The Adams family has 10 children. The ratio of boys to girls in the Adams family is 1:1. How many girls are in the Adams family?

Answer: x = 2y + 4

Step-by-step explanation:

y=1/2x-4

multiply both sides by 2

2y=x-4

substract from both sides 2y

0=x+–2y-4

substract from both sides x

-x=-2y-4

multiply both sides by -1 to get positive x

x=2y+4

Answer:

Step-by-step explanation:

let x represent the number

9x + 60 = 10x - 2

60 + 2 = 10x - 9x

62 = x <===

Answer:B. (3,4)

Step-by-step explanation:

because looking at the x-axis we see that the 3 is pointing to that point, and looking at the y-axis we can see that the 4 is pointing to the same point as the 3. Therefore the answer is B (3,4)

Answer:

(3,4)

Step-by-step explanation:

when looking at the x and y axis on the graph you see where the lines intersect. when on the x-axis at 3 you go up 4 times and on the y-axis 4 you go to the right 3 times showing both lines intersecting each other.  

took the quiz on edg :)

Answer:

Same side interior angles

They are also supplementary (add up to 180 deg)

Step-by-step explanation:

see attached

Answer:

Dimension= [tex](4\times 7)\ feet[/tex]

Step-by-step explanation:

Given: Area of Carport= 28 feet²

           The height of the carport is 1 feet less than 2 times its length.

Lets assume the length of Carport be "w"

∴ Height of carport= [tex](2w-1)\ feet[/tex]

We know, Area of rectangle= [tex]width\times length[/tex]

∴[tex]28= w\times (2w-1)[/tex]

Using distributive property of multiplication.

⇒ [tex]28= 2w^{2} -w[/tex]

Subtracting both side by 28.

⇒ [tex]2w^{2} -w-28= 0[/tex]

Using the quadratic formula to solve the equation.

⇒ [tex]2w^{2} -w-28= 0[/tex]. what are the values of w.

Solving by using quadratic formula.

Formula: [tex]\frac{-b\pm \sqrt{b^{2}-4(ac) } }{2a}[/tex]

∴ In the equation [tex]2w^{2} -w-28= 0[/tex] , we have a= 2, b= -1 and c= -28.

Now, subtituting the value in the formula.

= [tex]\frac{-(-1)\pm \sqrt{(-1)^{2}-4(2\times -28) } }{2\times 2}[/tex]

= [tex]\frac{1\pm \sqrt{1 - 4(-56) } }{4}[/tex]

Opening parenthesis.

= [tex]\frac{1\pm \sqrt{1+224 } }{4}[/tex]

= [tex]\frac{1\pm \sqrt{225}}{4}[/tex]

We know 15²=225

= [tex]\frac{1\pm \sqrt{15^{2}}}{4}[/tex]

we know √a²=a

= [tex]\frac{1\pm 15 }{4}[/tex]

Now we have two solution

= [tex]\frac{16}{4} \ or\ \frac{-14}{4}[/tex]

Ignoring negative base or width or carport

∴ w= [tex]\frac{16}{4} = 4[/tex]

Hence, Length of carport is 4 feet

next subtituting the value of length to get height of carport

Height of carport= [tex](2w-1)\ feet[/tex]

⇒ Height of carport= [tex](2\times 4-1)[/tex]

⇒ Height of carport= [tex]7\ feet[/tex]

Hence dimension of rectangular carport= [tex](4\times 7)\ feet[/tex]

Answer: D

Step-by-step explanation:

You have to multiply 2 times pi.

Answer: Infinitely many

Step-by-step explanation: 2(x-3)=10x-6-8x

2x-6=10x-6-8x

2x-6=2x-6

The correct answer is $71.

Mariah's monthly property insurance premium, given that her $75,000 wood house and $10,000 contents are situated in a rural area, would be approximately $71.67.

To calculate Mariah's monthly property insurance premium, we need to note that her house is made of wood and that she lives in a rural area. In the table, the annual premium per $100 coverage for a wood building in a rural area is 1.0 and for the contents, it is 1.1.

Following the steps below, we can calculate Mariah's monthly property insurance premium:

So, Mariah's monthly property insurance premium would be approximately $71.67.

