Solve for c.

a(c + b)=d

Image Below

Answer:

A is the correct answer

Answer:

[tex]\displaystyle [6, -3][/tex]

Step-by-step explanation:

To begin this process, we will first select the second equation. Here is how the Substitution method wourks:

[tex]\displaystyle \left \{ {{3x + 5y = 3} \atop {x + 2y = 0}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {x = -2y}} \right. \\ \\ 3[-2y] + 5y = 3 \hookrightarrow -6y + 5y = 3 \hookrightarrow -y = 3; -3 = y, 6 = x \\ \\ \\ \boxed{[6, -3]}[/tex]

So, you substitute [tex]\displaystyle x[/tex]for [tex]\displaystyle -2y[/tex]and continue combining like-terms until you receive the y-value. You then plug this back into the system to get the x-value, which was what you saw.

I am joyous to assist you at any time.

Answer: b and d

Step-by-step explanation

Answer:

5 inches

Step-by-step explanation:

Rate: 3/4 in/hr

In 4 hours, the amount that burned is 4 hr * 3/4 in/hr = 3 in

Amount of candle left: 8 in - 3 in = 5 in

Answer: 5 inches

To solve this question, just divide.

49/60 = 0.81666666666

= 82%

Answer:

Crissy's percentage is 82% (81.67% rounded).

Step-by-step explanation:

1. 49 / 60 = 0.82 (0.81666 rounded)

2. 0.82 x 100

3. 82%

Answer:

Quadratic Function!

Answer:

Correct choice D. 2,500 square feet

Step-by-step explanation:

Area of a rectangle

The area of a rectangle of dimensions x, y is:

A=x.y

The diagram provided in the question is to a scale of 1 inch=16 ft.

We have provided a modified diagram where all the dimensions are also shown in ft.

The longer side of the shape is 4*16=64 ft

The smaller side of the shape is 3*16=48 ft

The bottom side of the store is 2 1/4*16=36 ft

The leftmost side of the store is 1 3/4*16=28 ft

We need to find the value of x and y.

The value of x is x=64 ft - 36 ft = 28 ft

The value of y is y=48 ft - 28 ft = 20 ft

The area of the whole rectangle of dimensions 48 ft and 64 ft is:

[tex]A1=48 ft * 64 ft = 3,072 \ ft^2[/tex]

The area of the small blue rectangle is:

[tex]A2=28 ft * 20 ft = 560\ ft^2[/tex]

The area of the store is:

[tex]As=A1-A2=3,072 \ ft^2- 560\ ft^2=2,512 \ ft^2[/tex]

Rounding to the nearest 50 square feet:

[tex]\boxed{As=2,500 \ ft^2}[/tex]

Correct choice D. 2,500 square feet

Answer:

64.8 km would be the diameter of the figure.

8√6 = √64 x √6 = √(64x6) = √384

Answer:

D

Step-by-step explanation:

[tex] \sqrt{14 } = cannot \: be simplified \: further[/tex]

[tex] \sqrt{48} = \sqrt{16} \sqrt{3 } = 4 \sqrt{3} [/tex]

[tex] \sqrt{96} = \sqrt{16} \sqrt{6} = 4 \sqrt{6} [/tex]

[tex] \sqrt{384} = \sqrt{64} \sqrt{6} = 8 \sqrt{6} [/tex]

Answer:

(

h

∘

f

∘

g

)

(

x

)

is known as a composite function. Here's how composite functions work:

let's say that  

x

=

1

. Your function  

g

(

x

)

=

1

3

(

x

)

now produces a  

y

output of  

1

3

, since  

g

(

1

)

=

1

3

(

1

)

. Within a composite function, the y-value of one function becomes the x-value of the next, like so:

g

(

1

)

=

1

3

⇒

f

(

1

3

)

=

17

3

⇒

h

(

17

3

)

=

17

Therefore,

(

h

∘

f

∘

g

)

(

1

)

=

17

Based on this, to find the function for  

(

h

∘

f

∘

g

)

(

x

)

(combined from right to left, by the way), simply replace  

x

in  

f

(

x

)

with the function  

g

(

x

)

, and replace  

x

in  

h

(

x

)

with the function of  

(

f

∘

g

)

(

x

)

, to get  

(

h

∘

f

∘

g

)

(

x

)

.

This, simplified, is equal to  

2

x

+

15

, and therefore  

(

h

∘

f

∘

g

)

(

1

)

=

2

(

1

)

+

15

=

17

Hope that helps!

Wavelength is the ratio of speed and frequency. The wavelength of yellow light is 5.8 × 10⁻⁷ m. Then the correct option is A.

The division means the separation of something into different parts, sharing of something among different people, places, etc.

Yellow light has a frequency of 5.2 × 1014 Hz and travels at a speed of 3.0 × 108 m/s. Then the wavelength is given as

[tex]\lambda = \dfrac{v}{f}\\\\\\\lambda = \dfrac{3.0 \times 10^8}{5.2 \times 10^{14}}\\\\\\\lambda = 5.76\times 10 ^{-7} \approx 5.8 \times 10 ^{-7}[/tex]

More about the division link is given below.

https://brainly.com/question/369266

Answer:

A

Step-by-step explanation:

Answer:

The answer is D. ([tex]4x^{2} +5x-6[/tex])

Step-by-step explanation:

An easy way to figure out the answer fast is to plug the x values into the equation.

Answer:

∠a= 65°, ∠b= 115°, ∠c= 25°

Step-by-step explanation:

The sum of the angles in a triangle is 180°. This is abbreviated to '∠ sum of ∆'.

∠c +55° +60° +40°= 180° (∠ sum of ∆PQR)

∠c +155°= 180°

∠c= 180° -155°

∠c= 25°

∠a +60° +55°= 180° (∠ sum of ∆PQS)

∠a +115°= 180°

∠a= 180° -115°

∠a= 65°

The sum of the angles on a straight line is 180°. It's abbreviation is 'adj. ∠s on a str. line'.

∠b +∠a= 180° (adj. ∠s on a str. line)

∠b +65°= 180°

∠b= 180° -65°

∠b= 115°

Answer:

99 customers.

Step-by-step explanation:

Ok so

14 hours = 840 minutes

Each customer requires 8 and a half minutes

8 minutes (to proceed through the line)

and

30 seconds (the interval time in between to get to another customer)

840 minutes ÷ 8.5 = 98.8..

Therefore, you can approximately serve 99 customers in 14 hours.

I didn't simply round that up, but the last customer does not need the 30 seconds of interval so therefore, you would get to serve 99 customers in 14 hours anyway.

The equation that represents the basketball team raising money is a linear equation

The equation that represents the total amount raised is 10x + 15y = 3050

From the question, we have the following parameters

A linear equation is represented as;

Ax + By = C

So, the equation that represents the total amount raised would be 10x + 15y = 3050

Hence, the equation that represents the total amount raised is 10x + 15y = 3050

Read more about linear equation at:

https://brainly.com/question/14323743

Answer:

[tex]R=145^o[/tex]

Step-by-step explanation:

Label the triangle (Best for organization)

Longest side of the triangle is called the Hypotenuse, or Hyp.

Shortest side of the triangle is called the Opposite, or Opp.

Last side of the triangle is called the Adjacent, or Adj.

Formula

[tex]sin[/tex] x*=[tex]\frac{Opp}{Hyp}[/tex]

Find the inverse (value for "?")

sin x*=17/30

x*=[tex]sin^{-1}[/tex][tex](\frac{17}{30} )[/tex]

34.5*-->35*

?=35*

Triangle interior angles amount in 180 degrees

180-(35+33)=112*

Exterior angle equals the two opposite interior angles (aka/ defined as the Exterior Angle Theorem)

R=33*+112*

R=145*

Step-by-step explanation:

for the (a) put 6 in for x in h(x)=x/3

which looks like this...

h(6)=6/3 so, h=2

not put 2 in for x in g(x)=√3

which would end up as...

g(x)=√3 since there is no x in the equation

now finally put √3 in for x in f(x)=x^3

so, f(√3)= √3^3

which is... f(x)= 3√3

[Answer] a= 3√3

Now you should be able to solve the other ones if you need help message below

Please rate and mark me the brainliest!! I hope this helps!!

Answer:

Answer= 7

Step-by-step explanation:

the unknown number being, x, .

i think of a number ( x), double it, ( 2× x)= 2x, and add 11 to be ( 2x + 11), i get 25.

So, the equation will be:

2x + 11 = 25.

to solve it, take (+11) to the equals side and it will change to (-11), or in other words, subtract 11 on both sides.

the equation will thus remain to be:

2x = 25-11

2x = 14.................Divide both sides by 2 to remain with x

so, X = 7.

Answer:

60 x 4 = 240 times

Step-by-step explanation:    

In every hour there are 60 minutes.

That means for every hour the minute hand moves 60 times

Take the amount of hours and times it by 60 ( Hours x 60 )

The minute hand of the clock completes 4 rotations as it moves from 12:00 noon to 4:00 p.m

In a clock there are second hand, minute hand and hour hand, all rotates anticlockwise. If the minute hand come at the same place after start rotating from that place , then the rotation is called one complete rotation.

Since 1 complete rotation of a minute hand takes 60 minutes, which is one hour.

Therefore, In one hour the minute hand completes one rotation.

Thus, after first complete rotation of minute hand the time will be 1:00 p.m.

After two complete rotation of minute hand the time will be 2:00 p.m.

After three complete rotation of  minute hand the time will be 3:00 p.m.

Similarly, after four complete rotation of minute hand the time will be 4:00 p.m.

Hence it takes 4 complete rotation of a minute hand to moves from 12:00 noon to 4:00 p.m.

To learn more about rotations click here:

https://brainly.com/question/27037238

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Answer:

to compare them, you have to get the same denominator. So you change the denominator to 24 by multipling 7/12 by 2, and 5/8 by 3. Then you have 14/24 and 15/24. This means that 5/8 is greater than 7/12

Step-by-step explanation:

Hope this helps. If you want, please mark me as brainliest

Answer: Please mark me brainlest 15

24

>

14

24

or

5

8

>

7

12

Step-by-step explanation:

Find the least common denominator or LCM of the two denominators:

LCM of 8 and 12 is 24

For the 1st fraction, since 8 × 3 = 24,

5

8

=

5 × 3

8 × 3

=

15

24

Likewise, for the 2nd fraction, since 12 × 2 = 24,

7

12

=

7 × 2

12 × 2

=

14

24

Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction

Answer:

20>x-7>10

hope it will help you

When there is a recession, the employees will have to с learn new skills or face unemployment.

Recessions are a period of low business productivity which means that jobs would become very competitive.

An employee should therefore learn new skills that will make them more attractive in the market or they will probably end up unemployed.

Find out more on recessions and unemployment at https://brainly.com/question/1286306.

#SPJ1

Answer:

Step-by-step explanation:

The vertex is at x=0, so you can eliminate c and d.

To check if its a or b, you can notice that since it opens down, the coefficient of |x| must be negative, making it a.

Answer: 118

Step-by-step explanation:

The measures must add to 180, so 180-62=118

Answer:

sumala nimo tiguwang naman ka

Answer:

Family One:

$8x6= $48

$70-$48= $22

$22 ÷ 2 = $11

48+22= 70

Family Two:

$8x3= 24

$11x4= 44

44+24 =68

Family Two is not $59 so A isn't correct

Family One:

$9x6= $54

$70-$54= $16

$16÷2= 8

$54+$16= $70

Family Two:

$9x3=$27

$8x4= $32

$32+$27 =$59

These numbers match up to the ticket prices- therefore the answer is B. Adults tickets = $9