Answer:
24 does not work as a common denominator because it is not the Lowest Common Multiple of 6, 4 and 5.
Step-by-step explanation:
In that above question, we are told that:
A student is trying to find the sum of 5/6 + 3/4 + 1/5
Step 1
The first step would be to find the Lowest Common Multiple of the denominators (6, 4, 5).
Lowest Common Multiple can be defined as the number that is the lowest quantity of the multiple of 2 or 3 number.
The lowest common multiple for 6, 4, 5 = 60. This is that number that the 3 denominators can be divided in
Hence,
5/6 + 3/4 + 1/5
= 5 × 10 + 3 × 15 + 12× 1/60
= 50 + 45 + 12/60
= 107/60
= 1 47/60
24 does not work because it is not the Lowest Common Multiple of 6, 4 and 5.
The lowest common multiple for the 3 denominators = 60, therefore 60 should be used.
Find the length of the segment AB if points A and B are the intersection points of the parabolas with equations y=−x2+9 and y=2x2−3 .
Answer:
Answer:
AB=4
Step-by-step explanation:
Answer:
AB=4
Step-by-step explanation:
1. Since you are finding the intersection points of two parabolas:
a. y=-x²+9
b. y=2x²-3
2. You have to set them equal to each other:
2x²-3= - x²+9
2x²+x=9+3
3x²=12
x²=4
This is the crucial part; the absolute value of x is equal to plus minus the square root of 4, since either -2 squared with parentheses or 2 squared is equal to 4.
√x²=±√4
x=±2
or
x=2; x=-2
3. Then you substitute them into each equation. For this step, any sign 2 will work.
a. y=-(2)²+9
y=-4+9
y=5
b. y=2(2)²-3
y=8-3
y=5
4. So our coordinates will be (2,5) and (-2,5). These are the points of intersection.
5. Now we use the distance formula:
The subscripts didn't work for this but I mean the square root of x 2 - x 1 in parentheses plus y 2 -y 1.
=
√16=
4
The absolute value rule that I mentioned above doesn't work for this because its a distance and you can't have a negative distance.
So AB=4
The distance between two points (x₁, y₁) and (x₂, y₂) is given by:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
With this, we will found that the distance between A and B is: 4 units.
The first thing we need to do is find A and B.
We know that the points are the intersection between the two parabolas.
y = -x^2 + 9
y = 2*x^2 - 3
The intersection is given by the zeros of the difference:
(2*x^2 - 3) - (-x^2 + 9) = 0
3*x^2 -12 = 0
3*x^2 = 12
x^2 = 12/3 = 4
x = √4 = ±2
To find the points, we need to evaluate one of the parabolas in these two x-values.
Let's use the first one:
y = -(2)^2 + 9 = 5
So we have the point (2, 5)
For the other point:
y = -(-2)^2 + 9 = 5
So we have the point (-2, 5)
Then we can define:
A = (2, 5)
B = (-2, 5)
Using the distance equation we get:
[tex]D = \sqrt{(2 - (-2))^2 + (5 - 5)^2} = 4[/tex]
The distance between A and B is 4.
If you want to learn more, you can read:
https://brainly.com/question/12082741
Angles A and B are supplementary. If angle A= 137° then angle B is
Answer:
43°
Step-by-step explanation:
Angles A and B are supplementary
i. e. angle A + angle B =180°
137° + angle B =180°
angle B=180°-137°
=43°
Ina school 3/7 of the student are girls if there are 240 boys, find the number of girls
The number of Girls in a school is 180.
Find the number of girls.
There are girls in a school = 3/7
Number of boys in a school = 240
Assume that there are x students in a school.
Number of Girls = 3/7 of All Students.
= 3/7 of x
= 3x/7
We know that,
Total Students = Number of Boys + Number of Girls.
240 + 3x/7 = x
240 = x - 3x/7
240 = (7x - 3x) /7 (Taking L.C.M.)
240 × 7 = 4x
x = 60 × 7
x = 420
Total number of Students in a school is 420.
Thus, Number of Girls = 3/7 × x
= 3/7 × 420
= 180
So, the number of Girls in a school is 180.
Learn more about problems on find the number.
https://brainly.com/question/2735227
6. During the school fundraiser, the 4th grade raised $2,124. The 5th grade raised $396 less than 4th grade. How much money did the 4th and 5th grades raise together?
Answer:
$3,852
Step-by-step explanation:
Total for 4th grade: 2,124
5th grade: raised 396 less
2,124-396= total amount 5th graders raised
2,124-396=1,728
2,124+1,728=3,852
They raised $3,852 dollars.
