Answer:
We have the relation:
1ft = 12 inches.
Then, if we cube both sides, we have:
(1ft)^3 = (12 in)^3
1ft^3 = 288 in^3.
Now we know that:
The bucket is 864 in^3
The tank is 7 ft^3.
knowing that 1 ft^3 = 288in^3
Then 7 ft^3 is seven times that:
7ft^3 = 7*(1ft^3) = 7*(288in^3) = 2016 in^3
Now the number of buckets needed to completely fill the tank is:
N = (2016 in^3)/(864in^3) = 2.33
So you need 2.33 buckets, or we can round it up to 3 buckets, where the third bucket will have some water inside it when the tank is completely filled.
There was 3/4 of a pizza left over from a party. The next day, Bob ate half of what was left. How much of a whole pizza did Bob eat?
Answer:
2 and 1/2 if he ate the 1/4th also but if he just ate the half of the 3/4 its 1 and 1/2
Step-by-step explanation:
What is the sum of 2/3 + (-1/3) in fraction form?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{1}{3}}}}}} [/tex]
Step-by-step explanation:
[tex] \sf{ \frac{2}{3} + ( - \frac{1}{3} )}[/tex]
We know that [tex] \sf{( + ) \times ( - ) = ( - )}[/tex]
[tex] \dashrightarrow{ \sf{ \frac{2}{3} - \frac{1}{3}} }[/tex]
While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.
[tex] \dashrightarrow{ \sf{ \frac{2 - 1}{3}}} [/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ \frac{1}{3}}}} [/tex]
Hope I helped!
Best regards! :D
The sum of 2/3 + (-1/3) in fraction form is 1/3 after applying the arithmetic operation, the answer would be 1/3.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
The number expression is:
= 2/3 + (-1/3)
= 2/3 - 1/3
Taking 3 as LCM
After simplification:
= (2 - 1)/3
= 1/3
Thus, the sum of 2/3 + (-1/3) in fraction form is 1/3 after applying the arithmetic operation, the answer would be 1/3.
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You are shopping for T-Shirts on your favorite site. You choose 3 shirts, and the site
tells you they will cost $15.50 each, and shipping will cost $12.60
The website then suggests you can save some money by buying a 4th shirt, because
the cost per shirt will reduce to $14.00 each, AND shipping will be free.
How much money will you save by buying 4 T-Shirts?
Your answer will be a positive decimal value. You do NOT NEED the $ sign.
Answer:You will be saving $3.10
Answer:
Step-by-step explanation:
3 T-Shirts price= 15.50
mean 1 T-Shirt price=5.16
3 T-Shirts shipping=12.60
mean 1 T-Shirt Shipping=4.2
If I get 4 then
4 T-Shirts price will be 5.16 x 4 = 20.65
4 T-Shirts shipping will be 4.2 x 4 = 16.8
Total cost will be = 37.45
So Company offers
4 T-Shirts in 14$ with free shiping
you will save 23.45
3x + 2y + -2x + 8y pls help
x+10y
Step-by-step explanation:3x+2y+(-2x)+8y
First of all you cannot substitute x with y, so what u do u make the numbers with the same letters they have,and I put -2x because + & - equals to -(minus) :-
3x-2x+2y+8y= x+10y
I don't add 1 to x coze when x alone stands for 1, I added +10y because both the y equations had + they were positive so I add a +.
Hope it helps-2x+5=24 I need help!!!
Answer:
[tex]x=-\frac{19}{2}[/tex]
Step-by-step explanation:
hope that was the answer you were looking for :/
Answer:
x = -19/2
Step-by-step explanation:
[tex]-2x+5=24[/tex]
Then subtract 5 from 24
[tex]-2x=19[/tex]
Then divide -2 by 19 to get:
[tex]x = -\frac{19}{2}[/tex]
Hope this helps!
Bryan has a prepaid cell phone with a balance of $75. He is charged the same rate per minute. Which function represents the balance on the phone after (n) minutes?
Answer:
36 minutes
Step-by-step explanation:
i have a different saying this so dont get mad
write the mixed number 11 1/6 as a decimal
Answer:
11.1667
Step-by-step explanation:
11 1/6
11*6+1
=67/6
=11.1666666666
=11.1667
Harry and Jenny are going to the movies. They each bought a medium popcorn, and Harry got a small soft drink. Jenny had a $4 coupon as a discount, and Harry paid the rest, which came to $23. A movie ticket costs $8, and a medium popcorn costs $4.50. What was the cost for a soft drink?
Answer:
2$
Step-by-step explanation:
2 medium popcorns = 9$
2 Movie tickets = 16$
One coupon = -4$
This is equal to the cost without the soft drink(21$)
23$ - 21$ = 2$
Answer:
$2
Step-by-step explanation:
It was originally $27 but, Jenny used a $4 coupon. Each movie ticket costs $8, each popcorn cost $4.50.
