Answer:
g = j - 12
Step-by-step explanation:
Let's say Jessie installed j axles. Convert words to math:
- "12 more" = + 12
- "the number of engine blocks her friend Gus installed yesterday" = g
Put it together: g + 12. This is equal to j: j = g + 12. Solve for g:
j = g + 12
g = j - 12
Lets use the variables "a" and "g" to solve.
a = number of axles
g = number of engine blocks
If Jessie has 12 more axles than the number of engine blocks, this means we are adding (g + 12).
Now, we have the expression a = g + 12
Solve for g since we are finding the number of engine blocks Gus Installed.
a = g + 12
~Subtract 12 to both sides
a - 12 = g + 12 - 12
a - 12 = g
Therefore, the answer is [ a - 12 = g ]
Best of Luck!
Matt is cutting quilt squares measuring 3 inches on each side. He wants to use them to make a rectangular wall hanging measuring 1 yard by 212 feet. How many quilt squares does he need?
Answer:
Matt will need 10176 square quilts to cover the wall
Step-by-step explanation:
To answer this perfectly, we will have to first convert everything to the same unit.
dimensions of the quilt squares = 3 inches
Length of the wall = 1 yard = 36 inches
Breadth of the wall = 212 feet = 2544 inches.
The next step, is to find the area of the wall that Matt is covering.
Area of wall = length X breadth = 36 X 2544 = [tex]91584in ^{2}[/tex]
We will also find the area of the square quilts. This is given as length X length = [tex]3^{2}[/tex]=[tex]9 in^{2}[/tex]
to get the number of square quilts that will cover that area, we will have to divide the area of the wall by the area of the quilts
= 91584 /9 = 10176 quilts
Matt will need 10176 quilts to cover the wall
On Rectangle QRST below, if Q is located at -6,-1 and S is located at 1, 5, find RT
Answer:
[tex]|RT|=\sqrt{85}$ units[/tex]
Step-by-step explanation:
On Rectangle QRST
QS is congruent to RT since they are opposite side of a rectangle.
If Q is located at (-6,-1) and S is located at (1, 5), we simply find the length of QS using the distance formula.
For points [tex](x_1,y_1)$ and (x_2,y_2)[/tex] on the coordinate axis,
Distance[tex]=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this case,[tex](x_1,y_1)=(-6,-1)$ and (x_2,y_2)=(1, 5)[/tex]
[tex]|QS|=\sqrt{(1-(-6))^2+(5-(-1))^2}\\=\sqrt{(1+6)^2+(5+1)^2}\\=\sqrt{(7)^2+(6)^2}\\|QS|=\sqrt{85}$ units[/tex]
Since
[tex]|QS| \cong |RT|\\ |RT|=\sqrt{85}$ units[/tex]
Is it possible to triangulate a quadrilateral and get more or fewer than two triangles? Determine whether this investigation verifies that the sum of the interior angles of a quadrilateral is always 360°.
Answer:
No.
Step-by-step explanation:
It’s not possible. No matter what type of quadrilateral it is, there will only be two triangles formed, verifying that the sum of the interior angles of a quadrilateral is always 360°.
It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. It is verifies that the sum of the interior angles of a quadrilateral is always 360°.
What is a quadrilateral?Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.
It’s not possible to triangulate a quadrilateral and get more or fewer than two triangles. No matter what type of quadrilateral it is, there will only be two triangles formed.
We know that The sum of internal angle of a quadrilateral is 360°.
The sum of angle in a triangle is 180°. By Adding the two triangle angle together, we will get the sum as 360°.
The Sum of the interior angle of a polygon = 180(n-2) .
It is verifies that the sum of the interior angles of a quadrilateral is always 360°.
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The square root of 30
Answer:
square root of 30 is 30
because it comes in a point =5.477225575
Please Help!! In a discount store, 12% of the 100 cups in stock have some unnoticeable defect. What is the probability of buying 12 cups that don’t have any defect? And what is the probability of getting all 12 cups having a defect?
