Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14

Step-by-step explanation:

153 - 21 = 132

132 / 11 = 12

Hence 24 students got A+, 48 students got A, and 60 students got B+.

Answer:

112

Step-by-step explanation:

2(-3+63)-4(2)

112

Answer:

I think that it is 112

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Total income = $588

Step-by-step explanation:

Given:

Weekly salary = $330

Commission = 6%

Total sales = $4,300

Find:

Total income

Computation:

Total commission = $4,300 x 6%

Total commission = $258

Total income = Weekly salary + Total commission

Total income = $330 + $258

Total income = $588

Answer:

thanks for ze points

Step-by-step explanation:

wish I could help but im rly bad at math so :(

Answer:

10 months

Step-by-step explanation:

Step one

Given

Chuck has $500

Chuckle wants to save $100 monthly

Let the number of months be x

And the total be y

So

Y=500+100x--------1

Holy has $500

Chuckle wants to save $500 monthly

Let the number of months be x

And the total be y

So

Y=1000+50x--------2

Equate 1 and 2

500+100x=1000+50x

1000-500=100x-50x

500=50x

x=500/50

x=10

Answer:

The  decision rule is

Fail to reject the null hypothesis

The conclusion is  

    The is no sufficient evidence to support the claim that the less than 1% of the cards are defective

Step-by-step explanation:

From the question we are told that

     The sample size is  [tex]n = 600[/tex]

      The population proportion of defective samples is p =  0.01

       The sample proportion of defective samples is  [tex]\^ p = 0.03[/tex]

       The level of significance is [tex]\alpha = 0.01[/tex]

The null hypothesis is [tex]H_o : p = 0.01[/tex]

The alternative hypothesis is  [tex]H_a: p < 0.01[/tex]

      Generally the test statistics is mathematically represented as

                  [tex]t = \frac{\^ p - p }{ \sqrt{ \frac{p( 1 - p )}{n} } }[/tex]      

=>              [tex]t = \frac{0.03 - 0.01 }{ \sqrt{ \frac{0.01( 1 - 0.01 )}{600} } }[/tex]

=>              [tex]t = 0.00406[/tex]

From the z table  the area under the normal curve to the left corresponding to  0.00406   is

         [tex]p-value = P(Z < 0.00406 ) = 0.50162[/tex]

comparing the p-valve and the level of significance we see that the

           [tex]p-value > \alpha[/tex]     hence  

The  decision rule is

Fail to reject the null hypothesis

The conclusion is  

    The is no sufficient evidence to support the claim that the less than 1% of the cards are defective

Answer:

Cats as pet in 2015 = 6 million

Step-by-step explanation:

Given:

Cats as pet in 1995 = 57 million

Cats as pet in 2003 = 61 million

Find:

Cats as pet in 2015

Computation:

Difference in year = 2003 - 1995

Difference in year = 8 year

Difference in year = 2015 - 2003

Difference in year = 2015 - 2003

Difference in year = 12 year

Difference in number = 61 - 57

Difference in number = 4 million

So,

Cats as pet in 2015 = 4 million x [12/8]

Cats as pet in 2015 = 6 million

Answer:

i) The probability of getting 50 cent coin is 5/18, or approximately 28%

ii) To scale the numbers up to let us have 65 fifty cent coins, there would be a total of 234 coins

Step-by-step explanation:

We are told the probability of choosing ten and 20 cent coins, and from that we can work out the probability for the 50 cent coin.  All we need to do is add up the other two probabilities and subtract them from 1.

[tex]p = 1 - (\frac{1}{3} + \frac{7}{18})\\p = 1 - (\frac{6}{18} + \frac{7}{18})\\p = 1 - \frac{13}{18}\\p = \frac{5}{18}\\[/tex]

So the chance of getting a 50 cent coin is five eighteenths, or approximately 28%

For the second question We are asked to find the total number of coins if there are 65 fifty cent coins. (I can't see the text below that, but presumably it's saying that the ratios will stay the same).

We can solve this by comparing the two ratios, with x as the total, and solving for x:

[tex]\frac{5}{18} = \frac{65}{x}\\5x = 65 * 18\\x = 13 * 18\\x = 234[/tex]

So to keep the same ratios and have 65 fifty cent coins, we would need a total of 234 coins.

The expression can be written as 24 (2+3).

The distributive property is also known as the distributive law of multiplication over addition and subtraction. The name itself signifies that the operation includes dividing or distributing something. The distributive law is applicable to addition and subtraction. Let us learn more about the distributive property in this page.

The distributive property states that an expression which is given in form of A (B + C) can be solved as A × (B + C) = AB + AC. This distributive law is also applicable to subtraction and is expressed as, A (B - C) = AB - AC. This means operand A is distributed between the other two operands.

Given:

48 + 72

Now, factorize the above into prime factors

48 = 2 x 2 x 2 x 2 x 3

and, 72 = 2 x 2 x 2 x 3 x 3

Now, rewriting

48 + 72

=  2 x 2 x 2 x 2 x 3 + 2 x 2 x 2 x 3 x 3

= 2 x 2 x 2 x 3 (2 + 3)

=24 (2+3)

Hence, the expression can be written as 24 (2+3).

