Answer:
x^2 -144
Step-by-step explanation:
b) Simplify the expression (V7 + 3) square 2
Answer:
[tex]49v^{2} +42v+9[/tex]
Step-by-step explanation:
First, let me say, I'm not sure what exactly the equation is because it's worded weirdly, but I'm assuming it's [tex](7v+3)^{2}[/tex].
(7v+3)(7v+3) [[tex]7v+3^{2}[/tex] is the same as (7v+3)(7v+3).]
[tex]49v^{2} +42v+9[/tex] [When you multiply them, this is the product.]
This is as far as you can simplify without knowing the value of v as far as I know.
if the cost of carpeting a floor is $2.50 per foot how much will it cost to carpet a rectangular floor that is 10 feet by 12 feet
Answer:
300 dollars
Step-by-step explanation:
Multiply 10 feet by 12 feet to get the total number of feet needed
10x12=120 feet
120 times $2.5= $300
The cost to carpet a rectangular floor is $300.
Given that,
The cost of carpeting a floor is $2.50 per foot A rectangular floor that is 10 feet by 12 feetBased on the above information, the calculation is as follows:
[tex]= 10 \times 12 \times \$2.50[/tex]
= $300
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Susan had $30 before she bought 7 mugs. Afterwards, she only had $5.50 left. The scenario can be expressed by: 30 - 7k = 5.50 where k represents the price for 1 mug. What is the value of k? a) k = 24.50 b) k = -3.50 c) k = 5 d) k= 3.50
Answer:
Answer choice D. k is equal to 3.5
Step-by-step explanation:
In this equation, we must get the k all by its self. To do that, let's eliminate the 30. To do this, we must subtract 30 from both sides.
30 - 7k = 5.5
-30 -30
Then we get...
-7k = -24.5
Now we must get rid of the -7 that is multiplied by k. to do this, let's divide both sides by -7.
-7k = -24.5
-7 -7
And we get...
k = 3.5
And therefore, k is equal to 3.5. I hope this helps, and I hope it's not wrong, but I do not think it is.
What is the equation 8x-7=4x+21
Answer:
x=7
Step-by-step explanation:
8x−7=4x+21
Step 1: Subtract 4x from both sides.
8x−7−4x=4x+21−4x
4x−7=21
Step 2: Add 7 to both sides.
4x−7+7=21+7
4x=28
Step 3: Divide both sides by 4.
4x
4
=
28
4
Write an expression that is equivalent to 5^-3
Answer:
1/125
Step-by-step explanation:
=1/5*5*5
=1/5^3
=1/125
Using exponent rules, when a number is raised to a negative exponent, change the exponent to positive and make a fraction with 1 as the numerator and the number as the denominator:
5^-3 = 1/(5^3)
A circuit board manufacturer rejects a 100-ohm resistor if its measured resistance is 0.15 ohm or more away from 100 ohms. Resistors A and B are rejected. Resistor A's resistance differs from 100 ohms by +0.15 ohm. Resistor B's resistance differs from 100 ohms by -0.78 ohm. Which resistor has a resistance closer to 100 ohms?
Answer:
Resistor A has a resistance closer to 100
Step-by-step explanation:
Here, we want to know which of the two resistors have a resistance closer to 100 ohms
To know the resistance closer to 100, we need to know the absolute value of the resistances
-0.78 has a resistance of 100 - 0.78 = 99.22
The 15 ohms resistor has resistance of 100 + 0.15 = 100.15
Since 100.15 is closer to 100 than 99.22, due to the absolute value of both, then the +0.15 ohm resistor is closer to 100
A hiker started the day at an elevation of 800 feet. He climbed 200 feet in elevation to his first rest stop, hiked down 400 feet in elevation to his second rest stop, and climbed 500 feet in elevation to his third rest stop. What is the average elevation of his three rest stops
Answer:
The average elevation of his three rest stop is 900 ft
Step-by-step explanation:
The elevation at which the hiker started = 800 feet
The extra height to which he climbed on his first rest stop = 200 feet
The height down which he climbed to his second rest stop = 400 feet
The height to which he then climbed to his third rest stop = 500 ft
Given that the hiker started at 800 ft, we have;
His height at his first rest stop = 800 + 200 = 1,000 ft
His height at his second rest stop = 1000 - 400 = 600 ft
His height at his third rest stop = 600 + 500 = 1,100 ft
Therefore, the average elevation, hₐ, of his three rest stop is given as follows;
hₐ = (The sum of the three elevation)/(The number of elevation)
hₐ = (1,000 ft + 600 ft + 1,100 ft)/(3) = (2700 ft)/3 = 900 ft
The average elevation of his three rest stop = 900 ft.
rewrite the quadratic function f(x) = (2x -3)(x+4) in standard form
Answer:
f(x) = 2x^2+5x-12
Step-by-step explanation:
Which of the following numbers would be an outlier if added to the data set below?
