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3 years ago

Convert 1101, to base 10.

Mathematics

1 answer:

AleksAgata [21]3 years ago

8 0

1*2^3+0*2^2+1*2^1+1*2^0

8+0+2+1

=11

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The ages of Jamal, Wesley, an John are consecutive integers.the sum of thier ages is 108.what are thier ages .

hodyreva [135]

Answer:

Step-by-step explanation:

We have three people

jamal = x (since im guessing hes the youngest)

wesley= x+1

John= x+2

the formula you would use is x+x+1+x+2=108

when you simplify that you get 3X+3=108

you subtract the 3 from 108 which leaves you with 3X=105

divide that by 3 which makes x=35

jamal is 35

wesley is 36

john is 37

3 0

3 years ago

-2x + 3 < 5 Show your work/steps

s2008m [1.1K]

<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ -2x + 3 < 5

Subtract 3 from both sides:

-2x < 2

Divide both sides by -2 to isolate x:

x = -1

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ <u>ʜᴀɴɴᴀʜ</u> ♡

5 0

3 years ago

1. How much does the glass for region 1 cost?

Simora [160]

Answer:

1) 0.10

2) 0.15

3) 0.100

4) No

4 0

1 year ago

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°. Find all possible values of ∠X, to the nearest degree.

ikadub [295]

Given:

In ΔWXY, x = 680 inches, w = 900 inches and ∠W=157°.

To find:

The all possible values of ∠X, to the nearest degree.

Solution:

Law of Sines:

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

For ΔWXY,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}=\dfrac{y}{\sin Y}$

Now,

$\dfrac{w}{\sin W}=\dfrac{x}{\sin X}$

$\dfrac{900}{\sin (157^\circ)}=\dfrac{680}{\sin X}$

$900\sin X=680\sin (157^\circ)$

$\sin X=\dfrac{680}{900}\sin (157^\circ)$

$\sin X=0.295219$

$X=\sin^{-1}(0.295219)$

$X=17.17067$

$X\approx 17$

Therefore, the value of ∠X is 17 degrees.

5 0

2 years ago

What is the inverse of the function f(x)=8x+1? f^{-1}(x)=

zysi [14]

Change the x and y
Then solve for y
X= 8y+1
Subtract 1 from both sides
X-1=8y
Divide by 8
X-1 /8 = y

4 0

3 years ago

Convert 1101, to base 10. ​

Convert 1101, to base 10.