Answers
Answer:
Q6. -5/2
Q7. -7/24
Q8. 127/24
Q9. 151/12
Step-by-step explanation:
Q6. (−3/4)+(−7/4) = -3-7/4 = -10/4 = -5/2
Q7. 3/8 - 2/3 = 3*3/8*3 - 2*8/3*8 = 9/24 - 16/24 = 9-16/24 = -7/24
Q8. 18+2/3 - 8+3/8 = 20/3 - 11/8 = 20*8/3*8 - 11*3/8*3 = 160-33/24 = 127/24
Q9. 12+1/4 + 27+1/3 = 13/4 + 28/3 = 13*3/12 + 28*4/12 = 39 + 112/12 = 151/12
9 : 32 1/3
Related Questions
The least common denominator of 5/6, 2/3, and 3/5 is:
Answers
Answer:
30
Step-by-step explanation:
List the factors
6 = 2*3
3 =3
5 = 5
The least common multiple is 2*3*5 = 30
The least common denominator is 30
Answer:
30
Step-by-step explanation:
6= 6,12,18,24,30
3= 3,6,9,12,15,18,21,24,27,30
5= 5,10,15,20,25,30
Alexa worked 30 hours last week and earned $450. her pay has now been increased by 20% which equation describes her new rate of pay P, baesed on the numbe rof hourse, h, worked
Answers
Answer: B
Step-by-step explanation:
Answer: ur answer is B
Step-by-step explanation:
Which statements are true? All parallelograms are rhombuses. All rectangles are squares. All rectangles are parallelograms. All squares are rectangles.
Answers
Answer:
A.
Step-by-step explanation:
Hope this helps! :)
A circular mirror is surrounded by a square metal frame. The radius of the mirror is 2x. The side length of the metal frame is 12x. What is the area of the metal frame?
Answers
Answer:
Step-by-step explanation:
If the side length of the metal frame is 12x, the area of the frame is
(12x)^2, or 144x^2. The radius of the mirror is irrelevant here.
Answer:
Step-by-step explanation:the area of the metal frame would be 12X^2 so it would be 144X
Maria’s current car gets 24 miles per gallon. Last year she drove 15,000 miles. Last year gas cost an average of $3.35
solve 1. How much did Maria spend for gas for her car last year?
solve 2. Maria is buying a new car that averages 32 miles per gallon. If she drives the car 15,000 miles in the next year and gas prices stay the same, how much will she spend for gas in the next year?
solve. 3 ) How much money will Maria save in gas costs in the next year by driving her new car as opposed to her old one?
solve 4. What percent decrease in gas costs for one year will Maria realize by driving her new car?
Answers
1) Last year, Maria spent $2093.75. Here's the equation to find that answer:
(a ÷ b) × c
a = 15,000b = 24c = 3.35(15,000 ÷ 24) × 3.35
2) Same equation. (15,000 ÷ 32) × 3.35. The answer of this equation is 1570.3125, but that rounds to $1570.31.
3) This part represents a simple difference/subtraction problem. Since she spent $2093.75 last year, and will spend $1570.31 with a new car, she will save 523.44.
4) Using percent of change, the percent decrease Maria will realize in one year is 33.333%, or \(\frac{1}{3}\).
ANSWERS1) 2093.752) 1570.313) 523.444) 33.333%1) 2093.75
2) 1570.31
3) 523.44
4) 33.333%
Which of the following sets of numbers could represent the three sides of a triangle?
\{13,22,37\}
\{5,7,14\}
\{15,22,39\}
\{11,21,29\}
Answers
Do you need the explanation too? Two sides must add up to be larger than the other side and it must work for every combination, 11+21 is greater then 29 so it works but 5+7 is not greater than 14 so that one doesn’t work.
please help me to answer this (has to do with least common factors and stuff like that)
Answers
Answer:
Large gear: 2 revolutions, 24 teeth
Small gear: 3 revolutions, 24 teeth
Step-by-step explanation:
You want the number of teeth that have touched when a 12-tooth gear and an 8-tooth gear turn until they have the same relative position as when they started.
Least common multipleThe least common multiple (LCM) of 8 and 12 is the smallest integer that is a positive integer multiple of both these numbers. That value is ...
