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zimovet [89]
3 years ago
6

Natalie has $20 to spend on 5 sandwiches. Can she spend $4.39 on each sandwich? Explain.

Mathematics
2 answers:
snow_tiger [21]3 years ago
7 0
No.

First let's look at how much the sandwiches should cost at a maximum for a total of $20 for 5 sandwiches.

$20/5 = $4 per sandwich. So we can not spend over $4 per sandwich.

If you take the $4.39 and multiple it by the need of 5 sandwiches, you get $21.95. 

20 - 21.95 = -$1.95   -> Meaning you are over the budget by $1.95

OR

If you look at $20/$4.39 = 4.56 sandwiches 

And 4.56 sandwiches < 5 sandwiches.

uranmaximum [27]3 years ago
6 0
No she can't spend $4.39 for each sandwich because if you divide 20 by 5 your quotient will be 4.
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For the line passing through the points (-3,1) and (2,-5)
Ronch [10]

Answer:

y=-6/5x-2.6

Step-by-step explanation:

7 0
3 years ago
You are at a family reunion and the cooler contains ten bottles of soda; four Sprite, three Dr. Pepper, and three Cherry Coke. T
natita [175]

Answer:

Probability of getting Dr. Pepper the fourth time = \frac{1}7

Probability of getting a cherry coke the fifth time = \frac{1}{3}

Combined probability = \frac{1}{21}

Step-by-step explanation:

Formula for probability of an event E can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

It is given that first time a Cherry coke is chosen and it is not replaced.

So, number of cherry coke left = 2

Dr. Pepper is chosen twice and is not replaced, so

Number of Dr. Pepper left = 3 - 2 = 1

Total number of soda left = 10 - 3 = 7

So, probability of getting Dr. Pepper the fourth time = \frac{1}7

Now, total number of soda left = 7 - 1 = 6

Probability of getting a cherry coke the fifth time = \frac{2}{6} = \frac{1}{3}

The combined probability = probability of getting Dr. Pepper the fourth time multiplied with Probability of getting a cherry coke the fifth time

\Rightarrow \dfrac{1}7 \times \dfrac{1}{3} = \dfrac{1}{21}

6 0
3 years ago
Which number line shows the solution set for |p-3|=9?
Mademuasel [1]

Answer:

Option b

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Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function f(x) = |x|  x> 0 for all real numbers.

Then the equation:

|p-3| = 9 has two cases

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-(p-3) = 9    if h < 3 (ii)

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We solve the case (ii)

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Then the solution is:

p = -6 or p = 12

3 0
3 years ago
Graph a line with a slope of -3 that contains the point (4, -2)
Crank

Answer:

Step-by-step explanation:

Given that

Slope m=-3

A point (x, y)=(4,-2)

Equation of a line can generally be written as

y=mx+c

Where, m is the slope

And c is the intercept on y-axis

Since we are given m=-3

Then, y=mx+c becomes

y=-3x+c

To get c, let substitute the point given, i.e x=4 and y=-2

y=-3x+c

-2=-3(4)+c

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5 0
3 years ago
a regular rectangular pyramid has a base and lateral faces that are congruent equilateral triangles. it has a lateral surface ar
Margarita [4]
A pyramid is regular if its base is a regular polygon, that is a polygon with equal sides and angle measures.
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Thus a regular rectangular pyramid is a regular pyramid with a square base, of side length say x.

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now we need to find x. Consider the picture attached, showing one lateral face of the pyramid.

by the Pythagorean theorem: 

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thus, 

Area_{triangle}= \frac{1}{2}\cdot base \cdot height\\\\18= \frac{1}{2}\cdot x \cdot \frac{ \sqrt{3} }{2}x\\\\ \frac{18 \cdot 4}{ \sqrt{3}}=x^2

thus:

x^2 =\frac{18 \cdot 4}{ \sqrt{3}}= \frac{18 \cdot 4 \cdot\  \sqrt{3} }{3}=24 \sqrt{3}       (cm^2)

but x^{2} is exactly the base area, since the base is a square of sidelength = x cm.


So, the total surface area = base area + lateral area =  24 \sqrt{3}+72   cm^2


Answer: 24 \sqrt{3}+72   cm^2

4 0
3 years ago
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