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son4ous [18]
3 years ago
9

Helen spent $7.75 to purchase 23 snacks for a club meeting. Chips are $0.25 and pretzels are $0.50. How many of each snack did H

elen buy?
Mathematics
1 answer:
Veronika [31]3 years ago
8 0
Helen bought 15 chips and 8 pretzels.

Chips and pretzels = 23 snacks
Chips = x
pretzels = 23 - x
chips = $0.25
pretzels = $0.50

$0.25x + $0.50(23-x) = $7.75
$0.25x + $11.50 - $0.50x = $7.75
-$0.25x = $7.75 - $11.50
-$0.25x = -$3.75
-$0.25x/-$0.25 = -$3.75/-$0.25
x = 15  * number of chips.

number of pretzels = 23 - x = 23 - 15 = 8

To check:
$0.25(15) + $0.50(8) = $7.75
$3.75 + $4.00 = $7.75
$7.75 = $7.75
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Answer:

\huge\boxed{\bf\:x = \frac{3}{4}}

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5x - 2(x+1)=\frac{1}{4}

Use the distributive property for 2(x + 1).

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▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

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I NEED HELP WITH THIS PLEASE !!! AND EXPLAINED PLEASE!
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Answer:

Step-by-step explanation:

Find the vertex and intercepts of y = 3x2 + x – 2 and graph; remember to label the vertex and the axis of symmetry.

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y = 3(0)2 + (0) – 2

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Then the y-intercept is the point (0, –2). To find the x-intercept, I set y equal to zero, and solve:

0 = 3x2 + x – 2

0 = (3x – 2)(x + 1)

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Then the x-intercepts are at the points (–1, 0) and ( 2/3, 0).

The axis of symmetry is halfway between the two x-intercepts at (–1, 0) and at ( 2/3 , 0); using this, I can confirm the answer from the previous page:

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The complete answer is a listing of the vertex, the axis of symmetry, and all three intercepts, along with a nice neat graph:

The vertex is at ( –1/6 , –25/12 ), the axis of symmetry is the line x = –1/6 , and the intercepts are at (0, –2), (–1, 0), and ( 2/3, 0).

graph of y = 3x^2 + x - 2 with vertex and intercepts marked.

Find the intercepts, the axis of symmetry, and vertex of y = x2 – x – 12.

To find the y-intercept, I set x equal to 0 and solve:

y = (0)2 – (0) – 12 = 0 – 0 – 12 = –12

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0 = x2 – x – 12

0 = (x – 4)(x + 3)

x = 4 or x = –3

To find the vertex, I look at the coefficients: a = 1 and b = –1. Plugging into the formula, I get:

h = –(–1)/2(1) = 1/2 = 0.5

To find k, I plug h = 1/2 in for x inside y = x2 – x – 12, and simplify:

k = (1/2)2 – (1/2) – 12 = 1/4 – 1/2 – 12 = –12.25

Once I have the vertex, it's easy to write down the axis of symmetry: x = 0.5. Now I'll find some additional plot points, to fill in the graph:

T-chart

For my own convenience, I picked x-values that were centered around the x-coordinate of the vertex. Now I can plot the parabola: Copyright © Elizabeth Stapel 2002-2011 All Rights Reserved

graph of y = x^2 - x - 12

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the axis of symmetry is the line x = 0.5,

and the intercepts are at the points (0, –12), (–3, 0), and (4, 0).

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Answer:

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Given the hypothesis :

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Since the Pvalue gives the probability of obtaining a value or result figure which is atleast as extreme as the observed value. The observed value here is 0.22 resulting from the difference in W and X (W - X).

This can thus be interpreted to mean ; going by the Null (difference between W and X) ; the probability of obtaining a value of atleast 0.22 as difference is 0.03

6 0
2 years ago
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