Answer: 3,852
there you go
4 times 4 times 4 times 4
4 x 4 x 4 x 4 = 256
Hope this helps and have a great day!
Answer:
64
Step-by-step explanation:
4 times 4 times 4
4 times 4 is 16 then times that by 4 is 64
Answer each question with a fraction. A cake that weighs 4 pounds was split equally among 8 children. How much cake did each child get?
Answer:
4/8 or 1/2
Step-by-step explanation:
Divide among 8 because its eight children
-5x - 16 + 3x = -23 - 9x
???Anyone I need help
Answer:
x=−1
Step-by-step explanation:
Let's solve your equation step-by-step.
−5x−16+3x=−23−9x
Step 1: Simplify both sides of the equation.
−5x−16+3x=−23−9x
−5x+−16+3x=−23+−9x
(−5x+3x)+(−16)=−9x−23(Combine Like Terms)
−2x+−16=−9x−23
−2x−16=−9x−23
Step 2: Add 9x to both sides.
−2x−16+9x=−9x−23+9x
7x−16=−23
Step 3: Add 16 to both sides.
7x−16+16=−23+16
7x=−7
Step 4: Divide both sides by 7.
7x
7
=
−7
7
x=−1
Answer:
x=−1
Answer: x= -1
Step-by-step explanation:
A person who had $1,000,000 gave $100 to charity. How much must a student who has $100 give to charity to give proportionally the same as the millionaire?
(100 / 1,000,000) × 100% = 0.01%
x = amount of money the student has to give.
(x / 100) × 100% = 0.01%
We can cancel out the 100's
x = $0.01
The student would have to give $0.01 or 1 cent
Hello i need help with 3/4(x+2) =6
Answer:
X = 6.
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
since you want to solve for x, you want to get it by itself
to start, you want to try to get (x+2) by itself, and you can do this by multiplying both sides by the reciprocal of 3/4
[tex](\frac{4}{3}) \frac{3}{4}(x+2) = 6 (\frac{4}{3})[/tex]
since a number multiplied by its reciprocal is equal to 1, this leaves you with
[tex](x+2) = \frac{24}{3}[/tex]
[tex](x+2) = 8[/tex]
now, you can subtract 2 from both sides in order to get x by itself
[tex](x+2)-2 = 8-2[/tex]
[tex]x = 8-2=6[/tex]
and then you have your answer
x = 6
hope this helps :)
Use the FOIL method to find the product below.
(x + 5)(x2 – 3x)
A. x3 + 2x2 - 15
B. x3+ 5x2 - 15x
C. x3+ 2x2 - 15x
D. x3 + 5x2 - 15
Answer:
work is pictured and shown
Lisa is decorating the outside edge of a square picture frame. She needs to know the side length of the frame. The area of the frame is mm square inches. Which shows the side length, in inches, of the picture frame?
Answer:
Step-by-step explanation:
If you have the area just divide it by 4 and that will give you the answer .
A square has all equal sides
Ninety-two is all of the following except _____.
a term
an expression
a constant
a variable
Answer:
hello!
ninety two is a term, an expression, a constant but not a variable
hope it helps you!
Answer:
Ninety-two is all of the following except a variable
what is the solution to 3/4b=8
Answer:
[tex]b=\frac{32}{3}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}b=8[/tex]
Multiply both sides by 4:
[tex]4\times \frac{3}{4}b=8\times4[/tex]
[tex]3b=32[/tex]
Divide both sides by 3:
[tex]\frac{3b}{3}=\frac{32}{3}[/tex]
[tex]b=\frac{32}{3}[/tex]
Find the length of AB if AB = x + 10, BC = x + 14, and AC = 32.
Answer:
14
Step-by-step explanation:
AB + BC = AC
[tex]x + 10 + x +14 = 32 \\ 2x = 8 \\ x = 4 \\ \\ [/tex]
AB = 4 + 10 = 14
Answer:
AB = 14Step-by-step explanation:
AB + BC = AC
x + 10 + x + 14 = 32
2x + 24 = 32
-24 -24
2x = 8
÷2 ÷2
x = 4
AB = x+10 = 4+10 = 14
combining like terms with negative coefficients
2y-3xy+4y-5xy ?
Answer:
6y - 8xy
Step-by-step explanation:
2y-3xy+4y-5xy
Combine like terms:
(2y+4y) + (-3xy -5xy)
6y - 8xy
if I am 9 years old how old will i be in 29 years
Answer:
YOU will be 38 yrs old, but I will be 29 years older than my 29 year-younger self
Step-by-step explanation:
Answer:
you would be 38
Step-by-step explanation:
29 plus 9 equals 38
Solve4(a+4) - 2 = 34
Answer:
a = 5
Step-by-step explanation:
You have to isolate the variable by dividing each side by factors that don't contain a variable.
