The space inside the steps will be 0.04 cubic meter
What is volume?The space in a three dimensional region occupied by any body is called as volume.
Assume the steps have the dimensions shown in the diagram below.
We can decompose them into two rectangular prisms.
The lower prism has the dimensions 20 in × 16 in × 6 in.
The upper prism has the dimensions 20 in × 8 in × 6 in.
1. Volume of lower prism
V = lwh = 20 in × 16 in × 6 in = 1920 in³
2. Volume of upper prism
V = lwh = 20 in × 8 in × 6 in = 960 in³
3. Volume of steps
V = 1920 in³ + 960 in³ = 2880 in³
Or the volume in meter will be 2880 cubic inches = 0.04 cubic meters.
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A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 238 mocha and 42 chocolate. What percent of the cupcakes sold that day were mocha?
Answer:
35%
Step-by-step explanation:
The required percentage of the mocha cupcakes that were sold that day is 85%.
Given that,
A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 238 mochas and 42 chocolate. What percent of the cupcakes sold that day were mocha is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
Number of mocha cupcakes = 238
Number of chocolate cupcakes = 42
Total cupcakes = 238 + 42 = 280
Percentage of mocha sold = 238/280 = 0.85 or 85%
Thus, the required percentage of the mocha cupcakes that were sold that day is 85%.
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 Which of the following side lengths do not make up a right triangle?
A. 3,4,5
B. 5,12,13
C. 7,22,25
D. 8,15,17
Answer:
C. 7,22,25
Step-by-step explanation:
A. 3,4,5
=> p² + b² = h²
=> 3²+4² = 5²
=> 9+16 = 25
=> 25 = 25
B. 5,12,13
=> 5² + 12² = 13²
=> 25 + 144 = 169
=> 169 = 169
C. 7,22,25
=> 7² + 22² = 25²
=> 49 + 484 = 625
=> 533 ≠ 625
D. 8,15,17
=> 8² + 15² = 17²
=> 64 + 225 = 289
=> 289 = 289
so, the side that lengths do not make up right triangle is C. 7,22,25
NO LINKS!!
Find the volume of each sphere, both in terms of p and to the
nearest tenth. Use 3. 14 for p.
r = 6. 12 cm
d = 54 in
Zack sold 3 of his old hockey sticks at Refreeze Secondhand Sports Shop. Before he left, he spent $25 of his earnings on a used pair of hockey gloves. He had $71 remaining. How much did Zack receive for each hockey stick?
Answer:
Zack received $32 for each hockey stick
Step-by-step explanation:
how I did it:
$71+$25=96
now you divide 96 by 3
3 2
3 9 6
− 9
0 6
− 6
0
96 divided by 3 is equal to $32.
Hence, Zack received $32 for each hockey stick.
CAN SOMEONE HELP PLEASE IM BEGGING YOU PLAS
what is 2+2 divided by 50
Answer: 2.04
Step-by-step explanation:
2+2=4
4/50 = 2.04
1. Given: LMN ~ QPR, find RQ.
Answer:
C. 27
Step-by-step explanation:
If those two triangles are similar then look at how much one side is being increased to the other triangle. ML is similar to PQ and it increases by 1.5 to get there.
So find the side similar to RQ which is LN
1.5(x+7)=2x+5
1.5x+10.5=2x+5
5.5=0.5x
x=11
Then plug in 11 for x to find RQ which will be 27
A number exceeds 47,56,908 by 16,34,096 .Find the number
Answer:
6391004
Step-by-step explanation:
hope this helps
Answer:
6391004
Step-by-step explanation:
The question is basically saying that a number is more than 47,56,908 by 16,34,096.
So that number will be 4756908+1634096 =
6391004
Therefore that number is 6391004
please help me
Question
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
How many outcomes include exactly one head?
Enter your answer as a number, like this: 42
Answer:
1/8 is the probability to have exactly one head
Write the equation of a line in slope-intercept form that passes through the point (0,-7) and has a slope of 3/4.
Answer:
y=3/4x-7
Step-by-step explanation:
(0,-7) is the y-intercept
3/4 is the slope
y=mx+b
m is the slope
b is the y-intercept
plug it in:
y=3/4x-7
please mark brainliest!
What equation is graphed in this figure?
y - 4 = -⅓(x+2)
y - 3 = ⅓ (x+1)
y + 2 = -3(x – 1)
y - 5 = 3(x - 1)
to get the equation of any straight line, we simply need two points off of it, let's use those two points in the picture below.
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{3}{1}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_2}{5}=\stackrel{m}{3}(x-\stackrel{x_2}{1})[/tex]
keeping in mind that for the point-slope form, either point will do, in this case we used the second one, but the first one would have worked just the same.
help mah please I give dollar
Answer:
45 + X
Step-by-step explanation:
i didnt read it correctly sorry
The average height of Hillsdale College's student body is 64.8 inches. If the 600 women at the college average 64 inches, what is the average height of the 400 men at the college? Show work.
