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Alexus [3.1K]
3 years ago
6

The sum of two numbers is 98. Their difference is 22. Write a system of equations that describes this situation. Solve by elimin

ation to find the two numbers.
a.
x + y = 98
x – y = 22
55 and 33
c.
x – y = 98
x + y = 22
59 and 39
b.
x + y = 98
x – y = 22
60 and 38
d.
x + y = 22
y – x = 98
55 and 39
Mathematics
1 answer:
erik [133]3 years ago
6 0

Answer:

x + y = 98

x - y = 22

2x = 120

x = 60

x + 60 = 98

x = 38

the answer is b

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Answer:

Im not sure about Q1 but I'll help with Q2

9 =

\sqrt{81}

8 =

\sqrt[3]{512}

14 =

\sqrt{196}

2 =

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4 =

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8 0
2 years ago
HELP PLEASE! Find the standard deviation for Data set 1 and 2. round to the nearest hundred. DATA SET ONE: 8.2, 11.6 8.7, 10.6,
Elan Coil [88]

Answer:

0.92 and 1.25 respectively

Step-by-step explanation:

0.92 and 1.25 respectively

first the mean of each value which is 9.7 and 9.8 respectively

standard deviation = square root of the mean deviation of each value

then deduct the mean from each element

and square each value and add them together. not you should square each deviation value before you add them

at last divide the result by the number of frequency and find it's square root

3 0
3 years ago
Suppose that two people standing 2 miles apart both see the burst from a fireworks display. After a period of​ time, the first p
Usimov [2.4K]

Answer: approximately 5148 feet directly north of point A

This is equivalent to 0.975 miles

==============================================================

Explanation:

Check out figure 1 (attached image below) to see how the drawing is set up.

Points A and B are separated by 2 miles, or 10560 feet. Use the conversion factor 1 mile = 5280 feet.

Because sound travels at roughly 1100 feet per second (assuming all of the conditions are right), this means that after x seconds, the sound wave has traveled a total distance of 1100x feet. This is the distance from A to C. Point C is the firework location.

The distance from B to C is 1100(x+6) feet because it takes 6 more seconds for the soundwave to travel from C to B, compared from C to A.

Note that triangle ABC is a right triangle. The 90 degree angle is at point A.

We can use the pythagorean theorem to solve for x

See figure 2 in the attached images to see the steps on solving for x. The numbers get quite big, though in the end x is fairly small. We end up with x = 4.68, which is approximate due to the 1100 figure being approximate.

This means the sound wave takes about 4.68 seconds to go from point C to point A.

With this x value, we can compute the expression 1100x to get

1100*x = 1100*4.68 = 5,148 feet

To convert this to miles, divide by 5280

(5148)/(5280) = 0.975

Therefore,

5148 feet = 0.975 miles

6 0
3 years ago
I rlly need help with this gr 11 math problem
prohojiy [21]

Answer:

a) \frac{d-5.50}{0.45}

b) The inverse function is a reflection of the original function across the line

y = x. For example, if the function f applied to an input x gives a result of y, then applying its inverse function g to y gives the result x. So you would use it to find the x-value at a y just like you use the original to find the y value at an x.

Step-by-step explanation:

To do an inverse of a function you first switch the independent variable (d) and the dependent variable (c).

d = 0.45c + 5.50

Then you solve for c

d - 5.50 = 0.45 c

c = (d-5.50)/0.45

8 0
3 years ago
Your neighbor had to drop the selling price of her home from $180,000 to $165,000. What percent did the price get lowered? Round
Vikki [24]
You could do 165,000 divided by 180,000. This is 165000/180000, and that will give you the percentage that 165000 is of 180000 in decimal form, which is 0.9167.
Then we round to the nearest tenth, which is 0.92
0.92 as a percentage is 92%.
100% - 92% = 8%
The price of the home dropped by 8%.
8 0
3 years ago
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