Hey there!
The answer to your question is, yes, it is
Given:
[tex]\frac{8}{5}[/tex] [tex]and[/tex] [tex]\frac{24}{15}[/tex]
To see if they are equal, we can use cross products (see below for information about this, if you don't know what it is). Let us assume they are equal. This would mean that:
[tex]8*15=24*5[/tex]
Let's solve it and see if it is true:
[tex]8*15=24*5[/tex]
[tex]120=120[/tex]
Therefore, they are proportional.
Cross products
WORD DEFINITION:
Given two fractions, you can take the numerator of the first fraction multiplied by the denominator of the second fraction and it should equal the denominator of the first fraction multiplied by the numerator of the second fraction.
ALGEBRAIC DEFINITION:
Given two fractions, [tex]\frac{a}{b}[/tex] [tex]and[/tex] [tex]\frac{c}{d}[/tex], [tex]a*d[/tex] should equal to [tex]b*c[/tex]
Hope it helps, and have a terrificly amazing day!
Jared consuela and Reggie have an ant farm Jared collected 25/100 of the ants from the ant farm consuela collected 6/10 of the ants what fraction of the ants did Jared and consuela collected together
Answer:
17/20
Step-by-step explanation:
[tex]\frac{25}{100} + \frac{6}{10}[/tex]
to solve this multiply both fractions by 100
(25 + 60) / 100 = 85/100
we need to find the lowest common multiple
Both the numerator and denominator can be divided by 5 = 17/20
in the scale drawing what will the length of the West side be?
Q. Three years ago, the population of a certain species of bird was calculated at 20 birds per acre
This year, a biologist recorded a total of 47 birds in an area equal to 3.25 acres. By about what
percentage has the bird population in the biologist's sample decreased over the last 3 years, to
the nearest tenth?
A. 14.7%
B. 27.7%
C. 38.3%
D. 42.6%
E. 72.3%
Which equation in point-slope form describes the line that passes through the point (4,-5) and is perpendicular to
the line represented by
- 7x + 2y = 14?
9514 1404 393
Answer:
D y +5 = -2/7(x -4)
Step-by-step explanation:
The point-slope form is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
You're given (h, k) = (4, -5), so the equation will be of the form ...
y +5 = m(x -4) . . . . for some slope m
This form eliminates the first two choices.
__
The slope of the given line is the coefficient of x when solved for y:
2y = 7x +14
y = 7/2x +7 . . . . slope is 7/2
The perpendicular line will have a slope that is the opposite reciprocal of this, ...
-2/7 . . . . slope of perpendicular line
This is the slope shown in choice D:
y +5 = -2/7(x -4)
D
Step-by-step explanation:
SOMEONE PLEASE HELP ME WITH THISSS ASAP
Answer:
C
Step-by-step explanation:
Divide the numerator but the denominator to get a decimal. (That tip saved me in 6th grade)
Solve the inequality for x.
22 >x-5
Answer:
x < 27
Step-by-step explanation:
22 > x - 5
Subtract x from both sides.
-x + 22 > -5
Subtract 22 from both sides.
-x > -27
Divide both sides by -1. Remember that when you multiply or divide an inequality by a negative number, the inequality sign changes direction.
x < 27
12 decreased by some number h
Answer:
12 - h
Step-by-step explanation:
cubic feet= 1 cubic yard
Answer:
(1 yard) 3 = 1 3 yard*yard*yard = 1 yard*yard*yard = 1 cubic yard. Since 1 yard = 3 feet, we have.
1 cubic yard = (1 yard) 3 = (3 feet) 3 = 33 feet*feet*feet = 27 cubic feet.
Step-by-step explanation:
Karen surveys a group of people to find out how many hours, in total, they had worked in the previous week. Her results are summarised in the histogram.
There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?
Answer:
500 bricks.
Step-by-step explanation:
There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?
To solve e the above question, we have:
20 feet high = 250 bricks
40 feet high = x bricks
Cross Multiply
20 feet × x bricks = 40 feet × 250 bricks
x bricks = 40 feet × 250 bricks/20 feet
x bricks = 500 bricks
Therefore, 500 bricks will be used to build a wall is 40 feet high.
please help i’ll give you brainliest and a thanks
Answer:
[tex]3g + 40[/tex] and g= 60
Step-by-step explanation:
hope this helps have a good rest of your night :) ❤
please quickly and correctly solve the question in the image below.
Answer:
step 2
Step-by-step explanation:
he was not supposed to multiply by x
he was supposed to combine like terms
add -2x and 4x and add 6 and 5
Answer:
So he messed up on step 2
Step-by-step explanation:
Please answer these 3 they are pretty simple tysm will mark brainliest
7: -69
8: -2+3-4 = -3
9: $ (5y+10)
Maggie is trying to find the best deal to buy bags of potato chips. Option A: $0.90 for 9 bags of chips Option B: $0.84 for 7 bags of chips Option C: $1.50 for 5 bags of chips Which option is the better deal?
A
Option A
B
Option B
C
Option C
Answer:
The answer is option A. Since you would be paying 0.10 for each bag.
The solution is Option A.
