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matrenka [14]
3 years ago
9

Ose has 50 coins in a jar. 20% are nickels, 40% are quarters, and the rest are pennies. (6.RP.3c-Benchmark #3)

Mathematics
2 answers:
____ [38]3 years ago
7 0

Answer:

Part A: pennies are 40% of the jar

Part B :

Nickels: 10

Quarters: 20

Pennies: 20

Step-by-step explanation:

Part A: since the nickels and quarters make up 60% of the jar the pennies make up the other 40%.

Part B:

Nickels: 20 percent of 50 (the amount of coins in the jar) is 10

Quarters & Pennies (since they have the same percentage): 40 percent of 50 is 20

cupoosta [38]3 years ago
5 0

Answer:

Part A: 40% are pennies

Part B: NIckels 10, Quarters 20, Pennis 20

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Solve and check the linear equation.<br> 3(x-2) + 8 = 2(x + 5)
ANEK [815]

Answer:

x = 8

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

3(x - 2) + 8 = 2(x + 5)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. (Parenthesis) Distribute:                                                                               3x - 6 + 8 = 2x + 10
  2. Combine like terms:                                                                                     3x + 2 = 2x + 10
  3. {Subtraction Property of Equality] Subtract 2x on both sides:                    x + 2 = 10
  4. [Subtraction Property of Equality] Subtract 2 on both sides:                      x = 8

<u>Step 3: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in <em>x</em>:                                                                                               3(8 - 2) + 8 = 2(8 + 5)
  2. (Parenthesis) Subtract/Add:                                                                         3(6) + 8 = 2(13)
  3. Multiply:                                                                                                         18 + 8 = 26
  4. Add:                                                                                                               26 = 26

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.

3 0
2 years ago
help!!! Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. y=2x+4
zhannawk [14.2K]

y- intercept = (0, 4), x-intercept = (- 2, 0)

to find the intercepts let x = 0 and y = 0 in the equation

x = 0 → y = 0 + 4 =4 ⇒ y-intercept (0, 4)

y = 0 → 2x + 4 = 0 ⇒ x = - 2 ⇒ x- intercept(- 2, 0)


8 0
2 years ago
Find the area of a triangle formed by placing the vectors [3, 6] and [7, 1] tail-to-tail.
Usimov [2.4K]

Answer:

a. A=10u^{2}

b. View graph

c. 6.40u

Step-by-step explanation:

knowing that the triangle area is equal to base by heigh between two, then:

A=\frac{bh}{2}=\frac{5*4}{2}=10u^{2}

The length of the longest altitude of your triangle is:

c^{2}=a^{2}+b^{2}=5^{2}+4^{2}=25+16=41\\    c=\sqrt{41}=6.40u

finally it can be seen that the position of the triangle does not matter, as long as the base and heigh are maintained, the area of ​​the triangle will be the same

6 0
3 years ago
Consider the quadratic function:<br> f(x) = x2 – 8x – 9
Bumek [7]

Solved in quadratic function
The answer :
X=(9,-1)
7 0
2 years ago
Is (-5,-3) a solution of the following equations ? 6x-2y=24 , -10x-2y=-56
natulia [17]
6x-2y=24
6(-5)-2(-3)=24
-30+6=24
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Yes
-10x-2y=-56
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50+6=-56
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Yes
The answer is= Yes. The solution is (-5.-3)
By the way, you have to show the work.
3 0
3 years ago
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