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FrozenT [24]
3 years ago
13

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:
kodGreya [7K]3 years ago
5 0
The correct option is B
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Please help me out, thanks!
krok68 [10]

Answer:

See below.

Step-by-step explanation:

A. Converting 2/9 to a decimal:

   -------------------------------------

9 ) 2.0

                                                                                                                   _

the quotient is  0.2 recurring (0.2222.........) which can be written as 0.2

8 0
3 years ago
What is the factored form of 27 - 530?
fenix001 [56]

Answer:

1,2,3

Step-by-step explanation:

8 0
3 years ago
The grounds keeper of Estofer Park has to mow 14,623 sq. ft. of grass. He can mow 13 sq. ft of grass in one minute. How many min
MA_775_DIABLO [31]

Answer: 1,124\frac{11}{13}\ minutes

Step-by-step explanation:

Let be "x" the time in minutes that will take him to mow the entire park.

You know that he can mow 13 square feet in 1 minute and he has to mow 14,623 square feet.

Then, you can write the following proportion:

\frac{1}{13}=\frac{x}{14,623}

Solving for "x", you get:

x=\frac{14,623}{13}\ min

To write that improper fraction as a mixed number:

- The quotient when you divide the numerator by the denominator of the fraction obtained, is 1,124 (This will be the whole number).

- The remainder of that division is 11  (This will be the numerator of the fraction).

- The denominator does not change.

Then:

x=1,124\frac{11}{13}\ min

8 0
2 years ago
∫c<br> x sin y ds, C is the line segment from (0, 1) to (3, 5)
Mnenie [13.5K]
Parameterize the line segment C by

\mathbf r(t)=\langle x(t),y(t)\rangle=(1-t)\langle0,1\rangle+t\langle3,5\rangle=\langle3t,1+4t\rangle

where t\in[0,1]. Then

\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt
\mathrm ds=\|\langle3,4\rangle\|\,\mathrm dt
\mathrm ds=5\,\mathrm dt

So the integral is

\displaystyle\int_Cx\sin y\,\mathrm ds=5\int_0^1x(t)\sin y(t)\,\mathrm dt
=\displaystyle5\int_0^13t\sin(1+4t)\,\mathrm dt
=\dfrac{15}{16}(\sin5-\sin-4\cos5)\approx-2.7516
3 0
3 years ago
Find each percent decrease. Round to the nearest percent.
Vsevolod [243]

Answer:

67%

Step-by-step explanation:

First of all, we must find the decrease;

39 - 13

=26

Then we can find the percentage decrease

26/13 ×100 =66.666..which can be written as 67.

5 0
2 years ago
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