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PilotLPTM [1.2K]
1 year ago
12

a teacher needs 70 lengths of string cut to 40 cm each. If balls of string are 10 m long how many balls will be needed

Mathematics
1 answer:
LenKa [72]1 year ago
7 0
A meter is 100 cm. A ball of string has 10m of string, and you multiply 10m by 100cm, you get 1,000cm. Then you multiply 40cm by 2, and you get 80cm, or two lengths of string. Then you multiply 35, which is half of 70, by 80, and that is 2,800 cm.
2,800
÷40cm=70
And 100cm=1m.
The teacher will therefore need 28 balls of string.
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the garza family drives to a state park. the remaining distance, in miles, to reach the state park is 285−60x , where x represen
alukav5142 [94]
285 - 60x ; where x represents the number of driving hours.

285 ⇒ <span>The total distance to the state park.
60x </span>⇒<span> </span><span>The number of miles driven after x hours.
60 </span>⇒<span> </span><span>The number of miles driven after 1 hour.

y = 285 - 6x
y </span>⇒<span> </span><span>The number of miles left to drive each day.</span>
5 0
2 years ago
Read 2 more answers
Use the binomial theorem to show that 7^n + 2 is divisible by 3, where n is a positive integer.
masha68 [24]

By the binomial theorem,

7^n=(6+1)^n=6^n+n6^{n-1}+\dbinom n26^{n-2}+\cdots+\dbinom n{n-2}6^2+n6^1+1

Each term containing a factor 6 is divisible by 3, since 3 divides 6. The remaining 1 and 2 sum to 3, which is also divisible by 3.

7 0
1 year ago
Write an equation to find the amount of money in Pertro’s account if the total of all their accounts is $148.
SSSSS [86.1K]

Answer:

P = 2(21 + 3)

= 2(24)

=$48

Step-by-step explanation:

Add them all up.

s + 2(s+3) + 4s-5 = 148

s + 2s + 6 + 4s - 5 = 148

Group all s together and all numbers together 7s + 1 = 148

7s = 147

Divide by 7

s = 21

Plug s=21 back in for Petro

6 0
2 years ago
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Alexa borrowed some money from her friend in order to help buy a new video game system. Alexa agreed to pay back her friend $10
Ulleksa [173]

Answer:

L(t) = 170 - 10t

Step-by-step explanation:

The amount that Alexa owes after t weeks is given by a linear equation in the following format:

L(t) = L(0) - bt

In which L(0) is the initial amount borrowed and b is how much is paid per week.

Alexa agreed to pay back her friend $10 per week and originally borrowed $170.

This means that, respectivelly, b = 10, L(0) = 170. So

L(t) = L(0) - bt

L(t) = 170 - 10t

7 0
1 year ago
Jeff lives 12 miles east of Stan. Jeff lives 16 miles north of Wei. What is the shortest distance that Stan and Wei can live fro
Greeley [361]
|  \
|     \ 
| 16  \
|         \
|______\
 12

Envision this as a right triangle, with one leg of 12 miles, and the other 16 miles. Solve using the Pythagorean Theorem a²+b²=c²:

12²+16²=c²
400 = c²
20=c...they live at least 20 miles from each other.

7 0
2 years ago
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