You bought a magazine for $2 and three candy bars. You spent a total of $11. How much did each candy bar cost?

Area of a rectangle  =  length x height

Area = 135

Height = X

Lenght = x +6

135 = x * x+6

Simplify:

135 = x^2 +6x

Subtract 135 from both sides:

x^2 + 6x - 135 = 0

Solve:

2 numbers when added need to equal 6 and when multiplied equal -135

x = 9 and x = -15

The height can't be a negative number so the height is 9

Length =  9 +6 = 15

Height = 9cm, Length = 15 cm

Answer:

Step-by-step explanation:

First of all cross multiply

That's

Next divide both sides by - 1 to make x positive and change the sign from < to >

That's

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

1/4x + 1/2x + 1/4x = 360

4(2/4x + 1/2x = 360)

2x + 2x = 1440

4x = 1440

x = 360

1/4(360)= 90 Clermonth

1/2(360)=  180 Central

1/4(360)= 90 other schools

Hey There!! ~

The answer to this is: the upper bound for the length is [tex]21.5cm.[/tex] Lower and Upper Bounds

The lower bound is the smallest value that will round up to the approximate value.

The upper bound is the smallest value that will round up to the next approximate value.

Ex:- a mass of 70 kg, rounded to the nearest 10 kg, The upper bound is 75 kg, because 75 kg is the smallest mass that would round up to 80kg.

Here , A length is measured as 21cm correct to 2 significant figures. We need to find what is the upper bound for the length . let's find out:

As discussed above , upper bound for any number will be the smallest value in decimals which will round up to next integer value . So , for 21 :

⇒  [tex]21.5cm.[/tex]

21.5 cm on rounding off will give 22 cm . So , the upper bound for the length is [tex]21.5cm.[/tex]

Hope It Helped!~

[tex]ItsNobody[/tex]~

Answer:

[tex] \boxed{ \bold{ {\boxed{ \sf{6 {c}^{2} {d}^{2} + 2 {c}^{2} d + cd}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{4 {c}^{2} d + 3dc - 2(d {c}^{2} + cd) + 6 {c}^{2} {d}^{2} }[/tex]

Distribute 2 through the parentheses

[tex] \dashrightarrow{ \sf{4 {c}^{2} d + 3dc - 2d {c}^{2} - 2cd + 6 {c}^{2} {d}^{2} }}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{6 {c}^{2} {d}^{2} + 4 {c}^{2} d - 2d {c}^{2} + 3dc - 2cd}}[/tex]

[tex] \dashrightarrow{ \sf{6 {c}^{2} {d}^{2} + 2 {c}^{2}d + cd }}[/tex]

Hope I helped !

Best regards! :D

the answer is a on engenuity

Answer:

1.166 per 1000 of population

Step-by-step explanation:

Given the following :

Newly recorded cases of invasive cervical cancer = 723

Period of time = 1975 - 1984 ( inclusive)

Estimated average Population of white women in the area at the time = 620,000

Average annual. Incidence rate invasive of cervical cancer in the population.

Incidence rate = (new cases / total population) × 10^n

Incidence rate = (723/620000) × 10^n

= 0.0011661

= 1.166 per 1000 of population

Answer:

19

Step-by-step explanation:

So we have the function:

[tex]f(x)=40+4x+x^2[/tex]

And we want to find the slope of the chord that connects the points (5,f(5)) and (5+Δx, f(5+Δx)).

So first, find the two points.

1) (5,f(5))

Substitute in 5 for x:

[tex]f(x)=40+4x+x^2\\f(5)=40+4(5)+(5)^2[/tex]

Square and multiply:

[tex]f(5)=40+20+25[/tex]

Add:

[tex]f(5)=85[/tex]

So, our first point is (5,85)

2) (5+Δx, f(5+Δx))

Remove the Δx by substituting it with 5. Thus:

[tex](5+\Delta x,f(5+\Delta x))=(5+5,f(5+5))=(10,f(10))[/tex]

Now, substitute in 10 for x. Thus:

[tex]f(10)=40+4(10)+(10)^2[/tex]

Square and multiply:

[tex]f(10)=40+40+100[/tex]

Add:

[tex]f(10)=180[/tex]

So our second point is (10,180).

Now, just find the slope between (5,85) and (10,180) using the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (5,85) be x₁ and y₁ and let (10,180) be x₂ and y₂. Substitute:

[tex]m=\frac{180-85}{10-5}[/tex]

Subtract:

[tex]m=\frac{95}{5}[/tex]

Divide:

[tex]m=19[/tex]

So, the slope that connects the chord is 19.

And we are done :)

Answer:

  86°

Step-by-step explanation:

If you draw a line segment AC, it forms the rest of right triangle ACB with the right angle at C. Then angle BAC is the complement of the given angle:

  ∠BAC = 90° -47° = 43°

The inscribed angle BAC intercepts arc BC, so the arc measure will be double the angle measure.

  arc BC = 2·43° = 86°

__

Another way to get there is to realize that arc BCA is 180°, because AB is a diameter. As above, arc AC will be double the measure of inscribed angle ABC, so arc AC has measure 94°.

  arc BC = arc ACB - arc AC

  arc BC = 180° -94°

  arc BC = 86°

The answer is 100,000.

Steps to solve:

g() = 3.46 - 8?

~Subtract

g() = -4.54

Best of Luck!

Answer: [tex]x>-28[/tex]

Simplify both sides of the inequality

[tex]1/4x<7[/tex]

Multiply both sides by 4/-1

[tex](4/-1)*(-1/4x)<(4/-1)*(7)\\x<-28[/tex]

Answer:c

Step-by-step explanation:

cccccccccc

Answer:

4 cups

Step-by-step explanation:

Answer: 5 feet

Step-by-step explanation: To find the width of the rectangle,

start with the formula for the perimeter, shown below.

Perimeter = 2l + 2w

Since we know the perimeter is 36 and the

length is 13, we have 36 = 2(13) + 2w.

Simplifying on the right, we have 36 = 26 + 2w.

Not subtract 26 from both sides to get 10 = 2w.

Now divide both sides by 2 and 5 = w.

So the with is 5 feet.

Answer:

1 yard per hour

Step-by-step explanation:

3 feet=1 yard

Answer:

520 feet

Step-by-step explanation:

The easiest way to visualize this problem is to sketch a quick diagram.

For this problem, you are given an angle and the length of the side of a triangle. If you look at the diagram, you'll see that the length given is the opposite side of the angle given. For this situation, that means you will use the sine function (refer to SOH-CAH-TOA acronym). Then you plug in the given values and solve for x.

Hope this helps!

Answer:

9 miles

Step-by-step explanation:

First 3 miles 10$

Every additional miles 4$

So 34$ minus 10$ is 24$

24$ divided by 4$ and that is 6 miles

6 + 3 is 9 miles

Answer:

718

Step-by-step explanation:

just add the two numbers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{718}}}}}[/tex]

Step-by-step explanation:

( see attached picture )

Hope I helped!

Best regards!

Answer:

Answer:

y=-1/4, 2.

Step-by-step explanation:

4y^2=7y+2

4y^2-7y-2=0

factor,

(4y+1)(y-2)=0

zero property,

4y+1=0, y-2=0,

4y=0-1=-1,

y=-1/4,

y=0+2=2.

Answer:

Please find the answer in the explanation

Step-by-step explanation:

RULER

measurements taken by ruler can be limited due to absolute errors, zero error and uncertainties.

1.) If the end of the ruler is worn out giving rise to a zero error

2.) The calibration of the ruler may give rise to another systematic error if the makings are incorrect.

3.) If the object to be measured is not on the same level as graduated surface of the ruler, the angle at which the scale is viewed will affect the result. This is known as parallax error.

SCALE

Systematic error can occur in a scale when the scale is wrongly calibrated.

Also, reading a scale from different angles introduces a variable parallax error.

random uncertainty could be a parallax error caused by taking readings from different angles. This can be reduced by the use of a mirror behind the scale and viewing normally.

Answer:

Step-by-step explanation:

Grocery Store

12 mi / 3 cm = x / 2.5 cm            Cross multiply

12 * 2.5 = 3 * x                             Multiply

30 = 3x                                        Divide by 3

30/3 = x

x = 10 miles

Library

12 mi / 2 cm = x / 1.5                  Cross multiply

12 * 1.5 = 2x

18 = 2x                                        Divide by 2

18/2 = x

9 miles

The library is closer than the grocery store.

Answer:  6) 35 meters        7) Ф = 10°

Step-by-step explanation:

[tex]6.\quad \tan\ 68^o=\dfrac{x}{14.3}\\\\\\.\quad 14.3 \tan\ 68^o=x\\\\.\quad 35\ meters =x[/tex]

[tex]7.\quad \sin \theta =\dfrac{0.7}{4.2}\\\\\\.\qquad \quad \theta=\sin ^{-1}\bigg(\dfrac{1}{6}\bigg)\\\\\\,\qquad \quad \theta =10^o[/tex]

Question 6:

tan 68 = x/14.3

14.3tan(68) = x

35m = x

Question 7:

sinθ = 0.7/4.2

θ = sin^-1(1/6)

θ = 10

Best of Luck!

Answer:

x = 16

Step-by-step explanation:

x - 12 = 4

 + 12 = +12

x = 16

Answer:

16

Step-by-step explanation:

Answer:

f(-2)= 0

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

C

Step-by-step explanation:

There was this saying they told me for rounding things. 5 or more, let it soar. 4 or less, let it rest. 9 is greater than or equal to 5, meaning that the digit in the hundredths place will increase by one.

Answer: The filled out table is shown below in the attached image

===========================================================

Explanation:

The letters A through J are one way to fill out the table. Though there are other possible orders.

Start at letter A, which is from the fact we have 40 people total

Then move to letter B. This is the total number who like pasta (26)

We have C = A-B = 40-26 = 14 people who don't like pasta

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

Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.

F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.

Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.

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

So we have these values

Answer:

[tex]A=\frac{Y+8}{B}[/tex]

Step-by-step explanation:

So we have:

[tex]Y=AB-8\\[/tex]

First, add 8 to both sides. The right will cancel:

[tex]Y+8=AB[/tex]

Now, notice that A is multiplied to B. So, the isolate A, divide both sides by B. The right will cancel:

[tex]A=\frac{Y+8}{B}[/tex]

And we're done!

Answer:

your answer will be -120

Answer:

you're answer would be -120

Step-by-step explanation:

108/(-0.9)=(-120)

Answer:

Hey, I think you've done this already!

Step-by-step explanation:

Answer:

brainliest

Step-by-step explanation: