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zmey [24]
3 years ago
13

Guys, please help me out. Thanks.

Mathematics
1 answer:
kaheart [24]3 years ago
6 0

Answer:

w = 13

Step-by-step explanation:

Using the method of cross- multiplying

• \frac{a}{b} = \frac{c}{d} ⇒ ad = bc, thus

42(w + 11) = 28(w + 23) ← distribute parenthesis on both sides

42w + 462 = 28w + 644 ( subtract 28w from both sides )

14w + 462 = 644 ( subtract 462 from both sides )

14w = 182 ( divide both sides by 14 )

w = 13

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A boat traveled 210 miles downstream and back. The trip downstream took 10 hours. The trip back took 70 hours. What is the speed
musickatia [10]

Try this solution:

Answer: 6 & 4.5 (m-per-h)

Step-by-step explanation:

- The basic formula used in this task is S=V*t, where S - distance, V - speed, t - time.

- the downstream speed is: V+Vc, where V - the speed of the boat in still water, Vc - the speed of the current.

- the upstream speed is: V-Vc.

- according to the described above the distance for downstream is S1=(V+Vc)*t1, where t1=10; the distance for upstream is S2=(V-Vc)*t2, where t2=70.

- for whole travel down- and upstream: S=S1+S2.

- Using these it is possible to make up the system of the equations:

\left \{ {{(70(V-V_c)=10(V+V_c)} \atop {70(V-V_c)+10(V+V_c)=210}} \right.

V - the speed of the boat in still water - 6 miles per hour, Vc - the speed of the current - 4.5 miles per hour. All the details for the system of the equations are in the attachment.

4 0
3 years ago
In a population of 1000 snails, tests of snail color genes show that 160 snails are AA, 480 are Aa and 360 are aa. What is the f
Kipish [7]

Answer:

Option C.

Step-by-step explanation:

Total population = 1000 snails

AA = 160 snails

Aa = 480 snails

aa = 360 snails

Frequency of each type.

AA=\dfrac{160}{1000}=0.16

Aa=\dfrac{480}{1000}=0.48

aa=\dfrac{360}{1000}=0.36

Now, we get

A^2=0.16\Rightarrow A=\sqrt{0.16}=0.4

he frequency of the A allele in this population is 0.4.

Therefore, the correct option is C.

3 0
3 years ago
The Todd family plans to start a small business. Mr. Todd borrows $10,000 from the blank at an annual interest rate 8%for 36 mon
Ede4ka [16]

Answer: They will end up paying $2,400.

Step-by-step explanation:

Since the annual interest rate is 8% of $10,000, take 8% of 10,000 by multiplying these numbers. This gives you $800.

This is only the annual interest rate, the Todd family's loan and interest isn't paid until 36 months have passed. Since 36 months is equal to 3 years, we can multiply the annual rate by 3. (800*3)

The Todd family will pay $2,400 in interest by the end of the period.

5 0
2 years ago
What this rounded to the nearest thousandth
Harlamova29_29 [7]
If I'm not mistaken its 7.2200
6 0
3 years ago
16+(c+17)=(16+c)+17 ....what property is this?
Pavel [41]

It's is the Associative Property. I hope that helps!
4 0
3 years ago
Read 2 more answers
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