Answer:
a²+b²=126
Step-by-step explanation:
(a+b)²=a²+b²+2ab
(12)²=a²+b²+2×9
144=a²+b²+18
a²+b²=144-18=126
A parking attendant charges a different rate for cars than trucks. It costs $10.75 to park 3 cars and 2 trucks. It costs $12.25 to park 7 cars and 1 truck. How much does it cost to park a single car? A single truck?
$1.25 for parking the car. $3.50 to park the truck.
Andre drew a plan of the courtyard at a scale of 1 to 60 on his drawing one side of the courtyard is 2.75 inches what is the actual measurement of the side of the courtyard express your answer in inches
Answer:
165 inches
Step-by-step explanation:
The scale is 1 to 60, so real measurements are 60 times bigger than drawing measurements.
2.75 inches * 60 = 165 inches
The coordinates of point T are (0,5). The midpoint of ST is (2, -4). Find the coordinates of point S.
Problem 1 :
Given: HJ= 4x + 9, JK = 30 + 3, and KH = 33 Find: x, HJ, and JK
Answer:
Step-by-step explanation:
4x + 9 + 3x + 3 = 33
7x + 12 = 33
7x = 21
x = 3
HJ= 4(3) + 9 = 12 + 9 = 21
JK= 3(3) + 3 = 9 + 3 = 12
Sam wanted to find the difference 10 -(-6).
He said he would add the opposite. This is what he did:
10 - (-6) = 10 + (-6) = 4
Was Sam's thinking correct? Explain. In your explanation, describe how to add the
opposite and use a number line to find the value of 10 -(-6).
Given:
The expression is [tex]10 - (-6)[/tex].
Sam's calculation is [tex]10 - (-6) = 10 + (-6) = 4[/tex]
To find:
Whether Sam's thinking correct or not.
Solution:
We have,
[tex]10 - (-6) = 10+6[/tex] [tex][\because (-)(-)=(+)][/tex]
[tex]10 - (-6) = 16[/tex]
[tex]10 - (-6) \neq 4[/tex]
Therefore, Sam's thinking was incorrect.
On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.
But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.
explain how to use a graph of the function f(x) to find f(3)
Answer:
Just find the coordinate at the point where the x-coordinate is 3
Step-by-step explanation:
F(x) is just another term for Y. The variable of X is the value that you input into the f(x), which just stands for a function. Since the value that they asked for was 3, you know that they inputted the value of 3 as x. Just look where the coordinate at the point where the x-coordinate is 3 to find the answer.
Answer:
Sample Response: For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.
Step-by-step explanation:
answer on edge2020
If y varies directly as x, and y is 400 when x is r and y is r when x is 4, what is the numeric constant of variation in this
relation?
10
40
100
198
Answer:
10
Step-by-step explanation:
If there is a direct relation between two variables x and y then it can be represented as
y = kx ,
where y is dependent variable
x is independent variable
k is constant of variation
_____________________________
First condition
y = 400
x = r
using y = kx then relationship will be
400 = kr
finding k here
k = 400/r
Second condition
y = r
x = 4
using y = kx then relationship will be
r = 4k
finding k
k = r/4
since in both condition equation is same
thus, value of k will also be same
thus,
400/r = r/4
=> 400*4 = r*r
=> 1600 = r^2
[tex]\sqrt{r^{2} } = \sqrt{1600} \\r = 40[/tex]
Thus, 40 is the value of r
k = r/4 = 40/4 = 10
Thus, constant of variation is 10 which is correct choice.
To cross validate
k = 400/r = 400/40 = 10
Answer:
40
Step-by-step explanation:
[tex]\frac{r}{400}[/tex] = [tex]\frac{4}{r}[/tex]
cross multiply - 400*4 = 1600 and r*r = r^2
square both - √1600 = 40
Helpppppp pleaseeeee
Answer:
translations are B and D I believe so
Read through the solution below. Then, answer the questions that follow.
1. renaming a fraction (C)
2. de-c (C)
Write and test a conjecture about the quotient of a negative number and a positive number. Give at least two examples when testing the conjecture. Someone please help... it will be greatly appreciated.
Answer:A negative number divided by a positive number is always negative
Step-by-step explanation:
the product of 2 times a and 5 times b
Answer:
2a * 5b
Step-by-step explanation:
2 times a = 2a
5 times b = 5b
The phrase "the product" shows the 2 elements are being multiplied together.
will give brainliest for correct answer...
