Answers
Solve for x.
4x + 7 = 5(x - 4)
4x + 7 = 5x - 20 <-- Distribute the 5
4x = 5x - 13 <-- Subtract 7 from each side
-x = -13 <-- Subtract 5x from each side
x = 13 <-- Divide both sides by -1
So, x is equal to 13.
Related Questions
Using the distributive property, an expression equivalent to 48 + 30 is
Answers
Answer: 6(8+5)
By using a distributive property the expression 48 + 30 will be written as 6(8+5).
What is distributive property?The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.
Given expression of addition is 48 + 30. The expression by using distributive property will be written as:-
E = 48 + 30
Take 6 commons from the above equation.
E = 48 + 30 = 6 ( 8 + 5 )
48 + 30 = 6( 8 + 5 ) ( Distributive property )
Therefore, by using a distributive property the expression 48 + 30 will be written as 6(8+5).
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Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build? An image of a compound shape made up of a rectangle and a triangle is shown. The length of the rectangle is labeled x and the width is labeled 6 feet. The base of the triangle is labeled 4 feet and the height is labeled 6 feet.
x = __________________ ft
Numerical Answers Expected! Answer for Blank 1:
Answers
Area of rectangle is : length × width
Area of triangle : 1/2 × base × height
So...
6x + (1/2 × 4 × 6) = 150
6x + 12 = 150
6x = 138
x = 23
The maximum length of the base of the rectangle he can build is 23 feet.
I need to know how to write this as a decimal with all the steps and everything plzz
Answers
An office supply store sells 128 pens in each bag. A business bought 9 bags of pens one month and 7 bags of pens the next month. How many pens total did the business buy?
A. 2,304 pens
B. 2,048 pens
C. 6,712 pens
D. 7,764 pens
Answers
Easiest way to solve this is to add the amount of bags the business bought.
7 + 9 = 16
After you find to total amount of bags bought you multiply the amount of pens in each bag by the total amount of bags the business bought.
16 * 128 = 2048
The business bought a total of 2,048 pens over two months. In the first month, they purchased 1,152 pens, and in the second month, they purchased 896 pens.
Explanation:The problem involves simple multiplication and addition operations. First, we need to find out how many pens the business bought in total for each month. In the first month, the business bought 9 bags of pens, and each bag contains 128 pens. So, we multiply 9 (number of bags) by 128 (number of pens per bag) to get 1,152 pens for the first month.
For the second month, the business bought 7 bags of pens. Again, we multiply 7 (number of bags) by 128 (number of pens per bag) to get 896 pens.
Finally, we add together the totals for the two months: 1,152 pens (for the first month) plus 896 pens (for the second month) gives us a total of 2,048 pens bought by the business over the two months. So, the correct answer is B. 2,048 pens.
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(5 x 8) x (5 x 8) = ___ squared
Answers
40×40
1,600
Write each number in standard form
9.03 x 10²
7.89 x 10³
4.115 x 10⁵
Answers
7.89x1000
4.115x100000
Translate the expression into a word phrase. k + 12 A. a number less than 12 B. 12 more than a number C. the product of a number and 12 D. the quotient of a number and 12 im sucky ;-;
Answers
when you use the word "more than" it means addition. when you use the word "less than" it means subtraction. when you use the word "product of" it means multiplication. when you use "quotient of" it mean division.
hope that helps, God bless!
original price: $325.50; Markdown; 15%
Answers
325.5 - 48.825 = 276.68 (rounded)
The Markdown price is $276.67
Hope this helps!
Nina wants to download games for her video game console. Older games cost $500 points and new releases cost 2000 points. Nina has 20,000 points to use. The equation 500a+2000b=20,000, where a is the number of older games and b is the number of new releases, models the situation. How many older games can she download if she downloads one new game? Four games?
Answers
(20000-2000)/500=36
(20000-8000)/500=24
The amount or money you earn at your job varies directly with the number of hours you work. How many hours will you need to work to earn $145 if you earn $21.75 for 3 hours?
Answers
If money you earn at your job varies directly with the number of hours you work. Then 20 hours will you need to work to earn $145 if you earn $21.75 for 3 hours
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
Amount or money you earn at your job varies directly with the number of hours you work
One can earn $21.75 for 3 hours
We need to find how many hours taken to earn $145.
To find this we form an equation.
Let x be the number of hours to earn 145
21.75/3=145/x
Apply cross multiplication
21.75x=3×145
21.75x=435
Divide both sides by 21.75
x=20
Hence, it took 20 hours to earn $145.
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Rachel types 162 words in 3 minutes Rachel types at a constant rate how many words does Rachel type per minute
Answers
Answer:
54 words does Rachel type per minute
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity as 1 such as 4 meter per seconds or 5 km per hour
As per the statement:
Rachel types 162 words in 3 minutes Rachel types at a constant rate.
