please help to solve the equations!
1) 3(k+5)=-2(3k-6)
2)1/2r+4=3/4r-3/2
3)2a-9=2a+5
4)8m+2+4m=2(6m+1)
Shaun read 60 pages in 3/4 h. What is the unit rate that represents the number of pages Shaun can read in 1 h? Enter your answer in the box.
If Shaun read 60 pages in [tex]\frac{3}{4} $ h[/tex], the number of pages Shaun can read in 1 hour (unit rate) using proportion is: 80 pages (80 pages in 1 hour).
Given:
Number of pages Shaun read in 3/4 h = 60 pages
Thus, to find the unit rate that represents number of pages to be read by Shaun in 1 hour,
let x = number of pages read in 1 hour.
The following proportion would be created:
60 pages = 3/4 h
x pages = 1 h
Cross multiply[tex]\frac{3}{4} \times x = 1 \times 60\\\\\frac{3x}{4} = 60[/tex]
Multiply both sides by 4[tex]3x = 60 \times 4\\\\3x = 240\\\\[/tex]
Divide both sides by 3x = 80
Therefore, if Shaun read 60 pages in [tex]\frac{3}{4} $ h[/tex], the number of pages Shaun can read in 1 hour (unit rate) using proportion is: 80 pages (80 pages in 1 hour).
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David was given two coins. One coin is twice the value of the other. Which statement is not true
David was given $0.75.
David was given $0.26.
One coin is smaller in size than the other
David was given $0.15.
Final answer:
The statement 'David was given $0.26' is not true because U.S. currency does not include the necessary coins where one coin is twice the value of the other to make up $0.26.
Explanation:
David was given two coins, where one coin is worth twice the value of the other. We need to identify which statement is not true among the given options regarding the value of the coins David was given. Let's analyze each statement:
Only the statement about being given $0.26 cannot be true, because U.S. currency does not include the necessary coins to satisfy the condition where one coin is twice the value of the other.
How do you write 6.67 × 102 in standard form
Standard form refers to the regular way you write out a number, such as 4,300, as opposed to scientific notation, which is 4.3 x 10^3, or in expanded form, such as 4,000 + 300. You can convert numbers large and small to standard form in a few steps.
STANDARD FORM WITH LARGE NUMBERSTo convert a number from scientific notation to standard form, consider 1.5625 x 10^4. First, focus on the exponential number, which is 10^4. Multiply the base number, which is 10, by itself the number of times indicated by the exponent, which is four. You would do that like this:
10 x 10 x 10 x 10 = 10, 000
Plug the product -- which is 10,000 -- into the original equation to get this:
1.5625 x 10,000 = 15, 625
Therefore, the standard form of this number is 15,625.
For a number in expanded form, convert the number, using basic addition. For example, consider the expanded number 10,000 + 2000 + 100 + 10 + 9. Add up these numbers to get the standard form. Your equation would look like this:
10,000 + 2,000 + 100 + 10 + 9 = 12,119
Therefore, the standard form of the number is 12,119.
STANDARD FORM WITH SMALL NUMBERSSmall numbers, such as those less than one, can also be converted to standard form. For example, consider the scientific notation 5 x 10^-2. Start with 10^-2, and note that the exponent is negative, which in this case, is negative two. This indicates that the number will be a decimal, with the decimal point moving twice to the left of the base number, which in this case, is 10. This would give you 0.01. Your equation will look like this:
10^2-1 = 0.01
Plug in this value, which, in this case is 0.01, into your original equation to get this:
5 x 0.01 = 0.05
Therefore, the standard form of this number is 0.05.
Convert small numbers presented in expanded form, such as 0.0003 + 0.001 + 0.02 by adding like this:
0.0003 + 0.001 + 0.02 = 0.0213
Which point on the graph shows the price of 6 ounces of cheese? Use the formula y=x÷2 to find y when x is 6.
Using the formula y = x ÷ 2, the price for 6 ounces of cheese is calculated to be $3, following the linear price-quantity relationship given.
To find the price of 6 ounces of cheese, we can use the formula y = x ÷ 2.
Plugging in x = 6 ounces into the formula, we get:
y = 6 ÷ 2 = 3.