234, 187, 201, 199, 217, 200, 201, 193
A: 111
B: 201
C: 235
D: 204
Answer:
111
Step-by-step explanation:
Answer:
111
Step-by-step explanation:
alph and his brother are at a carnival. They separate from each other at the Ferris wheel at 1:00 PM, and they agree that they will each meet back at the Ferris wheel from time to time to see whether the other is ready to leave. Ralph checks the Ferris wheel every 15 minutes. Joe checks in every 24 minutes. At what time will they meet at the Ferris wheel again?
Answer: 3pm
Step-by-step explanation:
It will take them 120 minutes to meet back up together
24x5=120
15x8=120
five million four thousand three hundred in standard for
Answer:
500,400,300
Step-by-step explanation:
is this correct?
Answer:
Your answer is 5004300
Step-by-step explanation:
Hope this helps u
Crown me as brainliest:)
At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. After the storm, the snow started melting at a rate of 1.5 inches per hour and it is known that 4 hours after the storm ended, the depth of snow was down to 12 inches. Write an equation for S,S, in terms of t,t, representing the depth of snow on Amelia's lawn, in inches, tt hours after the snow stopped falling.
Answer:
s= -1.5t + 18
Step-by-step explanation:
The Equation to represent the depth of snow is s= -1.5t + 18.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
We learn from the question that the snow's depth is s and that it takes hours to melt the snow.
The amount of snow is 12 inches deep after 4 hours of melting.
Now, keep in mind that the melting rate is 1.5 inches per hour.
and, 1.5 x 4 = 6 inches of snow will have melted in the four hours.
Thus, the initial snow depth will be 6 + 12 = 18 inches.
Hence, the Equation to represent the depth of snow is s= -1.5t + 18.
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0.0000123 written in standard form is__
Answer:
1.23 × [tex]10^{-5}[/tex]
Step-by-step explanation:
A number expressed in standard form has the form
a × [tex]10^{n}[/tex]
where 1 ≤ a < 10 and n is an integer
Express the number given as a number between 1 and 10, that ia
1.23 × [tex]10^{n}[/tex]
We require to obtain the original number by moving the decimal point by moving the decimal point back 5 places to the left.
Move to the right then n > 0
Move to the left then n < 0
Thus
0.0000123 = 1.23 × [tex]10^{-5}[/tex]
PLZ ANSWER THIS QUICK! THANKS!
Answer:
a) 300m
b) 15 miles
Step-by-step explanation:
a) 1 : 30 000
= 1x 30 000
= 30 000cm
= 30 000cm/ 100 Representing in metres
= 300m
b) 1 : 6
= 1x 2.5 : 6x 2.5
= 2.5 : 15
= 15 miles
Write the inverse of f(x)=(2x-4)/x PLS SHOW STEPS
Answer:
f^-1(x) = -4 / x - 2
Step-by-step explanation:
First swap the x and y values. This is done by setting f(x) to x, and x to y.
f(x) = (2x - 4) / x → x = (2y - 4) / y
*Then solve for y like you would for a normal equation*
x = (2y - 4) / y
×y ×y
(multiplication property of equality)
*This will isolate the extra y term*
__________________________
xy = 2y - 4
-2y -2y
(subtraction property of equality)
*This is done to group the like terms together, because they both share a y term now*
_____________________________
xy - 2y = -4
| |
v v
( x - 2 )
(GCF)
*In this case the GCF is y because it is the factor held in common, reverse distributive property*
________________________________
y(x-2) = -4
÷(x-2) ÷(x-2)
(Division property of equality)
*This is the last and final step to isolate the y term completely, so we can find the inverse*
y = -4/x-2
*This is the inverse*
Now just set it in function form as an inverse:
y = -4/x-2 → f^-1(x) = -4/x-2
The Blue Plane travels at a constant speed of 120 miles per hour. If it travels for 2 1/2 hours to get to Pennsylvania how far did it go?
Answer:
The answer is 300 miles
Step-by-step explanation:
120x2=240
120x .5= 60
240+60=300
Which number is greater explain 1/5 or 0.50 plss help
Answer:
1/2 or 0.5 is greater than 1/5
Simplify the expression using the variable replacements.
2a² – 4bifa= 2andb = 1
Answer:
= 4
Step-by-step explanation:
2a^2-4b
=2(2)^2-4(1)
=2×4-4
= 8-4
=4
Three girls cut out decimal models of hundredths. Amber doesn't shade any of her models. Grace qualifies three fifths of a model. Marsha shades one model and seven-tenths of another model. What decimal represents the number of shadows of each girl? Click on the icon to view the decimal models of hundredths. The decimal represents the number of shades of amber. The decimal represents the quantity that represents the quantity that Marsha qualifies. Tones of grace. The decimal (write whole numbers or decimals).
