Answer:
323
Step-by-step explanation:
.75 x = 255
x = 255 / .75 = 340
340 * .95 = 323
Answer:
[tex]95[/tex]% of x ([tex]340[/tex]) = [tex]\boxed{\bf\:323}[/tex]
Step-by-step explanation:
Let the number be taken as 'x'.
Given,
[tex]75[/tex]% of x = [tex]255[/tex] [tex]20[/tex]% of x = [tex]68[/tex][tex]95[/tex]% of x = [tex]\boxed{?}[/tex]Then,
1) [tex]75[/tex]% of x = [tex]255[/tex]
[tex]\frac{75}{100} x = 255\\\frac{3}{4}x=255 \\x=255\times \left(\frac{4}{3}\right) \\x=\frac{255\times 4}{3} \\x=\frac{1020}{3} \\\underline {\bf\:x=340} \: \: \: \: \dashrightarrow eq. 1[/tex]
2) [tex]20[/tex]% of x = [tex]68[/tex]
[tex]\frac{20}{100} x = 68\\\frac{1}{5} x = 68\\x = 68 \times 5\\\underline{\bf\:x = 340 } \: \: \: \:\dashrightarrow eq.2[/tex]
We can see from eq.1 & eq.2 that we get the value of 'x' equal to [tex]\boxed{\bf\:340}[/tex] .
Now,
3) [tex]95[/tex]% of x = [tex]\boxed{?}[/tex]
[tex]\frac{95}{100}\times(340) \\= \frac{19}{20}\times 340 \\= \frac{19\times 340}{20} \\= \frac{6460}{20} \\= \boxed{\bf\:323 }[/tex]
[tex]\rule{150pt}{2pt}[/tex]
what is the perimeter ?
Step-by-step explanation:
the outer left side is also 50 ft.
in inner (upper) left side is also 13 ft.
the bottom line is 10+20+11 = 41 ft
this is all possible because all the angles are clearly right angles (90°).
so, the perimeter is
2×(10+20+11) + 2×50 + 2×13 = 82 + 100 + 26 = 208 ft
ylinder has a base radius of 9 feet and a height of 4 feet. What is its volume in cubic feet, to the nearest tenths place?
Answer:
Formula for volume of cylinder;
V = π[tex]r^{2}[/tex]h
Where 'π' represents pi(22/7 or 3.14), and 'r' is the radius which is squared, and 'h' is the height.
Plug in your values:
V = π[tex]r^{2}[/tex]h
V = 3.14(9^2) x 4
V = 3.14(81) x 4
V = 254.34 x 4
V = 1,017.36^3 feet or 1,017.36 cubic feet.
The numbers in this sequence increase by 40 each time 30, 70, 110, 150. The sequence is continued with the same rule. Which number in the sequence will be closest to 300?
The value in the sequence closest to 300 is 310
Arithmetic SequenceArithmetic sequence is a sequence where each term increases or decreases by addition or subtraction of a constant term
the first term a = 30
common difference, d = 40
which term is closest to 300 we solve like this
300 / 40 = 7.5 say 7
the 7th term, T7 is solved by
T7 = a + ( n - 1 ) d
T7 = 30 + ( 7 - 1 ) 40
T7 = 30 + 240
T7 = 270
checking for the 8th term to confirm the nearest
T8 = T7 + d = T7 + 40
T8 = 270 + 40
T8 = 310
therefore the 8th term is closest and the value is 310
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What is the slope of this line whose equation is y=1/6x-1/2
Answer:
The slope = 1/6.
Step-by-step explanation:
The general form for a straight line is
y = mx + c where m is the slope
So in this case m = 1/6.
Find the area of the unshaded region.
multiple choice group answers
565
555
530
560
The graph of the function f(x) is shown.
Enter a value of x where f(x) and the equation y = 0.5x + 3 intersect.
Answer:
x = 2
x = -1.5
Step-by-step explanation:
The graph is of function f(x) = x²
Therefore, to find where the function intersects with y = 0.5x + 3,
equal the functions and solve for x:
⇒ x² = 0.5x + 3
⇒ x² - 0.5x - 3 = 0
Multiply both sides by 2:
⇒ 2x² - x - 6 = 0
Factor:
⇒ 2x² - 4x + 3x - 6 = 0
⇒ 2x(x - 2) + 3(x - 2) = 0
⇒ (x - 2)(2x + 3) = 0
Therefore:
(x - 2) = 0 ⇒ x = 2
(2x + 3) = 0 ⇒ x = -1.5
You draw a rectangular picture that is 8.5 inches wide. It is 3 times as long as it is wide. What
is the area of the picture?
Answer: 216.75 in^2
Step-by-step explanation: area = 8.5 x (8.5x3)
8.5 x25.5
Which equations have a leading coefficient of 3 and a constant term of –2? check all that apply.
The equations that has a leading coefficient of 3, and a constant of -2 are:
0 = 3x² + 2x – 2
0 = –3x + 3x² – 2
0 = –1x – 2 + 3x²
What is a Leading Coefficient?A leading coefficient is the term that has the highest degree in a polynomial expression.
What is a Constant?A constant is a term that has only numbers and contains no variable.
We are given the following equations:
0 = 3x² + 2x – 2 0 = –2 – 3x² + 3 0 = –3x + 3x² – 2 0 = 3x² + x + 2 0 = –1x – 2 + 3x²The first, third, and last equations each has a leading coefficient of 3 and a constant of -2.
Therefore, the equations that has a leading coefficient of 3, and a constant of -2 are:
0 = 3x² + 2x – 2
0 = –3x + 3x² – 2
0 = –1x – 2 + 3x²
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help SOS Stevie needed twine for the gifts she was wrapping for a family party.
lengths of Stevie’s twine are shown on the line plot below. How many feet of twine does Stevie have total?
Answer:
Your answer would be:
57.75 or 57 3/4
(I will show how many of each length of twine that is on the graph)
Point 2 1/4:
2
Point 2 3/4:
4
Point 3:
1
Point 3 1/2:
2
Point 3 3/4:
3
Point 4:
1
Point 4 1/4:
4
We can show how much length in total Stevie used with the following equation:
(2 1/4 x 2) + (2 3/4 x 4) + ( 3 x 1 ) + ( 3 1/2 x 2 ) + (3 3/4 x 3 ) + (4 x 1 ) + (4 1/4 x 4)
Each smaller equation in paraphrases shows how much of each length of twine at each point with x's on the number line. Altogether it would equal 57.75 or 57 3/4.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Big Ed’s car dealership is running a special on 2008 trucks. Big Ed offers financing at a rate of 6. 71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle. You are interested in a Car Crusher truck that costs $25,230. Not including the down payment, how much will you pay over the lifetime of the loan? a. $27,924. 84 c. $23,735. 88 b. $25,789. 32 d. $21,445. 50.
Answer:
Correct answer: a.
Computation:
{eq}\begin{align*} {\rm\text{Present}}\;{\rm\text{value}}\;{\rm\text{of}}\;{\rm\text{an}}\;{\rm{annuity}}\;
Step-by-step explanation:
Financing:
Financing is generally the method to provide funds to the business so that the business can grow its operations. There are generally two types of financing. These are: Equity financing and debt financing. In debt financing, there is no obligation and burden to repay the funds acquired by it. Debt Financing is comparatively Cheaper than the Equity Financing.So The Answer Is A
The amount that you pay over the lifetime of the loan is $21,445.5. Then the correct option is D.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Big Ed’s car dealership is running a special on 2008 trucks.
Big Ed offers financing at a rate of 6.71% on a loan with a term of 36 months, but he requires the customer to make a down payment of 15% of the cost of the vehicle.
You are interested in a Car Crusher truck that costs $25,230.
Not including the down payment, the amount that you pay over the lifetime of the loan will be
⇒ (1 - 0.15) × $25,230
⇒ 0.85 × $25,230
⇒ $21,445.5
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Can someone please help
Answer:
41
Step-by-step explanation:
an = a1 + (n-1)d
a_n = the nᵗʰ term in the sequence = 10
a_1 = the first term in the sequence = 5
d = the common difference between terms = 4
a10 = 5 + (10-1)4
a10 = 5 + (9)4
a10 = 5 + 36
a10 = 41
If (x − 5) is a factor of the polynomial function f(x) = 3x2 − 23x + 40, which of the following is another factor?
Answer:
3x-8
Step-by-step explanation:
Use synthetic division:
5 | 3 -23 40
____ 15 -40_
3 -8 | 0
Hence, another factor of the polynomial is 3x-8
solve pls brainliest
Answer:
y=3
Step-by-step explanation:
12y-4y=8y
8y=24
÷8. ÷8
y=3
Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?
x > 38
x < 39
x < 77
x > 103
Answer: x>38
Step-by-step explanation:
By the exterior angle theorem, x=39+38=77.
Find the radius when the area is 452.16 in^2
area = pi x r²
3,14 x r² = 452,16
r² = 144
r = 12
Is (3, 28) a solution to 4x-y=-16
Answer:
Yes
Step-by-step explanation:
4(3) - 28 = -16
12= -16 + 28
12 = 12
Hope that helps!
if a dining room is 3 meters long in real life and is 1 centimeter long in the drawing, what scale factor does the drawing use?
Answer:
1:300
Step-by-step explanation:
2. Tania went to Italy. She changed £325 into euros (€). The exchange rate was £1 = €1.68 (a) Change £325 into euros (E).
Answer:
£325 is €546
Step-by-step explanation:
325 times 1.68 is 546
Choose 3 values that would make this inequality true. 8n + 4 ≤ 28
Choices:3,6,13,2,5,14,1
Answer:
1,2,3
Step-by-step explanation:
1*8=8+4+12<28
2*8=16+4=20<28
3*8=24+4=28=28
Quadrilateral ABCD is similar to Quadrilateral EFGH. The scale factor is 3:2 if AB = 18, find EF
Answer:
A... 12
Step-by-step explanation:
please help.......................
Answer:
what are the options? the answer I got was a fraction 19/4
A spinner is divided into four equal sections labeled A, B, C, D. After 50 trials, the spinner landed on A 14 times, on B 13 times, on C 7 times, and on D 16 times. If the spinner is spun again, what is the theoretical probability that it does not land on D?
Answer:
17/25
Step-by-step explanation:
P(not red)=Number of Skittles Not Red/Total Number of Skittles
Answer 11-12 it’s ok if your don’t no one of them. Please do at least one. Thanks.
[11]
Equation: 180° - 75°
Measure: 105°
A straight line has an angle measurement of 180°. Since we have GFB, 75°, we can find EFB this way.
[12]
Equation: 90° - 40°
Measure: 50°
The little box in the angle shows that it is equal to 90°. Since they give us HGB, 40°, we can solve for EFB using this information.
A large restaurant chain wanted to determine if its employees were taking sick days on some days of the week more than others. They took a random sample of 140 sick days taken and recorded the day of the week for each sick day. Here are the results:
Answer:
0.2
Step-by-step explanation:
Given the data :
Day : Mon Tue Wed Thu Fri Sat Sun
# of sick days 22 11 16 17 21 28 25
The expected count of sick days taken on Saturday is obtained thus :
Expected count = (row total * column total) / overall total
Here, the table is just one way :
Hence, we use :
Observed value / total days
Hence,
Expected count on Saturday = sick days on Saturday / total sick days
Expected count on Saturday = 28 / (22+11+16+17+21+28+25)
Expected count on Saturday = 28 / 140
= 0.2
The expression 8x2 − 144x 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998. choose the equivalent expression that is most useful for finding the year where the population was at a minimum. 8(x2 − 18x 108) 8(x2 − 18x) 108 8(x − 9)2 − 216 8(x − 9)2 216
The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.
