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3 years ago

The sum of three consecutive integers is 267. What is the largest integer

1 answer:

3 0

X= largest integer X-1=next integer X-2=lowest integer x + x-1 + x-2 = 267 3x-3=267 3x=267+3 3x=270 X=270÷3 X=90 Now substitute x + x-1 + x-2 = 267 90+ (90-1)+(90-2)=267 90+89+88=267 So largest integer is 90

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What are the factors of x2 – 4x – 5? Check all that apply.

harkovskaia [24]

When you factor (x^2-4x-5), you get (x+1)(x-5).

7 0

3 years ago

Read 2 more answers

a water wheel has a radius of 18 feet. The wheel is rotating at 10 revolutions per minute. Find the linear speed, in feet per

Yuri [45]

Answer:

The linear speed is $1,130.4\frac{ft}{min}$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=18\ ft$

$\pi =3.14$

substitute

$C=2(3.14)(18)$

$C=113.04\ ft$

step 2

Find the linear speed in feet per minute

we know that

The wheel is rotating at 10 revolutions per minute

Convert revolutions to feet

Remember that

One revolution is equal to the circumference of the circle

10 revolutions is equal to

$(10)113.04=1,130.4\ ft$

therefore

The linear speed is $1,130.4\frac{ft}{min}$

3 0

3 years ago

Given a non-zero rational number, a, and an irrational number, b, what can be said about the product of a and b?

laiz [17]

Answer:

The product of a non-zero rational number and an irrational number is irrational.

7 0

2 years ago

Determine whether the ordered pair (6,5) is a solution to the equation -2x + y = -7

natita [175]

Answer:

i really dont knok but my guess is yes

Step-by-step explanation:

8 0

3 years ago

Clare has a recipe for yellow cake. She uses 913 cups of flour to make 4 cakes. Noah will follow the same recipe. He will make c

sergejj [24]

Answer:

(C)c= $\frac{3}{7}$ f

Step-by-step explanation:

Clare uses $9\frac{1}{3}$ cups of flour to make 4 cakes.

It means she uses 1 cup of flour to make $4\div9\frac{1}{3}$ cakes.

Let us simplify that expression first for future use.

$4\div9\frac{1}{3}=4\div\frac{28}{3} =4 X \frac{3}{28} =\frac{3}{7}$

Therefore, Clare uses 1 cup of flour to make $\frac{3}{7}$ cakes.

If Noah follows the same recipe,

He uses f cups of flour to make c cakes

Using Ratio Method

→ Name : Cup : Cake

→ Clare : 1 : $\frac{3}{7}$

→ Noah : f : c

By using cross multiplication

c X 1 = $\frac{3}{7}$ f

c= $\frac{3}{7}$ f

The equation c= $\frac{3}{7}$ f represents the relationship between c and f

8 0

4 years ago