solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbol. 2x+5y=16, -5x-2y=2

Answer:

the answer is A

Step-by-step explanation:

did it not the long ago

Answer:

the answer is 19!

To make it easier you can also use an online calculator or if you have one in real life you can use it! You can also do it on paper!

Have a great day! :) <3

Answer:

Grace

Step-by-step explanation:

48 is the LCM, 4 is the GCF

Answer:

C. 4x-8=12

Step-by-step explanation:

1/8*32x-(1/8*64) =12

4x-8=12

Answer:

52in^2

Step-by-step explanation:

The area of a triangle is A= 1/2bh

The area of a rectangle is A=lw

The base of the top triangle would be the length of the base of the two right triangles plus the length of the width of the the rectangle.

A=1/2bh

A=1/2(2+2+4)(4)

A=1/2(8)(4)

A=1/2(32)

A=16in^2

        2. The two right triangles

A=1/2bh

A=1/2(2)(6)

A=1/2(12)

A=6in^2

(Because the two triangle are the same we just multiply the area by 2 to get the value of both)

A=12in^2

       3. The rectangle

A=lw

A=6(4)

A=24in^2

-

Now just add the value of the areas for the different shapes.

16in^2 + 12in^2 + 24in^2 = 52in^2

Answer:

A,C,D i believe

Step-by-step explanation:

Answer:

25 quarters and 64 dimes

Step-by-step explanation:

25 times 25 = 6.25 remaining 64 coins being dimes

64 times 10 = 6.40 added to the 6.25 = 12.65 in 89 coins

Answer:

factor of hundred is

100 - 1, 2,4,5,10,100

Answer:

15 + x(.5) = 24 ; x = 18

Step-by-step explanation:

15 + 18(.5) = 24

15 + 9 = 24

Step-by-step explanation:

t is the number of ride tickets she can buy.

=>

\(15 + t \times 0.5 \leqslant 24\)

she has to pay $15 just for entering. the rest of the money she can use for ride tickets.

so, whatever she does, she has to stay inside the $24 limit, as she does not have more money.

the $15 admission goes off the $24 available money. that leaves $9.

each ride ticket costs $0.50, so she can buy max. 9/0.5 = 18 tickets. she can buy fewer tickets, but she cannot buy more than these 18 tickets.

so, again

\(15 + t \times 0.5 \leqslant 24\)

\(t \times 0.5 \leqslant 24 - 15 = 9\)

\(t \times 0.5 \leqslant 9\)

\(t \leqslant 9 \div 0.5 = 9 \div (1 \div 2) = 2 \times 9 \div 1 \\ = 18\)

\(t \leqslant 18\)

Answer:

d

Step-by-step explanation:

Answer:    $1,147.20.

Step-by-step explanation:

The total amount accrued for principal plus interest in the calculation simple interest

= principal * (1+ rate * number of years)

= $800 *(1+ 6.2% * 7)

= $1,147.20.

Hopefully his helped, if not HMU and I will try my best to get u a better answer! :)

Answer: (x+2)²+(y+1)²=1

Step-by-step explanation:

                               Circle equation

                      \(\boxed {(x-x_o)^2+(y-y^0)^2=R^2}\)

O(-2,-2)       A(-3,-1)

Hence,

\((x-(-2))^2+(y-(-1))^2=R^2\\(x+2)^2+(y+1)^2=R^2\\\)

                             Line length formula

                        \(\boxed {L^2=(x_2-x_1)^2+((y_2-y_1)^2}\)    

x₁=-2    x₂=-3    y₁=-1     y₂=-1

AO²=(-3-(-2))²+(-1-(-1))²

AO²=(-3+2)²+(-1+1)²

AO²=(-1)²+0²

AO²=1+0

AO²=1

AO=R

Hence,  

R²=1²

R²=1

Answer:

16.0425

Step-by-step

%15 tips= 2.0925

To find the Fourier series of f(x) on the interval [−2,2], we need to find the coefficients of Fourier series. Given f(x) = {-1/2, -2 ≤ x ≤ 0; 0, 0 ≤ x ≤ 2} with period 4.

The coefficient of the Fourier series can be obtained by using the following formulas: a₀ = (1/T) ∫Tₒf(x)dx

an = (2/T) ∫Tₒf(x)cos(nπx/T)dx and bn = (2/T) ∫Tₒf(x)sin(nπx/T)dx where, T = period of the function and Tₒ = one full period of the function.

