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pishuonlain [190]
2 years ago
10

What is the solution to this system of equations?

Mathematics
1 answer:
kkurt [141]2 years ago
4 0

Answer:

C. x = 5, y = 2

Step-by-step explanation:

Simply plug in each given term in the answer choices, evaluate, then find out which two will make the system of equations authentic, or genuine.

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Steve had 7 more than twice as many quarters as dimes. if the total value of her coins was $10.15, how many of each kind of coin
NemiM [27]
X=quarters, y=dimes
7+2x=y
0.25x+0.1y=10.15
we substitute the first equation into the second equation
0.25x+0.1(7+2x)=10.15
0.25x+0.7+0.2x=10.15
0.45x+0.7-0.7=10.15-0.7
0.45x=9.45
0.45x/0.45=9.45/0.45
x=21 quarters
7+2x=y, x=21
7+2(21)=y
7+42=y
y=49 dimes
check: 0.25x+0.1y=10.15 when x=21, y=49
21(0.25)=5.25 in quarters
49(0.1)=4.90 in dimes 
5.25+4.90=10.15
3 0
3 years ago
For the period 1997-2003, the number of eggs y (in billions) produced in the United States can be modeled by the function y=-0.2
Viktor [21]

Answer:

Part a) The approximate years were 1998 and 2008

Part b) The graph in the attached figure

Step-by-step explanation:

Part a) we have

y=-0.27x^{2}+3.3x+77

For y=80\ billion\ eggs

Solve the quadratic equation

80=-0.27x^{2}+3.3x+77

0.27x^{2}-3.3x+3=0

we know that

The formula to solve a quadratic equation of the form ax^{2} +bx+c=0 is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

0.27x^{2}-3.3x+3=0

so

a=0.27\\b=-3.3\\c=3

substitute in the formula

x=\frac{3.3(+/-)\sqrt{-3.3^{2}-4(0.27)(3)}} {2(0.27)}

x=\frac{3.3(+/-)\sqrt{7.65}} {0.54}

x=\frac{3.3(+)\sqrt{7.65}} {0.54}=11.23\ years

x=\frac{3.3(-)\sqrt{7.65}} {0.54}=0.99\ years

therefore

The approximate years are

1997+11=2008

1997+1=1998

Part b)

Using a graphing tool

we have

y=-0.27x^{2}+3.3x+77

y=80

The solution of the system of equations is the intersection point both graphs

The intersection point are (0.99,80) and (11.23,80)

see the attached figure

therefore

The solution part a) is correct

3 0
3 years ago
You have been asked to analyze the popcorn recipes of three different local theatres in order to figure out which theatre has th
svlad2 [7]

Answer:    The ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.

Step-by-step explanation: Given that the manager of Theatre A says that they usually go through about 15 cups of popcorn kernels and about 5 cups of oil each weeknight.

Then, the ratio value of oil to popcorn kernels for theatre A is 5 / 15 = 1 / 5.

Given that the manager of Theatre B says that they order 18 cups of oil and 72 cups of popcorn kernels each week.

Then, the ratio value of oil to popcorn kernels for theatre B is 18 / 72 = 1 / 4.

Given that the manager of Theatre C says that their concessions use 6 cups of oil and 32 cups of popcorn kernels on a busy Saturday.

Then, the ratio value of oil to popcorn kernels for theatre C is 6 / 32 = 3 / 16.

3 0
2 years ago
Need help with 2 and 3 and express I’m radical form
kondaur [170]
This is just simple Pythagorean’s theorem. a^2 + b^2 = c^2

Number 2:
5^2 + x^2 = 10^2
25 + x^2 = 100
x^2 = 75
x = sqrt 75 = 5*sqrt(3)

Number 3:
4^2 + x^2 = 7^2
16 + x^2 = 49
x^2 = 33
x = sqrt 33
4 0
3 years ago
Whoever gets it right can have brainliest, but answer ASAP!
sveta [45]

Answer:

-29

Step-by-step explanation:

(-4 + -3) x 2^2 - 1

follow order of operations PEMDAS

Parentheses:

(-4 + -3) x 2^2 - 1

(-7) x 2^2 -1

exponents:

(-7) x 4 - 1

multiplication

-28 - 1

subtraction

-29

3 0
2 years ago
Read 2 more answers
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