Mathematics High School

What is the ratio 15 : 24 written in lowest terms?
a. 3 : 5
b. 5 : 8
c. 3 : 4
d. 7 : 8 user: ratio for 6 and 30?

Answers

Answer 1
15:24
divide both sides by 3
b. 5:8
for 6:30
divide both sides by 6
1:5
Answer 2

its b i done the test

Related Questions

Ms.ford is 48 and ms.lincoln is 35. how many years ago was ms.ford exactly twice as old as ms.lincoln

Answers

x=how many years

ago means minus
48-x is age before for Ms. ford
35-x is age before for ms. lincoln

when is ford twice lincoln
f=2l
48-x=2(35-x)
distribute
48-x=70-2x
add 2x both sides
48+x=70
minus 48 from both sides
x=22

22 years ago
ms. ford was 26 and ms lincoln was 13

Algebraic equation is a mathematical way of expressing the way in which two expression are set equal to each other with given conditions. Using the algebraic equation we get that the age of the ms. Ford was exactly twice as old as ms. Lincoln. before 22 years ago.

Given-

The age of the Ms. Ford is 48.

The age of the Ms. Lincoln is 35.

What is Algebraic equation ?

Algebraic equation is a mathematical way of expressing the way in which two expression are set equal to each other with given conditions.

Let x years ago the age of the ms. Ford was exactly twice as old as ms. Lincoln.

Thus x years ago the age of the ms. Ford was [tex](45-x)[/tex]

x years ago the age of the ms. Lincoln was [tex](35-x)[/tex].

Make a equation using the given information. As the x years ago the age of the ms. Ford was exactly twice as old as ms. Lincoln. Therefore,

[tex](48-x)=2(35-x)[/tex]

[tex]48-x=70-2x[/tex]

[tex]2x-x=70-48[/tex]

[tex]x=22[/tex]

Hence, the age of the ms. Ford was exactly twice as old as ms. Lincoln. before 22 years ago.

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express r=2cos(theta)+2sin(theta) as a cartesian function.

Answers

The function is in polar coordinates.

When this is the case, to pass to rectagular (cartesian) coordinates you use:

x = r cos(theta)
y = r sin(theta)

Then,

x = [2cos(theta) + 2sin(theta)]cos(theta) =

= 2 [cos(theta)]^2 + 2sin(theta)cos(theta) = 2 [cos(theta)]^2 + sin(2theta)

y = [2cos(theta) + 2sin(theta)]sin(theta) =

= 2 cos(theta)sin(theta) + 2[sin(theta)]^2 = sin(2theta) + 2[sin(theta)]^2

 

Two equations are given below:

a – 3b = 28
a = b – 2

What is the solution to the set of equations in the form (a, b)?

(–12, –10)
(–15, –13)
(–17, –15)
(–18, –16)

Answers

siince 2nd equation is already equal a, subsitute b-2 for a in the other equation

b-2-3b=28
-2-2b=28
add 2 to both sides
-2b=30
divide both sides by -2
b=-15
sub back
a=b-2
a=-15-2
a=-17

(a,b)
(-17,-15)

3rd choice

The expression below is a sum of cubes.

125x3 + 144
A.True
B.False ...?

Answers

The expression 125x3 + 144 is not a sum of cubes. As 144 is not a cube root of something. So the answer is B.False

An expression is a sum of cubes if it can be written in form of a³ + b³, where a and b can be any constant/variables.

So, this means the given expression 125x³ + 144 can only be sum of cubes if the both the terms i.e. 125x³ and 144 are perfect cubes.

125x³ = (5x)³ . This means 125x³ is a perfect cube. However, 144 is not a perfect cube.

Hence we can conclude that the expression 125x³ + 144 is not a sum of cubes. So the answer to this question if FALSE

A ramp with a constant incline is made to connect a driveway to a front door. At a point 4 feet from the driveway, the height of the ramp is 12 inches. At a point 6 feet from the driveway, the height of the ramp is 18 inches. What is the rate of change of the ramp’s incline?

Answers

At first glance we can think of this as a question just asking for slope of the line like in the diagram. However..

It is not the only way. We could make an equation for slope and find the derivative, but this isnt needed.

12/4 =  3  = 18/6

Another way is to make a small triangle inside the shorter one.

height = (18 - 12)
width = (6-2)

h = 6, w = 2

slope = rise/run = h/w  = 6/2 = "3"

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plz so i rank up :D

List the sample space for rolling two dice and finding the sum of the numbers. How many 8's are there in the sample space? [Assume that rolling a 3 and a 5 is the same as rolling a 5 and a 3.]