1. Start from the cost of each item.
8+8=16 (cost of the tickets)4.50+4.50=9 (cost of the popcorn) .2. Add the totals together.
16+9+ 25
Now subtract 25 from the original amount.
27-25=2
It costs 2 dollars for a soft drink.
Solve for the equation for x 3x+y/=2
rote x+18=x-2 what is the answer
Answer:
no solution
Step-by-step explanation:
Given
x + 18 = x - 2 ( subtract 18 from both sides )
x = x - 20 ( subtract x from both sides )
0 = - 20 ← not possible
This indicates the equation has no solution
the diving distance between manchester and london is 195 miles faris inteneds to travels from manchester to london by coach the coach will leave manchester at 3.30 pm faris assumes that the coach will travel at an average speed of 50 mph work out farris arrival time in london
Answer:
Faris' arrival time = 3:30 pm + 3 h 54 mnt = 7:24 pm
Answer:
19.24
Step-by-step explanation:
An ice cream truck drive truck driver made $23 in one hour. She the spent $35 for gas. What is the difference?
Answer:
$12
Step-by-step explanation:
Step 1:
$35 - $23
Answer:
$12
Hope This Helps :)
Determine which of the following statements about rigid transformations is false.
Question 5 options:
In a translation, the segments joining points of the pre-image and their images are perpendicular.
In a reflection, the segments joining points of the pre-image and their images are perpendicular to the line of reflection.
In a rotation, the points of the pre-image are always the same distance away from the center of rotation as the corresponding points of the image.
In a reflection, the points of the pre-image are always the same distance away from the line of reflection as the corresponding points of the image.
Answer:
The false statement about rigid transformation is;
In a translation, the segments joining points of the pre-image and their images are perpendicular
Step-by-step explanation:
The direction of a rigid transformation involving a translation can vary from changes in the values of one of the two coordinates of the vertex points in the figure with the same change value for all the vertices or
The translation can also be made by changing the values of both coordinates of the vertex each coordinate having equal value of change which may be different from the value of change of the other coordinate, maintaining the size of the figure.
In the second case, the translation can be in other directions other than vertical or horizontal, such that, the segments joining the points of the pre-image with the corresponding point on the image are parallel.
The false statement about rigid transformation is;
In a translation, the segments joining points of the pre-image and their images are perpendicular
The direction of rigid transformation:It includes a translation that could be varied from changes in the values of one of the two coordinates of the vertex points having the same change value for all the vertices. The translation could also be made via changing the values of both coordinates of the vertex every coordinate that contains the equal value of change.
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for line segment ac, point b is between points a and c. points abc are collinear. if ab=x-7, bc=2x-2, and ac=x+13. solve for bc
Answer:
BC = 20Step-by-step explanation:
Point B is between points A and C and points A, B, C are collinear so
AB + BC = AC
x-7 + 2x-2 = x + 13
3x - 9 = x + 13
+9 +9
3x = x + 22
- x - x
2x = 22
BC = 2x - 2 = 22 - 2 = 20
Describe the steps of constructing a segment that is TWICE as long as the given segment BD.
Answer:
See below
Step-by-step explanation:
From the segment BD, I will consider the point B as the begin and D as the end of the vector, therefore [tex]\overrightarrow{BD} = \vec{v}[/tex]
Once you want a segment that is twice as long as the given segment, we may say that the magnitude of the vector is
[tex]||2\vec{v} || = \sqrt{(2x)^2 + (2y)^2} = \boxed{ \sqrt{4x^2 + 4y^2} }[/tex]
Note: I'm assuming [tex]\vec{v} \in E^2[/tex], which means the segment is in the plain.
Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 40 hours and earned $495.60 enter and solve an equation to find julios hourly rate, r. Complete the explanation how you know that your answer is reasonable
Answer: $10.33
Step-by-step explanation:
Given: Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week.
Last week he worked 40 hours ( > 30 hours by 10 ) and earned $495.60.
Let r = Julio's hourly rate
if he worked over 30 hours in a week, then hourly rate = 1.2r
According to the question
[tex](1.2r)\times 40=495.60\\\\\Rightarrow\ r=\dfrac{495.60}{1.2\times 40}\\\\\Rightarrow\ r=10.325\approx10.33[/tex]
Hence, his hourly rate = $10.33
In February, Paul's electric bill was three dollars more then one-half his gas bill. If the electric bill was ninety-two dollars, what was the gas bill?
Answer:
49$
Step-by-step explanation:
How do you do #14abc?
Answer:
220 10 4
Step-by-step explanation:
Keith had two hundred sixteen dollars to spend on six books. After
buying them he had eighteen dollars. How much did each book cost ? _____________
Answer:
$34.66
Step-by-step explanation:
216-8= 208 divided by 6 = 34.666666
Answer: 33$ each
Step-by-step explanation:
you start by subtracting 18 from 216 to get rid of the leftover money.
you'll have ended up with the number 198
divide 198 by 6 and that will be your answer.
