Answer:
120 square inches
Step-by-step explanation:
From the above question, we are told that:
Rectangle ABCD is similar to Rectangle WXYZ .
The area of ABCD is 30 square inches.
We are also given the ratio of their side length = 1/2
To the find the area of the second rectangle, the scale factor = k² is required where:
k = ratio of the side lengths
Let us represent the area of the.secind Rectangle as = x
Because the ratio of the corresponding side lengths is 1/2, the ratio of the areas is equal to (1/2 ) to the second power.
Hence
30/x = k²
30/x = (1/2)²
30/x = 1/4
We cross Multiply
= 30 × 4 = x
x = 120 square inches.
Therefore, the area of Rectangle WXYZ is 120 square inches.
Which equation is the inverse of y = 16x2 + 1?
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Step-by-step explanation:
[tex]y = 16 {x}^{2} + 1 \\ \\ y - 1 = 16 {x}^{2} \\ \\ \frac{y - 1}{16} = {x}^{2} \\ \\ \pm \sqrt{ \frac{y - 1}{16} } = x \\ \\ x = \pm \frac{ \sqrt{y - 1} }{4} \\ \: this \: is \: the \: required \: inverse \: \\ equation \: of \: y = 16 {x}^{2} + 1[/tex]
The equation that represents the inverse of y = 16x² + 1 is y = ±√[(x - 1)/16]
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let us find the inverse of the equation y = 16x² + 1.
To find inverse we need to replace y with x and x with y in the original equation to obtain:
x = 16y² + 1
Now solve for y in terms of x by rearranging the terms
x - 1 = 16y²
Divide both sides by 16
y² = (x - 1)/16
Take square root on both sides.
y = ±√[(x - 1)/16]
Therefore, the equation that represents the inverse of y = 16x^2 + 1 is:
y = ±√[(x - 1)/16]
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Which of the following shows the greatest percent increase?
A. 50 increased to 75
B. 500 increased to 700
C. 5,000 increased to 7,000
D. 50,000 increased to 74,000
50 increased to 75 (option A) shows the greatest percent increase.
How to solve for percentage increase?To determine which of the given options shows the greatest percent increase, we can calculate the percent increase for each option using the following formula:
percent increase = (new value - old value) / old value x 100%
Using this formula, we can calculate the percent increase for each option as follows:
A. percent increase = (75 - 50) / 50 x 100% = 50%
B. percent increase = (700 - 500) / 500 x 100% = 40%
C. percent increase = (7,000 - 5,000) / 5,000 x 100% = 40%
D. percent increase = (74,000 - 50,000) / 50,000 x 100% = 48%
Therefore, the option that shows the greatest percent increase is option A, which increased from 40 to 75, a percent increase of 50%.
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The number of animals at the is shown in the table. Write a ratio to represent giraffes to otters.
Answer:
The ratio of giraffes to otters is 8:16. If simplified it's 1:2
Step-by-step explanation:
The coffee shop also sells small bag of coffee beans. the bags come in two 4/5 kilogram and 7/12 kilogram. How much more coffee does the bigger bag have?
The bigger bag have 13/60 kilogram more coffee.
What is fraction?A fraction is defined as numerical representation for part of a whole which represents a rational number.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that the bags come in two 4/5 kilogram and 7/12 kilogram
⇒ 4/5
⇒ 7/12
We will first establish that there has a comparable denominator.
Multiply by (12/12) in the fraction 4/5
⇒ 4/5 (12/12)
⇒ 48/60
Multiply by (5/5) in the fraction 7/12
⇒ 7/12 (5/5)
⇒ 35/60
Determine the difference between fractions as :
⇒ 48/60 - 35/60
⇒ 13/60 kilogram
Hence, the bigger bag have 13/60 kilogram more coffee.
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Sara pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges costs $0.75 more than one pound of bananas. Let b represent the price per pound of bananas. What equation represents the situation, and what is the price per pound of each fruit?
The price of one pound of banana = b
As one pound of oranges costs $0.75 more than one pound of bananas, so, the price of one pound of orange = b+0.75.
The price of 3 pounds of banana = 3b,
and the price of 2 pounds of oranges = 2(b+0.75).
Now, as she pays $4.50 for 3 pounds of bananas and 2 pounds of oranges.
