All categories

3 years ago

Simplify the ratio 40:16:80 --:--:--

Mathematics

2 answers:

grigory [225]3 years ago

6 0

The ratio is : 40 : 16 : 80
To simplify the ratio we will divide each number by 8:
Answer: 5 : 2 : 10.

Vilka [71]3 years ago

3 0

Look for numbers with which you can divide all the numbers.
40, 16 and 80 are all divisible by 2. So do that. 
Then you get 20:8:40 
Do that until you can't divide anymore with any number.

You might be interested in

Find the distance between (-4,6) and (3,-7)

Natali5045456 [20]

Answer:

4-6 is 2 and 3-7 is 4

Step-by-step explanation:

gufu6hrhjgbycjjjsidnidjdudjeijwjseyfhjokjo

8 0

3 years ago

A photograph 8 cm by 11 cm will be framed. The combined area of the frame and photograph will be 180 cm^2. Algebraically determi

SCORPION-xisa [38]

Answer:

12 cm x 15 cm

Step-by-step explanation:

if the picture frame thickness is x,

then the frame dimension would be (8+2x) cm by (11+2x) cm

area is (8+2x)(11+2x)=180

solve for x, x= 2, -23/2

x is thickness, so should be >0, so x=2

frame dimension: 12 x 16

8 0

2 years ago

Help solve this please

ad-work [718]

Answer:

a) 2

b) - $\frac{1}{2}$

c) y = 2x + 1

Step-by-step explanation:

First put the equation into slope intersept form (y=mx+b) by...

Move the variable to the right-hand side and change its sign : -y = -4 -2x

Change the signs on both sides of the equation: y = 4 + 2x

Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4

Parallel lines have the same slope so.... a parallel slope is 2

First put the equation into slope intersept form (y=mx+b) by...

Move the variable to the right-hand side and change its sign : -y = -4 -2x

Change the signs on both sides of the equation: y = 4 + 2x

Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4

To find a perpendicular slope flip the slope and change the sign : - $\frac{1}{2}$

First put the equation into slope intersept form (y=mx+b) by...

Move the variable to the right-hand side and change its sign : -y = -4 -2x

Change the signs on both sides of the equation: y = 4 + 2x

Use the commutative property to reorder the terms : y = 2x + 4

Slope intersept form : y = 2x + 4, parellel slope : 2

Substitute the x and y values with the given ordered pair: 3 = 2(1) + b
Calculate the product: 3 = 2 + b
Move the variable to the left-hand side and change its sign: -x = 2 - 3

Calculate the difference and change the signs : b = 1

Use the slope and y-intersept (b) to write the new line : y = 2x + 4

7 0

3 years ago

Which equation can be used to find the unknown length, b, in this triangle?

Paha777 [63]

Answer:

use pythagorean theorem

Step-by-step explanation:

a^2+b^2=c^2

8 0

3 years ago

The town of Hayward (CA) has about 50,000 registered voters. A political research firm takes a simple random sample of 500 of th

Ilia_Sergeevich [38]

Answer:

(0.0757;0.1403)

Step-by-step explanation:

1) Data given and notation

Republicans =115

Democrats=331

Independents=54

Total= n= 115+331+54=500

$\hat p_{ind}=\frac{54}{500}=0.108$

Confidence=0.98=98%

2) Formula to use

The population proportion have the following distribution

$\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the population proportion is given by this formula

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

We have the proportion of independents calculated

$\hat p_{ind}=\frac{54}{500}=0.108$

We can calculate $\alpha=1-conf=1-0.98=0.02$

And we can find $\alpha/2 =0.02/2=0.01$ , with this value we can find the critical value $z_{\alpha/2}$ using the normal distribution table, excel or a calculator.

On this case $z_{\alpha/2}=2.326$

3) Calculating the interval

And now we can calculate the interval:

$0.108 - 2.326\sqrt{\frac{0.108(1-0.108)}{500}}=0.0757$

$0.108 + 2.326\sqrt{\frac{0.108(1-0.108)}{500}}=0.1403$

So the 98% confidence interval for this case would be:

(0.0757;0.1403)

7 0

3 years ago