How is finding a unit rate similar to solving a proportion
Wind can cause air to move at speeds up to 130 meters per second. At that rate, how long would it take air to travel 5,850 meters?
Jane Andrew and Maria pick apples Andrew picks three times as many pounds is Maria Jane picks two times as many pounds is Andre the total weight of the Apple's is 840 pounds how many pounds of the apples does Andre pick.
To solve the apple picking problem, we assigned variables and formulated an equation based on the relationships between the amounts each person picked. Solving the equation revealed that Andrew picks 252 pounds of apples.
Let Maria's apple pick be x pounds. According to the question, Andrew picks three times as many apples as Maria, which makes Andrew's pick 3x pounds. Jane, on the other hand, picks two times as many apples as Andrew, resulting in Jane's pick being 2(3x) or 6x pounds. Now, we know that the total weight of the apples picked by all three is 840 pounds.
We can express this as an equation:
x + 3x + 6x = 840
This simplifies to 10x = 840.
To find x, we divide both sides by 10:
x = 840 / 10
x = 84 pounds
Since Andrew picks 3x pounds, we multiply 84 by 3 to find Andrew's pick:
Andrew's pick = 3 × 84 = 252 pounds of apples.
What is the solution to the given system of equations?
y=4x-3
y=-x-13
The solution to system of equation y = 4x - 3 and y = - x - 13 is (- 2, - 11).
What are the types of solutions to a system of linear equations?If a system of equations only contains two linear equations with two variables, the system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.
Given, A system of equations y = 4x - 3 and y = - x - 13.
If we subtract these two equations,
y = 4x - 3
- (y = -x - 13)
__________
0 = 5x + 10.
5x = - 10.
x = -2 and hence y = - 11.
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Andy has 5 pots, and each pot can hold 3/8 pound of soil. How much soil does he need to fill all of the pots?
Andy needs 1.875 pounds or 15/8 pounds of soil to fill all his pots. This is found by multiplying the weight of soil one pot can hold (3/8 pound) with the total number of pots (5).
Explanation:This question relates to the topic of multiplication in mathematics. It requires you to find the total weight of soil needed to fill all of Andy's pots. Every pot holds 3/8 of a pound of soil. To find out how much soil Andy needs, we can multiply the weight one pot can hold by the total number of pots.
Here are step-by-step instructions:
First, identify the amount that one pot can hold, which is 3/8 of a pound of soil.Next, find out how many pots Andy has, which is stated as 5 pots.To find the total amount of soil required, multiply the amount per pot with the total number of pots (3/8 * 5).The answer will be 15/8 pounds or if you prefer decimals, 1.875 pounds of soil is needed to fill all the pots.
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Heather and her family are going to the grand opening of a new amusement park. There is a special price on tickets this weekend. Tickets cost $56 each. This is 70% of the cost of a regular price ticket. What is the cost of a regular price ticket? Show work pls
True or false to halve a number you divide it by four
8th grade math equation of the line in slope intercept form
Given ΔABC : ΔDEF, find x.
the answer is twelve
The value of x is 12.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
ΔABC : ΔDEF
We can write as,
BA/AC = ED/DF
8/12 = x/18
x = (8 x 18) / 12
x = 2 x 6
x = 12
Thus,
x is 12.
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is y=4x+2 linear if so write the equation in standard form and give the values of A B and C
Brook paid $45 for a candle making course. She spent $106 for wax and supplies , but later returned one $8 candle mold. Write and find out the value of an integer expression to show the change in the amount of money she has . If brook sells her candles for $9 each how many will she have to sell before she makes a profit
Tyler made a picture graph to show students favorite colors. this is the key for his graph. each picture equal 3 votes. if 12 students voted for green, how many pictures should there be in the green row of the graph?
Answer:12 pictures
Step-by-step explanation:
is 0.166666667 a terminating decimal or repeating decimal
mary read 240 pages of the 400 pages in her book.what percentages of the page ls in her book did mary read?
Mr. Li has 16 pencils. He gives 9 pencils top some students. How many pencils does Mr. Li have now?
2/5 equals 24 over 144 are the fractions equivalent
dani uses yhe table to help her convert measurements when she is sewing. describe the relationship between the number of inches and the number of feet.
If a line connected point S to point Q, what would be the slope of the line?
A) 3
B) 3/2
C) 2/3
D) -2/3
the first graph
What is the solution to the system of equations shown in the graph?
