Answer:
9 is the answer.
Step-by-step explanation:
5(x − 4)2 = 4x + 14
=> 10x - 40 = 4x + 14
=> 6x = 54
=> x = 9
Therefore, 9 is the answer.
Hoped this helped.
The value of the x after solving the equation 5 (x - 4) 2 = 4x + 14 is x = 9.
What are Linear Equations?Linear equations are equation involving one or more expressions including variables and constants and the variables are having no exponents or the exponent of the variable is 1.
Given linear equation,
5 (x - 4) 2 = 4x + 14
5 × 2 (x - 4) = 4x + 14
10 (x - 4) = 4x + 14
By distributive property, p (q + r) = p q + p r
10x - (10 × 4) = 4x + 14
10x - 40 = 4x + 14
10x - 4x = 14 + 40
6x = 54
x = 54 / 6
x = 9
Hence the value of x is 9.
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7 1/4 -3 3/4= 4 1 /4 - 3/4
Answer:
7/2
Step-by-step explanation:
A farmer feeds her four horses 64 bales of hay each week. How many
bales of hay would the farmer need in order to feed 8 horses for a week
128 Bales of hay
Step-by-step explanation:
Take 64 and multiply it by 2 since 4 is half of 8 and 2 is double which make 64 so the answer is 128
X 2
___
128
PLEASE HELP
What is the volume of the cylinder?
A. 60.0 cm3
B. 120.0 cm3
O C. 188.4 cm
D. 300.0 cm3
E. 942.0 cm
Answer:
i think E.942 cm³ is answer
Volume = πr²h
so
3.14×5×5×12
= 942 cm²
Simplify the expression completely.
Answer: B
Step-by-step explanation: Best way to solve this is to first take the square root of 9 which is 3. Notice in the expression there is an x^4 but once the square root of 9x^4 is taken, you get 3x^2. There is a minus sign in the middle, so answer choice C and D are out. Now, there is answer choice A or B. Now we take the square root of 12 but 12 isn't a perfect square root. But, you can think of 2 numbers that when you multiply give you 12 and one of those numbers is a perfect square root. In this case, it would be 4 because 4 times 3 = 12. Square root of 4 is 2. Again, notice there is an x^2. Once the square root of 4 is taken, you are left with 2x and square root of 3. The square root of 3 isn't a perfect square root. But, you can write the expression in the following way:
2x[tex]\sqrt{3}[/tex] - 3[tex]x^{2}[/tex]
Hope this helps.
Write an equation in slop intercept form with a given slope. Slope: 5/6, y-intercept: 8
y=5/6x+8
...............
I’m having a lot of trouble with this question
Answer:
Function C has the greatest initial value
Function B has the greatest rate of change
Step-by-step explanation:
C is greatest for initial value because the line intercepts at 2 and i think B intercepts at -1 then as u can see A intercepts at 0 or origin
B is the greatest rate of change or slope because it goes up by 3 and then A goes up by 5/2 and C goes up by 1/3
rise over run
Hope i helped
Matthew invested $3,000 into two accounts. One account paid 3% interest and the other paid 8% interest. He earned 4% interest on the total investment. How much money did he put in each account?
Answer:
600 in the 8% interest and 2400 in the 3% interest.
Step-by-step explanation:
600 + 8% = 48
2400 + 3% = 72
72 + 48 =120
The x-value of the vertex of f(x) = x2 - 10x + 3 is
Answer:
x- coordinate = 5
Step-by-step explanation:
Given a parabola in standard form , f(x) = ax² + bx + c ( a ≠ 0 ) , then
The x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = x² - 10x + 3 ← is in standard form
with a = 1 , b = - 10 , then x- coordinate of vertex is
x = - [tex]\frac{-10}{2}[/tex] = 5
The area of a triangle is 83 square feet. The base is twice the height. Find the height.
Answer:
166
Step-by-step explanation:
83x2(twice the height)
13. Jay has 12 classic cars in his garage. He paid
$3,500 for each car 5 years ago. The cars are
currently worth $4,200 each. How much more
must the average value of the cars rise for the
combined value of these 12 cars to be exactly
$10,800 more than Jay paid for them?
