Answer:
6ft: 25.667ft / 7ft: 22ft
Step-by-step explanation:
Since the question shows 7ft but the diagram shows 6ft I will show how to do both
FOR 6FT
Justin's height remained the same at 5'6" (or 5.5ft) and the distance between him and the mirror was 6ft
Now if we assume the triangles are congruent to each other, then set sides A and C equal to each other and solve for x
6/28 = 5.5/x
6x = 154
x = 25.667ft
FOR 7FT
Same process as before, replace 6 with 7
7/28 = 5.5/x
7x = 154
x = 22ft
A store sells $2\frac{1}{4}$ pounds of mulch for every $1\frac{1}{2}$ pounds of gravel sold. The store sells $180$ pounds of mulch and gravel combined. How many pounds of each item does the store sell
Using the principle of proportional relationship, the amount of mulch and gravel sold is 108 and 72 pounds respectively.
Creating a ratio expression thus :
2.25 pounds of mulch = 1.5 pounds of gravel 2.25 : 1.5 Combined ratio= 2.25 + 1.5 = 3.75Let :
Pounds of mulch sold = mPounds of gravel sold = gPounds of Mulch sold :
(2.25/3.75) × 180 = 108 poundsPounds of gravel sold :
(1.5 / 3.75) × 180 = 72 poundsHence, the amount of mulch and gravel sold is 108 and 72 pounds respectively.
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h3elpppp pleaseeeehejejrhegss
Answer:
First is 1, then 2, then 10
Step-by-step explanation:
I think this is right, could be completely wrong but I did blank times 50 equals 50, that is 1. Repeated with all the problems.
Passes through (2, 3) at a gradient of 2
Answer:
y = 2x-1
Step-by-step explanation:
I'm guessing gradient of 2 means slope of 2
if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation
slope-intercept (y=mx+b)
m is the slope and b is the y-intercept (which we are trying to find)
so far, we have a point and a slope so we can fill in x,y, and m
(3) = (2)(2) + b
3 = 4 + b
3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)
-1 = b
we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation
y = 2x - 1
help.......................................................
Answer:
Down here ↓↓↓↓↓↓
Step-by-step explanation:
Anything below 1 is a reduce
Anything above 1 is an enlarge
Anything equal to 1 is a preserve
1. Reduce, 0.75 < 1
2. Reduce, 4/5 < 1
3. Enlarge, 4.2 > 1
4. Preserve, 8/8 = 1
5. Enlarge, 7/2 > 1
6. Preserve, 1 = 1
7. Reduce, 0.1 < 1
8. Enlarge, 1 2/3 > 1
9. Enlarge, 12 > 1
-Chetan K
l=3cm×b=4cm×h=2cm
Can u pls help
Answer:
24 cm or h= 1/2 cm , b= 1 1/3 cm, l = 3cm
Step-by-step explanation:
3 x 4 x 2 = 12
Evaluate a + b + cd if a = 7/8 b = -7/16 and c= .8 d = 1/4 Write your answer as a fraction in simplest form.
Refer to the attachment
Suzie has 672 marbles. She wants to put the marbles into 5 containers, each with the same amount. How many marbles will be in two containers?
Answer:
there would be 67.2 in 2 containers
Step-by-step explanation:
if you take 672 and divide that by 5 you get 134.4 so if you take that number and divide it by 2 you would get 67.2 hope this helps
Describe the first step you would take in solving 12 = 7 - 3x + 5x. Explain.
Answer:
the first step would be to combine the x's
Step-by-step explanation:
1.) combine x (12=7+2x)
2.) subtract 7 from both sides of the equation (5=2x)
3.) divide by 2 to allow x to be by its self (5/2=x)
The volume of a cube is 496cm
Work out the length of its side rounded to 1 DP
cm
Answer:
7.9
Step-by-step explanation:
Volume = side · side · side
∛496 = 7.915783219
Write the equation of the line in fully simplified slope-intercept form
Answer:
y = - x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (6, 0) ← 2 points on the line
m = [tex]\frac{0-6}{6-0}[/tex] = [tex]\frac{-6}{6}[/tex] = - 1
The line crosses the y- axis at (0, 6 ) ⇒ c = 6
y = - x + 6 ← equation of line
What is the output of y= 2/3x −4 when the input is 18?
