Simplify the ratio 25 :15
Answer:
5/3
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 25 and 15 is 5
Divide both the numerator and denominator by the GCD
25 ÷ 5
15 ÷ 5
Reduced fraction:
5
3
Therefore, 25/15 simplified to lowest terms is 5/3.
brailiest pls hope it helps
ILL GIVE BRAINLEST, find the value of x
Answer:
22.5 degrees
Step-by-step explanation:
We know that this full angle measures 90 degrees
and in the problem, it says that CBD is 1/4 of the full thing
so we can do
90/4=22.5
Answer:
22.5
Step-by-step explanation:
CBD is 25% of ABC
ABC is 90 degrees
25% of 90 is 22.5
x=22.5
The ratio of apples to oranges on the shelf is 6:5. If there are 220 pieces of fruit on the shelf, how many of each kind are there?
Answer:
120 apples and 100 oranges
Step-by-step explanation:
6/11 x 220 = 120 apples
5/11 x 220 = 100 oranges
Which expression is equivalent to (2g^5)^3
Answer:
Your answer should be 8g^15
Step-by-step explanation:
If cubed (power of 3) is on a parenthesis, that means you have to cube every expression inside that parenthesis. In order to distribute exponents, mutliply them. This gives you g^5 times ^3, which is g^15. ^3 has to also be distributed to the 2, which is 2^3 = 8. 8 and g^15 is 8g^15.
how do you multiply a fraction with a mixed number
Answer: Covert the mixed number to an improper fraction for them to be too simple fractions and multiply them.
Step-by-step explanation:
By multiply fraction by a mixed fraction you will have to rewrite the mixed number as an improper fraction.
For example ,
1 1/2 is a mixed fraction. If you convert it to improper fraction, you will get 3/2 then you multiply.
Write an expression to represent the product of 6 and the square of a number plus 15. In your expression what is the value of the coefficient? A. 1 B. 6 C. 15 D. 2
Answer:
B) 6
Step-by-step explanation:
Let the number be x
Product of 6 and square of number plue 15 : (6x²) + 15
Coefficient of x² = 6
Calculate the equivalent ratio 1.25 : 3.75 : 7.5
The equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
To calculate the equivalent ratio of 1.25 : 3.75 : 7.5, we need to find a common multiplier that can be applied to all the numbers in the ratio to make them whole numbers. In this case, the common multiplier is 4 because it can be multiplied to each number to eliminate the decimals.
By multiplying each number in the ratio by 4, we get:
1.25 * 4 = 5
3.75 * 4 = 15
7.5 * 4 = 30
So the equivalent ratio of 1.25 : 3.75 : 7.5 is 5 : 15 : 30.
This means that the relative sizes or quantities represented by the original ratio are maintained in the equivalent ratio. For example, if we had 1.25 units of something, it would be equivalent to 5 units in the new ratio, and if we had 7.5 units, it would be equivalent to 30 units in the new ratio.
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fill in the box in the column of the expression that is equivalent to each expression on the side of the chart
The equivalent of the expressions are solved to given the following
2(4x + 3y) - 2x - 2y = 2(3x + 2y)2(4x + 3y) + 2(x + y) = 2(5x + 4y)2(4x + 4y) - 2x + y = 3(2x + 3y)How to find the equivalent expressionsThe distributive property of multiplication is applied to find the equations as follows
2(4x + 3y) - 2x - 2y
= 2(4x + 3y - x - y)
= 2(3x + 2y)
hence the given equation can be rewritten as 2(3x + 2y)
2(4x + 3y) + 2(x + y)
= 2(4x + 3y) + 2x + 2y)
= 2(4x + 3y + x + y)
= 2(5x + 4y)
hence the given equation can be rewritten as 2(5x + 4y)
2(4x + 4y) - 2x + y
= 8x + 8y - 2x + y
= 6x + 9y
= 3(2x + 3y)
hence the equivalence of the given equation is 3(2x + 3y)
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The graph of this line shows the total amount Katrina earns for working a corresponding number of hours. How much did Katrina earn for working 7 hours?
