3 years ago

What is the solution of the system of equations?

Mathematics

1 answer:

BartSMP [9]3 years ago

5 0

Answer:

x = 0, y = 5

Step-by-step explanation:

The solution is the point of intersection of the lines.

The intersection is at (0, 5).

Answer: x = 0, y = 5

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The difference in age between Brita and her daughter Eva is 30 years. The sum or their ages is 118. How old is Eva?

seraphim [82]

Answer: 44 years

Step-by-step explanation:

Let Brita's age be x and the daughter's age be y , then from the first statement :

$x - y = 30$

From the second statement :

$x + y = 118$

solving the resulting linear equation , add the two equations , we have

$2x = 148$

$x = 74$

substitute 74 into equation 1 to find the value of y

$74- y = 30$

$y = 74 - 30$

$y = 44$

Therefore :

Eva = 44 years

6 0

3 years ago

On average, cody runs 4 miles in 38 minutes. How fast should he plan to run a 10-mile race if he maintains this place.

enyata [817]

Answer:

Step-by-step explanation:

10/4=2.5

2.5x38=95

95 minutes= 1 hour 35 minutes

3 0

3 years ago

What is the volume in cubic inches of the cylinder, rounded to the nearest cubic inch?

son4ous [18]

$\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=9\\ h=7 \end{cases}\implies V=\pi (9)^2(7) \\\\\\ V=\pi (81)(7)\implies V=567\pi \implies V\approx 1781.28\implies \stackrel{\textit{rounded up}}{V=1781}$