All categories

2 years ago

If AB =CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.

Mathematics

2 answers:

Inessa05 [86]2 years ago

3 0

Answer:

Step-by-step explanation:

U right it’s not any of them and if u single I’m here

Ivahew [28]2 years ago

3 0

Answer:

Step-by-step explanation:

AD, the entire segment, is composed of the three segments AB, BC, and CD. In other words:

$AD=AB+BC+CD$

Since AB=CD, we can substitute:

$AD=CD+BC+CD\\ AD=2CD+BC$

We know that CD is 9 and BC is 5x. AD is 53. So, substitute:

$53=2(9)+5x$

Solve for x:

$\begin{aligned} 53&=18+5x \\ 35&=5x \\ 7&=x \end{aligned}$

The value of x is 7.

Hence, our answer is B.

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Please answer correctly if you can

tatuchka [14]

Answer:

the answer is 40/100 × 20

6 0

2 years ago

The equation C = 30x+120 represents the cost of producing gaming chairs. The equation R = 50x represents the revenue generated b

ANEK [815]

Answer:

6 chairs

Step-by-step explanation:

The break even Point on gaming chairs can be expressed as :

Revenue = Cost

Revenue, R = 50x

Cost, C = 30x + 120

R = C

50x = 30x + 120

50 - 30x = 120

20x = 120

Divide both sides by 20

20x/ 20 = 120 / 20

x = 6

Hence, 6 chairs must be sold for the company to break even.

4 0

2 years ago

Compound interest of $1000 is invested at 10% compounded continuously, the future value s at any time t in years is given by s=1

crimeas [40]

Answer: 6.93 years

Step-by-step explanation:

Given

Rate of interest is $r=10\%$

Future value is given by $s=1000e^{0.1t}$

For the investment to double itself, i.e. $s=2000$

$\Rightarrow 2000=1000e^{0.1t}\\\Rightarrow 2=e^{0.1t}\\\\\text{Taking log both sides}\\\\\Rightarrow \ln 2=0.1t\\\\\Rightarrow t=\dfrac{\ln 2}{0.1}\\\\\Rightarrow t=6.93\ \text{years}$

It takes around 6.93 years to double the investment.

8 0

2 years ago

13x=-21-6y and -8x=36+6y

IgorLugansk [536]

Answer:

$x=3\\y=-10$

Step-by-step explanation:

$13x=-21-6y\\-8x=36+6y$

Let's take one of the equations and solve for x. I'll take the first one.

$13x=-21-6y$

Divide by 13.

$x=\frac{-21-6y}{13}$

Now replace x in the second equation.

$-8x=36+6y\\-8(\frac{-21-6y}{13} )=36+6y$

Distribute -8

$\frac{168+48y}{13}=36+6y$

Break down the fraction.

$\frac{168}{13}+\frac{48}{13}y=36+6y$

Subtract $\frac{168}{13}$

$\frac{48}{13}y=36+6y-\frac{168}{13}$

Subtract 6y

$\frac{48}{13}y-6y=36-\frac{168}{13}$

Combine like terms;

$\frac{48-13*6}{13}y=\frac{36*13-168}{13}$

Solve;

$\frac{48-78}{13}y=\frac{468-168}{13}$

Keep solving;

$\frac{-30}{13}y=\frac{300}{13}$

Multiply by the negative reciprocal of the fraction next to y.

$(-\frac{13}{30} )\frac{-30}{13}y=\frac{300}{13}(-\frac{13}{30} )$

On the right side; 13 and 13 become 1. 300/30 = 30/3 = 10

$y=-10$

After having found y, replace it in any of the equations to find x.

$13x=-21-6y\\13x=-21-6(-10)\\13x=-21+60\\13x=39\\x=\frac{39}{13}\\ x=3$

6 0

2 years ago

Read 2 more answers

The volume of a rectangular prism is 2,058cm. The Length of the prism is 3 times the width. The height is twice the width. Find

Nat2105 [25]

v = l x w x h

v = 2058

width = x

height = 2x

length = 3x

2058 = 3x*2x*x =

2058 = 6x^3=

343 = x^3

x = 7

2*7 = 14

3*7 = 21

21*14*7 = 2058

height is 14 cm

5 0

2 years ago