All categories

3 years ago

one number is five more than twice another . if their sum is decreased by ten the result is twenty. find the numbers

Mathematics

1 answer:

lina2011 [118]3 years ago

4 0

Answer:

(25/3, 65/3) or x=25/3, y=65/3 or The numbers are 25/3 and 65/3.

Step-by-step explanation:

2x+5=y

(x+y)-10=20

-------------------

2x+5=y

x+y=20+10

---------------

y=2x+5

x+y=30

------------

x+2x+5=30

3x+5=30

3x=30-5

3x=25

x=25/3

y=2(25/3)+5

y=50/3+5

y=50/3+15/3=65/3

x=25/3, y=65/3.

You might be interested in

The school has t-shirts to hand out. They have 10 hot pink shirts, 6 neon green shirts, 9 bright yellow shirts, and 11 vibrant b

Alex17521 [72]

Answer:

A. 11/36

Step-by-step explanation:

Add all the numbers together(36), and then see how many out of that number are the vibrant blue shirt. Since they are asking the probability of you being given a vibrant blue shirt, and there are 11 out of the 36 shirts, therefore you have an 11/36 chance that you will be given a vibrant blue shirt.

5 0

3 years ago

Read 2 more answers

What is 5 multiplied by 2

OleMash [197]

10.

5 multiplied by 2 "5 x 2" = 10

6 0

3 years ago

In ΔJKL, k = 9.6 cm, l = 2.7 cm and ∠J=43°. Find ∠L, to the nearest 10th of a degree.

Bogdan [553]

Answer:

L = 10.64°

Step-by-step explanation:

From the given information:

In triangle JKL;

line k = 9.6 cm

line l = 2.7 cm; &

angle J = 43°

we are to find angle L = ???

We can use the sine rule to determine angle L:

i.e

$\dfrac{j}{SIn \ J} = \dfrac{l}{ SIn \ L}$

Using Pythagoras rule to find j

i,e

j² = k² + l²

j² = 9.6²+ 2.7²

j² = 92.16 + 7.29

j² = 99.45

$j = \sqrt{99.45}$

j = 9.97

∴

$\dfrac{9.97}{Sin \ 43} = \dfrac{2.7}{ Sin \ L}$

${9.97 \times Sin (L ) = (2.7 \times Sin \ 43)$

$= Sin \ L = \dfrac{ (2.7 \times Sin \ 43)}{9.97 } \\ \\ = Sin \ L = \dfrac{ (2.7 \times 0.6819)}{9.97 } \\ \\ = Sin \ L = 0.18466 \\ \\ L = Sin^{-1} (0.18466) \\ \\ L = 10.64 ^0$

3 0

3 years ago

The assembly room has 6 rows with 30 chair in each row. If third grader fill 3 rows, how many third grader are in the room?

mr Goodwill [35]

30 x 3 = 90 their are 90 3rd graders in the room

7 0

3 years ago

Read 2 more answers

The Royal Fruit Company produces two types of fruit drinks. The first type is 60% pure fruit juice, and the second type is 85% p

elena-s [515]

Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2

The equation
x + y = 120
60% x + 85% y = 65% (x + y)

Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x

From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24

y = 4x
y = 96

The first type should be 24 pints, the second type should be 96 pints

5 0

3 years ago