Here, Tₒ = 4, so we can write the above formulas as follows: a₀ = (1/4) ∫₋₂²f(x)dx

an = (2/4) ∫₋₂²f(x)cos(nπx/4)dx and bn = (2/4) ∫₋₂²f(x)sin(nπx/4)dx

Now, we will find the coefficients of the Fourier series for f(x) as follows: a₀ = (1/4) ∫₋₂²f(x)dx

= (1/4) [∫₋₂⁰(-1/2)dx + ∫⁰²(0)dx]

= (1/4) [(x/2)₋₂⁰ + 0]

= (-1/4)an

= (2/4) ∫₋₂²f(x)cos(nπx/4)dx

= (1/2) [∫₋₂⁰(-1/2)cos(nπx/4)dx + ∫⁰²(0)cos(nπx/4)dx]

= (1/2) [-(1/2nπ)sin(nπx/4)]₋₂⁰ + 0

= (1/2) [sin(nπ/2) − sin(nπ)]

= (1/2) [sin(nπ/2)] (since sin(nπ) = 0 for all n)

bn = (2/4) ∫₋₂²f(x)sin(nπx/4)dx

= (1/2) [∫₋₂⁰(-1/2)sin(nπx/4)dx + ∫⁰²(0)sin(nπx/4)dx]

= (1/2) [(2/πn)cos(nπx/4)]₋₂⁰ + 0

= (1/2) [(2/πn)(cos(ⁿπ) − cos(ⁿπ/2))] (since cos(ⁿπ) = 1 for even n and -1 for odd n, and cos(ⁿπ/2) = 0 for all n)

= (1/2) [(2/πn)(1 − cos(ⁿπ/2))] (for even n)or (1/2) [(2/πn)(-1 + cos(ⁿπ/2))] (for odd n)or (1/2) [(2/πn)(-1)ⁿ(1 − cos(ⁿπ/2))]

Hence, the Fourier series of f(x) on the interval [−2,2] is given by f(x) = (-1/4) + Σn=1∞ [(1/2)sin(nπx/2) − (1/2)(-1)ⁿ(1 − cos(nπ/2))/nπ]

To know more about Fourier series visit:-

https://brainly.com/question/31046635

#SPJ11

Answer:

8/15

Step-by-step explanation:

4x2=8

5x3=15

Answer:

8/15

Step-by-step explanation:

First you multiply 4 by 2 and 5 by 3

4*2 = 8

5*3 = 15

Finally you have your answer!

8/15

The time it takes to paint the whole bookcase is 50 minutes.

From the information, Wilson paints 40% of a bookcase in 20 minutes.

Let the time taken to paint the whole bookcase be x. This will be illustrated as:

20/x = 40/100

Cross multiply

40x = 100 × 20

40x = 2000.

Divide

x = 2000 / 40

x = 50

The time taken is 50 minutes.

Learn more about percentages on:

brainly.com/question/24304697

#SPJ1

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

To learn more about Binomial coefficients:

https://brainly.com/question/14216809

https://brainly.com/question/23478253

#SPJ4

The critical value of the test statistic t for a one-tailed (upper tail) hypothesis test with a sample size of 26 and a significance level of 0.01 is 2.479. This value is used to determine whether the sample data provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

If the calculated test statistic is greater than 2.479, it falls into the critical region, and we reject the null hypothesis. Conversely, if the calculated test statistic is less than 2.479, it does not fall into the critical region, and we fail to reject the null hypothesis. The critical value is determined based on the desired level of significance and the degrees of freedom, which in this case is 26 - 1 = 25. For a one-tailed test with a significance level of 0.01, we need to find the t-value that corresponds to the 0.99 percentile of the t-distribution with 25 degrees of freedom. By consulting the t-distribution table or using statistical software, we find that the critical value is 2.479. This means that the calculated test statistic must be greater than 2.479 for us to reject the null hypothesis in favor of the alternative hypothesis at the 0.01 significance level in the upper tail of the distribution.

learn more about test statistic here: brainly.com/question/32145077

#SPJ11

This means that Katie can ride no more than 2 miles if she has no more than $7 to spend on the ride.

Let's use "m" to represent the number of miles that Katie can ride.

