7.9 * 10^7 +6.58*10^6=
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
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
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
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.
record the product 8x43 using expanded form to help
In which expressions of the exponent be multiplied
Find three consecutive even numbers that have a sum of 36
I'm learning about Equivalent systems of equations, please help!
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
Approximate √39 to the nearest whole number
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".
1\4 15\100 is it >,<, or =
josh is inviting his friends to a party. he has 42 granola bars and 56 fruit drinks, and he wants to give the same number of each item to each friend.
Answer:
Number of granola bars that Josh gave to each of his friend =3
Number of fruit drinks that Josh gave to each of his friend =4
Step-by-step explanation:
Number of granola bars with Josh = 42
Number of fruit drinks with Josh = 56
He wants to give the same number of granola bars and fruit drinks to each friend.
To find : Number of granola bars and fruit drinks Josh give to each friend.
First, find HCF of 42 and 56 .
[tex]42=2\times 3\times 7\,,\,56=2^3\times 7[/tex]
Therefore, HCF ( 42, 56 ) = Highest common factor of 42 and 56 = 14
Number of granola bars that Josh gave to each of his friend = Number of granola bars with Josh / HCF ( 42, 56 )
= 42/14 = 3
Number of fruit drinks that Josh gave to each of his friend = Number of fruit drinks with Josh / HCF ( 42, 56 )
= 56/14 = 4
A cashier has only one-dollar bills, quarters, and dimes. List all the ways you could receive $2.50 in change
Paint costing $19 per gallon is to be mixed with thinner costing $3 per gallon. How much of each should be added to make 16 gallons of a mix that costs $14 per gallon?
To make a 16-gallon mix that costs $14 per gallon from a paint costing $19 per gallon and a thinner costing $3 per gallon, you need approximately 11.56 gallons of paint and 4.44 gallons of thinner.
Explanation:This is a problem of Mathematics, specifically Systems of Equations. Let's denote the amount of paint as P (in gallons) and the amount of thinner as T (in gallons). We are looking for the values of P and T that satisfy these two conditions:
P + T = 16 (The total volume of the solution should be 16 gallons)19P + 3T = 14 * 16 (The total cost of the solution should be $14 per gallon)This gives us two equations,
P + T = 1619P + 3T = 224Now, you can subtract the first equation from the second to solve for P,
18P = 208, therefore P = 208/18 = 11.56 gallons. Substitute P = 11.56 into the first equation to solve for T, T = 16 - 11.56 = 4.44 gallons. So, approximately 11.56 gallons of paint and 4.44 gallons of thinner should be mixed to get the desired 16-gallon mixture.
Learn more about Systems of Equations here:https://brainly.com/question/35467992
#SPJ11
To find the amounts of paint and thinner needed to make a $14 per gallon mix by mixing two different-priced liquids.
Mathematically, this problem can be solved using a system of equations.
Let x be the gallons of paint and y be the gallons of thinner. We have two equations based on the given information:
x + y = 1619x + 3y = 14 * 16Solving this system of equations will give you the amounts of paint and thinner that need to be mixed to achieve a $14 per gallon mix.
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'?
What is the product of 5 + 2i and 7 + 3i?
A decimal that contains digits that continue forever in a pattern is called a(n) ____ decimal
Is the answer to -8.8-3.4 positive or negative? I know. It is 12.2 but I don't know if it's -12.2 or +12.2
The product of a non zero rational number and a irrational number is always sometimes or never irrational
What times what equals 0.59??
Ethan wrote the number four million,three hundred five thousand, seven hundred sixtu-two as 4,350,762.Describe and correct his error.
what is the slope of the line determined by the cordinates (2,3) and (-6,-4)
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.
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
Which is true of a geometric plane? A) one-dimensional B) two-dimensional C) three-dimensional Eliminate D) no dimensions, only position
The geometric plane is two-dimensional since there are two variables.
A geometric plane is a plane which is a flat surface.
The general equation of a plane is :
ax + by + c = 0
Here x and y are variables.
Since there are two variables, the plane is two dimensional.
Or in other words, there are two directions for the plane.
So the geometric plane is two-dimensional.
Learn more about Geometric plane here :
https://brainly.com/question/28935592
#SPJ6
If 2x2 - x + 6 is subtracted from x2 + 3x - 2, the result is
x² + 2x - 8
x² - 4x + 8
-x² + 2x - 8
-x² + 4x - 8
Answer:
x^2 + 3x - 2 - (2x^2 - x + 6) =
x^2 + 3x - 2 - 2x^2 + x - 6 =
-x^2 + 4x - 8
the answer is 8
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!