Answer:
[tex]Amber = 0[/tex]
[tex]Grace = 0.60[/tex]
[tex]Marsha =1.70[/tex]
Step-by-step explanation:
Given
Decimal Grid = Hundredths
[tex]Amber = None[/tex]
[tex]Grace = \frac{3}{5}th[/tex]
[tex]Marsha = 1 + \frac{7}{10}th[/tex]
To solve for each:
We have:
For Amber:
[tex]Amber = 0 * 100[/tex]
[tex]Amber = 0[/tex]
For Grace:
[tex]Grace = \frac{3}{5}th[/tex]
[tex]Grace = \frac{3}{5} * 100[/tex]
[tex]Grace = \frac{300}{5}[/tex]
[tex]Grace = 60[/tex]
This means that Grace shaded 60 of the hundredth models.
Decimal shaded is:
[tex]Grace = 60 * \frac{1}{100}[/tex]
[tex]Grace =\frac{60}{100}[/tex]
[tex]Grace = 0.60[/tex]
For Marsha:
[tex]Marsha = 1 + \frac{7}{10}th[/tex]
[tex]Marsha = \frac{10 + 7}{10}th[/tex]
[tex]Marsha = \frac{17}{10}th[/tex]
[tex]Marsha = 1.7th[/tex]
Multiply this by 100, to get the number of shaded
[tex]Marsha = 1.7 * 100[/tex]
[tex]Marsha = 170[/tex]
This means that Marsha shaded 170 of the hundredth models.
Decimal shaded is:
[tex]Marsha = \frac{170}{100}[/tex]
[tex]Marsha =1.70[/tex]
HELP ILL AWARD BRAINLIEST
Answer:
Step-by-step explanation:
1 hour you will make $10
2 hours you will make $20
10 hours you will make $100
The constant of proportionality is 10
and its x=10y
I don't understand what they mean when its says "x hours"
Nathan bought 3 1/4 pounds of apples for $0.75 per pound. How much did Nathan pay for the apples (rounded to the nearest hundredth)?
Answer: 2.5
Step-by-step explanation:
3 1.4 lbs also equals 3.25
3 x 0.75 = 2.25
2.25 + 25 = 2.5
What is the answer to number 3?
Answer:
A
Step-by-step explanation:
Determine whether y varies directly with x. If so, find the constant of variation k write the equation
Answer:
It varies directly
k = [tex]\frac{5}{3}[/tex]
Step-by-step explanation:
Table:
x y
7 11
8 13
9 15
10 17
Problem:, determine if y varies directly as x
Solution:
The equation to determine if they vary directly is;
y ∝ x
y = kx
From the table, y varies directly as x. As y increases, x also increases.
To find k, use any convenient value of y and x ;
y = 15 and x = 9;
15 = k x 9
k = [tex]\frac{15}{9}[/tex] = [tex]\frac{5}{3}[/tex]
Rewrite the expression using the distributive property: 3(2r + 2)
Answer:
3(2r+2) = 6r + 6
Step-by-step explanation:
Three times to is six just add the ''r'' to the six and you have six ''r'' then youdo three times two which is six
13t+6=12t +21
What value of/ makes the equation true?
Answer:
t=15
Step-by-step explanation:
PLEASE HELP ME WITH THIS
Answer:
Hello!!! Princess Sakura here ^^
Step-by-step explanation: (sorry you'll have to graph them on your own)
Number 2:
So if x was this y would be...
x=-3 y=4 (-3,4)
x=0 y=2 (0,2)
x=3 y=0 (3,0)
The solution would be (3,0).
Number 3:
So before we begin we'd have to solve for y by subtracting 1 from both sides to get... [tex]y=3x-1[/tex]
Now we should choose -1, 0, and 1 so now...
x=-1 y=-4 (-3,4)
x=0 y=-1 (0,2)
x=1 y=2 (3,0)
The solution would be (1,2).
Which of the following website features is the least useful when assessing the reliability of a website? (5 points)
Select one:
a. The author's background
b. The date the site was updated
c. The website's address
d. The website's title
Answer:
D: Website titles
Step-by-step explanation:
Marissa sold 32 boxes of cookies for $4.35 each. She spent approximately 24.5% of the money she earned on new shoes and used the rest to buy more boxes of cookies. How much did Marissa's new shoes cost? (plz help)
PLSSS HURRY!!! Thank youu
Answer:
c- 90
a and b- 45 each
Step-by-step explanation:
since the sum of all angles on the inside of a triangle is 180, and c is 90 degrees, you can subtradt 90 from 180 and divide that by 2, getting angles 1 and b.
Is 50/33 and 117% equivalent?
Answer:
no
Step-by-step explanation:because 117% would be 1.17 and 50/33 is 1.5151...
The fraction can be converted into percentage by multiplying it by 100. The given fraction is not equivalent to 117%.
What is percentage?A percentage is a value that indicates hundredth part of any quantity.
To convert percentage into a fraction it is divided by 100.
The given fraction is 50 / 33
In order to check whether the given fraction is equal to 117%, convert the given fraction to percentage by multiplying it by 100 as follows,
(50 / 33) × 100%
= 50 × 3.33%
= 166.5%
Thus, the given fraction is not equal to 117%.
Hence, 50 / 33 and 117% are not equivalent.
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