Learn more about Distributive property here:

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Answer:

Yes this is right (Hope this helps)

Step-by-step explanation:

(Brainliest)

Answer:

31

Step-by-step explanation:

2x+5+3x-9+x-2=180

or, 6x-6=180

or, 6x=180+6

or, x=186/6

or, x=31

please mark me as brainliest

Answer:

For every 13 rocks, there is 4 diamonds

Step-by-step explanation:

Answer:

for every 13 dogs there are 4 cats

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

the factors of 864 are 1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

the underlined are perfect squares

144 is the biggest

Answer:

-1

Step-by-step explanation:

Given the equation :

2(3x – 1) > 4x – 6

Open the bracket :

6x - 2 > 4x - 6

Collect like terms

6x - 4x > - 6 + 2

2x > - 4

Divide both sides by 2

2x /2 > - 4/2

x > - 2

Since x > - 2

-10, - 5, - 3 are all < - 2

Hence, the only option greater than - 2 is - 1

Answer:

5) 8/17 = .471

7) 8/17 = .471

8) 15/17 = .88

Step-by-step explanation:

hope that helps

Answer:

5. [tex]\frac{\sqrt{2} }{2}[/tex]

7. [tex]\frac{\sqrt{2} }{2}[/tex]

8.[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

angles in a triangle equal 180 degrees. it is a right angle triangle so one angle is 90 degrees. both the other two are 45 each

5. cos(d)=cos(45)

7. sin(f)=sin(45)

8.cos(f)=cos(45)

The cost of the hamburger and hot dog will be $10.4 and $7.25, respectively. Then the correct option is D.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

At the school carnival, the soccer team sold hamburgers and hot dogs. A person buying one hamburger and one hot dog will spend $17.65. The soccer team sold 22 hamburgers and 39 hot dogs and made $511.55.

Let x be the cost of hamburgers and y be the cost of hot dogs. Then the equation will be

x + y = 17.65                ...1

22x + 39y = 511.55     ...2

Solve the equations, then we have

22(17.65 - y) + 39y = 511.55

388.3 - 22y + 39y = 511.55

17y = 123.25

y = $7.25

Then the value of x will be

x + 7.25 = 17.65

x = 17.65 - 7.25

x = $10.40

The cost of the hamburger and hot dog will be $10.4 and $7.25, respectively. Then the correct option is D.

More about the linear equation link is given below.

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Answer:

4

Step-by-step explanation:

Answer:

The answer is graph b

Step-by-step explanation:

If you look at the other graphs closely, you'll find that they are wrong because they are not in correlation with the inequalities given

I hope it helps

Answer:

Expanded Notation: 7,425=7,000+400+20+5

Expanded Factors: 7,425=7*1,000+4*100+2*10+5*1

Expanded Exponential: 7,425 =7 × 103+4 × 102+2 × 101+5 × 100

Word: seven thousand four hundred twenty-five

Step-by-step explanation:

Hope this helped, Have a Wonderful Day/Night!!

Answer:

Y= 2/4x + -3

Step-by-step explanation:

Answer:

$12.00 all together.

Step-by-step explanation:

there is only 2 people him and his sister.

They both purchase 2 ticket for $1.25

so 4 tickets all together

1.25x4=$5

They they both get one soda for $3.50

$3.50+$3.50=$7

$7+$5=12

So they spent $12

Answer:

negative 16

Step-by-step explanation:

the numbers skip by 20

Answer:

-4

Step-by-step explanation:

If you look at the table closely for the value of x decreases by 2 like the first value is 7 then it goes to 5 then it goes to 3 then to 1, and if you look at the values of y it decreases by 20 like the first number is 66 then 46 then 26 then 6.

But in the table it asks the missing value of y when x is 0 not -1 so for difference of 1 instead of the usual 2 in the pattern the value of y would decrease by 10 instead of 20 so 6-10 would be -4

so the missing value of y is -4

Answer:

Isosceles right

Step-by-step explanation:

It's a right triangle because one of the angles is 90 degrees

It's isosceles because two sides are 5.57

Answer:

she has 228 in all. but i do not know how much she has after she ate some

Answer:

x = 1.155

x = -1.155

Step-by-step explanation:

4x² = x² + 4

4x² - x² = 4

3x² = 4

[tex] \frac{ {3x}^{2} }{3} = \frac{4}{3} [/tex]

[tex] {x}^{2} = \frac{4}{3} [/tex]

[tex]x = + - \sqrt{ \frac{4}{ 3} } [/tex]

[tex]x = \sqrt{ \frac{4}{3} } \: or \: 1.155[/tex]

[tex]x = - \sqrt{ \frac{4}{3} } \: or - 1.155[/tex]

Answer:

y=2.50x+500

x= number of calenders

y= total cost

Cameron can make 1150 calanders

9. y=5x

Step-by-step explanation:

2.5 x 1150 + 500 =3375