Answer: 8 cubes
Step-by-step explanation:
Volume of a rectangular prism is length × height × width
Length=7 1/2
Width= 15 1/2
Height=12
Volume of the prism is therefore:
7 1/2×12×15 1/2= 1395cm3
No of cubes with edge length 1/2 to fit into the prism will be:
Volume of cube is L*W*H
1/2*1/2*1/2= 1/8cm3
Therefore the no of cubes to fit into the Prism will be:
1395/(1/8)= 11160 cubes.
If one was stuck,the number of 1/2 edge length
cube to fit into 1cm will be:
1/(1/8)= 8 cubes
Item 10
Find the interquartile range of the data.
8, 2, 14, 12, 10, 4, 4, 6
Answer:
7
Step-by-step explanation:
7 1/2 ÷ 3 3/4 equals?
Answer:
2
Step-by-step explanation:
Gabriella earns a commission of 6% for every house she sells each month. This month she sold 3 houses totaling $895,000. How much did she earn commission this month?
Answer:
$53,700
Step-by-step explanation:
Commission earned = percentage commission x total number of houses sold
[tex]\frac{6}{100}[/tex] x $895,000 = $53,700
Frank thinks that 2x + 3x2 is the same as 5x3. Which statement shows that it is NOT the same? 2x + 3x2 = 5x2 2(6) • 3(6)2 ≠ 5(6)3 2x + 3x ≠ 5x 2(4) + 3(4)2 ≠ 5(4)3
Answer:
The correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.
Step-by-step explanation:
Note: This question is not written in the proper form. It is therefore properly rewritten before answering the question as follows:
Frank thinks that 2x + 3x^2 is the same as 5x^3. Which statement shows that it is NOT the same?
A. 2x+3x^2 = 5x^2
B. 2(6) * 3(6)^2 ≠ 5(6)^3
C. 2x +3x ≠ 5x
D. 2(4) +3(4)^2 ≠ 5 (4)^3
The explanation of the answer in now given as follows:
The answer is determined by verifying which of the options has the same functional form as the functional form in the question and it is NOT disproved.
As it can be seen, only option has the same functional form as the functional form in the question.
Given 2(4) +3(4)^2 ≠ 5 (4)^3
By doing the calculation of each side, we have:
2(4) +3(4)^2 = (2 * 4) + (3 * 4^2) = 56
5 (4)^3 = 5 * 4^3 = 320
Therefore, 2(4) +3(4)^2 ≠ 5 (4)^3
Since the calculation does not disprove that 2(4) +3(4)^2 ≠ 5 (4)^3, the correct option is therefore D. 2(4) +3(4)^2 ≠ 5 (4)^3.
Answer: D. 2(4) +3(4)^2 ≠ 5 (4)^3.
Step-by-step explanation: I got it write on one of my tests.
Evaluate the expression for the given value of the variable.
46 + 1/5r
r = -1/2
Answer:
[tex]45\frac{9}{10}[/tex] or [tex]45.9[/tex]
Step-by-step explanation:
All we have to do here is substitute the given value of [tex]r[/tex] into the given expression. Therefore, after substituting [tex]r=-\frac{1}{2}[/tex] into [tex]46+\frac{1}{5}r[/tex], we get:
[tex]46+\frac{1}{5}r[/tex]
[tex]= 46+\frac{1}{5}*(-\frac{1}{2} )[/tex] (Substitute [tex]r=-\frac{1}{2}[/tex] into [tex]46+\frac{1}{5}r[/tex])
[tex]=46-\frac{1}{10}[/tex] (Multiply)
[tex]=45\frac{9}{10}[/tex] or [tex]45.9[/tex] (Simplify)
Hope this helps!
Hey there!
The answer to your question is [tex]45\frac{9}{10}[/tex]
We can find this by simply plugging in the "r" value into the given equation.
46 + [tex]\frac{1}{5}[/tex] ([tex]\frac{-1}{2}[/tex])
Now we evaluate the equation:
46 + [tex]\frac{1}{5}[/tex] ([tex]\frac{-1}{2}[/tex])
46 + [tex]\frac{-1}{10}[/tex]
[tex]45\frac{9}{10}[/tex]
Hope this helps and have an amazing day!
I have a bag with yellow and blue marbles in it. At the moment, the ratio of blue marbles to yellow marbles is 4:3. If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3. How many blue marbles were in the bag before I added more?
Answer:
4:7 7 being to total number of marbles (part to whole ratio)
There are 16 blue marbles were in the bag before I added more.
What is mean by Ratio?A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.
Given that;
The ratio of blue marbles to yellow marbles is 4 : 3.
And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.