The correct statement is that for each hour, the earnings go up by $7. Option A
What is straight line graph?If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.
We can find the slope of the graph to know as said above;
m = y2 - y1/x2 - x1
m = 14 - 0/2 - 0
m = 7
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A survey asks people if they like science fiction or fantasy books. 114
people like sci fi and fantasy. 96 like sci fi but do not like fantasy. 210 do
not like sci fi and do not like fantasy. 318 do not like sci fi. What is the total
number of people who like fantasy?
The total number of people who like fantasy is 222.
Option A is the correct answer.
We have,
From the table
The number of people who like fantasy but do not like Sci-Fi.
= x
Now,
We can write an equation from the table as,
x + 210 = 318
Solve for x.
x = 318 - 210
x = 108
Now,
From the table again,
We can make an equation as,
114 + 108 = 222
This is the total number of people who like fantasy.
Thus,
The total number of people who like fantasy is 222.
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Which of the following is a statistical question that can result in numerical data?
What is the name of your favorite pizza store?
How many hours this week did you spend on homework?
How many times did you go swimming this year?
How many pink erasers do the students in your class have?
A statistical question that can result in numerical data is How many times did you go swimming this year? So, the correct option is A).
The statistical question that can result in numerical data is "How many hours this week did you spend on homework?" and "How many times did you go swimming this year?".
These questions involve counting or measuring quantities, which can be represented using numerical data. The other two questions do not involve numerical data and therefore cannot be considered statistical questions that result in numerical data. So, the correct answer is B).
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Answer:
How many pink erasers do the students in your class have?
SOMEONE HELP ME PLS!
Answer:
are u sure this is the question ⁉️
Answer:
x=10 or 4
Step-by-step explanation:
square root of x-7²=x-7
x=3+7 or -3+7=10 or4
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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The figure shows how the yard lines on a football field are numbered. The goal lines are labeled G. A referee was standing on a certain yard line as the first quarter ended. He walked 41
3
4
yards to a yard line with the same number as the one he had just left. How far was the referee from the nearest goal line? Express your answer as a simplified mixed number.
The referee was BLANK yards away from the goal line before moving.
YOU WILL DO YOU GOOD LUCK
Step-by-step explanation:
Determine the midpoint of segment AB when Al-7, 10) and B(13,-4).
Answer:
(3, -7)
Step-by-step explanation:
The midpoint of a line segment is a point that lies halfway between 2 points. The midpoint is the same distance from each endpoint.You can find the midpoint of a line segment given 2 endpoints, (x1, y1) and (x2, y2). Add each x-coordinate and divide by 2 to find x of the midpoint. Add each y-coordinate and divide by 2 to find y of the midpoint.
Answer:
(3, 3)
Step-by-step explanation:
In general midpoint (x, y) of a line segment AB with A( \(x_{A} , y_{A}\)) and B(\(x_{B} ,y_{B}\))
is \((\frac{x_{A} +x_{B} }{2} , \frac{y_{A} +y_{B} }{2} )\)
The mid point of AB in our case where A(-7, 10) and B(13,-4).
