Answer:
8th Person = 172 cm tall
Step-by-step explanation:
( a + b + c + d + e + f + g )/7 = 156
a + b + c + d + e + f + g = 1092 total size
----------------------------------------------------------
now they measured 8 people (a + b... g) + h, but we know the total size of the other 7 = 1092
a + b + c + d + e + f + g + h
( 1092 + h )/8 = 158
1092 + h = 158*8
h = 1264 - 1092
h = 172
-----------------------------------
the 8th person is 172 cm tall
Can someone help me please
Answer:
The Area of the shaded region :
(x²)(4x-1) - (5x)(x+7) =
4x³ - x² - 5x² - 35x =
4x³ - 6x² - 35x
Look at this set of 7 numbers:
6 9 3
6 8
6 3
By how much would the range increase if the number 5 replaced the number 8 in the set?
Answer:
no increase
Step-by-step explanation:
the range is the difference between the largest and smallest values in the data set.
largest value = 9 and smallest value = 3 , then
range = 9 - 3 = 6
replacing 8 by 5 has no effect on the above 2 values , so no change
Answer:
The range would stay the same.
Step-by-step explanation:
The old set is 6 9 3 6 8 6 3
- range is 9-3 = 6.
The new set is 6 9 3 6 5 6 3
which has a range of 9 - 3 = 6.
Alice has a total of 12 dimes and nickels. She has 2 more nickles than dimes
The total number of nickles that Alice has got for this case is 14. The total amount of money from those nickle and dimes that Alice hold is $1.9
What are nickles, dimes, quarters and cents?A dollar is further divided into some majorly used parts as:
A cent = 100th part of a dollar = $1/100 = $0.01A nickle= 20th part of a dollar = $1/20 = $0.05A dime = 10th part of a dollar = $1/10 = $0.10A quarter = 4th part of a dollar = $1/4 = $0.25How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we're specified that:
Alice has a total of 12 dimes and nickels.She has 2 more nickles than dimesSuppose that she has got 'x' nickles.
Then, as it is given that she has 2 more nickles than dimes, therefore, we get:
number of nickles = 2 + number of dimes
x = 2 + 12 = 14
Thus, Alice has got 12 dimes and 14 nickles.
1 dime = $0.1 12 dime = [tex]12 \times 0.1 = \$1.2[/tex]Similarly, we have:
1 nickle = $0.0514 dime = [tex]14 \times 0.05 = \$0.7[/tex]Thus, the total amount of money she got is $1.2 + $0.7 = $1.9
Thus, the total number of nickles that Alice has got for this case is 14. The total amount of money from those nickle and dimes that Alice hold is $1.9
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3 3/4 ÷ (1 2/3 + 2 1/2)
Answer:
9/10.
Step-by-step explanation:
3 3/4 ÷ (1 2/3 + 2 1/2)
= 3 3/4 / ( 5/3 + 5/2)
= 3 3/4 / ( 10/6 + 15/6)
= 3 3/4 / 25/6
= 15/ 4 / 25/6
= 15/4 * 6/25
= 90/100
= 9/10.
A three-dimensional model of lucia’s apartment is shown. to cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. a rectangular prism is shown. the rectangle has sides lengths of 20 feet and 48 feet. the height of the prism is 10 feet. a smaller rectangular prism is cut out of the side. it has side lengths of 9 feet and 16 feet and a height of 10 feet. how many btus are needed to cool lucia’s apartment? 19,600 btus 19,800 btus 20,400 btus 24,000 btus
The number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
What is of volume of rectangular prism?Volume of rectangular prism is the amount of quantity, which is obtained in it in the 3 dimensional space.
Volume of a rectangular prism is the product of its width, height and length.
[tex]V=w\times h\times l[/tex]
Here, (w) is the width of the base (l) is the length and (h) is the height of the rectangular prism.
A three-dimensional model of Lucia’s apartment is shown. The image is attached below for the apartment. The three section are there in the apartment. The volume of this apartment is,
[tex]V=[(20\times12)+(20-9)\times16+(20\times20)]\times10\\V=8160\rm\; ft^3[/tex]
To cool the whole apartment, an air conditioner must provide 2.5 btus per cubic foot. To cool, the 8160 cubic foot apartment the btus needed are,
[tex]n=8160\times2.5\\n=20400\rm\; btus[/tex]
Hence, the number of btus which are needed to cool Lucia’s apartment shown in the three-dimensional model are 20,400 btus.
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Answer:
20,400 BTUs
Step-by-step explanation:
The length of cassidy's bed is 9 1/4 if the area of the comforter is 69 3/8 square feet what is the width of the comforter
area of triangle = W × B
area of a triangle is = 552/8
552/8 = 37/4 × W
552/8 = 37W/4
8•37W = 4•552
296W = 2208
W = 7.5
width : 7.5 feet
Explanation:
area of rectangle : Length * Width
Given,
area : 69 3/8length : 9 1/4solve:
[tex]\rightarrow \sf 69\dfrac{3}{8} = 9\dfrac{1}{4} * Width[/tex]
[tex]\rightarrow \sf \dfrac{69.375}{9.25} = width[/tex]
[tex]\rightarrow \sf width = 7.5[/tex]
Mark and Henry win some money and share it in the ratio 1:3. Mark gets £9. How much did Henry get?
Answer:
£27
Step-by-step explanation:
1:3 = M:H
Mark gets £9
1 = £9
3: £9 x 3 = £27
Answer: the answer is £27
Step-by-step explanation: it is related to ratio if mark gets 9 so 9 times 3 . Equals to 27 . You can make criss cross way . 1 won't make the answer different. Hope it helps
please please me please
Answer:
3
Step-by-step explanation:
it is 3 because if the x value is 5 then the y value is 3
4³root192-4³root375 +2³root 24. find the simplify
Answer:
512√3 - 320√15 + 16√6
Step-by-step explanation:
4^3√192 simplified is 64√192. This can be simplified even further to 512√3. 4^3√375 simplified is 64√375, which is 320√15. 2^3√24 simplified is 8√24, which is 16√6. Therefore the answer is 512√3 - 320√15 + 16√6.
Sally needs to wrap a birthday gift. The gift has a length of 15 in, a width of 13 in,
and a height of 9in. Use the Surface Area formula for a Rectangular Prism to figure
out how much wrapping paper Sally will need to wrap the gift. Write a paragraph,
using the RACE format, explaining how you got your answer.
Answer:
849in 2
Step-by-step explanation:
sally needs to wrap a birthday gift.
the surface area of the gift is 894 in 2.
the formula for surface area of a rectangular prism is S = 2(lw + lh + wh).
to use the formula . i added (lw + lh+ wh) then multiplied it by 2 . so sally will need 894in2 of wrapping paper for the gift.
Mark is proving the Pythagorean Theorem. He drams right triangle KL with altitude JM First he proves JKLAMK) and JKL-MIL ssing the Angle-Angle criterion. The
rest of his groot is shown with some steps missing
HELP PLSSSSS ASAP
Answer:
a)
Step-by-step explanation:
Given: Step 3
(JK)² = LK · MK and (LJ)² = LK · ML
Step 4
Addition property of equality
(JK)² + (LJ)² = LK · MK + LK · ML
Step 5
Distributive property
(JK)² + (LJ)² = LK (MK + ML)
Option A
addition property of equality
a^2=bcd^2=efSo
a^2+d^2=bc+efAnd
Distributive property
a(b+c)=ab+bcHence option A is correct
Combine like terms to create an equivalent expression87 m+ 109 −2m− 53
What is the smallest number by which 256 may be divided so that the quotient is perfect cube?
Answer:
The smallest number by which 256 must be divided so that the quotient is a perfect cube is 4.
Step-by-step explanation:
9 markers cost $7. 50. How much would 7 markers cost
Answer:
5.83
Step-by-step explanation:
9 / 7.50 = 0.833(repeating)
8.33(repeating) * 7 = 5.833(repeating)
Simplify 5.833(repeating)
Answer:
5.83
Step-by-step explanation:
Please helpppp neeed doneeee asappp
Answer:
abnormal condition of sardines
Step-by-step explanation:
what?
A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty 1-square-foot sections of fabric are randomly selected and cut from different bolts of fabric. They are then subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly greater than the mean rating for detergent B.
Which of the following is a valid conclusion?
Inferences can be made about the population of fabric from which the pieces were cut. The conclusion can be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences cannot be made about the population of fabric from which the pieces were cut. The conclusion can be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences can be made about the population of fabric from which the pieces were cut. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences cannot be made about the population of fabric from which the pieces were chosen. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
The conclusion about the detergents in the sampling is D.Inferences cannot be made about the population of fabric from which the pieces were chosen.
What is sampling?Sampling is the selection of a subset of individuals that are gotten from a statistical population in order to estimate the characteristics of the whole population.
In this case, inferences cannot be made about the population of fabric from which the pieces were chosen. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
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help me please i need help
Answer:
72
Step-by-step explanation:
1 large cube is 2 x 3 cubes equals 6
length is 3 x 4 x 2 = 24
24 x 3 = 72 for each layer
72 x 2 = 144 smaller cubea
13. What is the equation in standard form of the circle
represented by
x2 + y2 - 10x - 6y = 23?
A (x+5)2+(y + 3)2 = 23
B. (x + 5)2+(y + 3)2 = 57
C. (x-5)+(y - 3)2 = 23
D. (x - 5)2+(y - 3)2 = 57
The standard form of a circle shows the center and the radius
The equation of the circle in standard form is (x + 5)^2 + (y - 4)^2 = 57
How to determine the equation?The standard equation of a circle is:
(x - a)^2 + (y - b)^2 = r^2
Where:
Center= (a,b)
Radius = r
Assume that:
(a,b) = (-5,3)
r = [tex]\sqrt{[/tex]57
The equation of the circle would be:
(x + 5)^2 + (y - 4)^2 = ([tex]\sqrt{57[/tex])^2
Evaluate the exponent
(x + 5)^2 + (y - 4)^2 = 57
Hence, the equation of the circle in standard form is (x + 5)^2 + (y - 4)^2 = 57
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does somebody know how to find area of a trapizoid???
