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3 years ago

50 POINTS!!!!

Mathematics

2 answers:

Lubov Fominskaja [6]3 years ago

8 0

B is the correct answer because of the correct equation.And none of the others would make sense

mixer [17]3 years ago

7 0

Answer: Option 'B' is correct.

Step-by-step explanation:

since we have given that

Time taken to build a cabinet by Genna = 4 hours.

Time taken to build a cabinet by Claude = 3 hours

Now, time taken by both Genna and Claude to build a cabinet together is to be find.

Work done by Genna is given by

$\frac{1}{4}$

Work done by Claude is given by

$\frac{1}{3}$

According to question,

$\frac{1}{4}+\frac{1}{3}=\frac{1}{x}\\\\\frac{3+4}{12}=\frac{1}{x}\\\\\frac{7}{12}=\frac{1}{x}\\\\x=\frac{12}{7}\\\\x=1\frac{5}{7}\ hours$

Hence, Option 'B' is correct.

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Solve to inequality 5/6v < 8/5

Anna35 [415]

$\dfrac{5}{6}v \ \textless \ \dfrac{8}{5}\ \ \ |multiply\ both\ sides\ by\ \dfrac{6}{5}\\\\\dfrac{6}{5}\cdot\dfrac{5}{6}v \ \textless \ \dfrac{6}{5}\cdot\dfrac{8}{5}\\\\v \ \textless \ \dfrac{48}{25}\to v\in\left(-\infty;\ \dfrac{48}{25}\right)$

4 0

3 years ago

At a bead store, glass beads cost $2.85 per ounce. What is the price for 8.6 ounces of glass beads?

Zielflug [23.3K]

(2.85)(8.6) = $24.51

4 0

3 years ago

Read 2 more answers

A sprinter who weighs 706 N runs the first 5.5 m of a race in 1.6 s, starting from rest and accelerating uniformly. What are the

zhenek [66]

Answer:

(a) Speed = 6.875 m/s

(b) Kinetic Energy = 1.70 kJ

Step-by-step explanation:

Given:

d = 5.5 m

t = 1.6 s

W = 706 N

Part (a)

Using the equation of motion with the assumption of zero initial speed:

$d = \frac{1}{2} ({v-0})t$

$5.5= \frac{1}{2} (1.6v)$

The speed of the sprinter then become:

$v = 6.875 m/s$

Part (b)

Convert the weight of the sprinter to mass:

$m = \frac{w}{g}$

$m = \frac{706}{9.8}$

$m = 72 kg$

KE (Kinetic Energy) can then be calculated as:

$KE = \frac{1}{2} mv^{2}$

$KE = \frac{1}{2} (72)(6.875)^{2}$

$KE = 1701.56 J = 1.70 kJ$

Part (c)

The change of the kinetic energy is equivalent to the work done by the sprinter. The average power P is the rate of the work done and can be calculated as

$P = \frac{KE}{t} \\\$

$P = \frac{1701.56}{1.6}$

$P = 1063.48 W = 1.06 kW$

5 0

3 years ago

Deedra has the equations for lines A and B. When she solved for the point where these two lines intersect, she ended up with the

KonstantinChe [14]

we can take a peek at two of those lines hmmm say y = 5x + 3 and y = 5x + 7.

let's notice, those two equations for those lines are in slope-intercept form, so let's solve the system.

since y = y then

5x + 3 = 5x + 7

3 = 7 what the?

well, notice, both lines have the same slope of 5, but different y-intercept, one has it at y = 3 and the other at y = 7, what does that mean?

it means that both lines are parallel to each other, one may well be above the other, but both are parallel, and since a solution to the system is where their graphs intersect, well, parallel lines never touch, so a system with two parallel lines has no solutions.

3 0

3 years ago

Read 2 more answers

Number 11 please , someone? Thank you .

KIM [24]

In a triangle, the measure of an angle is in the same order of size as the length of the opposite side. The smallest angle is opposite the shortest side. The largest angle is opposite the longest side. The middle-sized angle is opposite the middle-sized side.

Also, in a triangle, the sum of the measures of the interior angles is 180.

We can now calculate the measures of the three angles by writing and solving an equation.

m<A + m<B + m<C = 180

9x - 7 + 7x - 9 + 28 - 2x = 180

Collect like terms on the left side.

9x + 7x - 2x - 7 - 9 + 28 = 180

14x + 12 = 180

Subtract 12 from both sides.

14x = 168

x = 12

Now that we know x, we can find the measure of each angle.

m<A = 9x - 7 = 9(12) - 7 = 108 - 7 = 101
m<B = 7x - 9 = 7(12) - 9 = 84 - 9 = 75
m<C = 28 - 2x = 28 - 2(12) = 28 - 24 = 4

(Quick check: Add the angles measures: 101 + 75 + 4 = 180. The sum is 180 as it should be.)

Now that we know the angle measures, the opposite sides are in the same order of size.

AB < AC < BC

The sides are, in increasing order of length:

AB, AC, BC

8 0

3 years ago