Answer:
The slope = -5
Step-by-step explanation:
y ≥ -5x + 8
Look at the problem as y = -5x + 8 and compare to the slope intercept form. The slope = -5
The perimeter of a rectangle is 20x -18 feet. If the width of the rectangle is 3x -1 feet, write an expression that can represent the length of the rectangle.
Answer:
l = 7x - 9
Step-by-step explanation:
The length of the rectangle is represented by the expression "7x - 9".
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle is given by the formula:
Perimeter = 2 (length + width)
Therefore, we can set up the equation:
20x - 18 = 2 (length + (3x - 1))
Expanding the parentheses and combining like terms, we get:
20x - 18 = 2 × length + 6x - 2
Moving all the terms to one side, we get:
14x - 18 = 2 × length
Dividing both sides by 2, we get:
7x - 9 = length
Thus, the rectangle's length is expressed by the expression "7x - 9".
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(5.8 times 10^-15) - (4.4 times 10^-14)
Answer:
−3.82×10^-14
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
−3.82×10^-14
Theresa ran 7.56 miles this week. Write her distance as a mixed number and as an improper fraction.
Answer:
Mixed=7 14/25 improper=189/25
Step-by-step explanation:
If X is a factor of Y and Y is a factor of Z then X is a factor of Z. If so then how
PLS HELP HELP HELP HELP HELP HELP HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
then z is a factor of x??? huh??
Which ratio is equivalent to the given ratio? 8: 16 Select each correct answer. 16/31 1/3 1/2 12/24
[tex]8:16\implies \cfrac{8}{16}\implies \cfrac{1}{2}\implies 1:2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{16}{31}\qquad \bigotimes~\hfill \cfrac{1}{3}\qquad \bigotimes~\hfill \cfrac{1}{2}\qquad \textit{\large \checkmark}~\hfill \cfrac{12}{24}\implies \cfrac{1}{2}\qquad \textit{\large \checkmark}[/tex]
Answer:
1/2. and 12/24
they are both halves just as the ratio is half of the given number
The points in the table lie on a line. Find the slope of the line
Answer: Slope formula: m = y2 - y1/ x2 - x1
2 - (-2)/ 1 - 0
2 + 2/1
4/1
Slope = 4
Would appreciate brainly <3
hannah is making maffins. The recipe calls for 5/8 cup of milk to make 20 muffins. What is the unit rate for cups of milk per muffins? For muffins per cup of milk?
Answer:
32 muffins
Step-by-step explanation:
one cup of milk will make 32 muffins
you can set up a proportion of milk/muffins = milk/muffins
let 'x' = number of muffins made from one cup of milk
5/8 ÷ 20 = 1 ÷ x
cross-multiply to get 5x = 20(8)
5x = 160
x = 32
HELPPP PLEASE!!!!!!
HELP!!!!!!!
Answer:
4 pounds
Step-by-step explanation:
when you match it on the graph it corresponds to 4
steps
match 18 which is in between 16 and 20 to the weight and you will see it moves and is correspondence to 4
Can someone Please abswer this i'll give 40 points and maybe brainliest for the best answer :]
Answer:
2. d. 0.0008
3. b. 0.07
4. c. thousandths
5. c. 0.005
An editor has a stack of k documents to review. The order in which the documents are reviewed is random with each ordering being equally likely. Of the k documents to review, two are named “Relaxation Through Mathematics” and “The Joy of Calculus.” Give an expression for each of the probabilities below as a function of k. Simplify your final expression as much as possible so that your answer does not include any expressions in the form a b . (a) What is the probability that “Relaxation Through Mathematics” is first to review?
Using the probability concept, it is found that there is a [tex]\mathbf{\frac{1}{k}}[/tex] probability that “Relaxation Through Mathematics” is first to review.
A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
There is a total of k documents to be reviewed, hence [tex]T = k[/tex].Of those documents, 1 is named “Relaxation Through Mathematics”, hence [tex]D = 1[/tex]The probability is:
[tex]p = \frac{D}{T} = \frac{1}{k}[/tex]
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product of x and 4 is decreased by one-quarter
Answer:
x
Step-by-step explanation:
x times 4 = 4x
4x in 4 quarters: x x x x
One quarter^^ = x
the orginial price of a pumkin is 3 $ if there is a sale of 25 percent of what is the orginial price
Answer:
$12
Step-by-step explanation:
How much longer is dinner than the slide show?
Slide Show: 4:15 P.M. to 5:10 P.M.
Dinner: 5:30 P.M. to 7:00 P.M.
Answer:
35
Step-by-step explanation:
A particular county with a population of 7.9 million people. In that county, an average of 96 people per year die by falling from a balcony each year.Assuming that these figures are current, what is the probability that a randomly selected individual from this country will die by falling from a balcony in a given year? Express your answer as a decimal rounded to 8 decimal places. Do not convert it to a percentage
Answer:
7.9000000÷96
=0.0822916667
MARK ME BRAINLIEST PLS I WILL GET A NEW RANKsarah had $40 at the beginning of the week. She babysat 3 days and by Saturday had $110. what is the percent increase
Answer:
175% increase
Step-by-step explanation:
a simple random sample of 60 items resulted in a sample mean of 80.
Answer:
(c) The effect of a larger sample size on the margin of error is that the margin of error will increase.
Step-by-step explanation:
please help! will mark brainlist
Answer:
Step-by-step explanation:
Group B, lower values of dots, with lower amounts of dots.
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100100100 pieces of sushi in total.
Sofia had already ordered and paid for 242424 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 121212 pieces and costs \$8$8dollar sign, 8.
Let RRR represent the number of additional rolls that Sofia orders.
1) Which inequality describes this scenario?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
12+24R \leq 10012+24R≤10012, plus, 24, R, is less than or equal to, 100
(Choice B, Checked)
B
12+24R \geq 10012+24R≥10012, plus, 24, R, is greater than or equal to, 100
(Choice C)
C
24+12R \leq 10024+12R≤10024, plus, 12, R, is less than or equal to, 100
(Choice D)
D
24+12R \geq 10024+12R≥10024, plus, 12, R, is greater than or equal to,
Inequalities are used to represent unequal expressions.
The inequality is [tex]24 + 8R \ge 100[/tex]
The given parameters are:
[tex]Paid = 24[/tex]
[tex]Rolls = 12[/tex]
[tex]Cost = 8[/tex] --- the unit cost per roll.
Assume the number of additional roll is R.
So, the total number of sushi is:
[tex]Total=Paid + Cost \times R[/tex]
This gives
[tex]Total=24 + 8\times R[/tex]
Multiply 8 and R
[tex]Total=24 + 8R[/tex]
The sushi needed is at least 100.
This implies that:
[tex]Total \ge 100[/tex]
So, we have:
[tex]24 + 8R \ge 100[/tex]
Hence, the inequality is [tex]24 + 8R \ge 100[/tex]
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Write the value of the underlined digit in words 5.3479? 7 being the underlined number.
The place value of 7 in words in 5.3479 is seven thousandths
The given number is 5.3479
The underlined digit has been identified as 7
The place values of each of the digits in 5.3479 are:
5 = 5 units
3 = 3 tens
4 = 5 hundredths
7 = 7 thousandths
9 = 9 ten thousandths
Therefore, the place value of 7 in words in 5.3479 is seven thousandths
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Which graph represents the function y = 2x - 4?
ТУ
2
2
.
4
X +
x
-4 -3 -2 -1
X
TO
O
-3 -2 -1
2.34
Answer:
the third graph.
the one where x intercept with 2
Step-by-step explanation:
2x-4=0
2x=4
x=2
therefore the graph should have a line that have a x-intercept of 2
A fair, six-sided dice is thrown once.
Select the probability of a 3 showing on the dice.
Answer:
1/2
Step-by-step explanation:
The dice has 6 faces therefore the probability that three will show is 3/6 which when divided gives you 1/2
A researcher estimates that a fossil is 3200 years old. Using carbon-14 dating a procedure used to determine the age of an object the researcher discovers that the fossil is 3600. Find the percent error
Answer:
11.1
Step-by-step explanation:
The percentage error for the given data will be 12.5%
What is the percentage?According to its definition, a percentage is any number relative to 100. It is shown with the sign %. "Out of 100" is what the percentage means. Consider dividing any quantity or item into 100 identical bits.
The percentage error will be calculated as:-
percent error = (|experimental value - theoretical value| / theoretical value) x 100
In this case, the experimental value is 3600 years (from carbon-14 dating) and the theoretical value is 3200 years (from the researcher's estimate). Plugging these values into the formula:
percent error = (|3600- 3200| / 3200) x 100 = (400/ 3200) x 100 = 12.5%
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Your parents decide to build a rectangular pool in your backyard. They determine that the length of the pool should be 15 feet longer than the width.
The area of the pool is the amount of space it occupies
The expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and [tex]\mathbf{P = 4x +30}[/tex], respectively
Let the dimension of the pool be x and y, where x represents width and y represents length.
So, the relationship between the width and the length is given as:
[tex]\mathbf{y = 15 + x}[/tex]
The area of the pool would be:
[tex]\mathbf{A = xy}[/tex]
Substitute 15 + x for y
[tex]\mathbf{A = x(15 + x)}[/tex]
Open bracket
[tex]\mathbf{A = 15x + x^2}[/tex]
And the perimeter of the pool would be
[tex]\mathbf{P = 2(x + y)}[/tex]
Substitute 15 + x for y
[tex]\mathbf{P = 2(x +15 + x)}[/tex]
[tex]\mathbf{P = 2(2x +15)}[/tex]
Open brackets
[tex]\mathbf{P = 4x +30}[/tex]
Hence, the expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and [tex]\mathbf{P = 4x +30}[/tex], respectively
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During the NCAA basketball tournament season, affectionately called March Madness, part of one team's strategy is to foul their opponent if his free-throw shooting percentage is lower than his two-point field goal percentage. Juan's free-throw shooting percentage is lower and is only 53.5%. After being fouled he gets two free-throw shots each worth one point. Calculate the expected value of the number of points Juan makes when he shoots two free-throw shots.