Answer:
To find the area of a trapezoid, multiply the sum of the bases (the parallel sides) by the height (the perpendicular distance between the bases), and then divide by 2.
Step-by-step explanation:
:) Hope this helps you with what you're working on!
Answer:
well, here's the formula!
Step-by-step explanation:
area = (1/2) · (p + q) · h
Please answer number 6. Thank you.
PLS HELP
what is the length of side s of the square shown below ?
Answer:
[tex]\sqrt{2}[/tex] A.
Step-by-step explanation:
There's a few ways you can go about solving this, but the way I would go with is using sine law.
Sine law:
[tex]\frac{sinA}{a} = \frac{sinB}{b}[/tex]
in the equation above 'A' an angle, and 'a' would be the length of the side opposite to it. Same thing for B.
You are given the angle 90 degrees, and its opposite side length is 2.
You are also given 45 degrees from one of the corners but it doesn't tell you its side length.
There is one corner where it doesn't tell you the angle but you can figure it out using the law that the angles in a triangle must add up to 180 degrees.
So you subtract the other angles to find the angle of the bottom right angle.
180-90-45 = 45
The reason we want to find that angle, is so we can use sin law to find s.
Write down what you have so far:
[tex]\frac{sin90}{2} = \frac{sin45}{s}[/tex]
Now all you need to do is solve for s.
[tex]\frac{sin90*s}{2} = \frac{sin45}{1}[/tex]
sin 90 is 1.
[tex]\frac{1*s}{2} = sin45\\ \\s = 2*sin45\\\\[/tex]
Now since the answers available are in exact values, you can't just punch this in your calculator.
[tex]sin45 = \frac{\sqrt{2} }{2}\\ \\[/tex]
so,
[tex]s = 2*\frac{\sqrt{2} }{2} = \sqrt{2}[/tex]
factorise: 6x^2 – 5 x – 6
Step-by-step explanation:
I think it will help you.
Look at the example
Let's use mid-term splitation
[tex]\\ \rm\rightarrowtail 6x^2-5x-6[/tex]
[tex]\\ \rm\rightarrowtail 6x^2+4x-9x-6[/tex]
[tex]\\ \rm\rightarrowtail 2x(3x+2)-3(3x+2)[/tex]
[tex]\\ \rm\rightarrowtail (2x-3)(3x+2)[/tex]
How many triangles can be constructed with side lengths of 1. 8 cm, 3. 4 cm, and 5. 6 cm?
0
1
more than one
please explain your answer
Answer:
0.
Step-by-step explanation:
1.8 + 3.4 = 5.2.
The sum of two sides is less than the length of the third side (5.6 cm) so the answer is 0 triangles,
A^2+5A+4 (A=-5). Evaluate the expression
Answer:
4
Step-by-step explanation:
First, rewrite the equation with -5 substituted for A: (-5)^2 +5(-5) +4
Next, simplify that equation: 25 -25 +4
Simplify this further: 4
When A=-5, the solution is 4.
At noon, the temperature outside was 25 degrees. By 8:00pm, the temperature had dropped 27 degrees. What was the temperature outside at 8:00pm, in degrees?
Answer:
-2
Step-by-step explanation:
25°-27°= -2°
At noon, the temperature outside was 25 degrees. By 8:00pm, the temperature had dropped 27 degrees. What was the temperature outside at 8:00pm, in degrees?
= 25 - 27
= - 2°
I NEEED HELLPPP write this using exponents question
Answer:
D. [tex](-2)^6[/tex]
Step-by-step explanation:
There are six (-2), so it would be D. since C. would just mean [tex]2^6[/tex] and turn that negative.
You can check using a calculator that (-2)(-2)(-2)(-2)(-2)(-2) would equal 64 while C. equals -64. So the correct answer would be D.
Samir recorded the number of different types of pets his friends have in the table shown below:
Cats 2
Dogs 4
Rabbits 1
Guinea Pigs 4
Which of the following plots represents the data in the table?
HELP ME PLEASE
PRETTY PLEASEEEEEEEEEEE
Answer:
4/5
Step-by-step explanation:
Here is how to solve:
We start with a term called Rise over Run. We rise up 4. We then will run to the right 5. We have a slope of 4/5x. If the line is going up, then it will be a positive slope. If the line is going down., then it will be a negative slope. So, the line is going up, so it would be a positive 4/5x
Answer:
Positive slope or (2,3)_(-3,-2)
Step-by-step explanation:
I don't find your question very clear, but I have two possible answers for you.
Positive slope, the type/name of the slope.
(2,3)_(-3,-2), the coordinates.
I hope this answers your question ^^
base=?
height=7
volume=?
Answer:
The area of the base is 24 [tex]cm^{2}[/tex]
The volume is 168 [tex]cm^{3}[/tex]
Step-by-step explanation:
The area of the base is found by solving [tex]0.5*6*8[/tex], because that is the formula for the area of a triangle.
The volume is found by multiplying the area of the base by the height: [tex]24*7=168[/tex]
Which of the following notes is G?
Answer:
D
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY :)
Answer:
D is correct.
Step-by-step explanation: