Answer:
3x = 14
Step-by-step explanation:
Given the two linear equations, 5x - y = 6 and -2x + y = 8:
We can add both equations the same way we add integers. The only difference is that we add the terms with the same variables.
5x - y = 6
+ -2x + y = 8
3x + 0y = 14 or 3x = 14
Therefore, the sum is 3x = 14.
A coat is priced $50. If the sales tax is 7% of the price, how much is the sales tax? What is the total cost including sales tax?
Answer:
The sales tax is $3.5
The total cost is $53.5
Step-by-step explanation:
To find the sales tax, you have to find the 7 percent of 50 dollars. In decimal form, 7% is 0.07. So you just have to multiply 0.07 to 50.
50 x 0.07 = 3.5
That's why $3.5 is the sales tax.
In order to get the total cost including sales tax. You just have to add $50 to the sales tax which is $3.5.
$50 + $3.5 = $53.5
The equation P=4s represents the perimeter P of a square with side length s. What is the perimeter of a square with a side length of 5ft ?
The perimeter is.
Answer:
20 feet
Step-by-step explanation:
s= side
P= 4s
I our case, s is 4, so 4*5 is 20.
Hence,
P=20
Hope this helps!
help me please!!!??
Answer:
1/6
0.95833333333
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
1/6 (1/4) + 17/24 = 1/24 + 17/24
=3/4
how do i turn
[tex] \frac{63}{56} [/tex]
to a mixed fraction?
Step-by-step explanation:
63/56 = 9/8 = 1⅛.
hope this helps you.
Answer:
1 1/8.
Step-by-step explanation:
First divide 63 by 56 .
This gives 1 with a remainder of 7.
So we can write the mixed number as 1 7/56.
This simplifies to 1 1/8.
(X-1)squared
Expand and simplify
Answer:
Step-by-step explanation:
(a - b)² = a² -2ab + b²
Here, a = x and b = 1
(x -1)² = x² - 2 * x *1 + 1²
= x² - 2x + 1
[tex]\sf \longmapsto \:( x + 1) {}^{2} [/tex]
[tex]\sf \longmapsto(x+1)(x+1)[/tex]
[tex]\sf \longmapsto(x)(x)+(x)(1)+(1)(x)+(1)(1)[/tex]
[tex]\sf \longmapsto \: x {}^{2} +x+x+1[/tex]
[tex]\sf \longmapsto \: x {}^{2} +2x+1[/tex]
[tex] \boxed{ \boxed{ \red {\sf x {}^{2} +2x+1}}}[/tex]
if i get 1 pack of pepsi bottles 8-pack how much would it be if it i can get 3 for $12.88?
Answer:
38.64
Step-by-step explanation:
If 3 = 12.88
Then Just do 12.88+12.88=25.76 which also equal 6. Then 12.88/2=6.44
so 25.76+6.44+6.44=38.64
Therefore it would be 38.64.
I'm not sure but base on the math above I think the answer is 38.64
Razi is filling bags with party favors for his birthday party. The table to the right shows the number of bags he still needs to fill after 4, 5, 6, and 7 minutes. If he is working at a constant rate, what was the initial number of party favor bags Razi had to fill? 36 48 52 56
Answer:52
Step-by-step explanation:.
By using the concept of the point-slope form of an equation,
The initial number of party favor bags Razi had to fill would be 52.
In this situation, the independent variable (x) is the amount of time in minutes.
The dependent variable (y) is the number of bags remaining.
Since he is working at a constant rate, this makes it a linear function.
In a linear function, the amount he had to fill, to begin with, is the y-intercept.
Since The point-slope form of the equation is,
y - y₁ = m(x - x₁)
First, we find the slope using the formula
m = (y₂-y₁)/(x₂-x₁)
m = (32-36)/(5-4)
m = -4/1
m = -4
Using this and the first point, we have
y - 36 = - 4(x - 4)
Using the distributive property, we have
y - 36 = -4(x)- 4(-4)
y - 36 = -4x--16
y - 36 = -4x + 16
Add 36 to each side:
y - 36 + 36 = -4x + 16 + 36
y = -4x + 52
So, for the initial number of party favor bags Razi had to fill;
Substitute x = 0;
y = - 4 (0)+ 52
y = 52
Hence,
The required initial number is 52.
