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N76 [4]
3 years ago
5

(c) Ada is x years old and Bill is y years old.

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0

Using a system of equations, it is found that the simplified equation is y = 6x - 5.

  • Ada is x years old.
  • Bill is y years old.

Last year, Ada was x - 1 years old and Bill was y - 1 years old.

Bill was <u>6 times as old as Ada</u>, hence:

y - 1 = 6(x - 1)

y - 1 = 6x - 6

y = 6x - 6 + 1

y = 6x - 5

The simplified equation is y = 6x - 5.

For a similar problem, also involving a system of equations, you can check brainly.com/question/13773803

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What is the slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0)?
Nikolay [14]

The slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.

<h3>What is the slope?</h3>

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The slope of the line is found as;

\rm m = \frac{y_2-y_1}{x_2-x_1} \\\\ m = \frac{0-4}{6-(-2)} \\\\ m = \frac{-4}{8} \\\\ m = \frac{-1}{2}

The standard line equation is;

y-y₁=m(x-x₁)

\rm y-4= \frac{-1}{2}(x-(-2)) \\\\ 2y-8 = x+2 \\\\ 2y =x+10 \\\\ y = 0.5 x + 5

Hence, the slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.

To learn more about the slope, refer to the link;

brainly.com/question/3605446

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6 0
2 years ago
For each of the following research scenarios, decide whether the design uses a related sample. If the design uses a related samp
Wewaii [24]

Answer:1. uses a related sample - repeated measures

2. . does not use a related sample--a

Step-by-step explanation:

Question 1.

step1  A repeated measure design is a design which measures a given sample repeatedly over a given time using different conditions or related measures.

step 2:In the treatment for compulsive hoarding, Here, measures are taken two times ie before and after treatment on the same 50 hoarders which shows a repeated measure, also the design is a within related sample of the same 50 hoarders to give measurement at different conditions  of treatment for  high and low hoarding scores so the design describes  a related sample - repeated measures

Question 2:

step 1 ; An unrelated sample  occurs when Samples being measured do not depend on each other  

Step 2;  1st Sample for comparison by John are random lonely people  and Second Sample are random non lonely people. so the two samples are independent on each other and will give different  measurement based on quality of sleep.   So the design does not use a related sample

8 0
3 years ago
Answer fast ..................​
Kitty [74]

Answer:

Please check the explanation.

Step-by-step explanation:

Ascending Order:

When we talk about the numbers to be arranged in ascending order, it means the numbers need to be arranged from smallest to largest.

For example, if we have to arrange the numbers from 1 to 5 in ascending order.

It means, the ascending order will be: 1, 2, 3, 4, 5

Now, let us arrange the given numbers in ascending order.

a) 2234 to 2238         2234          2235            2236          2237          2238

b) 4099 to 4103          4099          4100             4101            4102          4103

c) 3298 to 3302          3298          3299            3300         3301           3302

d) 7269 to 7273          7269          7270            7271            7272          7273

e) 6354 to 6358          6354           6355           6356           6357          6358

f) 8379 to 8383           8379           8380            8381           8382          8383

g) 7365 to 7369          7365           7366           7367           7368          7369

5 0
3 years ago
The radius is 7. Find the circumference of p. Leave your answer in terms of pi.
just olya [345]

Answer:

Step-by-step explanation:

Hi there!

According to the question;

radius (r) = 7

We know,

Circumference (c) = 2πr

                              = 2π * 7

                              = 14π

Therefore the circumference of p is 14π.

Hope it helps!

5 0
3 years ago
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Viktor [21]
1)
y = kx
-12 = k(9)
k = -4/3

y = (-4/3)(-4)
y = 16/3

2)
y = kx
8 = 20k
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y = (2/5)(10)
y = 4


3)
y= kx
-6 = k(-14)
k = 3/7

-4 = (3/7)x
-4(7/3) = x
x = -28/3
6 0
3 years ago
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