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3 years ago

Simplify ‐19 ‐ 7( ‐17z + 13) 4n ‐ 3( ‐9n + 13)

Mathematics

2 answers:

nataly862011 [7]3 years ago

8 0

Answer:

for the first one it's 119z−110

the second one is 31n−39

i'm not sure if you wanted both together

so here just incase

31n+119z−149

Step-by-step explanation:

ivolga24 [154]3 years ago

3 0

Answer:

the first answer is 119z-110

the second on is 31n-39

Step-by-step explanation:

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Georgio drives 10 miles east, then 16 miles north, then 4 miles north again. Find the distance from his starting point to his en

larisa86 [58]

Answer:

22.36 mile.

Step-by-step explanation:

Please see attached photo for explanation.

In the attached photo, y is the distance between starting point and the end point.

Thus we can obtain the value of y by using the pythagoras theory as show below:

Note: y is the longest side other wise known as the Hypothenus.

y² = 10² + 20²

y² = 100 + 400

y² = 500

Take the square root of both side

y = √500

y = 22.36 mile

Therefore, the distance between the starting point and the end point is 22.36 mile

3 0

4 years ago

Separate the number 219 into three parts. The second number is two less than 5 times the first number, and the third number is 4

Sav [38]

Let us assume the first number = x
Then the second number = 5x -2
The third number = x + 4
The total number that needs to be divided into three parts is 219
Then we can write the equation as
x + 5x - 2 + x + 4 = 219
7x + 2 = 219
7x = 219 - 2
7x = 217
x = 217/7
= 31
Then
First number = 31
Second number = 5x - 2
   = (5 * 31) - 2
   = 155 -2
= 153
Third number = x + 4
   = 31 + 4
   = 35
So the three numbers are 31, 153 and 35.

4 0

3 years ago

Find the volume of a cylinder that has a diameter of 12 in. and a height of 15 in

daser333 [38]

Answer:

<h3> $\sf{ \boxed{ \bold{1697.14}}}$ </h3>

Step-by-step explanation:

Given,

diameter ( d ) = 12 in

height ( h ) = 15 in

finding the radius of a cylinder

Radius is just half of diameter.

Radius ( r ) = 12 / 2 = 6 in

finding the volume of a cylinder having radius of 6 in and height of 15 in

Volume of a cylinder =  $\sf{\pi \: {r}^{2} h}$ 

⇒ $\sf{ \frac{22}{7} \times {6}^{2} \times 15}$

⇒ $\sf{ \frac{22}{7} \times 36 \times 15}$

⇒ $\sf{1697.14} \: in$ 

Hope I helped!

Best regards!!

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4 years ago

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A test consists of 18

Dominik [7]

A. True. about 10% because if you guess on every question you might not pass the test.

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4 years ago

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Simplify the radical expression ^3sqrt 125x^9 y^12

Soloha48 [4]

$\bf \sqrt[3]{125x^9y^{12}}~~ \begin{cases} 125=5\cdot 5\cdot 5\\ \qquad 5^3\\ x^9=x^{3\cdot 3}\\ \qquad (x^3)^3\\ y^{12}=y^{4\cdot 3}\\ \qquad (y^4)^3 \end{cases}\implies \sqrt[3]{5^3(x^3)^3(y^4)^3}\implies 5x^3y^4$

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3 years ago