The correct answer for product in lowest term of the expression [tex]\dfrac{8}{15} * \dfrac{-3}{10}[/tex] is [tex]\dfrac{-4}{25}[/tex]. The correct option is 1.
To calculate the product of fractions in lowest terms, multiply the numerators together and multiply the denominators together, Then simplify the resulting fraction.
A fraction can be simplified in it's lower term , if both the numerator and denominator after simplification have no common factor other than 1.
The given fractions are:
[tex]\dfrac{8}{15}[/tex] and [tex]\dfrac{-3}{10}[/tex].
To simplify, Multiply both numerator and denominator.
[tex]\dfrac{8}{15} * \dfrac{-3}{10}[/tex]
= [tex]\dfrac{-24}{150}[/tex]
Simplify further, Divide both numerator and denominator by their greatest common divisor, which is 6.
[tex]= \dfrac{\dfrac{-24}{6}}{\dfrac{150}{6}}[/tex]
= [tex]\dfrac{-4}{25}[/tex]
The product of [tex]\dfrac{8}{15}[/tex] and [tex]\dfrac{-3}{10}[/tex] in lowest terms is [tex]\dfrac{-4}{25}[/tex]. The correct option is 1.
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what is -3x + b = 6x . Solve for x
factor out the coefficient of the variable 1/4 y + 3/8
Which expression equals -(9x + 8) - 2(x -5)
The students at Porterville Elementary sold raffle tickets, each for the same price, for a fundraiser. The equation below shows how much money was raised with t tickets sold. $966 = $14t
How many 3/4 cup servings are in 1/2 of a cup of milk? Write your answer in simplest form.
The number of 3/4 cup servings that are in 1/2 of a cup of milk is [tex]\frac{2}{3}[/tex]
In order to determine the number of 3/4 cup servings that are in 1/2 cup of milk, divide the fraction of the cup of milk by the fraction of cup servings
Cup of milk ÷ Number of cup servings
= [tex]\frac{1}{2}[/tex] ÷ [tex]\frac{3}{4}[/tex]
[tex]\frac{1}{2}[/tex] x [tex]\frac{4}{3}[/tex]
= [tex]\frac{4}{6}[/tex]
In order to express the answer in its simplest form, divide the numerator by two and the denominator by 2. The numerator and the denominator are both divided by two because two is a common factor of 4 and 6
= [tex]\frac{2}{3}[/tex]
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On two tests so far this year, a student received a 78 and a 93. The student wants an average between 80 and 90 inclusive. What are all of the possible scores for the third test so that the student falls within this average?
-2(v+5)-4v
use the distributive property to simplify.
PLS help!
What is 5 units away from (-1, -2)
Answer:
Step-by-step explanation:
There's a whole family of points.
(x + 1)^2 + (y + 2)^2= 25
The above is an equation that represents a circle.
Three points are marked below 2 of which are easily seen to be 5 units away from the center (-1,-2)
Multiply: 2 4/5 x -5 2/3
The currency in Argentina is the Peso. The exchange rate is approximately $3 = 1 Peso. At this rate, how many Pesos would you get if you exchanged $121.10?
The Pesos you would get if you exchanged $121.10 using an exchange rate of $3 = 1 Peso, you can set up a proportion and solve for x.
Explanation:To calculate how many Pesos you would get if you exchanged $121.10 at an exchange rate of $3 = 1 Peso, you can set up a proportion:
$3 / 1 Peso = $121.10 / x Pesos
Cross multiply to solve for x:
$3 * x = $121.10 * 1
x = $363.30
Therefore, you would get 363.30 Pesos if you exchanged $121.10 at the given exchange rate.
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A passenger train has 15 cars that each hold the same number of passengers. The train is filled with 1,020 passengers. How many passengers does each car hold?
Enter M for multiplication or D for division.
from 91 books to 145 books
find the percent increase. round to the nearest percent.
2/5ab What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 2 5 2 5 a b
Denny rode his bicycle miles in the morning. Then he rode miles in the afternoon. How far did he ride his bicycle altogether?
the line parallel to 3x + y = 8 that passes through (0, -4)
Dev knows he only has 8 gallons of gasoline in the tank he wants to go on a 300-mile trip will he have to buy more gasoline?
