Use the quadratic formula to solve Round irrational solutions to the nearest tenth

[tex]3a + b = 7\Leftrightarrow 3(3a + b) = 3 \times 7\Leftrightarrow 9a + 3b = 21 \: (1)\\ 6x + 8y = 40\Leftrightarrow \frac{2(3x + 4y)}{2} = \frac{40}{2} \Leftrightarrow 3x + 4y = 20 \: (2) \\ (1),(2)\Rightarrow 9a + 3b > 3x + 4y[/tex]

[tex]\bf \begin{array}{lll|llll} 3a+b&=&7&&6x+8y&=&40\\&&&&&\\ 3(3a+b)&=&3(7)&&\frac{1}{2}(6x+8y)&=&\frac{1}{2}(40)\\&&&&&\\ 9a+3b&=&21&&\frac{6x}{2}+\frac{8y}{2}&=&\frac{40}{2}\\&&&&&\\ 9a+3b&=&21&&3x+4y&=&20 \end{array}\\\\ ~\hspace{7.5em}21>20[/tex]

Hello there!

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In this problem, it says the more it advertises, the more it sells. In this case then, C. Graph Z, would be your answer since it shows the increase of both

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I hope I helped

Brainlyiest?

X8lue83rryX

Answer:

The correct answer option is C. Graph Z.

Step-by-step explanation:

We are given that a cereal company finds that the more it spends on advertising, the more boxes of cereal it sells.

It means that the advertising is directly proportional to the number of boxes of cereal sold.

Therefore, the sales of the cereal company can be represented by graph Z where the value of y increases as the value of x increases.

Answer:

2929 feet away from the door

Step-by-step explanation:

Answer:

1. 24 in^2

2. 51 in^2

3. 286 cm^2

4. 90 m^2

5. 60 cm^2

6. 57.06 m^2

7. 185 ft^2

8. 13.5 in^2

9. 252 ft^2

10. I'm not quite sure how to do this one

11. 315 m^2

12. 322 ft^2

13. I cant see all of this one

14. 39 in^2

15. 100 in^2

16. 72.5 in^2

Some of the numbers were very blurry and did my best to make them out so If I got any of them wrong I apologize.

Answer:

im about a year and a half late but please give him brainliest

Step-by-step explanation:

Answer:

Caleb arrived first 2 hours before Alyssa

Step-by-step explanation:

To solve the situation, find the speed per hour they were driving by dividing the distance they drove by the time it took.

Alyssa drove 105 miles in 3.5 hours or 105/3.5 = 30 miles per hour.

Caleb drove 168 miles in 4 hours or 168/4 = 42 miles per hour.

Since they both left at the same time and drove the same 210 miles to the beach, Caleb arrived first since he was driving faster.

He arrived in 210/42 = 5 hours.

Alyssa arrived in 210/30 = 7 hours.

He arrived 2 hours before her.

Answer:

$613.35

Step-by-step explanation:

As 1.45% of employee's pay check goes to the Medicare, so

Total pay of Kasey in next year=$42300

Amount to be paid to medicare=1.45% of Kasey^' s pay

=42300*  1.45/100

=42300*  145/10000

=  6133500/10000

=613.35

Kasey will have to pay $613.35 to Medicare.  

Simplify brackets

2/5(x - 4) = 2x

Simplify 2/5(x - 4) to 2(x - 4)/5

2(x - 4)/5 = 2x

Multiply both sides by 5

2(x - 4) = 10x

Divide both sides by 2

x - 4 = 5x

Subtract x from both sides

-4 = 5x - x

Simplify 5x - x to 4x

-4 = 4x

Divide both sides by 4

-1 = x

Switch sides

x = -1

Answer: 5.89 cubic inches.

Step-by-step explanation:

you use the formula v=pi radius squared h/3

Answer:

5.9

Step-by-step explanation:

Answer:

A=777.54

Step-by-step explanation:

What you do is use the formula which is

a=2pirh+2pir^2.

The radius is half the diameter and the diameter is 15 so you take 15 and divide it by 2 to get 7.5.

The height is 9 m.

