Select all that apply.
Which of the following ratios are equivalent to 6:8?

1. 36/40

2. 9:12

3. 12 to 16

4. 15/20

5. 24:36

6. 16 to 24

Answer:

a. a side length is (a+8)

b. a=9. (9+8)= 17

17×4= 68 is the perimeter

Answer:

About 191 people

Step-by-step explanation:

Given:

On the subway 8 out of 11 people are carrying a briefcase.

There are 700 people on the subway.

Question asked:

About how many people do not have a briefcase ?

Solution:

By applying unitary method:

Out of 11 people, number of people having  briefcase = 8

Out of 1 , number of people having  briefcase = [tex]\frac{8}{11}[/tex]

Out of 700 people, number of people having  briefcase = [tex]\frac{8}{11} \times700\\[/tex]

                                                                                             = [tex]\frac{5600}{11}[/tex]

Number of people not having  briefcase = [tex]700 -[/tex][tex]\frac{5600}{11}[/tex]

                                                                   = [tex]\frac{7700-5600}{11}[/tex]

                                                                   = [tex]\frac{2100}{11}[/tex] = [tex]190.90[/tex]

Therefore, about 191 people  do not have a briefcase on the subway.

Final answer:

To find how many people do not have a briefcase out of 700, calculate the number of people with a briefcase and then subtract that from the total.

Explanation:

On the subway 8 out of 11 people are carrying a briefcase. This can be represented as 8/11 of the people have a briefcase. To find out how many people do not have a briefcase out of 700 people, we can first calculate the proportion that have a briefcase and then subtract that from the total.

To find the number of people with a briefcase:

Proportion with briefcase: 8/11

Number with briefcase out of 700: (8/11) x 700 = 509.09 (round down to 509)

Therefore, the number of people without a briefcase would be: 700 - 509 = 191 people.

In an isosceles triangle with a base of 7 units, the two other sides have to be greater than 3.5 units but less than 7 units due to the triangle inequality theorem, which means each side must always be shorter than the sum of the other two sides.

An isosceles triangle is a triangle with two sides of equal length. If the base of the triangle is 7 units, the lengths of the other sides could be any value greater than 3.5 units but less than 7 units. This principle is rooted in the triangle inequality theorem which states that any side of a triangle always needs to be shorter than the sum of the other two sides.

So in this case, since the base is 7 units, the other two equal sides (let's call them 'a' and 'b') could be, for example, 5 units each, but don't forget they must fulfill two conditions: firstly, 'a' + 'b' > 7  (which is true if both 'a' and 'b' are more than 3.5 units), and secondly, 'a' + 7 > 'b' as well as 'b' + 7 > 'a' (which are true as long as 'a' and 'b' are less than 7 units). Consequently, both 'a' and 'b' could be a range of lengths, but they must be greater than 3.5 units and less than 7 units in order to ensure that the triangle inequality theorem is respected.

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The solution to the given inequality is [tex]x<-\frac{20}{9}[/tex].

Step-by-step explanation:

Given inequality is;

-45x+12<112

For solving the inequality, we will subtraction 12 from both sides in step 1;

[tex]-45x+12-12<112-12\\-45x<100[/tex]

Now, we will divide both sides by -45

[tex]\frac{-45x}{-45}<\frac{100}{-45}\\\\x<-\frac{100}{45}\\\\x<-\frac{20}{5}[/tex]

The solution to the given inequality is [tex]x<-\frac{20}{9}[/tex].

Keywords: inequality, division

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Answer:

No.

Step-by-step explanation:

4/6 as a decimal is 0.667 whereas 4/2 as a decimal is 2.

;D

7-3=4 feet per hour

50 : 4 = 12,5  hour

The time taken by frog to get out of the well will be equal to [tex]22\frac{6}{7}[/tex] hours.

It is given that a well has a depth of 50 feet and a frog can climb 7 feet/hour but then takes a rest of 1 hour and slips by 3 feet.

We have to find out what time will it take for frog to get out of the well ?

What is the unitary method?

The unitary method is a method in which we find the value of a unit and then the value of the required number of units.

As per the question ;

The frog starts from the bottom of the well.

It is given that the well has a depth of 50 feet.

Frog can climb 7 feet/hour but then takes a rest of 1 hour and slips by 3 feet.

Let's check distance covered by frog in 2 hours ;

1st hour = 7 feet

2nd hour = 7 - 3 = 4 feet

So ,

In 2 hours frog covers a distance of 4 feet.

Hence ,

To climb 44 feet or 4 × 11 feet , the frog will take 2 × 11 or 22 hours

and

To climb rest of 6 feet distance , the frog would take [tex]\frac{6}{7}[/tex] of an hour.

Also ;

It is needed to be mentioned that once the frog reaches at the top of well it won't slip back.

So ,

The total time taken by frog to climb 50 feet deep well will be ;

= [tex]22\frac{6}{7}[/tex] hours

Thus , the time taken by frog to get out of the well will be equal to [tex]22\frac{6}{7}[/tex] hours.

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Answer:

10% of 60 means (10 X 60)/100 so the answer is 6. Similarly 5% of 60 means (5 X 60)/100 , So the Answer is 3.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

[tex](-1,\frac{17}{6})[/tex]

[tex](3,\frac{3}{2})[/tex]

[tex](-5,\frac{25}{6})[/tex]

Step-by-step explanation:

The given equation is [tex]2x+6y=15[/tex]

We substitute the ordered pairs to see which ones satisfies the equation.

For (-1,-8), we put x=-1 and y=-8 to get:

[tex]2(-1)+6(-8)=^?15[/tex]

[tex]-2+-48=^?15\\-50=^?15[/tex]

This is not true.

For [tex](-1,\frac{17}{6}))[/tex] we put x=-1 and [tex]y=\frac{17}{6}[/tex] to get

[tex]2(-1)+6*\frac{17}{6})=15\\ -2+17=15\\15=15[/tex]

This is true

For (3,3/2) we have 2(3)+6(3/2)=15

This implies 6+9=15

15=15

This is also True

For (-5,25/6), we have 2(-5)+6(25/6)=-10+25=15

This is also true.

700 children attended the fair

Solution:

Let "a" be the number of children attended

Let "b" be the number of adults attended

Cost for each children = $ 1.50

Cost for each adult = $ 4

1000 adults attended the fair

b = 1000

One certain day $5050 is collected. Therefore, we frame a equation as:

number of children attended x Cost for each children + number of adults attended x Cost for each adult = 5050

[tex]a \times 1.50 + 1000 \times 4 = 5050\\\\1.5a + 4000 = 5050\\\\1.5a = 5050 - 4000\\\\1.5a = 1050\\\\Divide\ both\ sides\ by\ 1.5\\\\a = 700[/tex]

Thus 700 children attended the fair

Answer:

288

Step-by-step explanation:

You multiply the number of cups by 8 to get how many ounces the cup(s) are.

36 times 8= 288

Note: Your question is missing some details. After a little research, I am able to find the complete question which is as follows:

If the function f(x) = mx + b has an inverse function, which statement must be true?

a) m=/0

b)  m = 0

c) b=/0

d )  b = 0

Answer:

The value of [tex]m[/tex] cannot be equal to 0. In other words,

[tex]m\:\ne \:0[/tex]

Step-by-step explanation:

Considering the function

[tex]f(x) = mx + b[/tex]

Lets find the inverse of this function.

Suppose

Lets exchange the variables [tex]x[/tex] and [tex]y[/tex] such as

[tex]x=my+b[/tex]

Lets isolate the variable [tex]y[/tex]

[tex]my=x-b[/tex]

[tex]y=\frac{x-b}{m}[/tex]

Suppose

[tex]f\left(x\right)^{-1}=y[/tex]

As

[tex]y=\frac{x-b}{m}[/tex]

So, inverse function is

[tex]f\left(x\right)^{-1}=\frac{x-b}{m}[/tex]

As the denominator [tex]m[/tex] cannot be zero in the inverse function.

Thus, the value of [tex]m[/tex] cannot be equal to 0. In other words,

[tex]m\:\ne \:0[/tex]

Keywords: function, inverse function

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Answer:

a

Step-by-step explanation:

The value of x in the diagram given is : 7

What are Alternate Angles ?

These angles are located on the inner side of the parallel lines and on opposite sides of the transversal. Alternate angles are equal.

To solve, equate both values;

4x - 5 = 2x + 9

4x - 2x = 9 + 5

2x = 14

x = 14 / 2

x = 7

The value of x is 7

Answer:

-6 - 11i.

Step-by-step explanation:

(9-7i)–(4i +15)

= 9 - 7i - 4i - 15     Add like terms:

= -6 - 11i.

Answer:

24 hours

24 hours is the solution to 300=10(2)^t/15

After 24 hours the scientist expect to have 300 bacteria cells.

Given :

the number of cells to be given by the formula, where t is the number of hours since the experiment started.

[tex]C=100(2)^{\frac{t}{15} }[/tex]

't' represents the time taken for the cells to grow.

we need to find out the time taken to have 300 bacteria cells.

So, we replace C with 300 and solve for t

[tex]C=100(2)^{\frac{t}{15} }\\300=100(2)^{\frac{t}{15} }\\\frac{100\cdot \:2^{\frac{t}{15}}}{100}=\frac{300}{100}\\2^{\frac{t}{15}}=3\\\frac{t}{15}\ln \left(2\right)=\ln \left(3\right)\\t=\frac{15\ln \left(3\right)}{\ln \left(2\right)}\\t=23.77443[/tex]

So, it takes 24 hours to have 300 bacteria cells.

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[tex]y = \frac{-8}{3}x + 10[/tex] is the equation in slope intercept form

Solution:

Given points are (0, 10) and (3, 2)

We have to find the slope intercept form

Let us first find the slope of line

The slope of line is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

[tex](x_1, y_1) = (0, 10)\\\\(x_2, y_2) =(3,2)[/tex]

Substituting the values we get,

[tex]m = \frac{2-10}{3-0}\\\\m = \frac{-8}{3}[/tex]

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Substitute [tex]m = \frac{-8}{3}[/tex] and (x , y) = (0, 10) in eqn 1

[tex]10 = \frac{-8}{3} \times 0 + c\\\\c = 10[/tex]

[tex]Substitute\ m = \frac{-8}{3}\ and\ c = 10\ in\ eqn\ 1[/tex]

[tex]y= \frac{-8}{3}x + 10[/tex]

Thus the equation of line in slope intercept form is found

(1) ∠ABC = 65°, ∠DBE = 65°, ∠CBE = 115°, ∠ABD = 115°

(2) ∠ABC = 62°, ∠DBE = 62°, ∠CBE = 118°, ∠ABD = 118°

Solution:

(1) In the given image ABC and DBE are vertical angles.

Vertical angle theorem:

If two angles are vertical then they are congruent.

⇒ ∠ABC = ∠DBE

⇒ 3x° + 38° = 5x° + 20°

Arrange like terms one side.

⇒ 38° – 20° = 5x° – 3x°

⇒ 18° = 2x°

⇒ x° = 9°

∠ABC = 3(9°) + 38° = 65°

∠DBE = 5(9°) + 20° = 65°

Adjacent angles in a straight line = 180°

⇒ ∠ABC + ∠CBE = 180°

⇒ 65° + ∠CBE = 180°

⇒ ∠CBE = 115°

∠ABD and ∠CBE are vertical angles.

∠ABD = 115°

(2) In the given image ABC and DBE are vertical angles.

⇒ ∠ABC = ∠DBE

⇒ 4x° + 2° = 5x° – 13°

Arrange like terms one side.

⇒ 13° + 2° = 5x° – 4x°

⇒ 15° = x°

∠ABC = (4(15°) + 2°) = 62°

∠DBE = 5(15°) – 13° = 62°

Adjacent angles in a straight line = 180°

⇒ ∠ABC + ∠CBE = 180°

⇒ 62° + ∠CBE = 180°

⇒ ∠CBE = 118°

∠ABD and ∠CBE are vertical angles.

