The number of books on Diana's
bookshelf by male and female authors is
shown in the table below. Some of the
numbers are missing.
How many of the non-fiction books were
written by female authors?
Fiction
Non-fiction
Total
Male
36
68
Female
Total
77
142

Answer: the second choice

Step-by-step explanation:

Answer:

the second part is 0.9, and 9.1

Step-by-step explanation:

thank me later

Step-by-step explanation:

1/4 of 60

of will become multiplication sign

=1/4 ✖️ 60

= 60/4

=15

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(3,7) and (9,9)

The distance between them is

We have the final answer as

Hope this helps you

Answer:

The first one

Step-by-step explanation:

She cant buy anything over $15, but she can buy something thats $15 :))

Answer:

x = 27.19

Step-by-step explanation:

Sin(54) =22/x

0.81=22/x

x0.81= 22

x = 27.19

Answer : 8*d -4. and. 8*d -4 + 4

Answer:

4(2d-1) and 2(4d-2)

Step-by-step explanation:

Answer:

bro theres nothing there

Step-by-step explanation:

In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120  then the number of unread emails in her inbox is 96mails.

The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)

The total mails in her box is 120

The we can represent the unread mails  as 4x and read mails be 1x

This can be expressed as :

(4x+1x)=120mails

5x=120mails

x=120/5

x=24

This implies that the uread mails(4×24)

=96mails

Then the number of the read mail =(1×24)=24mails

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Answer: 251=m-119

Step-by-step explanation:

251=m-119 There is nothing to explain.

Answer:

- addition

- division

- multiplication

Answer:

addition 12+8t

multiplication 8*t

division 12+8t/25

Step-by-step explanation:

And the variable is t

Answer:

(1,-3) and (-1,-3)

Step-by-step explanation:

Since both y-values are less than 0, they will be lower than the x-axis. This works for all points.

The ending inventory of 50 packs of felt pens at $4.00 each and 60 packs of felt pens at $3.80 each with 50 packs on hand at the end of the period in dollars is $196.50.

To solve this problem, we first need to find the total cost of the pens purchased:

For the 100 packs of felt pens at $4.00 each:

Total cost = 100 packs x $4.00/pack = $400.00

For the 60 packs of felt pens at $3.80 each:

Total cost = 60 packs x $3.80/pack = $228.00

Next, we need to find the total number of pens purchased:

Number of pens in 100 packs = 100 packs x 3 pens/pack = 300 pens

Number of pens in 60 packs = 60 packs x 3 pens/pack = 180 pens

Total number of pens purchased = 300 pens + 180 pens = 480 pens

Finally, we can find the cost per pen:

Total cost of pens = $400.00 + $228.00 = $628.00

Cost per pen = Total cost of pens / Total number of pens purchased

Cost per pen = $628.00 / 480 pens = $1.31 per pen

To find the ending inventory of 50 packs of felt pens, we need to multiply the number of pens in 50 packs by the cost per pen:

Number of pens in 50 packs = 50 packs x 3 pens/pack = 150 pens

Ending inventory = Number of pens in 50 packs x Cost per pen

Ending inventory = 150 pens x $1.31 per pen = $196.50

Therefore, the ending inventory of 50 packs of felt pens at $4.00 each and 60 packs of felt pens at $3.80 each with 50 packs on hand at the end of the period in dollars is $196.50..

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The length of side AB in right angled triangle ABC  will be 48 cm.

Every triangle with one 90° angle is said to have a right angle. The triangle with a right angle is known as a right triangle because a right angle is 90 degrees.The longest side of a right angle is known as the hypotenuse, and it is opposite the right angle.

Given,

∠B= 90°, AC = 96 cm, ∠C = 30°

Now, we know, Trignometric ratio sin θ in triangle can be given by-:

sin θ = \(\frac{perpendicular}{hypotenuse}\)

From given figure,

Perpendicular= AB= ?

and Hypotenuse= AC = 96

and θ= 30°

Hence,

sin 30° =\(\frac{perpendicular}{hypotenuse}\)= \(\frac{AB}{96}\)

\(\frac{1}{2} = \frac{AB}{96}\)                                      (∵ sin 30°= 1/2)

\(AB=\frac{96}{2}\)

\(AB= 48 cm\)

Thus, AB= 48 cm

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Correct Question:ABC is a right angled triangle. if B = 90°, AC = 96 cm, C = 30°. Find AB = ?

