Answer:
The value of x = 513
Step-by-step explanation:
Let x, y, and z be the three numbers
Given
[tex]x+y+z=855[/tex]
Assuming x be the number which is 50% more than the sum of the other two numbers.
i.e.
(150)% of (y+z) = 1.5(y+z)
y + z = x/1.5
As we know that
[tex]x + y + z = 855[/tex]
substituting y + z = x / 1.5 in the equation
[tex]x+\frac{x}{1.5}=855[/tex]
Multiply both sides by 1.5
[tex]x\cdot \:1.5+\frac{x}{1.5}\cdot \:1.5=855\cdot \:1.5[/tex]
[tex]1.5x+x=1282.5[/tex]
[tex]2.5x=1282.5[/tex]
Divide both sides by 2.5
[tex]\frac{2.5x}{2.5}=\frac{1282.5}{2.5}[/tex]
[tex]x = 513[/tex]
Therefore, the value of x = 513
A woman bought a stove for $2800. After using it for 2 years she decided to trade in the stove. The company estimated a depreciation of 15% for the first year of its use and a further 15% on its reduced value, for the second year.
i.) Calculate the value of the stove after two years.
ii.) Express the value of the stove after two years as a percentage of the original value. (5mks)
Answer:
$1719.55, 61.4%
Step-by-step explanation:
Original price of stove: $2,800
Value of stove after 1 year: (1 - 0.15)($2,800), or 0.85($2,800) = $2,380
Value of stove after 2 years: 0.85($2,380) = $1719.55
Find the ratio of this last result to the original price and convert that to a percentage:
$1,719.55
-------------- = 0.614, or approximately 61.4%
$2,800
Consider the function f(x) = x^3 - 7x^2 - 2x + 14
What is the total number of zeros of f(x)? Explain how you got your answer.
Find the zeros of f(x). Explain your procedure as you solved it.
Answer:
There are 3 zeros, which are:
[tex]x=7,\:x=-\sqrt{2},\:x=\sqrt{2}[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)\:=\:x^3\:-\:7x^2\:-\:2x\:+\:14[/tex]
To get the zeros of [tex]f(x)[/tex], set [tex]y[/tex] or [tex]f(x) =0[/tex]
so
[tex]0=x^3-7x^2-2x+14[/tex]
as
[tex]x^3\:-\:7x^2\:-\:2x\:+\:14=\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)[/tex]
so
[tex]\left(x-7\right)\left(x+\sqrt{2}\right)\left(x-\sqrt{2}\right)=0[/tex]
Using the zero factor principle:
[tex]\mathrm{ \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]
so
[tex]x-7=0\quad \mathrm{or}\quad \:x+\sqrt{2}=0\quad \mathrm{or}\quad \:x-\sqrt{2}=0[/tex]
solving
[tex]x-7=0[/tex]
[tex]x=7[/tex][tex]x+\sqrt{2}=0[/tex]
[tex]x=-\sqrt{2}[/tex][tex]x-\sqrt{2}=0[/tex]
[tex]x=\sqrt{2}[/tex]Therefore, there are 3 zeros, which are:
[tex]x=7,\:x=-\sqrt{2},\:x=\sqrt{2}[/tex]
Solve the equation by factoring.
[tex]2x^{2} +20x=7x+7[/tex]
(PLEASE SHOW YOUR PROCESS)
Which equation represents a line which is parallel to the line 2x + y = -1?
Answer:
y=2x-1
Step-by-step explanation:
i passed this
Calculate the result
63,756 multiplied by 60 divided by 70 multiplied by 5,280
please help
Answer:
288541440 is what i got
somebody please belp
Answer:
- 22.76
Step-by-step explanation:
if b = - 0.16 the you subtract that with - 22.6
- 0.16 - 22.6 = - 22.76
Which triangles are congruent by AAS? Fill in the blank beside the triangles with yes or no.
