math quarterly
8th grade

Math Quarterly 8th Grade

Answers

Answer 1
the answer is 49

kindly check the attachment.
Answer 2

Answer:

the answer is 49

Step-by-step explanation:


Related Questions

the table below shows the cost of downloading songs from an online music store.

Answers

Answer:

I believe it's c because Greg downloaded 5 song which is 6.45 total then bought certain song at sale price Wich ended at 9.42

Given the table, write an equation in slope-intercept form.

Answers

Answer:

If you plot points accordingly to the points on the table, Option A. is correct.

|2x -8| < 2

a. 3 b. -5 c. x>5 or x<3
d. x>-3 or x<-5

Answers

Answer:

[tex]3 < x < 5[/tex]

Step-by-step explanation:

Given inequality:

[tex]|2x - 8| < 2[/tex]

[tex]\textsf{Apply absolute rule}: \quad \textsf{If }|u| < a\:\textsf{ when } \: a > 0,\: \textsf{then }-a < u < a[/tex]

[tex]\implies u=2x-8\: \textsf{ and }\:a=2[/tex]

[tex]\implies -2 < 2x-8 < 2[/tex]

Therefore:

[tex]\implies -2 < 2x-8[/tex]

[tex]\implies 6 < 2x[/tex]

[tex]\implies 3 < x[/tex]

And:

[tex]\implies 2x-8 < 2[/tex]

[tex]\implies 2x < 10[/tex]

[tex]\implies x < 5[/tex]

Merge the overlapping intervals:  [tex]3 < x < 5[/tex]

Proof

Graph:  [tex]y=|2x-8|[/tex]

Add a line at  [tex]y=2[/tex]

The interval that satisfies  [tex]|2x - 8| < 2[/tex]  is the area under the points of intersection (shaded area on the attached graph).

The values of x when [tex]y=|2x-8|[/tex] is less than 2 is more than x = 3 and less than x = 5.

|2x-8|<2

So

Case-1

2x-8<22x<2+82x<10x<5

Case-2

2x-8>-22x>6x>3

So solution is

3<x<5

1. Trig Function
2. Coordinate value (x, y)
3. Value in terms of sinθ and/or cosθ

sinθ = _________________

cosθ = _________________

secθ = _________________

cscθ = _________________

tanθ = _________________

cotθ = _________________

Answers

The values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = tanθ.cosθ

cosθ = sinθ/tanθ

secθ = 1/cosθ

cscθ = 1/sinθ

tanθ = sinθ/cosθ

cotθ = cosθ/sinθ

Trigonometric functions

From the question, we are to determine the values of the given trig functions in terms of sinθ and/or cosθ

sinθ

NOTE: tanθ = sinθ / cosθ

∴ sinθ = tanθ.cosθ

cosθ

From above, we can write that

cosθ = sinθ/tanθ

secθ

Secant is the inverse of cosine

∴ secθ = 1/cosθ

cscθ (cosecθ)

Cosecant is the inverse of sine

∴ cscθ = 1/sinθ

tanθ

tanθ = sinθ/cosθ

cotθ

Cotangent is the inverse of tangent
∴ cotθ = 1/tanθ

But, tanθ = sinθ/cosθ

∴ cotθ = cosθ/sinθ

Hence, the values of the given trig functions in terms of sinθ and/or cosθ are:

sinθ = tanθ.cosθ

cosθ = sinθ/tanθ

secθ = 1/cosθ

cscθ = 1/sinθ

tanθ = sinθ/cosθ

cotθ = cosθ/sinθ

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Simplify the expression |1/12 - 5/6| - (2/5 + 1/10)

Answers

Answer:

x+2

Step-by-step explanation:

x^2+x-7 = x+2

Answer:

The answer is 1/4!!

<3 love

The type of data that contains results from other people that are of similar age and gender is known as

Answers

The type of data that contains results from other people that are of similar age and gender is known as normative data.

What is normative data?

Normative data is a type of data that is observed that contains information about the characteristics of a population of interest. For example, normative data about students in a class would contain information such as age, gender, height.

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Please!!! Help!!! Brainliest of Right! it goes as 50 point in the end but i used 100 point if you help me i will help you!!

Answers

Answer:

2.  3.913 kg (3 dp)

3.  light cream

4.  240 CoffeeStops

5.  7 CoffeeStops per square mile

6.  2,861 cups of coffee each day

Step-by-step explanation:

Given:

Skim milk density at 20 °C = 1.033 kg/lLight cream density at 20 °C = 1.012 kg/l1 liter = 0.264 gallons

Question 2

[tex]\begin{aligned}\textsf{1 gallon} & = \sf \dfrac{1}{0.264}\:liters\\\\\implies \textsf{Mass (1 gallon of skim milk)} & = \sf Density \times Volume\\& = \sf 1.033\:kg/l \times \dfrac{1}{0.264}\:l\\& = \sf 3.913\:kg\:(3\:dp)\end{aligned}[/tex]

Therefore, the mass of 1 gallon of skim milk is 3.913 kg (3 dp)

---------------------------------------------------------------------------------------------

Question 3

Given:

Volume of liquid = 9 litersMass of liquid = 9.108 kg

[tex]\begin{aligned}\implies \sf Density & = \sf \dfrac{Mass}{Volume}\\\\& = \sf \dfrac{9.108\:kg}{9\:l}\\\\& = \sf 1.012\:kg/l \end{alilgned}[/tex]

Therefore, the container holds light cream.

---------------------------------------------------------------------------------------------

Question 4

Given:

15 CoffeeStops per 100,000 peoplePopulation of Manhattan ≈ 1,602,000 people

[tex]\begin{aligned}\implies \textsf{Number of Coffeestops} & = \sf \dfrac{population}{density}\\\\& = \sf \dfrac{1,602,000}{100,000/15}\\\\& = \sf \dfrac{1,602,000}{100,000} \times 15\\\\& = \sf 240.3\end{aligned}[/tex]

Therefore, there are 240 CoffeeStops.

---------------------------------------------------------------------------------------------

Question 5

Given

Manhattan ≈ 34 square miles

[tex]\begin{aligned}\implies \textsf{CoffeeStops density} & = \sf \dfrac{number\:of\:stores}{land\:area}\\\\& = \sf \dfrac{240}{34}\\\\& \approx \sf 7 \: \textsf{CoffeeStops per square mile}\end{aligned}[/tex]

Therefore, the density of CoffeeStops is 7 per square mile.

---------------------------------------------------------------------------------------------

Question 6

Given:

Each person buys 3 cups of coffee per week

[tex]\begin{aligned}\implies \textsf{Cups served each week} & = \textsf{number of people} \times \textsf{number of cups per week}\\& = \sf 1,602,000 \times 3\\& = \sf 4,806,000\: \textsf{cups per week}\\\\\implies \textsf{Cups per day} & = \sf \dfrac{\textsf{cups per week}}{\textsf{days in a week}}\\\\& = \sf \dfrac{4,806,000}{7}\\\\& = \sf 686,571\:\textsf{(nearest whole number)}\end{aligned}[/tex]

[tex]\begin{aligned}\implies \textsf{Cups served per day per shop} & = \dfrac{\textsf{cups per day}}{\textsf{number of shops}}\\\\& = \sf \dfrac{686,571}{240}\\\\& = \sf 2,861\: \textsf{(nearest whole number)} \end{aligned}[/tex]

Therefore, each Manhattan CoffeeStop serves approximately 2,861 cups of coffee each day.

Monique goes out for coffee once per week. she has already spent $40.86 this year on her coffees and each one is $4.54.
what is the first term of the sequence?
to get to the next term, you would_____
this is a _____ sequence
there are 27 weeks left in this school year for monique. if she continues getting coffee at this rate how much money will she have spent on coffee by the end of the year?

Answers

If Monique continues getting coffee at this rate then the money that she will have spent on coffee by the end of the year is $163.44.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is

Tₙ = a + (n-1)d

(for all positive integer values of n)

Given Monique goes out for coffee once per week. she has already spent $40.86 this year on her coffees and each one is $4.54. Therefore, the sequence can be written as,

4.54, 9.08, 13.62, 18.16, 22.7, 27.24, .........

Therefore,

The first term of the sequence is 4.54, To get the next term you need to add 4.54. This is an arithmetic sequence.

Since 9 weeks (40.86/4.54 = 9) are already over, and there are 27 more weeks, therefore, the spending till 36 weeks will be,

a₃₆ = 4.54 + (36-1)4.54

a₃₆ = 163.44

Hence, if Monique continues getting coffee at this rate then the money that she will have spent on coffee by the end of the year is $163.44.

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How many inches are in 12 feet?

Answers

Answer:

144 inches in 12 feet.

Step-by-step explanation:

There are 12 inches in 1 foot.

Find inches when you have 12 ft.

[tex]\frac{12feet}{1} *\frac{12 inches}{1 foot} = 144 inches[/tex]

Feet cancel out leaving inches.

There are 144 inches in 12 feet.

find the nature of the roots of the roots of the equation (x-705)(x-795)+800(x-750)(x-835)=0.

(A) Imaginary roots.
(B) Real and distinct.
(C) Real and equal.
(D) None.​

Answers

Answer:

B

Step-by-step explanation:

If you are allowed to use a graphing calculator, this can solve a lot of time. Graphing y = (x - 705)(x - 795) + 800(x - 750)(x - 835) gets us a parabola with x-intercepts of 749.97 and 834.924.

