4x-3y=20
2x+y=30
Use the two equations above, solve for y.

Answer:

22-4=18

Step-by-step explanation:

Answer:

9 girls

Step-by-step explanation:

First we know from the information there are 22 kids in total.

Next we know 11+11=22 so one number would be 2 more than the other.

So 13+9=22

Therefore, there is 9 girls in Sally's town.

Answer:

The working is done in the image attached.

Answer:

Today, kai ran 1 3/5 kilometers.

Step-by-step explanation:

im sorry if this is incorrect.

Answer:

15/16

Step-by-step explanation:

4/5 x=3/4

x=(3/4)/(4/5)

x=15/16

Answer/Step-by-step explanation:

Factor this. GCF=2

2(2cos2x+cos x-1)=0

2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve

2cos x -1=0 Add 1 to both sides

2cos x =1 Divide by 2

cos x =1/2

x=π/3

x=5π/3

cos x+1=0 Subtract 1 from both sides

cos x=-1

x = π

Answer:

d/ ( a+b) = x

Step-by-step explanation:

d=ax+bx

Factor out x

d = x( a+b)

Divide each side by (a+b)

d/ ( a+b) = x (a+b)/ (a+b)

d/ ( a+b) = x

Answer:

b

Step-by-step explanation:I hope this helps

respondo por qué el juego me lo diste 2+24

Answer:

Step-by-step explanation:

Equation in slope-intercept form:

Substitute values:

multiplicative would be ;

-12 ------> 1/-12

Answer:

7/18

Step-by-step explanation:

4 2/3=14/3

(14/3)/12=14/36

reduces to

7/18

Answer:

9632

or

9966

Step-by-step explanation:

im not 100% sure

Answer:

A total of  8 (eight) completely filled cups.

Step-by-step explanation:

Recall that 1 milliliter is the SAME as 1 cubic cm. Therefore, the 275 ml cup holds exactly 275 cm^3 of water.

Now calculate the volume of water in the container. Since the container measures 19 cm x 6 cm x 30 cm, its total volume is:

Volume = 19 x 6 x 30 = 3420 cm^3

The amount of water in it fills 2/3 of its volume, then:

amount of water = 2/3 (3420) = 2280 cm^3

Now to find how many cups can be filled with such amount of water, we do the division:

2280 / 275 = 8.29

Then the maximum number of completely filled cups is: 8

Answer:

let x be the number then,

according to question ,

10+4x=73-3x

or, 4x+3x=73-10

or, 7x= 63

or, x= 63÷7

or,x=9 ans

hence , the number is 9

Answer:

20000

Step-by-step explanation:

115%-> 23000

100%->20000

Step-by-step explanation:

4,5,6 do not form a right angle triangle cus 4²+5² is not equal to 6² i.e 16+25is not equal to 36

Yes 5.3 is greater than 5

5.3 > 5

Answer:

yes, it is.

Step-by-step explanation:

its a solution because in the graph below, 5.3 is in the shaded region. hope this helped!!

Given:

27y and 54y³

​To find:

The highest common factor (HCF) using prime factorization.

Solution:

We have,

27y and 54y³

Using the prime factorization, we get

[tex]27y=3\cdot 3\cdot 3\cdot y[/tex]

[tex]54y^3=2\cdot 3\cdot 3\cdot 3\cdot y\cdot y\cdot y[/tex]

Now, the common prime factors are 3, 3, 3 and y. So,

[tex]HCF=3\cdot 3\cdot 3\cdot y[/tex]

[tex]HCF=27y[/tex]

Therefore, the highest common factor of the given terms is 27y.

Answer:

it makes sense

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

what is the 4 in for?

Answer:

2+1=3

I think you copy pasted something else like the '4 in'.

Step-by-step explanation:

Answer:

0.0003 = 0.03% probability that the mean price per gallon is less than ​$2.812​

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Finite correction factor:

If the sample is more than 5% of the population, instead of Central Limit Theorem, we use the finite correction factor, as the standard deviation of the sampling distribution would be too big.

The mean price for regular gasoline at the pump was $2.816 per gallon and the standard deviation was ​$0.008 per gallon.

Large sample, so this can be treated as the population data. Then [tex]\mu = 2.816, \sigma = 0.008[/tex]

Sample of 45:

45/800 = 0.056 = 5.6% -> Sample more than 5% of the population, so we use the finite correction factor. This means that s will be multiplied by:

[tex]FCF = \sqrt{\frac{N-n}{N-1}}[/tex]

In which n is the size of the sample(45) and N is the size of the population (800). So

[tex]FCF = \sqrt{\frac{755}{799}} = 0.9721[/tex]

By the Central Limit Theorem, [tex]n = 45, s = 0.9721*\frac{0.008}{\sqrt{45}} = 0.00116[/tex]

What is the probability that the mean price per gallon is less than ​$2.812​?

This is the pvalue of Z when X = 2.812. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{2.812 - 2.816}{0.00116}[/tex]

[tex]Z = -3.45[/tex]

[tex]Z = -3.45[/tex] has a pvalue of 0.0003

0.0003 = 0.03% probability that the mean price per gallon is less than ​$2.812​

Answer:

4 percent

Step-by-step explanation:

because the new value is greater than the old value

The Answer is  4 percent

Answers:

Triangle ABC is an acute triangle. It's also a scalene triangle.

====================================================

Work Shown:

x = measure of angle B

2x+2 = measure of angle A, since we're told its "2 more than twice angle B"

2x-7 = measure of angle C, for similar reasoning

The three angles add to 180. This is true for any triangle

A+B+C = 180

(2x+2)+(x)+(2x-7) = 180

5x-5 = 180

5x = 180+5

5x = 185

x = 185/5

x = 37

This means angle B is 37 degrees. The other two angles are

A = 2x+2 = 2*37+2 = 74+2 = 76

C = 2x-7 = 2*37-7 = 74-7 = 67

----------------

In summary, we have these three interior angles

As a way to check, note how A+B+C = 76+37+67 = 180. This confirms the answer. All three angles mentioned are smaller than 90 degrees, so this triangle is acute.

Furthermore, because all three angles are different measures, this means all three sides are different lengths. This leads to triangle ABC being scalene.

Answer:

d

Step-by-step explanation:

Answer:

E)

Step-by-step explanation:

1 - (69,000 / 42,000) = .64285 * 100% = 64.3%

Answer:

0

Step-by-step explanation:

Use discramnt formula

[tex]b {}^{2} - 4ac[/tex]

Where 6 is a, 11 is b and 9 is c

[tex]11 {}^{2} - 4(6)(9) [/tex]

[tex]121 - 216 = - 95[/tex]

Since the discramnt is negative, there are no real solutions and it will only produce imaginary solutions