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Answer:

[tex]y=-3x+7[/tex]

Step-by-step explanation:

The slope of the line passing through the points (3,-2) and (1,4) is

[tex]\dfrac{4-(-2)}{1-3}=\dfrac{4+2}{-2}=\dfrac{6}{-2}=-3[/tex]

Hence, the equation of the line is

[tex]y-(-2)=-3(x-3)[/tex]

Rewrite it:

[tex]y+2=-3x+9\\ \\y=-3x+9-2\\ \\y=-3x+7[/tex]

The last equation is the slope-intercept equation of linear function.

Answer:

-2x+4=-16

-2x = -16-4

-2x = -20

x = -20/-2

x = 10

To find the nth term in the following sequence we can use an = 6n-6 equation

Step-by-step explanation:

Answer:

(351.04, 368.96)

Step-by-step explanation:

Given that population mean= 360

Std devitaion = 4

margin of error = 2.5%= 0.025

Since population std deviation is known we can use Z critical value

For two tailed critical value for 2.5% would be

2.24

Margin of error = ±Critical value*std deviation

= ±2.24(4)

= ±8.96

Confidence interval =(Mean - margin of error, mean + margin of error)

=[tex](360-8.96, 360+8,.96)\\= (351.04, 368.96)[/tex]

Answer:

368 is the answer

Answer: 591

Step-by-step explanation:

1773/3= 591

The two numbers that add up to 83 with a difference of 7 are 45 and 38. We can find these numbers by setting up a system of linear equations and solving for each variable.

To find the two numbers where the sum is 83 and the difference is 7, we can set up two equations based on the information provided:

To solve the system of equations, we can use the method of addition. Add the two equations together to eliminate the variable y:

With the value of x known, you can substitute it into the first equation to find y:

Therefore, the two numbers are 45 and 38.

Answer:

Theres no tables but y=67x would be the equation

since 67 is the constant which =m in y=mx+b

Answer:

Solid / plane

Step-by-step explanation:

A cross-section is a geometric concept, representing the intersection of a solid and a plane. The shape of the cross-section depends on how the plane intersects with the solid. A related physics concept is the continuity equation which states that the amount of incompressible liquid entering a cross-sectional area must equal the amount leaving it.

In mathematical terms, a cross-section is usually the intersection of a 3-dimensional solid with a plane. This concept is often used in Geometry. For instance, if we intersect a cylinder with a plane perpendicular to the base of the cylinder, the cross-section will be a circle which is the same size as the base of the cylinder. On the other hand, if the plane is parallel to the axis of the cylinder, the cross-section would be a rectangle.

A related concept, from the field of Physics, as described in Figure 14.28, is the continuity equation, usually applied when analyzing fluid dynamics. The equation posits that the volume of fluid entering a cross-sectional area of a duct or pipe must equal the volume of fluid leaving it, assuming the fluid is incompressible. This is because the mass of liquid cannot change within a closed system.

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Answer:

7

Step-by-step explanation:

To solve this equation you have to use PEMDAS

Because of PEMDAS, we start with parenthesis.

4+27 ÷(4+5)= ?     4+5 = 9     4+27 ÷ 9 = ?

There are no exponents or multiplication so we skip to division.

4+27 ÷ 9 = ?   27 ÷ 9 = 3    4+3=?

Then we do addition

4+3 =7

The correct answer is 1/24

Fruit: apple, mango, orange, lime

Cup size: small, regular, large

Ice: cubed, crushed

If you count every variation you'll get to 24.

The chances are 1 in 24.

Answer:

i think its -412 but im not sure

Step-by-step explanation:

The value obtained by using the remainder theorem for the the  f(x)=2x5−3x4−9x3+8x2+2 at x=−3 will be 2x⁴-9x³+18x²-46x+138-(412)/(x+3).

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that,use the Remainder Theorem to evaluate f(x)=2x5−3x4−9x3+8x2+2 at x=−3

A method for Euclidean polynomial division is the remainder theorem. This theorem states that if we divide a polynomial, P(x), by a factor, (x - a), which isn't really an element of the polynomial, we get a smaller polynomial and a remainder.

