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SOVA2 [1]
2 years ago
15

Mrs Atkins is going to choose two students from her class to take part in a competition.

Mathematics
1 answer:
Schach [20]2 years ago
6 0

Given:

Total number of girls in her class = 16

Total number of boys in her class = 14

To find:

The number of different ways of choosing one girl and one boy.

Solution:

We have,

Total number of girls = 16

Total number of boys = 14

So,

Total number of ways to select one girl from 16 girls = 16

Total number of ways to select one boy from 14 boys = 14

Now, number of different ways of choosing one girl and one boy is

16\times 14=224

Therefore, the required number of different ways is 224.

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ΔABC and ΔXYZ are similar triangles. If BC = x + 7, AC = x + 6, YZ = 4 − x, and XZ = 3 − x, find the value of x.
Montano1993 [528]
I believe the answer is B) -3/2 or -1.5.

Please give a heart and rating if this is right!
3 0
2 years ago
Read 2 more answers
Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest compounded semiannually he made
il63 [147K]

Answer:

The amount in the account is $3062.4 (Approx) and compound interest is $162.4 .

Step-by-step explanation:

Formula for compounded semiannually

Amount = P(1 + \frac{r}{2} )^{2t}

Where P is the principle , r is the rate in decimal form and t is the time.

As given

Michael arthur deported $2,900 in a new regular savings account that earns 5.5 percent interest .

Here

Principle =  $2,900

5.5% is written in the decimal form.

= \frac{5.5}{100}

= 0.055

Time = 1 year

Put in the formula

Amount = 2900\times (1 + \frac{0.055}{2} )^{2\times 1}

Amount = 2900\times (1 + 0.0275 )^{2\times 1}

Amount = 2900\times (1.0275)^{2}

Amount = 2900\times 1.056\ (Approx)

Amount = $ 3062.4 (Approx)

Thus the amount after 1 years is $3062.4 (Approx) .

Now find out the compound interest .

Amount = Principle + Compound interest

Here

Amount = $ 3062.4  

Principle = $2,900

Put in the above

$3062.4   = $2,900 + Compound interest

Compound interest = $3062.4 -  $2,900

Compound interest = $162.4






8 0
2 years ago
Are triangles ADC and EBC congruent? triangle ADC is overlapping triangle EBC so that they both share angle ACE, point B is on s
Olin [163]

Answer:

Yes, by AAS ⇒ 2nd answer

Step-by-step explanation:

* <em>Lets revise the cases of congruence</em>

- <u><em>SSS</em></u>  ⇒ 3 sides in the 1st Δ ≅ 3 corresponding sides in the 2nd Δ  

- <u><em>SAS</em></u> ⇒ 2 sides and including angle in the 1st Δ ≅ 2 corresponding

 sides and   including angle in the 2nd Δ  

- <u><em>ASA</em></u> ⇒ 2 angles and the side whose joining them in the 1st Δ   ≅

 2 corresponding angles and the side whose joining them in the 2nd Δ  

- <em><u>AAS</u></em> ⇒ 2 angles and one side in the first triangle ≅ 2 corresponding

 angles   and one side in the 2ndΔ

* <em>Lets solve the problem</em>

- In 2 Δs ADC and EBC

∵ <em>∠ACE is a common angle</em> in the two triangles ⇒ given

∵ <em>∠CAD ≅ ∠CEB</em> ⇒ because they marked with the same symbol

∵ <em>DC ≅ BC</em> ⇒ because they marked with the same symbol

- Two angles and one side in Δ ADC ≅ two corresponding angles  

  and one side in Δ EBC

∴ <u><em>Triangles ADC and EBC congruent by AAS</em></u>

* Yes Triangles ADC and EBC congruent by AAS

8 0
2 years ago
Read 2 more answers
A car that retails for $14,999 has a sticker on the windshield that says, "$429/mo for 48 months." What interest rate is this ca
kkurt [141]
14,999(1+.o825)^4= 20,595. $429x48 months= 20,592
Interest rate 8 1/4%

Check 20592/14999= 1.37289
Log(1.37289)/ log(1.0825)= 3.99 years
4 0
2 years ago
Read 2 more answers
Assuming no direct factory overhead costs (i.e., inventory carry costs) and $3 million dollars in combined promotion and sales b
alexira [117]

Answer:

Step-by-step explanation:

Given that we assume  no direct factory overhead costs (i.e., inventory carry costs) and $3 million dollars in combined promotion and sales budget, the Deal product manager wishes to achieve a product contribution margin of 35%.

Sales - variable cost = Fixed cost + profit

Here fixed cost = 3 million dollars

Sales - variable = contribution = 35%

35% should atleast meet the fixed cost

i.e. 35% = 3 million

100% = 8.57 million can be cost

Since fixed cost will not change and remain 3 million these 5,57 million can be given to material and labor costs

So material and labor cost should be limited upto 5.57 million increase.

3 0
2 years ago
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