1.Which fraction is the ratio expressed in simplest form?
24:18
A. 12/9
B.8/6
C.4/3
D.6/1

2.the ratio of two numbers is 1 to 4 and the sum of the numbers is 45 what is the smallest number?
A.10
B.9
C.8
D.7

3.what is 490% written as a decimal?
A. 4.9
B.49
C. 4900
D. 0.0049

4. What is 0.5% written as a decimal?

A.0.5
B.00.5
C.0.25
D. 0.005

Hello there!

[tex]32+(-17)[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓

First you had to remove parenthesis.

[tex]32-17[/tex]

Then you had to subtract by the numbers.

[tex]32-17=15[/tex]

[tex]=15[/tex]

Answer⇒⇒⇒=15

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

No, statement 32+(-17) is 17 units from 32 in the positive direction direction is true is a false statement.

we have to check the statement 32+(-17) is 17 units from 32 in the positive direction is true or not.

If the object moves in opposite then the velocity of it is negative.

The given statement is  32+(-17) .

We need to check is 17 units from 32 in the positive direction direction true or not.

By the definition of negative direction, -17 is in negative direction.

32+(-17), 17 has negative Direction

Therefore 32+(-17) is 17 units from 32 in the positive direction is false.

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You need to provide more information in order for us to help you with this.

Answer: 50ft

Step-by-step explanation:

i had the same problem, i guessed and got it right.

3y² + y² + 9y  + 3

Simplify. Combine like terms.

(3y² + y²) = 4y²

4y² + 9y + 3 is your answer

hope this helps

~Rise Above the Ordinary

Hello,

1mph = 1.60934kph

70 x 1.60934 = 112.6538

Answer:

70mph = 112.6538kph

Total number of oz of honey = 12 oz.

Cost of 12 oz of honey  = $5.40.

Cost per oz of honey = 5.40 divided 12 = $0.45 per oz.

Therefore,

a) Cost per ounce of honey = $0.45.

b) Number of ounces we can buy for one dollar = 12 divided by 5.40 = 2.22 oz approximatly.

c)

h = 2.22c, wherr h is the number of ounces of honey for c dollars.

c=0.45h, where c is the total cost of h number of ounces of honey.

d) Let us take c=0.45h equation for graph the situation.

x-axis would be for h number of ounces of honey and y-axis is the total cost c of h ounces of honey.

Let us find some values of h and c for the graph.

For equation: c=0.45h for h=1,we get c=$0.45.

If we plug h=2, we get c= 0.45*2 = $0.90.

If we plug h=3, we get c= 0.45*3 = $1.35.

Therefore, we would plot (1,0.45), (2,0.90) and (3,1.35) on the graph and draw a straight line.

The relationship between the honey bear and the rates is an illustration of a linear function.

(a) The unit price of honey

From the question, we have:

[tex]\mathbf{\$5.40 = 12oz}[/tex]

So, the unit rate is:

[tex]\mathbf{Unit = \frac{\$5.40}{ 12oz}}[/tex]

[tex]\mathbf{Unit = \$0.45\ per\ oz}[/tex]

The price of honey per ounce is $0.45

(b) Quantity of honey for $1

In (a), we have:

[tex]\mathbf{Unit = \$0.45\ per\ oz}[/tex]

Take the inverse

[tex]\mathbf{Qty = \frac{1}{0.45}}[/tex]

[tex]\mathbf{Qty = 2.22}[/tex]

$1 will buy you 2.22 ounce of honey

(c) Different equations

Let represents the cost of honey, and h represent the ounce

In (a), we have:

[tex]\mathbf{Unit = \$0.45\ per\ oz}[/tex]

As an equation, it becomes

[tex]\mathbf{c = 0.45h}[/tex]

In (b), we have:

[tex]\mathbf{Qty = 2.22}[/tex]

As an equation, it becomes

[tex]\mathbf{h = 2.22c}[/tex]

Hence, the equations for this situation are [tex]\mathbf{h = 2.22c}[/tex] and [tex]\mathbf{c = 0.45h}[/tex]

(d) The graph

See attachment for the graph of [tex]\mathbf{c = 0.45h}[/tex]

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yes. there is an equation.

Total amount of money spent: 305.42

Money spent the first month: 213.20

Money spent on the second month: ??

Subtract 305.42 - 213.20= Amount of money spent the second month

Answer: 92.23

In Mathematics, the solution to this subtraction problem is to subtract the amount spent in the first month, $213.20, from the total amount spent on groceries, $305.43. The result is $92.23, the amount spent in the second month.

This appears to be a simple subtraction problem within the domain of Mathematics. If the total amount spent on groceries is $305.43 and she spent $213.20 in the first month, then to find out how much she spent in the second month, you need to subtract the amount spent in the first month from the total amount.

To solve this, you do the following calculation: $305.43 - $213.20 = $92.23.

Therefore, she spent $92.23 on groceries in the second month.

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Answer:

2 * 2 * 113

Step-by-step explanation:

452: 2 * 226

226: 2 * 113

113 is a prime number

452: 2 * 2 * 113

452: 2^2 * 113

The answer is 6.

If we know that you get 3 greens for every 4 oranges then all we need to do is extrapolate.

The ratio of orange picks to green picks is 4:3. Given 8 orange picks, we use a proportion to find that there are 6 green picks. Therefore, there are 6 green picks.

To solve this, set up a proportion:

Cross-multiply to find the value of x:

Divide both sides by 4:

Therefore, there are 6 green picks.

Hence, if there are 8 orange picks, then there are 6 green picks.

Answer:

Option B. 66 cookies

Step-by-step explanation:

The complete question is

Bella is baking chocolate chip cookies for an event. It takes 3/5 of a cup of flour to bake 6 cookies. She uses 1 1/10 cups of flour for every 50 chocolate chips used. There are a total of 150 chocolate chips for each tray of cookies. If Bella is baking 2 trays of chocolate chip cookies, then how many cookies will she bake in total?

step 1

we know that

There are a total of 150 chocolate chips for each tray of cookies

Find out the number of chocolate chips if Bella  is baking 2 trays

so

using proportion

Let

x ----> the number of chocolate chips

[tex]\frac{150}{1}=\frac{x}{2}\\\\x=150(2)\\\\x=300\ chocolate\ chips[/tex]

step 2

we know that

She uses 1 1/10 cups of flour for every 50 chocolate chips used.

Find out the number of cups of flour for 300 chocolate chips

so

using proportion

Let

x ----> the number of cups of flour

Convert mixed number to an improper fraction

[tex]1\frac{1}{10}\ cups=\frac{1*10+1}{10}=\frac{11}{10}\ cups[/tex]

[tex]\frac{(\frac{11}{10})}{50}=\frac{x}{300}\\\\x=\frac{66}{10}\ cups[/tex]

Simplify

[tex]\frac{66}{10}\ cups=\frac{33}{5}\ cups[/tex]

step 3

we know that

It takes 3/5 of a cup of flour to bake 6 cookies

Find out the number of cookies she bake for 33/5 cups of flour

so

using proportion

Let

x -----> the number of cookies

[tex]\frac{6}{(3/5)}=\frac{x}{(33/5)}\\\\x=6(33)/3\\\\x=66\ cookies[/tex]

Answer:

66

Step-by-step explanation:

i guessed a got correct

Answer:

The total number of students in a survey is 300.

Let the number of junior male(JM) be x and the number of senior males(SM) be y.

Let the number of junior female(JF) be p and the number of senior males(SF) be q.

It is given that there are 160 males, 80 junior females, 130 seniors.

Since number of males are 160. So the number of females are,

[tex]300-160=140[/tex]

Since number of junior females is 80.

[tex]JF+SF=140\\80+SF=140\\SF=60[/tex]

Since number of seniors are 130.

[tex]SM+SF=130\\SM+60=130\\SM=70[/tex]

Since number of males is 160.

[tex]JM+SM=160\\JM+70=160\\JM=90[/tex]

Therefore, the table and venn diagram is shown below.

Answer:

not a valid study

Step-by-step explanation:

Given that

Kai is conducting a study about the percentage of students with jobs. His school has 2500 students. He asks everyone in his drama class to participate in a survey. He bases his findings on these results.