Now,
Since, The ratio of blue marbles to yellow marbles is 4 : 3.
Hence, Number of blue marbles = 4x
Number of yellow marbles = 3x
And, If I add 5 blue marbles and remove 3 yellow marbles, the ratio will be 7:3.
Then, We can formulate;
⇒ 4x + 5 / 3x - 3 = 7x / 3x
⇒ (4x + 5) / (3x - 3) = 7 / 3
⇒ 3 (4x + 5) = 7 (3x - 3)
⇒ 12x + 15 = 21x - 21
⇒ 15 + 21 = 21x - 12x
⇒ 36 = 9x
⇒ x = 4
Thus, The number of blue marbles = 4x
= 4 × 4
= 16
Learn more about the ratio visit:
https://brainly.com/question/169670
#SPJ2
What is the equation, in slope-intercept form, of the line plotted on the graph below?
A. y= - 2/3 x - 1
B. y= 2/3 x -1
C. y= 3/2 x - 1
D. y= 3/2 x - 1
0.10( y-7)+0.02y=0.20y-0.4 it has to be an integer or decimal ergent!
9514 1404 393
Answer:
y = -3.75
Step-by-step explanation:
Solving equations with decimal fractions is done the same way as with numbers in any other form. Use your skill with decimal number arithmetic.
0.10(y -7) +0.02y = 0.20y -0.4
0.10y -0.70 +0.02y = 0.20y -0.40
-0.30 +0.12y = 0.20y . . . . . . . . add 0.40 and collect terms
-0.30 = 0.08y . . . . . . . . . . . . . . subtract 0.12y
-0.30/0.08 = y = -3.75 . . . . . . .divide by the coefficient of y
what is the function, domain, and range??
{(1,-2), (-2,0), (-1,2), (1,3)}
Answer:
the relation is NOT a function
domain: { 1,-2,1}
range: { -2, 0, 2, 3}
Step-by-step explanation:
whats the first step*
-4 = n + 5
Answer is when you look at the problem the first thing you should notice is the variable. Now we’re on to the solving to make this Easyer for you lets put this problem in the correct order 5 + n = -4 so we have to get negative 4 so we can not solve this problem until we replace the variable so we will replace the variable with 9, now the problem will look like this 5 + 9 = -4 and theirs your answer you substitute the variable for 9. Hope this helps pls mark brainlyest.
Step-by-step explanation:
How do you solve this? 35=y-6
Answer:
Rewrite the equation as y−6=35 .
y−6=35
Move all terms not containing y to the right side of the equation.
y=41
Step-by-step explanation:
A snowboarder is going down a mountain at a rate of 2000 feet per 20 minutes. At this rate how many feet will he have traveled after 4 hours?
Answer: 24,000 feet
Step-by-step explanation:
Well there is 60 minutes in an hour. So every 60 minutes you add by 6000
and 6000 x 4= 2400
:)
Solve the perimeter formula for an isosceles triangle, P = 2a + b for a.
a = P + 2b
a = P – 2b
Answer:
The solution for a is a = [tex]\frac{P-b}{2}[/tex]
Step-by-step explanation:
To solve an equation for one of its variables, do that
Separate the term of this variable on one side and the other terms on the other sidesMake the coefficient of the variable equals1 (if it is not 1)Let us solve the question
∵ The perimeter formula for an isosceles triangle is P = 2a + b
∵ We need to solve it for a
→ By using the first step above, subtract the two sides by b to move it
from the right side to the left side
∵ P - b = 2a + b - b
∴ P - b = 2a
→ By using the second step above, divide both sides by 2
∵ [tex]\frac{P-b}{2}[/tex] = [tex]\frac{2a}{2}[/tex]
∴ [tex]\frac{P-b}{2}[/tex] = a
→ Switch the two sides
∴ a = [tex]\frac{P-b}{2}[/tex]
∴ The solution for a is a = [tex]\frac{P-b}{2}[/tex]
Part C Find the values for a and b. Explain or show your reasoning. Answer Part D What is the y-coordinate when x = 0? Explain or show your reasoning. Answer
Answer:
(a)
[tex]b = 6[/tex] and [tex]a = 5[/tex]
(b) [tex]x = 1[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,2)[/tex]