Answer:
dont know bro
Step-by-step explanation:
help please!!!! it makes so sense
Answer:
(- [tex]\frac{1}{5}[/tex] , 0 )
Step-by-step explanation:
to find where the line crosses the x- axis, let y = 0 in the equation and solve for x
5x - 2(0) + 1 = 0
5x - 0 + 1 = 0
5x + 1 = 0 ( subtract 1 from both sides )
5x = - 1 ( divide both sides by 5 )
x = - [tex]\frac{1}{5}[/tex]
the line crosses the x- axis at (- [tex]\frac{1}{5}[/tex], 0 ) or ( - 0.2, 0 )
Answer:
(-1/5, 0).
Step-by-step explanation:
Where the line crosses the axis the value of y = 0.
5x - 2y + 1 = 0
Let y = 0, then:
5x - 2(0) + 1 = 0
5x + 1 = 0
5x = -1
x = -1/5.
So the point is (-1/5, 0).
Help me please I need to get my grade up
Answer:
Um I can only see a graph
Step-by-step explanation:
Find decimal form root23 and root24
Answer:
Below.
Step-by-step explanation:
√23 = 4.796
√24 = 4.899.
- both correct to the nearest thousandth,
Kim is installing blue
white tile in her bathroom. She
made a diagram of
the layout showing the area of both colors. Write two
expressions that describe the area of the blue tile.
Answer:
4/9, 44.4%
Step-by-step explanation:
16 tiles are blue out of 36
16/36 = 4/9
4 ÷ 9 × 100 = 44.4%
What are the least and greatest fractors of 45? of 36? of 60?
The GCF for 45,36,60 is 3
The LCM for 45,36,60 is 180
hope this helps
Factor the expression x2 - 36.
Answer:
x = -6 or 6
Step-by-step explanation:
=> x² - 36
=> x² - 6²
=>(x + 6 ) (x - 6)
=> x = -6 or x = 6
[tex]x^2-36\\\\=x^2-6^2\\\\=(x+6)(x-6)[/tex]
HELP PLEASE EXPLAIN HOW TO EVALUATE
Answer:
165
Step-by-step explanation:
The symbol [tex]\sum[/tex] is used to denote a sum of multiple terms.
The number below [tex]\sum[/tex] is the first term.
The number above [tex]\sum[/tex] is the last term.
Each term can be determined by using the given equation.
[tex]\begin{aligned}\displaystyle \sum_{n=3}^{8}5n & =5(3)+5(4)+5(5)+5(6)+5(7)+5(8)\\ & = 5(3+4+5+6+7+8)\\ & =5(33)\\ & = 165\end{aligned}[/tex]
So
[tex]\\ \rm\Rrightarrow \sum^8_{n=3}5n[/tex]
[tex]\\ \rm\Rrightarrow 5(3)+5(4)+5(5)+5(6)+5(7)+5(8)[/tex]
[tex]\\ \rm\Rrightarrow 15+20+25+30+35+40[/tex]
[tex]\\ \rm\Rrightarrow 165[/tex]
Use the method of elimination to solve the pair of simultaneous equation 2x+5y=4,2x-2y=18
[tex]2x+5y= 4~~~...(i)\\\\2x-2y = 18~~~...(ii)\\\\(ii) -(i):\\\\~~~~~2x-2y -2x -5y= 18 -4\\\\\implies -7y = 14\\\\\implies y = -\dfrac{14}7\\\\\implies y= -2\\\\\text{Substitute}~ y=-2~ \text{ in eq (i):}\\\\~~~~~~2x+5(-2) = 4\\\\\implies 2x-10 = 4\\\\\implies 2x = 10+4\\\\\implies 2x =14\\\\\implies x = \dfrac{14}2\\\\\implies x =7\\\\\text{Hence}~ (x,y) =(7,-2).[/tex]
Answer:
y = -2
x = 7
Step-by-step explanation:
Solving simultaneous equation
2x + 5y = 4 ---------------(I)
2x - 2y = 18 -----------(II)
Now, multiply equation (II) by (-1) and then add the equations. So that, 'x' will be eliminated and we can find the value of 'y'
(I) 2x + 5y = 4
(II)*(-1) -2x + 2y = - 18 {Now add}
7y = -14
y = -14/7 {on dividing both sides by 7}
[tex]\sf \boxed{y= -2}[/tex]
Now plugin y = -2 in equation (I)
2x + 5*(-2) = 4
2x - 10 = 4
2x = 4 + 10 {on adding 10 to both sides}
2x = 14
x = 14/2 {Divide both sides by 2}
[tex]\sf \boxed{x = 7}[/tex]
Solve the inequality x − y < z for x
Answer:
Resolver para x
⎩
⎪
⎨
⎪
⎧
x<
1−z
y
,
x∈R,
x>
1−z
y
,
z<1
y>0 and z=1
z>1
Step-by-step explanation:
The solution of the inequality x − y < z is x < z + y.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality,
x − y < z.
To solve for x:
Add y to both sides,
x < z + y
Therefore, the solution is x < z + y.
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Solve the system of equations algebraically show all work.
