Mrs.Morales wrote a test with 15 questions covering spelling and vocabulary.spelling questions (x )are worth 5 points and vocabulary questions (y)are worth 10 points.the maximum number of points possible on the test is 100.

Answers

Answer 1
Answer: Here's our data:
15 questions total
Total number of points: 100
Spelling questions are worth 5 and represented by x
Vocab questions are worth 10 and represented by y
Therefore:
x+y=15
5x + 10y= 100

So:
x+y=15
x= 15-y

5x +10y =100
5(15 -y) +10y =100
75 -5y +10y =100
75 +5y = 100
5y=25
y=5

x +y=15
x+5=15
x=10
There are 10 spelling questions and 5 vocab questions

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A chess player moves a knight from the location (3,2) to (5,1) on a chessboard. If the bottom-left squared is labeled (1, 1), the translation made is? If the player moves the knight from (5, 1) to (6, 3), the translation made is?

Answers

1. A chess player moves a knight from the location (3,2) to (5,1) on a chessboard.This means that

(3,2)→(5,1).

the translation rule is

(x,y)→(x+2,y-1) or in words 2 units right and 1 unit down.

2. If the player moves the knight from (5, 1) to (6, 3), then the translation is

(5,1)→(6,3)

and the rule is

(x,y)→(x+1,y+2).

This is translation 1 unit right and 2 units up.

First translation: 2 units to the right and 1 unit down.

Second translation:1 unit to the right and 2 units up

Alicia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space, as shown below:(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

Based on the sample space, what is the probability of getting a total of 7?

4 over 36
5 over 36
6 over 36
8 over 36

Answers

i think the answer is 8/36 but i am not sure

After 1 year, a bank account contains $7,746.90. After 2 years, the same account contains $7,901.84. Assuming no deposits or withdrawals are made, which equation can be used to find y, the amount of money in the account after x years? (Round money values to the nearest penny.)

Answers

These are the choice given. I'll just substitute x with 1 and 2 to see if the amount corresponds to the given amount.
A.    y = 7591.96(1.02)x
  y = 7,591.96(1.02)¹ = 7,743.80 
  y = 7,591.96(1.02)² = 7,898.68

B.   
y = 7591.96(0.02)x
y = 7,591.96(0.02)¹ = 151.84
y =7,591.96(0.02)² = 3.04

C.   
y = 7595(1.02)x    THIS IS THE CORRECT EQUATION.
y = 7,595(1.02)¹ = 7,746.90
y = 7,595(1.02)² = 7,901.84

D.   
y = 7595(0.02)x
 

Simonne used the following steps to simplify the given expression. 12 - 3(-2x + 4) Step 1: 12 + (–3)·(–2x) + (–3)·(4)
Step 2: 12 + 6x + (–12)
Step 3: 12 + (–12) + 6x
Step 4: 0 + 6x Step 5: 6x

What property of real numbers was used to transition from Step 3 to Step 4?
A. identity property of addition
B. inverse property of addition
C. associative property of addition
D. commutative property of addition

Answers

inverse property of addition
B: inverse property of addition

Solve for x. x/a+b=c

Answers

x=c×a-b because Every thing you do to 1 side you have to do to the other

F (t) = 2t - 3 f (7)

Answers

Answer:

11

Step-by-step explanation:

Here the given function, f(t)=2t-3 By substituting t = 7 in the above equation, We get, (7)=2\times 7-3  =14-3   ( By multiplication )

=11  ( By subtraction ) Hence, the value of f(7) is 11 for the given function.