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kvv77 [185]
3 years ago
5

Divide $2.50 in a ratio of 4:1

Mathematics
1 answer:
hram777 [196]3 years ago
4 0

Step-by-step explanation:

4x + x = 2.5 \\  \\  \therefore \: 5x = 2.5 \\  \\  \therefore \: x =  \frac{2.5}{5}  = 0.5 \\  \\  \therefore \:  4x = 4 \times 0.5 = 2

Hence, 2.50 in the ratio 4 : 1 can be divided as 2 and 0.5

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Which point is the reflection of point E across the y-axis what are it’s coordinates ??
Anuta_ua [19.1K]

Answer:

Point J is the reflection, and the coordinates are (0,-2)

Step-by-step explanation:

3 0
3 years ago
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A pole, 4m high, stands, vertically, on
Lostsunrise [7]

Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

According to the tangent ratio

tan {\theta} = \frac{opposite}{adjacent}

On substituting the values,

ta( {30^{o}) = \frac{4}{x}

x  = \frac{4}{tan ({30^{o})}}

x =\frac{4}{0.57735027}

x  = 6.93 m

6 0
3 years ago
There are 180 cars in the parking lot 30% are red cars how many red cards are there
Yuri [45]
There are 54 red cars
7 0
2 years ago
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2(a³+b²+11)+1(3+a³+b+11)
Ann [662]

Answer:

2(a^3+b^2+11)+1(3+a^3+b+11)=3a^3+2b^2+b+36

Step-by-step explanation:

I assume that you need simplification of the given expression.

The given expression is:

2(a^3+b^2+11)+1(3+a^3+b+11)

Using distributive property and multiplying 2 inside the parenthesis and 1 inside the other parenthesis. This gives,

2(a^3+b^2+11)=2\times a^3+2\times b^2+2\times 11\\2(a^3+b^2+11)=2a^3+2b^2+22\\\\1(3+a^3+b+11)=1\times 3+1\times a^3+1\times b+1\times 11\\1(3+a^3+b+11)=3+a^3+b+11=a^3+b+14

Therefore, 2(a^3+b^2+11)+1(3+a^3+b+11) is equal to:

2a^3+2b^2+22+a^3+b+14

Now, combining like terms using the commutative property of addition, we get:

=(2a^3+a^3)+2b^2+b+(22+14)\\=3a^3+2b^2+b+36

Therefore, the simplified form is 3a^3+2b^2+b+36

8 0
3 years ago
Ahmad drove 360miles in 5hours.<br> At the same rate, how long would it take him to drive 864miles?
AVprozaik [17]

It will take Ahmad 12 hours to drive 864 miles

Step-by-step explanation:

  • Step 1: Find the speed of Ahmad.

Distance = 360 miles

Time = 5 hours

⇒ Speed = Distance/Time = 360/5 = 72 miles/hour

  • Step 2: Find the time required to drive 864 miles

⇒ Time = Distance/Speed = 864/72 = 12 hours

7 0
3 years ago
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