≈Answer:
a)What is the probability of buying 12 cups that don’t have any defect?
0.1955
b) And what is the probability of getting all 12 cups having a defect?
9.52 × 10⁻¹⁶
Step-by-step explanation:
In the question,we are given the following values:
12% of the 100 cups in stock have some unnoticeable defect.
The number of cups that have defect in stock is calculated as:
12/100 × 100 = 12 cups
The number of cups that doesn't have defect is calculated as:
Total number of cups in stock - Number of cups in stock that have defect.
100 - 12 = 88 cups
a) What is the probability of buying 12 cups that don’t have any defect?
Probability Formula = Number of events/ Number or possible outcomes.
The probability of buying cups that don't have any defect =
88/100 × 87/99 × 86/98 × 85/97 × 84/96 × 83/95 × 82/94 × 81/93 × 80/92 × 79/91 × 78/90 × 77/89 = 0.1955138721
Approximately = 0.1955
b) And what is the probability of getting all 12 cups having a defect?
Probability Formula = Number of events/ Number or possible outcomes.
= 12/100 × 11/99 × 10/98 × 9/97 × 8/96 × 7/95 × 6/94 × 5/93 × 4/92 × 3/91 ×2/90 × 1/89
= 9.519991996 ×10⁻¹⁶
Approximately = 9.52 × 10⁻¹⁶
Domain represents which of the following?
A. slope
B. x values
C. y values
D. maximum
Answer:
b
Step-by-step explanation:
Find the distance between the two points rounding to the nearest tenth (if necessary).
(5,3) and (3,6)
Answer:
1.5
Step-by-step explanation:
Plug in numbers into the distance formula.
y2-y1
____
x2-x1
6 - 3. 3
____. ___
3 - 5. -2
3/-2=-1.5
Answer:
3.6 or Sqrt(13)
Step-by-step explanation:
plug into distance formula
(3-5)^2 + (6-3)^2
4 + 9
Sqrt(13)
Sqrt(13) is equal to 3.6055127546
^ is rounded up to 3.6
Find the value of e/a. Just read the variables and numbers.
(50 points)
Answer:
35
Step-by-step explanation:
PLEASE HELP!! WILL GIVE BRAINLIEST IF RIGHT
An account earns annual simple interest, Find the interest earned, principal, interest rate, or time.
Interest earned: ?
Principal: $1250
Interest rate: 3%
Time: 4 years
Answer:
:
I think I know how to solve this. You are trying to find the interest earned.
Step-by-step explanation:
you take the interest rate and convert into a percentage. 3%=0.03You divide that decimal by 100. 0.03/100=0.003Take this number and multiply by the time. 0.0003x4=0.0012You then finally multiply that number by the principle and you have your answer. 0.0012x1250=1.5 percentAnswer:
t says or, so you can answer any however the answer to time would be 4 years or so
Step-by-step explanation:
10x5 = 50
50x50 = 2500
2500x.4= 1000
1000/250=4
4
Step-by-step explanation:
Which prism has a volume of 6 cubic units? A prism has a length of 1 and one-half, height of 1, and width of 3. A prism has a length of 2, height of 1 and one-half, and width of 2. A prism has a length of 1 and one-fourth, height of 1, and width of 4. A prism has a length of 3, height of 1 and one-fourth, and width of 2.
Answer: The second prism with length of 2, height of 1 and one half, and a width of 2.
Step-by-step explanation:
2 * 1.5 * 2= 6
Answer:
B
Step-by-step explanation:
its B
The points (0, 1), (1, 5), (2, 25), and (3, 125) are on the graph of a function. Which equation represents that function?
Answer:
Hello there I would love to assist but could you give me a little more info I think I know the answer but I want to make sure I got it 100% correct unless you cant give me more info ill just tell you what I think it is but if u can give me more info before I give u the answer to make sure its correct would be appreciated
Step-by-step explanation:
Answer:
D, f(x)=5x
got it right
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
She will have $78,080 dólars in her account and $17,080 is the interest she will earn in 2 years
Step-by-step explanation:
i = prt
i = ($61,000)(.14)(2)
i = $17,080
$78,080
Answer:
$78080
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 61000 × 14/100 × 2
I = $17080
She have = 61000 + 17080 = $78080
EMERGENCY!!!!
What is the volume of the following rectangular prism?
Answer:
6 3/4
Step-by-step explanation:
3 3/8 * 2 = 6 3/4
The small box --------- similar to the large box. (is/is not)
The small box ---------similar to the medium box if the medium box has a width and height equal to (is/is not)
Answer: is not, 15 inches and 9 inches
Step-by-step explanation:
Answer:
1. is not
2. 15, 9 inches
Step-by-step explanation:
Tamika’s math test scores (out of 30) are 25, 28, 26, 25, 8, 29, 28, 24, 23.
a)What is the outlier in this set?
b) Why might Tamika’s teacher decide to remove this outlier when calculating the average for her report card?
c) Which average is affected more by the removal of the outlier, the mean or median? Justify your answer.
I WILL GIVE BRAINLIEST IF YOU ANSWER ALL THE 3 QUESTIONS GOOD.
Answers:
A.) 8 is the outlier in the set. It is the only number that doesn't match with the others. It is the furthest from the median of the numbers.
B.) The outlier could represent false information. It could greatly drop the number of the mean, or the average, range of the scores.
C.) The mean is affected more. The mean of a set of numbers is the average of the set. The median just locates the middle-most number. The median would not always give an accurate representation of the average of the set like the mean would.
need answer ASAP a house shaped like an octagon has a large porch, as shown. what is the area of the house and the porch
Answer:
I think the answer is 775 square feet. Not 100% sure though
Answer:
875
Step-by-step explanation:
Hope this helps.
Jody has a plastic container in the shape of a rectangular prism. The container is 8 1/2 inches long, 4 inches wide, and 3 1/2 inches high. What is the volume of this plastic container?
Answer:
=119 in ^3
Step-by-step explanation:
The volume of a rectangle prism is given by
V = l*w*h
Changing to decimal form
= 8 .5 * 4 * 3.5
=119 in ^3
Answer: 119^3
Step-by-step explanation:
To find out the volume of a rectangular prism you have to multiply length x width x height.
8.5 x 4 = 34
34 x 3.5 = 119^3
12 is 1/5 of what number?
Answer:
12 is 1/5 of 60
Step-by-step explanation:
12 x 5 is 60.
Neil goes to the pet shop and selects a treat for his dog. He chooses one, then chooses another. What is the probability Neil selects a bone and then a ball? There are 3 collars, 4 bones, and 5 balls.
Answer:
15.15% probability that Neil selects a bone and then a ball
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Initially, there are 3+4+5 = 12 treats. 4 of those are bones. So the probability of selecting a bone is 4/12 = 1/3.
Now suppose a bone has been selected. Now there are 11 treats, 5 of which are balls. So the probability of selecting a ball in this situation is 5/11.
What is the probability Neil selects a bone and then a ball?
[tex]p = \frac{1}{3}*\frac{5}{11} = \frac{5}{33} = 0.1515[/tex]
15.15% probability that Neil selects a bone and then a ball
What is the volume, in cubic centimeters, of a
cylinder that has a height of 15 cm and a
diameter of 12 cm?
Answer:
3cm
Step-by-step explanation:
Answer:
The answer is 540π cm³ or 1700 cm³.
Step-by-step explanation:
Given that the volume og cylinder is V = π×r²×h where r represents radius and h is height. The diameter is 12 cm so the radius is 6 cm. Then you have to substitute it into the formula :
V = π × r² × h
Let r = 6 cm,
Let h = 15 cm,
V = π × 6² × 15
= π × 36 × 15
= 540π cm³
= 1700 cm³ (3s.f)
Which fraction is equal to 0.34
Answer: 17/50
Multiply
0.34/1×100=34/100
Simplify
34/100÷2/2=17/50
A fraction which is equivalent to 0.34 is; 17/50
The decimal number, 0.34 can be represented in words as; 34 hundredths.
