1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Black_prince [1.1K]
3 years ago
11

Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has

the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.
Mathematics
1 answer:
stepan [7]3 years ago
8 0

Answer:

six[6] snack packs.

Step-by-step explanation:

Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.

In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the  Greatest Common Factor.

STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.

The  factors of 18 = 1, 2, 3, 6, 9 and 18.

The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.

The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18,  and 36.

STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.

For the three lists, the greatest factor common to them is 6.

Therefore, The greatest number of snack packs Jane can make is six[6] snack packs

You might be interested in
The large sphere has a diameter of 12 feet. What is the volume of the shaded figure? Express the answer in terms of π.
Igoryamba

Answer: A 252 ft3

Step-by-step explanation:

answer is A

7 0
2 years ago
Read 2 more answers
Alternate interior angels are____
Yuki888 [10]
Congruent. In other words, the angle on the inside- if that makes sense
3 0
3 years ago
On your pattern, what would y be when x = 132
nekit [7.7K]

Answer:

D

Step-by-step explanation:

The expression is  (9-7*3+4)^2

We can follow the rule of "PEMDAS" here.

PEMDAS = Parenthesis, Exponents, Multiply, Divide, Add, Subtract

So, we first need to deal with Parenthesis. Next,

There aren't any exponents, so we deal with Multiplication of 7 and 3.

Then addition/subtraction.

Hence, the first step, from the answer choices, would be D, multiply 7 and 3

7 0
3 years ago
Find sin(a)&cos(B), tan(a)&cot(B), and sec(a)&csc(B).​
Reil [10]

Answer:

Part A) sin(\alpha)=\frac{4}{7},\ cos(\beta)=\frac{4}{7}

Part B) tan(\alpha)=\frac{4}{\sqrt{33}},\ tan(\beta)=\frac{4}{\sqrt{33}}

Part C) sec(\alpha)=\frac{7}{\sqrt{33}},\ csc(\beta)=\frac{7}{\sqrt{33}}

Step-by-step explanation:

Part A) Find sin(\alpha)\ and\ cos(\beta)

we know that

If two angles are complementary, then the value of sine of one angle is equal to the cosine of the other angle

In this problem

\alpha+\beta=90^o ---> by complementary angles

so

sin(\alpha)=cos(\beta)

Find the value of sin(\alpha) in the right triangle of the figure

sin(\alpha)=\frac{8}{14} ---> opposite side divided by the hypotenuse

simplify

sin(\alpha)=\frac{4}{7}

therefore

sin(\alpha)=\frac{4}{7}

cos(\beta)=\frac{4}{7}

Part B) Find tan(\alpha)\ and\ cot(\beta)

we know that

If two angles are complementary, then the value of tangent of one angle is equal to the cotangent of the other angle

In this problem

\alpha+\beta=90^o ---> by complementary angles

so

tan(\alpha)=cot(\beta)

<em>Find the value of the length side adjacent to the angle alpha</em>

Applying the Pythagorean Theorem

Let

x ----> length side adjacent to angle alpha

14^2=x^2+8^2\\x^2=14^2-8^2\\x^2=132

x=\sqrt{132}\ units

simplify

x=2\sqrt{33}\ units

Find the value of tan(\alpha) in the right triangle of the figure

tan(\alpha)=\frac{8}{2\sqrt{33}} ---> opposite side divided by the adjacent side angle alpha

simplify

tan(\alpha)=\frac{4}{\sqrt{33}}

therefore

tan(\alpha)=\frac{4}{\sqrt{33}}

tan(\beta)=\frac{4}{\sqrt{33}}

Part C) Find sec(\alpha)\ and\ csc(\beta)

we know that

If two angles are complementary, then the value of secant of one angle is equal to the cosecant of the other angle

In this problem

\alpha+\beta=90^o ---> by complementary angles

so

sec(\alpha)=csc(\beta)

Find the value of sec(\alpha) in the right triangle of the figure

sec(\alpha)=\frac{1}{cos(\alpha)}

Find the value of cos(\alpha)

cos(\alpha)=\frac{2\sqrt{33}}{14} ---> adjacent side divided by the hypotenuse

simplify

cos(\alpha)=\frac{\sqrt{33}}{7}

therefore

sec(\alpha)=\frac{7}{\sqrt{33}}

csc(\beta)=\frac{7}{\sqrt{33}}

6 0
3 years ago
Pls fast,i need it<br> ..............................
Ghella [55]

Answer:

hints to solve each. partial answer due to lack of time, hope it helps!

Step-by-step explanation:

1)

a) solve ():

5 \sqrt{3} + 7 \sqrt{3} - 9 \sqrt{3} - 6 \sqrt{3} + 12 \sqrt{3} - 10 \sqrt{3} =

\sqrt{3} . (5 +7-9-6+12-10)

b) use \sqrt{6\\} = \sqrt{3\\}\\\\\sqrt{2\\}\\\\

c) use \sqrt{20\\} = \sqrt{4\\}\\\\\sqrt{5\\}\\\\ = 2\sqrt{5\\}\\\\

use \sqrt{8\\} = \sqrt{4\\}\\\\\sqrt{2\\}\\\\ = 2\sqrt{2\\}\\\\

2)

a) use \sqrt{30\\} = \sqrt{6}\sqrt{5}

use \sqrt{30\\} = \sqrt{6}\sqrt{4} = 2\sqrt{6}

6 0
2 years ago
Other questions:
  • Determine the equation of the graph, and select the correct answer below.
    11·1 answer
  • M &lt;ABE=(7x+28)°And m &lt;DBC=(9x-2)°. Find the measure of &lt;ABE
    14·1 answer
  • Lucy wants to plant 16 roses, 24 sunflowers, and 32 lilies in her garden. She wants to plant only one type of flower in each row
    9·2 answers
  • Solve 2^16x=16^2x for x
    14·1 answer
  • What is the scale factor from 5cm to 15m
    8·1 answer
  • What is y? <br><br> Enter your answer in the box
    5·1 answer
  • Which of the following subsets of vectors x y z are subspaces of R 3 ?
    15·1 answer
  • What is the product of 10³ x 4.132?
    10·2 answers
  • PLEASE HELP! will mark brainliest!!
    13·1 answer
  • The two bases of a right conical frustum have radii 12 and 9. The two bases are 4 units apart. Let the volume of the frustum be
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!