Solve the pair of simultaneous equations and leave the answer as a fraction in

its lowest term. 2x − 3 = y, x+ y= 8​

Answer:

c = 4, d = - 1

Step-by-step explanation:

Expand and simplify left side, then compare coefficients of like terms on the right side, that is

3(2x + d) + c(x + 5) ← distribute parenthesis

6x + 3d + cx + 5c

= x(6 + c) + 3d + 5c

Compare terms with those on the right side

coefficients of x- terms

6 + c = 10 ( subtract 6 from both sides )

c = 4

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

constant terms

3d + 5c = 17, that is

3d + 5(4) = 17

3d + 20 = 17 ( subtract 20 from both sides )

3d = - 3 ( divide both sides by 3 )

d = - 1

The value of c and d if 3(2x+d)+c(x+5)=10x+17  is 4 and -1 respectively

Given the equation:

3(2x+d)+c(x+5)=10x+17

Expand the bracket

6x + 3d + cx + 5c = 10x + 17

Collect the like terms

6x+cx + 3d + 5c = 10x + 17

x(6+c) + 3d + 5c = 10x + 17

Compare the coefficients of x on both sides

x(6+c) = 10x

6+c = 10

c = 10 - 6

c = 4

Similarly:

3d + 5c = 17

3d + 5(4) = 17

3d + 20 = 17

3d = 17 - 20

3d = -3

d =-3/3

d = -1

Hence the value of c and d if 3(2x+d)+c(x+5)=10x+17  is 4 and -1 respectively

Learn more here: https://brainly.com/question/945593

Answer:

1/2 x 1/5 = 1/10.

Step-by-step explanation:

Answer : fraction of the sheet of paper she use to make the flower is 1/10

Answer:

c

Step-by-step explanation:

Answer:

its c

Step-by-step explanation:

Answer:

T = 48

Step-by-step explanation:

multiply both sides by 12 to isolate t

t/12(12) = 4(12)

t = 48

Answer:

Diameter = 49

radius = 49/2

circumference of circle is = 2π r

=. 2*22/7*49/2

= 154 cm

hope it helps

Answer:

There are two lines of symetry.

Answer:B

Step-by-step explanation

its B

Answer:

Step-by-step explanation: 5x-5=3x+13--->   5x-3x=13+5---> 2x=13+5---- 2x=18----> x=9 hope it helps

Answer:

Step-by-step explanation: 40

Answer:

x = 20

Step-by-step explanation:

These angles are same-side supplementary, therefore they add up to 180°.

[tex]4x + 5x = 180 \\ 9x = 180 \\ x = 20[/tex]

Answer:

4x + 5x = 180

because of interior angle

hence, 9x = 180

x = 180/9

x = 20

one angle = 20*4 = 80

another angle = 20*5 = 100

hope it helps

Answer:

she can make 48 cookies.

Answer:

48

Step-by-step explanation:

If you divide 42 by 7 you get 6 so thats how many cookies she baked with one scoop. So then you add 6

Answer:

10 inches

Step-by-step explanation:

┏┓ OK!

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Answer:

139 km

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]50^{2} + 130^{2} = c^{2} \\2500 + 16900 = 19400^{2}\\[/tex]

[tex]\sqrt{19400}[/tex] = 139.28

Round to the nearest whole number = 139

lateral surface area of this cylinder is 1584/7 or 226.28...cm square.

The  lateral area of the cylinder is 226.2 cm² .

The lateral surface of an object is all of the sides of the object, excluding its base and top. The lateral surface area is the area of the lateral surface.

For a right circular cylinder of radius r and height h, the lateral area is the area of the side surface of the cylinder:

A = 2πrh.

According to the question

radius of cylinder = 3 cm

height of cylinder = 12 cm

The lateral area of the cylinder:  

A = 2πrh

A = 2 * [tex]\frac{22}{7}[/tex] * 3 * 12

A = 226.2 cm²

Hence, the  lateral area of the cylinder is 226.2 cm² .

To know more about lateral area of the cylinder here:

https://brainly.com/question/2904887

#SPJ3

Answer:

8n

Step-by-step explanation:

First 6 multiples of 8 = 8, 16, 24, 32, 40, 48

So the nth term of the multiple of 8 = 8n

For example for the 15th term of 8, 8×15=120

Answer:

6450

Step-by-step explanation:

Because 1505 ÷ 7 = 215

The bicycle factory produces 215 bikes in 1 day.

So: 215 • 30 = 6450

Hope this helps!

Answer:

4 5/8

Step-by-step explanation:

Given function:

Find the fraction area:

Therefore, the blue line is 4 5/8 inches long.

Answer:

I've seen multiples of trolling going on in brainly, and i could barely report them all.

Step-by-step explanation:

Step-by-step explanation:

Volume

= 1/3 * π* r² * h

= 1/3 * 3.14 * 5² * 5

= 1/3 * 3.14 * 25 * 5

= 130.83 units ³

Hope it will help :)❤

Answer:

V = 130.83

Step-by-step explanation:

The equation for the volume of a cone is:

[tex]V =\frac{ \pi r^2h}{3}[/tex]

we can see that r = 5, and h = 5

we will use 3.14 for the value of pi

so, we just fill in the equation with the values we know and solve :)

[tex]V=\frac{\pi r^2h}{3} \\V=\frac{(3.14) (5)^2(5)}{3}\\V=\frac{(3.14) (25)(5)}{3} \\V=\frac{392.5}{3} \\V= 130.8333 (approx.)[/tex]

the question wants the nearest hundred, so the final answer is

V = 130.83

Answer:

3x^2 if thats what you needed

Step-by-step explanation:

Answer:

D; 46 degrees

Step-by-step explanation:

The inscribed angle theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. Arc AC is the intercepted angle of angle ABC. 92/2=46.

Answer:

slope is 3/5

Step-by-step explanation:

-10-2/-16-4

12/20

6/10

3/5

Answer:

true

Step-by-step explanation:

truuuuuusststttt me

Answer:

x = 20°

Step-by-step explanation:

by angle sum property of triangle

30 + 130 + x = 180

x = 180 - 160

Answer:

It would be 10 units

you can use the midpoint formula.

Answer:

Option B (the pentagonal pyramid)

Step-by-step explanation:

Given the pentagram, we can see a pentagon in the middle. The pentagonal prism (option A) and pentagonal pyramid (option B) both have bases of a pentagon. However, their nets are different. Only the pentagonal pyramid's net is that of a pentagram. Therefore, option B is correct.

Answer:

y= 30 x=15

set up your proportions for example 9/6 to y/20 and 9/6 to x/10 and then cross multiply

Answer:

$1362

Step-by-step explanation:

Answer:

-6x + 19

Step-by-step explanation:

perform multiplication first.

,

TSA 294000 IS THE TOTAL AREA OF A CUBOID 0.7