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4 years ago

What is the product of 34.2 and 1.2

Mathematics

2 answers:

sertanlavr [38]4 years ago

6 0

41.04 is your answer because product means you bed to multiply so you multiply 34.2×1.2 and you get 41.04

natulia [17]4 years ago

5 0

41.04 because you have to multiply. (Like they said.)

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Mr. Sanchez’s class sold fruit pies for $1.32 each and Mr. Kelly’s class sold bottles of fruit juice for $1.77 each. Together, t

SSSSS [86.1K]

Answer:

a) $k=48\\s=42$

b) Mr. Kelly’s class.

c) $29.52

Step-by-step explanation:

a) Let's call:

s: the number of fruit pies sold by Mr. Sanchez’s class.

k:<em> </em>the number of fruit pies sold by Mr. Kelly’s class.

You can set up the following system of equations:

$\left \{ {{s+k=90} \atop {1.32s+1.77k=140.40}} \right.$

You can solve it by the Elimination method:

- Multiply the first equation by -1.32.

- Add both equations.

- Solve for k.

Then:

$\left \{ {{-1.32s-1.32k=-118.8} \atop {1.32s+1.77k=140.40}} \right.\\\\0.45k=21.6\\k=48$

Susbtitute k into any of the original equations and solve for s:

$s+k=90\\s+48=90\\s=42$

b) The amount of money earned by Mr. Kelly’s class was:

$48\ pies*\$1.77=\$84.96$

The amount of money earned by Mr. Sanchez’s class was:

$42\ pies*\$1.32=\$55.44$

Then, the class that earned more money was: Mr. Kelly’s class.

c) Subtract both amounts of money:

$\$84.96-\$55.44=\$29.52$

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3 years ago

Roberto plays on the school baseball team. In the last 9 games, Roberto was at the bat 32 times and got 11 hits. What is the exp

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4 years ago

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4 years ago

6 Paul runs 1.5 km on the bearing 127°. a Draw a diagram of the situation. b How far east is Paul from his starting point? ( How

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By running in a bearing of 127°, Paul motion is in the south eastern direction.

Correct responses:

a. Please find attached the required diagram created with MS Visio

b. Paul's distance travelled east is approximately 11.98 km

Paul's distance travelled south is approximately 0.903 km

<h3>Method used for diagram and for the distance calculation</h3>

Given:

The distance Paul runs = 1.5 km

The bearing Paul is running = 127°

a. The bearing of path Paul runs, 127°, is the angle measured in the clockwise direction relative to the northern direction

Please find attached the diagram representing the situation, created with MS Visio.

b. Paul's distance travelled east relative to the starting point is given by the component of Paul's path in the x-axis direction which is found as follows;

Paul's distance east = 15 km × cos(37°) ≈ <u>11.98 km</u>

Pau's distance travelled in the south direction relative to the starting point

is given by the vertical distance travelled relative to the x-axis, which is

given as follows;

Distance Paul travels south = 1.5 km × sin(37°) ≈ <u>0.903 km</u>

Learn more about bearings in trigonometry here:

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Step-by-step explanation:

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