Answer:
a. 6 and 15
b. 4 and 11
c. 6, 9, and 12
d. 8, 10, and 20
2.What’s the least common denominator (LCD) for each group of fractions?
a. 1⁄6 and 7⁄8
b. 3⁄4 and 7⁄10
c. 7⁄12, 3⁄8 and 11⁄36
d. 8⁄15, 11⁄30 and 3⁄5
3.Insert the “equal” sign or the “not equal” sign ( = or ≠) to make each statement true.
a. 18/36 _____ 1/2
b. 13/15 _____ 7/10
c. 3/5 _____ 5/9
d. 3/8 _____ 10/16
4.On a hot summer day, John drank 5⁄11 of a quart of iced tea; Gary drank 7⁄10 of a quart; and Carter drank 3⁄5 of a quart. Which man was the most thirsty?
5.What’s the largest fraction in each group?
a. 5⁄6 and 29⁄36
b. 5⁄12 and 3⁄8
c. 2⁄5 and 19⁄45
d. 5⁄7, 13⁄14, and 19⁄21
e. 7⁄11 and 9⁄121
f. 1⁄2, 3⁄18, and 4⁄9
6.Reduce each of the following fractions to its simplest form.
a. 12⁄18
b. 48⁄54
c. 27⁄90
d. 63⁄77
e. 24⁄32
f. 73⁄365
7.What is the next fraction in each of the following patterns?
a. 1⁄40, 4⁄40, 9⁄40, 16⁄40, 25⁄40 . . .?
b. 3⁄101, 4⁄101, 7⁄101, 11⁄101, 18⁄101, 29⁄101. . .?
c. 5⁄1, 10⁄2, 9⁄2, 18⁄4, 17⁄8, 34⁄32, 33⁄256. . .?
8.In each pair, tell if the fractions are equal by using cross multiplication.
a. 5⁄30 and 1⁄6
b. 4⁄12 and 21⁄60
c. 17⁄34 and 41⁄82
d. 6⁄9 and 25⁄36
9.This year, a baseball player made 92 hits out of 564 times at bat. Another player made 84 hits out of 634 times at bat. Did the two players have the same batting average?
10.On a test with 80 questions, Bob got 60 correct. On another test with 100 questions, he got 75 correct. Did Bob get the same score on both tests?
11.Find the missing numerators in each of the following problems.
a. 10⁄15 = ⁄60
b. ⁄108 = 4⁄9
c. 7⁄11 = ⁄121
d. ⁄144 = 2⁄6
12.This handy application of LCMs is used by astronomers.
All the planets in our solar system revolve around the sun. The planets occasionally line up together in their journeys, as shown in the illustration. The chart shows the time it takes each planet to make one trip around the sun.
Now, imagine that the planets Earth, Mars, Jupiter, Saturn, Uranus, and Neptune aligned last night. How many years will pass before this happens again? (Hint—Find the LCM of the planets’ revolution times.)
Solar System
Planet Revolution Time
Earth 1 year
Mars 2 years
Jupiter 12 years
Saturn 30 years
Uranus 84 years
Neptune 165 years
Step-by-step explanation:
1.
a. 30
b. 44
c. 36
d. 40
2. I don't really remember how to do these but if you cant make the denominator smaller then I belive it's
a. 24
b. 20
c. 4
d. 5
3.
a. =
b. not =
c. not =
d. not =
4. Gary
5.
a. 5/6
b. 5/12
c. 19/45
d. 13/14
e. 7/11
f. 1/2
6.
a. 2/3
b. 8/9
c. 3/10
d. 9/11
e. 3/4
f. 1/5
7.
a. 36/40
b.
c.
8.
a. yes
b. no
c. no
d. no
9. no
10. yes
11.
a. 40
b. 48
c. 77
d. 48
12. 4,620
When we multiply the same base we the exponents
Answer:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.
Step-by-step explanation:
Which is greater, -8 or -10?
Answer:
-8
Explanation:
Answer: -8
Step-by-step explanation:
The measure of an angle is 10 degrees more than its supplement. What is the measure of
the smaller angle?
Supplementary angles are angles that add up to 180 degrees.
