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!
Arrange the values in order from least to greatest.
34%
.23
18/25
Answer:
.23, 34%, 18/25
Step-by-step explanation:
34% = 0.34 (2)
.23 = 0.23 (1)
18/25 = 0.72 (3)
Simply (square root) 36x^3
Ciara is making a new dance outfit. She needs 2 1/2 yards of fabric for the shawl. She needs 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need. If each yards of fabric cost 7.98, How much money does she need.
Answer: See explanation
Step-by-step explanation:
Amount of yards of fabric for the shawl = 2 1/2
Amount of yards of fabric for the dress = 1 3/4
Total amount of yards needed
= 2 1/2 + 1 3/4
= 2 2/4 + 1 3/4
= 3 5/4
= 3 + 1 1/4
= 4 1/4
Since she has 3 yards of fabric, the number of yards needed more will be:
= 4 1/4 - 3
= 1 1/4
If each yard = 7.98, the amount needed will be:
= 1 1/4 × 7.98
= 1.25 × 7.98
= 9.975
A dolphin in an aquarium is 12 feet long. A scale model of the dolphin is 3 1/2 inches long. What is the scale factor of the model?
Answer:
3 3/7
Step-by-step explanation:
12 / 3 1/2 = 12 / 3.5 = 24/7 = 3.42857142857 = 3 3/7
Tiffany took out a total of $10,000 in subsidized Stafford loans for her four-year college education. How much interest that accrued during her four years of college will she have to repay assuming a market rate of 6 percent?
Answer:
$2,400
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 6%/100 = 0.06 per year,
then, solving our equation
I = 10000 × 0.06 × 4 = 2400
I = $ 2,400.00
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 6% per year
for 4 years is $ 2,400.00.
The Green family went to dinner and the bill was $67.45. Mr. Green wanted to leave an 18% tip
for the waiter. How much is the total bill?
A number is at maximum 20
Answer:
19
Step-by-step explanation:
What is the y-intercept, b, of the additive relationship represented by this table?
Enter your answer as an integer in the box.
b =
x y
1 4
3 6
Answer:
b = 3Step-by-step explanation:
Use the table to find the slope and y-intercept
Find the slope:
m = (6 - 4)/(3 - 1) = 2/2 = 1Find b using the pair (1, 4):
4 = 1*1 + bb = 4 - 1b = 3The line is:
y = x + 3The y-intercept is 3
Answer:
b = 3
Step-by-step explanation:
Nimer was driving to a hotel. He looked at his sat nav at 13:30 and saw the following distance to destination = 65miles nimer arrived at the hotel at 14:48 work out the average speed of the car in mph, from 13:30 to 14:48
Answer:Average speed =50 miles per hour or 50mph
Step-by-step explanation:
We know that Speed is given as= Distance/ Time
Nimer's distance to his destination = 65 miles
Time taken to his destination = 13:30 to 14:48
which is = 14:48--13:30 = 1:18 mins
Converting 1hr 18mins to hours = 1 hour + 18/ 60 = 1 + 0.3 = 1.3 hours
Average speed =Distance/ Time
Average speed = 65miles/ 1.3hr = 50 miles per hour
Find a value for n that makes the statement true.
n÷4>1
Answer:
N= 2, 12, 16, 20....
Step-by-step explanation:
Answer:
n>4
Step-by-step explanation:
n÷4>1
Write the divison as a fraction
1/4n>1
Multiply both sides of inequality by 4
n>4
Which set of ordered pairs (x, y) could represent a linear function?
A = {(0,-5), (3,-2), (6,0), (9,3)}
B = {(-7,5), (-5,4), (1,1), (5, -1)}
C = {(-7,-4), (0, -1), (4,1), (6,2)}
D = {(-2,3), (0,2), (2,0), (4, -2)}
which on is the right answer?
Answer:
A.
Step-by-step explanation:
Graphed them
i hope this helps :)
387.4 rounded to the nearest tenth
Answer:
387.4 is the answer
Step-by-step explanation:
hope this helps=)
Answer:
387.4 rounded to the nearest tenth is 387 because if it's 4 and below you'll get the ones place the same. And if it's 5 and over, the ones place will go up...
Task 4:
A carnival attraction tests your strength by how far in the air
you can drive a weight with a hammer. If the weight
reaches 15 feet you win a prize! The equation
h = -1612 + 317 + 2 gives the height h of the weight t seconds
after you hit it.
