Answer: 2.83
Step-by-step explanation:
Use the distance formula
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
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
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
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.
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Solve -4(3x – 7) = 52 for x.
Answer:
x = -2
Step-by-step explanation:
First, distribute:
-12x + 28 = 52
Then, subtract 28 on both sides:
-12x = 24
Finally, divide -12 on both sides:
x = -2
Hope this helps!
Answer:
Your answer is x= -2
Step-by-step explanation:
[tex]-4(3x-7)=52[/tex] divide both sides by -4
[tex]\frac{ -4(3x-7)}{-4} = \frac{52}{-4}[/tex] cross out -4 and divide 52 by -4= -13
[tex](3x-7) = -13[/tex] add 7 to both sides -13+7=-6
[tex]3x= -6[/tex] divide both sides by 3
[tex]\frac{3x}{3} = \frac{-6}{3}[/tex] cross out the 3 and divide -6 by 3 = -2
[tex]x=-2[/tex]
What 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:
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 YouA 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
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
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
Okkkkkkkkkkkkkkkkkkkkkkkkk
Answer:
answers are in the boxes
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]
h(x)=-3x+1
evaluate h(-2)
Answer:
h(-2) = 7
Step-by-step explanation:
Plug in -2 for h in the equation:
h(x) = -3x + 1
h(-2) = (-3)(-2) + 1
Remember to follow PEMDAS. First, multiply, then add:
Multiply. Note that when you multiply two negative numbers, the answer will be positive:
(-3) * (-2) = (3 * 2) = 6
Next, add:
h(-2) = 6 + 1 = 7
h(-2) = 7
h(-2) = 7 is your answer.
~
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
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:
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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°
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
Use the pattern to extend the table. Then answer the question below. Include two decimals for each answer even if they are 0 Cars Washed Money Earned (Hint: this is how much you would earn for 1 car) How much is earned per car? $ How much will be earned for 20 cars?
We know that 3 cars yielded $13.50
$13.50 / 3 = $4.50 / 1 car
$4.50 * 12 cars = $54.00
$4.50 * 15 cars = $67.50
$4.50 * 20 = $90.00
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
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
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
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
UV has endpoints at U(8, 2) and V(8,0). Find the midpoint M of UV.
Write the coordinates as decimals or integers.
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
Reginald has to put fertilizer on his yard. The bags of fertilizer cost $4.79 and cover 3500 square feet. Reginald's yard is a rectangle that measures 427 ft by 231 ft. How much will he spend on fertilizer?
He'll spend 138.91 dollars.
First multiply 427 and 231 to find out how much square feet you need to cover. Then divide the number by 3500 to see how many bags of fertilizer you need. Since there is a remainder, he'll have to buy another bag. Then, multiply the number of bags needed with the price of each bag to get the amount of money spent.
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
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 :)
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
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