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oee [108]
3 years ago
9

a recipe uses 3 cups of flour and 2 cups of sugar. imagine the recipe is doubled and that 4 cups of sugar are used. use the unit

rate in part A (1.5) to find how much flour is needed if the recipe is made with 4 cups of sugar
Mathematics
2 answers:
Kazeer [188]3 years ago
6 0

Answer:

6 cups of flour

Step-by-step explanation:

A recipe uses 3 cups of flour and 2 cups of sugar.

The ratio of flour to sugar is 3:2

For every 2 cups of sugar uses 3 cups of flour.

Now we find how much cups of flour uses for unit cup of sugar.

For 1 cup of sugar uses \dfrac{3}{2} cups of flour.

We need to calculate number of cups of flour used with 4 cups of sugar.

As we know,

Unit cup of sugar = \dfrac{3}{2} cups of flour

4 cups of sugar = 4\times \dfrac{3}{2} cups of flour

                           = 6 cups of flour

Hence, 6 cups of flour is needed to make a recipe with 4 cups of sugar.

sashaice [31]3 years ago
3 0
6 cups of flour because if u multiply the sugar by 2 you have to do that to the flour.
so 3*2 is 6

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In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts. Find the probability t
torisob [31]

Answer:

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

Step-by-step explanation:

For each theft, there are only two possible outcomes. Either the need to buy drugs is the reason of the theft, or it is not. Each theft is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

In a certain city district the need for money to buy drugs is stated as the reason for 70% of all thefts.

This means that p = 0.7

Find the probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

This is P(X = 3) when n = 7. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{7,3}.(0.7)^{3}.(0.3)^{4} = 0.0972

9.72% probability that among the next 7 theft cases reported in this district, exactly 3 of them resulted from the need to buy drugs.

5 0
3 years ago
What is the missing reason in Step 7? Triangle angle sum theorem quadrilateral angle sum theorem definition of complementary con
Daniel [21]

Answer:

Hello your question is incomplete attached below is the complete question

Given: wxyz is a parallelogram, zx ≅ wy prove: wxyz is a rectangle what is the missing reason in step 7? a. triangle angle sum theorem. b. quadrilateral angle sum theorem. c. definition of complementary. d. consecutive ∠s in a ▱ are supplementary. 1. wxyz is a ▱; zx ≅ wy 1. given 2. zy ≅ wx 2. opp. sides of ▱ are ≅ 3. yx ≅ yx 3. reflexive 4. △zyx ≅ △wxy 4. sss ≅ thm. 5. ∠zyx ≅ ∠wxy 5. cpctc 6. m∠zyx ≅ m∠wxy 6. def. of ≅ 7. m∠zyx + m∠wxy = 180° 7. ? 8. m∠zyx + m∠zyx = 180° 8. substitution 9. 2(m∠zyx) = 180° 9. simplification 10. m∠zyx = 90° 10. div. prop. of equality 11. wxyz is a rectangle 11. rectangle ∠ thm.

answer: consecutive angles of any parallelogram are supplementary

Step-by-step explanation:

The missing reason in step 7 is : consecutive angles of any parallelogram are supplementary i.e. m∠ZYX + m∠WXY  = 180°

<u>Reason </u>:  ZY || WX also  XY is the transversal line hence ∠wyx and ∠wxy are the consecutive angles on lines ZY and WX therefore m∠ZYX + m∠WXY = 180°  ( sum of consecutive angles )

4 0
3 years ago
Read 2 more answers
Is it (sss) (side side side ) Hypotenuse-Leg (HL), ssa?(sas) aaa,asa,aas?
Reil [10]
  • Here, both the triangles have equal sides.
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<u>Answer</u><u>:</u>

<u>SSS,</u><u> </u><u>congruent.</u>

Hope you could get an idea from here.

Doubt clarification - use comment section.

4 0
2 years ago
Need help ASAP , midterm<br> - 60 points
malfutka [58]
Your answer is going to be 5.2
5 0
3 years ago
What is 4/ 3/5 plz help now I need it
arsen [322]

Answer: 20/3

Step-by-step explanation:

4/1  ÷  3/5

4/1 ÷5/3

= 2-/3

8 0
3 years ago
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