Answer:
EG=55
Step-by-step explanation:
EF+FG=EG
(6x+12)+(13x+5)=29x-3
19x+17=29x-3
20=10x
2=x
29x-3
29(2)-3
58-3
55
Check
(6x+12)+(13x+5)
((6(2)+12))+((13(2)+5))
(12+12)+(26+5)
24+31
55
Which of the following equations is equivalent to the equation? 4x-6y=9
A. y=2/3x-3/2
B. y= -2/3x+3/2
C. y=3/2x-9/4
D. y= -3/2x+9/4
URGENTLY NEED ANSWER A S A P
Answer:
A. y=2/3x-3/2
Step-by-step explanation:
Subtract 4x over then divide both side by -6
Write an  equation of the line that passes through please (2, -2) and is parallel to line y=3x+9
Answer: y=3x-8
Step-by-step explanation:
To find the parallel line, you know that the slope must stay the same. If the slope is different, the graphs will touch at one point. This goes against parallel lines as they NEVER touch or cross.
y=3x+b
We can use the given point to find the y-intercept.
-2=3(2)+b [multiply]
-2=6+b [subtract both sides by 6]
b=-8
Now that we have found the y-intercept, we can finish our equation.
y=3x-8
evaluate each expression.
Example: Evaluate 10 increased by 8
Answer: 18
Evaluate: 20 decreased by 5
Answer:
15
Step-by-step explanation:if you take a way five from 20 you get 15 because 20-5 is 15
if you start at 1 and go to twenty 5 before that is 15
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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A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine the radius of each scoop, to the nearest tenth.
Answer:
The radius of the scoop is r = 3.1 cm
Step-by-step explanation:
Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.
3 gallons = 3 × 3785 cm³ = 11355 cm³
So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.
Since 90 scoops = 11355 cm³, then
1 scoop = 11355 cm³/90 = 126.2 cm³
Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have
r = ∛(3V/4π)
Substituting V = 126.2 cm³, we have
r = ∛(3× 126.2 cm³/4π)
= ∛(378.6 cm³/12.57)
= ∛30.13 cm³
= 3.1 cm
So, the radius of the scoop is r = 3.1 cm
Which of the following statements is NOT true?
1. If the endpoints of a segment are (3,0) and (0,3) , the length of the segment is approximately 4.24 units.
2. If the endpoints of a segment are (3,3) and (5,-5), the length of the segment is approximately 4.24 units
3. The Pythagorean theorem can be used to find the length of a segment.
4. The distance formula can be used to find the length of a segment.
Answer
it think it is 2 and 4 if i am wrong i will edit my work
Step-by-step explanation:
Molly and James tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F What is the mean absolute deviation of this data set?
Answer:
Mean = 81°F.
S. dev. = 5°F.
Step-by-step explanation:
When we have a set of data:
{x₁, x₂, ..., xₙ}
The mean can be calculated as:
M = (x₁ + x₂ ... + xₙ)/N
Where N is the number of data points that we have:
in this case the set is:
{ 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F }
So N = 8.
Then the mean is:
M = ( 74°F + 79°F + 76°F + 85°F + 87°F + 83°F + 86°F + 78°F )/8
M = 81°F.
Now, the standard deviation can be calculated as.
Sd = √ ( (1/N)*∑(xₐ - M)^2)
where the summation is over xₐ, which represents a summation over all the points in the data set.
Then we can write the standard deviation as:
Sd = √(1/8)*√( (74°F - 81°F)^2 + (79°F - 81°F)^2 + (76°F - 81°F)^2 + (85°F - 81°F)^2 + (87°F - 81°F)^2 + (83°F - 81°F)^2 + (86°F - 81°F)^2 + (78°F - 81°F)^2)
Sd = 4.58°F.
That we should round up to 5°F (because our mean has no digits after the decimal point)
please explain how to do this one as well ...
