Suppose the volume of a rectangular shopping cart basket is 12,090 cubic inches. If the length measures 31 inches and the width measures 19.5 inches, how high is the shopping cart basket?
Answer:
[tex]\boxed {\tt h=20\ inches}[/tex]
Step-by-step explanation:
The volume of a rectangular prism can be found using the following formula.
[tex]v=l*w*h[/tex]
We know that the volume is 12,090 cubic inches, the length is 31 inches, and the width is 19.5 inches.
[tex]v= 12,090 \ in^3\\l=31 \ in \\ w=19.5 \ in[/tex]
[tex]12,090 \ in^3= 31 \ in * 19.5 \ in * h[/tex]
Multiply 31 inches and 19.5 inches.
[tex]12,090 \ in^3= 604.5 \ in^2 * h[/tex]
We are trying to find h, therefore we must isolate it. h is being multiplied by 604.5 square inches. The inverse of multiplication is division. Divide both sides of the equation by 604.5 in²
[tex]\frac{12,090 \ in^3}{604.5 \ in^2}= \frac{604.5 \ in^2 *h}{604.5 \ in^2}[/tex]
[tex]\frac{12,090 \ in^3}{604.5 \ in^2}=h[/tex]
[tex]20 \ in =h[/tex]
The height of the shopping basket is 20 inches.
Sonya buys four pairs of shoes on sale for buy one, get one 50% off. The sales tax is 6.5%. If the original price for each pair of shoes was $35, how much does Sonya pay for the four pairs altogether?
Answer:
$111.83
Step-by-step explanation:
2 pairs would be original price (35) and 2 would be half off (17.5)
35 + 35 + 17.5 + 17.5= $105
sales tax = 6.5 %
$105 * 6.5 % = 6. 825
$105 + 6.825= 111.825
round up since you cant have 825 cents
$111.83
What’s the answer 40=16-8r ?
Answer:
-3
Step-by-step explanation:
40=16-8r
Subtract 16 from both sides.
24=-8r
Now divide by -8
-3=r
Answer:
-3= r
Step-by-step explanation:
40= 16- 8r
subtract 16 from both sides
40-16= 16 - 16 -8r
24= -8r
divide both sides by -8
24/-8 = -8r/-8
-3= r
Esmeralda draws a scale drawing of a rectangular community garden she helps manage. The scale factor from the drawing to the garden is 20. Based on the measurements of Esmeralda's drawing, what is the perimeter of the community garden?
Answer:
20
Step-by-step explanation:
The perimeter of the community garden is 130 unit.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
Scale factor = 20
After Scale factor the Dimension are
l = 2 1/4 x 20 = 9/4 x 20
l = 45
and, w = 1 x 20 = 20
So, Perimeter of rectangular Garden = 2( l +w)
= 2 ( 45+20)
= 2 ( 65)
= 130 unit.
Hence, the Perimeter is 130 unit.
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What’s the domain and range?
Answer:
the first component of ordered pair is domain and second component is range
Answer:
In its simplest form the domain is all the values that go into a function, and the range is all the values that come out
solve the system of equations 2x+y+z=1 2x-y-3z=-3 x-2y-4z=-2
Answer:
{x,y,z} = {2,-8,5}
i had this question before
An oak tree casts a shadow 18 feet long. If a 4 foot child casts a 3 foot shadow at the same time of day, how tall is the oak tree?
Answer:
23.99999 rounded 30
Step-by-step explanation:
4/3 x 18
What is the value of the expression below when z = 3?
6z2 + 10z + 5
Answer:
71
Step-by-step explanation:
plug in 3
6(3)2+10(3)+5
(18)2+10(3)+5
36+30+5
66+5
71
Answer:y’all it’s 89
Step-by-step explanation:
help meeeeeeeeeeeeeeeee plz
Answer:
a 10.21
Step-by-step explanation:
because 20 - 9.79 = 10.21
Answer:
the ans in the third one,
10.21, it shows the change
Step-by-step explanation:
20.00=c+9.79
so Pablo has 20.00 and he has to use 9.79
so if u add the change and the money he has to use, will be the money he has right now
so c = the change
so...
20.00=c+9.79
20.00-9.79=c
(so if u subtract the amount of money pablo has to pay from the money he has will be the change he will get)
10.21=c
how to write 53/198 as a decimal
Answer:
__
0.2676 or 0.268
Step-by-step explanation:
53 ÷198
4 y = 38 - 0.5 ( 6 y - 22 )
The answers are only sequence a, only sequence b, both, and neither. Please help its due in a minute!