Answers

An 8 will occur when you roll a 2 and 6, a 3 and 5, and a 4 and 4. There are 3 8's ine the sample space.

You take out a cash advance of $2,790.00 on a credit card with a 3.5% cash advance fee and a 13.5% APR. What is the amount due by the end of the month?

Answers

The first thing to consider is that when computing the APR for one month you must divide the interest rate by 12 since the 13.5% is based annually. 13.5% is equivalent to .135 in decimal form. But then when we divide it by 12 we get, (.135)/12 = .01125 which is your monthly interest rate versus your annual one. When multiplied by the amount of the cash advance you come up with the following fee: (principle)(monthly int. rate) = total interest charged for month ($2,790)(.01125) = $31.3875 The next thing to consider is the additional charge of the 3.5%. This is equivalent to .035 in decimal form. When multiplied by the amount of the cash advance you come up with the following fee: (principle)(advance int. fee) = total cash advance fee ($2790)(.035) = $97.65 So the total amount due at the end of the month would be $2790 + $31.39 + $97.65 = $2919.04 after interest rates and the additional fee gets applied.

Answer:

$2,920.14

Step-by-step explanation:

cash advance fee: $2,790.00 * 0.035 = $97.65original principal: $2,790.00 + $97.65 = $2,887.651st month interest accrued: ($2,887.65) (0.135)(1/12) = $32.49total due at end of 1st month: $2,887.65 + $32.49 = $2,920.14

Which of the following best describes the graph shown below?

A) This is the graph of a linear function
B) This is the graph of a function, but it is not one-to-one.
C) This is not the graph of a function
D) This is the graph of a one-to-one function

Answers

It does not pass the horizontal line test. The answer is B.

Answer: The answer is (B) This is the graph of a function, but it is not one-to-one.

Step-by-step explanation:  We are given a graph and four options out of which we are to select the statement that best describes the given graph.

Since the graph of a linear function is a straight line, so the first option is not correct.

The given graph is of a function because for a particular value of y, there is a fixed value of 'x'.

Also, since there are two different values of x having same value for y, so the function is not one-to-one. For example, If y = f(x) is the function, then f(1.5) = f(-1) = 3.

Therefore, the graph represents a function, but it is not one-to-one.

Thus, the correct option is (B).

A class of 28 students. the ratio of girls of 3 girls 4 boys. what is the ratio for the number of boys to total number students in the class?

Answers

You need to make a proportion.  Cross multiply then divide

boys          4      x
students    7      28

(4)(28) = 7x
112 = 7x
x= 16

There are 16 boys

A farmer wants to build a pen for his sheep. One side of the pen will be a river. The sheep need about 2000 m2 of area to graze. About what length (x) and width (y) should the organization use to use the LEAST amount of fencing possible?

Answers

the way I did it before I knew calculus, was that when legnth=width, you get max area with minimumperimiter
so L=W= √2000=20√5

legnth and width should be 20√5 meters

the following is calculus
xy=2000  and 2(x+y)=P
solve
ok so
xy=2000
divide both sides by x
y=2000/x
sub 2000/x for y in other equation

2(x+2000/x)=P
2x+4000/x=P
to find the minimum value of this, take the derivitive and find where it equals 0
2-4000/(x^2)=0
2=4000/(x^2)
2x^2=4000
x^2=2000
x=√2000
x=20√5
y=2000/x
y=2000/(√2000)
y=√2000=20√5


x=y=20√5 meters

Which is the last operation performed when evaluating (8-2x)^2+4 for x=3

addition
multiplication
subtraction
applying the exponent

Answers

Addition will be the last operation

The last operation performed when evaluating (8-2x)^2+4 for x=3 is the addition operation.

Functions and values

Equations are known to make up of variables and constants. Given the expression;

(8-2x)^2+4

If x = 3, substitute into the expression to have:

(8-2x)^2+4

= (8-2(3))^2+4
=  (8 - 6)^2 + 4

Evaluate the expression in parenthesis

= 2^2 + 4
= 4 + 4

Add the resulting expression

(8-2x)^2+4  = 8

Hence the last operation performed when evaluating (8-2x)^2+4 for x=3 is addition operation

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Estimate 24% of 33.

a) 17

b) 12

c) 8

d) 2

Answers

8 because the actual answer is 792. 2 is too low and 17 is too high. so is 12

which of PQ and QR contains P

Answers

PQ contains P... im pretty sure

Your office manager used 45 paperclips for handouts at his presentation from the 450 paperclips available in the stock room. What percentage of the original number of paperclips did NOT get used?