A=2(3.14)(7.5)(9)+2(3.14)(7.5)^2=777.54 m.

Answer:

 777.15 m^2

Step-by-step explanation:

To find the surface area of a cylinder

SA = 2 pi r h + 2 pi r^2

The area of the sides Plus the area of the top and bottom

We know the diameter is 15 so the radius  is 1/2 (15) = 7.5

SA = 2 * pi * (7.5) * 9 + 2  * pi * (7.5)^2

     = 135pi + 112.5pi

        247.5 pi

Approximating pi with 3.14

      247.5 (3.14)

     777.15 m^2

Answer:

The number is +1

Step-by-step explanation:

we have

[tex]y=-2(x+2)^2-1[/tex]

This is the equation of a vertical parabola with vertex at point (-2,-1)

The function has no real zeros

we know that

If the number +1 is added to the equation on the right side

then

[tex]y=-2(x+2)^2-1+1[/tex] -------> [tex]y=-2(x+2)^2[/tex]

Is a translation one unit up

The vertex of the parabola will be the point (-2,0) and the function will have one real root

see the attached figure to better understand the problem

Answer:

1

Step-by-step explanation:

➷ The formula for surface area of a cylinder is:

[tex]2\pi rh + 2\pi r^2[/tex]

The radius is half the diameter

radius = 40/2 = 20

Substitute the values in

Surface area = [tex]2\pi (20)(32) + 2\pi (20)^2[/tex]

Simplify to get an answer of:

surface area = [tex]2080\pi feet^2[/tex]

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

Answer:

[tex]x=14.5\degree[/tex] or [tex]x=165.5\degree[/tex]

Step-by-step explanation:

We want to solve the equation;

[tex]\sin x=\frac{1}{4}[/tex] on the interval [tex][0,360\degree][/tex]

The sine ratio is positive in the first and second quadrant.

We take the sine inverse of both sides of the equation to get;

[tex]x=\sin^{-1}(\frac{1}{4})[/tex]

[tex]x=14.5\degree[/tex]

This is the angle in the first quadrant.

In the second quadrant;

[tex]x=180-14.5[/tex]

[tex]x=165.5\degree[/tex]

Answer:

440,000

Step-by-step explanation:

435, the ten thousands place is the 2 place in the 435, so 5 rounds up, so 440 is what it round o, and everything else becomes 0.

435,098 rounded to the nearest ten thousand place is Option (E) 440,000.

Rounding off is the process used when a number is formed from the approximated value to tens, hundreds or thousands places. Rounding off is applied to a certain number to find the closest value after that number.

The number given is 435098.

Thus rounding off the number to nearest thousand will give us the closest value after that number in the thousand place of the digit of number.

Therefore from the Options given, the correct rounded off number is Option (E) 440,000.

To learn more about rounding off, refer -

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Answer:

The reduced paid up insurance value is $47,770 and the annual premium is $4,097

The reduced paid-up insurance value is $6,692.83.

The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would

We have,

To determine the reduced paid-up insurance value and the annual premium,

We need to use the information given and the following formulae:

The cash value of a policy is the amount of money that the policyholder would receive if they surrendered the policy before it matured.

The net amount at risk is the difference between the face value of the policy and the cash value.

The present value of a policy is the sum of the net amount at risk and the present value of the future premiums.

We are given that:

The policy is a 20-Year Endowment insurance policy, purchased when the policyholder was 40 years old.

The face value of the policy is $85,000.

The policyholder is now 50 years old.

The permanent insurance amount is $48.20 per thousand.

We need to determine the reduced paid-up insurance value and the annual premium.

We can use the following steps to determine the reduced paid-up insurance value and the annual premium:

Step 1: Calculate the cash value of the policy

The cash value of the policy can be calculated using the following formula:

Cash value = (Present value of future endowment benefits) - (Present value of future premiums)

We are given that the policy is a 20-Year Endowment policy, so the endowment benefit is $85,000. We can use the following formula to calculate the present value of the future endowment benefits:

Present value of endowment benefits = Endowment benefit / (1 + i)n

where i is the interest rate and n is the number of years.

