Option 2: Senator Kennedy's Initiative proposed extending the school day by 30%-a radical increase. If each 6-hour
school day were extended according to Senator Kennedy's plan, each day would be how many hours?

Answer:

16

Step-by-step explanation:

2:3=x:24

2/3=x/24

(24)(2/3)=x

x=16

Answer:40%

total 60

24 is 40% of 60

Answer:

40

Step-by-step explanation:

24/60 x 100

40%

Answer:3

Step-by-step explanation:

2x8=16

There are 5 people in total

16/5=3.2

Whole number so 3 slices

Answer:

5900 meters < Sarita < 6500 meters

Step-by-step explanation:

Given

Tomás = [tex]6\frac{1}{2} km[/tex]

Jackie = 8,000 m

Joseph = 5.9 km

Mai Yee = 2,790 m

Where km and m represent kilometers and meters respectively

Required

How far could Sarita have ran

First, we'll convert the distance covered by each individuals to one units (Preferably meters)

We'll need to convert distance covered by Tomás and Joseph because they're given in kilometers.

Since 1 km = 1000 m, then we have

Tomás = [tex]6\frac{1}{2} km[/tex]

Tomás = [tex]6\frac{1}{2} * 1000 m[/tex] (Convert fraction to decimal)

Tomás = [tex]6.5 * 1000 m[/tex]

Tomás = 6500 m

Joseph = 5.9 km

Joseph = 5.9 * 1000 m

Joseph = 5900 m

Now that we have the same unit all through, the next step is to list them out

Tomás = 6500 m

Jackie = 8,000 m

Joseph = 5900 m

Mai Yee = 2,790 m

Then, we rearrange in ascending order (from smallest to biggest)

Mai Yee = 2,790 m

Joseph = 5900 m

Tomás = 6500 m

Jackie = 8,000 m

The condition given in the question is that Sarita ran farther than 2 of the people in the table and slower than the other 2

This means that Sarita ran farther than the least 2 "Mai Yee and Joseph"

And at the same time Sarita covered lesser distance than the highest 2 "Tomás and Jackie"

This means that distance covered by Sarita is greater than distance covered by Joseph and less than distance covered by Tomás

Since no option is given, I'll represent the answer using inequality

Recall that

Joseph = 5900 m

Tomás = 6500 m

Sarita could have ran a distance greater than 5900 meters and less than 6500 meters

Distance covered by Sarita: 5900 < Sarita < 6500

Given:

Given that the measure of the exterior angle F is 142°

We need to determine the measure of ∠DFE

Measure of ∠DFE:

The ∠DFE and the exterior angle F are linear pairs.

Thus, the linear pair of angles add up to 180°

Hence, we have;

[tex]\angle DFE+142^{\circ}=180^{\circ}[/tex]

Subtracting both sides of the equation by 142, we get;

[tex]\angle DFE=38^{\circ}[/tex]

Hence, the measure of ∠DFE is 38°

Thus, Option a is the correct answer.

Answer:

Equilateral Triangle Has Three ⚟ equal angles because it sides are equal then opposite angle are also equal.

Thank You ☺️ ☺️.

Equilateral triangle has three equal angles.

there are three types of triangle.They are scalene triangle,isosceles raingle and equilateral triangle.Equilateral triangles are also the types of triangle which have three equal sides.

Answer:

a=15

Step-by-step explanation:

5a-10b=45

5a-10*3=45

10*3=30

5a-30=45

+30

5a=75

75/5=15

a=15

Answer:

A=15

Step-by-step explanation:

Answer:

∠XDQ : 41°

∠UXD: 139 °

Step-by-step explanation:

Allow me to rewrite your answer for a better understanding and please have a look at the attached photo.

A segment XD is drawn in rectangle QUAD as shown  below.

What are the measures of ∠XDQ and ∠UXD ?

My answer:

As we can see in the photo, ∠ADX = 49° and ∠ADU =90°

=>  ∠XDQ = ∠ADU - ∠ADX

= 90°  - 49°  = 41°

In the triangle ADX, we can find out the angle of ∠DXA

= 180° - ∠DAX - ∠ADX

= 180° - 90° - 49°

= 41°

=> ∠UXD = 180° - ∠DXA  (Because UA is a straight line)

=180° - 41°  

= 139 °  

Answer:

copper=3kg

nikhil=5/4 kg

zinc=3/4 kg

Step-by-step explanation:

copper:nikhil:zinc

12:5:3

let x be one value

12x+5x+3x=5

20x=5

x=5/20=1/4

12*1/4=12/4=3

5*1/4=5/4=1 1/4

3*1/4=3/4

To make 5 kg of the alloy, you would need:

A ratio is a mathematical comparison of two quantities or values. It expresses the relationship or proportion between the quantities being compared. Ratios can be represented in different forms, such as fractions, decimals, or as a colon (:).

Let's calculate the amounts for each metal:

Copper:

The ratio indicates that for every 12 parts of the alloy, 1 part should be copper.

So, the amount of copper needed

= 12/20 x 5

= 3 Kg

Nickel:

For every 5 parts of the alloy, 1 part should be nickel.

So, the amount of nickel needed

= 5/20x 5

= 1.25 Kg

Zinc:

For every 3 parts of the alloy, 1 part should be zinc.

So, the amount of zinc needed

= 3/20 x 5

= 0.75 Kg

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Answer:

55

Step-by-step explanation:

180-25=55

Answer: 55

Step-by-step explanation:

Answer:

55%

Step-by-step explanation:

100% - 45% = 55%

Step-by-step explanation:

We know that

Total percentage = 100%

Percentage of boys = 45%

Percentage of girls = ( 100 - 45)%

=55%

Answer: The answer is the first one d= 1/50w.

Step-by-step explanation: 3/5 divided by 30 is 1/50 as a fraction. This is the unit rate. 1/50 milligrams per pound. Hope this helps!:))

Answer:

it would be D=1/50 W

Step-by-step explanation:

Answer:

55/3 its a fraction hope this helps

Step-by-step explanation:

Answer:

Option B, [tex]-11g + 15[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]-g - 5(2g - 3)[/tex]

[tex]-g + (-5 * 2g) + (-5 * -3)[/tex]

[tex]-g - 10g + 15[/tex]

[tex]-11g + 15[/tex]

Answer: Option B, [tex]-11g + 15[/tex]

Answer:

x=43

Step-by-step explanation:

Since the lines are parrallel, the angle underneath the one you are finding is equal to 65. To find the total value of (x+72) you subtract 65 from 180, giving you 115.

x+72 = 115

then you subtract 72 from both sides

x=43

So the last number is 34.

Hope this will help u...

Final answer:

The product of 4/9 and 72 is found by multiplying 4 by 72 and then dividing by 9, giving us the final answer of 32.

Explanation:

To find the product of 4/9 and 72, you multiply the two numbers together. Here's how you do it:

Write the multiplication expression: 4/9 × 72.

Since 72 is the same as 72/1, you can think of this as multiplying two fractions: (4/9) × (72/1).

Multiply the numerators together: 4 × 72 = 288.

Multiply the denominators together: 9 × 1 = 9.

Combine the results to find the fraction form of the answer: 288/9.

Simplify the fraction by dividing numerator and denominator by their greatest common divisor, which is 9: 288 ÷ 9 = 32.

The product of 4/9 and 72 is 32.

[tex]3x=-36|:3\\x=-12[/tex]

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Answer:

-12

Step-by-step explanation: To put it simple you want to get the x by itself which means you'll have to multiply both sides by 3

3x/3 = x

-36/3 = -12

x = -12

Step-by-step explanation:

X Y

-5 45

-4. 32

-3. 21

-2. 12

-1. 5

0 0

1. -3

2. -4

3. -3

4 0

5 5

To complete the table of values for y = x^2 - 4x, substitute the given values of x into the equation. To determine the matching graph, compare the shape, direction, and intercepts of the given curves to y = x^2 - 4x.