Answers

90% of the paperclips were not used.

Answer:

90% of paperclips did not get used.

Step-by-step explanation:

Your office manager used 45 paperclips for handouts at his presentation from the 450 paperclips available in the stock room.

We have to calculate the percentage of the original number of paperclips did not get used.

number of paperclips did not get used = 450 - 45 = 405

the percentage of 405 out of 450 = [tex]\frac{405}{450}[/tex] × 100

                                                         =  0.9 × 100

                                                         = 90%

Therefore, 90% of paperclips did not get used.

When calculated, the two differences given below are equal.

(2x^4-3x^3+2x+4)-(-x^4-3x^3+4x^2+x+3)

5x^4-2x^3+3x^2+3x-4
-(2x^4-2x^3+7x^2+2x-5)
-------------------------

A. True
B. False ...?

Answers

the answer
let be 
A1 = (2x^4-3x^3+2x+4)-(-x^4-3x^3+4x^2+x+3) =
     = 2x^4-3x^3+2x+4 +x^4 +3x^3- 4x^2- x-3
A1= 6x^4 -2x² +x +1
and 
A2= 5x^4-2x^3+3x^2+3x-4-(2x^4-2x^3+7x^2+2x-5)
    = 5x^4-2x^3+3x^2+3x-4-2x^4+2x^3-7x^2-2x+5
A2= 3x^4-4x²+x+1

A1 is not equivalent to A2
so the answer is B. False 

What part of the coordinate plane is equidistant from the points A(-3,2) and B(3,2)? Explain your answer.

Answers

we have that
points A(-3,2) and B(3,2)

we know that
The locus of points equidistant from two given points in a plane, is the straight line which is the perpendicular bisector of the segment connecting the two given points.

using a graph tool
see the attached figure

the answer is
The straight line x= 0 (which is "y-axis") is the locus of points that are equidistant from the given points

Answer;

(0,2)

Step-by-step explanation:

Rewrite 6 as a decimal number.

Answers

6 integer? Well if that's the case, your answer will be 6.0
6 or 6% is written as 0.06

Jackie has some yellow, red, green, and blue cubes. Exactly 1/6 of the cubes are blue and 1/8 of the cubes are red. What is the number of cubes Jackie might have?

Answers

The least common denominator of both of those fractions is 24.
24 cubes

What is the common difference d of the sequence?

9, −8, −25, −42, −59, ...

Answers

It's -17 for every number.

Solve for x: 2|x − 3| + 1 = 7

x = 0, x = 6
x = −1, x = 6
x = 0, x = 9
No solutions

Answers

***SOLVE FOR X***


Answer:
x=6 or x=0

What is the slope of a line that runs parallel to y = x + 14?

Answers

Hello, the slope of the line that runs parallel to y = x + 14 would be 1. Since the new line would be parallel, the slope stays the same (there is a 1 in front of the x) but the y-intercept would change. Hope this helps! :)
Since a line that is parallel to another has the same slope, you can say:

The slope of y = x + 14 is 1

The slope of the parallel line will be 1 as well

What is substitution property of equality?

Answers

A rule used in algebra. If known that y = x, then you can substitute x in for y in any equation and visa verse. 

A BOOKSTORE ORDERED 2 GROSS, 11 DOZEN AND 7 PENCILS. EXPRESS THIS NUMBER IN BASE TWELVE AND BASE TEN? ...?

Answers

A dozen = 12A gross = 12 dozen
In base 10, the bookstore ordered 11*12+12*12+7 = 283 pencilsIn base 12, the bookstore ordered 23 dozen +7 = 1B7 pencils

28310=1B77

find the quotient of 1 1/3 and 5/6..
Can you please show me the steps? thank u ...?

Answers

1 1/3= 1 2/6=8/6 8/6÷5/6=8/5
In order to find the quotient of the given fractions above, the first thing we need to do is to convert the mixed fraction into an improper fraction.
1 1/3 is 4/3. 
So now that we have 4/3 and 5/6, we now proceed to the division process.
4/3 divided by 5/6. The first thing to do is to turn the second fraction upside down which will look 6/5. Then proceed to multiplication.
4/3 x 6/5 and we get 24/15. The last step would be to simplify this and the final answer is 8/5 or 1 and 3/5. Hope this answer helps.

