what number is 0.79 more than 0.97
Answer:
1.76
Step-by-step explanation:
0.79 + 0.97
The number 1.76 is 0.79 more than 0.97.
What are numbers?A number is a basic unit of mathematics. Numbers are used for counting, measuring, and comparing amounts. A number system is a set of symbols, or numerals, that are used to represent numbers.
Given what number is 0.79 more than 0.97,
Let the number be x,
x = 0.79 + 0.97
x = 1.76
Hence, the number 1.76 is 0.79 more than 0.97.
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E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units?
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]
The dimension of the big rectangle is given as:
Length: 3x - 1Width: 3x + 7So, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (3x - 1) \times (3x + 7)[/tex]
Expand
[tex]Area = 9x\² + 21x - 3x - 7[/tex]
[tex]Area = 9x\² + 18x - 7[/tex]
The dimension of the small rectangle is given as:
Length: 2x + 5Width: xSo, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (2x + 5) \times x[/tex]
Expand
[tex]Area = 2x\² + 5[/tex]
The area of the shaded region is the difference between the area of the big and small rectangles.
So, we have:
[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]
Expand, and collect like terms
[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]
[tex]Area = 7x\² + 13x - 7[/tex]
Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]
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Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
Complete question is;
Katie just opened a checking account at the bank. Within the first month, she deposited three checks for $21.68, $42.09, and $65.44. She withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
Write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
Answer:
Deposits are; +21.68, +42.09, and +65.44.
Withdrawals are; -4.64, -23.11, and -9.78
Step-by-step explanation:
We are told that the deposits are;
$21.68, $42.09, and $65.44.
Now, she withdrew $4.64 for new pencils, $23.11 for earbuds, and $9.78 for movies from her account in the same month.
We are told to write Katie’s withdrawals as negative rational numbers and her deposits as positive rational numbers.
A rational number is a number that can be expressed as the ratio of two integers. In this question, by inspection, all the given values for deposits and withdrawals can be expressed as the ratio of 2 integers.
Thus;
Deposits are; +21.68, +42.09, and +65.44.
Withdrawals are; -4.64, -23.11, and -9.78
Please help. I’m confused and dumb-
The residual for a predicted relative abundance when the rainfall was 3 inches is 1.25. What is the actual relative abundance when the rainfall was 3 inches
Answer:
The actual relative abundance will be "7.59".
Step-by-step explanation:
The residual on something like a curve anywhere at a point becomes expressed as the maximum at either the position between some of the real y-value as well as the expected y-value. Consequently, the difference regarding true relative abundance as well as expected relative abundance seems to be 1.25 whether we presume that the x-variable represents rainfall, as well as they-variable, represents the relative abundance of locusts.The predicted relative abundance for 3 inches rainfall will be:
= [tex]6.7 - (0.12\times 3)[/tex]
= [tex]6.34[/tex]
The residual will be:
= [tex]actual - predicted \ relative \ abundance[/tex]
= [tex]1.25[/tex]
Now,
The actual relative abundance will be:
= [tex]1.25 + predicted \ relative \ abundance[/tex]
= [tex]1.25 + 6.34[/tex]
= [tex]7.59[/tex]
Remember that perhaps the residual positive value means that even the calculation underestimates the relative abundance. The real relative abundance, however, is 7.59.
- What is the equation and the slope of the line shown on the grid?
Answer:Undefined
Step-by-step explanation: The line is going straight so it makes it undefined
Mr. Granados deposited $5,300 into an account. He made no additional deposits or withdrawals. Mr. Granados earned 6.5% annual simple interest on the money in the account. What was the balance in dollars and cents in Mr. Granados' account at the end of 6 years?
Barry and Evelyn know they want a 15 year mortgage for their new home purchase. They are planning to borrow $160,000. Two local lending institutions have similar offers. Loan A is offering a 3% annual interest rate leading to a monthly payment of $1104.93. Loan B is offering a 4% annual interest rate leading to a monthly payment of $1183.50.
Answer:
Loan A: $198887.40
Loan B: $213030
Step-by-step explanation:
To find the total payback use the equation:
P x 12 x t
P= monthly payment
t= time in years
Loan A: 1104.93 x 12 x 15= $198887.40
Loan B:1183.50 x 12 x 15= $213030
Hope this helps :)
The cost of 24 pounds of cat food is $54. What is the cost per pound of cat food?
O $2.20
O $2.50
O $2.00
O $2.25
Answer:
$2.25
Step-by-step explanation:
To find the cost per pound you have to divide $54 by 24.
Can someone factor f(x)= 2x^4 -12x^3 +6x +20x and please show steps thank you
Answer:
I dont think the way you wrote it was right.
Step-by-step explanation:
Answer:
f(x) = 2x(x - 5)(x -2)(x + 1)Step-by-step explanation:
Given
f(x)= 2x^4 -12x^3 +6x^2 +20xFactoring in steps
f(x)= 2x^4 -12x^3 +6x^2 +20x =2x(x^3 - 6x^2 + 3x + 10) =2x(x^3 - x^2 - 2x - 5x^2 + 5x + 10)2x(x - 5)( x^2 - x - 2) = 2x(x - 5)(x -2)(x + 1)
Please answer this question! as fast as possible please anyone help
the answer would be in the y=m(m=slope of the line)x + b( the y intercept) so it works be
y=3x+-3
In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate. On election day, 51% of voters actually voted for the Republican presidential candidate. (a) Identify the value of the sample proportion.
