It takes Elijah 8 minutes to run 4 laps how many minutes does it take him to run 1 lap?
Topic is unit rate

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

27 is 30% of what number?

D. 90

Step-by-step explanation:

You're welcome.

a) Tοtal squares shaded is 4*10+(1*6) + 4*10+(1*6) + (1*8) + 3*10+(1*8)

b) The expressiοn gives the tοtal number οf squares.

Tοtal squares will be number οf cοlumns multiplied by the squares in each cοlumn.  dοing same fοr all cοlοrs and adding them, we will get the  Tοtal squares shaded

c) On simplifying the expressiοn, we get  138  squares

Mathematical expressiοns cοnsist οf at least twο numbers οr variables, at least οne arithmetic οperatiοn, and a cοmplete sentence. Any οne οf the fοllοwing mathematical οperatiοns can be used. A sentence has the fοllοwing structure: Number/variable, Math Operatοr, Number/Variable is an expressiοn.

In each cοlumn, there are 10 squares

The first grid has 4 cοlumns and 6 squares shaded green

=> 4*10+(1*6) = 46  green squares

On the same grid, 6 squares and 4 cοlumns are shaded red.

=> 4*10+(1*6) = 46   red squares

On the same grid, 8 squares are shaded blue. => (1*8) blue squares

On the secοnd 10 by 10 grid, 3 cοlumns and 8 squares are shaded blue.

=> 3*10+(1*8) blue squares

a)Tοtal squares shaded

= shades οn first grid +  shades οn secοnd grid

= ( green squares + red squares +  blue squares ) + ( blue squares )

=  4*10+(1*6) + 4*10+(1*6) + (1*8) + 3*10+(1*8)

b)   The expressiοn gives the tοtal number οf squares.

Tοtal squares will be number οf cοlumns multiplied by the squares in each cοlumn.  dοing same fοr all cοlοrs and adding them, we will get the  Tοtal squares shaded

c)  On simplifying the expressiοn, we get

= 46+46+8+38

= 138  squares

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The pair of polygons in the diagram are not similar.

What are polygons?

A closed polygonal chain made up of a finite number of straight-line segments is what defines a polygon in geometry. A polygon can be defined as a region that is circumscribed by a bounding circuit, a plane, or both. The edges or sides of a polygon circuit are its segments.

Solution Explained:

Similar polygons have proportional matching sides and all corresponding angles that are congruent.

Since the polygons' side lengths ensure that they are parallelograms, the congruence of just one pair of related angles is sufficient to guarantee the congruence of all the others.

The ratio of side lengths in the left polygon is 13/8, whereas in the right polygon it is 5.2/2.4, which equals 13/6. The matching sides are NOT proportionate since their ratios are different from one another.

Hence, the pair of polygons are not similar.

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Answer:

50.6

Step-by-step explanation:

Answer:

50.6.................

Answer:

It's 30.72

Step-by-step explanation:

Take your total and times it by the percentage (20 in this case) and then divide by 100.

total: 25.60$

tip: 20% of total

25.60 * 20 = 512

512/100 = 5.12

25.60 + 5.12 = 30.72

Distance Formula: \(\sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)

First, plug the two points in.

(6, 2)      ( 1, -4)

x1  y1      x2  y2

\(\sqrt{(1 - 6)^2 + (-4-2)^2}\\\sqrt{(-5)^2 + (-6)^2}\\\sqrt{25 + 36}\\\sqrt{61}\)

The square root of 61 is axproximately 7.8

Answer:

16+2.36=18.36

Step-by-step explanation:

( what expressions did they give u to pick?)

The perimeter of the rectangular piece of land is 62 yards.

To find the perimeter of the rectangular piece of land, we need to know its length. We can use the formula for the area of a rectangle, which is A = L x W, where A is the area, L is the length, and W is the width. We know that the area of the land is 240 square yards and the width is 15 yards, so we can substitute these values into the formula and solve for the length:

240 = L x 15

L = 240 / 15

L = 16

Therefore, the length of the land is 16 yards. To find the perimeter, we add the lengths of all four sides of the rectangle:

P = 2L + 2W

P = 2(16) + 2(15)

P = 32 + 30

P = 62

Therefore, the perimeter of the rectangular piece of land is 62 yards.

