Answer:
x = [tex]\frac{y-2}{5}[/tex]
Step-by-step explanation:
Given
y = 5x + 2 ( subtract 2 from both sides )
y - 2 = 5x ( divide both sides by 5 )
[tex]\frac{y-2}{5}[/tex] = x
Answer:
x= y-2/5
Step-by-step explanation:
y=5x+2
y + (-2) = (5x+2) + (-2)
y-2=5x+2-2
and then you get your answer
And by the way after you wrote for the answer y-2 it needs to be the fraction sigh and then under neath write 5
A rectangle has a length of 27 feet less than nine times its width. If the area of the rectangle is 972 find the length of the rectangle
The length of Rectangle is 81 feet's.
We have a rectangle which has a length of 27 feet less than nine times its width and the area of the rectangle is 972.
We have the length of the rectangle.
State the formula to calculate the Perimeter and Area of Rectangle?The Area of a Rectangle = A = L x B
The Perimeter of a Rectangle = P = 2(L + B)
According to the question, we have -
Area = 972 square feet's.
Let the length of rectangle be x and width be y.
Then -
x = 9y - 27
Now -
Area = 972
xy = 972
y(9y - 27) = 972
9y(y - 3) = 972
y(y - 3) = 108
[tex]$y^{2} -3y -108 = 0[/tex]
(y - 12)(y + 9) = 0
y - 12 = 0 or y + 9 = 0
y = 12 or y = - 9
But width cannot be negative. Therefore -
y = 12.
Now, length = x = 9y - 27 = 12 x 9 - 27 = 108 - 27 = 81.
Hence, the length is 81 feet's.
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Tickets for the school play sell for $4 each. Which graph shows the relationship between the number of tickets sold (x) and the total income from the tickets (y)?
A?
B?
C?
D?
If f(x) = 1/x+1 and g(x) = x^2, what does f(g(-1)) equal?
A. -1
B. -1/2
C. 0
D. 1/2
E. 1
Answer:
D: f(g(-1)) = 1/2
Step-by-step explanation:
f(x) = 1/(x + 1)
g(x) = x²
g(-1) = 1
f(g(-1)) = 1/(1 + 1)
f(g(-1)) = 1/2
-58= -2(5n + 4) Explain your solution process
[tex]\text{Hello there!}\\\\\text{Solve for n:}\\\\-58= -2(5n + 4)\\\\\text{Distribute the-2 to the numbers in the parenthesis}\\\\-58= -10n -8\\\\\text{Add 8 to both sides}\\\\-50=-10n\\\\\text{Divide both sides by -10}\\\\\large\boxed{5=n}[/tex]
Which two ratios are equivalent to 10 : 12? 11:13 and 20:24 B. 10:12 and 11:13 C. 5:6 and 20:24
Answer: 5;6
Step-by-step explanation:
10 divided by 2 is 5
12 divided by 2 is 6 and plus I got this answer correct
Equivalent ratios are ratios that hold the same value.
[tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex] are equivalent to 10:12
The ratio is given as:
[tex]\mathbf{Ratio = 10 : 12}[/tex]
Divide by 2
[tex]\mathbf{Ratio = 5 : 6}[/tex]
This means that, the two ratios to look out for must have the same value as 5 : 6.
From the list of options, we have:
[tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex]
Divide 20 and 24 by 4
[tex]\mathbf{(c)\ 5 : 6\ and\ 5 : 6}[/tex]
Hence, [tex]\mathbf{(c)\ 5 : 6\ and\ 20 : 24}[/tex] are equivalent to 10:12
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Whats
180,000+66. ; )
Answer:
I'm gonna take a wild guess and say 180,066 ;)
Answer:
180,066
Step-by-step explanation:
Simply add the two numbers. :) 180,000
+ 66
-------------
180,066
How many solutions does this equation have?
7 - 8 = -8j
no solution
one solution
infinitely many solutions
Fill in the blank in the sentence below with the correct term.
A _______ is a comparison of two quantities by division.
In mathematics, a ratio is the correct term to fill in the blank. It's a division-based comparison of two quantities, such as 4 apples to 2 oranges being a 2:1 ratio, indicating two apples for every orange
Explanation:A ratio is a comparison of two quantities by division. For example, if you have 4 apples and 2 oranges, the ratio of apples to oranges is 4/2 or 2:1. This means you have two apples for every one orange. Therefore, a ratio is described as a fraction or a division that reveals.
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Identify the irrational sum(s). Select all that apply.
Answer:
The first one and the second one. Square root of 9 plus the square root of 7, and 10 plus Pi.
Step-by-step explanation:
Split 90 into two parts so that one part is four times the other part
Answer:
the other part = 72 = 4*18
18+72 =90
The splitted values of a and b based on the conditions given in the question are :
a = 18b = 72Let the two parts be a and b
b = 4a - - - (1)Hence,
a + b = 90 - - - - (2)From (1) :
a + (4a) = 905a = 90a = 90/5a = 18Therefore ; From (1) :
b = 4(18) = 72Therefore, the two parts of a and b are 18 and 72 respectively.
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6×104 find the value
Answer:
624
Step-by-step explanation:
3. Your father gives one-half of the money in his pocket to your mother, one-fourth of what is left to your brother, and one-third of what then remains to your sister. He then splits the rest with you. If you get $4.00, how much did your father start with?
Answer:
The father start with $16
Step-by-step explanation:
Let
x -----> the original amount of money
step 1
Your father gives one-half of the money in his pocket to your mother
[tex]\frac{1}{2}(x)=\frac{1}{2}x[/tex]
The remaining is
[tex]x-\frac{1}{2}x=\frac{1}{2}x[/tex]
step 2
Your father gives, one-fourth of what is left to your brother
[tex](\frac{1}{4})\frac{1}{2}x=\frac{1}{8}x[/tex]
The remaining is
[tex]\frac{1}{2}x-\frac{1}{8}x=\frac{3}{8}x[/tex]
step 3
Your father gives one-third of what then remains to your sister
[tex](\frac{1}{3})\frac{3}{8}x=\frac{3}{24}x[/tex]
The remaining is
[tex]\frac{3}{8}x-\frac{3}{24}x=\frac{6}{24}x=\frac{1}{4}x[/tex]
step 4
Your father gives the rest with you
[tex]\frac{1}{4}x=\$4[/tex]
[tex]x=\$16[/tex]
therefore
The father start with $16
What group set out to make sure woman knew how to use their votes wisely? -Apex
A. AWSA
B. NWSA
C. NAWSA
D. League of Women Voters
The group set out to make sure woman knew how to use their votes wisely is NWSA
What is National Woman Suffrage Association?The National Woman Suffrage Association (NWSA) was formed on May 15, 1869, to work for women's suffrage in the United States. Its main leaders were Susan B. Anthony and Elizabeth Cady Stanton.
Given is to find out which group set out to make sure woman knew how to use their votes wisely.
The NWSA wanted a constitutional amendment to secure the vote for women, but it also supported a variety of reforms that aimed to make women equal members of society.
Therefore, the group set out to make sure woman knew how to use their votes wisely is NWSA.
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In a community garden (shown to the right) you want to plant and fence in a vegetable garden that is adjacent to your friend’s garden. You have at most 54 ft of fence, and the fence must surround all four sides of your garden. What are the possible lengths of your garden
To find the possible lengths of the garden, use the perimeter formula and solve the inequality x <= 27 ft.
Explanation:To find the possible lengths of your garden, you need to determine the perimeter of the garden. Since you have at most 54 ft of fence, the perimeter must be less than or equal to 54 ft.
Let's assume the length of your garden is 'x', then the width would be (54 - 2x)/2.
The perimeter formula is P = 2L + 2W, so substituting the values we have, 2x + 2[(54 - 2x)/2] <= 54.
Simplifying this inequality, we get x + 54 - 2x <= 54. Solving for 'x', we get x <= 27.
Therefore, the possible lengths of your garden are any value less than or equal to 27 ft.
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nalia worked 3.5 hours more than lisa together they worked a total of 18 hours lisa worked h hours
Answer:
7.25 and 10.75 Hours
Step-by-step explanation:
Total hours Nalia and Lisa worked = 18 Hours
Nalia worked 3.5 hours then Lisa which is [tex]h[/tex] hours
⇒[tex]h + (h + 3.5) = 18[/tex]
[tex]2h + 3.5 = 18\\2h = 18 - 3.5\\2h = 14.5\\h = \frac{14.5}{2} \\h = 7.25[/tex]
Lisa has worked for 7.25 hours
Nalia has worked for = 7.25 + 3.5 = 10.75 hours
2x -1 + x +1 = 180
PLEASE SOLVE CORRECTLY
Answer:
x = 60
Step-by-step explanation:
Combine like terms on the left side of the equation: 2x + x = 3x; -1 + 1 = 0 so the total for the left side is just 3x. Now compare it to the full equation that you have left now, 3x = 180 now do 180/3 = 60
Hope this helps!
I am a pattern block that has 2 fewer sides than a hexagon. I have 2 pairs of parallel sides a 4 right angles. Which shape am I
The shape described is a square, having four sides, two pairs of parallel sides, and four right angles, making it two sides fewer than a hexagon.
The shape you are referring to is one with four sides, two pairs of parallel sides, and four right angles. A hexagon has six sides, so a shape with two fewer sides would have four sides. This description matches that of a rectangle. However, since all angles are right angles, which is 90 degrees, this particular rectangle is also a square. Therefore, the pattern block shape you are asking about is a square, which fits the criteria of having two fewer sides than a hexagon, two pairs of parallel sides, and four right angles.
Which point represents the ordered pair (2, -4)? A B C D
Solve the equation for the specified variable
Y=cd-8, for c
A box contains 24 oranges. Mr. Lee ordered 8 boxes for his store and 12 boxes for his restaurant.
a. Write an expression to show how to find the total number of oranges ordered.
b. Next week, Mr. Lee will double the number of boxes he orders. Write a new expression to represent the number of oranges in next week’s order.
c. Evaluate your expression from Part (b) to find the total number of oranges ordered in both weeks.
Answer:
a)480
b)960
c)1440
Step-by-step explanation:
We are given the following information:
Number of oranges in a box = 24
a)Boxes ordered by Lee for his store = 8
Number of boxes ordered by Lee for his restaurant = 12
Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box
[tex]= (8+12)\times 24 = 20\times 24 = 480[/tex]
b) Now Mr. Lee doubled his order for next week.
Boxes ordered by Lee for his store = 16
Number of boxes ordered by Lee for his restaurant = 24
Total number of oranges ordered = Total number of boxes ordered × Number of oranges in 1 box
[tex]= (16+24)\times 24 = 40\times 24 = 960[/tex]
c) Total number of oranges ordered =
[tex](20\times 24) + (40\times 24) = (20+40)\times 24 = 1440[/tex]
Therefore, total 1440 oranges were ordered by Mr. Lee.
On average the number of electronic keyboards sold in California each year is equivalent to seven times the average number sold yearly in Wyoming. If, on average,
there are 98,749 electronic keyboards sold each year in California, how many are sold in Wyoming?
Keypad
Answer:
14107 sold in Wyoming
Step-by-step explanation:
98749 / 7
Final answer:
To find out how many keyboards are sold in Wyoming when the number sold in California is given, divide the California sales by 7. Resulting in 14,107 keyboards sold in Wyoming
Explanation:
Mathematics:
The average number of electronic keyboards sold in California each year is seven times the average number sold yearly in Wyoming. If 98,749 keyboards are sold in California, you can find out how many are sold in Wyoming by dividing the number sold in California by 7.
Step-by-step explanation:
98,749 keyboards sold in California / 7 = Number of keyboards sold in Wyoming
98,749 / 7 = 14,107 keyboards sold in Wyoming
Given AC = LN and BA= ML, which statement must be
true?
MBC
BC > MN
BC = MN
BA= LN
Answer:
The answer is A
Step-by-step explanation:
Answer: The correct Answer Is A BC<MN
Step-by-step explanation:
Sarah is making strings of beads in the first string she uses 3 beads and she triples the number of beads in each of the next strings identify the number of beads she uses in 5th string.
Answer:
She uses 243 beads for the 5th string.
Step-by-step explanation:
In this problem, we can see a pattern. If she triples the number of beads in each of the next strings, that means that we just take the last number and multiply by 3. If the first string uses 3, then:
The second uses 9, 3 * 3 = 9
The third uses 27, 9 * 3 = 27
The fourth uses 81, 27 * 3 = 81
And the 5th uses 243, 81 * 3 = 243.
Please Help me!!!!!!!!!!!!
Answer:
D. 69 in.²
Step-by-step explanation:
[tex] {a}^{2} + 2a \sqrt{\frac{ {a}^{2}}{4} + {h}^{2}} = S. A. [/tex]
[tex] {3}^{2} + 2(3) \sqrt{ \frac{9}{4} + (10)^{2}} = 9 + 6[(1\frac{1}{2}) + 10] = 9 + 69 = 78 \\ \\ 78 ≈ 69[/tex]
So, what happened here was that whenever you have squares under the radical, you undo the square root, causing the radical to vanish, so with that, you have your answer.
I am joyous to assist you anytime.
Solve y = x + 4 for x.
x = y − 4
x = y + 4
x = −y + 4
x = −y − 4
Answer:
x=y-4
Step-by-step explanation:
y=x+4
-4
y-4=x
Answer:
Option A.
Step-by-step explanation:
y = x + 4
As we know if we perform a similar operation on both the sides of the equation it doesn't affect the parent equation.
So we subtract 4 on both sides of the equation
y - 4 = (x + 4) - 4
x = y - 4
Therefore, option A. will be the answer.
Round 9.843 to the nearest tenths
Answer: 9.8
Step-by-step explanation:
Can you explain this for me it im3 thank you
Answer: see graph (attached)
Step-by-step explanation:
This is 4 line segments on one graph.
Segment 1
y = -2 when x is between -2 and -1
including -2 (closed dot) excluding -1 (open dot)Segment 2
y = -1 when x is between -1 and 0
including -1 (closed dot) excluding 0 (open dot)Segment 3
y = 0 when x is between 0 and 1
including 0 (closed dot) excluding 1 (open dot)Segment 4
y = 1 when x is between 1 and 2
including 1 (closed dot) excluding 2 (open dot)See graph for each of the line segments plotted on the graph
what is the prime numbers from 200 to 300
Answer:
211, 223, 227, 229, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293Step-by-step explanation:
We create a table of all numbers from 200 to 300.
Look at the picture (#1).
We cross out all even numbers (#2).
We find the first number divisible by 3 (201) and cross out every third number (#3).
We continue this way (numbers divisible by 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41,...).
In your task, it is enough until 17.
Answer and Step-by-step explanation:
Good Day Mate!
The prime numbers from [tex]200[/tex] to [tex]300[/tex] are : [tex]211, 223, 227, 229, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293[/tex]
There are about 14 prime numbers from 200 to 300!
Josh used an algorithm to find the product for 9x 239. His work is shown below is josh work correct? Explain
239
x9
1800
270
+81
2,151
Answer:
No
Step-by-step explanation:
His work is NOT correct. Please use the picture above ^^
Answer:
Step-by-step explanation:
Answer:
Yes, Josh's work is correct.
Explanation:
He is multiplying the place value of each digit by nine and then adding the products.
9 × 2 hundreds = 18 hundreds
9 × 3 tens = 27 tens
9 × 9 ones = 81 ones
The diagram below shows how the place values line up.
PLEASE HELP! ILL MARK BRAINLIEST Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = nine divided by x squared + 2
y = (9 / (x^2)) + 2
Rewrite in terms of f(x):
y = (9/(g(x))) + 2
To get
g(x) = x^2
f(x) = 9/x + 2