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stiv31 [10]
3 years ago
6

Use the distributive property to simplify these expressions and combine all like terms.

Mathematics
1 answer:
xenn [34]3 years ago
6 0

Answer:

E. 14x + 14

Step-by-step explanation:

4(3x + 2)  + 2(x + 3) (distribute 4 to 3x and 2)

12x + 8 + 2(x + 3) (distribute 2 to the x and 3)

12x + 8 + 2x + 6 (collect like terms)

14x + 14

Hope this helps ya!!

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Which number sentence does the following number line represent A. 3+2=5 B. -3+5=2 C. 2+(-3)=5 D. 2+(-5)=-3
Vika [28.1K]
D.
It starts at 2, goes backwards 5, and ends at -3
7 0
3 years ago
Priya tried to solve an equation step by step. \qquad\begin{aligned} \dfrac f{0.25}&=16\\\\ \\ \dfrac{f}{0.25} \cdot0.25&amp
Zarrin [17]

Answer:

f=4

Step-by-step explanation:

Priya Tried to solve the equation below step-by-step:

\qquad\begin{aligned} \dfrac f{0.25}&=16\\ \dfrac{f}{0.25} \cdot0.25&=16\cdot0.25&\green{\text{Step } 1}\\  f&=4&\blue{\text{Step } 2}\\\end{aligned}

The steps are correct and indeed f=4.

7 0
3 years ago
Read 2 more answers
6(8f+10g) + 9g - 4(3g+9f)
Karolina [17]

Answer:84f+57g

Step-by-step explanation:

First, multiply everything in parenthesis.

Multiply the 6 by 8f+10g, and the 4 by 3g+9f.

This gets you 48f+60g+9g-12g+36f.

After that, just solve it like normal.

You get 84f+57g.

8 0
1 year ago
Letter b on number 11 is all I need help with. Thank you
Simora [160]

distance = 500 feet

Since Δ VWX and Δ YZX are similar then the ratios of corresponding sides are equal, that is

\frac{VW}{YZ} = \frac{VX}{YX} = \frac{WX}{ZX}

completing the required values gives

\frac{100}{l} = \frac{60}{30} ( cross- multiply )

60l = 30 × 100 = 3000 ( divide both sides by 60 )

l = 500

distance across the swamp is 500 feet



7 0
3 years ago
A bag contains 40 coins, all of them are either 2 cent or 5 cent coins. If the value of the money in the bag is $1.55, find the
dlinn [17]

Answer: Explanation:First, let's call the number of 2 cent coins: tNext, let's call the number of 5 cent coins: fWe can then write to equations from the information in the problem.Equation 1: t+f=40Equation 2: 0.02t+0.05f=1.55Step 1) Solve the first equation for t:t+f=40t+f−f=40−ft+0=40−ft=40−fStep 2) Substitute (40−f) for t in the second equation and solve for f:0.02t+0.05f=1.55 becomes:0.02(40−f)+0.05f=1.55(0.02×40)−(0.02×f)+0.05f=1.550.80−0.02f+0.05f=1.550.80+(−0.02+0.05)f=1.550.80+0.03f=1.550.80−0.80+0.03f=1.55−0.800+0.03f=0.750.03f=0.750.03f0.03=0.750.030.03f0.03=25f=25Step 3) Substitute 25 for f in the solution to the first equation at the end of Step 1 and calculate t:t=40−f becomes:t=40−25t=15The Solution Is:There are:15 two cent coins25 five cent coins

Step-by-step explanation:

5 0
2 years ago
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