The formula F(C) = 9/5 C + 32 calculates the temperature in degrees Fahrenheit, given a temperature in degrees Celsius.
You can find an equation for the temperature in degrees Celsius for a given temperature in degrees Fahrenheit by finding the function’s ______ .
Answer:
85 degrees Fahrenheit
Step-by-step explanation:
I need the answer and the work (it’s geometry)
Answer:
B
Step-by-step explanation:
∠ CBD = ∠ ABE ( vertical angles ), thus
7x - 6 = 5x + 14 ( subtract 5x from both sides )
2x - 6 = 14 ( add 6 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10
Thus
∠ ABE = 5x + 14 = 5(10) + 14 = 50 + 14 = 64° → B
I need the answer and the work (it’s geometry)
HEYO!!!!!! HOW DO I GET YOUR GUY’S ATTENTION TO ANSWER MY QUESTIONS!
I HAVE SOME QUESTIONS:
NUMBER 1: Why do you solve for a specific variable?
NUMBER 2: Why would you want to solve for a specific variable variable?
NUMBER 3: Show an example of solving for a specific variable.
(I posted this same question like 4 times lol)
PLEASE ANSWER!!!!
Answer:
1. variable by itself with a coefficient of 1 on one side of the equation and all the other variables and constants on the other side.
2.Because solving an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equals sign. When seeking a solution, one or more variables are designated as unknowns.
Step-by-step explanation:
3x =4xyz - 12y
+12 +12
3x + 12y
----------
4xy
3x + 12y
---------- =z
4xy
What is the value of the expression below when x
3 and y = 8?
6x + 10y
Answer:
98
Step-by-step explanation:
So we have the expression:
[tex]6x+10y[/tex]
And we want to evaluate it when x is 3 and y is 8.
So, substitute:
[tex]=6(3)+10(8)[/tex]
Multiply:
[tex]=18+80[/tex]
Add:
[tex]=98[/tex]
And we're done!
If mXWZ = 90, what is x?
Answer:
x=11
Step-by-step explanation:
To Solve this equation, you need to understand the rules of complementary angles. In this case, XWY and YWZ make up XWZ. In this case, we would add them
5x+5+2x+8=90
7x+13=90
7x=77
x=11
Which of the following functions best describes this graph?
A. y = x2 -5x + 6
B. y = (x - 1)(x - 1)
C. y = x2 - x +5
D. y = (x - 3)(x + 1)
Answer:
B
Step-by-step explanation:
I think B because look at the line going down
Choose the answer that makes the sentence true. (Blank) real numbers are integers. A. All B. Some C. No
Answer:
Some real numbers are integer
Step-by-step explanation:
Real numbers ;
Natural numbers (counting numbers) = Integer Whole numbers = Integers Integers =Integers Rational numbers (fractions , repeating or terminating decimals) = Fraction and decimal are not integers Irrational numbers. = Not integerThe answer that makes the sentence true is, some real numbers are integers.
What are real numbers and integers?A real number is a number that is both a rational number and an irrational number. Examples of real numbers are 1, 3.14 and 0.
Integers are whole numbers. It is a number without a fraction or decimal component. Integers can either be positive, negative or zero.
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Jenny needs to sew two pieces of fabric together. One of the pieces is 3 1/12 inches and the other one is 6 5/8. What is the length of the pierce of fabric
Answer:
9 17/24in
Step-by-step explanation:
3 1/12 + 6 5/8 = length of fabric
We can add 3 and 6 since they are whole inches.
3 + 6 = 9
Now we add the fractions
1/12 + 5/8
We need to find a common denominator.
Each number goes into 24 so
1/12*(2/2) = 2/24 and 5/8*(3/3) = 15/24
2/24 + 15/24 = 17/24
So the total length of fabric is 9 17/24in
the greater of two consecutive odd integers is one less than twice the smallest. What are the integers?
Answer:
this might help you..
The required integers are 3 and 5.
It is required to find the integers.
What is integer?An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Zero is not a fraction or decimal of any number. It is neither positive nor negative.
Given:
Let smallest number as x
the Largest number as (x+2)
According to given question we have,
(x+2)=2x-1
3=2x-x
∴x=3
Smallest number=3
The Largest number =(x+2)=3+2=5
Therefore, the required integers are 3 and 5.
