Answer:
The answer is 94.
Step-by-step explanation:
In order to determine the answer, we have to know about the mean of a group of values. When we need to calculate the mean, first we have to sum all the values. Then, we have to divide this result by the amount of datas.
In this case, we have 8 datas of differents bowling scores.
The sum of all values is:
[tex]74+88+89+95+99+100+101+106=752[/tex]
Finally, the mean is:
[tex]Mean=\frac{752}{8}= 94[/tex]
The mean for the data is 94.
Manuel builds and sells wooden crates. He made this table to show how much his crates cost in dollars.
Number of crates 2 4 6 8
Cost ($) $25 $45 $65 $85
Which equation represents this situation, where x is the number of crates and y is the cost? A)y−2=−10(x−25) B) y−85=10(x−8) C)y−65=−10(x−6) D)y−4=10(x−45)
The equation representing the Manuel's situation is -
y = 10x + 5
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
The equation of a straight line in point slope form can be also written as-
[tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
We have the following problem -
Manuel builds and sells wooden crates. He made this table to show how much his crates cost in dollars -
Number of crates (n) 2 4 6 8
Cost ($) $25 $45 $65 $85
We can write the equation as -
y = mx + c
y = {(45 - 25)/(4 - 2)}x + c
y = 10x + c
c = 25 - 10 x 2
c = 5
Therefore, the equation representing the Manuel's situation is -
y = 10x + 5
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Melissa buys 2 1/2 pounds of salmon and 1 1/4 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish? A. $15.60 B. $15.80 C. $16.60 D. $16.80
We are required to find the cost of 1 pound of salmon and 1 pound of swordfish
The cost of 1 pound of salmon and 1 pound of swordfish is $16.60
let
cost of a pound swordfish = x
cost of a pound salmon = y
x = y - 0.20. (1)
2.5y + 1.25x = 31.25. (2)
Substitute x = y - 0.20 into (2)
2.5y + 1.25x = 31.25
2.5y + 1.25(y - 0.20) = 31.25
2.5y + 1.25y - 0.25 = 31.25
2.5y + 1.25y = 31.25 + 0.25
3.75y = 31.5
y = 31.5 / 3.75
y = 8.4
Recall,
x = y - 0.20. (1)
x = 8.4 - 0.20
x = 8.2
Therefore, the cost of a pound swordfish, x is $8.2 and cost of a pound salmon, y is $8.4
Total cost of 1 pound of salmon and 1 pound of swordfish = $8.4 + $8.2
= $16.6
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How many ants does it take to have the same mass as an elephant
Final answer:
To equal the mass of an elephant weighing 8 metric tons, it takes approximately 2 billion ants, each weighing 4×10^-3 grams.
Explanation:
The question asks how many ants would equal the mass of an elephant when the mass of an ant is approximately 4×10^-3 grams and the mass of an elephant is about 8 metric tons. First, we need to convert the mass of the ant into the same units as the elephant's mass. Since there are 1,000 grams in a kilogram and 1,000 kilograms in a metric ton, we can calculate the mass of the ant in metric tons as 4×10^-3 grams × (1 kilogram / 1,000 grams) × (1 metric ton / 1,000 kilograms), which simplifies to 4×10^-9 metric tons. To find the number of ants needed to equal the mass of an elephant, we divide the elephant's mass by the mass of one ant: 8 metric tons / 4×10^-9 metric tons per ant = 2×10^9 ants. Therefore, it takes approximately 2 billion ants to have the same mass as an 8 metric ton elephant.
what percent of 50 is 18?
Add. (5y - 1) + (-2y + 4) A) 3y - 5 B) 3y + 3 C) 7y + 3 D) 7y - 3
What is the equation of the line graphed?
A)
y = 3x
B)
y = 3x - 2
C)
y = -3x - 2
D)
y = -3x + 2
Is 593÷6 is a little less than 10 a little more than 10 a little less than 100 a little more than 100 explain
You use a gift card to buy a pair of shorts for $8. There is $32 left on the gift card after your purchase. What was the original amount of your gift card?
What is 3 5/2 in simplified radical form?
sqrt(3)
\sqrt{3^5}
^3\sqrt{5}
To simplify 3 5/2 in radical form, convert the mixed number to an improper fraction and express it as √(13/2).
To express 3 5/2 in simplified radical form, we need to convert the mixed number to an improper fraction. 3 5/2 is equivalent to 13/2. Therefore, the expression can be written as √(13/2).
The perimeter of an equillateral triangle is 63 inches. If the length of each side is (4x-3), find the value of x.
