Answer: 9
Step-by-step explanation:
Given
The dimension of a rectangular prism is
[tex]L=2\ in[/tex]
[tex]W=112\ in.[/tex]
[tex]h=114\ in.[/tex]
Volume of Prism [tex]V=L\times W\times h[/tex]
[tex]\Rightarrow V=2\times 112\times 114=25,536\ in.^3[/tex]
The volume of the unit cube
[tex]\Rightarrow V_c=14\times 14\times 14=2744\ in.^3[/tex]
Suppose there are n unit cubes to fit in a rectangular prism
[tex]\Rightarrow n=\dfrac{V}{V_c}=\dfrac{25,536}{2744}=9.306\approx 9[/tex]
IWILL GIVE BRAINLIEST!!!
Answer:
Step-by-step explanation:
Pls help !!!!!!!!!!!!!! I’m timed!!!
Answer:
Step-by-step explanation:
Help :)))) please it would mean alot
Use substitution to solve the following system of equations.
x + 4y = 8
2x - 5y = 29
I
Answer:
(12, - 1 )
Step-by-step explanation:
Given the 2 equations
x + 4y = 8 → (1)
2x - 5y = 29 → (2)
Rearrange (1), expressing x in terms of y by subtracting 4y from both sides
x = 8 - 4y → (3)
Substitute x = 8 - 4y into (2)
2(8 - 4y) - 5y = 29 ← distribute and simplify left side
16 - 8y - 5y = 29
16 - 13y = 29 ( subtract 16 from both sides )
- 13y = 13 ( divide both sides by - 13 )
y = - 1
Substitute y = - 1 into (3) for corresponding value of x
x = 8 - 4(- 1) = 8 + 4 = 12
solution is (12, - 1 )
[tex]x = 8 - 4y \: \: eqn \: 1[/tex]
now in eqn 2
[tex]2(8 - 4y) - 5y = 29[/tex]
[tex]16 - 8y - 5y = 29[/tex]
[tex]16 - 13y = 29[/tex]
[tex]16 - 29 = 13y[/tex]
[tex]13 = 13y[/tex]
[tex] \frac{13}{13} = y[/tex]
[tex]y = 1[/tex]
Now in eqn 1
[tex]x = 8 - 4y[/tex]
[tex]x = 8 - 4 \times 1[/tex]
[tex]x = 8 - 4[/tex]
[tex]x = 4[/tex]
therefore x=4 & y=1 answer
After eating at a restaurant, Mr. Jackson's bill before tax is $52.50. The sales tax rate is 8%. Mr. Jackson decides to leave a 20% tip for the waiter. How much will the total bill be, including tax and tip?
Answer:
$67.2
Step-by-step explanation:
8% of $52.50
52.5 × 8/100 = $4.2
20% of $52.50
52.5 × 20/100 = $10.5
total
$52.5 + $4.2 + $10.5 =$67.2
please helps
Which function represents this sequence?
A.
f(n) = 4 ∙ 2n-1
B.
f(n) = 4n-1
C.
f(n) = 2 ∙ 4n-1
D.
f(n) = 2n-1
Answer: A. f(n) = 4 ∙ 2n-1
Step-by-step explanation:
because the 1st term is 4 according to your image, and then you will have to multiply that by its common difference and using your table, to get from 4 to 8 then 8 to 16 you would multiply by 2, and you would finally multiply that by n or known as the number of terms and 1 making the equation. f(n) = 4 ∙ 2n-1 I hope this is very helpful for everyone.
6. A bag contains 240 counters.
Huan removes 15% of the counters.
Esther removes 54 counters.
What is the percentage change in the number of
counters in the bag?
Answer:
48
Step-by-step explanation:
Members of a landscaping company built a retaining wall. They used brick to make the top ⅔ of the wall.
Answer:
The answer is "[tex]1\frac{5}{6}[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]BH=\frac{2}{3} \cdot L[/tex]
[tex]=\frac{2}{3} \cdot (2+\frac{3}{4}) \\\\=\frac{4}{3} +\frac{6}{12} \\\\=\frac{4}{3} +\frac{1}{2} \\\\=\frac{8+3}{6} \\\\=\frac{11}{6} \\\\= 1 \frac{5}{6} \\[/tex]
Answer:
The answer would be 1 5/6 !
Step-by-step explanation:
please question below i need answer FAST
Answer: 3.5 miles
Step-by-step explanation:
C=2 √πA = 2 x √π x 1 = 3.5
What set of numbers CANNOT represent the lengths of the sides of a triangle?
A. 6, 8, 11
B. 9, 12, 19
C. 7, 5, 6
D. 7, 18, 11
Answer:
D
Step-by-step explanation:
Since 7 + 11 is = 18, these cannot be the sides of a triangle
Write the equation of a circle that has a center at (4, - 5) and radius of 9.
