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vodomira [7]
3 years ago
14

210 balloons are filled for a reception this is 70% of the entire number balloons purchased which equation can be used to find t

he total number of balloons purchased
Mathematics
1 answer:
Yuri [45]3 years ago
3 0

Answer:

300 balloons.

Step-by-step explanation:

Given:

210 balloons are filled for a reception this is 70% of the entire number balloons purchased.

Question asked:

Which equation can be used to find the total number of balloons purchased ?

<u>Solution:</u>

Let total number of balloons purchased = x

70% of the number of balloons purchased  = 210

\frac{70}{100} \times x=210\\ \\ \frac{7x}{10} =210\\ \\ By\ cross\ multiplication\\ \\ 7x=210\times10\\ \\7x=2100\\\\   By\ dividing\ both\ sides\ by\ 7\\ \\ \frac{7x}{7} =\frac{2100}{7} \\ \\ x=300

Therefore, total number balloons purchased was 300.

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Can someone plz help me with this!
asambeis [7]

Answer:

(arranged from top to bottom)

System #3, where x=6

System #1, where x=4

System #7, where x=3

System #5, where x=2

System #2, where x=1

Step-by-step explanation:

System #1: x=4

2x+y=10\\x-3y=-2

To solve, start by isolating your first equation for y.

2x+y=10\\y=-2x+10

Now, plug this value of y into your second equation.

x-3(-2x+10)=-2\\x+6x-30=-2\\7x=28\\x=4

System #2: x=1

x+2y=5\\2x+y=4

Isolate your second equation for y.

2x+y=4\\y=-2x+4

Plug this value of y into your first equation.

x+2(-2x+4)=5\\x+(-4x)+8=5\\x-4x+8=5\\-3x=-3\\x=1

System #3: x=6

5x+y=33\\x=18-4y

Isolate your first equation for y.

5x+y=33\\y=-5x+33

Plug this value of y into your second equation.

x=18-4(-5x+33)\\x=18+20x-132\\-19x=-114\\x=6

System #4: all real numbers (not included in your diagram)

y=13-2x\\8x+4y=52

Plug your value of y into your second equation.

8x+4(13-2x)=52\\8x+52-8x=52\\0=0

<em>all real numbers are solutions</em>

System #5: x=2

x+3y=5\\6x-y=11

Isolate your second equation for y.

6x-y=11\\-y=-6x+11\\y=6x-11

Plug in your value of y to your first equation.

x+3(6x-11)=5\\x+18x-33=5\\19x=38\\x=2

System #6: no solution (not included in your diagram)

2x+y=10\\-6x-3y=-2

Isolate your first equation for y.

2x+y=10\\y=-2x+10

Plug your value of y into your second equation.

-6x-3(-2x+10)=-2\\-6x+6x-30=-2\\-30=-2

<em>no solution</em>

System #7: x=3

y=10+x\\2x+3y=45

Plug your value of y into your second equation.

2x+3(10+x)=45\\2x+30+3x=45\\5x=15\\x=3

3 0
3 years ago
Step 1: 12x – 15 – 12x = 7x + 20
stealth61 [152]

Step-by-step explanation:

step 1. 12x - 15 - 12x = 7x + 20

step 2. 12x - 12x - 15 = 7x + 20 (grouping of terms)

step 3. -15 = 7x + 20 (adding like terms)

step 4. -35 = 7x (subtract 20 from both sides)

step 5. this step is incorrect.

step 6. -5 = x ( divide both sides by 7)

step 7. x = -5 (put the variable first).

5 0
3 years ago
A right triangle has a leg of 11 cm and a hypotenuse of 17 cm.
Vedmedyk [2.9K]
The answer would be the second option, 13.0 cm.

To find the missing length of the leg, you would use the pythagorean theorem and substitute your inputs in.

a^2+b^2=c^2
11^2+b^2=17^2
121+b^2=289
b^2=168
b=12.96 
b=13.0 cm (rounded up)
4 0
3 years ago
Read 2 more answers
1.
9966 [12]

Answer: 30

Step-by-step explanation: square 24 and 18 (576 & 324) then add them together (900), then the square root of 900 is 30, so 30.

8 0
2 years ago
Read 2 more answers
What is the value of (6-2) with the exponet 3? write your anewer as a whole number.
frozen [14]
64 6-2=4 then 4 times 4= 16 times 4 equals 64
4 0
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