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dangina [55]
3 years ago
6

The sum of three numbers is 62. The second number is equal to the first number diminished by 4. The third number is four times t

he first. What are the numbers?
Mathematics
1 answer:
Bingel [31]3 years ago
5 0

Answer:

The first variable is 11. The second variable is 7. The third variable is 44.

Step-by-step explanation:

First, make an equation with like variables. Instead of 62=x+y+z, change the equation into 62=x+(x-4)+4x. Then solve for x.

62= 6x-4

66= 6x

11=x

Then plug in x and solve for the other variables.

x=11

y=11-4=7

z=4(11)= 44

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Maggie buys 5 apples and 4 oranges for $10 and Lynn buys 5 apples and 5 oranges for $11. What is the price for an apple and what
nlexa [21]
Make 2 eqn, let a be apples and o be oranges:

1. 5a + 4o = 10
2. 5a + 5o = 11

set up an elimination:
1. minus 2.
5a + 4o = 10
- 5a + 5o = 11
____________
o = 1

sub “o” into one of the eqn

5a + 5(1) = 11
5a = 11-5
5a = 6
a = 6/5
a = 1.2

therefore, an orange costs $1.00 and an apple costs $1.20

6 0
3 years ago
Eugene walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph.
Fynjy0 [20]

\text{Answer: }1\frac{23}{40}\ miles\text{ far she live from school.}

Explanation:

Since we have given that

Speed at which Eugene walked all the way to school = 3 mph

After realizing that she forgot her math book, she ran back

Speed at which Eugene walked back to her house = 7 mph

Let the distance between her house and her school be x

According to question,

\frac{x}{3}+\frac{x}{7}=\frac{45}{60}\\\\\frac{7x+3x}{21}=\frac{3}{4}\\\\\frac{10x}{21}=\frac{3}{4}\\\\x=\frac{3\times 63}{4\times 10}=\frac{63}{40}=1\frac{23}{40}\ miles.

Hence,

1\frac{23}{40}\ miles\text{ far she live from school.}

8 0
3 years ago
10. The bill (including parts and labor) for the repair of an oven was $142. The cost
Lubov Fominskaja [6]

Total cost=$142

cost of parts=$62

cost paid for labour=$142-$62=$80

According to question,

》cost of labour per hr=$32

which can be written as,

》cost of labour/time=$32

Use cross multiplication,

》time=cost of labour/32

Since cost of labour is 80,

Time=80/32

=2.5hrs

6 0
3 years ago
PLEASE HELLPP!!!
Maslowich

Step-by-step explanation:

13.3 + ( - 7) \\ 13.3 - 7 = 6.3

4 0
3 years ago
What transformation is shown below?
Artist 52 [7]

Answer:

it's a translation

Step-by-step explanation:

it just moved (3,0). If it were a rotation the y-axis wouldn't be the same. If it were a reflection you would be able to flip the blue triangle onto the red triangle.

6 0
3 years ago
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