Answer:
( x - 4 )^2 + ( y + 5 )^2 = 9^2
Step-by-step explanation:
equation of a circle: ( x - h )^2 + ( y - k )^2 = r^2
( h, k ) is the center and r is the radius.
What is the area of the trapezoid?
Answer:
26 this is because 4x5=20 then add the triangle which is 3x4 ÷ 2 equalling 26
Answer:
Step-by-step explanation:
(5+8)/2 = 13/2 = 6.5
6.5*4 = 26m²
The formula for the area of a trapezoid is the same as a trapezium :
(a+b)/2 *h = Area
If sally invests $400 into the Bank of Reyonds that offers her a 6% interest, compounded monthly, how much money will she have in the bank in 5 years?
Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
28 people in 4 rooms: 63 people in 9 rooms. Are these ratios proportional?
the ratios are ratio proportional
Algebraic expressions. c^2+d^2
Answer:
what are you asking?
Step-by-step explanation:
24 college students were hired as ushers for a concert. This is 30% of the students who applied for the job. How many college students applied to be ushers
Answer:
80 students applied
Explanation:
24 ÷ 30 × 100
= 0.8 × 100
= 80
i hope this helps! :D do comment if you need any clarification.
Answer:
80 students
Step-by-step explanation:
if 30%=24
100%=?
100%/30%*24
=80
Tell which method you used plz 4x^2-15=66
Answer:
x = ±4.5
Step-by-step explanation:
4x² - 15 = 66
Add 15 to both sides.
4x² = 81
Divide both sides by 4.
x² = 20.25
Take the square root of both sides.
x = ±4.5
Hope this helps!
can I add a photo here because I don't know how to ask a question in math
Answer:
you add a photo by pressing the link button at the bottom and choosing which picture you want
Solve (s−9)(s−1)=0. how do I solve this equation
Answer:
Step-by-step explanation:
someone help me please.
PLEASEEEE HELPPPPPP!!!!
Answer:
Step-by-step explanation:
LOL even I dont know
a=-2 and c=3 find 2c+a
Answer:
Answer is 4 you have to substitute the a and c
Answer:
4
Step-by-step explanation:
If a= -2 and c= 3 then, 2(3) + -2.
6 + -2.
4.
Hope it helps!!!!!!!!! :))
A shipping crate is 9 feet long, 4 feet wide, and 6 feet tall. What is the total surface area of the crate in square feet?
Answer:
Step-by-step explanation:
sureface area of rectanglur object is the sum of the six sides
Area = Length x Width
SArea = Top Area + Bottom Area + Front Area + Back Area + Left Side Area
+ Right Side Area
since the top and bottom have equal area = long x wide
the front and back have equal area = long x tall
and both sides have equal area = wide x tall
I summed the bottom front and side areas each times 2
SArea = 2(Bottom Area) + 2(Front Area) + 2(Side Area)
factor out the 2 and added the area formulas for the bottom front
and side
= 2 [ (long x wide) + (long x tall) + (wide x tall)]
= 2 [ (9 x 4) + (9 x 6) + (4 x 6)]
= 2 [ (9)(4) + (9)(6) + (4)(6)]
= 2( 36 + 54 + 24 )
= 2( 114)
= ???? What is 2 times 114 ???? You can finish this part.
A pizza shop has available toppings of anchovies, mushrooms, peppers, onions, olives, bacon, pepperoni and sausage. How many different ways can a pizza be made with 4 toppings?
Answer:
5
Step-by-step explanation:
just did it
Answer: 70
Step-by-step explanation:delta marh told me
If I could have help with this that would be great :) i’ve been working on it for about an hour.
What is the surface area of the image below?
please help! it’s 9:00 and i just want to be done...
Answer:
Step-by-step explanation:
1. 3/7
2. 1/5
3. 7 and 21
Answer:
1) 3/4
2) 1/5
3) 7 and 21
4) 9 tokens a day
5) 6 laps a week
In a triangle the ratio of angles is 2:3:4 find the angles
Answer:
40,60,80
Step-by-step explanation:
2x+3x×4x=180
9x=180
x=20
2x=40
3x=60
4x=80
Parallel lines cut by a transversal
Answer:
x=5
Step-by-step explanation:
Hello There!
The angle labeled 20x and the angle that has a measure of 80 degrees are supplementary angles meaning the sum of the two is 180
so we can create an equation to solve for x
180=80+20x
step 1 subtract 80 from each side
80 - 80 cancels out
180-80=100
100=20x
step 2 divide each side by 20
100/20=5
20x/20=x
we´re left with x=5
The measure of angle A is equal to x degrees. The measure of angle B is equal to 95 degrees. Angles A and B are supplementary. Find m angle A
Answer:
95°
Step-by-step explanation:
Since both angles are supplementary, they have the same degree.
If angle B = 95°, angle A is also = 95°