Consider the situation where 12 people at a picnic want to select an activity for the afternoon. Which activity would win a plurality election

Answer:

Mom drove for 18 hours.

Dad drove for 6 hours.

Step-by-step explanation:

Given that:

Number of hours for the driving duty = 24 hours

Speed at which the mom drove = 75 miles per hour

Speed at which the dad drove = 60 miles per hour

Total distance driven by both of them = 1710 miles

To find:

Number of hours for which each person drive for ?

Solution:

Let number of hours driven by dad = [tex]x[/tex] hours

Let number of hours driven by mom =  (24 - [tex]x[/tex]) hours

Let us have a look at the formula for Distance in terms of Speed and Time.

[tex]Distance = Speed \times Time[/tex]

Distance traveled by Mom = [tex]75 \times x =75x \ miles[/tex]

Distance traveled by dad = [tex]60(24-x) =144-60x[/tex] miles

As per question statement:

[tex]75x+1440-60x=1710\\\Rightarrow 15x=1710-1440\\\Rightarrow 15x = 270\\\Rightarrow x = 18\ hours[/tex]

So, Mom drove for 18 hours.

Dad drove for 6 hours.

Answer:

Step-by-step explanation:

Starting point is - $2000 as this is spending

Income is calculated as:

So the profit formula is:

Correct option is C from below answer choices

The options are:

Answer: 24%

Step-by-step explanation:

Answer:  0.24%

Step-by-step explanation: i hope this helps have a blessed day

Answer:

NO

jk, jk, it's B

Step-by-step explanation:

Step-by-step explanation:

an arrows digram also known as an activity networkchart he

Answer:

auxiliary line

Step-by-step explanation:

The value of 196 ÷ 3.5 is 56

Division is the opposite of multiplication. If 3 groups of 4 make 12 in multiplication, 12 divided into 3 equal groups give 4 in each group in division. The main goal of dividing is to see how many equal groups are formed or how many are in each group when sharing fairly.

For example, if 50 apples are to be shared by 5 people , the number of apples allocated bto a person is 50/5 = 10 apples

196/3.5

to solve the we can multiply the numerator and denominator by 10 to make all whole number

= 1960/35

we can now simplify

divide through by 5

392/7

divide through by 7

= 56

therefore the value of 196/3.5 is 56

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Answer:

The solution set is (2,4).

Step-by-step explanation:

Given that:

−2x + 2y =4         Eqn 1

−4x + 8y =24      Eqn 2

Multiplying Eqn 1 by -2

-2(-2x+2y=4)

4x-4y= -8     Eqn 3

Adding Eqn 2 and 3

(-4x+8y)+(4x-4y)=24-8

-4x+8y+4x-4y=16

4y=16

Dividing both sides by 4

[tex]\frac{4y}{4}=\frac{16}{4}\\y=4[/tex]

Putting y=4 in Eqn 1

-2x+2(4)=4

-2x+8=4

-2x=4-8

-2x=-4

Dividing both sides by -2

[tex]\frac{-2x}{-2}=\frac{-4}{-2}\\x=2[/tex]

Hence,

The solution set is (2,4).

Answer:

w=6 in

l=3 in

Step-by-step explanation:

let w = width and length be 'w-3'

Two sides of w and two sides of (w-3) equal 18 sq in

18=2(w)+2(w-3)

18=2w+2w-6

4w=24

w=6

The width of rectangle is, 6 in.

And, Length of rectangle is 3 in.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The length of a rectangle is 3 inches less than its width

And, the area of the rectangle is 18 in.²

Now, We know that;

Area of rectangle = Length × Width

Let the width of rectangle = x

Hence, Length of rectangle = x - 3

Thus, We get;

Area of rectangle = Length × Width

18 = x (x - 3)

18 = x² - 3x

x² - 3x - 18 = 0

x² - (6 - 3)x - 18 = 0

x² - 6x + 3x -18 = 0

x(x - 6) + 3 (x - 6) = 0

(x - 6) (x + 3) = 0

x = 6 , x = - 3

But dimensions are not negative.

