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podryga [215]
3 years ago
7

Three times the larger of two numbers is equal to four times the smaller. The sum of the numbers is 21. Find the numbers.

Mathematics
1 answer:
irakobra [83]3 years ago
4 0
3 * x = 4y (from the question)
X+y = 21 (from the question)

3(21-y) = 4y (sub equation 2 in equation 1)

63-3y = 4y

Y=9 (now you sub the 9 instead of y in any of the equations and solve for x)
X=21-y = 21-9 = 12

Hope it helps, the logic is sound just go over the math.
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When asked to write the domain for the equation y= |x - 6| + 3, Mary wrote the Domain is y < 3. What mistake(s) did Mary make
castortr0y [4]

Answer:

Ok, the domain is the set of values that we can input in a function.

In this case, we have:

y = Ix - 6I + 3.

Notice that there is no restriction here, x can actually take any value, then the domain will be the set of all real numbers.

The correct domain is x, x ∈ R

Now, if we had (for example) something like:

y = Ix - 6I < 3

Now we have a restriction in the domain because we can not have y equal or larger than 3.

To find the domain, we can break the absolute value:

Ix - 6I < 3

is equivalent to:

-3 < x - 6 < 3

now let's add 6 in each side.

-3 + 6 < x - 6 + 6 < 3 + 6

3 < x < 9

That will be the domain in that case.

6 0
2 years ago
National polls are often conducted by asking the opinions of a few thousand adults nationwide and using them to infer the opinio
Valentin [98]

Answer:

Sample: few thousand adults

Population: all the adults

Step-by-step explanation:

A sample is a subset of the population, selected randomly.

In this case:

The sample consist of the few thousand adults selected to determine the opinions about the National polls.

The population consist of all the adults belonging to the said nation.

Consider an example about the new President election.

To determine which of the two candidates (say <em>A</em> and <em>B</em>) has a higher probability of winning the President election, the election society took a random sample of voters and asked who they think will be a better president.

The sample selected will be large enough, probably 10% of the population of all voters.

From this study it can be estimated which candidate has the higher chance of winning.  

5 0
3 years ago
How do you multiply 23.50*23.74
Mamont248 [21]

Answer:

557.89

Step-by-step explanation:

Download photomath on Appstore it'll help you explain. but basically you multiply each digit at the bottom to the whole number on the top

    23.50

<u>x   </u><u>23.74</u>

       940     ====== 23.50 multiply to 4

    16450     ====== 23.50 multiply to 7

    70500    ====== 23.50 multiply to 3

<u>+   470000   </u> ====== 23.50 multiply to 2

   557.890    ====== Add all the numbers together, move the decimal sign down to align with the result

<u />

4 0
3 years ago
IM GIVING 40 POINTS PLEASEEEEE
Mars2501 [29]

Answer:

Answer is $110.25. You figure out how.

Step-by-step explanation:

7 0
2 years ago
Please help me I need help
sdas [7]

Answer:

3.51

Step-by-step explanation:

i took 9.2 ÷ 4.14 to find how much they charged per oz. then i took 7.8 and multipled it by 45 cents per oz.

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3 years ago
Read 2 more answers
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