Question 1-12
6
Select all the expressions that are equivalent to 9x + 5(6/5x+3)-30
15x-30
16(x-2)
15x-15
15(x-1)
16(x-1)
16(x-1)

This inequality states that the total cost of buying x gumballs and y jawbreakers must be less than or equal to $3.00.

Let x be the number of gumballs that Bob buys, and let y be the number of jawbreakers that Bob buys.

The cost of buying x gumballs is $0.50 times x, or 0.50x. The cost of buying y jawbreakers is $0.30 times y, or 0.30y.

Bob has $3.00 to spend on candy, so we can write an inequality to represent the total cost of buying both types of candy:

0.50x + 0.30y ≤ 3.00

This inequality states that the total cost of buying x gumballs and y jawbreakers must be less than or equal to $3.00.

Note that this inequality assumes that Bob spends all of his money on candy. If Bob wants to save some money or spend it on something else, the inequality would need to be modified accordingly.

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Annie made mistake in her trigonometric ratios. The opposite side of the right triangle should be 6 cm not 8 cm.

A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Annie tries to solve the angle ABC of the right triangle. The angle ABC can be found using trigonometric ratios as follows:

where

∅ = angle ABC

Therefore,

sin ∅ = opposite / hypotenuse

sin ∅ = 6 / 10

sin ∅ = 3 / 5

∅ = sin⁻¹ 0.6

∅ = 36.8698976458

∅ = 36.87 degrees

Therefore, she made mistake in her trigonometric ratios.

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Answer:

i) ABCDEF has an area of 98m

ii) Flower bed has an area of 6m

iii) The area of the grass is 92m

Hope this helps!

Step-by-step explanation:

The area of a triangle is  [tex]\frac{1}{2}[/tex] × L × H

The area for the triangle flower bed will be [tex]\frac{1}{2}[/tex] × 6m × 2m or 6m.

In order to find the entire area of ABCDEF, draw a segment FC to create a trapezoid and a rectangle. The rectangle has an area of 77m ( 7 × 11 ). The trapezoid has a formula of [tex]\frac{1}{2}[/tex] × ( b + b ) × h, this would be [tex]\frac{1}{2}[/tex] × ( 10 + 11 ) × 2.

The trapezoid has an area of 21, this added to the rectangle's area of 77 equals 98m as the total area of the garden.

Subtract the area of the flower bed ( 6 ) from the area of the garden, and you get an area of 92m. This is the area of grass.

The solution of the absolute inequality is x < -9 or x > 1

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Absolute inequalities are inequalities  that involve algebraic expressions with absolute value symbols and inequality symbols.

Therefore, let's solve the absolute inequality as follows:

|2x + 8| > 10

2x + 8 > 10 or 2x + 8 < - 10

Let's solve them individually,

2x + 8 > 10

2x > 10 - 8

2x > 2

x > 2 / 2

x > 1

Therefore,

2x + 8 < - 10

2x < - 10 - 8

2x < -18

divide both sides of the inequality by 2

x < -18 / 2

x < - 9

Therefore,

x < -9 or x > 1

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Answer:

4

Step-by-step explanation:

because it median, so it number  was the middle of the total

as we know there is total of 9

and we count to 5

so it 4 letters

Answer:

4

Step-by-step explanation:

arranging the name lengths from smallest to largest we have; 3,3,3,3,4,5,7,7,9

From the set of numbers,4 appears at the middle hence the median name length.

28.26 is the volume of the fig.

Each thing in three dimensions takes up some space.

The volume of this area is what is being measured.

The space occupied within an object's borders in three dimensions is referred to as its volume.

It is sometimes referred to as the object's capacity.

Knowing an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

Hence, 28.26 is the volume of the fig.

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Answer:

1. Sara has more than Martin

2. No, Jon has less money than martin

Step-by-step explanation:

[tex]\text{Martin}=0.50[/tex]

[tex]\text{Sara}: 0.50\times10 = 5[/tex]

[tex]\text{Jon}: 0.50(\dfrac{1}{10} )= 0.05[/tex]

The result will be the amount of interest earned or paid. Don't stress out too much - with a little practice, you'll become an expert at using this formula!