∠ABD = 118°

To figure out which value of y makes this true, plug in each option:

y = 8

25 - y < 15       Plug in 8 for y

25 - 8 < 15

17 < 15      This is false because 17 is not less than 15

y = 9

25 - y < 15     Plug in 9 for y

25 - 9 < 15

16 < 15     This is false because 16 is not less than 15

y = 10

25 - y < 15       Plug in 10 for y

25 - 10 < 15

15 < 15    This is false because 15 can't be less than itself (15)

y = 11

25 - y < 15     Plug in 11 for y

25 - 11 < 15

14 < 15       This is true because 14 is less than 15

Your answer is D

The rate of cheese is $9.5 per kilogram which does not match Lydia's estimation.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Lydia decides to provide cheddar cheese for the competition. She buys 4.2 kilograms for 39.90.

She estimates the cost of 1 kilogram of cheese to be $1.

Let's check the rate of cheese. Then we have

Rate = $39.90 / 4.2

Rate = $9.5 per kilogram

The rate of cheese is $9.5 per kilogram which does not match Lydia's estimation.

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Answer:

20

Step-by-step explanation:

Yellow, Green, Red, Green, Blue

Yellow, Red, Green, Red, Blue

Yellow, Blue, Red, Blue, Green

Yellow, Blue, Green, Blue, Red

5x4 = 20 because those are all the possible ways with yellow as the first building color, so there are 4 possible ways with yellow being in front, meaning all five of the colors have 4 possible ways of being in front. so 5x4=20

Answer:

84

Step-by-step explanation:

84 cause there will be 108 ways - 24 ways

Answer:

the correct answer is B

Answer: b

i just wrote it down on paper and used a calculator to reassure.

Answer:

y = 4x + 36

Step-by-step explanation:

To find the equation in slope-intercept form, rearrange to isolate "y".

Slope-intercept form is y = mx + b. The variables mean:

"x" and "y" - points that are on the line, or solutions.

"m" - the slope, how steep the line is

"b" - the y-intercept, when the line touches the y-axis

Isolate "y".

8x - 2y = -72

8x - 8x - 2y = -72 - 8x        Subtract 8x from both sides.

-2y = -72 - 8x        Left side : 8x - 8x = 0

[tex]\frac{-2}{-2}y = \frac{-72}{-2} - \frac{8}{-2}x[/tex]        Divide both sides by -2

y = 36 - (-4)x        Simplify the fractions

y = 36 + 4x        Remember two negatives make a positive, add 4x.

y = 4x + 36        Put "4x" in front of 36. It looks like y = mx + b now.

"m" would be 4.

"b" would be 36.

Answer:

Step-by-step explanation: they must spend a minimum of $28 per jersey

Hey there!

To solve for x, you must isolate the x term. To do so, first add 13y to both sides so you can leave 3x isolated on one side:

3x - 13y + 13y= 2 + 13y

3x= 2 +13y

Now, divide both sides by 3 to isolate the x variable and get your final answer:

(3x)/3 = (2 + 13y)/3

x = [tex]\frac{2 + 13y}{3}[/tex]

The equation could also be written as  x= [tex]\frac{2}{3}+\frac{13y}{3}[/tex] if you choose to separate the 2 and 13y.

I hope this helps!

Answer:

[tex]x = \frac{2 + 13y}{3} \\ [/tex]

Step-by-step explanation:

[tex]3x - 13y = 2 \\ 3x = 2 + 13y \\ \frac{3x}{3} = \frac{2 + 13y}{3} \\ x = \frac{2 + 13y}{3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

yes.

Step-by-step explanation:

Answer:

5 4 3 2 1

Step-by-step explanation:

is this what ur asking

The answer is 3. Counting backwards (In this case) would be 5, 4, 3, 2, 1. After 4, when counting backwards, comes the Number 3. So, your answer is 3.

Answer Option C

Step-by-step explanation:please see attachment for explanation

Answer:

C

Step-by-step explanation:

Each element in B is subtracted from the corresponding element in A, that is

A - B

= [tex]\left[\begin{array}{ccc}3-4&-7-(-1)\\6-0&1-8\\-8-(-5)&5-3\end{array}\right][/tex]

= [tex]\left[\begin{array}{ccc}-1&-6\\6&-7\\-3&2\end{array}\right][/tex] → C