[tex](x_2,y_2) = (4,b)[/tex]
[tex](x_3,y_3) = (a,8)[/tex]
[tex](x_4,y_4) = (6,10)[/tex]
See attachment
Solving (a): The values of a and b
First, calculate the slope of the line:
[tex]m = \frac{y_c - y_d}{x_c - x_d}[/tex]
Let c = 4 and d = 1
[tex]m = \frac{y_4 - y_1}{x_4 - x_1}[/tex]
So, we have:
[tex]m = \frac{10 - 2}{6 - 2}[/tex]
[tex]m = \frac{8}{4}[/tex]
[tex]m = 2[/tex]
To solve for the value of b, we apply slope formula
[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]
Let c = 2 and d = 1
So, we have:
[tex]\frac{y_2 - y_1}{x_2 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_2,y_2) = (4,b)[/tex]
[tex]\frac{b - 2}{2} = 2[/tex]
Multiply both sides by 2
[tex]2 * \frac{b - 2}{2} = 2 * 2[/tex]
[tex]b - 2 = 4[/tex]
Add 2 to both sides
[tex]b - 2 +2= 4 + 2[/tex]
[tex]b = 6[/tex]
To solve for the value of a, we apply slope formula
[tex]\frac{y_c - y_d}{x_c - x_d} = m[/tex]
Let c = 3 and d = 1
[tex]\frac{y_3 - y_1}{x_3 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] ; [tex](x_3,y_3) = (a,8)[/tex]
[tex]\frac{8 - 2}{a- 2} = 2[/tex]
[tex]\frac{6}{a- 2} = 2[/tex]
Cross Multiply
[tex]2(a-2) = 6[/tex]
Open bracket
[tex]2a-4 = 6[/tex]
Add 4 to both sides
[tex]2a-4+4 = 6+4[/tex]
[tex]2a= 10[/tex]
Divide both sides by 2
[tex]a = 5[/tex]
Solving (b): The value of y when x = 0.
This point is represented as: [tex](x_5,y_5) = (x,0)[/tex]
Apply slope formula
[tex]\frac{y_5 - y_1}{x_5 - x_1} = m[/tex]
Substitute 2 for m and [tex](x_1,y_1) = (2,2)[/tex] [tex](x_5,y_5) = (x,0)[/tex]
[tex]\frac{0 - 2}{x - 2} = 2[/tex]
[tex]\frac{- 2}{x - 2} = 2[/tex]
[tex]-\frac{2}{x - 2} = 2[/tex]
Cross Multiply
[tex]-2 = 2 * (x - 2)[/tex]
[tex]-2 = 2 x - 4[/tex]
Collect Like Terms
[tex]4 - 2 = 2x[/tex]
[tex]2 = 2x[/tex]
Divide both sides by 2
[tex]1 = x[/tex]
[tex]x = 1[/tex]
Donna rides her bike at a rate of 19/2 mph how many miles can donna travel in 1/3 of an hour
Answer:
19/2 = 9.5. This is the speed she can ride in a single hour. At that speed, she would travel 9.5/3 miles in 1/3 of an hour. 9.5/3 = 3.1666666666666667
Step-by-step explanation:
3 people can build a shed in 8 hours.
How long would it take 5 people?
Give your answer in minutes.
Answer:
The answer is 288 minutes
10 mi
6 mi
b
What is the length of the missing leg?
b
miles
Answer:
The length of the missing leg:
b = 8 milesStep-by-step explanation:
Given
c = 10 mia = 6 miTo determine:
The length of the leg b = ?
For a right-angled triangle, with sides a and b the hypotenuse c is defined as:
[tex]c=\sqrt{a^2+b^2}[/tex]
We can find the length of the leg b using the formula
[tex]b=\sqrt{c^2-a^2}[/tex]
substituting c = 10 and b = 6 in the formula
[tex]b=\sqrt{10^2-6^2}[/tex]
[tex]b=\sqrt{100-36}[/tex]
[tex]b=\sqrt{64}[/tex]
[tex]b=\sqrt{8^2}[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
[tex]b=8[/tex] mi
Therefore, the length of the missing leg:
b = 8 milesA hall measures 12 metres long,
10 metres wide and 4 metres high.
What is the surface area of the
walls?
A 480 m2
B 176 m2
C.88 m2
D. 416 m2
[tex]\huge\sf\red{Answer : - }[/tex]
Given :- Length of the hall = 12mwide of the hall (Breadth) = 10mHeight of the hall = 4mTo Find :- Surface area of the walls (Four walls area)Formula :-Four walls area of the hall = 2h(l+b)
where,
h = height l = lengthb = breadthSolution : -By substituting values according to the formula,
➙ 2 × 4m(12m + 10m)
➙ 8m(22m)
➠ 176m²
It's option B
Hence, The surface area of the walls is (B) 176m²Compare and contrast the 3 triangle congruency ASA, AAS and SAS.