In essence, mathematically, we have;
34/100= 17/50.17/50 is obtained by factorisation of 2 out of the numerator and denominator.
Hence, a fraction which is equivalent to 0.34 is 17/50.
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If a < 0 then the graph opens_____
Answer:
down
Step-by-step explanation:
Assuming this is for a parabola
a>0 the graph opens up
a < 0 the graph opens down
( negative is a frown)
> means the line is curving downwards.
< means the line is curving upwards.
Assuming that this is a parabola, the inequality a > 0 means that the line is curving in a downward form. This inequality will also have a maximum.
Best of Luck!
Today, everything at a store is on sale. The store offers a 20% discount.If the regular price of an item is x dollars, what is the discount price in dollars? Type the correct expression in the box below.
Answer:
0.80x dolllars
Step-by-step explanation:
20% discount of the total amount is
0.20 * x dolllars
So if you start with x dollars you need to subtract the discount to get the new (lower ) price.
x - (0.20 * x) dolllars
1* x - 0.20 * x
x * 1 - 0.20 * x
x * ( 1 - 0.20 )
x * ( 0.80 )
0.80x dolllars
The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their family
The first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost?
answer:
82.0476 i think
Step-by-step explanation:
Answer:
82.04 dollars
i hope this was helpful
Step-by-step explanation:
What is a solution for the inequality y-7<-12
Answer:
y<-5
Step-by-step explanation:
y-7<-12
y<-5
Answer:
The answer is y is less than -5
Step-by-step explanation:
help me plz and 5x + 25 > 75
Answer:
x > 10
Step-by-step explanation:
Isolate the variable, x. Treat the > sign as a equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
First, subtract 25 from both sides:
5x + 25 (-25) > 75 (-25)
5x > 75 - 25
5x > 50
Next, divide 5 from both sides:
(5x)/5 > (50)/5
x > 50/5
x > 10
x > 10 is your answer.
~
Examine the equation. –3x + 18 = 7x What could you do to isolate the variable term to one side of the equation? Add 3x to both sides. Subtract 3x from both sides. Add 18 to both sides. Subtract 18 from both sides.
Answer:
You would add 3x to both sides. Then divide by 10 on both sides.
What to do to isolate the variable term to one side of the equation is to add 3x to both side
Given the equation, -3x + 18 = 7x, we need to isolate the variable term. To do that, we will follow the steps below;
Add 3x to both sides of the equation to have;
-3x + 18 + 3x = 7x + 3x
18 = 7x + 3x
Swap sides
7x + 3x = 18
10x = 18
Divide both sides by 10
10x/10 = 18/10
x = 1.8
From the steps above, what to do to isolate the variable term to one side of the equation is to add 3x to both side
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Pls help guys! 15 points!
Select all of the following true statements if R = real numbers, N = natural numbers, and W = {0, 1, 2, ...}.
a) W c N
b) {0, 1, 2, ...} c_W
c) {no solution} c N
d) 9 e W
e) R c W
f) -5 e W
Answer:
B AND C
Step-by-step explanation:
Answer:
It should be B and C
Step-by-step explanation:
what place value is the 8 in in the number 475.082
The place value is the 8 in in the number given is 8 hundredths.
What is place value?The place value is the position of each digit in a number. The place value of digits is determined as ones, tens, hundreds, thousands,ten-thousands and so on, based on their position in the number.
The place value =
Ones, tens, hundreds, thousands, ten-thounsands.
Place value names to the right of the decimal work in a similar way, only given that they are given fractional names because, well, they're fractions of one:
tenths: 0.1 = 1/10
hundreths: 0.01 = 1/100
thousandths: 0.001 = 1/1000
ten-thousandths: 0.0001 = 1/10000
and so on.
As the 8 is in the second unit value over, that means it's in the hundredths place. That means that its value is eight hundredths.
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Which equation represents the given statement "Eight times a number minus 2 equals 33
more than the number." *
Answer:
8N-2=33+N
Step-by-step explanation:
