Answer:
a) w=6
b) a=3
c) c=7
Step-by-step explanation:
[tex]3w+6=4w[/tex]
[tex]\mathrm{Subtract\:}6\mathrm{\:from\:both\:sides}[/tex]
[tex]3w+6-6=4w-6[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]3w=4w-6[/tex]
[tex]\mathrm{Subtract\:}4w\mathrm{\:from\:both\:sides}[/tex]
[tex]3w-4w=4w-6-4w[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-w=-6[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-w}{-1}=\frac{-6}{-1}[/tex]
[tex]w=6[/tex]
___________________________________________
[tex]a+18=7a[/tex]
[tex]\mathrm{Subtract\:}18\mathrm{\:from\:both\:sides}[/tex]
[tex]a+18-18=7a-18[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]a=7a-18[/tex]
[tex]\mathrm{Subtract\:}7a\mathrm{\:from\:both\:sides}[/tex]
[tex]a-7a=7a-18-7a[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-6a=-18[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-6[/tex]
[tex]\frac{-6a}{-6}=\frac{-18}{-6}[/tex]
[tex]a=3[/tex]
Scott has 18 3/4 gallons of gas in his tank. If he uses 3/50 gallons of gas per mile he drives how many miles can he drive before his tank is empty.? Pls help!
Answer:
Step-by-step explanation:
I’m sorry that i can’t fully help and that i answered it wrong twice i also got stuck. I hope someone else helps you and that you get an a
18 3/4 as an improper fraction is 75/4.
75/4 can be re-written as 1875/100 (multiply both sides by 25)
3/50 can be re-written as 6/100 (multiply both sides by 2)
At midnight, the temperature was 31.2°F. In the morning, the temperature was −6.7°F. Which statement describes the temperatures?
At midnight, the temperature was 31.2 degrees above 0, and in the morning, it was 6.7 degrees lower.
At midnight, the temperature was 31.2 degrees below 0, and in the morning, it was 6.7 degrees higher.
At midnight, the temperature was 31.2 degrees above 0, and in the morning, it was 6.7 degrees below 0.
At midnight, the temperature was 31.2 degrees below 0, and in the morning, it was 6.7 degrees above 0.
Answer:
The third statemnet
Step-by-step explanation:
I say the third statement is correct because it says its 31.2 degrees above 0 which is positive. Also it says in the morning it was 6.7 below 0 which is negative which equlas-6.7. So that is why statement 3 is the correct answer.
Fran runs 5.4 miles a day. How far will he run in 6 days?
32.4 miles in 6 days.
Step-by-step explanation-
Given:-Fran runs 5.4 miles a day.
To find:-How far will he run in 6 days.
Solution:-Multiply using the formula
[tex]d = s \times t[/tex]
So, multiply:-
[tex]5.4 \times 6[/tex]
[tex] => \: 32.4 \: miles[/tex]
Therefore, he ran 32.4 miles in 6 days.
✍️ By Benjemin ☺️
Which of the following are valid names for the given triangle? Check all that apply
Step-by-step explanation:
i think the answer is c MAX
What is 441 divided by 7 with a remainder
Answer:
63
Step-by-step explanation:
Answer:
The answer to 441 divided by 7 calculated using Long Division is:
63
0 Remainder
Step-by-step explanation:
pls help me pls pls pls
Answer: I helped you. Troll!
Given j∥k and m∠1=40°. What is m∠6 ? Enter your answer in the box.
Answer:
140
Step-by-step explanation:
-3(x+3)+5<-3
How do you solve this inequality
Answer:
x<1/-3
Step-by-step explanation:
Distribute -3 to (x+3)
-3x-9+5<-3
add like terms (-9+5=-4)
-3x-4<-3
add 4 to both sides
-3x<1
divide both sides by -3
x<1/-3
At a department store, a woman's total was $284.00 for 7 items.
Answer:
40.5714
Step-by-step explanation:
Based on the given conditions, formulate: 284 ÷ 7
Evaluate the equation/expression: 40.5714
get the result: 40.5714
Answer: 40.5714
What is 0.000000037 written in scientific notation?
The scientific notation is 3.7 × 10^-8
:)
Simplify the algebraic expressions: 9(7x - 7)+(5x - 9)
Answer:
7x-7=0
5x-9=4x
4x(9)=36
x=36
OA.
Simplify the expression -3: (-3)
.
-7
-1
Oc. 1
OD. 71 격
CIH NIH
O B.
O .
Answer:
I hope I help you with your Q
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represent the following situations using quadratic equation in standard form
1. If the square of a number is added to 8 times the number, the result is 100
2. Mr. Apoloan wants to lay out a rectangular playground with an area of 30 square feet. The desired length will be 7 times the width
1. If the square of a number is added to 8 times the number, the result is 100.
Let x be the number.
Equation: x² + 8x - 100 = 0
2. Mr. Apoloan wants to lay out a rectangular playground which will contain 30 square feet. The desired length will be 7 times the width.
Area: 30ft²
Length: 7w
Width: w
Area of a rectangle: LW
(7w)w = 30ft²
Equation: 7w² - 30 = 0
How many real solutions does the equation have? √3x-1 =2x-5
Answer: 2 soulutions
Step-by-step explanation: Just factor them and solve the answer would be x = 4 √3 + 8 in its exact form and x = 14.92820323... in its decimal form
Describe how to round set to the best
HELP PLEASE QUICKLY
Please help me due soon
The circumference of the inner circle is 44 ft.
The distance between the inner circle and the outer circle is 4 ft.
Answer:176 is the answer if your asking for the outer circles circumfer
Step-by-step explanation:
Which of the following equations is the translation 2 units down of the graph of y = |x|?
y= lx - 2|
y= |x + 2|
y=|x| - 2
y=|x| + 2
I am cooking a recipe. It requires 7/2 of sugar. I only have a 1⁄4 cup to measure the sugar with. How many quarter cups would I need to measure the correct amount of
Answer:
14
Step-by-step explanation:
Convert [tex]\frac{7}{2}[/tex] to a fraction with a common denominator
[tex]\frac{7}{2} (\frac{2}{2} )=\frac{14}{4}[/tex]
You now divide the fractions to find the amount of correct measurements needed.
[tex]\frac{\frac{14}{4} }{\frac{1}{4} }[/tex] For dividing by a fraction it is the same a multiplying by its reciprocal.
This becomes [tex]\frac{14}{4} (\frac{4}{1} )=\frac{14}{4} (4)=14[/tex]
You will need 14 correct measurements.
HELPPPP
Which expression is a perfect square?
A. x² - 4x + 4
B. x2 - 4x - 4
C. 12 - 9x + 9
D. 12 - 9x – 9
Answer: Choice A
========================================================
Explanation:
A perfect square trinomial is of the form
(m+n)^2 = m^2 + 2mn + n^2
We can see why this works through use of the FOIL rule.
So the first and last terms must be perfect squares, and they must be positive. This rules out choices B and D since we have -4 and -9 as those last terms being negative.
Choice C is ruled out because the middle coefficient -9 isn't correct. The middle coefficient must be some even number since 2 is a factor of 2mn.
This leaves choice A. We can do a bit of trial and error to find that
(x-2)^2 = x^2 - 4x + 4
showing that choice A is a perfect square trinomial.
Answer:
A) x² - 4x + 4
Step-by-step explanation:
Given the following special factoring formulas on perfect square trinomials:
u² + 2uv + v² = (u + v)²
u² - 2uv + v² = (u - v)²
Apply these concepts on the given set of equations to see which special factoring formulas apply on the given options. I will only work on one of the given options, and you could apply these same techniques on the other ones to compare the results with your calculations.
To find the binomial factors of quadratic equations, you must find factors with product uv, and sum v.
In Option A: x² - 4x + 4
Right off the bat, it seems like the difference of squares may apply to this equation. You must find the factors that will product of 4 and a sum of -4.
The possible factors are:
product uv: -2 × -2 = 4,
sum v : -2 + -2 = -4
Hence, the binomial factor of x² - 4x + 4 = (x - 2)²
If you expand this binomial through FOIL method:
(x - 2)(x - 2) = x² - 2x - 2x + 4 = x² - 4x + 4
This means that the trinomial x² - 4x + 4 produces a perfect square binomial factors of (x - 2)².
Therefore, the correct answer is Option A) x² - 4x + 4.
Please mark my answers as the Brainliest, if you find this helpful :)
Can someone maybe help me on number 6 and 7?
Answer:
39 and 22
Step-by-step explanation:
your adding by 5 so if you continue that you'll get 39
as for the bottom one it's adding by by 3 so if we continue that we'll get 22
4/12 x 2/3 =___________=quien me diga le doy corona
Answer:
8/36= 2/9
Step-by-step explanation:
Answer:2/9
Step-by-step explanation:
1.) Keisha's kitchen is shaped like a square. The room has an area of 256 feet squared. Which is the length of one side of Keisha's kitchen?
Also the attachment, and is it rational or irrational?
Answer:
1. 16 ft
[tex]\sf 2.\quad \dfrac{29}{99}[/tex]
Step-by-step explanation:
Question 1Formula
Area of a square = s² (where s is the side length)
Given:
Area = 256 ft²Substitute the given area into the formula and solve for s:
[tex]\sf \implies 256=s^2[/tex]
[tex]\sf \implies \sqrt{256}=\sqrt{s^2}[/tex]
[tex]\sf \implies s=\pm 16[/tex]
As distance is positive, the length of one side of Keisha's kitchen is 16 ft.
