The sum of three consecutive intergers is 267. What is the largest interger?

What is the slope-intercept equation of the line below?

Romashka-Z-Leto [24]

Answer:

y = 1/2x +5

Step-by-step explanation:

The slope intercept form of a line is

y= mx+b where m is the slope and b is the y intercept

y = 1/2x +5

5 0

2 years ago

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Hello!

Tcecarenko [31]

This is simple algebra :)

First, we can write the question as an algebraic equation.

Given that Doug spent 40 more hours than Laura, we can represent Laura as (x) and Doug as (x+40).

"Doug and Laura spent a combined 250 hours." So we can write this as

(x) + (x+40) = 250

Now simplify:

2x + 40 = 250

Solve x by subtracting 40 from both sides of the equation:

2x = 210

Therefore:

x = 210/2

= 105

So Laura (x) spent 105 hours!

4 0

2 years ago

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An isosceles right triangle has an area 8 cm square find the length of its hypotenuse

Ainat [17]

Answer:

5.9

Step-by-step explanation:

Area of a triangle is 1/2 base times height. the base is the horizontal part of the triangle and the height is the vertical part. Since it a isosceles they are equal. Those two segment are also called the legs (remember that for later). 4x4=16 times 1/2 equal 8 cm squared. So know me must find the hypotenuse. Since we since dealing with a right triangle we are going to use pythagorean theorem which is

${a}^{2} + {b}^{2} = {c}^{2}$

where a and b are the LEGS and c is the hypotenuse. the legs are also known as base and height so we use

${4}^{2} + {4}^{2} = {c}^{2}$

which simplify to

$16 + 16 = {c}^{2}$

$32 = {c}^{2}$

$\sqrt{32}$

which is about 5.9

6 0

3 years ago

SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school are given below

kvasek [131]

Answer:

The value of test statistics is 25.

Step-by-step explanation:

We are given below the SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school;

380, 520, 480, 510, 560, 630, 670, 490, 500, 550, 400, 350, 440, 490, 620, 660, 700, 730, 740, 560

Let $\sigma$ = population standard of the reading and writing section SAT score of the students in this school

So, Null Hypothesis, $H_0$ : $\sigma \leq$ 100 {means that the reading and writing section SAT score of the students in this school is lesser than or equal to 100}

Alternate Hypothesis, $H_A$ : $\sigma$ > 100 {means that the reading and writing section SAT score of the students in this school is higher than 100}