The best deal for Maggie to buy the bag of potato chips would be 9 bags for $ 0.90 because each bag cost $ 0.10
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of each bag be represented as A
Now , the equation will be
a)
$0.90 for 9 bags of chips
The cost of 9 bags = $ 0.90
The cost of 1 bag A = The cost of 9 bags / 9
Substituting the values in the equation , we get
The cost of 1 bag A = 0.90 / 9
On simplifying the equation , we get
The cost of 1 bag A = $ 0.10
b)
$0.84 for 7 bags of chips
The cost of 7 bags = $ 0.84
The cost of 1 bag A = The cost of 7 bags / 7
Substituting the values in the equation , we get
The cost of 1 bag A = 0.84 / 7
On simplifying the equation , we get
The cost of 1 bag A = $ 0.12
c)
$1.50 for 5 bags of chips
The cost of 5 bags = $ 1.50
The cost of 1 bag A = The cost of 5 bags / 5
Substituting the values in the equation , we get
The cost of 1 bag A = 1.50 / 5
On simplifying the equation , we get
The cost of 1 bag A = $ 0.30
Therefore , the 0.10 < 0.12 < 0.30
Hence , the cost of $0.90 for 9 bags of chips is the best deal
To learn more about equations click :
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52,427 rounded to the nearest thousand
Answer:
52,000 to the nearest thousand
Answer:
52,000
Step-by-step explanation:
Maia has a total debt of $25. She is trying to pay back $2 each week for the next 8 weeks. If Maia is successful, which amount will represent the change in the amount of her debt?
+$16
-$16
+$10
-$10
can someone please help? i've been asking questions and nobody's been helping :(
Answer:
-16
Step-by-step explanation:
2(8)=16, 25+(-16)=current debt after 8 weeks
Divide 200kg in the ratio 15:9:1
Answer:
120kg, 72kg and 8kg
Step-by-step explanation:
Given the ratios 15:9:1
total ratio = 15+9+1 = 25
For the ratio of 15
Share = 15/25 * 200
Share = 3000/25
Share = 120kg
For the ratio of 9
Share = 9/25 * 200
Share = 1800/25
Share = 72kg
For the ratio of 1
Share = 1/25 * 200
Share = 200/25
Share = 8kg
6
Paul’s family is driving home from a trip. They plan to drive part of the distance each day for
3
3 days. Which choices show the amounts they could drive each day to complete the trip home? Select the two correct answers.
A
Day 1: 14
4
1
of the total distance home; Day 2: 38
8
3
of the total distance home; Day 3: 38
8
3
of the total distance home
B
Day 1: 12
2
1
of the total distance home; Day 2: 13
3
1
of the total distance home; Day 3: 24
4
2
of the total distance home
C
Day 1: 13
3
1
of the total distance home; Day 2: 12
2
1
of the total distance home; Day 3: 16
6
1
of the total distance home
D
Day 1: 25
5
2
of the total distance home; Day 2: 12
2
1
of the total distance home; Day 3: 25
5
2
of the total distance home
Taylor's cat runs 15 miles in 30 minutes. At this rate how far will her can run in 3 1/2 hours?
Answer:
105 miles
Step-by-step explanation:
15 miles in half an hour so 30 miles each hour
30 miles*3 hours=90 miles
90 miles+15miles= 105 miles in 3 1/2 hours
A six-sided number cube is rolled 300 times. Predict how many times you would expect to roll a 4.
A.
40
B.
50
C.
60
D.
100
Answer:
50 of 300 times
Step-by-step explanation:
ABCD is a trapezium
AD and BC are parallel
Work out the length of BD to 1 decimal place
Work out the length of CD to 1 decimal place
Answer:
a) 12.1
b) 15.1
Step-by-step explanation:
express x^2 - 8x + 5 in the form (x - a)^2 - b where a and b are integers
Answer:
x^2 -8x + 5 = (x-4)^2 - 11
Step-by-step explanation:
Here we want to write the given expression in the form
x^2-8x + 5 can be written as follows;
(x-4)^2 = x^2 - 8x + 16
All we have to do is to subtract 11
Thus, we have it that;
x^2-8x + 5 = (x-4)^2 - 11
!!!!PLEASE HELP, PLATO TEST AND WILL GIVE FIRST CORRECT SERIOUS ANSWER BRAINLIEST!!!!
How many possible 3-digit area codes exist If 0 can't be the first digit, but digits can repeat?
A total of _?_ different 3-digit area codes exist.
The number of possible 3 - digit codes would be 900.
What is combination?"A combination is a way of selecting items from a collection."
For given situation,
It is a three digit code with 0 can't be the first digit.
This means the for this combination first digit can takes values from 1 - 9 and the second and third digits can take values from 0 - 9.
So, the number of possible 3 - digit codes would be,
9 × 10 × 10 = 900
Therefore, the number of possible 3 - digit codes would be 900.
Learn more about permutation and combination here:
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Find the missing side length.
12
15
X
Find two numbers such that their sum is 10 and their
product is 22.
Solve for the variable
-7 + m = -15
I needdd help PLEASEEE!!!! Which transformation would take Figure A to Figure B?
Answer:
a reflection over the line y= -x
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
You have $40 in a savings account and you deposit an equal amount into your account each week. After 8 weeks the account holds $128. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answer:
40+x=y
Step-by-step explanation:
Reuben hires a car. It costs £150, plus 85p for each mile he travels. When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles. How much did Reuben pay to hire the car?
Answer:
Cost of hiring a car = £63,815
Step-by-step explanation:
Cost of hiring a car = 150 + 85p
When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles.
Number of miles Reuben travelled = 28,361 miles - 27,612 miles
= 749 miles
Cost of hiring a car = 150 + 85p
= 150 + 85(749)
= 150 + 63,665
= 63,815
Cost of hiring a car = £63,815