x coordinate is at ( -7+13)/2 = 6/2 = 3
y coordinate is at (10+ -4)/2 = 6/2 = 3
Find the measure of angle A.A5x + 84x + 874°
In order to answer the question, we are going to use the property that tells us that the sum of the internal angles of a triangle should give 180 degrees:
so in our case, angle A + angle B + angle C = 180
that is:
(5 x + 8 ) + (4 x + 8) + 74 = 180
combining like terms on the left:
9 x +16 + 74 = 180
9 x + 90 = 180
subtracting 90 from both sides:
9 x = 90
dividing by 9:
x = 90/9 = 10
So x is 10 degrees, therfore :
A = 5 x + 8 = 5 (10) + 8 = 58 degrees
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation: get smarter
Solve: 2m³-5m² - 7m = 0
Answer:
m = - 1 , m = 0 , m = \(\frac{7}{2}\)
Step-by-step explanation:
2m³ - 5m² - 7m = 0 ← factor out common factor m from each term
m(2m² - 5m - 7) = 0
factorise the quadratic 2m² - 5m - 7
consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term
product = 2 × - 7 = - 14 and sum = - 5
the factors are + 2 and - 7
use these factors to split the m- term
2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )
2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term
(m + 1)(2m - 7)
then
2m³ - 5m² - 7m = 0
m(m + 1)(2m - 7) = 0 ← in factored form
equate each factor to zero and solve for m
m = 0
m + 1 = 0 ( subtract 1 from both sides )
m = - 1
2m - 7 = 0 ( add 7 to both sides )
2m = 7 ( divide both sides by 2 )
m = \(\frac{7}{2}\)
solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)
The measure of ∠1 =
a. 110
b. 62.5
c. 55
Answer:
option C
Step-by-step explanation:
solve the equation x/4 -7=y for x
Answer:
\(x=4y+28\)
Step-by-step explanation:
\(\frac{x}{4} -7=y\)
\(\frac{x}{4} =y+7\)
\(x=4(y+7)\)
\(x=4y+28\)
Answer:
\(x = 4(y + 7)\\x=4y+28\)
Step-by-step explanation:
\( \frac{x}{4} - 7 = y \\ \frac{x}{4} = y + 7 \\ x = 4(y + 7)\\=4y+28\)
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The volume, V of a cylinder is given V = πr\(V=\pi x^{2} h\) what happens to the volume as h increases?
9514 1404 393
Answer:
the volume increases in proportion to h
Step-by-step explanation:
If only the value of h is changing, then the volume formula is equivalent to ...
V = kh . . . . . where k = πr², a constant
That is, the volume is proportional to h.
If h is increasing, the volume is increasing proportionally.
A new car is purchased for 22400 dollars. The value of the car depreciates at 11% per year. To the nearest tenth of a year, how long will it be until the value of the car is 5000 dollars?
Answer:
t= 12.9 years
Step-by-step explanation:
Timmy has a collection of 95 coins consisting of dimes and nickels in his bank, The total value of his bank is $6.50. How many dimes are in his collection? How many nickels are in his collection?
Timmy has a collection of 95 coins consisting of dimes and nickels in his bank, The total value of his bank is $6.50. We can infer that he has 60 nickels and 35 dimes.
Define equation.In algebra, an equation is a declaration of equivalence that includes one or more variables or unknowable quantities.
Given,
Timmy has a collection of 95 coins consisting of dimes and nickels in his bank, The total value of his bank is $6.50.
Set d and n to the appropriate numbers.
Timmy has 95 coins in total, all of which are dimes and nickels, as far as we know.
Equation,
So d + n = 95
His bank is worth a total of $6.50.
A nickel is worth $0.05, while a dime is worth $0.10.
So
0.10d + 0.05n = $6.50
Take note that we have just produced an equation system that we can solve.
The two equations exist.
D + n = 95
and
0.10d + 0.05n = 6.50.
The replacement approach is probably going to be the simplest way to solve this problem out of all the options available to us.
First, we'll want to change the second equation's terms so that one of the variables is defined.
d+ n = 95
Take d off on both sides.
n = 95 - d
Now, let's define "n."
After defining one of the variables, we can now enter (or replace) its value in the other equation. After replacing it, we can find a solution for the other variable.
0.10d + 0.05n = 6.50
n = 95 - d
0.10d + 0.05(95 - d) = 6.50
We now determine d.
0.10d + 0.05(95 - d) = 6.50
distribution of the 0.05 in step 1
0.05 × 95 = 4.75
and
0.05 × -d = -0.05d
0.10d + 4.75 - 0.05d = 6.50
Step 2: Add like terms together (0.10 - 0.05) to get 0.05
0.05d + 4.75 = 6.50
step 3: Take 4.75 off of each side.
0.05d = 1.75
step 4: Subtract 0.05 from both sides.
0.05d / 0.05 = d and 1.75 / 0.05 = 35
d = 35
Now that we know the value of one variable, we can use it to solve for the second variable by plugging it into one of the equations ( note that the equation that we use does not matter, we will acquire the same answer )
d + n = 95
d = 35
35 + n = 95
Take 35 off both sides.
n = 60
We can infer that he has 60 nickels and 35 dimes.
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Jovante decides to start a business by making buttons and selling them for 25 cents each. The button machine costs $125 and the materials for each button cost 10 cents.
Write a cost function, C, that represents the cost in dollars of making n buttons.
a. C(n) = .10n + 125
c. C(n) = 125.10n
b. C(n) = 125n + .10
d. C(n) = n + 125.10
Please select the best answer from the choices provided
Answer:
Step-by-step explanation:
it is I(n) = .25n
Cheryl Bryant completed 24 custom cakes on her 19-cake contract as an employee of Frontier Wedding Planners. There is a bonus earned if the individual exceeds 150% of their piece contract. How many cakes must Cheryl complete in the remainder of the week to receive the bonus?
Answer:
7 weeks
Step-by-step explanation:
because
Find the volume of this perfume bottle: Hint: V =1/3 pi x r^2 x h
The volume of the cylinder cone is 51 cm³.
What is a cone?A cone is a three-dimensional geometric shape with a smooth and curving surface and a flat base, with an increase in the height radius of a cone decreasing to a certain point.
The volume of a cone is (1/3)πr²h.
The total surface area of a cone is πr(r + l).
The curved surface area is πrl.
From the given information the height of the perfume bottle is 12.4 cm and the radius of the perfume bottle is 6.2 cm.
Therefore, The volume of the cylinder is,
= (1/3)π(6.2)²×12.5 cm³.
= 51 cm³
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Ms. Alders has $50 to buy prizes for the treasure box in her classroom. She bought 12 packages of stickers, 8 boxes of pencils, and 14 boxes of erasers. Each package of stickers cost $1.50, each box of pencils cost $1.35, and each box of erasers cost $0.80. How much money did Ms. Alders have left after these purchases?
A.$40.00
B.$10.00
C. $16.00
D $34.00
What Did the Baby Porcupine Say
When It Backed Into a Cactus?
each
Answer:
As baby porcupine is backed into cactus, so the spines of cactus will feel like spines of mother porcupine. So the baby porcupine will give call to its mother.
Step-by-step explanation
He said hi Ma.
. Joaquin played basketball with his friends from 1:10 to 3:35. He arrived home 20 minutes later. How many minutes passed from the time Joaquin started playing basketball until the time he arrived at home?
Answer:
165 minutes
Step-by-step explanation:
To solve for the number of minutes that Joaquin played for, we can use this expression:
(let 'a' represent how much time passed from the time Joaquin started playing basketball until the time he arrived at home)
1:10 + a = 3:35Subtracting 1:10 from each side:
1:10 - 1:10 + a = 3:35 - 1:101:10 - 1:10 cancels out to 0, while 3:35 - 1:10 is equal to 2:25.
So, the expression is now:
a = 2:25So, 2 hours and 25 minutes passed.
If we know that 1 hour is equivalent to 60 minutes, we can use this expression to solve for however many minutes are in 2 hours:
2 × 60 = 120Now we need to add on the number of minutes and the time it took him to get home:
120 + 25 + 20 = 165Therefore, 165 minutes passed from the time Joaquin started playing basketball until the time he arrived at home.
JUST THE FIRST ONE EASY PLS ASAP
Answer:
For the first triangle, x equals 22cm.Here's how:-
x is the altitude or height of the triangle. To find it, we can use the Pythagoras theorem:-
\(altitude^{2} + base^{2} = hypotenuse^{2}\)
The base is 120cm and the hypotenuse is 122cm
Putting this in the equation, we get:-
\(altitude^{2} + 120^{2} = 122^{2}\)
\(altitude^{2} = 122^{2}- 120^{2}\)
\(altitude^{2} = 14884 - 14400\)
\(altitude^{2}\) = 484
altitude = \(\sqrt{484}\)
altitude = 22cmSo, x = 22cm