Answer or i can giv u the ansur if you want it
Step-by-step explanation:
Okkkkkkkkkkkkkkkkkkkkkkkkk
Answer:
answers are in the boxes
What are some ratios that are not equivalent to 6/9 I need this before 7 pm pacif time!
Answer:
1:8
33:8
1:1
88:99
6:7
235:9
A tree is 4 1/2 feet tall, it is expected to grow by 1 3/4 feet per year at this rate how long will it take for the tree to have a height greater than 40 feet
Answer:
Approximately
n = 21 years
Step-by-step explanation:
Original height of the tree = 4 1/2 feet
Final height of the tree = 40 feet
Common difference = 1 3/4 feet per year
The data shows the question is an arithmetic progression
Tn = a + (n-1) d
Tn = 40
a = 4 1/2
d = 1 3/4
n = ?
Tn = a + (n-1) d
40 = 4 1/2 + ( n - 1) 1 3/4
40 = 9/2 + (n - 1) 7/4
40 = 9/2 + 7/4n - 7/4
40 = 18-7/4 + 7/4n
40 = 11/4 + 7/4n
40 - 11/4 = 7/4n
160-11/4 = 7/4n
149/4 = 7/4n
Divide both sides by 7/4
n = 149/4 ÷ 7/4
= 149/4× 4/7
= 149/7
n = 21.29 years
Approximately
n = 21 years
26°
58°
X
What is the measure of angle x in degrees?
a. 70°
b. 84°
C. 96°
d. 122°
Answer:
b. 84
Step-by-step explanation:
180-26-58=96
180-96=84
Help me please please!!
Answer: Robert put 5 * (8) * 2 instead of putting 5 * (-8) * 2
Please Mark me as brainliest
What is 3|-a+5| if a is 7
Answer:
6
Step-by-step explanation:
The I I is just absolute value, so it will give a positive result. if a=7,
3I-7+5I
-7+5=-2, but because this is absolute value, -2=2
Then you have 3(2),
3*2=6
20
What is the sum of 7x4 + 2xy - 5y3 and 2x4+3xy + 2y3?
Step-by-step explanation:
7x^4+2xy-5y^3
+2x^4+3xy+2y^3
=9x^4+5xy-3y^3
What is 9+10? is it 21?
Answer:
I know the joke your trying to pull of :>
Step-by-step explanation:
But if u really need help it's 19
10+9=19
instead of 21
Hope you liked
Thank YouWhat is 55% of $11,000 dollars?
$550
$5,500
$6,050
$5.00
Answer:
6,050 would be the right answer
Step-by-step explanation:
UV has endpoints at U(8, 2) and V(8,0). Find the midpoint M of UV.
Write the coordinates as decimals or integers.
the ratio of men to women is 3:4 and the ratio of women to children is 5:2. write the ratio of men to women to children
Answer:
15:20:8
Step-by-step explanation:
You have to find a common factor between 4 and 5 because there are 3 men to 4 women and 5 women for 2 children, those numbers don't directly correlate. The easiest waay would be to multiply 4 and 5.
4 x 5 = 20
So we can correct the first ratio.
3 X 5 = 15
So the ratio of men to women is 15:20.
Now we find the ratio of women to children.
4 x 5 = 20
4 x 2 = 8
The ratio of women to children is 20:8.
Now that we have the same number in each ratio for women, we can combine them.
The ratio of men to women to children is:
15:20:8
HELP IMMEDIATELY! Please help, on 1, 2 and 3. I’m so lost :(
When two variables are proportionate, they increase and decrease at the same ratio.
36 / 40 = 0.9
0.9 * 140 = 126
When y = 140, x = 126.
2. 150 / 30 = 5
5 * 48 = 240lbs
A person who weighs 48 lbs on the moon weighs 240lbs on Earth.
3. 110 / 66 = 0.6
0.6 * 80 = 48
y = 48 when x = 80
If an Australian contractor ordered $340,000 U.S. Dollars worth of steel from an American company, what is the cost of the steel in Australian dollars? (Enter a number as an exact integer or decimal.)
Answer:
466895
Step-by-step explanation:
If you know the conversion, it's easy.
1 US dollar is about 1.37322 Australian.
so, you multiply 340,000 times 1.37322 and get about 466895 Australian dollars