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2 years ago

Combine like terms for 2z - z + 6

Mathematics

1 answer:

zzz [600]2 years ago

5 0

If you combine 2z and -z you get z.

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If a sequence of 8 consecutive odd integers with increasing values has 9 as its seventh term. What is the sum of the terms of th

klemol [59]

Answer:

$Sum = 32$

Step-by-step explanation:

Given

Sequence = Consecutive Odds

$T_7 = 9$

Required

The sum of the terms

A sequence of odd number has a difference of 2. So, the sequence is represented as:

$S = \{-3,-1,1,3,5,7,9,11\}$

Add up all terms in the sequence

$Sum = -3-1+1+3+5+7+9+11$

$Sum = 32$

8 0

3 years ago

The painter made— or quart of purple paint

Andreas93 [3]

Answer:

32 oz

Step-by-step explanation:

Im assumin you mean how many oz

3 0

2 years ago

4x + 5y = 10

Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

$ax+by = c$

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

$a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16$

"In order for a system of equations to have infinity many solutions,

$\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}$ "

Putting the values we get

$\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8$

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

5 0

2 years ago

Bobby catches 8 passes in 3 football games. At this rate how many passes dose he catch in 15 games?expine

stepan [7]

Answer: 40

Step-by-step explanation:

I can see the answer is 40, but let's try to figure out how to do it.

I like to use the rule of 3. Let's put the number of passes on the left side and the number of games on the right side.

$\frac{8}{x}=\frac{3}{15}$

''x'' represents the number of passes in 15 games.

Solve for x;

$x=\frac{15*8}{3}\\ x=\frac{120}{3}\\ x=40$

8 0

3 years ago

3. What is the value of x

ad-work [718]

Answer:

Step-by-step explanation:

using HYPOTHENUS theorem

8^2 + 6^2 = x^2

64 + 36= 100

√100=10

3 0

3 years ago

Read 2 more answers