Since PQ = QR = RS,
Let's set PQ equal to RS
2x + 3 = x + 10
Subtract x and 3 from both sides.
x = 7
PQ = 2x + 3 = 2(7) + 3 = 14 + 3 = 17
Since PQ = QR = RS,
QR = 17
January, Scott earned $8,999. In February, he earned $2,387 more than in January. In March, Scott earned the same amount as in February. How much did Scott earn altogether during those three months?
Answer:I believe it's 31,771
Step-by-step explanation: you first need to add 8,999 + 2,387 to get 11,386 then add 11,386 + 11,386 to get 22,772 and then add 8,999 to get 31,771.
Scott earns $31,771 altogether during those three months.
What are Arithmetic operations?Arithmetic operations can also be specified by the addition, subtract, divide, and multiply built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
We have to determine that Scott earn altogether during those three months.
We have been given that in January, Scott earned $8,999.
In February, he earned $2,387 more than in January.
So we have to add the amount of January and 2,387, we get
⇒ 8,999 + 2,387 = 11,386
In March, Scott earned the same amount as in February.
So the amount of March = 11,386
Therefore, He earns altogether during those three months as
⇒ 8,999 + 11,386 + 11,386
Apply the Addition operation in the above expression,
⇒ 31,771
Hence, Scott earns $31,771 altogether during those three months.
Learn more about Arithmetic operations here:
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Perform matrix subtraction to find the values of w,
x, y, and z.
Answer:
w = ⇒ 21
x = ⇒ 13
y = ⇒ -11
z = ⇒ -16
Step-by-step explanation:
The value of the matrix will be [tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]
What is the matrix?A matrix is a rectangular array of numbers that are arranged in rows and columns. The numbers are referred to as the matrix's elements or entries. Engineering, physics, economics, and statistics, as well as various disciplines of mathematics, all use matrices.
[tex]=\left[\begin{array}{ccc}17&12&\\-3&-2\end{array}\right] - \left[\begin{array}{ccc}-4&-1&\\8&14\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}w &x&\\y&z\end{array}\right] = \left[\begin{array}{ccc}21&13&\\5&-16\end{array}\right][/tex]
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Write two polynomial functions whose quotient will be the same degree as the divisor.
Answer:
[tex]f(x) = 6x^2 - 11x + 4[/tex]
[tex]g(x) = 3x - 4[/tex]
[tex]q(x) = 2x - 1[/tex]
Step-by-step explanation:
Represent the two polynomials with [tex]f(x)[/tex] and [tex]g(x)[/tex]
Let
[tex]f(x) = 6x^2 - 11x + 4[/tex]
[tex]g(x) = 3x - 4[/tex]
The quotient of two polynomial is the result of division between the two polynomials
Let q(x) represent the quotient polynomial
[tex]q(x) = \frac{f(x)}{g(x)}[/tex]
Where g(x) is the divisor
[tex]q(x) = \frac{6x^2 - 11x + 4}{3x - 4}[/tex]
Factorize the numerator
[tex]q(x) = \frac{6x^2 - 3x - 8x + 4}{3x - 4}[/tex]
[tex]q(x) = \frac{(3x -4)(2x - 1)}{3x - 4}[/tex]
[tex]q(x) = 2x - 1[/tex]
Notice that: q(x) and g(x) have the same degree of 1
Whats 1+1 ? I need help ASAP im rlly confused
Answer:
2
Step-by-step explanation:
hold one finger up, and add another, then count how many fingers you have
Answer:
2
Step-by-step explanation:
write a word phrase for
[tex] - 5 - 4n[/tex]
-5: negative five
-: minus
4n: a number times four
Put everything together.
Negative give minus a number times four.
Best of Luck!
Please hurry! :) Its a get more math question.
The sales price is 44. 37 dollars.
Answer: $44.37
Step-by-step explanation:
63.38 x 30/100 (or x 0.3)
You save: $19.01
$63.38 - $19.01 = Final price of $44.37
work out 6d + 8 = 14 + 3d
In 6d + 8 = 14 + 3d , D=2
Isolate the variable by dividing each side by factors that don't contain the variable.