Answer:
Sequence A
Step-by-step explanation:
Is this a function yes or no
Answer:
yes
Step-by-step explanation:
I think so
!!30 POINTS!!
What are all the name(s) of the segment(s) in the figure?
Answer:
A. segments RS ST RT. I CANT PUT THOSE DASHES KN TOP. THE ANSWER IS A
(5-5)^2 - (6-5)^3 simplify the expression PLEASE HELP
Answer: 15
Step-by-step explanation:
(5-1)^2 - (6-5)^3
(4)^2 - (1)^3
16-1
=15
Please help due soon
Answer:
6
Step-by-step explanation:
point D = -6
point A = 18
distance between point D and A: 18 - (-6) = 24
midpoint distance = 24/2 = 12 units away from each point
-6 + 12 = 6
18 - 12 = 6
your midpoint is at 6
Answer:
6
Step-by-step explanation:
-6 to 18 is a difference of 24. half of 24 is 12.-6 + 12 is 6 so 6 is halfway between point d and point a
PLEASE HELP QUICKLY!! I WILL MARK BRAINLIEST!!
Find the value of x:
I need help with this Algebra
Answer:
Step-by-step explanation:
f(-3) = 3(-3)^3 + 5 = 3(-27) + 5 = -81 + 5 = -76
g(4) = -4(4) - 1 = -16 - 1 = -17
Which table of ordered pair represent a proportional relationship?
Answer:
Your answer is (B.) because 2 times 5 is 10. 4 times 5 is 20. and 6 times 5 is 30, these make proportional relationships.
Step-by-step explanation: hope this help
At a carnival, Andrew went on rides and played games.
• Each ride cost $2.
• Each game cost $2.
• Andrew went on 3 rides and played g games.
Andrew wrote the expression below to represent the total
amount of money, in dollars, he spent at the carnival.
6 + 2g
Which of the following is another way Andrew could represent
the total amount of money, in dollars, that he spent at the
carnival?
a. 2 × 3g
b. 2(3 + g)
c. 4 × 3g
d. 4(3 + g)
Answer:
I thinks its b cause you have to multiply them both by 2 and add 3 and g together. hope it helps
The expression can also be 2(3 + g).
What is Expression?A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:
An absolute numerical number is referred to as a constant.
Variable: A symbol without a set value is referred to as a variable.
Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.
Coefficient: In an expression, a coefficient is a number that is multiplied by a variable.
Given:
Each ride cost $2.
Each game cost $2.
Andrew went on 3 rides and played g games.
So, the ride costs = $6
and, games costs = $2g
Andrew pay in total = 6 + 2g
= 2 (3 + g)
Hence, the expression can also be 2(3 + g).
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Combine like terms in the following equation:
18 – 5W + 7w - 4 = 28
Answer:
7
Step-by-step explanation:
Step 1:
18 - 5w + 7w - 4 = 28
Step 2:
14 + 2w = 28
Step 3:
2w = 14
Answer:
w = 7
Hope This Helps :)
Max bought two items that were both on sale one item was 10% off and one item was 20% off max says that he saved 15% althogether is he correct?
Answer:
yes
Step-by-step explanation:
No, Max was wrong about his claim. Max saved 30% altogether.
Let the first item be (a) Let the second item be (b)Discount Offer
a = 10%b = 20%For the two items, the total discount that Max saved was
= (10 + 20)%
= 30%.
Averagely, if we are to determine the average discount for each of the items, we have:
= 30% ÷ 2
= 15%
So, on each item, Max saved 15% on average.
Therefore, we can conclude that Max saved 30% altogether for the two items.
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15points+brainliest!! please help :(!
Answer:
rise 6 units up
Step-by-step explanation:
Answer:
6 units up
Step-by-step explanation:
Take a point
A is at (-6,-2)
A' is at (-6,4)
The shift is in the y coordinate of +6
This is a vertical shift
Is -8.43 a integer whole number or a rational number ?
Answer:
rational number
Step-by-step explanation:
A whole number would be just 8. Nothing behind it.
Add. Simplify, if possible. Help please.
Answer: A
Step-by-step explanation:
To add fractions, we want to make sure there is a common denominator. After that, we can add the numerator.
