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insens350 [35]
3 years ago
12

Penny used 2/5lb. Of flour to bake a vanilla cake. She used another 3/4lb. Of flour to bake a chocolate cake a. How much flour d

id she use for both cakes? B. If she started with a 5lb. Bag, How much flour does she have left?
Mathematics
1 answer:
Finger [1]3 years ago
8 0

Answer:

A. How much flour did she use for both cakes?

1 3/20 lb flour

B. If she started with a 5lb. Bag, How much flour does she have left?

3 17/20 lb

Step-by-step explanation:

Penny used 2/5lb. Of flour to bake a vanilla cake. She used another 3/4lb. Of flour to bake a chocolate cake

A. How much flour did she use for both cakes?

We solve the above question by adding up the pound of flour used for both cakes.

2/5lb Of flour + 3/4lb Of flour

Lowest common denominator = 20

= 8 + 15/20

= 23/20

= 1 3/20 lb flour

B. If she started with a 5lb. Bag, How much flour does she have left?

This is calculated as:

5 lb - 1 3/20 lb

= 3 17/20 lb

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alina1380 [7]
Answer: 3 - 7x/5

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The manager of hockey team says that the probability that team win the next match is 0.5 and the probability it will lose is 0.2
dybincka [34]

Answer:

Step-by-step explanation:

The team draws with a probability of 1 = (0.5 + 0.2) = 0.3

If the team does not win then it loses or draws.

Loosing = 0.2

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P(not win) = 0.2 + 0.3 = 0.5

======================

Not lose means wins or draws.

P(not lose) = 0.5 + 0.3 = 0.8

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Not Draw means wins or loses

P(not draw) = 0.5 + 0.2 = 0.7

Of course all of these could be done more directly.

P(not win)= (1 - win) = 1- 0.5 = 0.5

P(not lose) =  ( 1 - lose) = 1 - 0.2 = 0.8

P(not draw) = (1 - 0.3) = 0.7

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3 years ago
Problem Number 6 Someone Help Me ??
seraphim [82]
It's a, because an exponent means it's multiplied by itself that many times. so 3 times 3 is 9 then times 3 again is 27. but negative exponents are always fractions and since the normal number is positive it's D (sorry at first I didn't see d and c)
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3 years ago
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X-y=5 and x^2y=5x+6​
sergeinik [125]

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

<h3>How to solve a system of equations</h3>

In this question we have a system formed by a <em>linear</em> equation and a <em>non-linear</em> equation, both with no <em>trascendent</em> elements and whose solution can be found easily by algebraic handling:

x - y = 5      (1)

x² · y = 5 · x + 6       (2)

By (1):

y = x + 5

By substituting on (2):

x² · (x + 5) = 5 · x + 6

x³ + 5 · x² - 5 · x - 6 = 0

(x + 5.693) · (x - 1.430) · (x + 0.737) = 0

There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737

And the y-values are found by evaluating on (1):

y = x + 5

x₁ ≈ 5.693

y₁ ≈ 10.693

x₂ ≈ 1.430

y₂ ≈ 6.430

x₃ ≈ - 0.737

y₃ ≈ 4.263

By applying algebraic handling on the two equations, we find the following three <em>solution</em> pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.

To learn more on nonlinear equations: brainly.com/question/20242917

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8 0
2 years ago
The figure is not drawn to scale.
Goryan [66]

Answer:

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Step-by-step explanation:

∠1 and ∠4 are supplementary angles:

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m∠2 = m∠4 = 87°

∠3 and ∠4 are supplementary angles:

m∠3 + m∠4 = 180°; m∠3 = 93°

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