Mara's family is driving to her grandmothers' house. The family travels 239.4 miles be-
tween the hours of 9:10 a.m. to 1:40 p.m. Write an equation that Mara can use to deter-
mine their average rate of travel, rounded to the nearest mile per hour.
Use the given numbers and operations to complete an equation.

Answer:

$141.99

Step-by-step explanation:

$161.98 - $19.99 = $141.99 left

(All you needed to do was subtract.)

Answer:

Step-by-step explanation:

Given that:

Find the central angle (θ)

Arc is some part of circumference; thus,

the equation of arc length =

A = θ/360 × C

θ/360 = A/C

θ = (360×A)/C

θ = (360×1)/6

θ = 360 ÷ 6

Central angle = 60°

______________

#IndonesianPride

- kexcvi

Answer:

$2540

Step-by-step explanation:

Given data

Cost per month=$1400

Increase per year=$190

Time = 6 years

Let the total rent per month be y

Hence, the expression for the monthly rent after 6 years is

y= 1400+190(6)

y= 1400+1140

y=$2540

Answer:

346.4 square centimeters (cm²)

Answer:

346.185 cm²

Step-by-step explanation:

radius = diameter / 2

Area of a circle = πr²

radius = 21/2 = 10.5

Area = 3.14(10.5)²

Area = 346.185 cm²

Answer:

Pretty sure its B

Answer:

Answer: B

Step-by-step explanation:

Count the number of atoms of each element on each side. They must be equal.

Only B has equal numbers of atoms of each element on both sides of the equation.

B

left side: 1 C, 2 H, 1 O

right side: 1 C, 2 H, 1 O

Answer:

60 oz of water to add

45 oz of 35% salt solution should be used

Step-by-step explanation:

Let x = amt no. ounces in the first solution

and  105 - x = amt no. of ounces in the second solution

Ist solution contains 0% salt

2nd solution contains .35(105 - x) salt

.15(105= amt of salt in mix

So.

amt of salt in 1st solution + amt of salt in 2nd solution = amt of salt in the mix

0 + .35(105 - x) = .15(105)

Let's get rid of the fractions by multipying thru the equation by 100

35(105 - x) = 15(105)

3675 - 35x = 1575

-35x = -2100

x = 60 oz of water to add

105 - 60 = 45 oz of 35% salt solution should be used

Answer:

let P=36000

R=12%

T=2years

Step-by-step explanation:

no.of bacteria after 2=P(1+R/100)^t

=36000(1+12/100)²=45158.4

Answer:

18m+2

Step-by-step explanation:

multiply 6m by 3 and add 2

f(6m)=18m+2

Answer:

8 is the diamonds area im not sure if there is a formula for that but its 8

Second shape you could connect the dots to make it more easier to get 15

Third shape is 16 for the area.

The total surface area of the given pyramid is 304 sq units.

A pyramid is three dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point called the apex.

Every face of the pyramid is triangular  except the base. The base is square shaped. So we will use the formula of area of triangle to find the area of each face of the pyramid. And we will use the formula of area of square to find the base area of the pyramid.

The area of triangle is = (1/2)×base×height

The are of square = (side)²

Given that the length and breadth of base is = 8 units

So, the area of base is = 8²=64 sq units.

Also the height of the each triangular face is 15 units.

So, the area of each face is = (1/2)×8×15

=4×15

=60 sq units.

So, the total area of four triangular faces of the pyramid = 4×60

=240 sq units.

Hence, the surface area of the pyramid = Area of four traingular faces + Area of square base

=240+64

=304sq units

Thus , The required surface area of the pyramid is = 304 sq units

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Answer:

4

Step-by-step explanation:

20/5=rate

4=rate

2i

−4

+3i

=

5

2

i

Step-by-step explanation:

i think it helps

Answer:

[tex]\frac{6}{25}[/tex] - [tex]\frac{8}{25}[/tex] i

Step-by-step explanation:

Assuming you mean

[tex]\frac{2i}{-4+3i}[/tex]

To simplify, rationalise the denominator

Multiply the numerator/ denominator by the conjugate of the denominator

The conjugate of - 4 + 3i is - 4 - 3i , then

= [tex]\frac{2i(-4-3i)}{(-4+3i)(-4-3i)}[/tex] ← expand numerator and denominator

= [tex]\frac{-8i-6i^2}{16-9i^2}[/tex] [ note that i² = - 1 ]

= [tex]\frac{-8i+6}{16+9}[/tex]

= [tex]\frac{6-8i}{25}[/tex]

= [tex]\frac{6}{25}[/tex] - [tex]\frac{8}{25}[/tex] i ← in standard form

Answer:

the third one

Step-by-step explanation:

do you need and explanation

Answer:

1/4.

Step-by-step explanation:

There are 3 even numbers in the 6 numbers on a cube.

So Probability first roll is even = 3/6 = 1/2.

By the same reason Probability of odd number = 1/2.

So: Probability(First is even and second is odd) = 1/2 * 1/2 = 1/4.