We have to find how many words does Rachel type per minute.
By definition of unit rate:
[tex]\text{Unit rate per minute} = \frac{162}{3}[/tex]
Simplify:
[tex]\text{Unit rate per minute} =54[/tex] words
Therefore, 54 words does Rachel type per minute
The number of words typed by Rachael in one minute at a constant rate is 54 words
The parameters given :
Step-by-step explanation:
Number of words typed = 162 words Time taken = 3 minutesSince, the typing rate is constant ; the typing rate per minute can be calculated thus :
(Number of words typed ÷ number of minutes) (162 / 3) = 54 words per minute.Therefore, Rachael types at a constant rate of 54 words per minute.
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what property allows you to conclude that 5x+7x=12x
Answers
Hope this helps
Which number is not in scientific notation? 1.10 ⋅ 103 4.0 ⋅ 1016 7.03 ⋅ 10−2 350 ⋅ 102
Answers
the absolute value of a negative number is 2.78 what is the distance on the number line between the number and it's absolute value
Answers
Pre-Cal Help!! (Image Attached)
Answers
Check the picture.
For the moment let [tex]\displaystyle{ \cos\theta= \frac{8}{17} [/tex] (we make it positive since we are modeling using a triangle.)
Using the Pythagorean theorem, the length of the side opposite to angle [tex]\theta[/tex] is found to be 15 units.
We can see that the sine of theta is [tex]\displaystyle{ \sin\theta= \frac{opposite \ side}{hypotenuse}= \frac{15}{17} [/tex].
In the third quadrant, both sine and cosine of an angle are negative, so the actual values of the sine and cosine of theta are, eventually:
[tex]\displaystyle{ \sin\theta=- \frac{15}{17} [/tex], [tex]\displaystyle{ \cos\theta=- \frac{8}{17} [/tex].
Recall the double-angle identities (formulas):
[tex]\sin 2\theta=2\sin\theta\cos\theta[/tex], [tex]\cos2\theta=cos^2(\theta)-sin^2(\theta)[/tex].
Using these identities and the ratios found above, we have:
[tex]\displaystyle{ \cos2\theta=cos^2(\theta)-sin^2(\theta)=(- \frac{8}{17})^2-(- \frac{15}{17})^2=\frac{64}{289}-\frac{225}{289}=\frac{-161}{289}[/tex]
Similarly, applying the double angle formula for the sine we have:
[tex]\displaystyle{ \sin 2\theta=2\sin\theta\cos\theta=2\cdot(- \frac{8}{17})(- \frac{15}{17})=\frac{240}{289}[/tex]
[tex]\displaystyle{ \tan2\theta= \frac{\sin 2\theta}{\cos 2\theta}= \frac{\frac{240}{289}}{\frac{-161}{289}}= -\frac{240}{161} [/tex]
Answer:
[tex]\displaystyle{\cos2\theta=\frac{-161}{289}[/tex]
[tex]\displaystyle{ \tan2\theta= -\frac{240}{161}[/tex]
if fifty cents is divided equally among three friends there will be some cents left how many cents will be left
Answers
This can be solved by dividing 50 by 3 (the amount of friends, you're spiting the money with.)
50/3=16.6667
We have to round down in order to get a whole number: 16
16*3=48
50-48=2
If 50 cents is divided equally among three friends, each would get 16 cents and there would be 2 cents left over.
Hope this helps.
-Benjamin
Erica Sutherland earns a yearly salary go 45,650, how much would Erica earn in a monthly paycheck
Answers
divide the yearly pay by 12 ( 12 months in a year)
45650 / 12 = 3804.17 per month
If a litre of water is provided for 20 people, how much for 50 people?
Answers
the value of 9 in 901,532 is how many times the value of the 9 in 157,900?
Answers
the value of 9 in 157,900 = 900
to find out how many times greater, we must divide
900,000 / 900 = 1000
so it is 1000 times greater <==
A rectangular swimming pool has a volume of 2160 cubic feet. Water is being added to pool at a rate of about 20 cubic feet per minute. Use an equation in point-slope form to determine about how long it will take to fill the pool completely if there were already about 1200 gallons of water in the pool. Use the fact that 1 cubic foot of space holds about 7.5 gallons of water.
Answers
-> there is already 160 cubic ft. of water
y=20x+160
-> this is the equation
2160=20x+160
2000=20x
100=x
you need 100 cubic ft. more to finish filling the pool
What is 69,000 rounded to the nearest hundred
Answers
Hope this Helps
What is 69,000 rounded to the nearest hundred?