So, for this situation the required equation is
3b + 2(b+0.75) =4.5
On solving this equation, we have
[tex]\Rightarrow 3b+2b+2\times0.75=4.5[/tex]
[tex]\Rightarrow 5b +1.5=4.5[/tex]
[tex]\Rightarrow 5b =4.5-1.5=3[/tex]
[tex]\Rightarrow b =\frac 3 5=0.6[/tex]
Hence, the price of one pound of banana = $ 0.60
and the price of one pound of orange
=b+0.75= 0.60+0.75=$1.35.
*EXTRA POINTS PLEASE ANSWER* What is the slope and y-intercept in the equation y = x - 4. *
Answer:
slope: 1
y-intercept : (0, -4)
Step-by-step explanation:
hope this helps! :D
Answer:
x-intercept(s): (4,0)
y-intercept(s): (0,-4)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
help if u can please
Money with Tom = ×
Money with Aaron = x + 8
Their sum = $20
This can be written as :
= x + x + 8 = 20
= 2x + 8 = 20
= 2x = 20 - 8 ( transposing +8 from LHS to RHS changes +8 to -8 ) .
= 2x = 12
= x = 12 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 ) .
= x = 6
Which means ,
Tom has = x = $6
Aaron has = x + 8 = $6 + $8 =
= $14
Therefore , Tom has = $6 and Aaron has = $14 .
What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?
Answer:
y=2x-15
Step-by-step explanation:
In parallel lines the gradient is always the same. then we sub the coordinates in to find c.
so
1=2(8)+c
c equals to -15 t
then
y=2x-15
10. Separate the number 38 into two parts so
that one number is 6 less than the other
number
Answer:
16, 22
Step-by-step explanation:
x+x+6=38
2x+6=38
2x=32
x=16
One number is 16, Another number is 22
16+22=38
22-16=6
helppp pleaseee
Consider the functions below.
f(x) = x
g(x) = 3x
Which of the following statements describes the graph of function g?
The graph of g is 3 times steeper than the graph of f.
The graph of g is 3 units to right of the graph of f.
The graph of g is 3 units to left of the graph of f.
The graph of g is times as steep as the graph of f.
Answer:
The graph of g is 3 times steeper than the graph of f.
Step-by-step explanation:
I just did it and got it right
Answer:
The graph of g is 3 times steeper than the graph of f.
Step-by-step explanation:
. Keisha and her mom are at the grocery store. Keisha's mom allows her to buy a 2 pound bag of candy. Keisha can choose gummy worms, which are .40 cents per pound, or she can choose sour patches, which are .60 cents per pound. How much of each candy can Keisha buy?
Answer:
She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches
Step-by-step explanation:
Keisha is allowed to buy only 2 pounds bag of candy.
Now, she can choose either gummy worms or sour patches.
Gummy worms are 0.4 cents per pound while sour patches are 0.6 cents per pound.
Thus, maximum amount she can spend on gummy worms is; 0.4 × 2 = 0.8 cents
Maximum she can spend on sour patches is; 0.6 × 2 = 1.2 cents
She can buy 0.8 cents worth of Gummy worms and 1.2 cents worth of sour patches
12 5/8 in decimal form
The hourly wage increase each employee receives each year depends on their number of years of service. Every three years of service means an increase of $0.50 per hour. So, employees that have been with the company for less than three years can expect to receive an increase of $0.50 per hour. Employees that have been with the company for at least three years, but less than six years can expect an increase of $1.00 per hour. Employees that have been with the company for at six years, but less than nine years, receive an increase of $1.50 per hour. And, employees of at least nine years, but less than twelve years receive an increase of $2.00 per hour.
Choose a function to represent this scenario
Answer:
12.625
Step-by-step explanation:
12 is a whole so it would go before the decimal point.
5/8 or 5 divided by 8 is equal to 0.625.
12 + 0.625 = 12.625
PLEASE HELP!!! MATH FINAL
Answer:
He Won 26 Box trolls and 11 Pikachus
Step-by-step explanation:
You subtract 37-11 which would get you 26
f(x) = x2 + 1
What is f(f(x))?
Answer:The x could just mean a variable but I don't know what F means sorry.
Step-by-step explanation:
Aliza needs to run at a rate faster than 8.8 feet per second in order to exceed her fastest time in a race. After running for 15 minutes, her coach determines that she is running at an average rate of 5.8 miles per hour. He concludes that she is not running fast enough to exceed her fastest time.
Answer:
Answer: The question is a multiple choice so it's A and C:)
Answer:
He used an incorrect time ratio converting hours to minutes.
