A boat travels 400 miles at a rate of 20 miles per hour. How many hours did it travel?
A. 20 hours
B. 5 hours
C. 80 hours

The number of cookies Zahra made with 4/5 kilograms of butter is 1333.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Zahra has 4/5 kilograms of butter to bake cookies.

Each batch of cookies requires 6/10 grams of butter

4/5 kilograms = 800 grams and 6/10 grams =0.6 grams

Number of cookies = Number of kilograms of butter ÷ Butter requires in each cookie

= 800 ÷ 0.6

= 800/0.6

= 1333

Therefore, the number of cookies are 1333.

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Answer:

D) 39 degrees

Step-by-step explanation:

9514 1404 393

Answer:

  A The line segments are parallel, and the image is twice the length of the given line segment.

Step-by-step explanation:

Dilation by a factor of 2 means any measure of the image is 2 times the corresponding measure of the original.

Dilation does not change any orientations, so the image will have the same orientation with respect to the origin, axes, or any other line segments. That means the dilated segment is parallel to the original. (If the center of dilation is on the original line segment, the dilated segment will overlay the original segment. That is specifically not the case here.)

There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.

There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.

One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.

A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.

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The equation of a circle with a center at (4,−9) and a radius of 5 is

(x−4)^2+(y+9)^2=25. The correct Option C.

A circle is a set of all points which are equally spaced from a fixed point in a plane. The fixed point is called the center of the circle. The distance between the center and any point on the circumference is called the radius of the circle.

The equation of a circle with center (h, k) and radius r units is

(x−h)^2+(y−k)^2=r^2 .

where h = 4

k = -9

r = 5

The equation of the circle

(x−4)^2+(y−(-9))^2 = 5^2

The equation of the circle

(x−4)^2+(y+9)^2 = 25

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Answer:

  about 33.3%

Step-by-step explanation:

The fraction of space not occupied will be the same as the unoccupied fraction of a cylinder of the same height and diameter as a sphere.

The volume of a cylinder of diameter d and height d will be ...

  V = πr²h = π(d/2)²(d) = (π/4)d³

The volume of a sphere of diameter d is ...

  V = 4/3πr³ = 4/3π(d/2)³ = (π/6)d³

The fraction of space that is occupied is ...

  occupied space = (sphere volume)/(cylinder volume)

  occupied space = ((π/6)d³) / ((π/4)d³) = 4/6 = 2/3

The fraction of unoccupied space is ...

  unoccupied fraction = 1 -2/3 = 1/3

  unoccupied fraction ≈ 33.3%

Answer:

Putangina okay

Step-by-step explanation:

#CarryOnLearning

Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

Answer:

------------------

Simplify in below steps:

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

Answer:

x < 2 is the answer oh and do the 3rd line option

The correct value of Z for the solution to true system is -2

From the question, we have the following parameters that can be used in our computation:

2x + 3y - z = 4

x - 3y + 2z = -3

3x + y - z = 5

Transform the third equation

So we have

2x + 3y - z = 4

x - 3y + 2z = -3

9x + 3y - 3z = 15

Eliminate y in the equations by subtraction

So we have

x - 3z = 7

10x - z = 12

Multiply x - 3z = 7 by 10

10x - 30z = 70

10x - z = 12

Subtract the equations

-29z = 58

So, we have

z = -2

Hence, the correct value of Z  is -2

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The number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

Box plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

The median of first test is 60 while the second test is 80. Thus, the difference is,

\(d=80-60\\d=20\)

The student, who got at least 60 in first test, falls in the second half of the plot. Thus, the 50% of students got atleast 60% marks. In the retake test, all 100% student got at least 60 on test.

In the first test 1/4 are passed while in second test 3/4 students are passed and got the marks 65 or more than this, Thus the number of student pass more in this test,

\(n=(\dfrac{3}{4}-\dfrac{1}{2})\times 32\\n=8\)

Thus, the number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

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Points J, K and M form a triangle.

In this triangle you are given the angles for JKM (50) and KJM (60)

The 3 inside angles of a triangle need to equal 180.

The third angle JMK would be 180 minus the two given angles:

JMK = 180 - 50 - 60 = 70

JMK = 70 degrees

Answer:

Ask your guidance counselor or a college admissions counselor

Step-by-step explanation:

Step-by-step explanation:

không khó lắm đâu ._.._.._.

Answer:

Mk. So I think you should only copy the part that is in bold.

Terms are something that is being added together. Factor is something that is being multiplied together. A coefficient is a number that is being multiplied by the variable. The 2x, 6x, and 14 are terms because they are being added together.

Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

we would take 8 horses and place 3, like this. There are 336 ways to have 8 horses place for 1st, 2nd, and 3rd place.

Step-by-step explanation:

Answer:

Function, function

Step-by-step explanation:

Each input corresponds to one output. Thus, by the definition of a function, both graphs represent functions

A total of 8 workers are required for a building time of 15 days.

In this problem we find a case of inverse relationship, in which the number of workers (n) is inversely proportional to building time (t), in hours. The situation is represented by following formulas:

n ∝ 1 / t

n = k / t

Where k is the proportionality ratio, which can be eliminated by building the following formula:

n₁ · t₁ = n₂ · t₂

If we know that n₁ = 10, t₁ = 12 and t₂ = 15, then the required number of workers is:

n₂ = n₁ · (t₁ / t₂)

n₂ = 10 · (12 / 15)

n₂ = 10 · (4 / 5)

n₂ = 8

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Answer:

1.5 seconds.

Step-by-step explanation:

Found this by dividing 1.2 by 0.8....

Hope this helps

The vertex of the function is (3, -65)

A Quadratic function, or parabola, is any function of the form. Quadratic functions have either a unique maximum or a unique minimum. The point where the maximum or minimum is reached is called the vertex.

Given is a quadratic function, -5x²+30x-20 = 0, we are asked to find the vertex of the function,

-5x²+30x-20 = 0

Comparing with the general equation of the quadratic function, ax²+bx+c = 0

a = -5, b = 30 and c = -20

To find the vertex from this form, we will find the x-coordinate of the vertex, which is x = - b/2a.

x = -30 / 2(-5) = 30/10 = 3

x = 3

Put x = 3 in the function,

= -5(3)²+30(3)-20

= -5·27+90-20

= 65

Thus, the vertex of the function is (3, -65)

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The correct graph that represents the solution set of the system of inequalities is in Option(b).

Inequality is a  statement of an order relationship (greater than, greater than, or equal to, less than, or less than or equal to) between two integers or algebraic expressions in mathematics.

The given system of inequalities are,

y < -3x - 2

y ≤ x - 2

We have to select the graph that represents the solution set of the system of inequalities.

y < -3x - 2

Let, y = -3x - 2

Now, plot the graph of the line y = -3x - 2 with a Dotted line ( as < is a strict inequality).

y ≤ x - 2

Let, y = x - 2

Now, plot the graph of the line y = x - 2 on the graph.

The area between the two lines of inequalities on the graph represent the solution set.

Upon comparison with the graphs in the options, the correct graph is present in Option(b).

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There is insufficient information so the joint probability mass function of X and Y.

given that

there are three bowls they are a red bowl , a green bowl and a blue bowl  are on the kitchen table

alan places one egg into a randomly selected bowl.

X = # of eggs placed into the red bowl

Y = # of empty bowls at the end of the experiment.

the joint probability mass function of X and Y

1. Not sufficient

R=5

let us consider when G = 2 , B = 1 => P(G) = 2/8

when G=1, B=2 => P(G) = 1/8

2. Not Sufficient

P(B) = 1/3 = x/3x

But this doesn't tell us anything about B or total because P(B) = 1/3 , but it could also be 2/6 or 3/9 so on..

So we can have different B . Thus we can have different G combinations.

Together - Not Sufficient

P(B) = x/(3x) , R = 5

P(G) = 1- P( not G )

= 1- P(R or B)

But we cannot calculate this with out knowing P(R) and P(B).

we cannot solve this problem because there is no proper information is given.

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Line plots are used to express variables using markers

The total phone call for eight months is \(10\frac 34\) hours

From the line plot, we have the following summation

\(Total = 1hr + 1\frac 12 hr * 2 + \frac 34 hr\)

When the total hours of phone call for the 8th month is added, the summation equation becomes

\(Total = 1hr + 1\frac 12 hr * 2+ \frac 34 hr + 6 hr\)

Add the expressions

\(Total = 10\frac 34\)

Hence, the total phone call for eight months is \(10\frac 34\) hours

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The probability that the average length of a randomly selected bundle of steel rods is greater than 168.58 cm is 0.7486

First, we need to calculate the z-score for the sample mean:

z = (x - μ) / (σ / √n)

z = (168.58 - 169) / (2.2 / √10)

z = -0.67

Next, we need to find the probability that a randomly selected bundle of steel rods will have a mean length greater than 168.58 cm. This is equivalent to finding the area under the standard normal distribution curve to the right of z = -0.67.

Using a standard normal distribution table or calculator, we find that the probability is 0.7486.

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Answer:

Alternate interior angles have the same measure. As we know that 'angle 1 ' and 50° are alternate interior angles hence they must be equal. Also we now that sum of all the angles of a triangle is equal to 180°. Hence, m∠2=15°.

Answer:

Height = 557.1 to 1dp.

Step-by-step explanation:

Surface area of the given prism

= 2(12*3 + 12*10 + 10*3)

= 7272

The new prism must have surface are 2*7272 = 14544.

Let the new height be h, then:

2(3h + 10h + 30) = 14544

6h + 20h = 14544 - 60

26h = 14484

h = 14484/26

  = 557.1 cm.

Here is your answer

Hope this helps

Answer:

C

Step-by-step explanation:

To sum matrices they have to be of the same proportions

and we sum the corresponding

so we have

\(1)-3x_1+7=10\\\\-3x_1=3\\\\x_1=-1\\\\\\2)-3x_2+0=0\\\\-3x_2=0\\\\x_2=0\\\\\\3)-3x_3-1=8\\\\-3x_3=9\\\\x_3=-3\\\\\\4)-3x_4+2=-19\\\\-3x_4=-21\\\\x_4=7\\\\\\5)-3x_5-3=-18\\\\-3x_5=-15\\\\x_5=5\\\\\\6)-3x_6+4=10\\\\-3x_6=6\\\\x_6=-2\)

so the answer is C

I cannot write a matrix but there you have the values

x_1     x_2    x_3

x_4    x_5    x_6