Sure, I'd be happy to help you with I=prt! This formula is used to calculate simple interest. "I" stands for the interest, "p" stands for the principal (the amount of money borrowed or invested), "r" stands for the interest rate (expressed as a decimal),

and "t" stands for the time period (usually expressed in years). To use the formula, simply multiply the principal by the interest rate and the time period (in years).

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Answer:

it is option no d at least

cuz it is what it is

Answer:

Step-by-step explanation:

Answer:

2200

Step-by-step explanation:

have a good day

Model reef can sustain 20% net fishing  because the species didn’t increase as much as it did with the other net fishing method.

Explanation:

What is reef fishing ?

Reef fishing is commonly called “Bottom Bouncing” where anglers using heavy 60-100lb handline and rod techniques to target such prized eating fish as Coral Trout, Red Emperor and Nannygai.

What is net fishing ?

A fishing net is a net used for fishing. Nets are devices made from fibers woven in a grid-like structure. Some fishing nets are also called fish traps, for example fyke nets.

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Using the laws of exponents, the solution to the given problem is: 25

Some of the laws of exponents are:

1) Product of powers rule: This means that we add powers together when multiplying like bases.

2) Quotient of powers rule: This means that we subtract powers when dividing like bases.

3) Power of powers rule: This means that we multiply powers together when raising a power by another exponent.

4) Power of a product rule: This means that when any base is being multiplied by an exponent, distribute the exponent to each part of the base.

5) Negative exponent rule: This means that when there is a number being raised by a negative exponent, flip it into a reciprocal to turn the exponent into a positive

We are given the expression:

[tex]\frac{1}{5^{-2} }[/tex]

Using the negative exponent rule, we will have:

5² = 25

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To identify which lines intersect the line y = 3, you would need to provide a list of lines to choose from. In general, any line that is not parallel to y = 3 will intersect it. Lines parallel to y = 3 will have equations of the form y = c, where c is a constant value different from 3.

The required transformed coordinates of the quadrilateral as:A'(-10, 0),B'(-8, -6),C'(-3, -7), D'(0, -3).

The image matrix for the composite transformation of a rotation of 270º and a reflection over the line y=-x can be found by multiplying the transformation matrices for each operation.

The rotation matrix for 270º counterclockwise can be represented as:

[tex]$R_{270} = \begin{bmatrix}0 & -1 \1 & 0\end{bmatrix}$[/tex]

The reflection over the line y=-x can be represented as:

[tex]$F_{y=-x} = \begin{bmatrix}0 & -1 \-1 & 0\end{bmatrix}$[/tex]

To find the composite transformation matrix, we multiply the two matrices:

[tex]$M = F_{y=-x} \cdot R_{270} = \begin{bmatrix}0 & -1 \-1 & 0\end{bmatrix} \cdot \begin{bmatrix}0 & -1 \1 & 0\end{bmatrix} = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix}$[/tex]

To apply this transformation to the coordinates of the quadrilateral ABCD, we write each point as a column vector:

[tex]$A = \begin{bmatrix}-10 \0\end{bmatrix}$[/tex],

[tex]$B = \begin{bmatrix}-8 \6\end{bmatrix}$[/tex],

[tex]$C = \begin{bmatrix}-3 \7\end{bmatrix}$[/tex],

and

[tex]$D = \begin{bmatrix}0 \3\end{bmatrix}$[/tex]

We can then apply the composite transformation matrix M to each of these vectors:

[tex]$A' = M \cdot A = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}-10 \0\end{bmatrix} = \begin{bmatrix}-10 \0\end{bmatrix}$[/tex]

[tex]$B' = M \cdot B = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}-8 \6\end{bmatrix} = \begin{bmatrix}-8 \-6\end{bmatrix}$[/tex]

[tex]$C' = M \cdot C = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}-3 \7\end{bmatrix} = \begin{bmatrix}-3 \-7\end{bmatrix}$[/tex]

[tex]$D' = M \cdot D = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}0 \3\end{bmatrix} = \begin{bmatrix}0 \-3\end{bmatrix}$[/tex]

We can then write the transformed coordinates of the quadrilateral as:

A'(-10, 0),

B'(-8, -6),

C'(-3, -7),

D'(0, -3)

Therefore, the image matrix of quadrilateral ABCD after the composite transformation is:

[tex]$ \begin{bmatrix}-10 & -8 & -3 & 0 \0 & -6 & -7 & -3\end{bmatrix}$[/tex]

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After answering the provided question, we can conclude that As a result, percentage the answer is A. 27.5%.

