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Kay [80]
3 years ago
11

Three times one number added to five times another number is 54. The second number is two less than the first. Use a system of e

quations to find the numbers
Mathematics
1 answer:
worty [1.4K]3 years ago
3 0

Answer:

8 and 6

Step-by-step explanation:

If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.

You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.

The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.

Next, we add 10 to both sides. This gives 8x=64.

From there, we isolate the x by dividing both sides by 8, giving x=8.

To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).

This comes to y=8-2, therefore y=6.

**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!

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The table shows a set of conditional relative frequencies of drivers in a survey planning to buy a used vehicle next, based on h
a_sh-v [17]

Answer:

B.) The majority of drivers who will buy used next time bought their current vehicle used.

EDGE2021

7 0
3 years ago
Points (2,7) ana (5,10).
Mrrafil [7]

Answer:

Below.

Step-by-step explanation:

3x + 5y = 15

Subtract 3x from both sides:

5y = -3x + 15

Divide through by 5:

y = -3/5 x + 3   <-----------slope-intercept form

4 0
3 years ago
For your birthday, you want to take a group of friends to an indoor trampoline
butalik [34]

Answer:

For Skyhigh : 40 friends

For Jump it up : 90 friends

Step-by-step explanation:

Given that :

Maximum spending = $250

SKY HIGH FEES :

Party set up fee = $50 ; Amount paid per person = $2

JUMP IT UP FEES :

Party set up fee = $70 ; Amount paid per person = $2

THEREFORE, the inequality statement to obtain the number of friends for eack trampoline center goes thus:

Party setup fee + Number of persons * fee per person ≤ maximum spending

SKY HIGH:

50 + 5x ≤ 250

5x ≤ 250 - 50

5x ≤ 200

x ≤ 200/5

x ≤ 40

Hence,

Skyhigh can accommodate 90 friends Given the conditions

JUMP IT UP:

70 + 2x ≤ 250

2x ≤ 250 - 70

2x ≤ 180

x ≤ 180/2

x ≤ 90

Jump it up can accommodate up to 90 friends Given the conditions.

4 0
3 years ago
Jorge bought 6 large balloons for a party. This was 25% of all the balloons he bought. How many total balloons did Jorge buy sho
riadik2000 [5.3K]

Answer:

The answer would be 24 balloons in total.

Step-by-step explanation:

Jorge bought 6 large balloons, which was 25% of ALL the balloons he bought.

Meaning that since 6 is 25% of the number 24, he bought 24 balloons in total.

PROOF:

25% * 24 = 6

24 / 6 = 4

6 * 4 = 24

<h2>Mark me Brainliest Please.</h2>
8 0
2 years ago
Find the length of AB if AC = 18 and BC = 7.
navik [9.2K]
I’m going to guess the the line is AC and B is the midpoint, if this is what ur asking this is ur answer
18-7
Answer
AB=11
5 0
3 years ago
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