Question 2Converting a recurring decimal to a fraction
Let x equal the recurring decimal:
[tex]\implies \sf x=0.292929...[/tex]
Create another number with recurring 29s by multiplying the above by 100:
[tex]\implies \sf 100x=29.292929...[/tex]
To solve these two equations and write x as a fraction, subtract the first equation from the second to remove all the recurring digits after the decimal point:
[tex]\begin{array}{r r c l}& \sf 100x &= &\sf 29.292929...\\- & \sf x&=& \sf \phantom{..}0.292929...\\\cline{1-4} & \sf 99x&=& \sf29\\\cline{1-4}\end{array}[/tex]
Therefore:
[tex]\implies \sf 99x=29[/tex]
[tex]\implies \sf x=\dfrac{29}{99}[/tex]
Therefore:
[tex]\sf \implies 0.\overline{29}=\dfrac{29}{99}[/tex]
Learn more about converting recurring decimals to fractions here:
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HELPP HURRY PLEASEE!!
its (a
Answer:
because h is being multipling by πr² and if we swich v for h
h going to be at front and v dividing all the acuation
Sam had $25 more than Mary, and together they had enough money to buy a video game for $57 and to pay $16 for two movie tickets. How much money did Mary have?
Answer:
Mary had $24
Step-by-step explanation:
So to solve this question, we first have to create an equation.
Mary's money=x
Since Sam had $25 more than Mary, $Sam+$Mary is (25+x)+x.
With this money, they can buy something worth $57 and something worth $16, so that means (25+x)+x=57+16
Now we solve the equation-->
(25+x)+x=57+16
Combine x and x to get 2x.
25+2x=57+16
Add 57 and 16 to get 73.
25+2x=73
Subtract 25 from both sides.
2x=73−25
Subtract 25 from 73 to get 48.
2x=48
Divide both sides by 2.
x= 2/48
Divide 48 by 2 to get 24.
x=24
reflection rule over x-axis , (x,y) =(x,-y). reflect over x-axis C(2,3) what is C
Answer:
(2, -3)
Step-by-step explanation:
Your answer was in the question, just apply the rule that was given (x, -y).
The coordinates of C(2, -3).
What is reflection?A reflection is a type of transformation that involves flipping a shape, known as the preimage, across a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you turned the form across the line to graph a reflection.
Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point.
Given:
The Rule for reflection is (x,y) =(x,-y).
As, the coordinates C(2, 3).
Now, after applying the reflection the coordinate of C become
c(2, 3) ----> C(2, -3).
Hence, the coordinates of C(2, -3).
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1 + -(2/3) - (-m) m = 9/2
answer
[tex]m = + 5 \div \sqrt{6 \: } \: \: \: or \: - 5 \div \sqrt{6} [/tex]
Sarah has a credit card balance of $9,450 with an APR of 17%. With her current budgeted payment, Sarah will be able to pay off this debt in 36 months. But Sarah’s best friend just invited her to spend two months in Europe with her in 9 months. Wanting to have her credit card balance paid off before she goes to Europe, Sarah decides to take on a second job. What additional monthly income will Sarah need in order to pay off her credit card in 9 months?
a.
$336.92
b.
$467.23
c.
$788.85
d.
$1125.77
Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
Using the information given,
We can find the current monthly payment Sarah is making using the formula for the present value of an annuity:
[tex]PMT = PV \times r \times (1 + r)^n / [(1 + r)^{n - 1}][/tex]
where PV is the present value (balance), r is the monthly interest rate (APR/12), and n is the number of months (36).
PMT.
[tex]= 9450 \times 0.17/12 \times (1 + 0.17/12)^{36} / [(1 + 0.17/12)^{36} - 1][/tex]
= $338.48
To pay off the balance in 9 months, Sarah needs to increase her monthly payment.
Let's call this additional payment x.
Then, we have:
[tex]9450 \times 1.17^{9/12} = (338.48 + x) \times ((1 + 0.17/12)^{9 - 1}) / (0.17/12)\\[/tex]
Solving for x, we get:
x = $1125.77
Therefore,
Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.
Learn more about expressions here:
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plssss answer the question
Simplify to create an equivalent expression.
(3n+6)⋅3+(2n+2)⋅4
Please help as soon as possible. Thanks! =D
Answer:
i don"t know ask your mom
Answer:
[tex](9n + 18) + (8n + 8) \\ = (9n + 8n) + (18 + 8) \\ = 17n + 26[/tex]