These roots are real and distinct, or choice B.

If you aren't allowed to use a graphing calculator, you can expand and combine like terms to get 801x^2 − 1269500x + 501560475. Looking at the discriminant, we see that (−1269500)^2 - 4*801*501560475 = 4630488100 is greater than 0 and not a perfect square, so it is real and distinct, or choice B.

I hope that helps!

Maria says the mean of the scores 7, 8, 3, 0, 2 is 5, because she added the scores and divided by 4. Is she correct? Explain why or why not.​

Answers

Answer:

She is wrong.

Step-by-step explanation:

The mean score is

7 + 8 + 3 + 0 + 2= 20

We then divide it by the number which is 5

20/5= 4.

Therefore, Maria is wrong.

This is because she divided by 4 instead of 5, as she didn't include the rational number 0.

Question 9 of 9
Which of the expressions are equivalent to the one below? Check all that
apply.
(15.3)-20
A. (3.15)-20
B. 20-(3.15)
C. 6 (15-20)
D. (3-20) (15-20)

Answers

I’m sure it’s a because when you minus 15.3 and 20 you get 3.15-20

Can anybody help me with this?

Answers

Answer:

  A

Step-by-step explanation:

The rate of change for the table is found using the slope formula. The rate of change for the linear function is the coefficient of x.

__

table

The slope formula tells us the rate of change is ...

  m = (y2 -y1)/(x2 -x1)

  m = (-9 -(-10))/(-1 -(-4)) = 1/3

equation

The coefficient of x in the equations of the offered answer choices are 1/4 and 6.

comparison

The relations between the various slopes are ...

  1/4 < 1/3 < 6

That is, the equation with a slope of 1/4 has a rate of change less than that of the function represented by the table:

  y = 1/4x +4 because ... table of values is 1/3

Bottles of water come in packages of 6. Cheese sticks come in packages of 10.

What is the least number of packages of each a person has to buy to have the same number of bottles of water and cheese sticks?

Drag and drop a number into each box to complete the statement.
That person needs to buy Response area packages of bottles water and Response area packages of cheese sticks.

Answers

Answer:

water: 5 packagescheese sticks: 3 packages

Step-by-step explanation:

The number of bottles of water and cheese sticks will be the same when both numbers are equal to the least common multiple (LCM) of 6 and 10, the numbers in each kind of package.

__

The LCM can be found by factoring out the greatest common divisor of each of the numbers:

  6 = 2 × 3

  10 = 2 × 5

The LCM is the product of the unique numbers here: 2 × 3 × 5 = 30.

The number of packages of bottles of water will be 30/6 = 5 packages.

The number of packages of cheese sticks will be 30/10 = 3 packages.

_____

Additional comment

You may notice that the number of packages of each kind is the unique factor in the other number.

what fraction is at point M?

Answers

Answer:

D

Step-by-step explanation:

because 3/10 is 0.3

Hope this helps!

m=p-2b/2
p=57.4
b=8.7

Answers

Given the value of p and b in the equation ((  p-2b ) / 2 ), the value of m is 20.

What is the value of m?

Given that;

m = ( p-2b ) / 2p = 57.4b = 8.7Value of m = ?

First, we substitute the value of p and b into the equation.

m = ( p-2b ) / 2

m = ( 57.4 - 2(8.7) ) / 2

m = ( 57.4 - 17.4 ) / 2

m = 40 / 2

m = 20

Given the value of p and b in the equation ((  p-2b ) / 2 ), the value of m is 20.

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if f(x)= 3x -2, find f-1(x)

Answers

Answer: 1/3x + 2/3

Step-by-step explanation:

f(x)= 3x - 2 =>

y= 3x - 2 =>

x= 3y - 2 =>

3y - 2= x =>

3y= x + 2 =>

y= 1/3x + 2/3 =>

f-1(x)=1/3x + 2/3

How many solutions does the equation below have? 1/(-6-8x) = -3- 1x​

Answers

Answer:

This equation has 2 solutions.

1. [tex]x=\frac{-15+\sqrt{89}}{8}[/tex]

2. [tex]x=-\frac{15+\sqrt{89}}{8}[/tex]

Select the correct answer from each drop-down menu.
veronica wants to cut a sheet of paper into squares with an area of 12 square inches. for the best approximation, the length of each side o
the square pieces of paper must be approximately equal to
inches. if each side were exactly this length, the area of each square
would be _____
square inches

Answers

Answer:3.46

Step-by-step explanation:i dont know the other one

find the solutions(s) to 9x^2-54x+0

Answers

Answer:

x = 6

x = 0

As shown, there are 2 values for x. The question is why, which we will go over in the explanation part.

