Write the fraction 24/40 in its simplest form.
Answer:
3/5
Step-by-step explanation:
The numerator, 24, and the denominator, 40, both have a GCF(greatest common factor) of 8. By dividing both the numerator, 24, and the denominator, 40, by 8 you would be simplify the fraction. In which you'd get a numerator of 3 and a denominator of 5, which is 3/5 and the simplest form of 24/40.
The simplified form of 24/40 is 3/5.
To simplify the fraction 24/40, we need to find the greatest common factor (GCF) of the numerator (24) and the denominator (40) and then divide both the numerator and denominator by that GCF.
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, and 40.
Looking at the lists of factors, we can see that the greatest common factor of 24 and 40 is 8.
To simplify the fraction, we divide both the numerator and denominator by 8:
24 ÷ 8 = 3
40 ÷ 8 = 5
Therefore, the simplified form of 24/40 is 3/5.
The simplified fraction represents the same proportion as the original fraction but is written in its simplest and most reduced form. In this case, 24/40 can be simplified to 3/5 by dividing both the numerator and denominator by their greatest common factor, which is 8.
To learn more about fractions;
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The athletic department manager purchased a total of 52 footballs and soccer balls. Each football cost $23.53, and each soccer ball cost $19.86. If the manager spent a total of $1,120.80, how many soccer balls did the manager purchase?
Answer:
The manager purchased 28 soccer balls.
Step-by-step explanation:
Since the information states that the athletic department manager purchased a total of 52 balls, you can say that the result of adding up the number of footballs and soccer balls purchased is 52, which can be expressed as:
x+y=52, where:
x is the number of footballs purchased
y is the number of soccer balls purchased
Also, as the statement indicates the price of each type of ball and the total cost, you can say that adding up the results of multiplying the price of each ball for the quantity purchased is equal to the total amount spent, which is:
23.53x+19.86y=1,120.80
Now, you have 2 equations:
x+y=52 (1)
23.53x+19.86y=1,120.80 (2)
To be able to find the value of x and y, first you can isolate x in (1):
x=52-y (3)
Then, you can replace (3) in (2) and solve for y:
23.53(52-y)+19.86y=1,120.80
1,223.56-23.53y+19.86y=1,120.80
1,223.56-1,120.80=23.53y-19.86y
102.76=3.67y
y=102.76/3.67
y=28
Finally, you can replace the value of y in (3) to find the value of x:
x=52-28
y=24
According to this, the answer is that the manager purchased 28 soccer balls.
PLS HELP IF U DONT KNO DONT ANSWER PLS
Answer: A, I think
Step-by-step explanation:
Answer:
Step-by-step explanation:
→ Thanks ← God bless keep ur head up king/queen and have a good rest of ur day
An event planner can set up 6 tables in 30 minutes. How many tables can the event planner set up in 4.5 hours?
First convert 4.5 hours to minutes
4.5 hours = 270 minutes
6:30 = ?:270
Divide 270 and 30
270/30 = 9
Then multiply 6 and 9
9*6 = 54
The event planner can set up 54 tables in 4.5 hours(270 minutes)
54 tables
Which expression gives the solutions of -5 + 2x^2 = -6x?
Answer:
the correct answer is: D
enter the value for x that makes the equation 4x-2+3x-7 true
Answer:
I think the answer is
[tex]x = \frac{9}{7} [/tex]
Step-by-step explanation:
Reason :
[tex]4x - 2 + 3x - 7 = 0 \\ collect \: like \: terms \\ 4x + 3x - 7 - 2 = 0 \\ 7x - 9 = 0 \\ 7x = 9 \\ x = \frac{9}{7} [/tex]
Therefore
[tex]x = \frac{9}{7} [/tex]
Which equation models a proportional relationship with the unit rate of 3?
Y = 3
Y = 3x
Y = x+3
Y = 3x + 3
pls help!________________
Answer:
I think your right but I'm not sure yet
Answer:
SCI or ICS
Step-by-step explanation:
The largest line will have the largest angle opposite to it, so angle SCI is the correct choice.
PLEASE HELP
I don’t understand
DONT USE ME FOR POINTS
Answer:
d = 364 feet
Step-by-step explanation:
Given that,
The pressure at depth d is given by :
[tex]P=13+\dfrac{8}{13}d[/tex]
Pressure under water is found to be 237 pounds per square foot
Now, put P = 237 to find d. So,
[tex]237=13+\dfrac{8}{13}d\\\\237-13=13+\dfrac{8}{13}d-13\\\\224=\dfrac{8}{13}d\\\\d=\dfrac{224\times 13}{8}\\\\d=364\ ft[/tex]
So, the depth is equal to 364 feet.
factor completely;
3x^2+4x-7
Answer:
(3x-7) (x+1)
Step-by-step explanation:
3x^2 - 4x - 7
First split the middle term
3x^2 + 3x - 7x - 7
Make into two separate expressions
(3x^2 + 3x) (-7x-7)
Take out what you can
3x (x+1) -7 (x+1)
Now you have your answers
(3x-7) (x+1)
The radius of a circle is 4 yards. What is the circle's area? r=4 yd Use 3.14 for .
A = 50.24
To find the area of a circle we can use the following equation
[tex]A = r^2\pi \\A = 4^2\pi \\A = 16\pi \\\\A = 16*3.14\\A = 16*3.14\\\\A = 50.24[/tex]
Which answer choice correctly complete the sentence? Asking the "Did you Check" questions is an important step in the Problem Solving Plan because you can A. determine if your answers are reasonable. B. organize your thoughts. C. understand the problem better. D. define your strategy easier.
Answer:
A
Step-by-step explanation:
Checking something is a way to see if your answer is reasonable.
What is the axis of symmetry for y=8x2+2x−6?
Answer:
y=2( x - [tex]2^{2}[/tex])-2
Step-by-step explanation:
Use the vertex form, y=a(x - [tex]h^{2}[/tex])+k to determine the values of A,H,K
a=2
h=2
k= -2
Since the value of a is positive the parabola opens up.
Find the vertex (h,k)
(2, -2)
Find p the distance from the vertex to the focus.
[tex]\frac{1}{8}[/tex]
Find the focus
(2, -[tex]\frac{15}{8}[/tex])
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x=2
Use the distributive property to write an equivalent expression.
10(5v+3)
Answer:
50v + 30
Step-by-step explanation:
you just multiply what's outside the bracket so 10 with the inner numbers and variables
Answer:
50v + 30
Step-by-step explanation:
big brain
PLS HELP ME THIS IS Probability (Single event) PLS HELP ME
Answer:
Hi! The answer to your question is D. 7/6
Step-by-step explanation:
☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆
☁Brainliest is greatly appreciated!☁
Hope this helps!!
- Brooklynn Deka
Express the function graphed on the axes below as a piecewise function
Answer:y = 2/3x +6 for x< -3
Step-by-step explanation:
Find the value of x and y that will make each quadrilateral a parallelogram.
Step-by-step explanation:
2x+5=3x-12
or, 2x-3x=5-12
or, -x= -7
i.e X=7
again
y+4=3x+2
or, y+4=3*7+2
or, y+4=21+2
or, y+4=23
or, y =23-4
i.e y = 19
hence, the value of X is 7 and y is 19
the exact volume is ___ pi cm^3
Answer: 54π
Step-by-step explanation: volume = π · r^2 · h
Briainliest Simplify 15√90/√125
options
9√2
18√5
18√2/5
27√2/5
Answer:
9√2
Step-by-step explanation:
simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Exact form:9√2
Decimal form: 12.72792206
helppp please
(Will give brainliest)
Answer:
5 and 5/8 cups
Step-by-step explanation:
3x 1 7/8
3 21/8
5 5/8
Answer:
5 5/8
Step-by-step explanation:
I took a screenshot of the steps
please helppp , im desperate !!
Answer:
-8
Step-by-step explanation:
The Morris family just bought 8 crates of eggs, and each crate had 12 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?
They now have 30 eggs
I need a bf
Answer:
105 eggs
Step-by-step explanation:
Total eggs they bought = ( 8×12) = 96 eggs
They already had 9 eggs so adding 96 and 9 gives us 105 eggs in total
Skylar does 3/10 of the work. Riley 2/5 does of the work. How much more does this person do?
Answer:
1/10
Step-by-step explanation:
we already know skler has done 3/10s we make Rileys into 4/10 4/10 minus 3/10 is 1/10
0.4-0.3=0.1
The person does about 1/10, 0.1, and 10% more.
ABCD is a cyclic quadrilateral (inscribed quadrilateral). Find the value of x and the measures of all the angles.
Answer:
Step-by-step explanation:
The "trick" to this problem is knowing that opposite sides of the box add up to 180°
Now that you know that maybe you can solve this?
180= 7x+2 + 6x-4
180 = 13x -2
182 = 13x
14 = x
find y now to find all the angles
180 = 2y + 4 +4y - 4
180 = 6y
30 = y
now solve the x expressions and the y expressions
7x+2
7(14)+2
98 + 2
D= 100°
6x-4
6(14)-4
84-4
B = 80°
2y + 4
2(30) + 4
60 + 4
A = 64°
4y-4
4(30)-4
120-4
C = 116°
Pls help this is due today
Answer:
Option C sounds correct to me.
Step-by-step explanation:
Have a nice day!
and can I maybe have brainliest?
The cost of electricity is obtained as follows: A fixed charge of $(a), rent of a meter $(b) and a charge of (c) cents for unit of electricity supplied Determine the total cost of using n units of electricity.
Answer:
$(a + b) + cn cent
Step-by-step explanation:
Given :
Fixed charge = $a
Rent of a meter = $b
Charge per unit of electricity = c cents
The total cost of using n units of electricity :
For n units of electricity ;
Fixed charge is paid once
Meter rent is paid once
The cost of electricity = (number of units * cost per unit) = (n * c) = nc cents
Total cost of n units of electricity :
$(a + b) + cn cent
6th grade advanced / 7th grade
5 x (-2w - 4) = (__)
A cookie recipe calls or 3/4?cups of chocolate chips. You only want to make 2/3 as many cookies as the recipe makes. How many cups of chocolate chips do you need ?
Help please !!!!!!!!
Answer:
ITS B
Step-by-step explanation:
I GOT IT ALL RIGHT
Which monomial represents the number of square units in the area of a circle whose radius is 4x^3 units?
O 8πx^5
O 16πx^9
O 8πx^6
O 16πx^6
Answer:
8x^6 esa es la respuesta correcta...