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The predicted cost for a student attending a arts college with 1,500 students and a rank of 4.5 can be calculated using the given regression model: Tuition = 7 + 4*Rank - 0.20*Size + 8*Private - 0.4*LibArts.

In this case, Rank = 4.5, Size = 1.5 (since it's measured in 1,000s), Private = 1 (since it's a private college), and LibArts = 1 (since it's a liberal arts college). Plugging these values into the model, the predicted tuition cost would be: Tuition = 7 + 4*(4.5) - 0.20*(1.5) + 8*1 - 0.4*1 = $26.1 thousand.

If the student switches from her current private liberal arts college to a public, non-liberal arts college with a rank 0.5 lower and 15,000 more students, we need to adjust the Size and Rank variables accordingly. Assuming the student's current college is still private, the new values would be Rank = 4.5 - 0.5 = 4 and Size = 1.5 + 15 = 16.5 (since it's measured in 1,000s). With the new values, we can calculate the predicted tuition cost for the public college: Tuition = 7 + 4*(4) - 0.20*(16.5) + 8*0 - 0.4*0 = $22.4 thousand.

To determine how much money the student saves in tuition, we calculate the difference between the predicted costs of the two colleges: $26.1 thousand - $22.4 thousand = $3.7 thousand. Therefore, by switching from her current private liberal arts college to a public, non-liberal arts college with a lower rank and larger size, the student saves $3.7 thousand in tuition.

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Answer:

16.3

Step-by-step explanation:

The height of the building to the nearest tenth is 16. 3 ft

The situation forms a right triangle.

The length of the ladder is the hypotenuse of the triangle formed.

The distance from the foot of the ladder to the bottom of the building is the adjacent sides.

Therefore,

c² = a² + b²

where

c = hypotenuse

a and b are the other two legs.

b² = 29² - 24²

b² = 841 - 576

b = √265

b = 16.2788205961

b = 16.3 ft

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well, since the y-intercept is at -5, or namely when the line hits the y-axis is at -5, that's when x = 0, so the point is really (0 , -5), and we also know another point on the line, that is (-1 ,6), to get the equation of any straight line, we simply need two points off of it, so let's use those two

\(\stackrel{y-intercept}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})}\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{6}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{(-5)}}}{\underset{run} {\underset{x_2}{-1}-\underset{x_1}{0}}} \implies \cfrac{6 +5}{-1} \implies \cfrac{ 11 }{ -1 } \implies - 11\)

\(\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{- 11}(x-\stackrel{x_1}{0}) \implies y +5 = - 11 ( x -0) \\\\\\ y+5=-11x\implies {\Large \begin{array}{llll} y=-11x-5 \end{array}}\)

When drawing cabinets obliquely, we start with the front face of an object and draw the depths or sides at 45 degrees.

The object is depicted as having a cabinet oblique with half height and full depth. In a cabinet oblique drawing, the object's height is depicted at half scale while its depth is represented at full scale.

In doing so, a foreshortening effect is produced, giving the object a deeper than tall appearance. The drawing is normally displayed at a 45-degree angle, with the breadth of the object drawn to full scale.

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Answer:

Step-by-step explanation:

It is 20% because there is 5 squares. So we need to make this a fraction. So the fraction would be 1/5.  So we then have to find a multiple  for 1/5 because it is out of 100. So 20x5=100. So we have to multiply the top and the bottom part of the fraction by 20. So 5x20=100 and 1x20=100. So then we get 20/100. So the top number is your percent. So 20% is your answer. Good luck.

Answer:

The answer is the first one

Step-by-step explanation:

we have only one outcome that is neither positive nor negative, then the statement is false.

What is square root?

A value known as the square root of a number is one that, when multiplied by itself, yields the original number. An alternative to square rooting a number is to use it. Therefore, the concepts of squares and square roots are connected. The original number is equal to the square root of any integer, which is equivalent to a number.

Let's assume that m is an integer that is positive, such that (m.m) = (m2) = m.

This seems to be true because:

-2*-2 = 2*2 = 4

So √4 = 2 and -2

But particularly the square root of zero is:

√0 = 0

So here we have only one outcome that is neither positive nor negative, then the statement is false.

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The measure of the arc WT in the circle is 51 degrees.

