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Sunny_sXe [5.5K]
3 years ago
14

What is the slope of a line that passes through (1,77) and (3,40)

Mathematics
1 answer:
natka813 [3]3 years ago
5 0

Answer:

-18.5

Step-by-step explanation:

find the gradient

40-77=-37

3-1=2

-37/2=-18.5

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Write algebraic expressions to represent the following:
Alborosie

Answer:

a) x + y

b) m x 7 or 7m

c) m x 3 or 3m

d) \frac{n - 3}{4}

Step-by-step explanation:

a) the sum of x and y

- the sum most likely always means addition

b) the product of m and 7

- the product usually means multiplucation

c) the cost of 3 movie tickets at m dollars each

- so your getting 3 movie tickets at $m

the total would be m + m + m which is the same as mutiplying m by 3

d) 3 less than n, all divided by 4

- 3 less than n

less than usually means subtraction

than divided by 4

6 0
2 years ago
Read 2 more answers
Two princesses, Nat and Kat, are gifted with a savings account from their royal parents, Matt and Pat, when they turn 5 years ol
Arte-miy333 [17]

Answers and Step-by-step explanations:

(a) We want to find the slope-intercept equation (y = mx + b), where m is the slope and b is the y-intercept. We already have two points: (2, 6200) and (7, 21200). The slope is change in y over change in x so:

m = (21200 - 6200) / (7 - 2) = 3000

Now, we have y = 3000x + b. Plug in 6200 for y and 2 for x to solve for b:

y = 3000x + b

6200 = 3000 * 2 + b

b = 200

Nat's equation is y = 3000t + 200.

(b) We want a quadratic formula in vertex form because the problem says that Kat's account maxes out at 44100 on her 25th birthday, indicating that's the vertex. Our vertex point is (20, 44100); note that it's 20 and not 25 because she starts the account at age 5, not age 0. The generic vertex form of a quadratic is:

y = a(x - h)² + k, where (h, k) is the vertex

Plug in our vertex:

y = a(x - 20)² + 44100

We also have the point (9, 32000), so put that in to find a:

32000 = a(9 - 20)² + 44100

-12100 = a * 121

a = -100

So Kat's equation is y = -100(t - 20)² + 44100.

(c) In order to find the age when they have the same amount, we set the two equations equal:

3000t + 200 = -100(t - 20)² + 44100

-100(t² - 40t + 400) + 44100 = 3000t + 200

-100t² + 4000t - 40000 + 44100 - 3000t - 200 = 0

-100t² + 1000t + 3900 = 0

t² - 10t - 39 = 0

(t - 13)(t + 3) = 0

t = 13 or t = -3   --   obviously, years can't be negative, so t = 13.

Note, however, that t is the number of years <em>after</em> Kat and Nat are 5, so we need to add 13 to 5:

13 + 5 = 18

The age is 18.

4 0
3 years ago
Read 2 more answers
0.60 10 000 % = 0.00006% 0 6 X 10-5% ayudemnea resolverlo
o-na [289]

Answer:

I dunno understand if what kind of opperation you're doing. Is there a multiplication?

<h3>Step-by-step explanation:</h3>

0.60 · 10,000 % = 0.00006 % · 0.6<em>x </em>· 10-5%

If it's a multiplication the answer will be

X = 150125000/ 9

3 0
3 years ago
868 is greater than or less than 887
jeyben [28]
The answer for this is less than 887
5 0
3 years ago
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Here are the ingredients needed to make 8 pancakes.
jeka57 [31]

Answer:

a) 1000mL Milk

b) 60g Butter

Step-by-step explanation:

a) 250mL*4=1000mL

b) 5g*12=60g

8 0
3 years ago
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