Just selecting only students in his drama class to form the sample will not give accurate results since samples are not drawn at random.  The sample done is convenient sample saving time, but failing to represent the entire student population with jobs.

THe best sample would be group the students with jobs and select from the group at random a sample size proportional to the population size.

We are given two binomials: x+4 , x^2-9.

x+4 can't be factored. Therefore,  it is a prime.

Let us work on x^2-9.

9 could be written as 3^2.

Therefore, x^2-9 = x^2 - 3^2.

Now, we can apply difference of the squares formula to factor it.

We know a^2 -b^2 = (a-b) (a+b).

Therefore,  x^2 - 3^2 can be factored as (x-3) (x+3).

So, x^2-9 is not a prime binomial because it can be factored as (x-3) (x+3).

Answer:

difference-of-squares

Step-by-step explanation:

x + 4 is prime

x2 – 9 can be factored using the

difference-of-squares  formula.

Answer: 1  7/15

We need to figure out how we got that answer...

17x-6+3x-5= x+11+4x

17x-11+3x=x+11+4

20x-11=x+11+4x

20x-11=5x+11

Make sure to subtract 5x

20x-11-5x=11

15x-11=11

Make sure to add 11

15x=11+11

15x=22

Make sure to divide by 15

x= 22/15

x= 1   7/15

Hope this helps...

-Justin0208

When we have two or more given numbers, we can find the largest factor that both numbers have in common. This is called the GCF or the Greatest Common Factor. ... Example: Find the GCF of 64 and 96. tep 1:

3-6+5 is equal to 2, as opposed to 3-5+6 which is 4. The commutative property is only applicable to positive numbers, in this case, Jerome could have done 5-6+3, which would still equal to 2.

The sign is part of the number.

The first term is +3, the second term is -6, and the third term is +5

In order to use the commutative property so that the -6 and +5 are switched, it would be rewritten as: 3 + 5 - 6

Answer: Jerome did not include the sign with the number when he used the commutative property.

Hey there!!

Given equation :-

... 4y - ( y - 4 ) = -20

Let' re write this equation as :

... 4y -1 ( y - 4 ) = -20

Using the distributive property :

... 4y + ( -1 ) ( y ) + ( -1 ) ( -4 ) = -20

... 4y - y + 4 = -20

Combining like terms :

... 3y + 4 = -20

Subtracting 4 on both sides :

... 3y = -24

Dividing by 3 on both sides :

... y = -24/3

... y = -8

Hope my answer helps!!

The value of y for the expression is y = (16 - 3x)/5

We have,

An expression contains one or more terms with addition, subtraction, multiplication, and division.

Al the like terms on one side of the expression if we are dealing with two sides of an expression.

Expression:

3x + 5y = 16

Subtract 3x on both sides.

3x + 5y - 3x = 16 - 3x

5y = 16 - 3x

Divide 5 on both sides.

y = (16 - 3x)/5

Thus,

The value of y for the expression is y = (16 - 3x)/5

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*(Wednesday)*

1. Simply. Show your work.

[tex]9[/tex] · [tex]5+4[/tex]            Simplify The Exponents

[tex]45+4[/tex]                            Multiply [tex]9[/tex] to [tex]5[/tex]

[tex]49[/tex]                                Add [tex]45[/tex] to [tex]4[/tex]

*(Answer)*= [tex]49[/tex]

2. Model and Solve.

[tex]4[/tex] ÷ [tex]\frac{2}{3}=?[/tex]            Use the KCF strategy

[tex]4[/tex] ÷ [tex]\frac{2}{3}=?[/tex]            K = Keep the whole number or freaction on the left

[tex]4[/tex] · [tex]\frac{2}{3}=?[/tex]             C = Change the division sign to multiply sign

[tex]4[/tex] · [tex]\frac{3}{2}=?[/tex]            F = Flip the fraction or whole number

[tex]\frac{4}{1}[/tex] · [tex]\frac{3}{2}=?[/tex]        Make [tex]4[/tex] into a fraction

[tex]\frac{12}{2}[/tex]          Multiply the numerator to another and the denominator to another

[tex]6[/tex]                         Divide 12 to 2 to simplify the fraction

*(Answer)*= [tex]6[/tex]

3. Based on the diagram, describe how a parallelogram and rectangle are related.

They are the same is because the rectangle is the same as the parallelogram because it is same shade, however, sightly tilted.

4. Solve.

- [tex]\frac{5}{8}[/tex] · [tex]\frac{1}{2}= \frac{5}{16}[/tex]

- [tex]\frac{1}{4}[/tex] · [tex]\frac{4}{5}=\frac{4}{20}=\frac{1}{5}[/tex]

If you want than I can edit the answer to add Thursdays answer

Hope this helps

Person Who Answer: BangtanBoyScouts

*(Information)*=

-This question is asking for a expression

- She has 16 photo on her phone (Since this is a number this is a constant)

- [tex]p[/tex] is the variable  

- Variables are unknown numbers

-Constants is a number like [tex]9, 10, 25, 1,[/tex] and more

*(Answer)*= [tex]p+16[/tex]

*(Explanation)*= Te reason why it is [tex]p+16[/tex] is because p is the unknown number. The constant is 16 in this question.

6 / 3.5 =  1.7  * 14 7/8  25 .5 d

The length of the building using the principle of proportional relationship is 25.50 feets

Setting up a proportional relationship :

Man's height / shadow = Building height / shadow

6 / 3.5 = h / 14.875

Cross multiply :

3.5h = 14.875 × 6

3.5h = 89.25

Divide both sides by 3.5 to isolate h

h = 89.25 / 3.5

h = 25.50 feets

Therefore, the length of the building is 25.50 feets

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You can solve this using proportion.

5 = 4

7 = ?

7(4)/5= 5.6

7 cakes cost £5.6

£5.60

divide £4 by 5 to obtain the cost of 1 cake then multiply this value by 7 for the cost of 7 cakes

5 → £4

7 → £4 × [tex]\frac{7}{5}[/tex] = £5.60

This polynomial would simplified as: -2y^7-2xy^4-x^8y^2-6xy (I'm assuming you meant to square the answers)

If you didn't the answer would be: -30xy-14y

But I'm pretty sure you meant to put the first one!

Answer:

[tex](-2y^{7}-2xy^{4}-x^{8} y^{2}-6xy)[/tex]

Step-by-step explanation:

The given expression is  [tex]xy^{4}+5y^{7}-(6xy-7y^{7})-x^{8}y^{2}(-3xy^{4})[/tex]

We have to simplify the given expression.

[tex]xy^{4}+5y^{7}-6xy-7y^{7}-x^{8}y^{2}-3xy^{4}[/tex]

[tex](xy^{4} -3xy^{4})+(5y^{7}-7y^{7})-6xy-x^{8}y^{2}[/tex]

[tex]-2xy^{4}-2y^{7}-6xy-x^{8} y^{2}[/tex]

[tex]-2xy^{4}-2y^{7}-6xy-x^{8}y^{2}[/tex]

Therefore, simplified form of the expression will be

[tex](-2y^{7}-2xy^{4}-x^{8} y^{2}-6xy)[/tex]

2 x 10³ = 2000

5 x 10 =       50

7 x 10⁻² =       0.07

1 x 10⁻³ =       0.001

              2050.071

First operation is multiplication .

(2000)+(50) +(0.07)+(0.001) =2050.071

Thats a whole number? It can't be rounded to the tenth percent if it doesn't even have a decimal point

But if you mean as a number and not a percent, it would be 9.9

Givens

Let C = number of caterpillars.

Let L = legs on each.

Let T = total number of legs.

Formula

T = C*L

Remark

You need only set up a proportion

Use the given first. Then let x = the number of drops.

1 drop / (1/6 dash) = x / (2/3 dash)

Rather than try and figure out what the fractions are going to do, why not change everything to decimals?

1/0.16666667 = x /0.6666667          multiply both sides by 0.6666667

1 * 0.6666667 / 0.16666667 = x

x = 4. That's the answer you would get if you kept the fractions. But decimals are much easier to handle in cases like this than are fractions.

If you want this in terms of genenerally how many drops would there be then

y = (1/6)*x <<< Answer

Where y is the number of dashes and x is the number of drops.