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Alex73 [517]
3 years ago
5

Ryan gave seven of his model cars to a friend then he bought six more cars now Ryan has 13 cars how many did Ryan start with

Mathematics
1 answer:
Fed [463]3 years ago
5 0
Gave away 7 ⇒ -7

Bought 6 ⇒ + 6

Left with 13

If he did not buy the 6 cars ... 
13 - 6 = 7
If he did not give the 7 cars away ...
7 + 7 = 14

He has 14 cars at first.


13 - 6
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7 0
3 years ago
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are congruent.  That's no big deal, and it's no help in answering the
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The effect of the dilation is that all the DIMENSIONS of the square
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Then, when you multiply (length x width) to get the area, you'd have

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and that's
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                        =     (4)  x  (original area) .


Here's an easy, useful factoid to memorize:

-- Dilate a line (1 dimension) by 'x' times . . . multiply the length by  x¹

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_______________________________

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5 0
3 years ago
I'd really appreciate some help on these questions, I'm really struggling
nikklg [1K]
We can use linear combinations of the equations to eliminate variables.

3x - 4y = 1
-2x + 3y = 1

To eliminate y we'll make the linear combination of 3 times the first equation minus four times the second. 

9x - 12y = 3
-8x + 12y = 4

Adding,
x = 7

We could solve for y directly but let's use another linear combination, twice the first plus three times the second:

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y = 5

Check: 3(7)-4(5)=1 good.   -2(7)+3(5)=1 good.

Q18 Answer: (7,5)

y = -3x + 5
5x - 4y = -3

4y +1(5x - 4y) = 4(-3x + 5) + 1(-3)

5x = -12x + 20 -3

17 x = 17

x = 1
y = -3(1) + 5 = 2
Check: 5(1) - 4(2) = -3 good

Q19 Answer (1,2)

6x + 5y = 25
x = 2y + 24
6x = 12y + 144
5y = 25 - 12y - 144
17y = -119
y = -119/17= -7
x = 2y+24= 10
Check: 6(10)+5(-7)=25 good   2y+24=2(-7)+24=10=x good

Q20 Answer (10,-7)


3x + y = 18
-7x + 3y = -10
9x  + 3y = 54
9x - -7x = 54 - -10
16x = 64
x=4
y = 18 -3x = 18-12=6

Check: 3(4)+6=18 good,  -7(4)+3(6)=-10 good

Q21 Answer: (4,6)

6 0
3 years ago
Half of Hillary’s friend, Jamiz’s fourth grade class is female. Including Jamiz, there are 14 girls in the class. How many stude
Yuri [45]
Including Jamiz, there are 14 girls in the class. If this if half of the total number of pupils (as half are girls, the other half being boys) the total number of students is 14 × 2 = 28 students
3 0
3 years ago
Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 of the cho
Contact [7]

Answer:

9 packages of chocolate bars

Step-by-step explanation:

Let he bought c packages of chocolate bars and t packages of toffee bars,

Since, he bought 1 fewer package of chocolate bars than toffee bars.

⇒ c = t - 1  -----(1)

Also, he handed out out \frac{2}{3} of the chocolate bars and \frac{3}{5} of the toffee bars,

If he handed out the same number of each kind of candy bar.

\implies \frac{2}{3}\times c=\frac{3}{5}\times t

10c = 9t     ( By cross multiplication )

\implies t=\frac{10}{9}c    ( Division property of equality )

From equation (1),

c=\frac{10}{9}c-1

1=\frac{10}{9}c-c

1=\frac{10c-9c}{9}

1=\frac{c}{9}

\implies c = 9

Hence, he bought 9 packages of chocolate bars.

4 0
3 years ago
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