Evaluate (5x – 4y) = z2 when x = 4, y = 1, and z = 3.

Answer:

The probability that he selects a raisin bagel and then a plain bagel is [tex]\frac1{11}[/tex].

Step-by-step explanation:

Probability:

The ratio of the number of outcomes of favorable event to total number of all possible outcomes is called probability of the favorable event.

[tex]Probability=\frac{\textrm{The number of favorable outcomes}}{\textrm{Total number of all possible}}[/tex]

Given that, there are 4 blueberry, 6 raisins and 2 plain bangles in a bag.

Total number of bangles= (4+6+2)

                                        = 12

The probability that he selects a raisin

[tex]=\frac{\textrm{Number of raisin bangles}}{\textrm{Total number of bangles}}[/tex]

[tex]=\frac{6}{12}[/tex]

[tex]=\frac12[/tex]

Total number of remaining bagels is =(12-1)=11

After selecting a raisin  bagel,the probability that he selects a plain bangle is

[tex]=\frac{\textrm{Number of plain bangles}}{\textrm{Total number of bangles}}[/tex]

[tex]=\frac{2}{11}[/tex]

Selecting of a raisin bangle and a plain bangle are both independent event.

The probability that he selects a raisin bagel and then a plain bagel is

[tex]=\frac{1}2\times\frac{2}{11}[/tex]

[tex]=\frac1{11}[/tex]

Answer: Hannah blew 1 bubble

Step-by-step explanation:

Mean * number of gum chewers= total bubbles

4*4=16

Let’s add up the numbers of bubbles that we do know.

4+5+6=15

16-15=1

Hannah blew 1 bubble

The number of bubbles Hannah blew can be expressed as 1

The study of variables and the formula manipulation principles is known as algebra. Its roots lie in the computation methods of ancient Babylonia, but now it is a mode of thinking that permeates practically all branches of mathematics.

Let number of bubbles Hannah blew =x

Then we can set up the equation as

[tex]\frac{1}{4} (4+5+6+x)=4[/tex]

15+x=16

x=16-15

x=1

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Answer:

300 readers

Step-by-step explanation:

60/2=30

30X100=300

The total number of readers of a newspaper based on the percentage of people who wrote letters to the editor are 3000.

The number of readers the newspaper has is:

Number of readers = (60 / 0.02) = 3000 readers

Therefore, the newspaper has 3000 readers.

Answer:

0.4444444

Step-by-step explanation:

2/3 x 2/3 = 0.4444 repeating!

Hope this helps!

Answer:

Circle

Step-by-step explanation:

We have been given a definition and we have to identify this definition belongs to which shape.

Think of a shape which has a well defined center and all the points on its boundary are at an equal distance from the center. Only one such shape exists i.e. Circle.

The boundary of a circle is its Circumference. Each point on the circumference of a circle is at an equal distance from the center of the circle and this distance is known as the Radius of the Circle.

Therefore, the answer to this question is Circle.

Answer:

tbh im not sure but i think the answer is 30 ft

Step-by-step explanation:

Answer:

1, 8.4

Unit rate: 8.4 feet per second

Step-by-step explanation:

To find the unit rate you divide the time by the distance, therefore with 8.4 it's easy to find the unit rate! :) Hope this helps! If it did, rate brainliest

Answer: 19 + 11 = 30 + 77 = 107 - 2/10 = 106.8

If you're confused by the fraction just do 2 divided by 10 and you should get 0.2.

So, instead of doing 2/10 you can do:

19 + 11 = 30 + 77 = 107 - 0.2 = 106.8

Have a good day!

Answer:

-13.5

Step-by-step explanation:

-4/3w=18

You would need to get the w by itself on one side so the easiest way to do so would be to divide both sides my -4/3.

This would give you an answer of w= -27/2 or w= -13.5

Answer:

tb i think its A

Step-by-step explanation:

Answer:

It is A

Step-by-step explanation:

Answer:

Grows, Factor of 2

Step-by-step explanation:

The relationship between the elapsed time, t, in years, since Takumi started studying his tree, and the total  number of its branches, N(t), is modeled by the function:

[tex]N(t) = 63. 2^t[/tex]

For illustration, let us take the growth for the first three years after he started studying the number of branches.

[tex]When \:t=1, N(1) = 63. 2^1=126\\When \:t=2, N(2) = 63. 2^2=252\\When \:t=3, N(3) = 63. 2^3=504\\504\div 252=252\div 126=2[/tex]

We notice that for each subsequent year, the number of branches doubles.

Therefore:

Every year, the number of branches  grows by a factor of 2.

Answer:

3/10

Step-by-step explanation:

The inequality is : 0.6x > 6000. The graph of the solution is : open circle at 10,000; arrow right

Thats the right answer it told me

Answer:

The inequality is

✔ 0.6x > 6000

.

The graph of the solution is

✔ open circle at 10,000; arrow right

Step-by-step explanation:

Only 3 years late ;)

Answer:

7 cans

Step-by-step explanation:

-The number of cans that can be fitted is obtained by dividing the volume of the shelf by the volume of an individual can.

-Volume of the shelf is calculated as below:

[tex]V_{shelf}=lwh\\\\=10\times10\times4\\\\=400\ in^3[/tex]

#We then divide by the volume of a can:

[tex]No \ of \ cans=\frac{V_{shelf}}{V_{can}}\\\\=\frac{400}{50.24}\\\\=7.96\approx 7\ cans[/tex]

We round down since the 8th can cannot properly fit.

Hence, only 7 cans will fit in the shelf

A shelf that is 10 inches tall and 10 inches wide can fit up to 4 cans of vegetables.

To determine how many cans of vegetables fit on Sam's shelf, we need to compare the dimensions of the shelf with the dimensions of the cans. Given:

We assume we stack the cans upright, which is the most common arrangement in a shelf. Each can occupies a 4-inch height. Therefore, we can stack:

10 inches / 4 inches = 2.5 cans

Since we cannot have half a can, we round down to 2 cans high. The shelf width allows for:

10 inches / 4 inches = 2.5 cans wide

Again, rounding down, 2 cans wide. Since we only have shelf dimensions in height and width (depth isn't mentioned, we'll assume a single layer in depth), the total number of cans that fit is:

2 (height) x 2 (width) = 4 cans

Answer:

uh im not in that grade yet so ye

Step-by-step explanation:

Answer:

0.9264999239

Step-by-step explanation:

chance that first battery that is being checked works is 195/200

chance that second battery that is being checked works is 194/199

chance that third battery that is being checked works is 193/198

propabilty that the clerk ships the order is (195/200)×(194/199)×(193/198)

=0.9264999239

Answer:

422.389 cm

Step-by-step explanation:

First you have to find the area of the circle then subtract it by the area of the rectangle. To find the area of the circle you have to square the radius then multiply it by 3.14.(12×12=144, 144× 3.14=452.389) Therefore 452.389 cm is the area of the circle. Area of the rectangle 30cm.

452.389 -30=422.389

Answer:

68 tickets

Step-by-step explanation:

This is a problem that involves a system of equations, the first step is to define your variables and write equations to represent the situation.

x = number of advance tickets

y = number of door tickets

x + y = 184

3x + 5y = 688

Next, you need to solve for one variable, based on how these equations are written, the best method would be to solve by multiplication.

-3(x + y = 184) (multiply equation by -3)

-3x - 3y = -552

Now we need to combine the two equations together

3x + 5y = 688

-3x - 3y = -552

From here we can eliminate the x variable when subtracting the equations, this results in:

2 y = 136

y = 68

Therefore, 68 tickets were sold at the door.

Answer:

The answer is 9.42, Yash :) ~Anusri

Step-by-step explanation:

Basically, you can set up two proportions (one for each concentric circle).

x/25pi=45/360 will get you an area of 9.81 for the smaller circle and x/49pi=45/360 will get you an area of 19.4225 for the larger circle. Subtract those and get 9.42.

Have fun Yash

To find the area of the shaded region, subtract the area of the smaller circle from the area of the larger circle.

To find the area of the shaded region, we need to subtract the area of the smaller circle from the area of the larger circle.

The formula to find the area of a circle is pi * r^2, where pi is approximately 3.14 and r is the radius of the circle.

Let's assume the radius of the larger circle is 4 units and the radius of the smaller circle is 3 units. The area of the larger circle is 3.14 * 4^2 = 50.24 square units, and the area of the smaller circle is 3.14 * 3^2 = 28.26 square units.

Therefore, the area of the shaded region is 50.24 - 28.26 = 21.98 square units.

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Answer:

behaviour

Step-by-step explanation:

Answer:

1 is c

2 is b

3 is d

4 is a

Step-by-step explanation:

Open circle is 'less than' or 'greater than'.

Closed (shaded) circle is 'less than or equal to' or 'greater than or equal to'.

Answer:

The replacing the grass will cost  Mr. Ishimoto $14.00.

Step-by-step explanation:

The area of a rectangular field is:

[tex]\text{Area}=\text{height}\times \text{base}[/tex]

It is provided that Mr. Ishimoto needs to replace the grass in the section of his lawn.

The grass section can be broken into 2 rectangles.

First rectangle: Base = 7 feet and Height = 3 feet.

Second rectangle: Base = 2 feet and Height = 7 feet.

Compute the area of both the rectangles as follows:

[tex]\text{Area}_{1}=\text{height}_{1}\times \text{base}_{1}\\=3\times 7\\=21[/tex]               [tex]\text{Area}_{2}=\text{height}_{2}\times \text{base}_{2}\\=7\times 2\\=14[/tex]

Now the cost of the new grass is $0.40 per square foot.

Compute the cost of replacing the grass in the first rectangular section as follows:

[tex]\text{Cost of new grass for section 1}=\text{Area}_{1} \times\$0.40\\[/tex]

                                                [tex]=21\times \$0.40\\=\$8.40[/tex]

Compute the cost of replacing the grass in the second rectangular section as follows:

[tex]\text{Cost of new grass for section 2}=\text{Area}_{2} \times\$0.40\\[/tex]

                                                [tex]=14\times \$0.40\\=\$5.60[/tex]

The total cost of replacing the grass is:

[tex]\text{Total cost}=\text{Cost of new grass for section 1}+\text{Cost of new grass for section 2}[/tex]

                [tex]=\$8.40+\$5.60\\=\$14.00[/tex]

Thus, the replacing the grass will cost  Mr. Ishimoto $14.00.

Answer

14.00

Step-by-step explanation:

Answer:

x = 12[tex]\sqrt{2}[/tex]

y = 12

z = 12[tex]\sqrt{3}[/tex]

Step-by-step explanation:

The triangle with z as one of it's sides is a 30, 60, 90 triangle where the longest side of the triangle is 2x, the shortest side as x, and the middle side as x*sqrt of 3.

The shared line between the two triangle is 12 and z is 12*sqrt of 3

The left triangle is a 45, 45, 90 triangle where the 2 sides that look the same are the same and the hypotenuse is x sqrt of 2 so y is 12 and x is 12 sqrt of 2

Answer:

x = [tex]12\sqrt{2}[/tex] units

y = 12 units

z = [tex]12\sqrt{3}[/tex] units

Step-by-step explanation:

Notice that the biggest triangle is broken up into a 45-45-90 isosceles triangle with hypotenuse x and leg y, as well as a 30-60-90 triangle with hypotenuse 24 and long leg z.

Let's focus on finding z first. Remember that in a 30-60-90 triangle, the ratio of the short leg to the long leg to the hypotenuse is: [tex]1:\sqrt{3} :2[/tex]. Here, the hypotenuse is 24 and z is the longest leg, so we have the proportion:

[tex]\frac{\sqrt{3} }{2} =\frac{z}{24}[/tex]

Cross-multiply:

[tex]24\sqrt{3} =2z[/tex]

z = [tex]12\sqrt{3}[/tex] units

Now, let's find the smallest leg of the 30-60-90 triangle; it is simply 24/2 = 12 units. Let's move onto x and y.

Remember that in a 45-45-90 triangle, the ratio of one leg to the second leg to the hypotenuse is: [tex]1:1:\sqrt{2}[/tex]. So, since y is a leg of this triangle and the smallest leg of the 30-60-90 triangle coincides with the second leg of the 45-45-90 triangle, y = 12 units.

Finally, x is found by multiplying 12 by [tex]\sqrt{2}[/tex]: 12 * [tex]\sqrt{2}[/tex] = [tex]12\sqrt{2}[/tex] units

Hope this helps!

Answer: B. Y=7 straight horizontal line

Step-by-step explanation:

Answer:

B : y = 7 straight horizontal line

Step-by-step explanation:

On edge

Answer:

Sorry if this is late, but it's 24mm2

Step-by-step explanation:

i got a 100 on the quiz

The area of the shaded region, if a smaller triangle is cut out a larger triangle is 24 mm²

An equation is an expression that shows the relationship between two or more number and variables.

Area of the larger triangle = (1/2) * 5 mm * 12 mm = 30 mm²

Area of the smaller triangle = (1/2) * 4 mm * 3 mm = 6 mm²

Area of shaded region = 30 mm² - 6 mm² = 24 mm²

The area of the shaded region, if a smaller triangle is cut out a larger triangle is 24 mm²

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80 feet per second

Step-by-step explanation:

just divide the amount he fell by the amount of time it took so you would take 400/5 and get the answer

Answer:

80

Step-by-step explanation:

If it took him 5 seconds to drop 400 feet then you have to divide it by 5 to determine the rate he can drop a certain amount of feet per second.

false because it is formed wrong

Final answer:

The equation y = x^3 - 4 is not a linear equation because it contains a cubic term (x^3), which means the graph is a curve, not a straight line. Therefore, the correct answer is false.

Explanation:

The equation y = x3 − 4 is not a linear equation. A linear equation is one in which every term is either a constant or the product of a constant and the first power of a variable. In the given equation, the term x3 indicates that it is a cubic term because the value of x is raised to the power of three, suggesting that the graph of this equation would be a curve, not a straight line. Therefore, the correct answer is false.

Linear equations have the general form y = mx + b, where 'm' is the slope and 'b' is the y-intercept. Examples of linear equations include y = −3x, y = 0.2 + 0.74x, and y = −9.4 − 2x, which can all be graphed as straight lines. In contrast, an equation like y = x3 − 4 does not fit this form and therefore is not considered linear.