Combine like terms y+4+3(y+2)

It takes 24 hours to fill a large pool with two hoses, where the water in one hose flows four times as fast as the other hose.

ivolga24 [154]

4.8 h
Say the slow hose flows x
The fast hose flows 4x
5x = 24
x = 4.8

3 0

3 years ago

A \greenD{7\,\text{cm} \times 5\,\text{cm}}7cm×5cmstart color #1fab54, 7, start text, c, m, end text, times, 5, start text, c, m

erma4kov [3.2K]

Answer:

The area of the shaded region is 148.04 cm².

Step-by-step explanation:

It is provided that a 7 cm × 5 cm rectangle is inside a circle with radius 6 cm.

The sides of the rectangle are:

l = 7 cm

b = 6 cm.

The radius of the circle is, r = 6 cm.

Compute the area of the shaded region as follows:

Area of the shaded region = Area of rectangle - Area of circle

$=[\text{l}\times\text{b}]-[\pi\test{r}^{2}]\\\\=[7\times5]+[3.14\times 6\times 6]\\\\=35+113.04\\\\=148.04$

Thus, the area of the shaded region is 148.04 cm².

8 0

3 years ago

Read 2 more answers

An apple farmer has planted 0.3 of his orchard with cherry trees. The orchard is 8.59 acres in size. How many acres are planted

Lynna [10]

0.3(8.59) = 2.577 rounds to 2.58 acres

6 0

3 years ago

The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll

slamgirl [31]

Answer:

The score is $x = 1884$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 1500$

The standard deviation is $\sigma = 300$

From the question we are told that the score follow a normal distribution

i.e $X \~ \ N( 1500 , 300)$

The proportion of score in the top 10% is mathematically

$P(X > x ) = P( \frac{X - \mu}{\sigma } > \frac{x - \mu}{\sigma } ) = 0.10$

Where x is the minimum score required to be in the top 10%

Now the $\frac{X - \mu}{\sigma } = Z (The \ Standardized \ value \ of \ X)$

So

$P(X > x ) = P( Z > \frac{x - \mu}{\sigma } ) = 0.10$

So

$P(X > x ) = P( Z > \frac{x - 1500}{300} ) = 0.10$

So the critical value of 0.10 from the normal distribution table is $Z_{0.10} = 1.28$

So

$\frac{x - 1500}{300} = 1.28$

$x = 1884$

6 0

3 years ago

Please answer this question now

IrinaVladis [17]

Answer:

243.75

I hope i am right

Step-by-step explanation:

$Using \: angle\: 40 \\Opposite = 25\\Hypotenuse = ?\\Sin \alpha = \frac{opp}{hyp} \\Sin 40 = \frac{25}{x} \\0.6427= \frac{25}{x}\\0.6427x = 25\\x = \frac{25}{0.6427}\\ x = 38.89\\x = 39\\Using \:Pythagoras\: theorem\\Hyp^2 = Opp^2 +Adj ^2\\39^2=25^2+x^2\\1521=625+x^2\\1521-65=x^2\\896=x^2\\x=29.93\\x = 30\\area = 1/2 \times b \times c \times sin(A).\\b =25\\c =39\\a =30\\A = \frac{1}{2} \times 25 \times 39 \times Sin 30\\A = 487.5\times 1/2\\A =243.75yd^2$

8 0

3 years ago