Answer:
x = 13
Step-by-step explanation:
Step 1: Define
f(x) = (x - 1)/2
f(x) = 6
Step 2: Substitute and solve for x
6 = (x - 1)/2
12 = x - 1
x = 13
If RS = 34 and QS = 72, find QR.
Answer:
106 you have to add both values and i did add using my calculator and it was 106
Step-by-step explanation:
Yolanda is buying supplies for school. She buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each. What does the term in the expression 1.4n + 1.2m represent? What does the entire expression represent?
Josh is trying to find the least common multiple (LCM) of 6 and 8. His work is shown at the right. What is Josh's mistake?
Explain how to find the correct LCM of 6 and 8.
Answer: C is the valid answer to the mistake part
Step-by-step explanation:
6: 2x 3
8: 2x 2 x 2
all together: 2x2x2x2x3 = 48
They were finding the prime factorization and what they were trying to find was the lcm.
I need help?! Please
Answer:
a=5
x=4
ax+3=23
5×4+3=23
Step-by-step explanation:
8=16+(y-1)
how do i solve this?
Answer:
y=-7 :)
Step-by-step explanation:
remove the parentheses
8=16+y-1
subtract the numbers
8=15+y
move variable to the left-hand side and change it's sign
-y=15-8
subtract the numbers
-y=7
change the sides on both sides of the equation
y=-7
hope it help <3
Answer:
y=2
Step-by-step explanation:
8= 16y + 16
16-8= 16y
8= 16y
y= 2
2 and 3 fiths times 5/6 express youre answer in the simplist form
Answer:
2 and 1/6, hope this helps :)
Simplify this i need help
Answer:
Step-by-step explanation:
√2x(7 + √2x)
7√2x + √2x ·√2x
7√2x + 2x
or
2x + 7√2x
A is the answer
What is the slope of a line perpendicular to the line whose equation is
6x – 15y = 270. Fully reduce your answer.
I WILL GAVE BRAINLIEST!!!!!!!!!!!!!!!!!!!
Answer:
31
Step-by-step explanation:
Recognize that all angles of a triangle add up to 180 degrees, so your equation would be x + 16 + x + 24 + 78 = 180.
Step 1: Combine like-terms.
2x + 118 = 180
Step 2: Subtract 118 from both sides to isolate the variable.
2x = 62
Step 3: Simplify
x = 31
what is the distance between 8 1/2 and 4 1/2?
Answer:
4
Step-by-step explanation:
just subtract 4.5 from 8.5
A fraction is a way to describe a part of a whole. The distance between 8 1/2 and 4 1/2 is 13 feet.
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
2 1/2 = (2×2 + 1)/2
= 5/2
= 2.5
Now, the distance between them
Distance = (8 1/2) feet + (4 1/2) feet
Converting Mixed fractions to fractions,
(8×2 + 1)/2 + (4×2 + 1)/2
= 17/2 + 9/2
= (17+9)/2
= 26/2
= 13 feets
Hence, the distance between 8 1/2 and 4 1/2 is 13 feet.
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Bill eats 3 slices of cornbread for breakfast that contain a total of 543 calories. How many
calories does each slice contain?
Please help I'll mark brainlest
Answer:
x = 76
Step-by-step explanation:
∠ DIJ and ∠ HIJ are adjacent and supplementary, thus
∠ DIJ = 180° - 107° = 73°
The sum of the 3 angles in Δ DIJ = 180° thus
∠ DJI = 180° - (73 + 31)° = 180° 104° = 76°
∠ DJI and x are vertical angles and congruent , thus
x = 76
Answer:
x = 76
Step-by-step explanation:
x = 76
When the civil war began, president lincoln believed that it would only take a few weeks to defeat the rebellious states true or false
Answer:
it's true that when the civil war began, president Lincoln
7.6g of sugar is needed for every cake made. How much sugar is needed for 10 cakes?
Answer:76
Step-by-step explanation: The answer is 76 because if you multiply 7.6 by 10 you shall receive 76 cakes.
eeeeeeee if u can answer this i will give u brainly c:
Between each point of "5" there are 10 little squares in between and each number passes every 2 little squares. So we can use this to solve the questions.
Part A:
Count all the pupils who scored "more" than 7 using the assumption we made above.
12 scored more than 7
Part B:
Since we know that 14 scored more the seven, count all of the pupils who scored 7 and less.
15 scored a seven or less.
Add both numbers.
12 + 15 = 27 total pupils
Part C:
The assumption we had to make was to count each two little squares that represent one pupil to find the answer for Part B.
Best of Luck!
Answer:
the person above is 100% right
Step-by-step explanation:
13 14 14 16 16 16 16 18 18 19
What is the mean?
Zheng was curious whether △ABC and △CED are similar. He wrote a proof and came to the conclusion that they are not similar, but his proof is wrong. What is the first mistake Zheng made in the proof? Choose 1 answer:
Answer:
C
Step-by-step explanation:
Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.
What is congruency?The Side-Angle-Side Congruence Theorem (SAS) defines two triangles to be congruent to each other if the included angle and two sides of one is congruent to the included angle and corresponding two sides of the other triangle. An included angle is found between two sides that are under consideration.
In the given figure the triangles △ABC and △CED are similar the incorrect statement made by Zheng is that the side AC does not correspond to the side CD.
It means that the △ABC and △CED will not be similar to each other. But the two triangles △ABC and △CED are similar.
Therefore, Zheng made a mistake as the side AC does not correspond to the side CD. The correct option is C.
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An architect measures a beam to be 96.55 centimeters long, with an accuracy of plus or minus 0.02 centimeter. Which equation can be used to find the limits of the actual length of the beam? |x−96.55|=0.02start absolute value x minus 96 point 5 5 end absolute value is equal to 0 point 0 2 |96.55−0.02|=xstart absolute value 96 point 5 5 minus 0 point 0 2 end absolute value is equal to x |x+96.55|=0.02start absolute value x plus 96 point 5 5 end absolute value is equal to 0 point 0 2 |96.55+0.02|=x
Answer:
|96.55−0.02|= x
|96.55+0.02|=x
Step-by-step explanation:
Given that:
Measured length of beam = 96.55 cm
Measurement accuracy = plus or minus (± 0.02cm)
Limits of actual length of the beam:
Let limit of actual length = x
Lower limit :
|measured length - accuracy| = x
|96.55 - 0.02| = x
96.53) x
Upper limit :
|measured length + accuracy| = x
|96.55 + 0.02| = x
96.57 = x
4d - p = m
Solve for d
Answer:
d=(m+p)/4
Step-by-step explanation:
The given equation solved for d as d=(m+p)/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The given equation is 4d-p=m.
The given equation can be solved as
4d=m+p
Therefore, the given equation solved for d as d=(m+p)/4.
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The horizontal stretch by a factor of 2 and a translation 2 units up
Answer:
2 _ 3x. 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the x-axis. 0 Replace X X 3 35+2 3 -(x+7).
Step-by-step explanation:
M is the midpoint of LN. If LM = 3x - 7, and MN = x - 3, find x
Answer:
x = 2.5 or 5/2
Step-by-step explanation:
If M is the midpoint it separates the line segment into 2 equal parts so....
3x - 7 = x - 3 ----> + 3 on each side ----> 3x -5 = x ---> - 3x on each side ---> -5 = -2x ----> divide by -2 on each side to get. 2.5
What is the mode of the data set? 2 0 5 7 8 9 8 2 1 8 A. 2 and 8 B. no mode C ,8 only D, 2 only
Answer:
The answer is C. 8
Step-by-step explanation:
First we should reorganize the data set so that it is easier to see the mode:
0, 1, 2, 2, 5, 7, 8, 8, 8, 9
Since mode is the value that occurs the most, we just have to look at the data set and find out which value here occurs the most:
0 - Once
1 - Once
2 - Twice
5 - Once
7 - Once
8 - Thrice
9 - Once
From this we can see that the value 8 occurs the most.
Therefore, the answer is C. 8