[tex]=\frac{2x^5-3x^4-9x^3+8x^2+2}{\left(x+3\right)} \\\\ =2x^4+\frac{-9x^4-9x^3+8x^2+2}{x+3} \\\\ =2x^4-9x^3+18x^2+\frac{-46x^2+2}{x+3}\\\\ =2x^4-9x^3+18x^2-46x+\frac{138x+2}{x+3} \\\\ =2x^4-9x^3+18x^2-46x+138+\frac{-412}{x+3} \\\\ =2x^4-9x^3+18x^2-46x+138-\frac{412}{x+3}[/tex]

Thus, the value obtained by using the remainder theorem for the the  f(x)=2x5−3x4−9x3+8x2+2 at x=−3 will be 2x⁴-9x³+18x²-46x+138-(412)/(x+3).

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Answer:

An equation of a line perpendicular to ja and passing through k is:

y = -x + 10

Final answer:

The correct system of linear inequalities that models Kim's work situation is option B, which includes the inequalities x + y ≤ 15 and 5x + 7y ≥ 65. These inequalities account for the maximum hours she can work and the minimum income she wants to earn. The correct option is B.

Explanation:

The student is asking for the system of linear inequalities that models Kim's work situation based on the hours she can work at two different jobs with different hourly rates. To model this situation, we have two variables: x for the number of hours worked at the first job and y for the hours at the second job. The first inequality comes from the maximum hours she can work, which is 15. Therefore, the combined hours worked at both jobs cannot exceed 15, which gives us:

x + y ≤ 15

The second inequality is derived from Kim's target earnings, which is at least $65. So, the income from both jobs combined must be at least $65, which gives us:

5x + 7y ≥ 65

Taking into account the given options, the correct system of linear inequalities is represented by option B:

x + y ≤ 15

5x + 7y ≥ 65

Answer:

The friend was driving at the speed of 75 miles per hour.

Step-by-step explanation:

Given:

Philip got a ride with a friend from Denver to Las Vegas, a distance of 750 miles.

If the trip took 10 hours.

Now, to find the speed the friend was driving.

As, given:

Distance = 750 miles.

Time = 10 hours.

Now, to get the speed we put formula:

[tex]Speed=\frac{Distance}{Time}[/tex]

[tex]Speed=\frac{750}{10}[/tex]

[tex]Speed=75\ miles\ per\ hour.[/tex]

Therefore, the friend was driving at the speed of 75 miles per hour.

Answer:

A. 112 feet

B. 3 seconds

C. 256 feet

Step-by-step explanation:

The function [tex]d(t)=-16t^2+96t+112[/tex] describes the height of the quarter above the water.

When [tex]t=0,[/tex] then

[tex]d(0)=-16\cdot 0^2+96\cdot 0+112\\ \\d(0)=112\ feet[/tex]

Part A. The quarter was tossed from 112 feet.

Find the vertex of parabola represented by quadratic function d(t):

[tex]t_v=\dfrac{-b}{2a}=\dfrac{-96}{2\cdot (-16)}=3\\ \\d(t_v)=d(3)=-16\cdot 3^2+96\cdot 3+112\\ \\d(3)=-144+288+112\\ \\d(3)=256\ feet[/tex]

Hence,

Part B. It will take 3 seconds to reach the maximum height.

Part C. The maximum height is 256 feet

Final answer:

To find the probability of having 2, 3, or 4 successes in five trials where the probability of success is 40%, we calculate each scenario's probability using the binomial probability formula and sum them. The total probability is 65.3%, rounded to the nearest tenth of a percent.