So the price y for 6 ounces of cheese is $3.
This is consistent with the given information that also indicates a linear relationship between the amount of cheese and its price (e.g., 2 ounces for $1 and 14 ounces for $7).
The probable question may be:
Which point on the graph shows the price of 6 ounces of cheese? Use the formula y=x÷2 to find y when x is 6.
Amount of cheese x is 2 ounces the price y is 1 $.
Amount of cheese x is 6 ounces the price y is _____ $.
Amount of cheese x is 7 ounces the price y is 3.5 $.
Amount of cheese x is 14 ounces the price y is 7 $.
China has a population of approximately 1,322,000,000 people. Express this number in scientific notation. A) 1.322 x 109 B) 1.322 x 10-9 C) 1.322 x 10−8 Eliminate D) 13.22 x 108
Renna pushed the button for the elevator to go up, but it would not move. The weight limit for the elevator is 450 kilograms, but the current group of passengers weighs a total of 750 kilograms. Renna wants to determine how many 70-kilogram passengers need to get off the elevator. Let p represent the number of excess passengers. Write an inequality to determine the number of passengers who need to get off the elevator to meet the weight requirement.
A gym holds one 60-minute exercise class on Saturdays and several 45-minute classes during the week. Last week all of the classes lasted a total of 285 minutes. Write an equation you can use to find the number of weekday classes.
Find the slope of the line passing through the points (-2, -3) and (-2, 5).
the answer is undifined
∠A
and
∠B
are vertical angles with
m∠A=x
and
m∠B=4x−30
.
What is
m∠A
?
Answer:
m∠A=10°
Step-by-step explanation:
we know that
Vertical angles are the angles opposite each other when two lines cross. The angles are congruent.
so
In this problem we have
m∠A=m∠B
substitute the given values
[tex]x=4x-30[/tex]
Solve for x
[tex]4x-x=30\\3x=30\\x=10[/tex]
Find the measure of angle A
m∠A=x
substitute the value of x
m∠A=10°
13 tenths+8 tenths+32 hundredths
The value of 13 tenths + 8 tenths + 32 hundredths is 2.42.
Here's how we can break it down:
Convert tenths and hundredths to decimals:
13 tenths = 13/10 = 1.3
8 tenths = 8/10 = 0.8
32 hundredths = 32/100 = 0.32
Add the decimal values:
1.3 + 0.8 + 0.32 = 2.42
Therefore, 13 tenths + 8 tenths + 32 hundredths equals 2.42.
Complete question:
Solve this: 13 tenths+8 tenths+32 hundredths
What is the answer to a and b please and thank you
if the length and width of a rectangle quadruple what happens to the area
The area of the rectangle becomes 16 times the previous one.
Given that,
The length and width of a rectangle quadruple what happens to the area is to be determined.
the rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
What is surface area?Surface area is defined as the area of the surface that is uncovered.
Here,
The length(L) = 4 L
The width (W) = 4W
area of the rectangle = length * width = LW
The new area of the rectangle = 4L * 4W
= 16 LW
= 16 * area of the rectangle.
Thus, the area of the rectangle becomes 16 times the previous one.
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please help , I have no idea of how to do this
3.4 in word and expanded form
1/4x+3/4y=1 please solve (linear equation)
Three years ago, Jolene bought $750 worth of stock in a software company. Since then the value of her purchase has been increasing at an average rate of
12
2
5
% per year. How much is the stock worth now? (Round each money calculation you make to the nearest cent.)
please help
Find the 12th term of this sequence: f(n)=5/n
the line parallel to x-3y=-12 that passes through (-3,4)
The equation of the line parallel to x-3y=-12 that passes through (-3,4) is y=x/3+5.
What is the standard equation of a line?The standard equation of a line is given by
y = mx+c
Here m is the slope and c is the y intercept
The slope can be determined by
m = (y₂ -y₁)/(x₂ -x₁)
The line function equation is
x - 3y = -12
y = (1/3)x +4
When a line is parallel to another line, the slope of the lines is same.
