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postnew [5]
3 years ago
8

A man drives from home to the store, shops, and then drives back home.

Mathematics
1 answer:
nexus9112 [7]3 years ago
3 0
I need numbers...so yeah...
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Sam and Mary collect marbles. “If you give me 5 marbles I’ll have twice as many as you.” said Sam to Mary.
ivann1987 [24]

Answer:

54 marbles

Step-by-step explanation:

The question is a word problem leading to a simultaneous equation

Let 'x' represent the initial number of marbles with Sam, and let 'y' represent the initial number of marbles with Mary,

If Mary gives Sam 5 marbles, we have;

x + 5 = 2 × (y - 5)...(1)

If Sam gives Mary 4 marbles, we get;

x - 4 = y + 4...(2)

From equation (1), we get;

x + 5 = 2 × (y - 5) = 2·y - 10

x = 2·y - 10 - 5 = 2·y - 15

x = 2·y - 15...(3)

From equation (2), we have;

x - 4 = y + 4

∴ x = y + 4 + 4 = y + 8

x = y + 8...(4)

Equating the two values of 'x' in equation (3), and equation (4), we get;

2·y - 15 = y + 8

2·y - y = 8 + 15 = 23

∴ y = 23

From equation (4), we get;

x = y + 8 = 23 + 8 = 31

x = 31

The total number of marbles they have altogether = x + y

However, x + y = 23 + 31 = 54

Therefore;

The total number of marbles they have altogether = 54 marbles.

7 0
3 years ago
Look at the graph and choose the correct answer.
RideAnS [48]
So it’s -3 and the second one is +4
4 0
3 years ago
Expression "-3x^2+y4x" when x = "-4" and y = 2<br><br> A. -112<br> B. -80<br> C. 80<br> D. 272
Paraphin [41]
B, -3(-4)^2+(2)4(-4) plug into a calculator
6 0
3 years ago
Which equation represents a circle with a center at (-4, 9) and a diameter of 10 units
VLD [36.1K]
Radius = 1/2 * diameter = 5

Equation  is (x - (-4))^2 + (y - 9)^2 = 5^2

(x + 4)^2 + (y - 9)^2 = 25  is the answer
8 0
3 years ago
Read 2 more answers
What is twenty percent of 30
MrRissso [65]
The answer is 0.20 times 30 = 6
4 0
3 years ago
Read 2 more answers
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