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3 years ago

Anton is approved for overtime at his job. Last week he worked a total of 45 hours , how many hours of overtime did he work

Mathematics

1 answer:

pochemuha3 years ago

8 0

Answer:

B. 5 Hours

Step-by-step explanation:

any work over 40 hours in a 168 hour period is counted as overtime. So take 45 (his total) and subtract it by 40 and you get 5. 45 - 40 = 5 hours.

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During a checkers game, there are 16 pieces left. The ratio of black to red is 3 : 5. How many black pieces are on the board? Ex

kotegsom [21]

Answer:

6 black pieces

10 red pieces

Step-by-step explanation:

The way to interpret ratios is like so:

Adding up both parts of the ratio gives 8, i.e. 3 + 5

So for every 8 pieces, 3 are black and 5 are red;

There are 16 pieces, which is 2 × 8;

So, there are (2 × 3) black pieces and (2 × 5) red pieces, i.e. 6 black and 10 red

So, to solve:

Add all parts of the ratio (3 + 5);

Divide the number of pieces (16) by this sum of ratio parts (8);

Multiply the value from the division (2) by each part of the ratio

Tip:

It is important to take note of the order in the ratio, so the ratio of black to red means the number that comes first in the ratio represents parts black and the one that comes second represents parts red;

If the wording was the ratio of red to black, the number that comes first would represent parts red and the second would represent parts black

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3 years ago

What's the circumference of a<br> circle with a diameter of 31 inches?<br> Use 3.14 for pi.

DerKrebs [107]

Answer:

circumference = 97.34

Step-by-step explanation:

circumference = diameter x Pi

31 x 3.14 = 97.34 inches

5 0

3 years ago

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Which is the standard form of the equation with p=21 phi=7pi/6

frosja888 [35]

Answer and Step-by-step explanation:

$Greetings!$

$Let's~try~to~solve~your~question!$

$Use~the~formula~and~with~that~write~it~in~standard~form:$

$6$ θ $-7$ pi r $=0$

$I~think~this~was~the~answer~you~were~looking~for.$

$Well,~I~hope~my~answer~helps.$

$-Isabelle~Williams$

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3 years ago

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Which are the roots of the quadratic function f(b) = 62 – 75? Select two options.

elena55 [62]

Answer:

$b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

Step-by-step explanation:

Given

$f(b) = b^2 - 75$

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

$0 = b^2 - 75$

Add 75 to both sides

$75 + 0 = b^2 - 75 + 75$

$75 = b^2$

Take square roots of both sides

$\sqrt{75} = \sqrt{b^2}$

$\sqrt{75} = b$

Reorder

$b = \sqrt{75}$

Expand 75 as a product of 25 and 3

$b = \sqrt{25*3}$

Split the expression

$b = \sqrt{25} *\sqrt{3}$

$b = \±5 *\sqrt{3}$

$b = \±5 \sqrt{3}$

$b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

The options are not clear enough; however the roots of the equation are $b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}$

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3 years ago

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azamat

2. (D)
3. (B) Hope it helps

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3 years ago

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