Since the policyholder is 50 years old and the policy has 10 years left, we can assume an interest rate of 4% and calculate the present value of the endowment benefits as follows:

Present value of endowment benefits = $85,000 / (1 + 0.04)^10 = $48,598.20

We can calculate the present value of future premiums using the following formula:

Present value of future premiums = Net amount at risk / (Present value of an annuity due of $1 for n years, at i%)

where n is the number of years and i is the interest rate.

Since the policyholder has paid premiums for 10 years, there are 10 years left to pay. Using the same interest rate of 4%, we can calculate the present value of an annuity due of $1 for 10 years as follows:

Present value of an annuity due of $1 for 10 years, at 4% = 7.3601

We can now calculate the net amount at risk as follows:

Net amount at risk = Face value - Cash value

Face value = $85,000

Cash value = $48,598.20 + (Annual premium x Present value of an annuity due of $1 for 10 years, at 4%)

Net amount at risk = $85,000 - $48,598.20 - (Annual premium x 7.3601)

Step 2: Calculate the reduced paid-up insurance value

The reduced paid up insurance value is the amount of insurance that the policyholder can receive without paying any more premiums. It can be calculated as follows:

Reduced paid up insurance value = Cash value / Permanent insurance amount

Using the cash value calculated in Step 1 and the permanent insurance amount of $48.20 per thousand, we can calculate the reduced paid up insurance value as follows:

Reduced paid up insurance value.

= $48,598.20 / ($48.20 x 85)

= $6,692.83

Step 3: Calculate the annual premium

The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would

Thus,

The reduced paid-up insurance value is $6,692.83.

The annual premium for the reduced paid-up insurance is the amount of money that the policyholder would

Learn more about reduced paid-up insurance here:

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Answer:

Step-by-step explanation:

-3x - 3y = -30

-2x + 7y = -2

-3x - 3y = -30  /*(-2)

-2x + 7y = -2 /*3

6x + 6y = 60

-6x + 21y = -6

6x - 6x + 6y + 21y = 60  - 6

27y = 54

y = 2

-3x - 3y = -30

-3x - 3*2 = -30

-3x - 6 = -30

-3x = -30 + 6

-3x = - 24 / : (-3)

x = 8

Answer:

36

Step-by-step explanation:

since the .77 is larger than .5, you automatically round it up

Answer:

36

Step-by-step explanation:

The number 35.77 is closest to 36. It's all about the destimal, if we had 35.44 that's not above 50 so it would be 34. This would apply to any whole number.

[tex]\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=radius\\ \theta =angle~in\\ \qquad radians\\[-0.5em] \hrulefill\\ r=5\\ s=\frac{25\pi }{3} \end{cases}\implies \cfrac{25\pi }{3}=5\theta \implies \cfrac{25\pi }{15}=\theta \implies \cfrac{5\pi }{3}=\theta[/tex]

Answer:

30

Step-by-step explanation:

Answer:

-48x-96

Step-by-step explanation:

Split the angle using the sum and difference formulas and simplify.

2X - 8 is used to represent Eight less than the product of two and a number X. ​

To represent "Eight less than the product of two and a number X" as an expression, we can use the following equation:

2X - 8

In this expression, 2X represents the product of two and the number X, and subtracting 8 from it gives us "eight less than the product of two and a number X."

The product of two and the number X is obtained by multiplying 2 and X, which gives us 2X.

The expression "2X - 8" then subtracts 8 from the product 2X. This subtraction of 8 represents "eight less than" the product of two and a number X.

Read more on equations here https://brainly.com/question/2972832

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Answer:

Customer has bought too much sand

Step-by-step explanation:

Given that the dimensions (Length, Width and Height) of rectangular box are = 6,5, 1.2.

Volume of a rectangular box = Length * Width * Height

=> 6*5*1.2

=> 36 cubic feet

As mentioned, customer bought a sand box and 40 cubic feet of sand.

So,

Volume of rectangular box (R) = 36 cubic feet

Volume of Sand (S) = 40 cubic feet

From analysis

S > R

Which shows that the capacity of sandbox is 36 cubic feet and volume is 40 feet that is a little greater than desired capacity.

Therefore, customer has bought too much sand.

Answer : C: $125.

Hopefully that helps you ! have a good day !

Answer:

The area of the triangle is [tex]128.62\ cm^{2}[/tex]

Step-by-step explanation:

we know that

Applying the law of sines

The area of a triangle is equal to

[tex]A=\frac{1}{2}(a)(c)sin(B)[/tex]

substitute the values

[tex]A=\frac{1}{2}(12)(22)sin(103\°)[/tex]

[tex]A=128.62\ cm^{2}[/tex]

Answer:

90 cm^2

Step-by-step explanation:

The scale factor between triangle ABC and triangle PQR is 4:6 or  2:3

The scale factor is 2/3

When relating areas, we use the scale factor squared

Area of ABC = scale factor squared * Area of PQR

40 =  (2/3) ^2 Area of PQR

40  =4/9 Area of PQR

Multiply each side by 9/4

40 *9/4 = 9/4 *4/9 * Area of PQR

90 = Area of PQR

When we work with lengths of similar figures, we multiply by the scale factor.

When we work with areas of similar figures, we have a length and a width, so we are really multiplying by the scale factor two times, or the scale factor squared.

A = l*w

A = SF (l) * SF (w)

  = SF ^2 lw

So the area of the new  figure is the scale factor squared times the area of the old figure.

A new = SF^2 A old

To get from the old figure to the new figure we multiply by 6/4 or 3/2

A new =  (3/2)^2 (40)

A new = 9/4 * 40

           = 90

Answer:

    -4

   ------

     6

Step-by-step explanation:you go down 4 and across 6 so since you go down it is a negative by the way the answer on the top is a fraction.

I=-2,3

III= -1, 4

*I think sorry if it’s wrong*

Answer:

1) [tex]30\ in\ by\ 12\ in[/tex] --------> [tex]120\ in^{2}[/tex]

2) [tex]30\ in\ by\ 18\ in[/tex] --------> [tex]180\ in^{2}[/tex]

3) [tex]12\ in\ by\ 15\ in[/tex] --------> [tex]60\ in^{2}[/tex]

4) [tex]18\ in\ by\ 15\ in[/tex] --------> [tex]90\ in^{2}[/tex]

Step-by-step explanation:

Verify each case

case 1) [tex]30\ in\ by\ 12\ in[/tex]

Find the area with the original dimensions

[tex]A=30(12)=360\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]360/3=120\ in^{2}[/tex]

therefore

[tex]30\ in\ by\ 12\ in[/tex] --------> [tex]120\ in^{2}[/tex]

case 2) [tex]30\ in\ by\ 18\ in[/tex]

Find the area with the original dimensions

[tex]A=30(18)=540\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]540/3=180\ in^{2}[/tex]

therefore

[tex]30\ in\ by\ 18\ in[/tex] --------> [tex]180\ in^{2}[/tex]

case 3) [tex]12\ in\ by\ 15\ in[/tex]

Find the area with the original dimensions

[tex]A=12(15)=180\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]180/3=60\ in^{2}[/tex]

therefore

[tex]12\ in\ by\ 15\ in[/tex] --------> [tex]60\ in^{2}[/tex]

case 4) [tex]18\ in\ by\ 15\ in[/tex]

Find the area with the original dimensions

[tex]A=18(15)=270\ in^{2}[/tex]

Reduce the area of the poster by one-third

[tex]270/3=90\ in^{2}[/tex]

therefore

[tex]18\ in\ by\ 15\ in[/tex] --------> [tex]90\ in^{2}[/tex]

Answer:

To calculate the monthly accrued interest on a loan or investment, you first need to determine the monthly interest rate by dividing the annual interest rate by 12. Next, divide this amount by 100 to convert from a percentage to a decimal. For example, 1% becomes 0.01.

Step-by-step explanation:

Really hope i'm right

1st row

the first one is length less than 10

one next to it is width greater than 5

next to that is length greater than 10

2nd row

the first one is length greater than 10

one next to that is width less than 5

next to that is width greater than 5

3rd row

first one is width less than 5

and last is length less than 10

The correct answer is B.

Hope this helps.