24 = 8·3 = 12·2
It is often found quickly by making use of your knowledge of multiplication tables.
How to find itThe LCM can be found by looking at the unique factors of the numbers, taking each to the highest of the powers:
8 = 2³
12 = 2² × 3
Among the factors 2 and 3, the highest powers are 2³ and 3¹, so ...
2³ × 3¹ = 24
is the LCM.
The LCM is also the product of the numbers, divided by their greatest common factor (GCF):
LCM(8, 12) = 8·12/4 = 24
__
Additional comment
The problem statement is telling you to look for the same number in the two right columns of the table. That number is 24. It goes in the blanks at the bottom.
in a baking recipe, there is a proportional relationship between the number of cups of flour and the number of cups of sugar. What does that mean? Tell at least two things you know are true about this relationship.
Answers
By creating a proportion equation and applying the knowledge of fractions, the number of cups of sugar used for 1 cup of flour will be: cup of sugar.
To find the number of cups of sugar that will be used for a cup of flour, we would apply out knowledge of proportion and fractions.
Using proportion equation, we would create an equation to enable us look for the quantity of sugar that would be used for 1 cup of flour.
Using the table given,
cups of sugar was used for cups of flour
Therefore:
Let x represent the number of cup of sugars that will be used for 1 cup of flour.
Creating a proportion equation, we will have:
Cross multiply
Change the fractions to improper fractions and solve for x
Multiply both sides by 2
Divide both sides by 15
Therefore, by creating a proportion equation and applying the knowledge of fractions, the number of cups of sugar used for 1 cup of flour will be: cup of sugar.
mathhhhhhhh is not the best
Answers
Answer:
5;10= 1/2
Step-by-step explanation:
Answer:
5/10 = 1/2
Step-by-step explanation:
The base of this pyramid is a rectangle. How many congruent faces does this pyramid have?
The pyramid has 4 congruent faces.
The pyramid has 5 congruent faces.
The pyramid has 1 pair of congruent faces.
The pyramid has 2 pairs of congruent faces.
Answers
Answer: The Pyramid has 2 pairs of congruent faces
Step-by-step explanation:
The explanation of congruent is the face has the same shape and same size. On rectangle pyramid, the height triangle are 2 same faces and 2 same faces, so it has 2 pairs of congruent faces
Rule S: Start with 21. Add 8.
Rule T: Start with 15. Add 8.
What is the relationship between the corresponding terms in Rules S and T?
Make a table to help you answer the question if necessary.
Answers
Answer:
They both involve adding 8
Step-by-step explanation:
When you start with 21, you add 8. When you start with 15, you add 8. In both situations you add 8.
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ITS ALL YOU FAULT SO OWN TO IT DUDEPlease help me with number 2!!!!!!
Answers
Alexi bought 5 T-shirts for $12 each and 3 pairs of socks for $2 a pair. Which expression shows how much Alexi spent in dollars. Explain
a) 5 × 12 x 3 × 32
b) 5 × 12 + 3 × 32
c) (5+3) × (12 + 2)
Answers
Answer:
b
Step-by-step explanation:
so hope it help,have a nice day!
Alexi bought 5 shirts. Given that each of them costs 12 dollars, we can say that the equation for their price is:
12 + 12 + 12 + 12 + 12 or just 5 x 12
Now, Alexi also bought socks. 3 pairs of them, in fact. Given that each pair was an astounding 2 dollars, we would get this equation:
2 + 2 + 2 or just 3 x 2
Of course, Alexi bought these things together, so they must pay for both things. The total price would be
5 x 12 + 3 x 2 or 66 dollars
An ice cream sandwich has a length of 4 inches, width of 212 inches, and height of 34 inches.What is the volume of the ice cream sandwich?
Answers
Answer:
28832
Step-by-step explanation:
thats a big ice cream sandwich, can i have some?
Answer:
28832
Step-by-step explanation:
Formula: L x W x L
4x212x44= 28832
Which two angles are complementary?
Answers
Find the area of the trapezoid by decomposing it into other shapes
.A)56 cm*2
B)60 cm*2
C)64 cm*2
D)72 cm*2
Answers
A
56 cm*2
Area
Error Analysis: A store is instructed by corporate headquarters to put a markup of 67% on all items. An item costing $6 is displayed by the store manager at a selling price of $4. As an employee, you notice that this selling price is incorrect. Find the correct selling price. What was the manager's likely error?