Step-by-step explanation:

identify the coefficients

[tex]9x^2-54x=0\\a=9\\b=-54\\c=0[/tex]

coefficient a = 1

[tex]9x^2-54x=0\\9/9x^2-54x/9=0/9\\x^2-6x=0\\\rightarrow a=1\\\rightarrow b=-6\\\rightarrow c=0[/tex]

complete the square

[tex]b=-6\\(\frac{b}{2})^2=(\frac{-6}{2})^2\\(\frac{x}{y})^2=\frac{x^2}{y^2}\\=(\frac{-6}{2})^2=\frac{-6^2}{2^2}\\\frac{-6^2}{2^2}=\frac{36}{4}\\36 \div 4=9\\\\\downarrow\\\\x^2-6x=0\\x^2-6x+9=0+9\\x^2-6x+9=9\\\frac{b}{2}\\\frac{b}{2}=\frac{-6}{2}\\\frac{b}{2}=\frac{\left(-3\cdot 2\right)}{\left(1\cdot 2\right)}\\\frac{b}{2}=-3\\x^2-6x+9=9\\(x-3)^2=9\\[/tex]

solve for x

[tex](x-3)^2=9\\\sqrt{(x-3)^2}=\sqrt{9}\\x-3=+-\sqrt{9}\\x-3+3=3+-\sqrt{9}\\x=3+-\sqrt{9}\\x=3+-3\\x_1=6\\x_2=0[/tex]

≡ In the end, you have 2 values for x, because you can either subtract 3 by 3 or add 3 by 3 to get six or zero.

In an agricultural class, there are 17 freshmen students and 19 sophomore students. What ratio compares the number of freshmen to the number of sophomores (F:S), and what ratio compares the number of sophomores to the number of freshmen (S:F)

Answers

Answer:

Freshmen to sophomores - (17:19)

Sophomores to freshmen - (19:17)

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)


12. Round 2,870 to the nearest hundred.

Answers

Answer:

2900

Step-by-step explanation:

2,870 rounded up to the nearest hundred is 2900.Pls mark me as brainliest.

Daniel has read 10% of a book. He has 45 more pages to finish. How many pages are there in the book?​

Answers

Answer:

He read 10% of the book, so 90% remains to be read.  That 90% consists of 45 pages, so

45=0.90n

n= 45/0.90

n=50

There are 50 pages total in the book

Step-by-step explanation:

50 pages.

The 45 pages left is 90 percent of it.
If the 10% is _ pages then whatever that number is times 9 (bc of 90%) should be 45.
If u do the math 5 pages is 10%. 45+5=50 pages in total

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Answers

Answer:

-2

Step-by-step explanation:

For a straight-line graph, pick two points on the graph.

The gradient of the line = (change in y-coordinate)/(change in x-coordinate)

             (x, y)

Point 1: (2, 0)

Point 2: (3, 2)

Gradient = (change in y)/(change in x)

= (2 - 0) / (3 - 2)

= 2 / 1

= 2

Note: gradient is basically slope where slope = rise / run

Answer:

help has arrived its -2

Step-by-step explanation:

Given that m∠TSU = m∠SUQ, why is RT || UQ?

Answers

The answer to your question is option A

please answer! this is my final question

Answers

Answer:

C. 103,748

Step-by-step explanation:

The one in the first number is worth 10,000

The one in the Second number is worth 100,000

jeremy spends 3/4 of his check on paying bills and 15% on food if jeremy makes 500 $ how much money will he save


answer choices:
A. 375$
B. 50$
C. 125$
D. 85$

Answers

Hi I am here to help. Your answer is b.
I got it by taking 15% off of 500 which is 75.
After i took off 75% and got 375. Add 375 and 75 to get 450. 500 - 450 = 50.
Therefore our answer is b, :) good luck

Find ∠ if ∠=+49, ∠=+63, and ∠=106∘.

Answers

The vslue of the angle based on the information given will be 142°.

How to calculate the angle?

From the information given, it can be deduced that the shape has four sides. The total angles will be:

= (n - 2) × 180

= (4 - 2) × 180°

= 360°

The value of the last angle will be:

= 360° - (49° + 63° + 106°)

= 360° - 218°

= 142°

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somebody please help me​

Answers

Answer:

  66°

Step-by-step explanation:

The angle sum theorem tells you the sum of angles in a triangle is 180°.

__

  79° +x +35° = 180°

  x = 180° -114° . . . . . . . . subtract 114° from both sides

  x = 66° . . . . . simplify

the answer is 66 degrees

what is the mean of, 50, 30, 40, 10, 20, 80, 60, 90, 10, 30, 110, 70?

Answers

Answer:

50

Step-by-step explanation:

Add all of the values together, which will equal 600, and then divide this number by how many numbers are here, which is 12.

600 / 12 = 50.

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