Answer:
100 boys at the concert
Step-by-step explanation:
At a country concert, the ratio of the number of boys to girls is 2:7
Let 'b' be the number of boys in the concert
there are 250 more girls than boys
so b+250 are the number of girls in the concert
the ratio of boys to girls is b: b+250
Now make a proportion using the ratio
[tex]\frac{2}{7} =\frac{b}{b+250}[/tex]
Now solve for b . cross multiply the fraction
[tex](b+250) \cdot 2= 7 \cdot b[/tex]
[tex]2b+500= 7b[/tex]
Subtract 2b from both sides
[tex]5b= 500[/tex]
Divide both sides by 5
b=100
So there are 100 boys at the concert
Solve for x. 3x−82=x−6
20 Points
3x-82 = x-6
subtract 1 x from each side
2x -82 = -6
add 82 to each side
2x = 76
divide both sides by 2
x = 76/2 =38
x = 38
Check:
3(38)-82 = 38-6
3*38 = 114, 114-82 =32 and 38-6 = 32 32 = 32 TRUE
7.9 * 10^7 +6.58*10^6=
What is the product of 5 + 2i and 7 + 3i?
Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° counterclockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?
I'm learning about Equivalent systems of equations, please help!
The science department buys the equipment shown in the table they bought all three items this year and how many years will they have had by all three items again
Students use a balance to determine the mass of a marble in 7.5 G of graduated bottle contains 10 milliliters of water when the marble is carefully lowered into the granulated bottle and is completely covered with water the volume of the water containing the marble has increased to 12.5 ml what is the density of the marble
Answer:
3 g/ml
Step-by-step explanation:
After the marble was introduced into the graduated bottle, the volume change from 10 ml to 12.5 ml, this means that 12.5 - 10 = 2.5 ml is the volume occupied by the marble.
The mass of a marble is 7.5 g.
Density is defined as follows:
density = mass / volume =
Replacing with the measures:
density = 7.5/2.5 = 3 g/ml
record the product 8x43 using expanded form to help
In which expressions of the exponent be multiplied
Identify the rate that does not belong with the other three. Justify your response
4.5 feet per second
112.5 in 25 seconds
86.4 feet in 18 seconds
54 feet in 13 seconds
Angie is wrapping a present for her best friend. The box is 16 inches long, 12 inches wide, and 3 inches high. How many square inches of wrapping paper does Angie need for her present
The product of a non zero rational number and a irrational number is always sometimes or never irrational
What times what equals 0.59??
Kevin is 14 inches taller than George. The difference between Kevin and Richard is two inches less than between Richard and George. Kevin at 6'6" is the tallest. How much tall are Richard and George?
Richard is 6'1" and George is 5'11" tall.
To calculate Richard and George's heights, we start with Kevin being 6'6" and 14 inches taller than George, meaning George is 5'4".
The difference between Kevin and Richard is 2 inches less than between Richard and George, making Richard 6'1" and George 5'11".
The library charges $0.75 a day for overdue videos and $0.12 a day for overdue books. Emily pays a total of $3.48 in late fees. How many days late were the items?
10 friends go out to lunch and order 9 large pizzas. The friends divide the pizzas evenly. Find how much pizza each friend got as a decimal
A decimal that contains digits that continue forever in a pattern is called a(n) ____ decimal
Find three consecutive even numbers that have a sum of 36
What value represents a number 10 times as great as 581,000?
Container A is 13 inches by 19 inches. by 25 inches.Container B is 13 inches by 13 inches by 31 inches.In cubic inches,how much greater is the volume of Container A.
The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? The graph of f(x) = x2 is made narrower. The graph of f(x) = x2 is shifted right 6 units. The graph of f(x) = x2 is shifted down 48 units. The graph of f(x) = x2 is reflected over the y-axis.
A rope 25 feet long is cut into 3 pieces. The forest piece is 2x feet long, the second piece is 5x feet long, and he third piece is 4 feet long.
a. Write and solve and equation find x.
b. Find the length of the first and second piece
Approximate √39 to the nearest whole number
Chloe wants to cut a 37 in. piece of ribbon into three pieces. The second piece is to be 2 in. longer than the first, and the third piece is to be 3 in. longer than the second. How long will each of the pieces be?
1st piece = x
2nd piece = x+2
3rd piece = x+2+3 = x+5
37 = x +x+2 + x+5 =
37 = 3x+7
30=3x
x = 30/3 = 10
1st piece = 10 inches
2nd piece = 10+2 = 12 inches
3rd piece = 10+5 = 15 inches
Ethan wrote the number four million,three hundred five thousand, seven hundred sixtu-two as 4,350,762.Describe and correct his error.
a male lion needs as much as 15 pounds of food each day or 105 pounds of food each week.how much does a lion need in one year.
I'm just checking i have the answer i just want to check thx
If a male lion eats 15 pounds of food each day or 105 pounds each week, it would need about 5460 pounds of food in a year. We arrive at this by multiplying the weekly amount (105 pounds) by the number of weeks in a year (52 weeks).
Explanation:The question is asking how much food a male lion needs in a year if it eats 15 pounds of food each day, or 105 pounds per week. If we want to know how many pounds of food a lion needs for an entire year, we would need to multiply that weekly amount by the number of weeks in a year. There are 52 weeks in a year. So, we take 105 pounds of food per week and multiply it by 52.
Calculation: 105 × 52 = 5460
So, a male lion needs about 5460 pounds of food in a year.
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A bus service drives passengers between Milwaukee and Chicago every day. They travel from city to city eight times each day. The distance between the two cities is 89 miles..In February there are 28 days. The company's budget allows for 28,000 total miles for February. Do you think the budget is reasonable? Explain
Answer:
Yes the budget is reasonable.
Step-by-step explanation:
A bus service drives passengers between Milwaukee and Chicago every day for eight times each day.
The distance between the two cities is 89 miles.
So, total distance covered per day = [tex]89\times8=712[/tex] miles.
Total distance covered in 28 days = [tex]28\times712=19936[/tex] miles.
As give, The company's budget allows for 28,000 total miles for February.
So, yes the budget is reasonable, as it is less than 28000.
1\4 15\100 is it >,<, or =
Tell me whether the expressions in each pair are equivalent... Please i beg Someone to answer this!
1. 6m+1 and 1x6+m
2. 9y and 9+y
3. mp+nq and mq+np
4. -(5-q) and 9-5
5. 8-4c and 4c-8
6. 3(5+z) and 15+2
Pls put down your answer in form!
Multiply 8.88x10 to the 4th power. Explain the shift of the digits and the change in the value of each digit