For part a), you need to substitute the given values of x into the equation y = x^2 - 4x to find the corresponding values of y.

So for x = 1, y = (1)^2 - 4(1) = 1 - 4 = -3.

For x = 2, y = (2)^2 - 4(2) = 4 - 8 = -4.

Similarly, you can find the values of y for the other given values of x.

For part b), look at the three curves drawn and find the one that matches the graph of y = x^2 - 4x. Compare the shape, direction, and intercepts of the graph to determine the correct curve.

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Answer:y=9(8)^x

Step-by-step explanation:

The exponential function that passes through the points (0,9) and (3,4608) is y = 9 * 8^x. This was determined by using the given points to find the values of a and b in the function y = ab^x.

To write an exponential function that passes through the points (0,9) and (3,4608), we start with the general form y=abx. Using the given points, we can set up two equations based on their coordinates. The first point (0,9) leads to the equation 9 = a * b0, which simplifies to 9 = a since anything raised to the power of 0 is 1. The second point (3,4608) gives us 4608 = a * b3.

Now that we know a = 9, we can substitute it into the second equation to find the value of b: 4608 = 9 * b3. Dividing both sides by 9, we get 512 = b3, which leads to b = 8 after taking the cube root of 512. Thus, the exponential function we are looking for is y = 9 * 8x.

Answer: a simplified expression to represent the number of members this year is: x = 1.15 * (m)

Step-by-step explanation:

For this case what you can do is the following rule of three:

m ---> 100%

x ----> 115%

Clearing the value of x we have:

x = (115/100) * (m)

x = 1.15 * (m)

Answer:

11

Step-by-step explanation:

A=[tex]\frac{bh}{2\\}[/tex]

A=[tex]\frac{5.5*4}{2}[/tex]

A=[tex]\frac{22}{2}[/tex]

A=11

Answer:

A=11in²

Step-by-step explanation:

Answer:

I think its 23o

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Formula:

[tex] a_n = 3(n + 4) [/tex]

First term: n = 1

[tex] a_1 = 3(1 + 4) = 15 [/tex]

Second term: n = 2

[tex] a_2 = 3(2 + 4) = 18 [/tex]

Third term: n = 3

[tex] a_3 = 3(3 + 4) = 21 [/tex]

Fourth term: n = 4

[tex] a_4 = 3(4 + 4) = 24 [/tex]

Tenth term: n = 10

[tex] a_{10} = 3(10 + 4) = 42 [/tex]

The explicit formula is [tex]a_{n}[/tex] = 4 + (n - 1)3 first four terms will be 4, 7, 10, and 13 and the 10th term will be 31.

The difference between every two successive terms in a sequence is the same this is known as an arithmetic progression (AP).

The arithmetic progression has wider use in mathematics for example sum of natural numbers.

Natural number = 1,2,3,4,5,6,7,8...

Now it has the same difference between any two consecutive terms d =2-1 = 3-2.

Let's say

First term = 4

Common difference = 3

Then

The nth term of the AP will be

[tex]a_{n}[/tex] = 4 + (n - 1)3

First term: n = 1

a₁ = 4

Second term: n = 2

a₂ = 7

Third term: n = 3

a₃ = 10

Fourth term: n = 4

a₄ = 13

Tenth term: n = 10

a₁₀ = 31

Hence, the explicit formula is [tex]a_{n}[/tex] = 4 + (n - 1)3 first four terms will be 4, 7, 10, and 13 and the 10th term will be 31.

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Answer:

(-5,2)

Step-by-step explanation:

The solution to the system is where the two lines cross

x = -5

y = 2

Answer:

Option A, (-5, 2)

Step-by-step explanation:

Step 1:  Determine the solution

The solution is where both of the lines intersect.  In this graph, they intersect at the x-value -5 and at a y-value of 2.

Answer:  Option A, (-5, 2)

Answer: the answer is A (4)

Answer:

The correct answer is 8 inches

Step-by-step explanation: