What is the answer to 7n-2(n+5)< 3n-16

Answers

Answer 1

Answer: 7n-2(n+5)< 3n-16 / -3n-16
7n-2(n+5)-3n+16<0
5n-3n-10+16<0
2n-10+16<0
2n+6<0 / -6
2n< -6 / :2
n< -6/2
n< -3
nє(-∞:-3)

Answer 2

Answer: 7n-2(n+5)< 3n-16
7n-2n+10<3n-16 Distribute the 2 into n+5
5n+10<3n-16 Subtract like figures
5n-3n+10<3n-3n-1 Subtract 3n from each side. (You want the variable on ONE side.)
2n+10-10<-16-10 Isolate the variable. Negative plus negative= bigger negative.
2n/2< -26/2 Negative divided by positive= smaller negative. Divide by 2 to isolate.
n<-13

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Elena and Jada are 24.5 miles apart on a path when they start moving toward each other. Elena bikes at a constant speed of 8 miles per hour, and Jada runs at a constant speed of 6 miles per hour. How long does it take until Elena and Jada meet? Explain your reasoning.

Answers

Answer:

when they reach each other Elana would have gone 16 miles for 2 minutes And jada would for a minite to reach elana

Step-by-step explanation:

Solve i=prt if i=105, p=700 & r=0.05

Answers

assuming you're trying to find t, first you would plug in the numbers given to get 105=(700)(.05)t
next, you multiply p and r to get 105=35t
after that, you divide the 105 by 35 to get the final answer of t=3

6. a Suppose the measure of an angle is 25°. What is the measure of its complementary angle?

Answers

Answer:

65°

Step-by-step explanation:

A pair of complementary angles' measurements combined is equal to 90° in measurement. One of the angles given is 25°. To find the other one, simply subtract 90 with 25:

90 - 25 = 65

65° is the measurement of the complementary angle.

Answer:

Step-by-step explanation:

a complementary angle is either of two angles whose sum is 90°.

90 - 25 = 65

Simplify 16/3(6/8b+9/2).

Write in simplest form.

Answers

3/8 = 0.37500
hope its right...!!!!!

16/3(6/8b+9/2) Final result : 4 • (b + 6)

Step by step solution :Step 1 : 9 Simplify — 2 Equation at the end of step 1 : 16 6 9 —— • ((— • b) + —) 3 8 2Step 2 : 3 Simplify — 4 Equation at the end of step 2 : 16 3 9 —— • ((— • b) + —) 3 4 2 Step 3 :Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

      The left denominator is :       4

      The right denominator is :       2

        Number of times each prime factor
        appears in the factorization of: Prime
Factor  Left
Denominator  Right
Denominator  L.C.M = Max
{Left,Right} 2212 Product of all
Prime Factors 424

Least Common Multiple:
4

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

    Denote the Least Common Multiple by  L.C.M
    Denote the Left Multiplier by  Left_M
    Denote the Right Multiplier by  Right_M
    Denote the Left Deniminator by  L_Deno
    Denote the Right Multiplier by  R_Deno

   Left_M = L.C.M / L_Deno = 1

   Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

3.3 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respectiveMultiplier.

L. Mult. • L. Num. 3b —————————————————— = —— L.C.M 4 R. Mult. • R. Num. 9 • 2 —————————————————— = ————— L.C.M 4 Adding fractions that have a common denominator :

3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3b + 9 • 2 3b + 18 —————————— = ——————— 4 4 Equation at the end of step 3 : 16 (3b + 18) —— • ————————— 3 4 Step 4 : 16 Simplify —— 3 Equation at the end of step 4 : 16 (3b + 18) —— • ————————— 3 4 Step 5 :Step 6 :Pulling out like terms :

6.1 Pull out like factors :

3b + 18 = 3 • (b + 6)

Final result : 4 • (b + 6)

How many 5/8 -foot pieces of wood can you cut from a board that is 4/5/8 ft long?

Answers

Answer:

Step-by-step explanation:

4 5/8 divided by 5/8 = 7 2/5

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Answers

A tringular prism. The picture attached shows it- the 3 rectangular faces are the sides and bottom; the 2 triangular are the front and back. Hope this helps!!

Triangular Prism is the figure

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