Answer:
x = 2
Step-by-step explanation:
10x - 7 = 7x - 1
10x = 7x + 6
3x = 6
x = 2
Answer:
x = 2
Step-by-step explanation:
Add seven to both sides to move it over to the right, then subtract 7x from both sides to move that over to the left.
You should be left with 10x - 7x = 7 - 1.
10x - 7x = 3x
7 - 1 = 6
3x = 6
Divide both sides by three to get your answer of x = 2.
what is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?
The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased. The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.
The image of the dilated point will be:-
x : - 8 ⇒ 8 / 4 = 2
y : - 12 ⇒ 12 / 4 = 3
Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
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The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.
Answer:
Option: D is the correct answer.
D) 20.455 <= X <= 20.545
Step-by-step explanation:
We are given The ideal length of a particular metal rod is 20.5 cm.
It is given that:
The measured length may vary from the ideal length by at most 0.045 cm.
By atmost we mean either less than or equal to that amount but not more than that.
It means that:
|X-20.5|≤ 0.045
⇒ -0.045 ≤ X-20.5 ≤ 0.045
⇒ -0.045+20.5 ≤ X ≤ 20+0.045
⇒ 20.455 ≤ X ≤ 20.545.
Hope this helped! <3
help i do nut understand
Answer:
500$ is the answer....
Answer:
$60 and $560
Step-by-step explanation:
Prt= Interest
(500)(0.04)(3)= $60
A = P(1 + rt)
A = 500 (1 + 0.04(3))
A= $560
pls respond ... 30 points :)
Answer:
B, 2x^2 - 4x + 8
Step-by-step explanation:
Given an area of 4x^2 - 8x + 16, and a length of 2, we can use the area formula of length, and width to find the area:
Length × Width = Area
Given these values, rearrange the formula to find the width:
Width = Area / Length
Then just substitute the values, and
simplify the expression:
Width = (4x^2 - 8x + 16) / 2
Width = 2x^2 - 4x + 8
Answer:
I think its B but dont keep my word as facts thats just what i think hope this helps even a little
Step-by-step explanation:
15. The length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is
about 100 times longer than Yvette's cell phone screen. What is the approximate
length of the movie theater screen?
Answer:
it would 35 feet long 100x0.35
The length of the movie theater will be 35 feet.
What is algebraic expression?In mathematics, an algebraic expression is an expression built up from constant algebraic numbers, variables, and the algebraic operations. For example, we can write the expressions as -
2x + 3y + 5
3y + 5
5 + 6
Given is that the length of Yvette's cell phone screen is 0.35 feet. A movie theater screen is about 100 times longer than Yvette's cell phone screen.
Scale factor is defined as the ratio of final dimensions to the initial dimensions of the given image.
Mathematically, we can write -
{K} = final dimensions/initial dimensions
In the question given, the scale factor is -{K} = 100.
Assume the length of the movie theater to be {x}. So, we can write -
{x} = 0.35 x 100
{x} = 35/100 x 100
{x} = 35 feet
Therefore, the length of the movie theater will be 35 feet.
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WHAT IS THE LAST SENTANCE FOR DESPASITO IN ENGLISH!!!!!!!!!!!!!!11
What's 30% of 40 and how much are you saving
need help asapp I'll brainlist u once u finish !!
Answer:
-3*-6*2^2+1
18*4+1
72+1
73
Step-by-step explanation:
2(5*-6*2-3)
2(-30*-1).
2*30
60
4*-6^2*2+2/10
4*36*2+2/10
4*72+2/10
288+2/10
290/10
29
9(-6-2^2)/6
9(-6-4)/6
9*10/6
90/6
15
A stack of 3 books weighs 7.8 kilogramh book weighs the s. If eacsame amount, how much does each book weigh?
Answer:
they each way 2.6 kilograms
Pictures, x
5
6 7
8
Profit, y
20
24
28
32
whats the fraction after being simplifyed?
The formula to convert °F to °C is C = C equals StartFraction 5 Over 9 EndFraction left-parenthesis F minus 32 right-parenthesis.(F – 32).
Convert 50°C to °F.
Answer: 122°F
Step-by-step explanation:substitute 50°C anywhere in the formula that has the C
(−45)(158)(73)(−1)
QUICK
Answer:
If you are multiplying (-45)(158)(73)(-1) your answer is 519,030.
Step-by-step explanation:
704% into a fraction
Answer:
7 4/100
Step-by-step explanation:
[tex] \green {\boxed{Answer}}[/tex]
[tex] = 704\%[/tex]
[tex] = \frac{704}{100} [/tex]
[tex] = \frac{704 \div 4}{100 \div 4} [/tex]
[tex] = \frac{176}{25} [/tex]
[tex] = 7 \frac{1}{25} [/tex]
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(03.02 LC)
ABCD is a rectangle. What is the value of x?
A
56 m
B
65 m
xm
D
C
Determine which product has the lower unit price one gallon of orange juice for $3.49 or B a half gallon of orange juice for $1.70
Tylond puts $5,000 into a savings account that earns 4%
simple interest. How much interest does he earn after 3
years?