Answer:
ASA and AAS are two postulates that help us determine if two triangles are congruent. ASA stands for “Angle, Side, Angle”, while AAS means “Angle, Angle, Side”. ... ASA refers to any two angles and the included side, whereas AAS refers to the two corresponding angles and the non-included side
Step-by-step explanation:
A 4-pound bag of carrots costs $2.48. What is the unit price? *
Answer:
0.62 cents per pound
Step-by-step explanation:
2.48/4
to find price per pound which is the unit price
2.48/4=0.62
brainliest appreciated
At one location, the temperature increased from -7° F to 40 F between 5:00 a.m. and 9:00 a.m. By 11:00 a.m., the temperature was 3.5 times greater than the 9:00 a.m. temperature. What was the total increase in temperature between 5:00 a.m. and 11:00 a.m., in degrees Fahrenheit?
Answer:
the answer is 82 F add the temperature together
The total increase in temperature between 5:00 a.m. and 11:00 a.m., in degrees Fahrenheit, is 164.5°F.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that at one location, the temperature increased from -7° F to 40 F between 5:00 a.m. and 9:00 a.m. By 11:00 a.m., the temperature was 3.5 times greater than the 9:00 a.m. temperature.
The temperature will be calculated as,
Temperature = ( 40 - (-7) x 3.5
Temperature = 47 x 3.5
Temperature = 164.5°F
To know more about an expression follow
https://brainly.com/question/18365386
#SPJ2
below is a map of homes in a neighborhood what is the angle relationship between georgas and johns house
Answer:
Vertical Angles, the other answers are wrong, as they represents other angle orientations
A water tank fills as shown in the graph below. What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
What is the probability of the complement of spinning an even number by using the spinner below?
A spinner is split into 8 equal parts labeled 1, 2, 3, 4, 1, 2, 3, 5.
StartFraction 3 over 8 EndFraction
One-half
StartFraction 5 over 8 EndFraction
StartFraction 7 over 8 EndFraction
Answer:
C
Step-by-step explanation:
Byron earned some money mowing the neighbor's lawn. He spent one-fourth of his money to see a movie. Then he spent $6.00 on popcorn and drinks. When he went home, he had $24.00 left. How much did Byron earn mowing the neighbor's lawn? Byron earned $ .00 mowing the neighbor's lawn.
Answer:
$40
Step-by-step explanation:
Let y represent the amount of money that Byron earned mowing the neigbours's lawn.
Since he spent one fourth of his money to see a movie, it means that the amount spent to see a movie would be y/4
Them he spent $6 on porpcon and drinks; which means that the total amount spent
= y/4 + 6
The amount left would be
y - (y/4 + 6) = y - y/4 - 6
When he went home, he had $24.00 left which means that;
y - y/4 - 6 = 24
y - y/4 = 24 + 6
3y/4 = 30
Cross multiply
3y = 120
y = $40
Therefore, Byron earned $40 mowing the neighbour's lawn.
Answer:
40 give him brainliest
Step-by-step explanation:
I dont understand pls help me
Answer:
the answer is the option B 35
Step-by-step explanation:
first, add 4 and 3. you will get 7. Next, multiply 7 by 5 and you will get the answer :35
[tex]5(3 + 4) \\ 5(7) \\ 35[/tex]
Which inequality is NOT satisfied by this table of values?
Answer: y < -2x-4
Step-by-step explanation:
Answer:
I hope this helps
Answer: y < x-1
Step-by-step explanation:
You drop a ping pong ball into a measuring cup. The water started at 200 mL but after you drop the ping pong ball the water rises to 400mL. What is the volume of the ping pong ball?
Answer:
200
Step-by-step explanation:
need rn! worth 25 points (you MUST answer BOTH questions) 谢谢你！
Answer:
Number 1 - 3 terms (B)Number 2 - 2nd and 3rd optionsNumber 1 Explanation:
Terms are separated by addition or subtraction signs.There are three parts separated by two addition/subtraction signs.That means there are three terms.Number 2 Explanation:
Polynomials can't have negative exponents.Polynomials can't have fractional exponents on variables or roots of variables.For the first option, [tex]\frac{1}{x}[/tex] can also be written as [tex]x^{-1}[/tex], so it has a negative exponent and is not a polynomial.The second and third options follow polynomial rules.The fourth option has [tex]x^{\frac{1}{2} }[/tex], which is the same thing as [tex]\sqrt{x}[/tex]. Polynomials can't have roots of variables (or fractional exponents on variables), so this isn't a polynomial.Someone help ASAP plssss
Answer:
49
Step-by-step explanation:
you are given the hypotenuse of 60 and a leg of 35
a^2 + b^2 = c^2
35^2 + b^2 = 60^2
1225 +b^2 = 3600
-1225 -1225
2375
B^2 = square root 2375
48.73 round up to 49