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8090 [49]
3 years ago
7

Matthew and Ava have some money in the ratio 5:2. If Matthew gives $78 to Ava they will have the same amount of money. How much

money do they have altogether?
Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0

Answer:

is d

Step-by-step explanation:

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three numbers are in an arithmetic progression. Their sum is 3 and the sum of their squares is 11. what are the three numbers
Vlad [161]

The three numbers are 12, 18 and 24

Arithmetic progression

Let the 3 number in arithmetic progression be:

a-d, d, a+d ...

If their sum is 3, then;

a-d+d+a+d = 3

2a + d = 3 ........... 1

If the sum of their squares is 11, then;

(a-d)² + d² + (a+d)² = 11

a²-2ad+d²+d²+a²+2ad+d²  11

2a²+3d² = 11 ....... 2

Solving the equations simultaneously, d = 6 and a = 12

First-term = 12

second term = 18

Thirs term = 24

Hence the three numbers are 12, 18 and 24

Hope this helps you!!!!!! :D

5 0
2 years ago
Read 2 more answers
It is a linear equation but i don't know how to set the equation up , need help​
ryzh [129]

Step-by-step explanation:

x = number of novels

y = number of dictionaries

x = 8y

88x + 208y = 13680

now, using the identity of the first equation in the second equation gives us

88(8y) + 208y = 13680

704y + 208y = 13680

912y = 13680

y = 13680/912 = 15

x = 8y = 8×15 = 120

so, there were 120 novels and 15 dictionaries sold.

7 0
2 years ago
The owner of a new restaurant wants to have seating for more than 75 people. There is currently a
Irina18 [472]

Answer:

C. 4m + 3 > 75

Step-by-step explanation:

There is only one private chef's table so this remains constant at 3. There are m number of tables that will seat 4 people so 4 is multiplied by m.

8 0
3 years ago
Read 2 more answers
Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1
andrey2020 [161]

Answer:

Look to the attached graph

Step-by-step explanation:

* Lets revise how to graph the quadratic function

- Find the vertex of it

- Find the y-intercept

- Find the x-intercept

∵ f(x) = (x - 5)² + 1 ⇒ the completing square form

- The completing square form for any quadratic is

 ( x - h)² + k, where h and k are the coordinate of the vertex point

* Lets compare the two forms

∵ (x - h)² + k = (x - 5)² + 1

∴ h = 5 and k = 1

∴ The vertex of the parabola is (5 , 1)

- To find the x-intercept put f(x) = 0

∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides

∴ (x - 5)² = -1 ⇒ the square can not give -ve number

∴ The parabola does not intersect the x-axis

- To find the y-intercept put x = 0

∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26

∴ The parabola intersects the y-axis at point (0 , 26)

- The parabola is opened upward because the coefficient of x² is +ve

* Now lets graph it

- Look to the attached graph

5 0
3 years ago
Please help me i don't know what else to put here.........................
Pepsi [2]
ANSWERRR
1. 15%
2.20%
3.45%
3 0
2 years ago
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