Answer:

definetely not a pog champ :)

Step-by-step explanation:

Answer:

The first Graph

Step-by-step explanation:

its not the third because it's a dotted line, so it wouldn't be equal to. it's not the second because it's shaded in the wrong place, making it less than.

Answer:

(-3, 19)

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

i think? i may have not understood the picture correctly, so if this is wrong i apologise

Answer:

The answer is China.

Step-by-step explanation:

Hope it helps:))

Answer:

China accounts for over 30 percent of the world's fish production, making them the number one country for fishing when it comes to sheer numbers.

Step-by-step explanation:

Answer:

Step-by-step explanation:

E is the midpoint of DF and G is the midpoint of FH, therefore EG is the midsegment of triangle DFH, parallel to DH.

The length of the midsegment is half of the parallel side of the triangle:

Substitute values and solve for x:

Find the length of DH:

Answer:

Step-by-step explanation:

(6x+1)4 = 124

6x+1 = 31

x = 5

Answer:

a. y = 4x  b. 48 feet

Step-by-step explanation:

y = mx + b

Plotted points found:

(5,20) (10,40)

Delta y/Delta x

(40-20)/(10-5)

20/5 = 4

Slope: 4

y = 4x + b

The y-intercept is when x = 0. In this case, the y-intercept is 0.

Equation: y = 4x

b.

y = 4(12)

y = 48 feet

Answer:

pick the simplest of the 2 equations

Step-by-step explanation:

5y-2x=10

5y = 2x +10

y = 2/5x + 2

now substitute

8x + 5(2/5X +2)=60

8x + 2x + 10 = 60

10x = 50

x = 5

y = 4

Answer:

(7,-8)

Step-by-step explanation:

just count the x and y axis

Brillianst please!!!

Answer:

D

Step-by-step explanation:

The factorisation of polynomial is (2x-1)(x+1). Therefore, option C is the correct answer.

The given expressions are 2x³-3x²-3x+2 and x-2.

The factors are the polynomials which are multiplied to produce the original polynomial.

Here, the given polynomial can be factored as follows:

x-2 |2x³-3x²-3x+2| 2x²+x-1

      2x³-4x²

     (-)   (+)

___________

             x²-3x+2

             x²-2x

            (-)  (+)

___________

                 -x+2

                 -x+2

                (-)  (+)

____________

                   0

2x²+x-1 can be rewritten as 2x²+2x-x-1

= 2x(x+1)-(x+1)

= (x+1)(2x-1)

The factorisation of polynomial is (2x-1)(x+1). Therefore, option C is the correct answer.

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Answer:

168 seconds

I edited the answer.

Step-by-step explanation:

To find the the time taken for both lights to flash at the same time, we need to find the lowest common multiple of 28 and 24.

28 x 6 = 168, 24 x 7 = 168

The LCM of 28 and 24 is 168.

So it takes 168 seconds for both lights to flash at the same time.

Both lights will flash together again at 2 minutes and 8 seconds.

To find When will they flash together again if they flash together.

LCM is the method to find the smallest possible multiple of two or more numbers.

Given that,

A red light flashes once every 28 seconds

A green light flashes once every 24 seconds

A red light flashes every 28 seconds and green light flashes once every 32 seconds. Therefore,  we have to find their least common factor.

LCM(28 , 24) = 168

The red and green light will flash together after every 168 seconds.

Time  =168 seconds

Time =168 / 60 minutes

Time = 2 minutes and 8 seconds

The red and green light will flash together after every 2 minutes and 8 seconds.

Hence, both lights will flash together again at 2 minutes and 8 seconds.

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The weights of the first and second packages are :

First package = 2.48 pounds

Second package = 2.6 pounds

Answer:

3rd is greater Than first.

Step-by-step explanation:

Weight of third package = 2.5 pounds

Comparing the weight of first and 3 rd package :

2.5 > 2.48

Weight of 3rd package > Weight of first package

First package :

2.48 pounds

Third package :

2.50 pounds

Greatest place value of the package weight is the unit value, 2 ; since the unit value is the same, we take the 2nd highest place value of the weight ;the tenth

Value of the tenth digit = 4

Value of the tenth digit in third package = 5

Since, 5 > 4 ; then 3rd weight package is greater than first weight package

Answer:

The weights of the first and second packages are :

First package = 2.48 pounds

Second package = 2.6 pounds

Answer:

3rd is greater Than first.

Step-by-step explanation:

Weight of third package = 2.5 pounds

Comparing the weight of first and 3 rd package :

2.5 > 2.48

Weight of 3rd package > Weight of first package

First package :

2.48 pounds

Third package :

2.50 pounds

Greatest place value of the package weight is the unit value, 2 ; since the unit value is the same, we take the 2nd highest place value of the weight ;the tenth

Value of the tenth digit = 4

Value of the tenth digit in third package = 5

Since, 5 > 4 ; then 3rd weight package is greater than first weight package

Step-by-step explanation: