All categories

3 years ago

the ratio of dogs to cats at the local pet store is 5 to 8. if there are 96 cats, how many dogs are there?

Mathematics

1 answer:

aliya0001 [1]3 years ago

5 0

Answer:

60:96

Step-by-step explanation:

Divide 96 by 8 to get 12

Multiply 5 by 12 which equals 60

You might be interested in

Please solve the equation X^2+3x+3=0

Degger [83]

x² + 3x + 3 = 0

I can tell by looking that there's no easy way to factor the left side,
so we'll have to use the Quadratic formula.

Before doing that, let's just take a look at the discriminant:

( B² - 4AC ) = (9) - (4 x 3 x 1) = (9 - 12) = -3 .
The discriminant is negative, so we know that the roots will be complex conjugates.

Again: x² + 3x + 3 = 0

x = (1/2) [ -3 plus or minus the square root of (-3) ]

x = -3/2 + (1/2) j√3
and
x = - 3/2 - (1/2) j√3

4 0

3 years ago

jade and eliza went shopping at the mall Jade spent $10 more than five times and that Eliza spent jade spent a total of $150 wit

Anna71 [15]

Answer:

The equation that represent the given situation is $150=5x+10$

The amount that Eliza spent was $28

Step-by-step explanation:

The correct question is

Jade and Eliza went shopping at a mall. Jade spent $10 more than 5 times the amount that Eliza spent. Jade spent a total of $150.With equation represents a given situation and what was the amount that Eliza spent

Let

x ---> the amount that Eliza spent

y ---> the amount that Jade spent

we know that

$y=5x+10$ ----> equation A

$y=150$ ---> equation B

substitute equation B in equation A

$150=5x+10$ ---> equation that represent the given situation

Solve for x

subtract 10 both sides

$5x=150-10$

$5x=140$

divide by 5 both sides

$x=28$

therefore

The amount that Eliza spent was $28

3 0

3 years ago

How do you solve the area for a trapezoid?

ehidna [41]

A= 1/2 (b1+b2) • h
Add one base by the other base then multiply the height and 1/2

4 0

3 years ago

Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 17 cans of the so

LiRa [457]

Answer:

a)Null Hypothesis: $\sigma^2 \geq 0.0196$

Alternative hypothesis: $\sigma^2$

b) $\chi^2 =\frac{17-1}{0.0196} 0.0121 =9.878$

c) $p_v =P(\chi^2$

d) If we compare the p value we see that is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can't say that the true deviation is significantly lower than 0.14

Step-by-step explanation:

Data given

$n=17$ represent the sample size

$\alpha=0.01$ represent the confidence level

$s^2 =0.11^2 = 0.0121$ represent the sample variance obtained

$\sigma^2_0 =0.14^2 = 0.0196$ represent the value that we want to test

Part a System of hypothesis

On this case we want to check if the population deviation is lower than 0.14, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \geq 0.0196$

Alternative hypothesis: $\sigma^2$

Part b: Calculate the statistic

The statistic is given by:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And replacing we got:

$\chi^2 =\frac{17-1}{0.0196} 0.0121 =9.878$

Part c: Calculate the p value

In order to calculate the p value we need to find first the degrees of freedom , on this case 17-1=16. And since is a left tailed test the p value would be given by:

$p_v =P(\chi^2$

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(9.878,16,TRUE)"

Part d: Conclusion

If we compare the p value we see that is higher than the significance level so then we have enough evidence to FAIL to reject the null hypothesis and we can't say that the true deviation is significantly lower than 0.14

8 0

3 years ago

Sharon mowed eight lawns in four hours at the rate how long would it take her to now ten lawns ?plz help(18points) it has to do

ivanzaharov [21]

(8/4) = (10/x)
8x = 4 x 10
8x= 40
x = 40/8
x=5
It will take 5 hours.

7 0

3 years ago

Read 2 more answers

the ratio of dogs to cats at the local pet store is 5 to 8. if there are 96 cats, how many dogs are there?​

the ratio of dogs to cats at the local pet store is 5 to 8. if there are 96 cats, how many dogs are there?