Angle 1 = x
Angle 2 = x + 10
Since they are supplementary, we can set then equal to 180
x + x + 10 = 180
Combine like terms
2x + 10 = 180
Subtract 10 from both sides
2x = 170
Divide both sides by 2
x = 85
Angle 1 = 85 degrees
Angle 2 = 85 + 10 = 95 degrees
Given the following expressions: A. 53 • 5–4 B. 3^5/3^-6 C.(1/4)^3 • (1/4)^2 D. (-7)^5/(-7)^7 Part 1: Use operations of exponents to simplify each expression (A-D). Include your work in your final answer. Part 2: For each simplified expression (A-D), tell whether or not the expression has a value between 0 and 1. Hint: Also this is a four part question. You have to give answers for A,B,C, & D.
Part 1:
A.53 =53
B.3^5/3^-6 =177147
C.(1/4)^3 • (1/4)^2 = 1 /1024
D.(-7)^5/(-7)^7 = 1/49
I tried my best for part 2 but i'm pretty sure it's not right. I think 1/1024 and 1/49 has a value between 0 and 1
The arithmetic operations are used in order to evaluate the given expressions and the calculations are given below.
A) [tex]53\times 5-4[/tex]
Equate the above expression with any variable 'x' and then simplify the given expression.
[tex]x = 53\times 5-4\\x = 265-4\\x=261[/tex]
From the above calculation, it can be concluded that the value of the given expression does not lie between 0 and 1.
B) [tex]3^5/3^6[/tex]
Equate the above expression with any variable 'y' and then simplify the given expression.
[tex]y = \dfrac{3^5}{3^6}\\\\y = \dfrac{1}{3}[/tex]
From the above calculation, it can be concluded that the value of the given expression lies between 0 and 1.
C) [tex](1/4)^3\times (1/4)^2[/tex]
Equate the above expression with any variable 'z' and then simplify the given expression.
[tex]z = \left(\dfrac{1}{4}\right)^3\times \left(\dfrac{1}{4}\right)^2\\\\z= \left(\dfrac{1}{4}\right)^5[/tex]
From the above calculation, it can be concluded that the value of the given expression lies between 0 and 1.
D) [tex](-7)^5/(-7)^7[/tex]
Equate the above expression with any variable 'w' and then simplify the given expression.
[tex]w = \dfrac{(-7)^5}{(-7)^7}\\\\\\w=\dfrac{1}{49}[/tex]
From the above calculation, it can be concluded that the value of the given expression lies between 0 and 1.
For more information, refer to the link given below:
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The amount of algae in a bloom, P, can be modeled by the equation P = t^4 + 6t^3+ 7t^2 + 8t, where t is measured in weeks. During what interval of t will the population of algae be greater than 500?
(−∞, −6.759) ∪ (3.452, ∞)
(6.759, 3.452)
(0.3452, ∞)
(0, 3.452)
Answer:
C. (0.3452, ∞)
Step-by-step explanation:
The interval of t when the population of algae will be greater than 500 is (3.452, ∞)
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
For given question,
The amount of algae in a bloom, P, can be modeled by the equation [tex]P = t^4 + 6t^3+ 7t^2 + 8t[/tex] where t is measured in weeks.
We need to find the find the interval of t will the population of algae be greater than 500
So, we get an inequality,
[tex]\Rightarrow P > 500\\\\\Rightarrow t^4 + 6t^3+ 7t^2 + 8t > 500\\\\\Rightarrow t (t^3 + 6 t^2 + 7 t + 8) > 500\\\\\Rightarrow t [t [t (t + 6) + 7] + 8] > 500\\\\\Rightarrow t > 3.45~~and ~~t < -6.759\\\\[/tex]
But time is measured in weeks.
So, t will not have the values from the interval (−∞, −6.759)
Therefore, the interval of t when the population of algae will be greater than 500 is (3.452, ∞)
Learn more about inequality here:
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Granny smith is making strawberry jelly. She fills 6 1/2 ounce jars to give as gifts Granny was able to fill 8 jars. How many ounces of strawberry jelly did granny smith make?
Answer:
52 ounces
Step-by-step explanation:
6 1/2 * 8 = 52 ounces
3(-3x - 3) + 2x + 4 = -33
A garden is 5 yards 12 inches wide and 2 yards long. Write the ratio of the width to the length as a fraction in simplest form.
What is the missing numerator? blank over five minus one fourth equal eleven twentieths
Answer:
4
Step-by-step explanation:
4/5 - 1/4 = 11/20
(decimals: 0.55)
4
4/5 - 1/4 = 11/20
(I may have used a calculator)
Which one of the following is another name for RA?
R
A
Answer:
C RY→
Step-by-step explanation:
The endpoint is R, so the end point must remain the the same
The ray continues in the direction of A, Y is in the direction of A so we can replace A with Y
RY→
Step-by-step explanation:
AR i believe
2/ 6
Simplification
Answer:
[tex]1/3[/tex]
Step-by-step explanation:
[tex]simplify2/6[/tex]
If you want to find out how to simplify [tex]2/6[/tex], you just have to divide. So let's divide the higher number by the lower.
[tex]6/2=3[/tex]
So 1 has to be the numerator.
[tex]1/3[/tex]
This is your answer!
Hope this helps!
Answer: 1/3 please mark as brainliest
Step-by-step explanation:
For a company picnic, Brian ordered a box of fresh-baked gingerbread cookies and sugar cookies. The box included a total of 60 cookies, and 90% of them were gingerbread. How many gingerbread cookies did Brian get?
Answer:
54
fifty four of the cookies in the box were gingerbread cookies and the other 6 were sugar cookies
Write and solve an equation to find the number n. The difference of three times a number and 4 is -19.
Answer:
-5
Step-by-step explanation:
Let n be the unknown number
difference is subtraction
3n -4 = -19
Add 4 to each side
3n-4+4 = -19+4
3n = -15
Divide by 3
3n/3 = -15/3
n = -5
When adding 2/3 + 4/5, what step must be completed first?
A)Finding the least common denominator.
B)Reducing the fractions.
C)Adding the numerators, but keeping the denominators.
D)Adding the denominators, but keeping the numerators.
Answer:
(A) Finding the least common denominator.
In order to add the fractions 2/3 + 4/5 the least common factor of 3 and 5 has been taken in the first step thus,option (A) is correct.
What is the lowest common multiple?The lowest common multiple is the smallest multiple which is common between any two numbers.
It means we can divide both numbers by that and that is the smallest number by which both dived.
For example, LCM of 2 and 8 is 8.
As per the given two fractions,
2/3 + 4/5,
The least common factor of 3 and 5 is 15
Thus, (10 + 12)/15
Thus, in the first step, we have taken LCM.
Hence "In order to add the fractions 2/3 + 4/5 the least common factor of 3 and 5 has been taken in the first step".
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2x < -12 please solve this
Answer:
x<−6 is your answer. <3
Which of the following numbers is not rational ?
Answer:
The answer is A.
Hope it helps..
Answer
B.
because pi is irrational
Which statements are true about a perfect cube monomial and its roots? Check all that apply.
A. A perfect cube monomial must have exponents on the variables.
B. A perfect cube monomial must have three identical roots, such that the product of the roots equal the perfect square monomial.
C. The coefficient of the monomial must be divisible by 3.
D. Any monomial can be a perfect cube root.
E. The least common multiple of all the exponents on variables of a perfect cube monomial must be 3.
F. It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.
Answer:
A, D, F
Step-by-step explanation:
Just took the test
The true statements about a perfect cube monomial and its roots are as follows;
A perfect cube monomial must have three identical roots, such that the product of the roots equals the perfect square monomial.
It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.
A perfect cube monomial must have exponents on the variables.
We have to determine
Which statements are true about a perfect cube monomial and its roots?
What is a perfect cube monomial?A perfect cube monomial must have exponents on the variables.
The true statements about a perfect cube monomial and its roots are as follows;
1. A perfect cube monomial must have three identical roots, such that the product of the roots equals the perfect square monomial.
2. It must be possible for the coefficient of a perfect cube monomial to be written in the form n3, where n equals the cube root of the coefficient.
3. A perfect cube monomial must have exponents on the variables.
Perfect cubes are the numbers that are obtained when natural numbers are multiplied by themselves twice.
All the perfect cube numbers have a square root equal to a natural number.
To know more about Monomial click the link is given below.
