Write the first step you would take to solve each equation.
2. -4x - 6= -10x

Answer:

(5,4)

Step-by-step explanation:

To solve a system of equations by substitution, you need to solve one of the equations for one variable (either x or y). In this case, we can solve the second equation for x: x=2y-3. Then substitute this expression into the first equation and solve for y: 5(2y-3)-y=21. Solving for y gives us y=4. Substitute this value back into the second equation and solve for x: x=2(4)-3=5. Therefore, the solution is (5,4).

yw;)

The area of the shape with parallel sides is 28 unit².

A trapezoid is a quadrilateral (has four sides and four angles) with two pairs of parallel sides. The area is given by:

A = (1/2) * (a + b)h

Where a, b is the length of the parallel sides and h is the height of the trapezoid.

Given that a = 8, b = 6 and h = 4, hence:

A = (1/2) * (8 + 6) * 4 = 28 unit²

The area of the shape with parallel sides is 28 unit².

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Answer:

28

Step-by-step explanation:

khan

Strategy

Area tells us the amount of space enclosed by the figure.

There are many ways we could split up the space into simpler shapes. Let's split the figure into two triangles.

We can find the area of each triangle, then add them to find the total area.

Hint #22 / 5

Area of the triangle on the left

The triangles have the same height.

\begin{aligned} \text{Area}_\text{triangle} &= \dfrac{1}{2} \cdot \text{base} \cdot \text{height}\\\\ &= \dfrac{1}{2} \cdot 6 \cdot 4\\\\ &= 12 \end{aligned}

Area

triangle

​

​

=

2

1

​

⋅base⋅height

=

2

1

​

⋅6⋅4

=12

​

The triangle on the left has an area of \blueE{12}12start color #0c7f99, 12, end color #0c7f99 square units.

Hint #33 / 5

Area of the triangle on the right

\begin{aligned} \text{Area}_\text{triangle} &= \dfrac{1}{2} \cdot \text{base} \cdot \text{height}\\\\ &= \dfrac{1}{2} \cdot 8 \cdot 4\\\\ &= 16 \end{aligned}

Area

triangle

​

​

=

2

1

​

⋅base⋅height

=

2

1

​

⋅8⋅4

=16

​

The triangle on the right has an area of \maroonD{16}16start color #ca337c, 16, end color #ca337c square units.

Hint #44 / 5

Total area

To find the total area of the shape, we can add the two partial areas.

\blueE{12}+\maroonD{16}=\purpleD{28}12+16=28start color #0c7f99, 12, end color #0c7f99, plus, start color #ca337c, 16, end color #ca337c, equals, start color #7854ab, 28, end color #7854ab

Hint #55 / 5

The area of the shape is 28 \text{ units}^228 units

2

28, start text, space, u, n, i, t, s, end text, squared.

Related content

Answer:

The amount of deposit required is R37,999  for both

The percentage of purchase price for the required deposit is 20%

Therefore, deposit required=20%*R189,995

                                              =R37,999

The balance owed is the outstanding balance after payment of deposit plus the interest, bearing in mind that interest is computed using the simple interest approach

I=PRT

balance after payment of deposit=R189,995-R37,999

                                                       =R151,996

R=13.5% per year

T=48 months and 54 months

Interest on 48 month option=151,996*13.5%*48/12

                                              = R82,077.84

Interest on 54 month option=151,996*13.5%*54/12

                                              = R 92,337.57

The total payment without the initial deposit is the outstanding balance after payment of deposit plus the interest

Total payment for 48 month option=R151,996+R 92,337.57

                                                          =R  244,333.57

Total payment for 54 month option=R151,996+R82,077.84

                                                          =R 234,073.84

                                              Hope it helped!

The required value of x is 22 degrees for the given figure.

Adjacent angles are a sort of additional angle. Adjacent angles share a common side and vertex, such as a corner point. Their points do not overlap in any manner.

As we know that supplementary angles are defined as when pairing of angles addition to 180° then they are called supplementary angles.:

According to the given figure, it can be written as follows:

2x + 24 + 6x - 20 = 180

8x + 4 = 180

8x = 180 - 4

8x = 176

x = 176/8

x = 22

Therefore, the required value of x is 22 degrees for the given figure.

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The complete question is as follows:

Find the value of x for the below figure.