Given expression 8x² − 144x + 864 is used to approximate a small town's population in thousands from 1998 to 2018, where x represents the number of years since 1998.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given expression is 8x² − 144x + 864
Let y = 8x² − 144x + 864
also, y - 864 = 8x² - 144x
by Extracting common factor 8 on the right side
y - 864 = 8(x² - 18x)
Add (18/2)² on both sides, we get
y - 864 + 8(18/2)² = 8 (x² - 18x + 81²)
y - 864 + 648 = 8 (x² - 8x + 9)
on simplification
y - 216 = 8 (x - 9)²
y = 8(x - 9)² + 216
therefore, y = 8 (x - 9)² + 216
The expression that is most useful for finding the year where the population was at a minimum would be 8(x − 9)² + 216.
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Kim and Steven went to dinner. Kim had a coupon for 25% discount off the price of all meals, not including tax and tip. If the original price of the meals was 75.00, what is the discount price, not including tax and tip.
Answer:
$56.25
Step-by-step explanation:
75%*75.00 = 56.25
A right prism has a triangular base. The length of the base is 6 meters and the height of the base is 4 meters. The height of the prism is 4.5 meters.
What is the volume of the prism?
45 m³
54 m³
69 m³
108 m³
The volume of this right prism that has a triangular base is equal to 108 cubic meters.
The volume of a right prism.Mathematically, the volume of a right prism is given by this formula:
V = L x W x H
Where:
L is the length.W is the width.H is the height.V is the volume.Given the following data:
Length of base = 6 meters.
Width of base = 4 meters. cm.
Height of prism = 4.5 meters.
Substituting the given parameters into the formula, we have;
V = 6 x 4 x 5
V = 108 cubic meters.
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Answer: 54 m³
Step-by-step explanation: proof with more answers
HELP PLEASE IT'S DUE IN AN HOUR, I also need to understand it for future qs
Answer:
a)5.83cm
Step-by-step explanation:
You have to do 3² × 5² to get the length of AC (the diagonal length of the base of the rectangle) which is √70 or 5.83 rounded to 2 d.p.
not sure about the 2nd bit, but you may have to use trigonometry
Which expression is equivalent to 7(4x + 2y)?
A) 42xy
B) 28x + 2y
C) 11x + 2y
D) 28x + 14y
Answer:
D) 28x + 14y
Step-by-step explanation:
7(4x + 2y)
Step 1: Distribute
(7 × 4x) + (7 × 2y)
Step 2: Simplify
28x + 2y
Answer:
[tex]\Longrightarrow \boxed{\sf{28x+14y}}[/tex]
Step-by-step explanation:
Use a distributive property.
Distributive property:
⇒ A(B+C)=AB+AC
⇒ 7(4x+2y)
Multiply by expanding.
⇒ 7*4x=28x
⇒ 7*2y=14y
Then, rewrite the problem.
⇒ = 28x+14y
Hence, the correct answer is 28x+14y.I hope this helps you! Let me know if my answer is wrong or not.
find the value of x in the triangle below
Answer:
√80 (Option A)⠀
Step-by-step explanation:
⠀
This is Right Angled Triangle.⠀
We'll solve this using the Pythagorean Theorem.
Let,
x be AC, where AC is the Hypotenuse.4 be AB, where AB is the Perpendicular.8 be BC, where BC is the Base⠀
We know that,
[tex]{ \longrightarrow \pmb{ \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = (4) {}^{2} +( 8) {}^{2} }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 16 +64 }}[/tex]
[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 80 }}[/tex]
[tex]{ \longrightarrow \it\pmb{ \qquad x {} = \sqrt{80} }}[/tex]
⠀
Therefore,
The value of x is √80The figure is a right angled triangle , where the value 4 is perpendicular , 8 is base and x is hypotenuse.
So, By Pythagoras theorem
[tex]x {}^{2} = 4 {}^{2} + 8 {}^{2} [/tex]
[tex]x = \sqrt{16 + 64} [/tex]
[tex]x = \sqrt{80} [/tex]