Help plzzzzzzzzzzzzzzzzzz
Answer:
109
Step-by-step explanation:
To solve you must work backward, she has 8 jars of 13 pieces so first do
8*13=104, she currently has 104 pieces. Then add back the five she ate and you get 109
Answer:
109
Step-by-step explanation:
If Anita split the candy into 8 jars, each jar containing 13 pieces of candy, you need to multiply 8 x 13 to get the amount of candy she had after eating the 5 pieces. 8 x 13 is 104. Then, you need to add the 5 pieces of candy she ate before splitting the candy into jars, meaning you must add 5 to 104. 5 + 104 = 109.
how to solve −3d + 10 = 43
Answer:
-3d = 43-10
-3d = 33
d = 33/-3
d = -11
Answer:
d = 11
Step-by-step explanation:
Simplifying
3d + 10 = 43
Reorder the terms:
10 + 3d = 43
Solving
10 + 3d = 43
Solving for variable 'd'.
Move all terms containing d to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 3d = 43 + -10
Combine like terms: 10 + -10 = 0
0 + 3d = 43 + -10
3d = 43 + -10
Combine like terms: 43 + -10 = 33
3d = 33
Divide each side by '3'.
d = 11
Simplifying
d = 11
Hope this helps!
on a time Find the midpoint of segment GL if G (- 2, 46) and L (4, 10). Write your anwer in coordinate pair form (x, y)
Answer:
(1, 28 )
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
[ [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] ]
here (x₁, y₁ ) = G(- 2, 46) and (x₂, y₂ ) = L(4, 10), thus
midpoint = ([tex]\frac{-2+4}{2}[/tex] , [tex]\frac{46+10}{2}[/tex] ) = ([tex]\frac{2}{2}[/tex] , [tex]\frac{56}2}[/tex] ) = (1, 28 )
WORTH 85 POINTS!!
explain in FULL sentences!!!
A student conducted an experiment to test whether talking to plants would help them to grow faster. He set up the following two groups: Group 1: spoken to and hand watered Group 2: not spoken to and hand watered After three weeks, the plants in Group 1 showed much more growth than those in Group 2.
Name the independent and dependent variable.
Answer: Group 1 is the dependent variable, and group 2 is the independent
Step-by-step explanation: The dependent variable is the variable that is being measured or tested in an experiment. So, Group 1 would be the dependent variable, because as it says the the group 1 plants were spoken to and hand watered as in they changed the outcome of the experiment.
The independent variable is the variable the experimenter changes or controls. So, the independent variable would be group 2 because the group 2 plants outcome was not determines anything but it's self.
Please help me! I’m stuck - Mathematics
Answer:
17. 13
18. 3x + 12
19. 1/4
Step-by-step explanation:
17.
[tex]3a + b = 3(5) - 2 \\ = 13[/tex]
18.
[tex]3(x + 4) = 3x + 12[/tex]
19.
[tex]p \: = \frac{3}{3 + 4 + 5 } \\ = \frac{3}{12} \\ = \frac{1}{4} [/tex]
Answer:
Step-by-step explanation:
17. 3(5) + 2 = 15 + 2 = 17
18. 3(x + 4) = 3x + 12
19. 3/(3+4+5)= 3/12= 1/4
What is slope intercept form?
O y = mx + b
OAX + By = C
O a^2 + b^2 = c^2
m is the slope
Answer:
y = mx + b
m is the slope and b is the y intercept, if I remember correctly
hope this helps :)
(6.42)-(-3.2) Btw I need to show my work...
Answer:
9.62
Step-by-step explanation:
Simplify the expression.
(6.42)+(-3.2)= 9.62
4(2x – 8) = 3(2 – Зх)
Marcus and Emma went to the store together. Marcus had $2.00 and Emma had $4.50. Together they spent $6.00. What expression could be used to find the combined amount Marcus and Emma have left?
Answer:
$6.00-($2.00+$4.50)
in other terms, 6 - (2 + 4.5)
Step-by-step explanation:
So first, we know that they spent 6 in total. To figure out how much they spent, we need to figure out how much they had all together.
To get how much all together, we have to add. 2 + 4.5
Now that we now how to get the total amount, out them in parentheses and add the 6 infront.
Since we need to find the remaining amount, were subtracting 6 from the total, hence the parentheses.
All this leads to the expression: 6 - (2 + 4.5)
Hope this helps :)
What is 4,672.183 rounded to the nearest hundredth?
Answer:
The correct answer is 4,672.18.