(a) To determine if it is possible to prepare 21 goodie bags exactly, we need to check if 450 notebooks and 315 fridge stickers can be divided equally into 21 goodie bags without any leftovers.

To do this, we can use the greatest common divisor (GCD) of 450 and 315, which is 15. If the GCD is not 1, it means that the two numbers cannot be divided exactly, so it is not possible to prepare exactly 21 goodie bags with 450 notebooks and 315 fridge stickers.

(b) To find the largest number of goodie bags that can be prepared, we can use the least common multiple (LCM) of 450 and 315. The LCM is 990, which means that 990 notebooks and 990 fridge stickers can be divided into the same number of goodie bags without any leftovers. Therefore, the largest number of goodie bags that can be prepared is 990/450 = 990/315 = 2.

(c) Using the answer from (b), we can calculate how many notebooks and fridge stickers will be in a goodie bag. If we divide 990 by 2, we get 495. Therefore, there will be 495 notebooks and 495 fridge stickers in each goodie bag.

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Answer:

c)

Step-by-step explanation:

According to the question At least 16 days must pass before the class must repeat a seating arrangement.

To determine the number of days that must pass before the class must repeat a seating arrangement, we can consider the concept of permutations.

In the given scenario, there are 8 students and 8 desks, and we want to find out how many different seating arrangements are possible.

The first student can choose any of the 8 desks, the second student can choose any of the remaining 7 desks, the third student can choose any of the remaining 6 desks, and so on.

Therefore, the total number of seating arrangements is given by the product of the numbers from 8 down to 1, which can be calculated as 8 factorial (8!). Mathematically, it can be represented as:

\(\(8! = 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 = 40,320\)\)

So, there are 40,320 different seating arrangements possible.

Now, to find the number of days that must pass before the class must repeat a seating arrangement, we can use the concept of the pigeonhole principle. According to this principle, if we have more items (seating arrangements) than the number of containers (days), at least two items must occupy the same container.

Since there are 40,320 seating arrangements and we want to find the minimum number of days, we can use the formula for finding the minimum number of containers required for a given number of items:

\(\( \text{Minimum number of containers} = \lceil \log_2 (\text{number of items}) \rceil \)\)

Using this formula, we can calculate the minimum number of days required:

\(\( \text{Minimum number of days} = \lceil \log_2 (40,320) \rceil = 16 \)\)

Therefore, at least 16 days must pass before the class must repeat a seating arrangement.

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Answer:

144°

Step-by-step explanation:

m<1 =3x

m< 2= 12x

1&2 are supplementary angles, so

3x+12x= 180

15x=180

x= 12°

measure of angle 4 equals the measure of angle 2

because they're head opposite angles

m<4= 144°

Answer:

D. A Venn diagram allows you to compare and contrast all different aspects of two types of things and contrast them aswell.

Step-by-step explanation:

Answer:

water

Step-by-step explanation:

no solids have a definite shape and volume water has a definite volume but not shape gas has neither definite shape or volume.

this is it your welcome

Answer:

Hello Mate !

Ur ans is liquid

Step-by-step explanation:

It has a definite volume but not definite shape bcz it takes the shape of it's container.

No solids, liquid and gas they all are different from each other, each one has it's own characteristics and properties.

Hope it helps you, if yes then pls let me know

Stay safe, stay healthy and blessed.

Have a great day !

Thank you

Answer:

0

Step-by-step explanation:

Direction is defined as the path that something takes. North, south, east and west all are the direction. Up down, left and right are also used to represent the direction. Using the direction chart we get the equator is at 0 distance away from the location of kylie.

Given-

Kylie uses the number 400 to represent 400 miles north of the equator.

Kylie uses the number -2000 to show 2000 miles south of the equator.

What is the direction?

Direction is defined as the path that something takes. North, south, east and west all are the direction. Up down, left and right are also used to represent the direction.

As Kylie use the number 400 to represent 400 miles north of the equator. Thus if he need to back at 400 towards the south to reach back to the equator. Thus the equator is the point from where he has started and the equator is at 0 distance away from the location of kylie where he had started earlier.

Similarly Kylie uses the number -2000 to show 2000 miles south of the equator. Thus if he need to come back at 2000 towards the north to reach back to the equator. Thus the equator is the point from where he has started and the equator is at 0 distance away from the location of kylie where he had started earlier.

Hence both the statement suggest that the equator is at 0 distance away from the location of kylie where he had started earlier.

The length in centimeters of side OP is 8.

A triangle is a plane figure which is bounded by three straight sides, and has a sum of its internal angle to be 180^o.

Two or more triangles can be referred to as similar if the corresponding sides and measure of corresponding internal angles have some common properties on comparison.

Thus on comparing the corresponding sides of the two given similar triangles, we have;

JK/ ON = KL/ OP

2/ 4 = 4/ OP

2OP = 4*4

       = 16

OP = 16/ 2

     = 8

OP = 8 cm

Therefore, the length of side OP is 8 cm.

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On May 21 there will be approximately 728,500 nothing mosquitoes.

In Mathematics, an exponential function can be modeled by using this mathematical expression:

f(x) = ab^x

Where:

Based on the information provided above, an exponential function which models the situation is given by:

y​ = 200,000(1.09)^x

For the time between May 7 and May 21, we have:

Time = May 7 to May 21 = 15 days.

Substituting the given parameters into the exponential function formula, we have;

y​ = 200,000(1.09)^15

y​ = 200,000(3.6425)

y = 728,500 mosquitoes.

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Answer:

-36

Step-by-step explanation:

-3 ×12=--36

Two Spiteful Uncles Walking to the Beat

A Short Story

by Grim

Lee Changseon had always loved deprived Falmouth with its magnificent, mutated mountains. It was a place where he felt delighted.

He was a down to earth, splendid, squash drinker with ruddy eyes and handsome ankle. His friends saw him as a bad, breakable barndon harera. Once, he had even helped a silky chicken cross the road. That's the sort of man he was.

Lee walked over to the window and reflected on his creepy surroundings. The snow flurried like thinking puppies.

Then he saw something in the distance, or rather someone. It was the figure of Morwenna Thornton. Morwenna was a sympathetic friend with skinny eyes and tall ankle.

Lee gulped. He was not prepared for Morwenna.

As Lee stepped outside and Morwenna came closer, he could see the squashed smile on her face.

Morwenna gazed with the affection of 747 sinister ordinary owls. She said, in hushed tones, "I love you and I want Internet access."

Lee looked back, even more sneezy and still fingering the cursed gun. "Morwenna, I just don't need you in my life any more," he replied.

They looked at each other with ecstatic feelings, like two hurt, handsome horses drinking at a very brutal snow storm, which had piano music playing in the background and two spiteful uncles walking to the beat.

Lee regarded Morwenna's skinny eyes and tall ankle. "I feel the same way!" revealed Lee with a delighted grin.

Morwenna looked jumpy, her emotions blushing like a narrow, nosy newspaper.

Then Morwenna came inside for a nice beaker of squash.

THE END lol

Answer:

(4 ± 2\(\sqrt{22} \)) ÷ 4

Step-by-step explanation:

i changed equation to be 2x² - 4x - 9 = 0

i used the quadratic formula:  (-b ± \(\sqrt{b^2-4ac} \)) ÷ 2a

where:

a = 2

b = -4

c = -9

Answer:

1) The correct option is;

b. Reflection over the y-axis

2) The correct option is;

a. Dilation by a scale factor of 1/2

Step-by-step explanation:

1) The rule for reflection over the y-axis is given as follows;

Given the point of the preimage before the reflection = (x, y), the point of the image after the reflection will be (-x, y)

The coordinate of a point on T1 is (-2, 4). The coordinate of similar point in T2 is (2, 4) which satisfies the rule for reflection over the y-axis

2) The length of a side in triangle T2 is given by the formula for finding the length, l, of segments between coordinate points as follows;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Point 1, (x₁, y₁) = (2, 4)

Point 2, (x₂, y₂) = (6, 2)

The length = √((2 - 4)² + (6 - 2)²) = 2·√5

The length of the corresponding side in T3 is given as follows;

Point 1, (x₁, y₁) = (1, 2)

Point 2, (x₂, y₂) = (3, 1)

The length = √((1 - 2)² + (3 - 1)²) = √5

The length of of a side T3 = 1/2 of the length of a side of T2

Therefore. triangle T2 is transformed into triangle T3 by dilation with a scale factor of 1/2.

