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3 years ago

1.) evaluate the expression

Mathematics

1 answer:

sleet_krkn [62]3 years ago

7 0

Answer for # 1 is -4n+12
and the Answer for # 2 is MY+4y-8

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Solve for a in terms of b, c, and d: ab+c=d

aniked [119]

Answer:

The correct answer by solving question no 1 is

a=(d-c)/b

Step-by-step explanation:

ab+c=d

or,ab=d-c

Therefore,a=(d-c)/b

8 0

3 years ago

Read 2 more answers

Two towns are 1,100 miles apart. A group of hikers Starts from each town and walks down the trail toward each other. They meet a

OLga [1]

Answer:

3.54 and 1.04

Step-by-step explanation:

Given:

Two towns are 1,100 miles apart.

A group of hikers Starts from each town and walks down the trail toward each other..

They meet after a total hiking time of 240 hours.

If one group travels 2 1/2 mile per hour slower than the other group.

Question asked:

Find the rate of each group.

Solution:

Let speed of faster hiker = $x\ mph$

Speed of slower hiker = $x-\frac{5}{2}\ mph$

As we know:

$Distance=speed\times time$

Total distance between two town = Total combined speed of both hikers $\times$ Total combined time taken

$1100=(x+x-\frac{5}{2} )\times240\\ \\ Dividing\ both\ sides\ by\ 240\\ \\ 4.58=(x+x-\frac{5}{2} )\\ \\ 4.58=2x-\frac{5}{2} \\ \\Adding\ both\ sides\ by\ \frac{5}{2} \\ \\ 4.58+ \frac{5}{2}=2x- \frac{5}{2}+ \frac{5}{2}\\ \\ \frac{2\times4.58+5}{2} =2x\\ \\ \frac{14.16}{2} =2x\\ \\ By \ cross\ multiplication\\ \\ 2\times2x=14.16\\ \\ 4x=14.16$

$By\ dividing\ both\ sides\ by \ 4\\ \\ x=3.54\ miles\ per\ hour$

Speed of faster hiker = $x\ mph$ = 3.54 miles per hour.

Speed of slower hiker = $x-\frac{5}{2}\ mph$ =

$3.54-\frac{5}{2} =3.54-2.5=1.04\ miles\ per\ hour$

Therefore, speed of faster hiker is 3.54 miles per hour and speed of slower hiker is 1.04 miles per hour.

8 0

3 years ago

Use special right triangles to solve for the exact value of x. 4 9 16

Gelneren [198K]

Answer: A basic theorem for finding the third length of a right angle triangle is the Pythagoras Theorem.

In a right angle triangle, the slant and usually longest side is called the Hypotenuse while the other two sides are Opposite and Adjacent.

The Pythagoras Theorem States:

$hypotenuse^{2} = opposite ^{2} + adjacent ^{2}$

Step-by-step explanation:

If for example, we are given the other two sides as 3 and 4 respectively,

Using

$Hyp^2=Opp^2+Adj^2$

$Hyp^2 =3^2+4^2=25$

Hypotenuse = $\sqrt{25}$ =5

These set of numbers (3,4,5) in this that satisfies the theorem are called Pythagorean Triples

7 0

3 years ago

I need help with 6,7,8,9

algol [13]

Hi there!

6. x² + 6x = 27
subtract 27 on both sides to make the equation equal to 0.
x² + 6x - 27 = 0
(x - 3)(x + 9) = 0
x - 3 = 0 x + 9 = 0
x = 3 x = -9

7. k² - 13k + 36 = 0
(k - 9)(k - 4) = 0
k - 9 = 0 k - 4 = 0
k = 9 k = 4

8. g(x) is translated up 5 from f(x).

9. g(x) is reflected by x-axis, then translated 3 down from f(x).

Hope this helped! :)

7 0

3 years ago

O.405 as a fraction

NikAS [45]

Answer:

$\frac{405}{1000 }$

3 0

3 years ago

Read 2 more answers