1.56 divided by 19.2
Becky has one piece of paper. She cuts the paper in half and then has two pieces. She cuts these in half to get four pieces. The process continues. Which describes how many pieces she has at each step? (a) p(1) = 1; p(n) = 2p(n-1), for n is greater than or equal to 2 (b) p(1) = 1; p(n) = 1/2p(n-1), for n is greater than or equal to 2 (c) p(1) = 1; p(n) = p (n-1) +1, for n is greater than or equal to 2
1 piece cuts into 2, 2 pieces cuts into 4, 4 pieces get cut into 8, so there is a multiple of 2 involved so the equation needs a multiple of 2 in it.
The correct answer is a) p(1) = 1; p(n) = 2p(n-1), for n is greater than or equal to 2
Working on homework. Need help with one part of the worksheet. This is the main problem.
An apple pie uses 4 cups of apples and 3 cups of flour. An apple cobbler uses 2 cups of apples and 3 cups of flour. You have 16 cups of apples an 15 cups of flour. When you sell these at the Farmers market you make $3.00 profit per apple pie and $2.00 profit per apple cobbler. Use linear programming to determine how many apple pies and how many apple cobblers you should make to maximize profit.
Attached first is what I have so far. Attached second is what I need help with. How to I write an obgective function that I can use to evaluate the profit?
let x = number of apple pies you would make
let y= the number of apple cobblers you make
4 cups of apples
for a pie 2 cups for cobbler with 16 cups
so we have: 4x+2y<=16
3 cups of flour for both pies and cobbler we get: 3x+3y<=15.
solve the system of inequalities to get (3,2)
check: 4(3) +2(2) = 12+4 = 14, this is less than 16 so this is true
3(3) + 3(2) = 9 +6 = 15 does equal 15 so this is true
Now profit equation is 3x +2y = profit
3(3) +2(2) = 9+4 = 13
You can make 3 apple pies and 2 apple cobblers for maximum profit
In this exercise we have to have knowledge about finances, in order to be able to calculate and write a function that corresponds to profits, so:
[tex]3x +2y = profit[/tex]
Then using the information given in the text we can write that:
let x = number of apple pies you would makelet y= the number of apple cobblers you make4 cups of apples for a pie 2 cups for cobbler with 16 cupsSo writing the function we have that corresponds to:
[tex] 4x+2y\leq 6[/tex]
So writing the second function that corresponds to 3 cups of flour, we have:
[tex]3x+3y\leq 15[/tex]
So solving these systems we find:
[tex] 4(3) +2(2) = 12+4 = 14\\ 3(3) + 3(2) = 9 +6 = 15\\ 3x +2y = profit[/tex]
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Sharon has 72 beads. she has twice as many sphere beads as cylinder beads. How many of each kind of bead does Sharon have? How did you solve the problem? How can you check your answer?
Luis has 3 pounds of ground turkey to make burgers. He uses 3/8 pound per burger to make 6 burgers. How many 1/4 pound burgers can Luis make with the remaining turkey?
Final answer:
With the remaining 3/4 pound of turkey, after converting to ounces, Luis can make 3 additional 1/4 pound burgers.
Explanation:
Luis has 3 pounds of ground turkey and makes 6 burgers using 3/8 pound of turkey per burger. To find out how much turkey he used, we multiply the number of burgers by the weight of turkey per burger:
6 burgers × 3/8 pound/burger = 18/8 pounds = 2 1/4 pounds
Now, subtract the amount used from the initial amount to find the remaining turkey:
3 pounds - 2 1/4 pounds = 3/4 pound remaining
To convert pounds to ounces (as there are 16 ounces in a pound), multiply 3/4 pound by 16:
(3/4) × 16 = 12 ounces remaining
To determine how many 1/4 pound burgers Luis can make, we convert the quarter pounds to ounces, which is 4 ounces per burger, and then divide the remaining ounces by 4:
12 ounces / 4 ounces/burger = 3 burgers
Therefore, Luis can make 3 more 1/4 pound burgers with the remaining turkey.
On average, a commercial airplane burns about 3.9 × 10³ milliliters of gasoline per second. There can be as many as 5.1 × 10³ airplanes in the air in the United States at any given time. About how many milliliters per minutes of gasoline are burned by commercial airplanes in the United States at any given time?
60 x 3.9x10-3 = 234x10e3ml/minute/plane
You have 5.1x10e3 planes in the air
(234 x 5.1) (10e6) ---you add the two exponents together for this one
1193.4 x 10e6...which turns into 1.2 x 10e9
Mr.Ramirez divides 12 frogs equally into 6 groups for students to study.how many frogs are in each group?Label known and unknown information on the tape diagram to help you solve.
