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3 years ago

A box of a dozen fruit tarts costs$15.00. What is the cost of one fruit tart

Mathematics

2 answers:

olga nikolaevna [1]3 years ago

5 0

$1.25 $15.00 divided by 12 (a dozen) is equal to 1.25

hammer [34]3 years ago

4 0

Cost:amount
15/12
$1.25 for a fruit tart

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Equations y1 = x2 − 5x + 8 and y2=10/x intersect at a point. What is the closest value of x when y1 = y2?

Alex17521 [72]

Answer:

C. between 3.5 and 4

Step-by-step explanation:

We are given

$y_1=x^2-5x+8$

$y_2=\frac{10}{x}$

Since, we have to solve for x

so, firstly we will set them equal

$x^2-5x+8=\frac{10}{x}$

we can multiply both sides by x

and we get

$x^3-5x^2+8x=10$

now, we can use graphing calculator

and find intersection point between y1 and y2

so, we can see that

x=3.538 lies between 3.5 and 4

so,

C. between 3.5 and 4

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4 years ago

Students were divided into two groups. Students in one group were ignored when they talked without raising their hands. Students

pantera1 [17]

Answer:

The independent variable in this experiment was the attention students gets from the teacher

Step-by-step explanation:

An independent variables are variables in maths, statistics and experimental sciences that stands alone and isn't affected by the other variables you are trying to measure.

3 0

4 years ago

A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters.Which expression represen

Masteriza [31]

The question is missing the options and the the drawing of the prism. Here is the complete question and the drawing is in the attachment.

A prism is created using 2 regular pentagons as bases. The apothem of each pentagon is 2.8 centimeters.

Which expression represents the volume of the prism, in cubic centimeters?

a) 9x² + 7x

b) 14x² + 7x

c) 16x² + 14x

d) 28x² + 14x

Answer: b) 14x² + 7x

Step-by-step explanation: The formula to calculate the volume of a prism is:

V = Ab*h

Where

Ab is area of the base

h is the height of the prism

The base is a regular pentagon, which means that all the 5 sides of it is the same. The apothem of a pentagon is a line segment from the center of the pentagon to its side. The area is:

Ap = $\frac{Pa}{2}$

where:

P is perimeter

a is apothem

Area of base:

Ab = $\frac{Pa}{2}$

Ab = $\frac{5x.2.8}{2}$

Ab = 7x

h = 2x+1

Volume of the prism:

V = Ab.h

V = 7x.(2x+1)

V = 14x² + 7x

The expression that represents the volume of this prism is V = 14x² + 7x cubic inches.

6 0

3 years ago

Suppose you invest $950 at an annual interest rate of 6.5% compounded continuously. How much will you have in the account after

UNO [17]

Present value, P = 950
interest rate, i = 6.5% continuous
Number of periods, n = 10 years

Future value
$F=Pe^{it}$
$=950e^{.065*10}$
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7 0

3 years ago

Evaluate the following expression for y-8 and 2=3

NNADVOKAT [17]

Hi!

The correct answer to this <span>expression is y=9 if the equation is y-8+2=3 or y=19 if the equation is y-8</span>×2=3.

To get y=9 you need to add 2 to -8 to get -6, then you need to find the number that when subtracted by 6 equals 3 and that number is 9.

To get y=19 you need to multiply -8 by 2 to get -16, then you need to find the number that when subtracted by 16 equals 3 and that number is 19.

If it is neither of these answers then it is y-8 because you are replacing 2 with 3 in the expression.

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3 years ago