I need help with 7c please

Mathematics

1 answer:

laiz [17]3 years ago

7 0

Answer:

mx x 2 x1dadqd

Step-by-step explanation:

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svetlana [45]

Answer:

$\large \boxed{\sf \text{The rate of the boat is } 53 \ km/h \text{, the rate of the current is }8\ km/h \ \ }$

Step-by-step explanation:

Hello, let's note v the rate of the boat and r the rate of the current. We can write the following

$\dfrac{135}{v-r}=3=\dfrac{183}{v+r}$

It means that

$135(v+r)=183(v-r)\\\\135 v + 135r=183v-183r\\\\\text{ *** We regroup the terms in v on the right and the ones in r to the left***}\\\\(135+183)r=(183-135)v\\\\318r=48v\\\\\text{ *** We divide by 48 both sides ***}\\\\\boxed{v = \dfrac{318}{48} \cdot r= \dfrac{159}{24} \cdot r}$

But we can as well use the second equation:

$3(v+r)=183\\\\v+r=\dfrac{183}{3}=61\\\\\dfrac{159}{24}r+r=61\\\\\dfrac{159+24}{24}r=61\\\\\boxed{r = \dfrac{61*24}{183}=8}$

and then

$\boxed{v=\dfrac{159*8}{24}=53}$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

Find the value of x that makes m||n

svet-max [94.6K]

7x-23+11x+23=180
4x+0=180
4x/4=180/4
X=45

Answer: x=45

5 0

3 years ago

If 150g of sugar is used for 5 cakes how much is used for 7

Snowcat [4.5K]

150 grams is used for 5 cakes divide that.
150/5=30. 30 grams of sugar are used for each cake
for 7 cakes
30x7=<span>210 grams of sugar are used for seven cakes.
</span>

4 0

3 years ago

Read 2 more answers

What is the range of y = sin x?

Greeley [361]

Answer:

See below

Step-by-step explanation:

The function $f(x)=sin(x)$ oscillates between -1 and 1, so the range is $-1\leq x\leq 1$ .