He incorrectly concluded that she is not running fast enough.
Stephen plans to attend community college for two years. His expenses are only $2,000 each year, because his parents are paying the rest. He earned a one-time $900 scholarship. How much will he need to pay for the two years of college from his savings or by working? $1,100 $2,200 $3,100 $4,900
Answer: $3100
Step-by-step explanation:
Stephen plans to attend community college for two years and his expenses are only $2,000 each year. For both years, his expenses will be:
= $2000 × 2
= $4000
Since he earned a one-time $900 scholarship. The amount left to pay will be:
= $4000 - $900
= $3100
Answer:
3100
Step-by-step explanation:
if 3n-4=8 then what is the value of 5n-3
Answer:
17
Step-by-step explanation:
Given
3n - 4 = 8 ( add 4 to both sides )
3n = 12 ( divide both sides by 3 )
n = 4
Thus
5n - 3 = 5(4) - 3 = 20 - 3 = 17
You receive a gift card for an
online game. Every time you play,
you spend the same amount of
money. After playing 2 games,
the card balance is $17.70. After
5 games, the balance is $14.25.
Determine the original value of the
card. Explain.
1890s was rounded to the nearest 10 what is the upper bound
Answer:
When rounding to the nearest ten, like we did with 1890 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
Step-by-step explanation:
Help asap!!
Jenny predicted that she would sell 12 bracelets, but she actually sold 16 bracelets. Which expression would find the percent error? Use the table below to help answer the question.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Bracelets
12
16
–4
4
-4/12(100)
-4/12
4/16
4/16(100)
4/16(100)
Step-by-step explanation:
Answer:
4/16(100)
Step-by-step explanation:
Describe the transformation
A) reflection across the y-axis
B) reflection across the x-axis
C) translation 4 units to the right
D) reflection across the line y=x
Option A is correct answer, reflection across y axis
Answer:
A
Step-by-step explanation:
Mrs. Lowry drove 20 miles in 25 hour. What is Mrs. Lowry’s speed in miles per hour?
Answer:
Mrs. Lowry is driving 0.8 mph.
Step-by-step explanation:
If she is going 20 miles per 25 hours you would set up the problem as 20/25 or 20 ÷ 25. This is because you need to get down to how many miles she is traveling per 1 hour. So, 20 ÷ 25 = 0.8. Therefore she is going 0.8 miles per 1 hr.
9 is 10 times the value of the 9 in 329,513
2 is 110 the value of the 2 in 7,562
6 is 110 the value of the 6 in 4.68
Answer:
498,173.26.
Step-by-step explanation:
The place value of 9 in the number 3, 29,513 = 9000
In the required number,
Place value of 9 is 10 times of the value of 9 in 329, 513 = 9000 * 10 = 90,000
The value of 2 is one-tenth of 2 in 7562 = 2/10 = 0.2
The value of 6 is one-tenth value of 6 in 4.68 = 0.60/10 = 0.06
Thus, the required number would be 498,173.26 as the other numbers do not justify the above conditions of having 9 at ten thousand place, 2 at tenth, and 6 in hundredth place.
Can someone please answer my math question:(
Answer:
were is the pic I cant answer lik
4j+2=h solve for j please help
Answer:
j = [tex]\frac{h-2}{4}[/tex]
Step-by-step explanation:
Given
4j + 2 = h ( subtract 2 from both sides )
4j = h - 2 ( isolate j by dividing both sides by 4 )
j = [tex]\frac{h-2}{4}[/tex]
How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.
Answer:
10
BEEP
BPEE
BEPE
EEPB
EEBP
EBEP
EPEB
PBEE
PEEB
PEBE
Answer:
12
Step-by-step explanation:
4! is 4*3*2*1
since there were 4 letters 4 could be chosen at the first letter
since one of the letters were chosen only 3 could be chosen as the second letter
and then it is 2 because there are 2 letters left
and 1 because there is only 1 letter left
so 4!
Then you divide by 2 because the 2 es are indistinguishable
Solve the power equation
x to the 1/2 power + 3=5
Answer:
x = 4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
What is the solution of the equation x2=64
Please someone help meee!!
Option B is the correct answer
Six potted plants cost $48, at this rate what is the cost per plant?
Answer:
cost per plant is 8 dollars
Step-by-step explanation:
48÷6=8
8×6=48
Answer:
Step-by-step explanation:
Cost of six potted plants = $ 48
Cost of one potted plant = 48 ÷ 6
= $ 8