Answer:
output = 8
Step-by-step explanation:
1. To solve for the output of the equation, we plug in the value of the input, 18, and simplify.
Keep in mind that the input is x, and the output is y.2. (Solving)
[tex]y=\frac{2}{3}(18)-4[/tex] [tex]y = \frac{36}{3}-4[/tex] [tex]y = 12 - 4[/tex] [tex]y = 8[/tex]Therefore, the output is 8.
An equation is formed when two equal expressions. The output of y= 2/3x −4 when the input is 18 is 8.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The output of y= (2/3)x −4 when the input is 18 are,
y = (2/3)x - 4
y = (2/3)18 - 4
y = 12 - 4
y = 8
Hence, the output of y= 2/3x −4 when the input is 18 is 8.
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who my fav celeb who ever can guess it close to the name gets brainest
Answer:
john cena
Step-by-step explanation:
i have no idea lol
What are the x and y -intercepts for the equation 5x - 4y = 10
Answer:
x=2
y= -2.5
Step-by-step explanation:
x int
1.) set y to 0 (5x -4(0)=10
solve for 5x=10
y int
1.) set x to 0
solve for -4y=10
Answer:
x=2, y=-5/2
Step-by-step explanation:
to find the 'x' intercept, set the 'y' value to zero and solve:
5x - 4(0) = 10
5x = 10
x = 2
to find the 'y' intercept, set the 'x' value to zero and solve:
x(0) - 4y = 10
-4y = 10
y = -10/4 or -5/2
Benny loves eating fruits. Benny paid $4.30 for apples, and $7.02 for peaches with
a $20 bill. How much change did Benny receive?
5x-3y=30
7x-3y=36
elimantion method
Answer:
x = 3 and y = -5
Step-by-step explanation:
[tex]5x - 3y = 30 \\ 7x - 3y = 36 \\ \\ - 1(5x - 3y = 30) \\ 7x - 3y = 3 \\ \\ - 5x + 3y = - 30 \\ 7x - 3y = 36 \\ 2x = 6 \\ x = 3 \\ \\ 5(3) - 3y = 30 \\ 15 - 3y = 30 \\ - 3y = 30 - 15 \\ - 3y = 15 \\ \frac{ - 3y}{ - 3} = \frac{15}{ - 3} \\ y = - 5[/tex]
A new video streaming and renting company Webflix claims it is better than its competitors. They charge $3.00 per month plus $1.25 per rental of new movie releases. A close competitor refutes the claims of Webflix and stated that they are actually better than its competitors. Zulu charges $4.00 per month plus
$1.00 per rental of new movie releases.
a) If you rent 7 movies, which streaming service would cost more? Explain/show your reasoning
b) Write a system of equations representing the total costs of the two streaming companies based on x
movie rentals.
c) How many movie rentals would it take for the streaming services to cost the same? Explain/show
your reasoning
d) Make an argument on which streaming service is the better cost.
Answer:
A
Step-by-step explanation:
I I think that's the answer
What number does this Roman numeral represent? MCCLXXXVIII
Answer:
1280 is the answer. hope it helps you
Not sure how to do this. Help is much appreciated. :D
Answer:
m = √n/3 -k
Step-by-step explanation:
√n = 3(k + m)
=> √n/3 = k + m
∴ m = √n/3 -k
Hope this helps!!
answer please answer please
Step-by-step explanation:
angle EAB = 2x too, due to the laws of the same and mirrored angles when a line crosses 2 parallel lines.
the angle ABE is 180 - 6x, due to the fact that all angles around a single point on one side of a line ad up to 180 degrees.
similarly, the angle AEB is 180 - 4x.
and then we know the sum of all angles in a triangle is airways 180 degrees.
so,
180 = 2x + 180 - 4x + 180 - 6x
0 = 180 - 8x
8x = 180
x = 22.5
Maria buys n pencils that cost p cents each.
She pays with a $y note.
Find, in terms of n,p and y, the amount of change Maria receives.
Give your answer in cents.
Answer:
change = 100y -np
Step-by-step explanation:
The amount Maria owes for the pencils (in cents) is n times the cost of one pencil: np.
The amount she offers for the pencils (in cents) is 100y, since each dollar is worth 100 cents.
Her change will be the difference between what she offered in payment and what she owes.
change = 100y -np
When the marked price and selling price after discount are given write the formula to find the rate of discount.
Step-by-step explanation:
marked price = 100%
1% = 100%/100 = marked price / 100
discount = marked price - selling price
discount % = discount / 1% =
= (marked price - selling price) / (marked price)/100 =
= 100×(marked price - selling price) / (marked price)
Evaluate -24=(-6)-(-18).
