All categories

3 years ago

B - 1/8= 3 1/2 what’s b equal

Mathematics

1 answer:

svlad2 [7]3 years ago

4 0

In fraction
b= 29/8
decimal
b= 3.625
another’s fraction
b= 3 5/8

You might be interested in

A figure is broken into a rectangle and a triangle. The triangle has a base of 2 and two-thirds feet and height of 3 feet. The r

ohaa [14]

Answer:

$b=2\frac23\:\sf ft$

Area of triangle = 4 ft²

Area of rectangle = $6\frac23\: \sf ft^2$

Area of irregular figure = $10\frac23\: \sf ft^2$

Step-by-step explanation:

$\begin{aligned}\sf Base\:of\:triangle\:(b) & = 5-2\frac13\\\\& = \dfrac{15}{3}-\dfrac73\\\\ & = \dfrac83\\\\ & = 2\frac23\:\sf ft \end{aligned}$

$\begin{aligned}\sf Area\:of\:a\:triangle & =\dfrac12 \sf \times base \times height\\\\& = \dfrac12 \times b \times 3\\\\ & = \dfrac12 \times \dfrac83 \times \dfrac31\\\\ & = \dfrac{24}{6}\\\\ & = 4\: \sf ft^2\end{aligned}$

$\begin{aligned}\sf Area\:of\:rectangle& =\sf length \times width\\\\& = 5 \times 1\frac13\\\\ & = \dfrac51\times \dfrac43\\\\& = \dfrac{20}{3}\\\\ & = 6\frac23\: \sf ft^2\end{aligned}$

$\begin{aligned} \sf Area\:of\:irregular\:figure & = \sf area\:of\:triangle+area\:of\:rectangle\\\\ & = 4 + 6\frac23\\\\ & = 10\frac23\: \sf ft^2\end{aligned}$

5 0

2 years ago

Read 2 more answers

Can you simplify all of these questions please

VMariaS [17]

-3(p-1)+9p+2

-3p+3+9p+2
-3p+9p,+3+2
6p+5

10-4(m+1)

10-4m-4
6-4m
2(3-2m)

4g-2g-3(g-2)

4g-2g-3g+6
2g-3g+6
-g+6

hope it helps

stay safe healthy and happy.

6 0

3 years ago

Read 2 more answers

$3000 is invested in an account at interest rate r, compounded continuously. Find the time required for the amount to triple. (A

arsen [322]

Answer:

$36.62\ years$

Step-by-step explanation:

<u><em>The value of r is the question is</em></u>

r=0.03

we know that

The formula to calculate continuously compounded interest is equal to

$A=P(e)^{rt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

e is the mathematical constant number

we have

$t=?\ years\\ P=\$3,000\\A=\$9,000\\r=0.03$

substitute in the formula above

$9,000=3,000(e)^{0.03t}$

solve for t

$3=(e)^{0.03t}$

Apply ln both sides

$ln(3)=ln[(e)^{0.03t}]$

Apply property of logarithms

$ln(3)=(0.03t)ln[(e)]$

Remember that

$ln(e)=1$

$ln(3)=(0.03t)$

$t=ln(3)/(0.03)=36.62\ years$

5 0

3 years ago

Indicate whether the following statements are True (T) or False (F).

chubhunter [2.5K]

1. False because a rational is a fraction or part of a number ( $\frac{3}{2}, 3.2$ ). $\sqrt{49} = 7$

2. True; a real number is any number that isn't imaginary ( $i, \sqrt{-1}$ )

3. True; same reason

4. True; an integer is any number that can be wrote without a fraction or decimal (the opposite of rational).

5. True; $\sqrt{3} \approx 1.32$ and that's a decimal.

6. True; the natural number system starts from 0 and counts upwards

7. True; reason above

4 0

4 years ago

3x-8y=24 <br> y=x-8<br> Please show <br> work

In-s [12.5K]

Answer:

3x - 8y = 24 --------(1)

y = x - 8 ---------(2)

substitute y in (1)

3x - 8( x - 8) = 24

3x - 8x + 64 = 24

-5x = 24 - 64

-5x = -40

5x = 40

x= 8

substitute x in (2)

y = 2 - 8

y = - 6

4 0

3 years ago

Read 2 more answers