Answer: 0.48 .
Step-by-step explanation:
The sample proportion is a ratio of number of successes in a sample to the sample size.Let p be the proportion of voters actually voted for the Republican presidential candidate.
Given: In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate.
Sample proportion: [tex]\hat{p}=\dfrac{48}{100}=0.48[/tex]
Hence, the sample proportion is 0.48 .
Find the slope. (4,2) (7, 6.5)
Answer:
B.
Step-by-step explanation:
m=y2-y1/x2-x1
6.5-2=4.5
7-4=3
4.5/3=1.5
the slope is 1.5
hope this helps :3
if it did pls mark brainliest
just need the answer
Answer:
the pic is black send another one
If a data set is negatively skewed, which would be the best measure of spread? Select one:
Interquartile Range
Standard Deviation
Range
Answer:
Not real sure, but it should be Standard Deviation, if a data set is negatively skewed it would need a good measure for data spread.
Which of the following statements best describes the value of the expression 12x + 2 when x = 9?
A. The result is a fraction.
B. The result is a prime number.
C. The result is a composite number.
D. The result is a whole number that is neither prime nor composite.
Answer:
The answer is C.
Step-by-step explanation:
Hope this helps
Answer:
C
Step-by-step explanation:
12 x 9 = 108 + 2 = 110. 110 / 2 = 55 and 55 is a composite number.
Answer two questions about Equations A and B:
A. 3(x+2)=18
B. x+2=6
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide only one side by a non-zero constant
(Choice C)
C
Rewrite one side (or both) by combining like terms
(Choice D)
D
Rewrite one side (or both) using the distributive property
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Assume that adults have IQ scores that are normally distributed with a mean of μ= 105 and a standard deviation Ï =20 . Find the probability that a randomly selected adult has an IQ between 85 and 125 .
Answer:
0.68268
Step-by-step explanation:
We solve using z score
z = (x-μ)/σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
For x = 85
z = 85 - 105/20
z = -1
Probability value from Z-Table:
P(x = 85) = 0.15866
For x = 125
z = 125 - 105/20
z = 1
Probabilty value from Z-Table:
P(x = 125) = 0.84134
The probability that a randomly selected adult has an IQ between 85 and 125 is calculated as:
P(x = 125) - P(x = 85)
= 0.84134 - 0.15866
= 0.68268
which of the following statements is true?
A: 1.7 less than 1 1/2
B: 3/4 less than pr equal to 7/8
C: -1 1/2 less than -1.5
D:0.01 greater than 0.q
Answer:
the answer will be A 1.7 less than 1 1/2
Find the equation of the parabola with a focus at the point (2,5), and a directrix of y = 3.
Answer:
1,3
Step-by-step explanation:
Show a numerical expression of 1/3 of 11/16
Answer:
11/48 = 0.02083
I'm pretty sure-
PLEASEEE SOMONEE HELP ASAP!!
If the pattern shown continues how many black keys appear on a keyboard with 35 white keys ?
Answer:
25 black keys
Step-by-step explanation:
Let the number of requires black keys = 'x'
White key : Black keys = 7 : 5
7 : 5 :: 35 : x
Product of extremes = product of means
7 *x = 35 * 5
x = [tex]\frac{35*5}{7}[/tex]
x = 5 *5
x = 25
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I- I'm speechless
Do you even have a question-
HEY CAN ANYONE PLEASE HELP ME:))!!!
there could be a calculator online to solve it
A box has the following measurements:
Length - 8 cm
Width - 4.2 cm
Height - 3.1 cm
The volume of the box is calculated as length times width times height
Complete the statements to find the box's volume.
1. First multiply length times width. Show your work and explain how you placed the
decimal point
Answer:
33.6
Step-by-step explanation:
length× width
= 8×4.2
8.0
× 4.2
_____
160
+3200
_____
3360
______
Here, in the question it is 8×4.2. We kept .0 to 8. That is 8.0×4.2. Here, we have two decimal points. So we should keep the two decimal points in the answer. Then, the answer is 33.6
HELP ASAPPP
What is 60% of 40?
Answer:
The answer is 24
Step-by-step explanation:
Sasha traveled 200 miles in 4.5 hours at this rate how many miles can you travel in 10 hours round your final answer to the nearest mile
Answer:
844miles
Step-by-step explanation:
its 844 miles
12x64, 7th grade math
Answer:
768
Step-by-step explanation:
Answer:768
Step-by-step explanation:
the length of a rectangle is 7m more than twice the width, and the area of the rectangle is 99m to the second power. find the dimensions of the rectangle.
Answer:
The area of a rectangle is 99 m^2 , and the length of the rectangle is 7 m more than double the width
Step-by-step explanation:
HELP ME I WILL GIVE BRAINLIEST California has a population of approximately 4 × 10^7 people and South Dakota has a population of approximately 8 × 10^5 people.
Answer:
40000000 800000
Step-by-step explanation:
whats the question here?
Answer:
California has a population of 40,000,000
South Dakota has a population of 800,000
Step-by-step explanation:
Not sure exactly what the question is