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4 years ago

What is the y-coordinate of the solution of the system of equations? {y=3x−262x−y=19

Mathematics

1 answer:

givi [52]4 years ago

6 0

Answer:

Step-by-step explanation:

y = 3x − 26

2x − y = 19

2x - (3x - 26) = 19

2x - 3x + 26 = 19

- x = - 7

x = 7

y = 3•7 -26 = 21 - 26 = - 5

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Alex has a truck. 42% of the miles he drove last month were for work. If Alex drove 588 miles for work, how many miles did he dr

marshall27 [118]

Answer:

He drive <u>1,400 miles</u> last month all together.

So, option <u>B) 1,400</u> is the correct answer.

Step-by-step explanation:

Given:

Alex has a truck. 42% of the miles he drove last month were for work.

If Alex drove 588 miles for work.

Now, to find miles he drive last month all together.

Let the miles he drive last month all together be $x.$

42% of the miles he drove last month were for work.

Alex drove 588 miles for work.

Now, to get the miles he drive last month all together we put an equation:

$42\%\ of\ x=588$

$\frac{42}{100} \times x=588$

$0.42\times x=588$

$0.42x=588$

<em>Dividing both sides by 588 we get:</em>

$x=1400\ miles.$

Therefore, he drive 1,400 miles last month all together.

So, option B) 1,400 is the correct answer.

4 0

3 years ago

How to solve equations in which the variable is in an exponent

Temka [501]

Answer:

It depends on the equation.

If the bases are equal and the variables are only in the exponents, set the exponents equal.

If there are variables in the exponents, but you cannot set the bases equal, then use logarithms.

Example 1:

$4^{2x + 5} = 4^9$

Here you have the same base on both sides. The variables are in the exponents. Set the exponents equal and solve for x.

2x + 5 = 9

2x = 4

x = 2

Example 2:

$3^{2x} = 9^{6}$

The bases are different, but you can make the bases equal using laws of exponents. Remember that 9 = 3^2.

$3^{2x} = (3^2)^{6}$

$3^{2x} = 3^{12}$

Now you have equal bases, so the exponents must be equal.

2x = 12

x = 6

Example 3:

$10^{x + 2} = 9$

Here you can't make the bases equal, so you take the log of both sides and use laws of logs.

$\log(10^{x + 2}) = \log 3^2$

$(x + 2) \log 10 = 2 \log 3$

Recall that: $\log 10 = 1$

$x + 2 = 2 \log 3$

$x = 2 \log 3 - 2$

3 0

3 years ago

What, approximately, is the mean weight for babies born

jonny [76]

I think the answer will be c

8 0

3 years ago

What is the sun of the 9th square number and the 2nd square number?

scoray [572]

Answer:

Step-by-step explanation:

The 9 th square number is 9² = 81

The 2 nd square number is 2² = 4

sum = 81 + 4 = 85

3 0

3 years ago

Mina has 5 more marbels than Kirsty

Alja [10]

Equations: m = k + 5 k = s + 2 m + k + s = 30 ----------------------- Substitute for "m" and for "s":: k+5 + k + k-2 = 30 3k +3 = 30 3k = 27 Kirsty has 9 marbles --- Mina has 9+5 = 14 marbles Seb has 9-2 = 7 marbles

6 0

3 years ago