josie buys a scoop of dried cranberries and a scoop of dried bananas to make trail mix. The dried cranberries weight 8.5 ounces and cost $0.30 per ounce. The dried bananas weigh 10.5 ounces and cost $0.20 per ounce. How much does josie spend on the dried food

Answer:

A

Step-by-step explanation:

Two Squares

There are 2 squares at the top and bottom. All sides = 3

2* s^2

2 * 3^2

2 * 9

18

Middle Figure.

Triangles

There are many ways to solve this. I think the most easily understood is to break it into 2 triangles and a rectangle.

Base of both triangles = 5 + 5 = 10

The height of each triangle = (7 - 3)/2 = 4/2 = 2. You divide by 2 because there are 2 bases -- one in each triangle.

Area = 1/2 * 2 * 10 = 10

But there are 2 of them so the total area is 20

Rectangle

The length of the rectangle = 5 + 5 = 10

The width = 3

Area = 30

Total

Total Area = 2 squares + 2 triangles + 1 rectangle

Total Area = 18 + 20 + 30 = 68

Answer:

0.0150

Step-by-step explanation:

8÷530

0.0150

it is correct

Answer:

[tex]\displaystyle yes[/tex]

Step-by-step explanation:

By the way Angle-Angle-Side Triangle Postulate, this would be enough information as proof of using the Angle Bisectour Theorem.

I am joyous to assist you at any time.

Answer:

360 km

Step-by-step explanation:

Let stream speed = x

Speed of water = 3km/hr

Therefore,

Upstream speed = (x - 3) km/hr

Downstream speed = (x + 3) km/hr

Time taken downstream = 15 hours

Time taken upstream = 20 hours

Recall:

Distance = speed * time

Upstream Distance = downstream distance

20(x - 3) = 15(x + 3)

20x - 60 = 15x + 45

20x - 15x = 45 + 60

5x = 105

x = 105 / 5

x = 21

Upstream speed = (21 - 3) = 18

Distance between the two towns :

18 * 20 = 360 km

Answer:

10/10

Step-by-step explanation:

Answer:

An equation of the circle with centre (-2,1) and radius 3 is [tex]\mathbf{(x+2)^2+(x-1)^2=9}[/tex]

Option D is correct.

Step-by-step explanation:

Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3

The equation of circle is of form: [tex](x-h)^2+(x-k)^2=r^2[/tex] where (h,k) is centre and r is radius.

We have centre C (-2,1) so, we have h = -2 and k = 1

We have radius = 3 so, r = 3

Putting values in the equation and finding the required equation:

[tex](x-h)^2+(x-k)^2=r^2\\(x-(-2))^2+(x-1)^2=(3)^2\\(x+2)^2+(x-1)^2=9[/tex]

So,  an equation of the circle with centre (-2,1) and radius 3 is [tex]\mathbf{(x+2)^2+(x-1)^2=9}[/tex]

Option D is correct.

Answer:

(0, -1)

Step-by-step explanation:

A parallelogram is a quadrilateral (has four sides) in which opposite sides are parallel to each other. Also for a parallelogram, the opposite sides and angles are equal to each other.

Hence for parallelogram RSTU, RS // TU and RU // ST

Let the coordinate of U be (x , y). Two lines are parallel to each other if their slopes are equal, hence:

Slope of RS = (4 - 1) /[3 - (-3)] = 3/6 = 0.5

Slope of ST = (2 - 4) /[6 - 3] = -2/3

Slope of RU = (y - 1) /[x - (-3)] = (y - 1) / (x + 3)

Slope of TU = (y - 2) /[x - 6]

Slope of RU = Slope of ST

(y - 1) / (x + 3) = -2/3

3y - 3 = -2x -6

2x + 3y = -6 + 3

2x + 3y = -3                  (1)

Slope of RS = Slope of TU

0.5 = (y - 2) /[x - 6]

0.5x - 3 = y  - 2

0.5x - y = 1                  (2)

Solving 1 and 2 simultaneously gives:

x = 0, y = -1

Therefore the coordinates of U = (0, -1)

Answer:

a) The probability that the thickness is less than 3.0 mm

P(X<3.0) = 0.057

b) The probability that the thickness is less than 7.0 mm

P(X>7) = 0.0401

c) The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7)= 0.9029

Step-by-step explanation:

Step(i):-

Given mean of the Population (μ)  = 4.9 mm

Standard deviation of the Population(σ) = 1.2 mm

a)

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]

