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STALIN [3.7K]
2 years ago
5

Ben made a trail mix for his camping trip that contained 8 ounces of peanuts, 6 ounces of raisins, and 10 chocolate candies. He

wants to make a large batch for his next camping trip with 28 oz of peanut how many ounces of raisins will he need
Mathematics
1 answer:
Over [174]2 years ago
7 0

Answer:

21 ounces of raisins

Step-by-step explanation:

in his original batch there are 8 peanuts and 6 raisins. Meaning that raisins there are 6/8 the amount of peanuts, 6/8 =3/4 =0.75

0.75x28=21

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Given: mKP=2mIP, mIVK =120°<br> Find: m∠KJL.
anzhelika [568]

Answer:

<h2>The measure of angle KJL is 40°.</h2>

Step-by-step explanation:

Givens

m(KP)=2m(IP)

m(IVK)=120\°

Notice that

m(KP)+m(IP)+m(IVK)=360\°, by definition sum of arcs.

Replacing given values, we have

2m(IP)+m(IP)+120\°=360\°\\3m(IP)=360\° - 120\°\\m(IP)=\frac{240\°}{3}\\ m(IP)=80\°

Which means m(KP)=2(80\°)=160\°

Notice that arc KP is the subtended arc by angle KJL.

We know that the angle formed by a tangen and a secant is equal to one-half of the difference of the intercepted arcs.

m\angle KJL = \frac{1}{2} (m(KP)-m(IP))\\m \angle KJL = \frac{1}{2}(160\° - 80\° )=\frac{1}{2}(80\°)=40\°

Therefore, the measure of angle KJL is 40°.

8 0
2 years ago
Find a122 of the sequence 5, 8, 11
ruslelena [56]
5, 8, 11, ... is an arithmetic sequence where:

a_1=5;\ a_2=8;\ d=8-5=3\\\\a_n=a_1+(n-1)d\to a_n=5+(n-1)\cdot3=5+3n-3=2+3n\\\\therefore\\\\a_{122}=2+3\cdot122=2+366=368
8 0
2 years ago
A rectangular board is 1.8 meters long and 1.25 meters wide. What is the area of the board in square millimeters? Do not round y
lilavasa [31]

Answer:

2250000 mm^2 or 2.25 m^2

Step-by-step explanation:

Area=1.8*1.25=2.25 m^2=2250000 mm^2

7 0
1 year ago
Twenty-five more than 3 times the quantity of a number decreased by 9 is 43 find the number
VashaNatasha [74]


9

equation- 25+ 3x - 9= 43


3 0
2 years ago
A bug was running along a number line at a speed of 11 units per minute. It never changed its direction. If at 7:15 pm it was at
Minchanka [31]

Answer:

155 Units

Step-by-step explanation:

Rate of Bug (given) = 11 units PER MINUTE

It never changed direction, so it was going in positive direction (assume).

In 7:15 pm (evening), it was at Point 100,

We want the point at which it was at 7:20 pm.

7:20pm - 7:15pm = 5 minutes

So, time passed 5 minutes. It's rate is 11 units PER MINUTE, so in 5 mins:

11 * 5 = 55 units

<em>Assuming he is going in positive direction</em>, the bug will be at:

100 + 55 = <u>155 Units</u>

8 0
2 years ago
Read 2 more answers
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