 D. 4 (its an S)

Answers

Does not have a line of symmetry. Answer is A: 0

No possible folds to have it match up unless you rip the fake S.
c.2 is the answer for this question

heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp

Answers

It's easiest to start with the point-slope form of an equation, [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is the point given.

We have m = 3, [tex]x_1 = 5[/tex], and [tex]y_1 = 10[/tex].

We plug in these values to get
[tex]y-10=3(x-5)[/tex].

We now rearrange to get this into slope-intercept form, [tex]y=mx+b[/tex], by solving for y.

[tex]y=3(x-5)+10\\y=3x-15[/tex]
Answer:
y = 3x - 5

Explanation:
The equation of the line in slope-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept

We are given that the slope is 3. Therefore, the equation now is:
y = 3x + c

Now, we need to get the value of c. To do so, we will substitute with the given point (5,10) in the equation and solve for c as follows:
y = 3x + c
10 = 3(5) + c
10 = 15 + c
c = 10 - 15
c = -5

Based on the above, the equation of the line is:
y = 3x - 5

Hope this helps :)

A trapezoid has 9.2 inches base and 3.5 inches base, as well as 17 inches height. What is the area?

Answers

107.95[tex] in^{2} [/tex]


The area of a trapezoid is as follows: 

A = [tex] \frac{a + b}{2} h[/tex]

A and B are the lengths of the parallel lines of trapezoids. The parallel lines in this problem are 3.5 and 9.2. After adding those and dividing by 2, we multiply 17 to find the area of the trapezoid. (This is also shown in the attached picture) 

what is the greatest amount of spinach she can buy

Answers

10 ÷ $3 = 9 1/3

Since she can't buy 1/3 of a spinach, the greatest amount she can buy is 9.

Hope this helps!

0.4 divided by -5/8 or -5/8xN=0.4 BUT LOOKING FOR N

Answers

Answer:

-0.64

Step-by-step explanation:

0.4 ÷ ([tex]-\frac{5}{8}[/tex]) = N

[tex]0.4 * -\frac{8}{5} [/tex] = N

N = -0.64

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