Answer:
IM BOUT TO SOLVE
Step-by-step explanation:
Answer:
Step-by-step explanation:
what is 4+4-3+4-6+7=
Answer:
10
Step-by-step explanation:
itsss 10 :))))))))))>))))))))
Solve the equation. 5/6x - 4 = -2
A. 2 2/5
B. 1 2/3
C. -2 2/5
D. 3 2/5
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{5}{6}[/tex] x - 4 = - 2 ( add 4 to both sides )
[tex]\frac{5}{6}[/tex] x = 2 ( multiply both sides by 6 to clear the fraction )
5x = 12 ( divide both sides by 5 )
x = [tex]\frac{12}{5}[/tex] = 2 [tex]\frac{2}{5}[/tex] → A
HELP ASAP! Given f(x) = ax^2 + c, list each characteristic of the function.
What does a do?
What shifts the graph from going up to going down?
What does x^2 do?
What does c do?
What is the vertex?
decrease 60 by the ratio 2:3
Step-by-step explanation:
Ejjeuduruwjd8i2iwiksjsud
A group of 4 friends go out for dinner and the total cost of the dinner is $200. They use a $40 coupon before splitting the bill evenly. How much would each person pay after they use the coupon? *
I AM DYING 2 KNOWWWW
Also this is a integer question
Answer:
$40.00
Step-by-step explanation:
the total is 200 so then u subtract the $40 from the coupon which will leave u with 160. Since there is 4 people 160/4 equals 40. Therefore your answer is each person pays $40.00
Answer:
40
Step-by-step explanation:
First subtract the 40 coupon from the equation since it says they use it before paying. Since they all pay the same amount, use x in this case, simply divide 160 by 4, which is 40 for each person. And to double check the answer, multiply 40 by 4, to make sure each person pays the same, then add the 40 dollar coupon, and the answer should be $200. Or, you can think of it as 40x+40(Coupon)=200. Or 200-40=40x.
Which graph represents a proportional relationship?
I need the answer please
Answer:
The first one
Step-by-step explanation:
On a graph, if the line starts at the origin, where the 0 is, which is the center in this case, it is proportional
On a table, if the numbers all the have the same rate of change, which is y/x, then it is proportional
saftey first owo idc if i get baned agian i have an extar account owo
Answer: uwu hai owo how are you :3
Step-by-step explanation:
Answer:
oo jeez thats gross
Step-by-step explanation:
dont share photo's kids
It rained all day on Father's Day and the temperature dropped ten and seven tenth degrees. The next day the rain stopped and the temperature rose twelve and six tenths degrees. If the temperature at the beginning of Father's Day was sixty five and eight tenths degrees, what was the temperature at the end of the day after Father's Day?
Write numerical answer only (no sentences, no units) Pls help I'll give brainliest
Answer:
[tex]67\frac{7}{10}[/tex] or [tex]67.7[/tex]°
Step-by-step explanation:
First let's interpret the wording. It mentions that on the first day the temperature dropped [tex]10\frac{7}{10}[/tex]. Then on the second day the temperature increased by [tex]12\frac{6}{10}[/tex]. Then they tell us that if the beginning temperature was [tex]65\frac{8}{10}[/tex] what would the temperature be at the end of the of the second day. So since the temperature decreased the first day we should subtract [tex]10\frac{7}{10}[/tex] from [tex]65\frac{8}{10}[/tex]. That will give us [tex]55\frac{1}{10}[/tex]. Now for the second day the temperature increased so we will add [tex]12\frac{6}{10}[/tex] to [tex]55\frac{1}{10}[/tex] and that will give us [tex]67\frac{7}{10}[/tex] and if you want it in a decimal it will be [tex]67.7[/tex].
In triangle FGH, is an angle bisector of and perpendicular to . In triangle F G H, angle F G H is cut by perpendicular bisector G J. The length of side F G is 3 x minus 8, the length of side G H is 16, the length of line segment F J is x. What is the length of ? 4 8 16 24
Answer:
its 16
i had this question on edge
Answer:
c
Step-by-step explanation:
Larry has $150 in his bank account. He deposits $27 and then writes a check for $96
and a check for $31. How much money is now in his account?
Answer:
$-4
Step-by-step explanation:
Your welcome
Answer:
$50
Step-by-step explanation:
So the best thing is to com eup with an equation. I came up with:
150 + 27 - 96 - 31
Deposit means to put money into, so that's why we're adding 27.
And then the checks mean that they are going to be taken out of, so that's why we're subtracting 96 and 31. All that's left to do now is solve.