Answer:

The average monthly payment would be most affected by Mark's observation of one significantly lower payment. The reason is that the average is calculated by summing all the payments and dividing by the total number of payments, so any extreme values (such as the significantly lower payment) can have a substantial impact on the average value.

Step-by-step explanation:

The rate of constant for the above-given first-order reaction is b.) 8.77 × 10–3 h–1.

The half-life of a first-order reaction can be calculated using the equation t1/2 = ln(2)/k, where t1/2 is the half-life and k is the rate constant.

In this case, we know that the reaction goes to half completion in 79 hours. Therefore, the half-life is also 79 hours.

Plugging this into the equation, we get:

79 = ln(2)/k

Solving for k, we get:

k = ln(2)/79

Using a calculator, we can evaluate this expression to get:

k = 8.77 × 10–3 h–1

Therefore, the correct answer is b) 8.77 × 10–3 h–1.

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Answer:

Whats the question. I think I can help if there is a picture or if there are more words

The equation of the line passing through (8,16) and the slope of 3 will be y = 3x - 8. The correct option is C.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

When the values of the coordinate (8,16) are substituted in the equation the equation will satisfy the points.

y = 3x - 8

16 = ( 3 x 8 ) -b 8

16 = 24 - 8

16 = 16

Therefore, the equation of the line passing through (8,16) and the slope of 3 will be y = 3x - 8. The correct option is C.

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Answer:

Step-by-step explanation:

45

Answer:

They both paid the same

Step-by-step explanation:

7.5  5 = 1.5

15  10 = 1.5

So, they both paid the same amount of $1.50 per pound

hope this helps

Answer:

C. x>3

Step-by-step explanation:

less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠)

Since the symbol is greater than, we use >  and you just pretend the symbol > is like an arrow pointing toward the right like this ------>

and greater than and less than are open circles, while greater than or equal to and less than or equal to are closed circles

look at the picture

A dilation or combination of stiff movements and dilations constitutes a similarity transformation.

Similar figures don't always have to have the same size but share the same form.

A transition called a dilation keeps shape but not size. So a dilatation is a motion that is not rigid. A dilation or combination of stiff movements and dilations constitutes a similarity transformation. If and only if a similarity transformation translates one of the geometric figures onto the other, then two figures are said to be similar. Similar figures don't always have to have the same size but share the same form.

Similarity transformations include translation, reflection, rotation, and dilation. Rotation, reflection, and translation retain both size and form since they are rigid movements, whereas dilation just makes sure that the shape is preserved.

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Answer     You never been with no one as nasty as me

Spice up your life, come get a freak (do do do do do do do)

Freak like me

Step-by-step explanation:

Im not a fan of Doja Cat, but is it that weird cow one? Sorry if Im wrong! ^^

the probability of rolling an odd number or rolling a 2 is 2/3

The probability of rolling an even number or a 4 is 2/3

Probability is a mathematical concept that measures the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 means an event is impossible and 1 means an event is certain to occur. The probability of an event can also be expressed as a percentage or as a fraction.

If you roll a six-sided die. The probability of rolling 1, 2, 3, 4, 5 and 6 are as follows:

P (1) = 1/6

P (2) = 1/6

P (3) = 1/6

P (4) = 1/6

P (5) = 1/6

P (6) = 1/6

a. Since there are three odd numbers, P(odd) = 3/6 = 1/2

Thus, the probability of rolling an odd number or rolling a 2 will be:

P(odd or 2) = P(odd) + P(2)

                  = 1/2 + 1/6 = 2/3

b. Since there are three even numbers, P(even) = 3/6 = 1/2

Thus, the probability of rolling an even number or a 4 will be:

P(even or 4) = P(even) + P(4)

                  = 1/2 + 1/6 = 2/3

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Mean of the distribution of sample mean differences (men bpm - women bpm) is -4.3.

The mean of the distribution of sample mean differences (men bpm - women bpm) can be calculated using the formula:

mean difference = mean men bpm - mean women bpm

From the given information, we know that the mean men bpm is 82.8 and the mean women bpm is 87.1. Thus, the mean difference can be calculated as:

mean difference = 82.8 - 87.1
mean difference = -4.3

Therefore, the mean of the distribution of sample mean differences (men bpm - women bpm) is -4.3.

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