So, the slope of the line parallel to the line x - 3y = -12 is 1/3
y = (1/3)x +c
As the line passes through the point (-3,4)
4 = (1/3) * (-3) +c
4 = -1 +c
c = 5
The equation is
y=x/3+5
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Part 1:Is it possible for a composite number to have more than one prime factorization? Is it possible for a number to have no prime factors? Why?
Part 2: Give an example of how prime factorization could be used in the real world.
There is only 1 set of prime factors for any number
A prime number can be divided evenly only by 1 or
itself, so it would not have any prime factors
Part 2
Prime factorization is used by people who try to make or break secret codes made with numbers, because factoring really large numbers is difficult and can take computers a long time to do it.
Answer:
Part 1:Is it possible for a composite number to have more than one prime factorization?
Answer: No.
Is it possible for a number to have no prime factors? Why?
Answer: Yes. The number 1 has no prime factors, and 1 is not prime.
Part 2: Give an example of how prime factorization could be used in the real world.
Answer: A carpenter needs to add two lengths to cut a piece of wood. One length is 5 1/16 inch, and the other length is 3 3/10 in. By using prime factors of 16 and 10, he can find the least common denominator of 16 and 10, and he can add the lengths together.
Step-by-step explanation:
how do I solve this problem −24−18p=38p?
To solve the equation
-24 - 18p = 38p, add 18p to both sides to combine like terms, then divide by 56 to isolate p, resulting in p = -3/7.
To solve the algebraic equation
-24 - 18p = 38p, we need to isolate the variable p on one side of the equation. Here's a step-by-step solution:
Combine like terms by getting all the terms containing p on one side of the equation. To do this, add 18p to both sides:
-24 - 18p + 18p = 38p + 18p
-24 = 56p
Now divide both sides by 56 to solve for p:
-24 / 56 = 56p / 56
-3/7 = p
The solution to the equation is p = -3/7.
3/7 - 10/7 Write fractions in simplest form
How are ratios, rates, and unit rates used to solve problems?
What is the equation of a line, in point-slope form, that passes through (−2, −6) and has a slope of 13 ?
y+2=13(x+6)
y−6=13(x−2)
y+6=13(x+2)
y−2=13(x−6)
30 pts
plz help need to get an a or i die by my mom :P
The equation of the line in point-slope form that passes through (-2, -6) and has a slope of 13 is y + 6 = 13(x + 2).
Explanation:The equation of a line in point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope of the line.
To find the equation of the line that passes through (-2, -6) and has a slope of 13, we can substitute the values into the formula:
y - (-6) = 13(x - (-2))
Simplifying this equation, we get y + 6 = 13(x + 2). Therefore, the correct equation of the line in point-slope form is y + 6 = 13(x + 2).
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Arturo mixed together 1.24 pounds of pretzels, 0.78 pounds of nuts, 0.3 pounds of candy, and 2 pounds of popcorn. He then packaged it in bags that each contained 0.27 pounds. How many bags could he fill?
Answer:
Number of bags Arturo can fill = 16
Step-by-step explanation:
Arturo mixed together 1.24 pounds of pretzels, 0.78 pounds of nuts, 0.3 pounds of candy, and 2 pounds of popcorn
Total pounds of mix = 1.24 + 0.78 + 0.3 + 2 = 4.32 pounds
He then packaged it in bags that each contained 0.27 pounds.
Capacity of each bag = 0.27 pounds
[tex]\texttt{Number of bags he can fill =}\frac{\texttt{Total pounds of mix}}{\texttt{Capacity of each bag}}\\\\\texttt{Number of bags he can fill =}\frac{4.32}{0.27}\\\\\texttt{Number of bags he can fill =}16[/tex]
Number of bags Arturo can fill = 16
Select the correct rate of change and y -intercept for the linear function that contains the points (4, 6) and (5, 3).
The rate of change is −1/3, and the y -intercept is 7 1/3
The rate of change is –3, and the y -intercept is 18.
The rate of change is 3, and the y -intercept is –6.
The rate of change is 1/3, and the y -intercept is 4 2/3
Twelve more than three times a number equals two times the number. What is the number?
Who ever helps will get 15 points and a thanks what are some ways you could break apart 7✖️9 using distributive property Tks and u will win your reward
what is the perimetee of a square with the area of 121
Write the value of the digit of 281'480'100