All categories

3 years ago

Solve the system of equations using the substitution method.

Mathematics

2 answers:

andre [41]3 years ago

8 0

Answer: (-0.0549,-1.0732)

WARRIOR [948]3 years ago

7 0

Answer:

(6,7)

Step-by-step explanation:

took the test, was correct.

x= 6, y=7

solve for the first variable in one of the equations, then substitute the result into the other equations.

You might be interested in

HELP PLEASE!!

shutvik [7]

Answer:

6.5 x 10^6 To answer this question, you need to divide the mass of the sun by the mass of mercury. So 2.13525 x 10^30 / 3.285 x 10^23 = ? To do the division, divide the mantissas in the normal fashion 2.13525 / 3.285 = 0.65 And subtract the exponents. 30 - 23 = 7 So you get 0.65 x 10^7 Unless the mantissa is zero, the mantissa must be greater than or equal to 0 and less than 10. So multiply the mantissa by 10 and then subtract 1 from the exponent, giving 6.5 x 10^6 So the sun is 6.5 x 10^6 times as massive as mercury.

8 0

3 years ago

Read 2 more answers

Solve the compound inequality 9 + 3n >= 6 or 5n < 25.

babymother [125]

$9+3n \geq 6 \ \lor \ 5n\ \textless \ 25 \\
3n \geq 6-9 \ \lor \ n \ \textless \ \frac{25}{5} \\
3n \geq -3 \ \lor \ n \ \textless \ 5 \\
n \geq \frac{-3}{3} \\
n \geq -1 \\ \\
\boxed{n \geq -1 \hbox{ or } n\ \textless \ 5} \\ \\
\hbox{answer C}$

4 0

3 years ago

12 + 5x > 2 ( 8x - 6 ) - 7x<br><br>x > what number?

Aloiza [94]

12 + 5x > 2(8x - 6) - 7x

12 + 5x > 16x - 12 - 7x

5x - 16x + 7x > -12 - 12

-4x > -24 / : (-4)

x < 6

3 0

3 years ago

Read 2 more answers

The two rectangular prisms are similar. What is the volume of the larger rectangular prism? 240 cm³ 540 cm³ 1620 cm³ 3240 cm³ A

Andreas93 [3]

Volume of a figure is measure of the space it occupies. The volume of the larger rectangular prism is given as: Option C: 1620 cm³

<h3>How to calculate volume of a rectangular prism?</h3>

If a rectangular prism has dimensions <u>a</u> unit, <u>b</u> unit, and <u>c</u> units, then its volume is given as

$V = a \times b \times c \: \rm unit^3$

<h3>What are similar figures?</h3>

They are scaled. It means, if two figures are similar, then we can get one figure from another by multiplying some constant value(same for one pair of similar figure) to its dimensions.

For example,

if for given case, one rectangular prism has got dimensions a, b, and c centimetres, then

the second rectangular prism, which is similar, let the scale factor is 'd',t then second prism's dimensions will be a x d units, b x d units, and c x d units.

For first prism(smaller), its one side is given to be 5 cm, let its other two sides be 'b' cm, and 'c' cm, then,

$60 \: \rm cm^3 = 5\times b\times c \\\\b\times c = \dfrac{60}{5} = 12$

Now, the larger prism has 15 cm corresponding side, thus, scale factor was 3 (since 15 is 3 times 5).

Thus, its dimensions would be 15, 3 x b, 3 x c

Thus, its volume would be

$15 \times 3 \times b \times 3 \times c = 135 \times b\times c = 135 \times 12 = 1620 \: \rm cm^3$

Thus,

The volume of the larger rectangular prism is given as: Option C: 1620 cm³

Learn more about volume of rectangular prism here:

brainly.com/question/21308574

5 0

3 years ago

Write 72xy^2? as a prime factorization. Show all of your work!

kolezko [41]

9514 1404 393

Answer:

2³·3²·x·y²

Step-by-step explanation:

Unique prime factors are 2, 3, x, y. Each of those is raised to a power to obtain the given expression.

72xy² = 8·9·x·y² = 2³·3²·x·y²

6 0

3 years ago