Answer:
−24= 12
Step-by-step explanation:
Answer:
-2=1
Step-by-step explanation:
-24=(-6)-(-18)
-24=(-6)+18
-24=12
-24/12 = 12/12
-2=1
(2 negatives make a positive)
Someone help, this is kinda boring...
I'll give brainliest if someone gives me the correct answer
Answer:
Step-by-step explanation:
[tex]a+b =1\dfrac{3}{5} + (-2)\\\\=\dfrac{8}{5}-\dfrac{2*5}{1*5}\\\\=\dfrac{8-10}{5}\\\\\\=\dfrac{-2}{5}\\\\\\2-c = 2-[-7] = 2+7 = 9\\\\\\dfrac{- I a + b I}{2-c}=\dfrac{\dfrac{-2}{5}}{9}\\\\=\dfrac{-2}{5}*\dfrac{1}{9}\\\\=\dfrac{-2}{45}\\\\[/tex]
During a closeout sale, some television models are discounted 40%. If a television is on sale for $1,485, what is the original price of the television to the nearest dollar?
Answer: it should be 70
Step-by-step explanation:
because the re adding of the dollars
someone help again please !!
Answer:
a: 2n + 11 = 25
b: 7
Step-by-step explanation:
a number is n, double it is x2 so that gets 2n and it says add eleven so 2n + 11. I get 25 so 2n + 11 = 25
2n + 11 = 25
- 11 - 11
2n = 14
2n/2 = 14/2
n = 7
A car's velocity is modeled by V(t)=0.5t^2 -8t +24 ,where the velocity is in feet per second and time is in seconds. When does the car come to a complete stop
12 seconds
8 seconds
4 seconds
2 seconds
The velocity of the car is the rate of change of distance over time.
The car comes to a complete stop at 12 seconds
The velocity function is given as:
[tex]\mathbf{V(t) = 0.5t^2 - 8t + 24}[/tex]
When the car comes to a complete stop, V(t) = 0.
So, we have:
[tex]\mathbf{0.5t^2 - 8t + 24 = 0}[/tex]
Expand
[tex]\mathbf{0.5t^2 - 6t - 2t + 24 = 0}[/tex]
Factorize
[tex]\mathbf{0.5t(t - 12) - 2(t - 12) = 0}[/tex]
Factor out t - 12
[tex]\mathbf{(0.5t - 2)(t - 12) = 0}[/tex]
Split
[tex]\mathbf{(0.5t - 2) =0\ or\ (t - 12) = 0}[/tex]
Solve for t
[tex]\mathbf{0.5t =2\ or\ t = 12}[/tex]
This gives
[tex]\mathbf{t =4\ or\ t = 12}[/tex]
12 > 4.
Hence, the car comes to a complete stop at 12 seconds
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A shirt is 20% off the sticker price of $34. How much is the discount?
Answer:
Step-by-step explanation:
you would pay is 34 - 6.8 = 27.2 dollars. hope it helps bye :)
Given that 2x/5=3y/8, find the ratio of X:y
Answer:
[tex]\frac{2}{5} :\frac{3}{8}[/tex]
Step-by-step explanation:
First of all, answer both sides separately.
Find the value of x and simplify.
Find the value of y and simplify.
It is just like removing the variables.
Find $\left(\frac{5}{7}\right)^{3}\left(\frac{4}{5}\right)^{3}$.
Can u answer this?
~fractions
[tex] \large \tt( \frac{ 5 }{ 7 } ) ^ { 3 } ( \frac{ 4 }{ 5 } ) ^ { 3 }[/tex]
[tex] \large \tt = \frac{125}{343}\times \left(\frac{64}{125}\right) [/tex]
[tex] \large \tt = \frac{125\times 64}{343\times 125} [/tex]
[tex] \large \tt = \boxed{\frac{64}{343} } \: ✓[/tex]
~ nice to help you ^^
Help Help Help Help Help Help
Answer:
∠ 1 = ∠ 3 = 52°
Step-by-step explanation:
∠ 3 and ∠ 6 are same- side interior angles and sum to 180° , so
∠ 3 + ∠ 6 = 180° , that is
∠ 3 + 128° = 180° ( subtract 128° from both sides )
∠ 3 = 52°
∠ 1 and ∠ 3 are vertically opposite angles and are congruent , then
∠ 1 = 52°