A. $200.00
B. $700.00
C. $800.50
D. $ 841.67
E. $958.33
(May need worked out, please!?)
Answer:
I believe the answer would be A. $200.00
Step-by-step explanation:
This is because if jay has 12 cars that he paid 3,500$ each for, the total cost would have been $42,000.
And the current price is 4,200$ for each car.
If you add 200$ to each 4,200$ car, you get 4,400$
After, you take the amount for each car (4,400) and multiply it by 12 (the amount of cars purchased) and you get 52,800.
You then need to subtract the recent cost of 12 cars (52,800) by 42,000$ (the original cost for 12 cars) and you will get $10,800.
52,800-42,000=10,800
therefore, A.$200.00 would be the correct answer
I'm not sure if all calculations are correct, but I hope this helps! :)
The average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them. Therefore, the correct answer is A. $200.00.
To find out how much more the average value of the cars must rise for the combined value to be $10,800 more than what Jay paid for them, we need to calculate the difference between the current combined value and the total price Jay paid, and then divide it by the number of cars.
Given:
Number of cars (n) = 12
Price Jay paid for each car (P) = $3,500
Current worth of each car (W) = $4,200
Total price Jay paid (T) = n * P = 12 * $3,500 = $42,000
Current combined value of the cars (C) = n * W = 12 * $4,200 = $50,400
Difference in value = C - T = $50,400 - $42,000 = $8,400
Additional increase needed = $10,800 - $8,400 = $2,400
To find the average increase needed per car, we divide the additional increase by the number of cars:
Average increase per car = Additional increase / Number of cars = $2,400 / 12 = $200
Therefore, the average value of the cars must rise by $200 for the combined value of the 12 cars to be exactly $10,800 more than what Jay paid for them.
The correct answer is A. $200.00.
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Chiara's goal is to save $1 500. Each week she saves 15% of her weekly
income of $674.
Answer:
it will take about 15 weeks
Step-by-step explanation:
15% of 674 is about 101.
so, 1500 divided by 101 is about 15
hope this helps :)
A video store offers two yearly pricing plans: A. $10.00 charge plus $2.50 for each movie rented. B. $4.00 charge (total) for the first 4 movies rented plus $3.00 per movie. How many movies will a person need to rent in order to spend an equal amount of money using either plan?
Answer:
36
Step-by-step explanation:
The cost of renting n movies using Plan A is ...
c = 10 +2.50n
The cost of renting n movies using Plan B is ...
c = 4 +3(n -4) . . . . for n ≥ 4
The two costs are equal when ...
4 +3(n -4) = 10 +2.50n
0.50n = 18 . . . . . . . . . . add 8 -2.50n and simplify
n = 36 . . . . . . . . . . multiply by 2
A person would have to rent 36 movies to spend the same using either plan.
IS IT 60 SOMEONE PLEASE TELL ME THE RIGHT ONE !!!
Answer:
60 is the answer you're welcome
Find the x and y intercepts of y=-x-8
Answer:
anyone wants to have fun with indian girl ?
The two lines graphed below are not parallel. How many solutions are there to the system of equations?
○ A. Zero
○ B. Two
○ C. Infinity many
○ D. One
A cylinder and a cone both have radius of 6". The height of the cone is 12". The height of the cylinder is 6". Which has the greatest volume?
Answer:
cylinder has greatest volume
Step-by-step explanation:
solution
given,
radius of cylinder(r)=6cm
height of cylinder (h)=6cm
we know,
volume of cylinder=πr^2h
=22÷7×6×6×6
=4752÷7
=678.857cm^3
radius of cone(r)=6cm
height of cone(h)=12cm
we know,
volume of cone=1÷3πr^3
= 1÷3×22÷7×6×6×6
= 4752÷21
=226.2857cm^3
as a result,cylinder has greatest volume
Maria has a net income of $2,400 per month. She puts $400 into her
savings. What percent of her net income did she put into savings?
Round your answer to the nearest tenth.
Answer:
17%
Find the percentage that 400 is of 2400 (It's quite tricky to explain).
PLEASE HELP IMMEDIATELY
THANN YOU!
(Image attached above)
Answer: x = 2, explanation below
area of rectangles and squares is l * h or h * l (h is height and l is length)
length of left rectangle/square is
4*(6x+6) and for the right quadrilateral, it is 4x*9
4x*9 is 36x
and we use the distributive property for 4*(6x+6)
4*6x+4*6
4*6x = 24x
4*6 = 24
24x+24
They have equal areas, so we can make an equation making their areas equal.
36x = 24x+24
Subtract 24x from both sides
12x=24
divide 12 by both sides
x = 2
Step-by-step explanation:
please help ill mark brainliesta
Answer: Neither
Step-by-step explanation:
y = -5/4 x + 3/4
y = 5/4 x + 3/4
Because -5/4 is not a negative reciprocal of 5/4 and because they are not the same, they are neither in parallel or perpendicular
What is the y-intercept of a line that has a slope of -3 and passes through point (-5, 4)?
О-17
О-11
O-7
O-19
Answer:
0, -11
Step-by-step explanation:
y-4=-3(x-(-5))
y-4=-3x-15
y=-3x-15+4
y=-3x-11 the ordered to the origin is -11
the y-intercept is at the point (0, -11)
Hope this helps
Bill and his 3 friends read 55 books each for the year. Each book had 320 pages, How many pages did they all read in total that year?
Answer:
they all read 52.800 pages in that year
Step-by-step explanation:
320 X 55 = 17.600 pages/person
17.600 X 3 = 52.800 pages
Help me pls im being timed!
Answer:
C
Step-by-step explanation:
A certain function multiplies Each input number by three to produce an output number given that X represents the input numbers and Y represents the output numbers which graph represents the function.
Please answer
No links
Picture is included
Answer:
The answer is A. Hope this helped!!!!!!
Answer:
answer C because is x is input and is multiplied by 3 so the function would have been y=3x so that is C
The Rahul ages of and pushti are in the ratio 3 ratio 5 four years later the sum of their ages will be 48 what are their present ages
Answer:
Rahul is 15, Pushti is 25Step-by-step explanation:
Rahul age = r, Pushti age = p
Equations according to given info:
r / p = 3 / 5 ⇒ r = 3p/5r + 4 + p + 4 = 48 ⇒ r + p = 40 ⇒ r = 40 - pCompare the two equations and solve for p:
3p/5 = 40 - p3p = 200 - 5p3p + 5p = 2008p = 200p = 200/8p = 25Find the value of r:
r = 40 - 25 r = 151+ root2x + 1 = root2x + 8
Answer:
14x 2 +9
Step-by-step explanation:
Helppp meee please !!!
Answer:
why has the speaker come to the earth
Answer:
the two numbers are 3x and -x.
Step-by-step explanation:
product = -3x²
sum = 2x
hope this helps you.
what is 4/3 x 19/6-45 x 7
Answer:
-310.777777778
Step-by-step explanation:
Answer:
The answer is -310.777777778
Step-by-step explanation:
hope its help:)
Three friends live in three different states. Monica lives in Rhode Island, Anthony lives in Ohio, and Thomas lives in Colorado.
a.) Determine the sales tax rate in each state.
Sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.
Colorado: 3.50 = 1003.60 = X3.60 x 100 / 3.50 = X360 / 3.5 = X102.85 = X2.85% = Sales taxOhio: Y = 1.055X10 x 1.055 = Y10.55 = Y10 = 10010.55 = X10.55 x 100 / 10 = X1055 / 10 = X105.5 = X5.5% = Sales taxRhode Island: 10 = 10010.70 = X10.70 x 100 / 10 = X1070 / 100 = X107 = X7% = Sales taxTherefore, sales tax in Colorado is 2.85%, in Ohio is 5.50%, and in Rhode Island is 7%.
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-2(x+1)= -2+5
How you solve that?
[tex]-2(x+1) = -2+5\\\\\implies -2x -2 = 3\\\\\implies -2x = 3 +2 =5\\\\\implies x = - \dfrac 52[/tex]
Add the numbers, then add 2 to both sides of the equation. The solution would be x = - 5/2
EASY MATH QUESTION pls help asap
A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D.10 adults
Answer:
b 16 adult is - 40 people end of day