A) (0, 5)
B) (-2, 1)
C) (0, -1)
D) (1, -2)
the second graph
Answer:
Ques 1)
B) 3/2
Ques 2)
B) (-2,1)
Step-by-step explanation:
Ques 1)
We know that the coordinates of points S are (-2,-8)
and the coordinates of the point Q are: (8,7)
We know that the slope of a line passing segment with end points (a,b) and (c,d) are given as:
[tex]slope=\dfrac{d-b}{c-a}[/tex]
Here we have:
(a,b)=(-2,-8) and (b,d)=(8,7)
Hence, the slope is:
[tex]Slope=\dfrac{7-(-8)}{8-(-2)}\\\\Slope=\dfrac{7+8}{8+2}\\\\Slope=\dfrac{15}{10}\\\\Slope=\dfrac{3}{2}\\(Since\ both\ the\ numerator\ and\ denominator\ are\ divisible\ by\ 5)[/tex]
Hence, the slope of a line connecting point S to point Q is:
3/2.
Ques 2)
We know that solution of a system of equation is the point where the two system meet if it has a unique solution.
From the graph of the system of equation we could observe that the two lines intersect each other in the second quadrant and we know that the point in the second quadrant has x-value negative and y-value positive.
Hence, the point that is the solution of the given system of equations is:
B) (-2,1)
Evan budgets $2,000 a month to spend on living expenses for his family. Complete the table to express the portion spent on each cost as a percent, fraction, and decimal.
(do question 22, please)
Mr.Calzada buys flags for his store.Each flag cost $28.How many flags can he buy for $350?What does the remainder represent?
Which shows the correct word and expanded forms for the decimal?
9.057
A.
nine and fifty-seven thousandths
9 + 0.05 + 0.007
B.
nine and fifty-seven thousandths
9 + 0.5 + 0.07
C.
nine and fifty-seven hundredths
9 + 0.05 + 0.007
D.
nine and fifty-seven hundredths
9 + 0.5 + 0.07
Nate ordered a pizza to be delivered. The bill with 5% tax and %20 delivery fee was $24. What was the original price ?
painter A charges $376 plus $12 per and painter B charges $280 plus $15 per hour. in how many hours will they cost the same
Answer:
32 hours
Step-by-step explanation:
Let after x hours the charges of A and B are same,
Given,
For painter A,
Fixed charges = $ 376,
Additional charges per hour = $ 12,
So, the total charges for x hours = ( 376 + 12x ) dollars
For painter B,
Fixed charges = $ 280,
Additional charges pet hour = $ 15,
So, the total charges for x hours = ( 280 + 15x ) dollars
Thus,
376 + 12x = 280 + 15x
12x - 15x = 280 - 376
-3x = -96
x = 32
Hence, for 32 hours their cost will be same.
What is the slope-intercept form of the function described by this table?
Write a few sentences about different ways to show subtraction for a problem like 32 - 15
Bill has 2/3 of his pizza left from lunch. If he eats 3/7 more of the pizza, how much pizza is left?
A) 1/4
B) 1/3
C) 1/21
D) 5/21
Answer:
Option D) 5/21 pizza is left.
Step-by-step explanation:
Bill has 2/3 of his pizza left from lunch. If he eats 3/7 more of pizza then we have calculate the pizza left.
Let the size of a pizza is x. Now 2x/3 pizza is left with Bill after lunch.
Therefore pizza eaten by Bill = x - 2x/3 = x/3
Now Bill eats 3/7 more of pizza has been eaten by Bill.Therefore total pizza left is
x - x/3 - 3x/7 = x(1 - 1/3 - 3/7) = x( 21 - 7 - 9)/21 = 5x/21
So 5/21 part of pizza is left.
To stay properly hydrated, a person should drink 32 ounces of water for every 60 minutes of exercise. How much water should Damon drink if he rides his bike for 135 minutes.
(SLOPES) Am I doing it right?
9/20 divided by 4/15
I have 453 grams of strawberries I have 23 grams left how many grams of strawberries are left
To find out how many grams of strawberries are left, subtract the used grams from the total grams. Therefore, 430 grams of strawberries are left.
To determine how many grams of strawberries are left, we need to subtract the remaining grams from the total amount:
Start with the total weight of the strawberries: 453 grams. Subtract the amount already used: 453 grams - 23 grams. Calculate the result: 453 grams - 23 grams = 430 grams.
So, 430 grams of strawberries are left.