The measure of the angle formed by the intersection of two tangents outside a circle is half the positive difference of the measure of the intercepted arc.

Therefore,

m∠RPS = arc RS - arc WT / 2

m∠RPS = 35°

arc RS = 121°

arc WT = ?

35 = 121 - x  / 2

cross multiply

70 = 121 - x

70 - 121 = -x

x = 51°

Therefore,

arc WT = 51°

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Answer:

0

Step-by-step explanation:

1. To solve this question, we plug in the values of a and b into the expression.

Therefore, when we evaluate the expression when a = 7 and b = 42, we get 0.

Hey there!

b/6 - a

= 42/6 - 7

= 7 - 7

= 0

Therefore, your answer is: 0

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Equilibrium is the term refers to coordination, balance, and balance in three dimensional space.

The equilibrium condition of an object exists when Newton's first law is valid. An object is in equilibrium in a reference coordinate system when all external forces (including moments) acting on it are balanced. This means that the net result of all the external forces and moments acting on this object is zero.

There are three types of equilibrium: stable, unstable, and neutral.

Examples of equilibrium in everyday life:

A book kept on a table at rest. A car moving with a constant velocity. A chemical reaction where the rates of forward reaction and backward reaction are the same.

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Answer:

Step-by-step explanation:

-8^8 is -16777216.

-8^5 is -32768.

-16777216/-32768 is 512.

btw, is this bigideas? lol i remember this website

"An expected loss" and "The coefficient of variation" are not random variables.

An expected loss is not a random variable but a concept used to calculate the average value of potential losses. It represents the sum of the products of each possible loss amount and its corresponding probability. The coefficient of variation is a measure of the relative variability of a random variable. It is calculated by dividing the standard deviation of the variable by its mean. However, the coefficient of variation itself is not a random variable but a statistic used to describe the dispersion of a random variable.

On the other hand, "The probability of loss" is indeed a random variable. As mentioned earlier, a random variable is a variable whose value is determined by the outcome of a random event. The probability of loss can take on different values depending on the uncertain outcome of an event, making it a random variable.

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Answer:

(-3, -5)

Explanation:

Given the function:

First, make y the subject of the equation.

To choose a point that lies on the line, we test the x-values and see if we get the corresponding y-value.

Since the y-value corresponds to the point (-3, -5), the point that lies on the function is (-3, -5).

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

Answer:

$29,045.69

Step-by-step explanation:

The total amount accrued, principal plus interest, with compound interest on a principal of $25,000.00 at a rate of 3% per year compounded 365 times per year over 5 years is $29,045.69.

A = P(1 + r/n)nt

A = 25,000.00(1 + 0.03/365)(365)(5)

A = 25,000.00(1 + 8.2192E-5)(1825)

A = $29,045.69

The length of the legs of the right triangle are the ones in option D;

4.9 units, 14.2 units

Here we have a right triangle with one interior angle that measures 19°, and the hypotenuse measures 15 units.

To find the measures of the legs we can use trigonometric relations; we will get the measures of the two legs.

cos(19°) = x/15 ----> x = cos(19°)*15 = 14.2 units.

sin(19°) = y/15 ----> y = sin(19°)*15 =  4.9  units

Then the correct option will be D, these are the two lenghts of the legs of the right triangle.

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Answer:

m/4=58

m/9=52

m/10=148

m/7=58

m/6=52

m/5=98

Answer:

-2.43655

Step-by-step explanation:

Answer:

=The opposite angles of a parallelogram are equal

=(3x+4)

=(5x-2)

=-2x=-6

=x=6+2

=x=3=

1st angle=3x+4=13

3rd angle=5x-2=13

=sum of adjacent side of angle is 180°

=Let the adjacent (2nd angle ) be y=

y+13°=180°

=y=180°-13°

=y=167°=

2nd angle=4th angle

=2nd angle=167° 

=4th angle=167°

Step-by-step explanation:

This might be confusing, but I hope it helps <3

Answer:

11/28

Step-by-step explanation:

\(\log \left(\frac{2x+1}{3x-1} \right)=1 \\ \\ \frac{2x+1}{3x-1}=10 \\ \\ 2x+1=30x-10 \\ \\ 11=28x \\ \\ x=11/28\)

On checking this solution in the original equation, we see it works.