Answer:
125,000
Step-by-step explanation:
_____ the
clauses in the original
At ice skating lessons Sarah attempts to do a 360 degree spin, but only manages a quarter-turn on her first attempt
How many degrees short of her goal was Sarah's first attempt?
degrees
Answer:
Im sorry if this is wrong.
a quarter is 1/4. 1/4 is .25 so 360-25=335. so she only did 335 degree spin and was 25 degrees short
Step-by-step explanation:
The degree of spin Sarah wants to = 360 degrees
Hence, 1 turn = 360 degrees
Sarah does a quarter turn
A quarter is equivalent to : [tex]\frac{1}{4}[/tex]
So, [tex]\frac{1}{4}[/tex] turn = [tex]\frac{1}{4}[/tex] x 360 degrees
= 90 degrees.
The number of degrees short of her goal that Sarah was of her first attempt is calculated as :
360 degrees - 90 degrees
= 270 degrees.
Therefore, Sarah was 270 degrees short of her goal at her first attempt.
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evaluate the expression when a=32 and b=7 a/4 +b
Please help!! not sure if this is right :(
Answer:
Your answer is correct.
Step-by-step explanation:
The price of a car decreases by 35% to £13000.
What was the car worth before the decrease?
Help
Answer:
€20,000
Step-by-step explanation:
% decrease = (original price of the car - new price) ÷ original price × 100
Let "x' represents the original price before the decrease.
New price = €13,000
% decrease = 35%
Plug in the values into the equation
[tex] 35 = \frac{x - 13,000}{x}*100 [/tex]
[tex] 35 = \frac{100x - 1,300,000}{x} [/tex]
Multiply both sides by x
[tex] 35*x = \frac{100x - 1,300,000}{x}*x [/tex]
[tex] 35x = 100x - 1,300,000 [/tex]
Subtract 100x from both sides
[tex] 35x - 100x = 100x - 1,300,000 - 100x [/tex]
[tex] -65x = -1,300,000 [/tex]
Divide both sides by -65
[tex] \frac{-65x}{65} = \frac{-1,300,000}{65} [/tex]
[tex] x = 20,000 [/tex]
The car was worth €20,000 before the decrease.
The math book was originally $10. the bookstore placed it on sale for $5. find the percent of decrease
Answer: 50%
Step-by-step explanation: math
Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. Jennifer is currently standing on a cruise ship at 29 feet above sea level. Jim is swimming at 8 feet below sea level. How far apart are Jim and Jennifer?How far apart are Jim and Jennifer?
Answer:
37ftStep-by-step explanation:
step one;
In this problem, we are expected to solve for the distance between Jenifer and Jim
given that
Jennifer is 29ft above and
Jim is 8ft bellow
step two:
the distance between them can be calculated as
distance= 29+8
distance=37ft
1
A recipe for 6 servings of pudding calls for 2/3 cups of cream. How much cream is needed for 18 servings of
pudding?
Answer:
2 cups
Step-by-step explanation:
18/6 = 3
3 x 2/3 = 6/3
6/3 = 2
What is 54 ÷ 2/3 ?
Answer: 79 1/2
Convert any mixed numbers to fractions.
Then your initial equation becomes:
53/1 ÷ 2/3
Applying the fractions formula for division,
multiply 53/1 by 2/3
= 159/2
Simplifying 159/2, the answer is
79 1/2
the sum of number and 12 is 30. determine the number
Answer:
42
Step-by-step explanation:
if I'm understand the question you add 12 and 30
A camp counselor has a list of 134 campers who signed up for art class. The counselor can place 8 students in each class. How many classes does the counselor need to have?
Answer:
17
Step-by-step explanation:
the answer would have been 16.75 but you cant divide a class, so you round up.
how many solutions does this have? PLS HELP ILL MARK YOU BRAINEST
Answer:
5
Step-by-step explanation:
What is the quotient of 2/3 and 5/6;
A.1 4/5
B.4/5
C.5/9
D.1 1/4
y = bx(x - a)(x-a)(x + b)(x - b)
In the equation above, a and b are positive
constants and a ≠ b. How many distinct x-intercepts
does the graph of the equation in the xy-plane have?
The x-intercepts of an equation are simply the zeros of the equation
The equation [tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex] has 4 distinct x-intercepts
The equation is given as:
[tex]\mathbf{y = bx(x - a)(x -a)(x + b)(x - b)}[/tex]
Set the equation to 0; i.e. calculate the zeros
[tex]\mathbf{bx(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Divide both sides by constant b
[tex]\mathbf{x(x - a)(x -a)(x + b)(x - b) = 0}[/tex]
Split the above equation, as follows
[tex]\mathbf{x= 0\ or\ x - a = 0\ or\ x -a = 0\ or\ x + b = 0\ or\ x - b = 0}[/tex]
Solve for x in each of the equation
[tex]\mathbf{x= 0\ or\ x = a\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
Remove repeated solutions
[tex]\mathbf{x= 0\ or\ x = a\ or\ x= -b\ or\ x = b}[/tex]
The count of solutions above is 4
Hence, the equation has 4 distinct x-intercepts
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