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Quadrilateral RAPS is located at the vertices
R(-4,1), A(-3, 4), P(0,5), S(-1,1). Where will points
R", A", P", S", be located after the quadrilateral has been reflected
across the line y - x and then rotated 180° about the origin?
Answer:
R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.
If a point A(x, y) is reflected over the line y = x, the new point is at A'(y, x)
If a point A(x, y) is rotated 180° clockwise about the origin, the new location is at A'(-x, -y)
Since Quadrilateral RAPS is located at the vertices R(-4,1), A(-3, 4), P(0,5), S(-1,1), After been reflected across the line y = x, the new locations are at:
R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1)
Then the rotation of the points R'(1, -4), A'(4, -3), P'(5, 0), S'(1, -1) 180° about the origin gives:
R''(-1, 4), A''(-4, 3), P''(-5, 0), S''(-1, 1)
I need help finding this
As a director of operations for a fast-food company,
you oversee two of the company's restaurants. One of
the stores reports their revenue for the year as 0.15 of
the company's revenue, and the other restaurant
reports 21% of the company's revenue.
what is the total percentage of the company’s revenue that your two stores report?
3.61%
6%
21.15%
22.5%
36%
Answer:Is this pre algebra word problem I’m confused
Step-by-step explanation:
∠A and ∠B are vertical angles. If m∠A=(3x-30)° and m∠B=(2x-9)°,then find the value of x.
Answer:
x = 21°
Step-by-step explanation:
Vertical angles have the same measures, therefore:
3x - 30 = 2x - 9
x - 30 = -9
x = 21°
(15−x)∙4=10
pls pls answer asapppp
(15-12.5)*4=10
x=12.5
what would the area be of this shape
I bought a car for $10,000 when I sold it I got $3,000. What was the percent decrease?
Answer:
70%
Step-by-step explanation:
10000-3000=$7,000 decrease
7,000/10,000 = 0.7 = 70%
Shanice paid $9 for a pizza. She now has
$12. With how much money did she start?
Answer:
$21
Step-by-step explanation:
9 + 12 = 21
Answer:
Shanice started with 21 dollars.
Step-by-step explanation:
You reverse what she did. So, that is 12+9.
Given A (-6, -5) and T(x - 3, y + 2), state A" after a reflection over the x-axis of the point T(A).
a. A" (-9,3)
b. A" (-9, -3)
C. A" (9,3)
d. A" (9,-3)
|5 - 2(9)| + 9^2 + 3
Answer:
97
Step-by-step explanation:
|5-18|+81+3
|-13|+81+3
13+81+3
97
Answer:
97
Step-by-step explanation:
[tex]9^{2} = 81[/tex] Plug 81 in: |5 - 2(9)| + 81 + 32(9) = 2 × 9 = 18Plug 18 in: |5 - 18| + 81 + 3|5 - 18| = 13Plug 13 in: 13 + 81 + 313 + 81 = 94Plug in 94: 94 + 394 + 3 = 97I hope this helps!
Solve the equation for x. As you solve, justify the steps. Please help me out. -(3x - 12) = 9x - 4
Answer:
[tex]x=\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]-\left(3x-12\right)=9x-4[/tex]
Distribute the negative sign to both 3x and -12:
[tex]-\left(3x\right)-\left(-12\right)=9x-4[/tex]
Remove brackets: (Double negative = Positive)
[tex]-3x+12=9x-4[/tex]
Subtract 12 from both sides:
[tex]-3x+12-12=9x-4-12[/tex]
[tex]-3x=9x-16[/tex]
Subtract 9x from both sides:
[tex]-3x-9x=9x-16-9x[/tex]
[tex]-12x=-16[/tex]
Divide both sides by -12:
[tex]\frac{-12x}{-12}=\frac{-16}{-12}[/tex]
[tex]x=\frac{4}{3}[/tex]
Four people equally share 3/4 of a whole pizza. What fractional part of the whole pizza does each person receive?
Answer:
3/16
Step-by-step explanation:
Solve the following inequality for b. Write your answe
-1 - (36 - 10) < 26 – 2 – 9b
Submit Answer
Answer:
-1 - (36 - 10) < 26 – 2 – 9b
b < 17/3