Y=-x^2+8x+11
Y=5x-7
Answer:
ummmm..... let's see..
Step-by-step explanation:
using "Almighty formula"
{Y = –x +/– √b^2 – 4ac / 2a}
so we name all the values behind the coefficients which are; –1^2, 8 and 11
so let's assign a,b,c to these values:
a =–1, b =8, c = 11
all you just do now is to add these values to the formula
you should be having Y =1 +/– √8^2 – 4×–1×11
———————————
2×–1
Y =1 +108
———— or Y = 1–108
–2 –––––
–2
now add and divide to get Y.
(your answer will be two)
two days of the year on which the noon sun is directly overhead at nearly 23.5 south or north December 21st and June 21
June 21st - summer solstice
December 21st - winter solstice
hope it helps...!!!
Jorge finds that 56% of his 75 classmates like salsa music and 80% of his 60 relatives like salsa music. How many more of Jorge’s relatives, as compared to his classmates, like salsa music?
Answer: 6
Step-by-step explanation:
Classmate: 56/100 × 75/1 =42
relative: 80/100 × 60/1 = 48
Difference is 6
Convert 67,000 pounds to tons. choose the words and numbers to complete the statements. a pound is choose... than a ton, so choose... the number of pounds by choose... to find the number of tons. therefore, 67,000 pounds is choose... tons.
Answer:
See below
Step-by-step explanation:
A POUND IS 1/2000 of a ton so multiply the number of pounds by 1/2000 to find the number of tons therefore 67 000 pounds is 33.5 tons
Answer:
A pound is (larger) than a ton, so (multiply) the number of pounds by (1000) to find the number of tons. Therefore, 67,000 pounds is (33.5) tons.
Step-by-step explanation:
when you see ( ) it means it's the answer
(help very much needed asap)
Answer number 2 please
-6x+71= -4x-1 procedimiento
Answer:
[tex]-6x+71= -4x-1[/tex]
[tex]-6x+71-71=-4x-1-71[/tex]
[tex]-6x=-4x-72[/tex]
[tex]-6x+4x=-4x-72+4x[/tex]
[tex]-2x=-72[/tex]
[tex]\cfrac{-2x}{-2}=\cfrac{-72}{-2}[/tex]
[tex]x=36[/tex]
Hope it helps u!! ^-^
Hey ! Buddy .
As the question is in Spanish . So we have provided your answer in English as well as in Spanish language .
( ¡Oye! Amigo, la pregunta es en español. Así que hemos proporcionado su respuesta tanto en inglés como en español. )
Answer:
Value of x is 36 (El valor de x es 36)Step-by-step explanation:
In this question we have given with an equation that is -6x + 71 = -4x - 1 . And have to find the value of x .
( En esta pregunta hemos dado con una ecuación que es -6x + 71 = -4x - 1 . y hay que encontrar el valor de x )
Solution : -
( Soluciones : - )
[tex] \quad : \implies - 6x + 71 = - 4 - 1[/tex]
Step 1 : Subtracting 71 on both sides :
( Paso 1 : Restando 71 en ambos lados: )
[tex]\quad : \implies - 6x + \cancel{71} - \cancel{71} = - 4x - 1 - 71[/tex]
On calculating further, We get :
( Al calcular más, obtenemos : )
[tex]\quad : \implies - 6x = - 4x - 72[/tex]
Step 2 : Adding 4x on both sides :
( Paso 2 : Sumando 4x en ambos lados: )
[tex]\quad : \implies - 6x + 4x = - \cancel{4x} + \cancel{4x } - 72[/tex]
On calculating further, We get :
( Al calcular más, obtenemos : )
[tex]\quad : \implies \cancel{-} 2x = \cancel{-}72[/tex]
Step 3 : Dividing by 2 on both sides :
( Paso 3 : Dividiendo por 2 en ambos lados: )
[tex]\quad : \implies \frac{ \cancel{2}x}{ \cancel{2} } = \cancel{\frac{72}{2} }[/tex]
On calculating further , We get :
( Al calcular más, obtenemos : )
[tex]\quad : \implies \: \green{ \boxed{ \frak{x = 36}}}[/tex]
Therefore , value of x is 36 . ( Por lo tanto , el valor de x es 36 . )Verifying : -
( Comprobación :- )
We are verifying our answer by substituting value of x in given equation. So ,
( Estamos verificando nuestra respuesta al sustituir el valor de x en la ecuacióndada. Asi que, )
-6x + 71 = -4x - 1 -6 ( 36 ) + 71 = -4 ( 36 ) - 1-216 + 71 = -144 - 1-145 = -145L.H.S = R.H.S (Lado izquierdo = Lado derecho )Hence, Verified. ( Por lo tanto, Verificado. )Therefore, our solution is correct.
( Por lo tanto, nuestra solución es correcta. )
#Keep Learning1 point
2. Write the equation of a line through the point (4, 6) that
is perpendicular to the line 2x - y = 15.
Enter the equation in slope-intercept form. Use fractions if necessary. NO SPACES.
Answer: 2x-y=15
Step-by-step explanation: can u be more detailin