A percentage is a ratio or number expressed as a percentage of 100 in mathematics. The abbreviations "pct.," "pct," and "pc" are also used on occasion. Despite this, the percentage symbol "%" is commonly used to represent it. The % value is dimensionally empty. In essence, percentages are fractions with a denominator of 100. To indicate that a number is a percentage, a percent sign (%) should be placed next to it. For example, you receive a 75% on an exam if you correctly respond to 75 out of 25 pages (75/100). Divide the result by 100 after dividing the amount by the total when calculating percentages. The percentage is found by multiplying (value/total) by 100%.

To calculate the percentage of Monroe Middle School seventh-graders who participate in the school band, divide the number of students who play an instrument by the total number of seventh-graders and multiply the result by 100.

There are 33 seventh-graders in the school band, and there are 120 seventh-graders in total. Therefore:

percentage = (33 / 120) x 100% % = 27.5%

As a result, the answer is A. 27.5%.

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The distance across the lake, given the distance of the tree and Cade would be 14.36 ft.

We can use the concept of similar triangles to solve this problem:

(Length of the tree's shadow) / (Distance from the tree to the edge of the lake) = (Length of Cade's shadow) / (Cade's height)

36.2 / 15 = 2.5 / 6.2

Now we can set up another proportion using the length of the tree's shadow and the length of the lake:

(Length of the tree's shadow) / (Length of the lake) = (Distance from the tree to Cade) / (Length of Cade's shadow)

Plugging in the values we know, we get:

36.2 / 15.6 = 15 / 2.5

6.2 * 2.32051282 = 14.36 ft

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The full question is:

The trees shadow is 36.2 feet long. The tree is 15 feet away from the edge of the lake. Cade is 6.2 feet tall and his shadow is 2.5 feet long, his shadow is measured at the exact time the trees shadow reaches the other side of the lake which is 15.6 feet long. What is the distance across the lake (water's edge to opposite side)​

California has the larger population, and it is approximately 20 times larger than Nebraska's population.

The population of California is 3.8 million, while the population of Nebraska is 1.9 million. To find the difference between the two populations, we can calculate 3.8 million minus 1.9 million, which equals 1.9 million. To find the ratio, we can divide the population of California by the population of Nebraska, which is 3.8 million divided by 1.9 million, which equals 2. Thus, California has a population that is 20 times larger than the population of Nebraska.

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Answer:

[tex]15x^2+4y-4z^2[/tex]

Step-by-step explanation:

Solve this question patiently.

See explanation in the attached picture.

Answer: Table 3

Step-by-step explanation:

exponential relationship means the y value is increasing/decreasing exponentially

In table 1: the value of y is NOT increasing/decreasing exponentially as 2 is being added continuously (linear), so not table 1

In table 2: the value of y is NOT increasing/decreasing exponentially as 4 is being subtracted continuously (linear), so not table 2

In table 3: the value of y IS increasing exponentially as the y variable is multiplied by 2, so table 3

In table 4: the value of y is NOT increasing exponentially as the y variable is only being increased by 5 constantly (linear), so not 4

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The Saints had the best overall record for the season because they had a larger mean value of about 200 points, whereas the Saints had a larger median value of 12 points.

To determine which team had the best overall record for the season, we need to consider the total number of points earned by each team across all games. We can calculate the total points for each team by adding up the points earned in each game.

For the Saints:

Total points = 21+12+3+3+10+10+14+3+12+28+40+10+17+20+7 = 200

For the Cowboys:

Total points = 10+3+8+6+24+12+21+3+10+28+28+7+7+13+3 = 183

Therefore, the Saints earned a total of 200 points, while the Cowboys earned a total of 183 points. Therefore, the Saints had the better overall record for the season.

To compare the central tendency of the points earned by each team, we can use either the mean or the median. However, in this case, the median is a better measure of center because it is less sensitive to extreme values than the mean.

Calculating the median for each team:

For the Saints:

Arrange the points earned in ascending order: 3 3 7 10 10 12 12 14 17 20 21 28 40

The median value is the middle value, which is 12.

For the Cowboys:

Arrange the points earned in ascending order: 3 3 6 7 8 10 10 12 13 21 24 28

The median value is the middle value, which is 10.