Step-by-step explanation:
To solve this problem, we must look at the number we are given and determine what numbers are in which places. The 4 is in the thousands place, the 6 is in the hundreds place, the 7 is in the tens place, the 2 is in the ones place, the 1 is in the tenths place, the 8 is in the hundredths place, and the 3 is in the thousandths place.
The question asks us to round to the nearest hundredth, so this means that the number in the hundredths place should be the final digit. In the number given, the number 8 is in the hundredths place. Since the following digit (3) is less than 5, we round down and keep the 8 in the hundredths place. This makes our answer 4,672.18.
Hope this helps!
On his first day of school, Kareem found the high temperature in degrees Fahrenheit to be 76.1°. He plans to use the function C of F = five-ninths (F minus 32) to convert this temperature from degrees Fahrenheit to degrees Celsius. What does C(76.1) represent?
Answer: the temperature of 76.1 degrees Fahrenheit converted to degrees Celsius
Step-by-step explanation:
Answer:Aka) A
Step-by-step explanation:
If 3x = 27, then x =
Answer:
x = 9
Step-by-step explanation:
3x = 27
3/3x = 27/3
x = 9
State the y-intercept of the function: f(x) = 3x - 6 *
Answer:
The y-intercept is -6.
Step-by-step explanation:
What is the value of x?
34
56
68
79
Answer:
The answerer to this question is a 34
Step-by-step explanation:
Answer:
A. 34
Step-by-step explanation:
the mean number of goals scored is 2.5 the mean number of away goals scored is 1.8 how many home and away games have been played in total
write an equation for the sentence. (Do not use any spaces) six times the sum of a number and five is 16
x = a number
6(x+5)=16
Answer:
If you're using x for "a number" then: 6(x+5)=16
if
f(x)=5x+7
and
g(x)=-2x-4
find
f(g(x))=___x+___
Answer:
Step-by-step explanation:
g(x) = -2x - 4
f(-2x -4)
5(-2x - 4) + 7
-10x - 20 + 7
-10x - 13
Cuánto mide el lado de un cuadrado si su área es de 20 cm
Fractions and integer operations practice, I need help please.
what is the value of (5.3x10^4)(4.2x10^3)l
Answer:
scientific notation = 2.226 * 10^8
Standard form = 222600000
As it is 22.26 * 10^7
Step-by-step explanation:
(5.3x10^4)(4.2x10^3)
Since all the numbers are being multiplied by each other, one can use the associative property to change the order in which they are multiplied.
5.3 x 10^4 x 4.2 x 10^3
= 5.3 * 4.2 * 10^4 * 10^3
= 22.26 * 10^7
Either convert back to scientific notation, standard form or keep as it is.
scientific notation = 2.226 * 10^8
Standard form = 222600000
As it is 22.26 * 10^7
Solve the equation
-4(-3+2p) = -2(6p - 1).
Need help fast please
Answer:
-2.4
Step-by-step explanation:
distribute the -4 and -2
add 12p to both sides
subtract 12 from both sides
divide
Solve the equation for the variable. Make sure your answer is in simplest form.
[tex]30x + 18 = 35 - 4x[/tex]
[tex]x = \frac{?}{?} [/tex]
Enter the numbers that belong.
Answer:
[tex]x = \frac{1}{2} [/tex]Step-by-step explanation:
[tex]30x+18=35−4x[/tex]
First of all using the addition property add 4x to both sides
That's
[tex]30x + 4x + 18 = 35 + 4x - 4x \\ 34x + 18 = 35[/tex]
Next using the subtraction property subtract 18 from both sides to make 34x stand alone
We have
[tex]34x + 18 - 18 = 35 - 18 \\ 34x = 17[/tex]
Divide both sides by 34
That's
[tex] \frac{34x}{34} = \frac{17}{34} [/tex]
We have the final answer as
[tex]x = \frac{1}{2} [/tex]
Hope this helps you
All 60 students in the seventh grade must choose a fall sport in which they will participate. If 2/5 of them choose volleyball, 25% of them choose soccer, and the remainder choose softball, how many students choose softball?
Answer:
21
Step-by-step explanation:
24 play volleyball
15 play soccer
Softball= 60-(24+15)=21
or
2/5 = 40%
100% -(40+25)= 35%
60x0.35=21