[tex]\frac{8}{z^2+6z+9} +\frac{5}{z^2-9}[/tex] [factor denominator]
[tex]\frac{8}{(z+3)(z+3)} +\frac{5}{(z+3)(z-3)}[/tex] [multiply first fractioni by z-3 and second by z+3]
[tex]\frac{8(z-3)}{(z+3)^2(z-3)} +\frac{5(z+3)}{(z+3)^2(z-3)}[/tex] [distribute by FOIL]
[tex]\frac{8z-24}{(z+3)^2(z-3)} +\frac{5z+15}{(z+3)^2(z-3)}[/tex] [add]
[tex]\frac{13x-9}{(z+3)^2(z-3)}[/tex]
This is the same as A. Therefore, A is our answer.
Help me PLEASE thank you
Answer:
top question is the 4th choice.
Step-by-step explanation:
Mike and Teegan each measured the volume of the 16-ounce bottle three times. They recorded their measurements as shown. Mike: 16.4 oz, 15.2 oz, 15.8 oz Teegan: 16.34 oz, 16.59 oz, 15.13 oz Which statement is true? Mike's measurements are more precise and more accurate. Teegan's measurements are more precise and more accurate. Mike's measurements are more precise, but Teegan's measurements are more accurate. Mike's measurements are more accurate, but Teegan's measurements are more precise.
Answer:
The correct option is;
Mike's measurement are more precise and more accurate
Step-by-step explanation:
The given information are;
The mass of the measured bottle = 16-ounce
The record of the measurements made by Mike are;
16.4 oz
15.2 oz
15.8 oz
The record of the measurements made by Teegan are;
16.34 oz
16.59 oz
15.13 oz
From the two measurements, we have;
The precision of a measurement depends on how close the values of the measurement are to one another, therefore, we have;
For Mike, the precision is given as follows
16.4 - 15.2 = 1.2
16.4 - 15.8 = 0.6
15.8 - 15.2 = 0.6
Total difference = 1.2 + 0.6 + 0.6 = 2.4
For Teegan , the precision is given as follows
16.59 - 16.34 = 0.25
16.59 - 15.13 = 1.46
16.34 - 15.13 = 1.21
Total difference = 0.25 + 1.46 + 1.21 = 2.92
Therefore, Mike's measurements are more precise than Teegan's measurements
The accuracy of the measurement is the amount of closeness the measurements are to a given value
In the question, the given value is 16-ounces of the volume of the bottle
Therefore, by the mean absolute deviation from the 16-ounce of the bottle, we have;
For Mike;
[tex]Mean \ absolute \ deviation = \dfrac{\left | 16.4 - 16 \right | + \left | 15.2 - 16 \right | + \left | 15.8 - 16 \right | }{3} = 0.533[/tex]
For Teegan, we have;
[tex]Mean \ absolute \ deviation = \dfrac{\left | 16.34 - 16 \right | + \left | 16.59 - 16 \right | + \left | 15.13 - 16 \right | }{3} = 0.6[/tex]
Therefore, Mike's measurement is more accurate than Teegan's measurement.
Which gives;
Mike's measurement are more precise and more accurate.
Answer:
Mike’s measurements are more accurate, but Teegan’s measurements are more precise.
Step-by-step explanation:
Please please help its urgent and i dont understand!!
Answer:
m<STW
Step-by-step explanation:
The m<4 is the vertex which is also T.
You can answer it with m<T but since there is lots of there, just to be more specific m<STW would be the answer.
The vertex's letter (the dot that is always in the middle of the angle where the ends of line connects) is always in the middle. You can switch the S or W if you like. it doesnt matter.
Please help me answer all the questions
Answer:
3. -6m-18
4. -6z+1
5. -5x-1
6.-x-4
7. ba-6b
8. 21ab-14ac+28a
9. 4x+1
10. 1/6x-4
Step-by-step explanation:
1 5/8 + 1 1/3 - 5/6 i need help
43. 3
------ or 5-------
8. 8
Step-by-step explanation:
Firstly Find the LCM
15. 11. 5
---- +. ---- - ----
8. 3. 6
45 + 88
-------------
24
i.e = 133. 5
--------- - ------
24. 6
133. - 4
--------------------
24
therefore. 129
--------
24
43. 3
------ or 5-------
8. 8