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The distance between two communication towers is 12.654 miles. What is this distance rounded to the nearest tenth of a mile?
Answer:
12.7 miles
Step-by-step explanation:
Note the place values:
12.654
1 (tens value)
2 (ones value)
.
6 (tenths value)
5 (hundredths value)
4 (thousandths value)
~
You are rounding to the nearest tenths value. Note that when rounding, you look at the value directly next to the one you are solving for. If the digit is 5 or greater, round up. If it is 4 or less, round down.
In this case, the hundredths value is a 5, so round up.
12.654 miles rounded to the nearest tenths value is 12.7
12.7 miles is your answer.
In a dessert factory, a hose pumps out 7.35 liters of chocolate syrup each minute. How many liters of chocolate syrup will the hose pump out in 6 minutes?
if the factory hose pumps out 7.35 liters of chocolate a minute and you have 6 minutes you could multiple and you would get 44.1(7.35x6=44.1)
2. Toby Vail.
Annual gross pay of $18,200.
Personal exemptions of $1,500.
State tax on first $3,000: 1.5 percent.
Tax on amount over $3,000:
3 percent.
Answer:
Toby Vail wis taxed for $456
Step-by-step explanation:
First, we make the deductions:
gross pay 18,200 - 1,500 deductions = 16,700 taxable income
Now, we make the tax-calculations:
first $3,000 x 0.015 = $ 45
above:
(16,700 - 3,000) x 0.03 = $411
Total tax levied from the State: $45 + $411 = $456
Notice how the tax is calcualte in brackets to solve for the different taxation rate at different income levels.
which of the following shows the correct solution steps and solution to 3x+2=17?
Answer:
[tex]\huge\boxed{\sf x = 5}[/tex]
Step-by-step explanation:
[tex]\sf 3x + 2= 17[/tex]
Subtracting 2 to both sides
[tex]\sf 3x = 17-2\\3x = 15[/tex]
Dividing both sides by 3
[tex]\sf x = 15/3\\x = 5[/tex]
The correct solution to the equation 3x + 2 = 17 is x = 5.
Let's find the correct solution to the equation 3x + 2 = 17:
Step 1: Subtract 2 from both sides to isolate the term with 'x':
3x + 2 - 2 = 17 - 2
3x = 15
Step 2: Divide both sides by 3 to solve for 'x':
3x / 3 = 15 / 3
x = 5
So, the correct solution to the equation 3x + 2 = 17 is x = 5.
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What is the value of the expression below when z = 6
Answer:
81
Step-by-step explanation:
[tex]2z^2+2z-3[/tex]
Using PEMDAS/BODMAS, we will have to do the exponent first, which is [tex]z^{2}[/tex].
Substitute the variable z with 6, since z = 6.
[tex]2(6^{2} )+2(6)-3[/tex]
[tex]6^{2} =36[/tex].
Thus, we will get
[tex]2(36)+2(6)-3[/tex]
Solve the multiplication next.
[tex]72+12-3[/tex]
Finally, add/subtract the numbers:
[tex]84-3[/tex]
[tex]81[/tex]
The value of the equation 2z² + 2z - 3 at 'z' equal to 6 is 81.
What is substitution?Substitution in mathematics is when we replace some specific numerical values to variables according to our wants or given in the problem.
Given, A quadratic equation 2z² + 2z - 3.
Now, The value of the equation at z = 6 can be obtained if we replace the variable z with it's numerical value which is,
= 2(6)² + 2(6) - 3.
= 2(36) + 12 - 3.
= 72 + 9.
= 81.
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How can you find the unit rate in a table and in a graph?
Table: To find the unit rate, divide the numerator and denominator of the given rate by the denominator of the given rate.
Graph: On a linear graph, the unit rate is obtained by calculating the slope of the line.
I do not know about the curve in the graph.
a line and a point are ________ coplanar. a. always b. sometimes c. never (The answer is not A)
Write an algebraic expression for the sum of six times a number and 25
Answer:
6x+25
Step-by-step explanation:
hope that helps
he capacity of a bottle used in the chemistry lab is 99 pints. What is the
capacity of the bottle in cups?
Answer:
it would be 49.5
Step-by-step explanation:
99/2=49.5