What is the volume of a rectangular prism with l = 412 cm, w = 312 cm, and h = 6 cm?
Answer:
Step-by-step explanation:
V = l · w · h
V = (412)(312)(6)
V = (1872)(412)= 771,264 cm^3
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{771264 \: \: {cm}^{3} }}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: length \: of \: a \: rectangular \: prism(l) = 412 \: cm}}[/tex]
[tex] \star{ \sf{ \: width \: of \: a \: rectangular \: prism \: ( \: w \: ) = 312 \: cm}}[/tex]
[tex] \star{ \sf{ \: height \: of \: a \: rectangular \: prism \: ( \: h \: ) = 6 \: cm}}[/tex]
Finding the volume of a rectangular prism having length ( l ) of 412 cm , width ( w ) of 312 cm and height ( h ) of 6 cm :
[tex] \bold{\boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}}[/tex]
[tex] \hookrightarrow{ \sf{volume \: of \: a \: rectangular \: prism \: = 412 \times 312 \times 6}}[/tex]
[tex] \hookrightarrow{\boxed{ \sf { volume \: of \: a \: rectangular \: prism = 771264 \: {cm}^{3} }}}[/tex]
Volume of a rectangular prism = 771264 cm³
Hope I helped!
Best regards! :D
~TheAnimeGirl
What is
2
- ---- x times 15
3
If you are asking what 2/3 times 15 is its 10
Mr. Alfred’s car gets 12 miles per gallon. He drives to West Harlem for a weekend to visit his grandmother. He uses 6 gallons of gas. How many miles did he drive?
Answer:
72 miles.
Step-by-step explanation:
If he uses 6 gallons of gas, you would do 6 (gallons he used) x 12 (miles per gallon) equaling 72.
How many cm in 92.4 inches?
Thank you!
Answer:
234.696 cm
Step-by-step explanation:
Answer: 234.696
Step-by-step explanation:
1 inch = 2.54 centimeters so
92.4 times 2.54 is 234.696
Find the distance between the points (6, 9) and (0, 1).
Write your answer as a whole number or a fully simplified radical expression. Do not round.
units
Answer:
D= 10
Step-by-step explanation:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(0-6)^2+(1-9)^2}\\d=\sqrt{(-6)^2+(-8)^2}\\d=\sqrt{(36)+(64)}\\d=\sqrt{100}\\d=10[/tex]
What is the absolute value of –7.5?
Answer: 7.5
Step-by-step explanation:
Absolute value is the distance from 0.
-7.5 is is 7.5 units away from 0.
Which fraction has a repeating decimal as its decimal expansion?
3/25
3/16
3/11
3/8
Answer:
3/11
Step-by-step explanation:
3/11 equals 0.272727273 which is a repeating decimal.
Answer:
3/11 is C
Step-by-step explanation:
The sum of 5x+y and (2xy + xy) is
8x^2y
6x^2y+2xy^2
7xy^2+x^2y
15x^2y
Which is a “monomial? or binomial
W/-4 + 17=9. Solve for w what is w
Answer:
w=-32
Step-by-step explanation:
Answer: w=32
Step-by-step explanation:
Given
w/-4 + 17=9
Subtract 17 on both sides
w/-4 + 17 - 17=9-17
w/-4=-8
Multiply -4 on both sides
w/-4 × -4=-8×-4
w=32If a gold bar has a length of 17.78 cm, a width of 9.208 cm, a height of 4.445 cm, and the density of gold is 19.3 g/cm^3, what is the
mass of the gold bar. Answer with the correct number of significant figures. Use the rounding rules.
A. 1.40x10^4 grams
B. 14 040 grams
C. 14 045.142 grams
D. 14 045 grams
Answer:
17.78×9.208×4.445=727.7275768
D=mass÷volume
mass=density×volume
mass=19.3g/cm3×727,7275768=14045,14223224=14045grams
Here is a system of linear equations:
6x+21y=103
-6x+23y=51
Would you rather use subtraction or addition to solve the system? Explain your reasoning.
Step-by-step explanation:
6x + 21y = 103
-6x + 23y = 51
The signs of the x coefficients are opposite. So adding the equations will eliminate the x terms.
44y = 154
y = 3.5
Combining the equations will remove the x terms because the x coefficients have inverse signs. The solution to the given system of linear equations is x = 4.92 and y = 3.5.
What is the equation?The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.
Here is a system of linear equations:
⇒ 6x + 21y = 103
⇒ -6x + 23y = 51
Inverse signs can be seen in the x coefficients. The x terms will therefore be removed after adding the equations.
⇒ 44y = 154
⇒ y = 3.5
Substitute the value of y = 3.5 in the equation 6x + 21y = 103
⇒ 6x + 21(3.5) = 103
⇒ 6x + 73.50 = 103
⇒ 6x = 103 - 73.50
⇒ 6x = 29.50
⇒ x = 4.92
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