Therefore, the Cowboys have a median value of 10 points, while the Saints have a median value of 12 points. However, as we already determined, the Saints had a better overall record for the season based on the total points earned.

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Step-by-step explanation:

All three angels of a triangle have to sum to 180 degrees ....so there is only 90 degrees left for the other two  equal-sized angles (isosceles).....they must be 45° each

The solution to this given question should be -3/14. We can find it in the following manner.

−(14w+8)+8=3

-14w - 8 + 8 = 3

-14w = 3 (+8 and -8 get cancelled)

w = -3/14

This is how one can simplify the equation and solve for w.

None of the given options match the solution we obtained. Therefore, there may have been an error in the question or the answer choices.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

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Repeat this process for a large number of trials (e.g., 1000) and use the proportion of trials where all three-coin flips resulted in tails as an estimate of the probability that three randomly chosen people do not work out for the desired amount.

by the question.

To simulate this situation, you can use a set of three-coin flips, where heads represent the event that a person exercises for 30 minutes a day at least three times a week, and tails represent the event that a person does not exercise for that amount.

To simulate the first person, flip a coin once. If it lands heads, consider the person as exercising enough; otherwise, consider the person as not exercising enough.

Repeat this process for the second and third person as well, each time flipping the coin once to determine if the person exercises enough.

After the three-coin flips, count the number of times the coin landed tails, which represents the number of people who do not exercise for 30 minutes a day at least three times a week.

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The area of the shaded region is 19, which can be calculated by subtracting the unshaded region from the shaded region.

Area of the whole square= side *side

= 5*5

= 25

Area of the rectangle inside the square= lenght*breadth

=3*2

=6                                                                  

Now,

Area of the shaded region= Area of the square - Area of the rectangle

= 25-6

= 19.

The area of a square is the measure of the region enclosed by a square, and it is equal to the length of one side squared. The area of a rectangle is equal to its length multiplied by its width.

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If the car's wheels revolve 10,000 times without slipping, the car will travel approximately 9.92 miles.

The circumference of a circle (which is the distance around it) is given by the formula:

C = πd, where d is the diameter of the circle.

In this case, the diameter of the car's wheels is 20 in., so the circumference of each wheel is:

C = πd

C= π(20 in.) =

C = 20π in.

If the car's wheels revolve 10,000 times without slipping, then the total distance the car travels is:

distance = number of revolutions × circumference

distance = 10,000 × (20π in.)

To convert this distance to miles, we need to divide by the number of inches in a mile, which is 63,360 in.

distance = (10,000 × 20π in.) / 63,360 in./mi

distance = 9.92 miles

Therefore, distance traveled by the car is 9.92 miles.

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The perimeter of the quadrilateral GHJK is 24(1+√2) which can be by using the radius of the circle, 6cm.

Perimeter is the total length of the outside boundary of any two-dimensional shape. Perimeter is calculated by adding up the length of each side of a shape.

In order to calculate the perimeter of the quadrilateral, we need to first find the length of the sides.

We can do this by using the radius of the circle, r.

The side GH is equal to r+r=2r.

The side HK is equal to (r+r)√2=2r√2.

The side JK is equal to (r+r)√2=2r√2.

And the side GJ is equal to 2r.

Now that we have the lengths of the sides, we can calculate the perimeter of the quadrilateral.

The perimeter is equal to the sum of the four sides=

2r + 2r√2 + 2r√2 + 2r

= 4r+4r√2

= 4r(1+√2)

=4*6(1+√2)

=24(1+√2)

Therefore, the perimeter of the quadrilateral GHJK is 24(1+√2).

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The perimeter of the square GHJK is 48cm which can be by using the radius of the circle, 6cm.

Perimeter is the total length of the outside boundary of any two-dimensional shape. Perimeter is calculated by adding up the length of each side of a shape.

In order to calculate the perimeter of the quadrilateral, we need to first find the diameter of the circle.

We can do this by using the radius of the circle, r=6cm.

So, diameter= 2*6

=12cm

As the quadrilateral is enclosing the circle, it must be a square.

So, now the length of the sides of the square= diameter of the circle.

which is 12cm.

A square has  4 equal sides. Thus the perimeter of the quadrilateral which is a square

=4*12cm

=48cm

Therefore, the perimeter of the quadrilateral GHJK is 48cm.

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