Part 1: The correct selling price is (Round to the nearest dollar as needed.)
Part 2: What was the manager's likely error?
A. The manager set the selling price at the markup.
B. The manager subtracted the markup from the cost instead of adding it.
C. The manager set the selling price at the cost.
D. The manager added the markup to the cost instead of subtracting it.
Answers
Answer:
To find the correct selling price, we need to first find the cost of the item plus the markup. We can do this by multiplying the cost of the item by the markup percentage: $6 * 67% = $4.02. However, since the question asks us to round to the nearest dollar, we can round this number down to $4.
Therefore, the correct selling price is $4.
The manager's likely error was that they set the selling price at the cost (option C).
Step-by-step explanation:
The correct selling price is $10 and the manager set the selling price at the markup so option (A) is correct.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.
As per the given,
Cost of item = $6
Markup = 67%
67% of $6 ⇒ 0.67 x 6 = $4.02
Add the markup in the cost = $6 + $4.02 = $10.02
Round to nearest dollars = $10.2 ≈ $10.
The manager put $4 which is a markup instant of the selling price of $10.
Hence "The correct selling price is $10 and the manager set the selling price at the markup".
For more about the percentage,
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You pick a card at random. 6 7 8 9 What is P(divisor of 70)? Write your answer as a percentage. %
Answers
Answer:
Step-by-step explanation:
on which number line is a point plotted at −15 1/4?
Answers
Answer:
C
Step-by-step explanation:
Because it is negative it goes backwards, so it would be on the left side of -15. It doesn't go in the middle because that would be -15 1/2. It does go on the left side of the middle, because that would be -15 3/4. It goes on the right side of the middle because that is -15 1/4.
Answer:
C
Step-by-step explanation:
Since its negative then your going backwards and 1/4 is less than half.
Find the function with x-intercepts (-2, 0) and (4, 0), which also goes through the point (3, 10).
Answers
Answer:
Option D: is the function
Explanation: Let the general form of quadratic equation be The function passes through the intercepts and and also passes though the point Substituting the points , and in the equation , we get, -----------(1) ----------(2) -----------(3) Subtracting (1) and (2), we get, -----------(4) Subtracting (2) and (3), we get, ------------(5) Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get, Thus, the value of a is Substituting in equation (4), we get, Thus, the value of b is Now, substituting the value of a and b in equation (1), we have, Thus, the value of c is Now, substituting the value of a,b and c in the general formula , we get, Taking out the common term as -2 we get, Factoring , we get, Thus, the function is
Can anyone help me with this one, Next one.......
Answers
Answer:
B) m + 7
Step-by-step explanation:
x + y + z = (m+9)/2 + (2m+15)/2 + (3m+18)/2 = (6m + 42)/2 = 3m + 21
Average of x, y, and z = (x + y + z)/3 = (3m + 21)/3 = m + 7
Answer:
m + 7
Step-by-step explanation:
\(x = \frac{m + 9}{2}\\ \\y = \frac{2m + 15}{2}\\\\z = \frac{3m + 18}{2}\\\\To\;\;find\;\;\\\frac{x+y+z}{3} \\\\= \frac{1}{3} *[\frac{m + 9}{2}+\frac{2m + 15}{2}+\frac{3m + 18}{2}]\\\\= \frac{6m + 42}{6}\\ \\= m + 7\)
what is the property of it
Answers
Answer:
Commutative Property of Addition
Step-by-step explanation:
The commutative property of addition says that changing the order of addends does not change the sum. This is what the problem is doing.
What is the slope of the line in the graph?
Answers
Answer:
1,-1 is the answer that I think if might be wrong
brody\ made\ some\ candles\ that\ weighed\ \frac{1}{4}\ of\ a\ pound\ per\ candle.\ He\ shipped\ them\ in\ a\ box\ that\ weighed\ 51\ pound.\ The\ total\ weight\ of\ the\ box\ filled\ with\ candles\ was\ 60.75\ pounds.\ How\ many\ candles\ did\ brody\ ship\ in\ the\ box?
Answers
Answer:39
im not adding an explanation so just use this
help me plz help...../s.dhjfu
Answers
Answer:
20,160
Step-by-step explanation:
1 dollar= 160.75 so 6×160 = 960 liters
Cost of gas 960÷100×2100 = 20,160
What is the length of b
Answers
Answer:
b = 24
Step-by-step explanation:
Concepts
The Pythagorean Theorem states that the sum of the squares of the two other sides on a right triangle is equal to hypotenuse (longest side) squared. It can be represented by the equation \(a^2+b^2=c^2\). We can also use this formula to solve for the other two legs in the right triangle.
Application
In this case, we're asked to find the length of b in the right triangle, given c as 26 and a as 10. Now, we just apply the formula and solve for b.
Solution
Step 1: Set up equation and simplify.
\(10^2+b^2=26^2\) \(100+b^2=676\)Step 2: Subtract 100 from both sides.
\(100+b^2-100=676-100\) \(b^2=576\)Step 3: Take square root of both sides.
\(\sqrt{b^2} =\sqrt{576}\) \(b=24\)Therefore, b = 24.
Answer:
24
Step-by-step explanation:
This is a scaled pythagorean triple. If you scale it by dividing by 2, then you see 5 and thirteen, which matches a (5, 12, 13) triple
Samuel correctly determines the product by applying the distributive property. What is Samuel's answer?
Answers
1. Convert the mixed fraction into an improper fraction. 6 x 4 is 24+1=25 and you keep the denominator. Thus it would be -12 x 25/4.
2. Cancel out the common factor. 12 and 4 are both divisible by 4. -12 divided by 4 is -3, and the four would cancel out.
3. We are left with -3 x 25 which would be -75, because a negative integer multiplied by a positive integer is negative.
Hope that helps. :)
Answer: -75
Step-by-step explanation:
Mathematics Practice -
Please help! I need this done today! :( I will mark Brainliest!
The average temperature in Fairbanks, Alaska, was -4°F one day and 6°F the next day. Find the difference of the temperatures.
The Suarez family spends 30% of their monthly income on the house payment. If the house payment is $1,200, what is the family's income?
Simplify: 2a-2b-4a–1b
Carlin wants to determine the general attitude toward math of the students in the school. Which of the following methods will produce a random sample?
a) Survey 10 students from each of Mr. Lee's math class. b) Survey all of the students in Carlin's 1st period class.
c) Survey every 15th student who enters the cafeteria at lunchtime. d) Survey every 3rd student in the list of honors students.
Evaluate: -8 +8
Mary bought a pair of jeans and a sweater. The pair of jeans costs $30 and the sweater costs $35. If sales tax is 6%, how much did Mary spend in total for the jeans and sweater?
On Tuesday the value of a stock decreased by 1/2 point. On Wednesday, the value increased 3/4 point. On Thursday the value decreased by 3/8 point. What integer represents the change in stock value after three days?
Factor the expression below using the greatest common factor.
\(6p^{3} -2p^{2} - 8p\)
Nigel borrows $250 and pays 5.5% simple interest each year. If he pays back the money in on year what is the total amount that he pays?
A fish dives into a depth of -3/4 mile below the surface of the water. A turtle's depth is 1/3 as deep as the fish's depth. What is the turtle's depth?
What is the difference of the expression below?
\((12f -8g + 3h) - (4f - g + 5h)\)
A cube has a side length of 13 millimeters. What is the surface area of the cube?
Answers
1. To find the difference between the temperatures, we simply subtract the smaller temperature from the larger temperature. In this case, the smaller temperature is -4°F and the larger temperature is 6°F. So the difference between the temperatures is:
6°F - (-4°F) = 6°F + 4°F = 10°F
Therefore, the difference between the temperatures is 10°F.
2. If the Suarez family spends 30% of their income on the house payment, then the remaining 70% of their income is used for other expenses. We can set up an equation to solve for their income:
0.7x = income after house payment
x = total income
We know that the house payment is $1,200, so we can substitute that into the equation:
0.7x = x - 1200
Solving for x, we get:
0.3x = 1200
x = 1200 / 0.3
x = $4,000
Therefore, the family's income is $4,000.
3. Simplifying the expression 2a-2b-4a-1b, we can combine like terms:
2a - 4a - 2b - 1b = -2a - 3b
So the simplified expression is -2a - 3b.