If Mr.Ramirez divides 12 frogs equally into 6 groups for students each group will have 2 frogs.
What is unitary method?Unitary method is a mathematical technique for first obtaining the value of a single unit then deriving the required units by multiplying it with the single unit.
This type of question can be solved using the unitary method where we can obtain how many frogs each group gets.
Given, Mr.Ramirez divides 12 frogs equally into 6 groups for students to study.
∴ Each group will have the total number of frogs upon the total number of groups which is,
= (12/6).
= 2 frogs.
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How to simplify the expression
10h+6-5h+3
If we want to simplify this expression:
10h+6-5h+3
We have to join each term with h and each term with no variable (no h) :
10h-5h+6+3
Sum each h-term and each variable:
5h+9 This the simplified result
Find p+q, given that (q+4)(p+3)-(q+2)(p+1)=44.
We find that p+q = 17.
To find p+q, we need to solve the given equation step by step:
(q+4)(p+3) - (q+2)(p+1) = 44
Expanding both products, we get:
qp + 3q + 4p + 12 - qp - q - 2p - 2 = 44
We notice here that the 'qp' terms cancel each other out. Simplifying, we are left with:
2q + 2p + 10 = 44
Subtracting 10 from both sides gives:
2q + 2p = 34
Divide by 2:
q + p = 17
Therefore, p+q = 17.
-4y+7+9y-3 identify the terms and like terms in expressions
TONS OF POINTS
TOOOONNNSS
PLEASE HELP!
EMERGENCY! Rewrite the expression 26 + 8 as the product of the GCF and a sum. Then, simplify the expression. Show all of your steps.
Answer:
Step-by-step26+8 = 34{SUM}
(26+8)/2
(13+4){GCF} explanation:
the width of a rectangle is 4 inches less than the length ,the perimeter is 48,what is the dimensions?
Five friends go out to dinner together. The meal comes to $80. Each friend contributes the same amount of money to pay the bill. Chase uses the five-step problem-solving plan. After completing the Solve step, how much money should he find each friend contributes? Enter you answer in the box.
Answer:
$16
Step-by-step explanation:
Which equation shows y+15=3x in standard form?
Explain part a and b
PLZ HELP DUE IN 5
MIN
Which statements are correct steps in finding the linear equation of a line that passes through the points (−1, 7) and (2, 4) using the point-slope form method? Select all that apply.
A: y = x + 6
B: 7 = –1(–1) + b
C: y – 4 = –1 (x – 2)
D: y – 7 = –1 (x – (–1))
E: y – 2 = x – 4
F: y = –x + 6
The linear equation of the line will be y = -x + 6.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. A2 nd the third parameter is the slope of the line which represents the elevation of the line.
Given that a line passes through the points (−1, 7) and (2, 4). The equation of the line will be calculated by finding the slope of the line.
y = mx + c
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 2 - ( -1 ) / ( 4 - 7)
m = ( 3 / -3 )
m = -1
y = mx + c
( 7 ) = ( -1 )( -1 ) + x
c = 6
The equation will be written as:-
y = mx + c
y = -x + 6
Therefore, the linear equation of the line will be y = -x + 6.
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alexia charges 15 dollars an hour to repair air conditioners. organize the data for the coat of reparing air conditioners. write a graph an equation representing the function . graph the finction
Someone please help me answer at least one of these problems it’s really hard and it’s due by tomorrow and I really don’t get it someone helppp
I WILL MARK BRAINLIEST! AND MORE POINTS! PLEASE HELP ME I NEED HELP!
Wilson cycled a total of 3.57 kilometers by making 2 trips to work. How many trips will Wilson have to make to cycle a total of 10.71 kilometers? Solve using unit rates.
Marsha practiced the flute for double the minutes Sílvio practiced. Together they practiced for 90 minutes. How long did each student practice?
To find out how long Marsha and Sílvio practiced, we set up the equation x + 2x = 90, where x is the time Sílvio practiced. Solving the equation, we found that Sílvio practiced for 30 minutes and Marsha for 60 minutes.
The question asks us to solve for the amount of time Marsha and Sílvio each practiced their instruments given that Marsha practiced for twice the time that Sílvio did and together they practiced for a total of 90 minutes.
Let's denote the time Sílvio practiced as x minutes. This means Marsha practiced for 2x minutes. We know that the sum of their practice times is 90 minutes, which gives us the equation:
x + 2x = 90
Combining like terms, we have:
3x = 90
Dividing both sides by 3 to solve for x gives:
x = 30
Therefore, Sílvio practiced for 30 minutes and Marsha practiced for 60 minutes (double the time of Sílvio).