Explanation:

To calculate the probability of having 2, 3, or 4 successes in five trials of a binomial experiment where the probability of success is 40%, we use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

P(X = k) is the probability of k successes in n trials

C(n, k) is the combination of n trials taken k at a time

p is the probability of success on an individual trial

(1-p) is the probability of failure on an individual trial

Let's calculate each probability:

P(X = 2) = C(5, 2) * 0.4² * 0.6³

P(X = 3) = C(5, 3) * 0.4³ * 0.6²

P(X = 4) = C(5, 4) * 0.4⁴ * 0.6¹

To find the total probability of having either 2, 3, or 4 successes (P(X = 2 or 3 or 4)), we add up these probabilities:

P(X = 2 or 3 or 4) = P(X = 2) + P(X = 3) + P(X = 4)

Let's use the combination formula to calculate these probabilities:

P(X = 2) = 10 * 0.4² * 0.6³ = 0.2304

P(X = 3) = 10 * 0.4³ * 0.6² = 0.3456

P(X = 4) = 5 * 0.4⁴ * 0.6 = 0.0768

Therefore:

P(X = 2 or 3 or 4) = 0.2304 + 0.3456 + 0.0768 = 0.6528 or 65.3% (rounded to the nearest tenth of a percent)

The solution is x = 11

Step-by-step explanation:

The original equation is

[tex]7(x+2)=91[/tex]

Lin uses the distributive property, which states that

[tex]a(x+y)=ax+ay[/tex]

By applying the property to this case,

[tex]7(x+2)=91\\7x+14=91[/tex]

Then we subtract 14 on both sides:

[tex]7x+14-14=91-14\\7x=77[/tex]

Finally, we divide by 7 on both sides:

[tex]\frac{7x}{7}=\frac{77}{7}\\x=11[/tex]

Noah starts by dividing each side by 7, so he gets

[tex]\frac{7(x+2)}{7}=\frac{91}{7}\\x+2=13[/tex]

Then he can subtract +2 from both sides:

[tex]x+2-2=13-2\\x=11[/tex]

So, they get the same result. The similarity between the two methods is that they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.

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Lin's solution method: 7x+14=91, 7x=77, x=11

Noah's solution method: x+2=13, x=11

Both methods involve dividing by 7, but Noah does the division first, while Lin does the division last. Also, Lin's method involves subtracting 14, while Noah's method involves subtracting 2. Both solutions are correct and valid. Noah's solution could be considered more efficient for this example, because it takes fewer steps and has equally complicated arithmetic work.

Answer:

6/19

Step-by-step explanation:

Sine 19 divided by 2 is 9.5 and 19 divided by 4 is 4.75, you can choose any number from 4.75 to 9.5.

The fraction which falls within the given range with a denominator of 19 is 5/19

Fraction between 1/2 and 1/4 which has a denominator of 19

1/2 = 0.5

1/4 = 0.25

We could use trial and error method :

2/19 = 0.1025

3/19 = 0.1578

4/19 = 0.210

5/19 = 0.263

6/19 = 0.315

7/19 = 0.368

8/19 = 0.421

9/19 = 0.474

10/19 = 0.526

From the values above, the fractions which fall in range are ;

Hence, any of the given fractions could be selected.

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Answer:

Step-by-step explanation:

3/2x - 14 - 2 = 0

3/2x - 12 = 0

3/2x = 12

2x = 36

x = 18

Answer:$8.50

Step-by-step explanation:

The answer would be. $8.50 per foot. $8.50 times 200 is $1700 plus the $500Company fee equals to $2200

Answer:

Step-by-step explanation:

y = 5x + 2.....so we will sub in 5x + 2 for y, back into the other equation

3x = -y + 10

3x = - (5x + 2) + 10

3x = -5x - 2 + 10

3x + 5x = 8

8x = 8

x = 8/8

x = 1

y = 5x + 2

y = 5(1) + 2

y = 5 + 2

y = 7

check it... (1,7)

3x = -y + 10                           y = 5x + 2

3(1) = -7 + 10                          7 = 5(1) + 2

3 = 3 (correct)                       7 = 7 (correct)

so ur solution is : x = 1 and y = 7...or (1,7) <=====

Answer:

(1,7)

Step-by-step explanation:

Since we know that y=5x+2, we replace y in the bottom equation with 5x+2.

3x=-(5x+2)+10

Then distribute the - into both of the parentheses (multiply both terms by -1):

3x=-5x-2+10

Then add like terms:

3x=-5x+8

Add 5x to both sides:

8x=8

Divide both sides by 8:

x=1

Plug the known x value into y=5x+2:

y=5(1)+2

Multiply:

y=5+2

Add:

y=7

Put values into (x,y) form:

(1,7)