What are the values for the coefficients and constant term of 0 = 2 + 3x2 – 5x?

A=
B=
C=

Answers

Keywords:

Polynomial, variable, coefficients, constant term.

For this case, the first thing we must do is rewrite the polynomial in a standard way. For this, we reorder the polynomial coefficients.

The standard form of the polynomial is:

[tex]ax ^ 2 + bx + c[/tex]

Where,

a, b, c: are the coefficients of the polynomial.

x: is the variable

Rewriting the polynomial we have:

[tex]3x ^ 2-5x + 2[/tex]

Comparing with the standard form we have that the values of the coefficients are given by:

[tex]a = 3\\b = -5\\c = 2[/tex]

Answer:

The values for the coefficients and constant term are:

[tex]a = 3\\b = -5\\c = 2[/tex]

Answer:

a= 3 b= -5 c=2

Step-by-step explanation:

i just did it on edge

how many times does 8 go into 64

Answers

Eight goes into eight , eight times. 8 times 8= 64
8x8=64 same as 8+8+8+8+8+8+8+8. Answer is 8.

The scale factor of the blueprint of a garage door to the actual garage door is 0.05. the are of the actual garage door is 220 ft^2.

What is the area of the garage door on the blueprint?

A. 0.55ft^2
B. 5.5ft^2
C. 11ft^2
D. 55ft^2

Answers

The scale factor 0.05 refers to length, so for area the scale factor is 0.05²=0.0025.

We then multiply: 220 ft²*0.0025=0.55 ft² (choice A)

Answer:

option A

[tex]0.55\ ft^{2}[/tex]

Step-by-step explanation:

Let

x-------> the area of the garage door on the blueprint

y------> the area of the actual garage door

z------> scale factor

we know that

The scale factor squared is equal to the area of the garage door on the blueprint divided by the area of the actual garage door

so

[tex]z^{2}=\frac{x}{y}[/tex]

In this problem we have

[tex]z=0.05, y=220\ ft^{2}[/tex]

substitute the values and solve for x

[tex]0.05^{2}=\frac{x}{220}[/tex]

[tex]x=220(0.05^{2})[/tex]

[tex]x=0.55\ ft^{2}[/tex]

Rachel works at a bookstore. On Tuesday, she sold twice as many books as she did on Monday. On Wednesday, she sold 6 fewer books than she did on Tuesday. During the three days Rachel sold 19 books. Create an equation that can be used to find m, the number of books Rachel sold on Monday.

Answers

The answer is 5 books.

m - the number of books sold on Monday
t - the number of books sold on Tuesday
w - the number of books sold on Wednesday

On Tuesday, she sold twice as many books as she did on Monday: t = 2m
On Wednesday, she sold 6 fewer books than she did on Tuesday: w = t - 6
During the three days Rachel sold 19 books: m + t + w = 19

t = 2m
w = t - 6 = 2m - 6
m + t + w = 19
______
Substitute t and w in the third equation:
m + 2m + 2m - 6 = 19
5m - 6 = 19
5m = 19 + 6
5m = 25
m = 25 : 5
m = 5

Using the side lengths of △PQR and △STU, which angle has a sine ratio of 4/5?

A. P
B. Q
C. T
D. U

Answers

Using the side lengths of △PQR and △STU, which angle has a sine ratio of 4/5?

Answer is A. ∠P

The angle that has the sine ratio, 4/5, is: A. Angle P.

What is the Sine Ratio?

Sine ratio is the ratio of the opposite side over the hypotenuse of the right triangle in respect to the given reference angle.

Given, sine ratio of 4/5, then it means:

Opposite side (side directly opposite to the reference angle) = 4

Hypotenuse (longest side) = 5.

Thus, in the image given, using P as the reference angle, the sine ratio of P is:

QR/PQ = 16/20 = 4/5

Therefore, the angle with the sine ratio of 4/5 is: A. P.

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6w-y=2z, Solve for the value of w

Answers

6w-y=2z 6w=2z+y w=(2z+y):6 w=(z:3)+(y:6)
to solve this 6w-y=2z equation for the value of w 
we will keep w on the left side and will take remaining on the right side6w=2z+yw=(z/2)+(y/6)  
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