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2 years ago

Estimate the quotient of 394.6 divided by 9

Mathematics

1 answer:

N76 [4]2 years ago

8 0

The answer rounded to the tenths place is 43.8, to the hundredths place is 43.84

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Eric is two years younger than 2 times his sisters age. Write a rule that represent Eric's age a as a function of his sisters ag

Snezhnost [94]

(11•2) - 2 = Eric's Age

7 0

2 years ago

Esther has a farm.

Gnesinka [82]

Here, we are required bro determine how many worker Esther needs to employ to pick the same 600kg of onions in 3 hours as compared to 4 hours from last year.

This year, she needs to employ 32 workers to pick a total of 600kg of onions in 3 hours.

According to the data given, the total quantity of onions to be picked still remains 600 kg as from last year, only that she needs it done in 3 hours now.

Therefore,

Since 24 workers finished the work in 4 hours,
This means that 96 workers are needed to finish the work in 1 hour( from 24×4 = 96).

Therefore, since the work needs to be done in 3 hours this year, This means that it can be shared between X no. of workers.

Where X = 96/3= 32

Therefore, this year she needs to employ 32 workers to pick a total of 600kg of onions in 3 hours.

Read more:

brainly.com/question/3796978

4 0

2 years ago

EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for

inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

$(x_1,y_1) = (\frac{1}{2},4)$

$(x_2,y_2) = (\frac{2}{3},1)$

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

$m =\frac{y_2 - y_1}{x_2 - x_1}$

$m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}$

$m =-\frac{ 3}{\frac{1}{6}}$

$m = -3/\frac{1}{6}$

$m = -3 * 6$

$m = -18$

This is in contrast to $m = -\frac{1}{2}$ , calculated by Cody

Solving further to determine the equation.

$y - y_1 = m(x - x_1)$

Where

$(x_1,y_1) = (\frac{1}{2},4)$

$m = -18$

$y - 4 = -18(x - \frac{1}{2})$

$y - 4 = -18x + 9$

Collect Like Terms

$y + 18x = 9 + 4$

$y + 18x = 13$

6 0

2 years ago

A newspaper writers compensation package includes the total cost of a $150 per month health insurance plan the total cost of a $

Aloiza [94]

150 x 12 = 1800
55 x 12 = 660

1800 + 660 + 45000 = 47,460

6 0

2 years ago

Read 2 more answers

In the diagram below, AC and CB, AB and CD, and m(angle)A=33 degrees. Find M(angle)B

hoa [83]

Answer:

15°.

Step-by-step explanation:

1. Angles ADC and CDB are supplementary, thus

m∠ADC+m∠CDB=180°.

Since m∠ADC=115°, you have that m∠CDB=180°-115°=65°.

2. Triangle BCD is isosceles triangle, because it has two congruent sides CB and CD. The base of this triangle is segment BD. Angles that are adjacent to the base of isosceles triangle are congruent, then

m∠CDB=m∠CBD=65°.

The sum of the measures of interior angles of triangle is 180°, therefore,

m∠CDB+m∠CBD+m∠BCD=180° and

m∠BCD=180°-65°-65°=50°.

3. Triangle ABC is isosceles, with base BC. Then

m∠ABC=m∠ACB.

From the previous you have that m∠ABC=65° (angle ABC is exactly angle CBD). So

m∠ACB=65°.

4. Angles BCD and DCA together form angle ACB. This gives you

m∠ACB=m∠ACD+m∠BCD,

m∠ACD=65°-50°=15°.

Have a good Day!

7 0

2 years ago