4. To produce a random sample of students, Carlin should use a method that gives each student an equal chance of being selected. One such method is simple random sampling, where each student is assigned a number and a random number generator is used to select the desired number of students. Another method is systematic sampling, where every nth student on a list is selected. However, other methods such as convenience sampling or voluntary response sampling may introduce bias and should be avoided if a truly random sample is desired.
1. To find the difference between the temperatures, we subtract the smaller temperature from the larger temperature: 6°F - (-4°F) = 10°F. Therefore, the difference in temperature is 10°F.
2. If the Suarez family spends 30% of their monthly income on the house payment and the payment is $1,200, we can set up the equation:
0.3x = 1200
Solving for x, we get:
x = 1200 / 0.3 = $4,000
Therefore, the family's income is $4,000.
3. Simplifying the expression 2a - 2b - 4a - 1b, we can combine like terms:
2a - 4a - 2b - 1b = -2a - 3b
Therefore, the simplified expression is -2a - 3b.
4. To produce a random sample, we need to select individuals randomly from the population. Option c, surveying every 15th student who enters the cafeteria at lunchtime, is the only method listed that produces a random sample.
5. Evaluating -8 + 8, we can see that the terms cancel each other out, so the result is 0.
6. To find the total amount Mary spent for the jeans and sweater including sales tax, we can calculate:
Total cost = Cost of jeans + Cost of sweater + Sales tax
Total cost = $30 + $35 + 0.06($30 + $35)
Total cost = $30 + $35 + $3.3
Total cost = $68.3
Therefore, Mary spent $68.3 in total for the jeans and sweater.
7. To find the change in stock value after three days, we can add and subtract the values given:
-1/2 + 3/4 - 3/8 = 1/8
Therefore, the change in stock value after three days is 1/8.
8. To factor the expression using the greatest common factor, we can factor out 4x:
4x(3x - 2) - 2(3x - 2)
= (4x - 2)(3x - 2)
= 2(2x - 1)(3x - 2)
Therefore, the factored expression is 2(2x - 1)(3x - 2).
9. To find the total amount that Nigel pays back after one year, we can use the formula:
Total amount = Principal + Simple interest
Simple interest = Principal x Rate x Time
In this case, the principal is $250, the rate is 5.5%, and the time is 1 year.
Simple interest = $250 x 0.055 x 1 = $13.75
Total amount = $250 + $13.75 = $263.75
Therefore, Nigel pays back $263.75 in total.
10. If the fish's depth is -3/4 mile, the turtle's depth is (1/3)(-3/4) = -1/4 mile. Therefore, the turtle's depth is -1/4 mile.
11. To find the difference between the expressions, we can subtract the second expression from the first:
(2x^2 + 3x - 1) - (3x^2 - 2x + 3)
= 2x^2 + 3x - 1 - 3x^2 + 2x - 3
= -x^2 + 5x - 4
Therefore, the difference of the expressions is -x^2 + 5x - 4.
12. The surface area of a cube is given by the formula 6s^2, where s is the length of one side of the cube. In this case, s = 13 mm, so we can calculate:
Surface area = 6(13^2)
Surface area = 6(169)
Surface area = 1014 mm^2
Therefore, the surface area of the cube is 1014 square millimeters.
Please help, I give brainliest.
Answers
Answer:
The length is 12 ft; The width is 6.75 ft; the area is 81 ft
Step-by-step explanation:
First 5 multiples of 6: 6, 12, 18, 24, 30
First 5 multiples of 9: 9, 18, 27, 36, 45
What is the least common multiple (LCM) of 6 and 9?
A. 54
B. 18
C. 27
D. 9
Answers
Answer:
18
Step-by-step explanation:
theyy both go into 18
The least common multiple (LCM) of 6 and 9 is 18. so, the correct answer is B. 18.
To find the least common multiple (LCM) of 6 and 9, we can list their multiples and look for the smallest common multiple.
The first 5 multiples of 6 are
6, 12, 18, 24, 30.
The first 5 multiples of 9 are
9, 18, 27, 36, 45.
From these lists, we can see that the smallest common multiple of 6 and 9 is 18.
Therefore, the correct answer is B. 18.
Learn more about LCM here;
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