A: How long is the weight moving?
B: What was the weight's maximum height?
C: Did you win a prize? How do you know?
B i think i am sorry if it is not right but i am pretty sure i am right tho
Max completed 140 questions on DFM last week.
This week, Max completed 182 questions.
Find the percentage increase.
Answer:
30%
Step-by-step explanation:
182-140=42(increase)
increase ÷ original × 100 %
= 42÷140×100%
=30%
The percentage increase from the old number to new number is 30 percent.
Given that, Max completed 140 questions on DFM last week. This week, Max completed 182 questions.
We know that, percentage increase = (New Number - Original Number)/Original Number ×100
= (182-140)/140 ×100
= 42/140 ×100
= 4200/140
= 30%
Therefore, the percentage increase is 30 percent.
To learn more about the percentage visit:
brainly.com/question/24159063.
#SPJ2
solve for x and y
-4x + 9y = 9
x - 3y = -6
Answer:
Solve for x:
[tex]x = \frac{9(y - 1)}{4} [/tex]
Solve for y:
[tex]y = \frac{4x}{9} + 1[/tex]
Lillian has $80 in a savings account. The interest rate is 10%, compounded annually.
To the nearest cent, how much interest will she earn in 2 years?
A wedding dress was marked up 35% and is now selling for $270.00. What was the original price of the dress?
Answer:
365.50 dollars
Step-by-step explanation:
multiply 270 by 35% then add that to 270
Can someone please help me with b c and d?
Answer:
DO NOT CARE
Step-by-step explanation:
PLEASE HELP DUE IN 10 MINUTES!!!!!!!!!!
convert 5/11 to a decimal using long division
Answer:
the answer is 0.45
Step-by-step explanation:
You open a savings account with a beginning balance of $600. You plan on depositing $50 every month until you have enough money to purchase a car which costs $2500. However, your parents remind you that it's probably not a good idea to empty your entire savings account so they recommend leaving a balance of $500 in your account. How many months will it take you to have enough money saved to purchase the car AND still have a $500 balance? Set up an equation and solve.
Answer:
48 months
Step-by-step explanation:
first take how much you need and add how much you want to leave, so 2500+500=3000. Then delete 600 from 3000, which will give you $2400. divide $2400 by 50 which gives you 48. it will take 48 months to get enough money to purchase a car at $2500 and leave $500 in the account.
plz help me thx u
if u have a question abt the question just ask me in the comments
plz help i will give brainliest
Answer:
113°
Step-by-step explanation:
53+6+8= 67
180-67=113
If there were 40 pieces of fruit, how many apples would there be? How many pears would there be?
Please help ❤️❤️❤️❤️☺️☺️☺️☺️☺️☺️
Answer:
Technically, however many you wanted (up to 40)
20 apples, 20 pears.
10 apples, 30 pears.
39 apples, 1 pear.
Step-by-step explanation:
N/A.
Which table represents only values described by the relationship between a and b?
a =b+8.6
i give brainlest
Answer:
a
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which pairs of equations are parallel?
a) y = 3x + 4 and y = 3x+1
b) y =- 3x + 4 and y = 3x + 1
c) y=x-1 and y = x+1
d) y = 2x + 3 and y = 2x + 1
Answer:
x by 1 times 15 to the third power
Step-by-step explanation:
Oliver buys 4 pineapples. Each pineapple is
$2 off the original price. He pays $4. What is
the original price of a pineapple?
Answer:
hello
Step-by-step explanation:
pls help w this math question
Answer:
y≥-10
Step-by-step explanation:
First step when you are give numbers, make a formula:
y+9≥-1
The next step is simply to subtract 9 from both sides to isolate the variable.
y≥-10
i hope this helps u!
pls five thanks and brainliest ;)
Sam deposited $400 into her savings account that earned 4.5% interest per year. How much money did she have after 2.5 years?
Answer:
$445
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.5%/100 = 0.045 per year,
then, solving our equation
I = 400 × 0.045 × 2.5 = 45
I = $ 45.00
The simple interest accumulated
on a principal of $ 400.00
at a rate of 4.5% per year
for 2.5 years is $ 45.00.
If you roll a 6-sided die 6 times, what is the best prediction possible for the number of times you will roll a two?
Answer:The best prediction is 1/6 of the times or one time of the six that you will roll a two..
This is because without any interference, each of the six numbers of the dice will have same theoretical probability (which is the probability or chances that is expected.