Hence, We get;

x = 6

Thus, the width of rectangle = 6 in.

Hence, Length of rectangle = x - 3

                                           = 6 - 3 = 3 in.

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To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

See attachment for math work and answer.

The value of t is 7 and the coordinate is (5, 7). Therefore, option D is the correct answer.

Given that, in an xy-coordinate system, line l has a slope of -3. If the points (2, 16) and (5, t) are on line l.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

Now, substitute m=-3, (x1, y1)=(2, 16) and (x2, y2)=(5, t) in slope formula, we get

-3 =(t-16)/(5-2)

⇒ -3 =(t-16)/3

⇒ t-16=-9

⇒ t=7

The value of t is 7 and the coordinate is (5, 7). Therefore, option D is the correct answer.

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Answer:

no it isn't

Step-by-step explanation:

Answer:

I am not fully sure but I think its not proportional

Step-by-step explanation:

Answer:

112y + 154z

Step-by-step explanation:

-14(-8y-11z) = 112y + 154z

Two minus makes one plus.

Answer:

to find the average you add all of the numbers together, and then divide by the amount of numbers you have. the numbers added is =114 and the amount of numbers is 8, 114/8= 14.25 years old

Step-by-step explanation:

y is 130° too because it's an alternative angle love

Answer:

X=130

Y=130

Step-by-step explanation:

I know this because x is the same as 130 and the congruent angle is the same as well.  Hope this helps

Answer:

She saved 25%

Step-by-step explanation

(100 * 6) /24 = 25

the equation of the line is y = 3x - 5

Answer:

WOOF WOOF

Step-by-step explanation:

i love getting extra points :)

Answer:

y=1/3x+2

Step-by-step explanation:

Answer:6.7

Step-by-step explanation: Just divide 80 by 12 you get 6.6 so round up

Answer:

B

Step-by-step explanation:

Answer:

i believe its the second ave

Parallel lines are those lines that are always the same distance apart and parallel lines do not intersect or meet each other.

The street that is parallel to 1st Ave is 2nd Ave.

Parallel lines are those lines that are always the same distance apart and parallel lines do not intersect or meet each other.

Example:

Line A and Line B have an angle of zero between each other.

This means Line A and Line B are parallel to each other.

We have,

Five streets:

1st ave

2nd ave

Central ave

D steet

Main road

Now,

Central Ave and the main road are parallel to each other.

1st Ave and 2nd Ave are parallel to each other.

D Street is perpendicular to 1st Ave and 2nd Ave.

Central Ave and Main Road are also perpendicular to 1st Ave and 2nd Ave.

We see that,

The street that is parallel to 1st Ave is 2nd Ave.

Thus,

The street that is parallel to 1st Ave is 2nd Ave.

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Answer:

True

Step-by-step explanation:

on a number line -10 is further right than -65.

Answer:

True -10 is closer to 1 the -65

Step-by-step explanation:

Answer:

The system of Equations:

4x + 3y = 42

x + 7y = 44

Step-by-step explanation:

Let the price in dollars of

each pair of pants = x

each shirt = y

A customer at a store paid $42 for 4 pairs of pants and 3 shirts.

Hence:

4 × x + 3 × y = $42

4x + 3y = 42

At the same store, a second customer paid $2 more for 1 pair of pants and 7 shirts.

This means he, paid $42 +$2 = $44

Hence:

1 × x + 7 × y = 44

x + 7y = 44

The system of equations can be used to find the price in dollars of each pair of pants, x, and each shirt, y is

4x + 3y = 42.... Equation 1

x + 7y = 44..... Equation 2

Not sure if this is the answer but this is what I got

Answer: y= 4/25 x

Answer:

Step-by-step explanation:

94.95-19.95= 74.00

74.00/ 0.30 = about 246 text messages

Answer:

Step-by-step explanation:

Let the number of text messages be x.

We have following equation as per given:

Answer: 250 text messages

Answer:

10 i believe

Step-by-step explanation: