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3 years ago

Evaluate the expression for a = 11, b = 28. c = 25, d = 10: a + b - C-d

Mathematics

1 answer:

Soloha48 [4]3 years ago

4 0

Answer:

Step-by-step explanation:

11 + 28 - 25 - 10

39 - 25 - 10

14 - 10

Remember PEMDAS (Parentheses, Exponents, Multiply, Divide, Add, Subtract)

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A water tank has a square base of area 5 square meters. Initially the tank contains 70 cubic meters. Water leaves the tank, star

ANEK [815]

Answer:

$9.2\ \text{m}$

Step-by-step explanation:

$b$ = Surface area of base = 5 square meters

Volume of water in tank = 70 cubic meters

The rate at which the volume is reducing is

$\dfrac{dV}{dt}=2+4t\\\Rightarrow dV=2+4tdt$

Integrating from $t=0$ to $t=3$

$V=\int^3_0(2+4t)dt\\\Rightarrow V=2t+2t^2|_0^3\\\Rightarrow V=2\times 3+2\times 3^2-0\\\Rightarrow V=24$

Volume of water remaining in the tank is $70-24=46\ \text{m}^3$

Suface area of base $\times$ depth = Volume

$5\times d=46\\\Rightarrow d=\dfrac{46}{5}\\\Rightarrow d=9.2\ \text{m}$

The depth of the water remaining in the tank is $9.2\ \text{m}$ .

3 0

3 years ago

What is the volume of a cube whose edges each have a measure of 1.6cm?

Finger [1]

B is the answer
${1.6}^{3} = 4.096$
hope this helps

8 0

3 years ago

Y=1/3x what is the slope

Karolina [17]

Answer:

Slope = $\frac{1}{3}$

Step-by-step explanation:

The equation for finding slope is:

$y = mx+b$

In the equation, m is the slope, x is the x-intercept, and b is the y-intercept. The number next to x is ALWAYS the slope.

Your equation:

$y = \frac{1}{3} x$

The number(fraction) next to x is $\frac{1}{3}$ . Therefore, your answer will be $\frac{1}{3}$

3 0

3 years ago

Brittany walked 8,910 feet in 45 minutes. She walked at a constant rate. At what rate did Brittany walk in feet per minute?

jeyben [28]

Answer:

198 feet per minute

Step-by-step explanation:

8910 feet ÷ 45 minutes = 198 feet per minute

4 0

2 years ago

Read 2 more answers

The least common multiple of two numbers is 3780, and the greatest common divisor is 18. given that one of the numbers is 180, w

garri49 [273]

To solve these GCF and LCM problems, factor the numbers you're working with into primes:
3780 = 2*2*3*3*3*5*7
180 = 2*2*3*3*5
We know that the LCM of the two numbers, call them A and B, = 3780 and that A = 180. The greatest common factor of 180 and B = 18 so B has factors 2*3*3 in common with 180 but no other factors in common with 180. So, B has no more 2's and no 5's
Now, LCM(180,B) = 3780. So, A or B must have each of the factors of 3780. B needs another factor of 3 and a factor of 7 since LCM(A,B) needs for either A or B to have a factor of 2*2, which A has, and a factor of 3*3*3, which B will have with another factor of 3, and a factor of 7, which B will have.
So, B = 2*3*3*3*7 = 378.

8 0

3 years ago