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olga_2 [115]
2 years ago
11

jenny picked a large basket of apples. she gave 1/4 to jerome and then gave 1/3 of the remaining apples

Mathematics
1 answer:
ioda2 years ago
6 0

Based on the information provided, the total number of apples Jenny picked is 60.

<h3>How to find out the total number of apple Jenny picked?</h3>

To find out the number of apples she picked, let's start with the information provided:

  • Apples left for Jenny: 30 or 2/3 (3/3 - 1/3 given to Lennisha)

Based on this, let's calculate the apples Jenny had when she gave 1/3 to Lennisha:

  • 30 = 2/3
  • x   = 3/3
  • 30 x 3/3  / 2/3
  • 45 apples

  • The 45 apples represent 3/4 of the total apples (she gave 1/4 to Jerome). Now, let's find out the total apples:
  • 45 = 3/4
  • x  = 4/4
  • 45 x 4/4 / 3/4
  • 60 apples

Note: This question is incomplete; here is the complete question:

Jenny picked up a large basket of apples. She gave 1/4 to Jerome and then gave 1/3 of the remaining apples to Lennisha the next Day. Jenny had 30 Apples left. How many apples did Jenny pick?

Learn more about apples in: brainly.com/question/21382950

#SPJ1

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Which statements about finding the area of the equilateral triangle are true? Check all that apply.
lara31 [8.8K]

Answer:

The correct options are 1, 2 and 4.

Step-by-step explanation:

The given triangle is an equilateral triangle. All the sides of an equilateral triangle are same. All interior angles are equal with measure 60 degree.

The distance from the center of an equilateral triangle to the midpoint of a side is known as apothem. In the given figure letter a represents the apothem.

Point D is the midpoint of BC,

b=\frac{BC}{2}=\frac{8.7}{2}=4.35

Use Pythagorean theorem in triangle COD. So, option 1 is correct.

OC^2=OD^2+DC^2

5^2=a^2+(4.35)^2

25=a^2+18.9225

a=\pm 2.46526

a\approx\pm 2.5

The distance can not be negative, so the length of the apothem is approximately 2.5 cm. Option 4 is correct.

The line OC bisects the angle C.

tan(30^{\circ})=\frac{a}{b}

\frac{1}{\sqrt{3}=\frac{a}{4.35}

a\approx\pm 2.5

Therefore option 2 is correct.

The perimeter of an equality triangle is

P=3a=3(8.7)=26.1

Option 3 is incorrect.

A=\frac{\sqrt{3}}{4}a^2=\frac{\sqrt{3}}{4}(8.7)^2=32.77

Option 5 is incorrect.

Therefore options 1, 2 and 4 are correct.

3 0
3 years ago
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How to solve for 3x - 24 = 81
VladimirAG [237]

Answer:

35

Step-by-step explanation:

3x=81+24

3x=105

x=35

6 0
3 years ago
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Is 7/10 more than 1/2
Bingel [31]
7/10 is bigger because it is more than half
5 0
3 years ago
the 11th term in a geometric sequence is 48 and the common ratio is 4. the 12th term is 192 and the 10th term is what?
Soloha48 [4]

<u>Given</u>:

The 11th term in a geometric sequence is 48.

The 12th term in the sequence is 192.

The common ratio is 4.

We need to determine the 10th term of the sequence.

<u>General term:</u>

The general term of the geometric sequence is given by

a_n=a(r)^{n-1}

where a is the first term and r is the common ratio.

The 11th term is given is

a_{11}=a(4)^{11-1}

48=a(4)^{10} ------- (1)

The 12th term is given by

192=a(4)^{11} ------- (2)

<u>Value of a:</u>

The value of a can be determined by solving any one of the two equations.

Hence, let us solve the equation (1) to determine the value of a.

Thus, we have;

48=a(1048576)

Dividing both sides by 1048576, we get;

\frac{3}{65536}=a

Thus, the value of a is \frac{3}{65536}

<u>Value of the 10th term:</u>

The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term a_n=a(r)^{n-1}, we get;

a_{10}=\frac{3}{65536}(4)^{10-1}

a_{10}=\frac{3}{65536}(4)^{9}

a_{10}=\frac{3}{65536}(262144)

a_{10}=\frac{786432}{65536}

a_{10}=12

Thus, the 10th term of the sequence is 12.

8 0
3 years ago
What are the possible steps involved in solving the equation shown? Select three options. 3.5 + 1.2(6.3 – 7x) = 9.38 Add 3.5 and
motikmotik

Answer:

1) Distribute 1.2 to 6.3 and -7x

2)Combine 3.5 and 7.56

3)Subtract 11.06 from both sides

Step-by-step explanation:

3.5 + 1.2(6.3 - 7x) = 9.38

Distribute 1.2 to 6.3 and -7x

3.5 + 1.2* 6.3 - 1.2 * 7x = 9.38

        3.5 + 7.56 - 8.4x = 9.38

Combine 3.5 and 7.56

11.06 - 8.4x = 9.38

Subtract 11.06 from both sides

11.06 - 8.4x -11.06 = 9.38 - 11.06

                    -8.4x = -1.68

To find solution:

Divide both sides by (-8.4)

-8.4x/-8.4 = -1.68/-8.4

 x = 0.02

8 0
3 years ago
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