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3 years ago

Bob's car can go

Mathematics

1 answer:

Arisa [49]3 years ago

4 0

Answer:

296 miles

Step-by-step explanation:

Use a proportion:

111/( 3/8) = x/ 1

Cross Multiply

(3/8)x = 111

Multiply both sides by 8/3 ; reciprocal

x = (8/3) (111)

x = 296 miles

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Write a comparison sentence that includes the words as long as and compares

Paha777 [63]

Jenny pencil is as long as a giraffe's neck.

5 0

3 years ago

A bucket contains 40 red balls, 25 black balls, and 35 white balls. Two balls are drawn at random. What is the probability that

Lyrx [107]

Answer:

$Probability = \frac{1}{5}$ or $Probability = 0.2$

Step-by-step explanation:

Given

$Black = 25$

$White = 35$

$Red = 40$

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

$Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)$

Convert to mathematical expressions

$Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]$

Solve for each probaility;

$P(Black) = \frac{Black}{Total} = \frac{25}{100}$

$P(Red) = \frac{Red}{Total} = \frac{40}{100}$

So, we have:

$Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]$ $Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]$

$Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]$

$Probability = [\frac{1}{10}] + [\frac{1}{10}]$

$Probability = \frac{1+1}{10}$

$Probability = \frac{2}{10}$

$Probability = \frac{1}{5}$

$Probability = 0.2$

7 0

3 years ago

Find the surface area of a cylinder with a height of 7 m and a base radius of 6 m.

weqwewe [10]

Answer:

489.84 m²

Step-by-step explanation:

Area of one 2d circle: πr² ⇒ π6² ⇒ 36π ≈ 113.04 (using 3.14 for pi)

Area of both 2d circles: 113.04 + 113.04 =226.08 m²

Now we have to find the width of the rectangle, which is equal to the circumference of either circle:

Width of rectangle: 2πr ⇒ 2π6 = 12π ≈ 37.68 (using 3.14 for pi)

We can find the area of the rectangle now, since the length was given

Area of rectangle: 37.68· 7= 263.76 m²

Surface Area: 263.76+226.08= 489.84m²

Hopefully this helps!

6 0

3 years ago

GIVE THE BRAINLIEST PLWS ANSWER. Write and evaluate the expression. Then, complete the statements. ten more than the product of

NemiM [27]

Answer:

17.

Step-by-step explanation:

Statement: "ten more than the product of two and a number"

Translation: 10 + (2 * x)

x = 3.5

10 + (2 * 3.5)

= 10 + 7

= 17.

Hope this helps!

5 0

3 years ago

If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2

Oksanka [162]

If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width

Solution:

Let the length of rectangle=x

Width of rectangle=x/10

Perimeter is 2(Length+Width)

= 2(x+x/10)

Area of Rectangle= Length* Width=x*x/10

As, Perimeter=2(Area)

So,2(x+x/10)=2(x*x/10)

Multiplying the equation with 10, we get,

2(10x+x)=2x²

Adding Like terms, 10x+x=11x

2(11x)=2x^2

22x=2x²

2x²-22x=0

2x(x-11)=0

By Zero Product property, either x=0

or, x-11=0

or, x=11

So, Width=x/10=11/10=1.1

Checking:

So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2

Area=Length*Width=11*1.1=12.1

Hence, Perimeter= 2 Area

As,24.2=2*12.1=24.2

So, Perimeter=2 Area

So, Answer:Length of Rectangle=11 units

Width of Rectangle=1.1 units

7 0

3 years ago

Read 2 more answers