150 + 27 = 177 - 96 = 81 - 31 = 50
The value of x is what the answer
Answer: x = 20
because 2 triangles are similar
=> [tex]\frac{2x-4}{24}=\frac{42}{x+8}[/tex]
⇔ (2x - 4)(x + 8) = 24.42
⇔ 2x² + 12x - 32 = 1008
⇔ 2x² + 12x - 1040 = 0
⇔ 2(x - 20)(x + 26) = 0
because x > 0
=> x = 20
Step-by-step explanation:
What is the solution to 2x2+8x=x2-16? x=-4 x=-2 x=2 x=4
Answer:
2x+8x=x-16?
10x=x-16
9x=-16
x=-16/9?
Step-by-step explanation:
Answer:
X= -4 Or A on egde.
Step-by-step explanation:
I just took the test 2021
William charges $4 per hour to babysit. LaRhonda charges a $10 flat fee, plus an additional $2 per hour to babysit. After how many hours will William and LaRhonda earn the same amount of money? (1 pt)
Answer:
After 5 hours
Step-by-step explanation:
LaRhonda charges a 10 dollar fee plus 5 hours will get her 20 dollars.
William will babysit 5 hours for 4 dollars and receive 20 dollars also.
6 > -4h + 10
How do I do this
The ratio of black socks to white socks in the sock drawer is 1:4. There are 8 black socks. How many white socks are there?
Answer:
32
Step-by-step explanation:
Write the point-slope equation of the line that goes through (4,6) with a slope of -2.
Answer:
(6,8) i think
Step-by-step explanation:
ANSWER E AND F PLEASE HELP ASAP
Answer:
f.Answer:
K = 3
T = 2
And
H = 12
Step-by-step explanation:
3k = 9
k = 9/3
k = 3.
3k =k + 3t
subtitute value of k
3×3=3+3t
9-3=3t
6/3=t
t=2.
2k + h =18
2×3+h=18
h=18-6
h=12..
what's the slope intercept equation of slope-4 y intercept 0,11
Step-by-step explanation:
y = mx + c
m = 4
c = 11
.: y = 4x + 11
y - 4x = 11
divide both sides by 11
[tex] \frac{y}{11} - \frac{4x}{11} = 1[/tex]
[tex] \frac{y}{11} - \frac{x}{11/4} = 1[/tex]
is the slope intercept equation (perpendicular equation)
Pentru a culege nectar 45 de albine au vizitat, intr-o singura exeditie, unele 60 flori, iar altele 75 de flori . Stiing=d ca au vizitat imreuna 3120 de flori , sa se afle cate albine au vizitat cate 75 de flori.
At a little-known vacation spot, taxi fares are a bargain. A 64-mile taxi ride
takes 72 minutes and costs $57.60. You want to find the cost of a 38-minute taxi ride. What unit price
do you need?
Answer:
The answer is 34.4
Step-by-step explanation:
Trust me it's correct
Pls mark me as brainliest
X = 5 what is the red and blue angle? PICTURE ATTACHED
Answer:
Step-by-step explanation:
if x=5 then
7x = 7*5 = 35°
11x= 11*5 = 55°
those two angle are adding to 180 with the red and blue ones
180-35=145° is blue
180-55=125° is red
Sally and her mom were making cookies to hand out to her neighbors for the holidays. Their first batch made 26 cookies, their second batch yielded 38 cookies, on the third batch the make 45 cookies, and for the last batch they were able to make 25 cookies. What is the mean?
Answer:
The mean number of cookies was 33.5
Step-by-step explanation:
Add the values of the terms and divide by the number of terms.
So...
26 + 38 + 45 + 25 = 134
134 ÷ 4 = 33.5
A farm lets you pick 3 pints of raspberries for $12.00. Use any strategy you want to answer the questions below. 1. What is the cost per pint? 2. How many pints do you get per dollar? 3. At this rate, how many pints can you afford for $20.00? 4. At this rate, how much will 8 pints of raspberries cost?
Answer:
$4 per pint
1/4 pint per dollar
5 pints for $20
$32 for 8 pints
Step-by-step explanation:
12.00/3 = 4
$4 per pint
1/4 = 1/4
1/4 pint per $1
$20 / $4 = 5 pints
$4 * 8 = $32