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

The value of x in the quadrilateral is 70 degrees

To find the value of the fourth interior angle, we can use the fact that the sum of all four interior angles is equal to 360 degrees. We can set up an equation:

85 + 150 + 55 + x = 360

where x is the fourth interior angle we want to find. To solve for x, we can first simplify the left side of the equation by adding the known angles:

290 + x = 360

Then, we can isolate x by subtracting 290 from both sides:

x = 360 - 290

x = 70

Therefore, the value of x when the interior angles of the quadrilateral are 85, 150, and 55 degrees is 70 degrees. This means that the four interior angles of the quadrilateral are 85, 150, 55, and 70 degrees, and their sum is indeed equal to 360 degrees.

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GH is parallel to KJ and GJ is parallel to HK, we have shown that both pairs of opposite sides are parallel. Therefore, GHJK is a parallelogram.

What is the parallelogram?

A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length, and the opposite angles are equal in measure.

To prove that GHJK is a parallelogram, we need to show that both pairs of opposite sides are parallel.

From the given information, we know that GK is parallel to HJ (since they are both parallel to LG), so we can start by using this fact to show that GH is parallel to KJ:

∠GKL and ∠HJK are alternate interior angles formed by the transversal GK across the parallel lines LG and HJ.

Therefore, ∠GKL ≅ ∠HJK.

Similarly, we can use the fact that LG is parallel to GK to show that GJ is parallel to HK:

∠ZGL and ∠KHG are alternate interior angles formed by the transversal HG across the parallel lines LG and GK.

Therefore, ∠ZGL ≅ ∠KHG.

Hence, GH is parallel to KJ and GJ is parallel to HK, we have shown that both pairs of opposite sides are parallel. Therefore, GHJK is a parallelogram.

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Answer:

Part 1: y=2x-12

Part 2: 12=2x-y

Step-by-step explanation:

Given Information:

m (slope) = 2

There is a point: (5, -2)

PART 1

Solution: Use the formula:  \(y=m(x-x_{1} )+y_{1}\)

y=2(x-(5))+(-2)

y=2x-10-2

y=2x-12

PART 2

y=2x-12         (from part 1)

0=2x-y-12      

12=2x-y

SOLUTION

Given the equation in the image, the following are the solution steps to solve for x

STEP 1: Write the given equation

STEP 2: Solve for x

Hence, the value of x is 1/2 or 0.5 and the steps are shown above.

The perimeter of the rhombus in this problem is given as follows:

19.8 units.

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

The diagonal length can be obtained as follows:

RU + UT = 7.

Applying the Pythagorean Theorem, the side length is obtained as follows:

x² + x² = 7²

2x² = 49

\(x = \sqrt{\frac{49}{2}}\)

x = 4.95.

Then the perimeter is given as follows:

P = 4 x 4.95

P = 19.8 units.

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The number that can complete the equation 5y + 2(3y − 1) = ⬜y − (y + 2) is

5y + 2(3y − 1) = 12 y − (y + 2)

The number that can complete the equation is computed by simplifying the equation at the left hand side of the equality sign and comparing with the right side of the equality side

The comparison will show the number that can fit in the blank

Simplifying the equation at the left hand side of the equation

= 5y + 2(3y − 1)

= 5y + 6y − 2

= 11y - 2

Simplifying the equation at the right hand side of the equation

=  ⬜y − (y + 2)

let x represent the missing number

=  xy − (y + 2)

=  xy − y - 2

comparing both equations

11y - 2 =  xy − y - 2

11y =  xy − y

11y + y =  xy

12y = xy

x = 12

The missing value = 12

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Looking at the graph, we can see that there is a point on the graph that lies on the vertical line x = 4 and has a corresponding y-value of 3. This point is the point (4, 3). So, the value of f(4) is 3.

In mathematics, a function is a relation between two sets of objects in which each element of the first set (called the domain) is associated with exactly one element of the second set (called the range).

To find f(4) from the given graph, we need to locate the point on the graph that corresponds to x = 4 and read off the corresponding value of y.

The graph shows that there is a point (4, 3) on the graph of the function y = f(x). This means that when x = 4, the value of y (or f(x)) is 3. Therefore, f(4) = 3.

In general, to evaluate a function at a given point, we need to substitute that point's value for the independent variable (in this case, x) in the function expression and simplify the resulting expression.

However, in this case, we are given the value of x and simply need to read off the value of y from the graph.

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The complete question is given below.

Explanation:

We know that:

∠C must be congruent to ∠J because ABCDE is congruent to GHJDF. The underlined line represents it's congruence between ABCDE and GHJDF. The only difference between ABCDE and GHJDF is that ABCDE is in larger form, while GHJDF is in smaller form. We also know that GH/HJ = AB/BC because ABCDE is congruent to GHJDF.

Hoped this helped.

\(BrainiacUser1357\)

Answer:

452.16m²

Step-by-step explanation:

First, let us find the radius of the circle.

r = d/2

Here,

d ⇒ diameter ⇒ 24 m

Therefore,

r = d / 2

r = 24 / 2

r = 12 m.

The formula to find the area of a circle is :

A = π r²

A = 3.14 × 12 × 12

A = 452.16m²

Surface Area of cuboid = 2 (lb + bh + hl)

According to the question :

length = x, width = x-5, height = 0.5x

250 = 2 ( x × (x-5) + (x-5) × 0.5x + 0.5x × x )

250 = 2 ( x² - 5x + 0.5x² - 2.5x + 0.5x²)

250 = 2 ( x² - 5x + x² - 2.5x )

250 = 2 ( 2x² - 7.5x )

250 = 4x² - 15 x

4x² - 15x -250 = 0

The solution is : the value of y is 7.

Here, we have,

The perimeter of a rectangle is found by

P = 2 (l+w)

P = 2( 3y+3+2y)

Combine like terms

P = 2(5y+3)

We know the perimeter is 76

76 = 2(5y+3)

Divide each side by 2

76/2 = 2/2(5y+3)

38 = 5y+3

Subtract 3 from each side

38-3 = 5y+3-3

35 = 5y

Divide each side by 5

35/5 = 5y/5

7 =y

We want the length of AD = BC = 2y

AD = 2y=2*y = 14

Hence, The solution is : the value of y is 7.

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Answer:

listen i would do this for u bit i gtg so what u can do is:

Step-by-step explanation:

time them into your calculator moving the decimal 2 spots over for example the first one would be .032 x 360 and just do that for all of them

The total surface area of the tomato ketchup given in the diagram can be determined as follows:

The total surface area of a shape is the addition of the areas of its individual surface.

So that the questions can be answered as thus:

A. To find the area of the given circle;

i. Area of a circle = \(\pi r^{2}\)

where r is the radius of the circle.

area of the circle = π\((2.5)^{2}\)

                            = 6.25\(\pi\)

ii. There are two identical circles in the cylinder.

iii. The total area of all circles = 2(6.25\(\pi\))

                                                 = 12.5\(\pi\) square inches

B. To find the area of the rectangle;

i. one side of the rectangle is 5 inches.

ii. The other side of the rectangle = 2\(\pi\)r

                                     = 2(2.5)\(\pi\)

                                     = 5\(\pi\) inches

iii. The area of the rectangle = l x b

                             = 5\(\pi\) x 5

                             = 25\(\pi\) square inches

C. Total surfce area of the cylinder = 5\(\pi\) + 25\(\pi\)

                                         = 30\(\pi\) square inches

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Answer:

Step-by-step explanation:

First box

6.25

2

12.5

------

Second box

------

5

5

25

------

Last box

------

37.5

Answer: A function is the equation used to solve a variable, usually uses X and Y.

i.e. Y = 23x -9