In 2007, the population of North America was approximately 5.15 x 10^8 people and the population of South America was approximately 3.04 x 10^8 people. What is the combined population of North and South America for this year?
A) 8.19 x 10^16 people
B) 8.19 x 10^9 people
C) 8.19 x 10^8 people
D) 8.19 x 10^64 people
Please help me please. What is the slope of a line perpendicular to the line whose equation is 5x-2y=11?
What are the domain and range of the function?
X Y
-2 -8
-1 -1
0 0
1 1
2 8
3 27
Answers:
A.
Domain: {0, 1, 2, 3, 8, 27}; Range: {–8, –2, –1}
B.
Domain: {–2, –1, 0, 1, 2, 3}; Range: {–8, –1, 0, 1, 8, 27}
C.
Domain: {–2, –1, 0, 1, 8, 27}; Range: {–8, –1, 0, 1, 2, 3}
D.
Domain: {–8, –1, 0, 1, 8, 27}; Range: {–2, –1, 0, 1, 2, 3}
What is the value of expression? 57.8 x 64 HELP PLEASE ASAP
is xy=6 a linear equation
Beth bought a T-shirt for $14.98 and a pair of shorts for $23.59. How much did Beth spend?
Answer:
38.57
Step-by-step explanation:
What is the sum of -7/18 and -3/6
a.) -4/9
b.) - 8/9
c.) 4/9
d.) 8/9
Answer:
-b) -8/9
Step-by-step explanation:
Answer:
The correct Answer is B.) -8/9
Step-by-step explanation:
HAVE AN AMAZING DAY!!
Perform the following calculation: (–16) – (–42)
Me. Driscoll has 9 reports to grade. There are 6 page for each report. He grades 12 pages. How many pages does he still have to grade?
The dance committee has 1036 flowers.They want to divide the flowers evenly among 28 centerpieces.How many flowers will be in each centerpiece? A 28 B 34 C 37 D 40
If a 25 foot tall tree cast a 15 foot shadow, what is the height of a tree if it’s shadow is 6 feet long
set this up as a ratio
25 ft tree / 15 foot shadow = X ft tree / 6 foot shadow
25/15 = X/6
cross multiply:
150 / 15x
x = 150/15 = 10
the tree is 10 feet tall
Karen wants to buy a $22.50 jacket that is marked 20% off. Select from the drop-down menu to correctly complete the sentence. The best estimate for the discount can be found using the expression
discount = price times % off
discount = 22.50 x 0.20
discount = $4.50
Answer:
[tex]\$22.50*0.20=\$4.50[/tex]
Step-by-step explanation:
Let
x-------> original price
y------> percentage of discount
z-----> discount
we know that
[tex]z=xy[/tex]
In this problem we have
[tex]x=\$22.50[/tex]
[tex]y=20\%=\frac{20}{100}=0.20[/tex]
Substitute the values
[tex]z=\$22.50*0.20=\$4.50[/tex]
Haruka hiked several kilometers in the morning in the morning. She only hiked 6 kilometers in the afternoon, which was 25% less she had hiked in the morning. How many kilometers did haruka hike in all?
The complete distance Haruka hiked can be calculated by converting the percent to decimal.
The total distance is 14 km Haruka hike in all.
Given:
She hiked in afternoon is [tex]6\: \rm km[/tex].
Let the distance hiked in morning is [tex]x[/tex].
As per the question, 6 kilometers 25% less she had hiked in morning.[tex]\begin{aligned}\left(\dfrac{100\%-25\%}{100}\right)x&=6\\0.75x&=6\\x&=\dfrac{6}{0.75}\\x&=8\\\end[/tex]
Therefore, Haruka hiked [tex]8\:\rm km[/tex] in morning.
Calculate the total distance hiked.
[tex]\rm Total\: distance=8+6=14 \:\rm km[/tex]
Thus, the total distance is 14 Km Haruka hike in all.
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Denise finished the race in 5.93 minutes.If Tara took 4.6 times as long to finish the race, how many minutes did it take her to finish?