Using the binomial distribution, the expected value of the number of points Juan makes when he shoots two free-throw shots is 1.07.
For each shot, there are only two possible outcomes, either Juan makes it, or he misses it. The probability of making a shot is independent of any other shot, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability, and the expected value is:
[tex]E(X) = np[/tex]
In this problem:
Two shots, hence [tex]n = 2[/tex]He makes 53.5% of the shots, hence [tex]p = 0.535[/tex].Then:
[tex]E(X) = np = 2(0.535) = 1.07[/tex]
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Terry and Jim have two car loans totaling $ 26,004.
One loan has an annual percentage rate (APR) of 3.1 % and the other has an APR of 7%.
If the total interest they paid after one year is $1,481.25, what is the amount owed on each car?
(1 = PRT. Note t = 1 year).
Answer needed right away!! With explanation
The annual percentage rate is the interest rate for payment for the car
loan.
The mount owed on the car with an APR of 3.1% is approximately $8,693.08.The mount owed on the car with an APR of 7% is approximately $17,310.92.The given parameters are;
The amount of loan Terry and Jim have = $26,004
The annual percentage rate (APR) on one loan = 3.1 %
The annual percentage rate (APR) on the other loan = 7 %
Total interest paid after one year = $1,481.25
Required:
The amount owed on each car
Solution:
Let X represent the loan, with 3.1% APR, we have;
The other loan with 7% APR = 26,004 - X
Therefore;
0.031·X + 0.07·(26,004 - X) = 1,481.25
0.031·X + 1,820.28 - 0.07·X = 1,481.25
1,820.28 - 1,481.25 = 0.07·X - 0.031·X = 0.039·X
339.03 = 0.039·X
[tex]X = \dfrac{339.03}{0.039} \approx 8693.08[/tex]Therefore;
The amount owed on the car with an APR of 3.1%, X ≈ $8,693.08Therefore;
The amount owed on the car with an APR of 7% ≈ 26,004 - 8693.08 =
17310.92.
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Use the slope formula to determine the slope of the line containing the two points. Type your answer as an integer or reduced fraction in improper form if necessary.
Answer:
The slope is:
[tex] \binom{1}{2} [/tex]
In slope-intercept form the equation is:
[tex]y = \binom{1}{2} x - 3[/tex]
Which expressions are equivalent to (1/3x - 4x - 5/3x) - (-1/3x -3)?
Select all correct expressions.
-5x + 3
2x - 3 + 3x
-2x + 3 - 3x
-3 + 5x
Answer:
-5x + 3
Step-by-step explanation:
1/3 x - 4x -5/3x + 1/3 x +3
2/3 x -4 -5/3x + 3
3/3x -4x +3
-1 1x -4x + 3
- 5x + 3
:)
a chef is going to use a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second Brian contains 15% vinegar. The chef wants to make 390 mL of a dressing that is 8% vinegar. How much of each brand should she use?
Answer:
273 mL of 5%117 mL of 15%Step-by-step explanation:
Let q represent the quantity of 15% dressing used. Then the amount of 5% dressing is (390 -q). The amount of vinegar in the mix is ...
0.15q + 0.05(390 -q) = 0.08(390)
0.10q = 31.2 -19.5 = 11.7 . . . . . . subtract 0.05(390) and simplify
q = 117 . . . . . . . . . . . . . . . . . . multiply by 10
390-q = 273
The chef should use 273 mL of the first brand (5% vinegar) and 117 mL of the second brand (15% vinegar).
__
Additional comment
You may have noticed that the value of q is (0.08 -0.05)/(0.10 -0.05)×390. The fraction of the mix that is the highest contributor is the ratio of the difference between the mix value and least contributor, divided by the difference between the contributors: (8-5)/(15-5) = 3/10, the fraction that is 15% vinegar. This is the generic solution to mixture problems.
The two legs of a right triangle are and . The hypotenuse is . Solve for in terms of the other variables.
What's the answer I'm very confused.
Answer:
the answer is c
Step-by-step explanation:
u welcome
The value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).
What is the Pythagoras Theorem?According to the Pythagoras Theorem, in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
How to solve the question?In the question, we are shown a right triangle with the hypotenuse as t, and the legs as r and s.
We are asked to solve for r in terms of other variables.
By Pythagoras theorem in the given right triangle, we can say that:
r² + s² = t², which is the required equation.
To solve for r in terms of other variables, we do as follows:
r² + s² = t²,
or, r² + s² - s² = t² - s² {Subtracting s² from both sides of the equation},
or, r² = t² - s² {Simplifying},
or, r = √(t² - s²) {Square rooting both sides of the equation}.
Thus, the value of r in terms of other variables in the given right triangle using the Pythagoras theorem can be shown as r = √(t² - s²).
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Which graph represents the solution set of 3x - 4y <-8
Answer:
xd
Step-by-step explanation:
3X+4y=8
this is the graph that represents the solution