Prove trigonometric identity:

What is 150% of 5000? Round to the nearest hundredth (if necessary).

sveticcg [70]

The answer is 7,500 because 150% is the same as 1.5 x 5000.

5 0

3 years ago

I need help! Dilation with points on a grid!

ryzh [129]

Answer:

D'(-6,-4)

Step-by-step explanation:

When making this non rigid transformation about a point, keep in mind that a dilation by a certain scale factor can be represented by:

8 0

3 years ago

Read 2 more answers

Ms. Houston's fifth-grade class of 20 students is going to a museum.

nydimaria [60]

Answer:

7 fossils

Step-by-step explanation:

Find the cost for transportation by multiplying 20 by 5, since it is $5 per student and there are 20 students

20(5)

= 100

Subtract this from 128, since they raised $128

128 - 100

= 28

This means they have $28 to spend on fossils.

To find how many they can buy, divide 28 by 4, since they are $4 each

28/4

= 7

So, they can buy 7 fossils with the money they have left

3 0

3 years ago

On a recent trip to a local orchard, the Morgan family picked four different kinds of apples - Braeburn, Cortland, Fuji, and Rom

ivanzaharov [21]

Answer:

Morgan family picked 144 Braeburn apples, 96 Cortland apples, 72 Fuji apples and 48 Rome apples.

Step-by-step explanation:

Let B, C, F and R represent Braeburn apples, Cortland apples, Fuji apples, and Rome apples respectively.

We have been given that Morgan family picked a total of 360 apples. We can represent this information in an equation as:

$B+C+F+R=360...(1)$

We are told that Morgan family picked twice as many Braeburn as Fuji. We can represent this information in an equation as:

$B=2F...(2)$

We are told that Morgan family picked twice as many Cortland as Rome, that is:

$C=2R...(3)$

We are told that Morgan family picked 50% more Fuji than Rome, that is:

$F=1.5R...(4)$

Upon substituting equation (4) in equation (2), we will get:

$B=2(1.5)R$

$B=3R$

Now, each apple in in terms of Rome apples, so we will get:

$3R+2R+1.5R+R=360$

Let us solve for R.

$7.5R=360$

$\frac{7.5R}{7.5}=\frac{360}{7.5}$

$R=48$

Therefore, Morgan family picked 48 Rome apples.

Upon substituting $R=48$ in (3), we will get:

$C=2R\Rightarrow 2(48)=96$

Therefore, Morgan family picked 96 Cortland apples.

Upon substituting $R=48$ in (4), we will get:

$F=1.5R\Rightarrow 1.5(48)=72$

Therefore, Morgan family picked 72 Fuji apples.

Upon substituting $F=72$ in (2), we will get:

$B=2F\Rightarrow 2(72)=144$

Therefore, Morgan family picked 144 Braeburn apples.

3 0

3 years ago

The mean temperature for the first 7 days in January was 3 °C.

g100num [7]

Answer:

<u><em>3.5 °C</em></u>

Step-by-step explanation:

To find the answer multiply 3 and 7 to get the sum of the temperatures in the first seven days.

3 x 7 = 21

Add 21 and 8 together to get the sum of the temperatures in the first 8 days.

21 + 8 =29

Divide 29 by 8 to get the mean temperature for the first eight days.

29 ÷ 8 = 3.5

3.5 °C

8 0

3 years ago

Read 2 more answers