The probability that the thickness is less than 3.0 mm

[tex]P(X<3.0) = P(Z < -1.583) = 1 - P( Z>1.583)[/tex]

                                               =  1 - ( 0.5 + A(1.583)

                                              = 0.5 - A(1.583)

                                             = 0.5 - 0.4430

                                             = 0.057

The probability that the thickness is less than 3.0 mm

P(X<3.0) = 0.057

b)

Let 'X' be the random variable in normal distribution

[tex]Z = \frac{x-mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]

The probability that the thickness is less than 7.0 mm

[tex]P(X>7.0) = P(Z >1.75) = 0.5 - A(1.75)[/tex]

                                          = 0.5 - 0.4599   ( from normal table )

                                          = 0.0401

The probability that the thickness is less than 7.0 mm

P(X>7) = 0.0401

c)

Let 'X' be the random variable in normal distribution

[tex]Z_{1} = \frac{x_{1} -mean}{S.D} = \frac{3.0-4.9}{1.2} = -1.583[/tex]  

[tex]Z_{2} = \frac{x_{2} -mean}{S.D} = \frac{7.0-4.9}{1.2} = 1.75[/tex]

The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7) =  P( - 1.583 < X < 1.75 )

                   =   A(  1.75 ) + A( -1.583)

                  =     A(1.75)+A(1.583)

                 = 0.4599 + 0.4430

                = 0.9029  

The probability that the thickness is between 3.0 mm and 7.0 mm

P( 3 < x <  7)= 0.9029

Step-by-step explanation:

-5/2

-2

-1.75

-1

1/5

1.75

9/4

Mark as brainlist . kindly

Answer:

a = c2 +b2

Step-by-step explanation:

18=10000 + 784

10784 ÷ 18

599.111111 BUT ROUNDED WOULD BE 600.00

Answer:

8/9 in squared

Step-by-step explanation:

because one block is 1/9, and there are 8

Answer: angle q is congruent to angle p

Step-by-step explanation:

congruent means same size shape, ect....

Answer:

18 inches.

Step-by-step explanation:

Let x inches be the altitude of the triangle.

By Pythagoras Theorem,

[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2

108 + x^2 = 432

x^2 = 324

x = 18

So the altitude of the triangle is 18 inches.

Answer:

20 / 4 =5

Step-by-step explanation:

I think

Answer:

17.81, but I would estimate 17.80 so it doesnt look exact.

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

Its 30

Step-by-step explanation:

Answer:

Ratios and Proportions - Proportions - In Depth. A proportion is simply a statement that two ratios are equal. It can be written in two ways: as two equal fractions a/b = c/d; or using a colon, a:b = c:d. The following proportion is read as "twenty is to twenty-five as four is to five."

Step-by-step explanation:

look at the attachment.

Answer:

5 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (4, 2) and (x₂, y₂ ) = (1, - 2)

d = [tex]\sqrt{(1-4)^2+(-2-2)^2}[/tex]

   = [tex]\sqrt{(-3)^2+(-4)^2}[/tex]

   = [tex]\sqrt{9+16}[/tex]

   = [tex]\sqrt{25}[/tex]

   = 5

Answer:

-1.25, -1.5, 0.5, 0.66

hope it helps you

Answer:

5/9-1/9=4/9

Step-by-step explanation:

5/9 chose basketball or soccer. 1/9 chose basketball.

Answer:

10 percent

Step-by-step explanation:

i took a test

Answer:

x= -2

Step-by-step explanation:

Answer:

alabama is 7.85 million

Step-by-step explanation:

Answer:

When x-coordinate x = 2, the value of the y-coordinate is: y = 16

Please also check the graph.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

Given

The point (0, 10)

The slope m = 3

The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

We have given the point (0, 10)

It means:

at x = 0, y = 1 0

Therefore, the y-intercept b = 10

so substituting b = 10 and m = 3 in the slope-intercept form

[tex]y = mx+b[/tex]

[tex]y = 3x+10[/tex]

Therefore, the equation of a line with slope 3 passes through the point (0, 10) will be:

[tex]y = 3x+10[/tex]

Now, substituting x = 2 in the equation

[tex]y = 3x+10[/tex]

y = 3(2) + 10

y = 6+10

y = 16

Therefore, when x-coordinate x = 2, the value of the y-coordinate is: y = 16

Please also check the graph.

Answer:

5 21/30

Step-by-step explanation:

4/30 + 12/30 + 5/30 + 4 + 1