To round to the nearest hundred, you need to know whether the number next to hundred's place is greater than 5 or lesser than 5. If its greater than 5, you need to round up. If its lesser than 5, you need to round down.
69,000 → The number 0 is in the hundred's place. Zero has no value so thus you will be rounding down.
69,000 ≈ 69,000.
Hope I helped (:
Have a great day!
Write two expressions that represent 3/12
Answers
Ryan made 3/4 of a gallon of lemonade. Each glass holds 1/8 of a gallon of lemonade. How many glasses can Ryan fill?
Answers
3/4=6/8
1/8= one glass
So since there is 6/8 of a gallon, there would be 6 glasses.
6 Glasses Ryan can made.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For Example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Ryan made 3/4 of a gallon of lemonade.
Each glass holds 1/8 of a gallon of lemonade.
so, the number of glasses of Ryan made
= (3/4)/ (1/8)
= 3/4 x 8
= 3 x 2
= 6
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Which expression is a factor of 18x^2-15x+2 a) 3x-2 B) 9x-1 C) x-2 D)2x-1
Answers
= 6x(3x - 2) - 1(3x - 2)
= (6x - 1)(3x - 2)
The answer is a) 3x - 2
The expression (3x - 2) is a factor of the given expression 18x² - 12x - 3x + 2. The correct answer would be an option (A).
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
18x² - 12x - 3x + 2
We have to determine the factor of the given expression.
As per the question, we have
18x² - 12x - 3x + 2
Factor out the above expression, and we get
6x(3x - 2) - 1(3x - 2)
(6x - 1)(3x - 2)
Thus, the expression (3x - 2) is a factor of the given expression.
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what is the absolute value of -5
Answers
Answer: +5
Explanation: When a problem is asking us to find the absolute value of a number, it's really asking us how far is that number from zero.
So the absolute value of -5 is really asking us
how far is -5 away from zero on a number line.
I have drawn a number line below and you can see that -5
is 5 units to the left of zero which means its 5 units from zero.
So the absolute value of -5 is +5.
A number is42,300 when you multiplied by 10. Find the product of this number and 500
Answers
Estimated tax on tires that cost $498 with a 6.25% sales tax
Answers
0.0625($498) = answer
42 students and 6 faculty members at Byrd Middle school chose to retake their school pics .these #'s represent 1/12 of the students and 1/6 of the fuculty .what is the combined # of students and faculty members
Answers
Let s = # of students and f = # of faculty. We want to find s + f.
(1/12)s = 42. Mult. both sides by 12, we get s = 504.
(1/6)f = 6. Mult. both sides by 6, we get f = 36.
Then the total # of faculty and students combined is 504+36 = 540 (ans.)
Evaluate (1/4)^—2-(5^0x 2)x1^-1
Answers
Also, your x 2 should be written x^2 (the square of x).
But maybe that's not what you meant!
Your apparent use of "x" to indicate "multiply" makes things harder and more confusing. Please use " * " ONLY to denote multiplication.
Let's try again. Here's what I think I see:
(1/4)^(-2) - 1*2*1^(-1) and here is the evaluation:
16 - 2 = 32
Practice typing in expressions like these and then try to get some critique from your teacher regarding where you are correct and where you are not.
math help Brainliest will be given I solved RS wrong how do I do it I got 112
Answers
SR+RT = ST
plug in the given expressions to get
(-2x+24)+(4x+10) = 4x+12
Now solve for x
(-2x+24)+(4x+10) = 4x+12
-2x+24+4x+10 = 4x+12
2x+34 = 4x+12
2x+34-2x = 4x+12-2x
34 = 2x+12
34-12 = 2x+12-12
22 = 2x
2x = 22
2x/2 = 22/2
x = 11
If x = 11, then RS is,
RS = -2*x+24
RS = -2*11+24
RS = -22+24
RS = 2
-------------------------------------
-------------------------------------
Answers:
x = 11 and RS = 2
RS and RT are both segments on the same line. Therefore their equation can be added together and set equal to the equation that is given representing the entire length of segment ST.:
4x+10+ -2x+24=4x+12
Now that you have created one larger equation to solve for x you can now go ahead and combine like terms, (all the x's with the x's and the regular numbers with the regular numbers)
2x+34=4x+12
Now you must move the variables and constants to the opposite sides of the equation. This is called isolating the variable:
2x= 22
Now you can solve for x by dividing by 2 and your answer is x = 11
Now that you have solved for the value of x you can take that value and plug it into the equation that is given for the length of segment RS.
-2X+24 NOW BECOMESSS......
-2(11)+24= -22+24= 2
The length of segment RS is 2
The length of segment RT is 54The total length of segment ST is 56