To learn more about the equation of line visit:
https://brainly.com/question/18831322
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The missing table in the question is attached below.
Fatima writes down three square numbers.
The total of the square numbers is 30.
Which square numbers did Fatima write down?
Answer:
10
Step-by-step explanation:
Fatima wrote down 3 square numbers
since we don't know the three square we will represent it by any variable (X)
3x=30
so you divide both sides by 3
so we have 3x/3=30/3=10
therefore the answer is 10
The total of the square numbers is 30.
The squares can be from the following.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
1 + 4 + 25 = 30
The three square numbers are 1, 4, and 25.
What is an expression?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The total of the square numbers is 30.
The squares can be from the following.
1² = 1
2² = 4
3² = 9
4² = 16
5² = 25
We can take three squares.
1 + 4 + 25 = 30
This is a perfect case.
Thus,
The three square numbers are 1, 4, and 25.
Learn more about expressions here:
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A RECTANGLE HAS SIDES OF "20 - x" AND "x - 5", IF THE RECTANGLES AREA IS 36 SQ. INCHES. FIND THE LARGEST SIDE.
Answer:
12 in.
Step-by-step explanation:
1. area can be calculated as A=s1*s2, where s1 and s2 are the largest and shortest sides.
2. according to the formula before A=(20-x)(x-5). But according to the condition A=36, then (20-x)(x-5)=36;
3. if to solve this quadratic equation, then
-x²+25x-136=0;
[tex]\left[\begin{array}{ccc}x=17\\x=8\end{array}[/tex]
4. if x=3;12, then the sides are 12 and 3 and
5. finally, the largest side s1=12 inches.
Given: F(x)= 5 x - 6 and G(x)= x - 4
(FoG)^-1=
By definition of inverse function,
[tex]F\left(F^{-1}(x)\right) = x[/tex]
so that
[tex]5F^{-1}(x) - 6 = x[/tex]
[tex]5F^{-1}(x) = x + 6[/tex]
[tex]F^{-1}(x) = \dfrac{x + 6}5[/tex]
Similarly,
[tex]G\left(G^{-1}(x)\right) = G^{-1}(x) - 4 = x \implies G^{-1}(x) = x+4[/tex]
Then the inverse of the composition [tex]F\circ G[/tex] is such that
[tex]\left(F \circ G\right) \left((F \circ G)^{-1}(x)\right) = x[/tex]
By definition of composition,
[tex](F\circ G)(x) = F(G(x))[/tex]
Applying [tex](F\circ G)^{-1}[/tex] to this recovers x, and this involves first inverting F, then G:
[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right)[/tex]
So, we find
[tex](F\circ G)^{-1}(x) = G^{-1}\left(F^{-1}(x)\right) = G^{-1}\left(\dfrac{x+6}5\right) = \dfrac{x+6}5 + 4 = \boxed{\dfrac{x+26}5}[/tex]
Will give brainliest. The graph of y=|x| is shifted to the left by 6 units. What is the equation of the new graph?
Answer:
y = |x+6|
Step-by-step explanation:
To represent horizontal shift of a graph, we use the equation y = |x - h|, where h is the amount of units the graph is shifted.
If we are shifting 6 units to the left, h = -6. Therefore, the new equation will be: y = |x - (-6)| or y = |x + 6|
I’m downloading a 50 gigabyte game at a rate of 5.5 megabytes per second. How many hours would it take to finish installing.
Answer:
It will take 20.2 Hours to finish By the way? What game are you playing???Answer:
2.6 hours to download; installation time is unknown
Step-by-step explanation:
We assume there are 1024 MB in 1 GB, so the time required is ...
time = quantity/rate
time = 50(1024 MB)/(5.5 MB/s) ≈ 9309.1 s
There are 3600 seconds in 1 hour, so this is ...
9309.1 s/(3600 s/h) ≈2.5858... h ≈ 2.6 hours . . . to download
__
This is the time expected for the download. We have no information about the installation time, so we cannot tell you how long it would take to finish installing.
Maddie has $100. She worked for 5 days and she now has $200. What
integer represents the average increase in value PER DAY?
She gets 20 dollars every day.
6/7 = x/11 round to nearest tenth
Answer:
66/7 or 9.429 or 9 [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
6/7=x/11
Multiply by 11 to get x alone
Multiply (6/7) by 11 to get 9.42857143=x
The vertices of a triangle are A (-2, 3), B (5, 10), and C (12-4). Find the coordinates of the intersection of the medians.
The intesection of the 2 medians is at __
Answer:
a number
Step-by-step explanation:
not a letter
here!i need the answer!
[tex]\sf 13\times 13\times 1[/tex]
Answer:
[tex]169[/tex]
Step-by-step explanation:
[tex]13 \times 13 \times 1[/tex]
[tex] = 13 \times 13[/tex]
[tex] = 169[/tex]
The area of a triangle is 30sq. the perimeter of the triangle is 10in. write an inequality that represents the missing side of the triangle.
Is it supposed to be 30 divided by 10?
HELP
Solve 22 x 104 = ________. (1 point) A. 2,200,000 B. 220,000 C. 22,000 D. 2,200
[tex]22 \times {10}^{4} \\ = 22 \times 10 \times 10 \times 10 \times 10 \\ = 22 \times 10000 \\ = 220000[/tex]
Answer:B. 220,000
Hope it helps.
Do comment if you have any query.
Help me pleaseeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
a).
perimeter=326 m
length l=89 m
width w=?
Perimeter of a rectangle=2(l+b)
2(89+w)=326
89+w=326/2=163
w=163-89=74 m
b).
area=4648 cm^2
width=56 cm
length=4648/56=83 cm
(X-2)(x+1)
Expand and siplify
[tex]\\ \sf\longmapsto (x-2)(x+1)[/tex]
[tex]\\ \sf\longmapsto x(x+1)-2(x+1)[/tex]
[tex]\\ \sf\longmapsto x^2+x-2x-2[/tex]
[tex]\\ \sf\longmapsto x^2-x-2[/tex]
20 pts But help me with this problem.
Answer:
You put 10 pts by accident lol.
_ please answer this question .
Answer:
For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.
For the "Standard" column, it will be
7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get
y = -7/2x + 3.)
For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵
This is the point-slope formula.⤵⤵⤵
[tex]y - y _{1} = m(x - x _{1})[/tex]
For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.
So we have: y - (-4) = -7/2(x-2).
In other words, "Point Slope" would be
y + 4 = -7/2(x-2).
By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)
what is 6.38 to 1 decimal place
Answer: Is 6.4
Step-by-step explanation: I hope I helped in some way shape or form.
Which division is shown by the model?
1. 2 divided by 3/4 =2
2. 3 divided by 3/4= 4
3. 2 divided by 2/3= 3
4. 2 divided by 2/3=3
Answer:
C, you chose the correct answer! Good job. ¯\_(ツ)_/¯
Step-by-step explanation:
3÷[tex]\frac{2}{3}=3[/tex]
Mark brainliest if possible, it's always appreciated. ¯\_(ツ)_/¯
Hope this helps!
-❤AbqveNatural❤
Answer:
e
Step-by-step explanation:
e
What is the volume of this triangular prism?
Answer:
576 cm squared
Step-by-step explanation:
Help me please what's the scale factor of the dilation simplified!!!
Answer:
large/small = 4small/large = 1/4Step-by-step explanation:
The small square extends from x=1 to x=4, so its side length is 4-1 = 3.
The large square extends from x=4 to x=16, so its side length is 16-4 = 12.
The scale factor is ...
large/small = 12/3 = 4
or
small/large = 3/12 = 1/4
We don't know which way you're scaling, so choose the factor appropriate to your question.
1) 6 hats cost $67.50
What's the cost per hat?
The answer is $11.25 Just divide $67.50 by 6
What is the estimate for 636,291 plus 280,329
Answer:
this is simple addition: 916620
Step-by-step explanation:
Answer:
637000 + 280000
Step-by-Step-Explanation:
This is probably the best estimate
PLS HELP PLS AND TY
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