The problem statement specifies that the total cost of the ride cannot exceed $7. To illustrate this, we can use the inequality shown below:

4 + 1.5m ≤ 7

The total cost of the ride, which consists of the $4 flat fee + $1.5 per mile, is shown on the left-hand side of the inequality. According to the law, the final price must be less than or equal to $7, which is the most Katie can pay for the ride.

To solve for m, we can subtract 4 from both sides of the inequality and then divide both sides by 1.5:

1.5m ≤ 3

m ≤ 2

Therefore, the inequality that represents the number of miles Katie can ride is:

m ≤ 2

This means that Katie can ride no more than 2 miles if she has no more than $7 to spend on the ride.

for such more question on inequality

https://brainly.com/question/17448505

#SPJ11

Answer:

h(x) will be continuous on [0,5] when the value of

k= 4

Step-by-step explanation:

For making h(x) continuous we need to ensure that the functions, kx and x+3 should meet at the point x=1.

For continuity, the left-hand limit and the right-hand limit of h(x) to be equal at x = 1.

Left-hand limit:

lim(x→1-) h(x) = lim(x→1-) kx = k(1) = k

Right-hand limit:

lim(x→1+) h(x) = lim(x→1+) (x + 3) = 1 + 3 = 4

The function to be continuous at x = 1, the left-hand limit and right-hand limit must be equal. Therefore, we need k = 4.

Therefore, for h(x) to be continuous on [0, 5], the value of k must be 4.

To learn more about continuity

https://brainly.com/question/31166638

Therefore, the value of k that makes h(x) continuous on [0,5] is k = 4

We have been given a piecewise-defined function h(x) that needs to be continuous on [0, 5]. We have to determine the value of k that will make h(x) continuous. Let's begin by checking if the function is continuous at

x = 1. lim h(x)

as x approaches 1 from the left (i.e., from the interval [0,1)) is equal to

h(1-) = k(1) = k. lim h(x)

as x approaches 1 from the right (i.e., from the interval [1,5]) is equal to

h(1+) = 1+3 = 4.

For the function to be continuous at x = 1, h(1-) must be equal to h(1+), i.e., k = 4. Therefore, the value of k that makes h(x) continuous on [0,5] is k = 4. The value of k that makes h(x) continuous on [0,5] is k = 4.

Therefore, the value of k that makes h(x) continuous on [0,5] is k = 4

To know more about function visit :

https://brainly.com/question/11624077

#SPJ11

There are 21 different book choice combinations possible for Helen to select 2 books from a list of 7 books.

To calculate the number of different book choice combinations, we can use the formula for combinations, which is given by C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be selected. In this case, Helen has 7 books to choose from and she plans on reading 2 books. So, we can substitute n = 7 and r = 2 into the formula.

C(7, 2) = 7! / (2!(7-2)!) = (7 * 6 * 5!) / (2 * 1 * 5!) = (7 * 6) / (2 * 1) = 42 / 2 = 21.

Therefore, there are 21 different book choice combinations possible for Helen. She can select any 2 books out of the 7 books on her reading list in 21 different ways.

Learn more about combinations here:

https://brainly.com/question/30777794

#SPJ11

Answer:

the total cost is $86.40

Answer:

Step-by-step explanation:

hello :

put  a=-3    and  n=4   in :  3n2 – 2an

you have : 3(4)² – 2(-3)(4) =3(16)+6(4) =48+24 = 72

Answer:

\(3^{4}\)

Step-by-step explanation:

                 81

               27    3

            9  3    

        3  3

3*3*3*3 = \(3^{4}\)

Answer:

65.2%

Step-by-step explanation:

~Hope this helps~

Answer:

a. -4

b. 1/4

Step-by-step explanation:

a. \(\textrm{slope}_{||} = \dfrac{\textrm{rise}}{\textrm{run}} = \dfrac{-4}{1} = -4\)

b. \(\textrm{slope}_\perp = \dfrac{-1}{\textrm{slope}_{||}} = \dfrac{-1}{-4} = \dfrac{1}{4}\)

Probability of choosing the biased coin if you won a prize is 0.30

Let "B" be the event of selecting biased coin and "H" be the event of getting head.

P(B) = 0.5

P(getting head when coin was biased) = 100% - 78%

= 22% = 0.22

Using conditional Probability that biased coin was selected given that you have won the prize that is getting head

we have to calculate ,

P(B | H ) = P(B∩H)/P(H)

here , P(B∩H) = P(biased coin selected and getting head) = 0.5 × 0.22

and P(H) = P(getting head)

P(getting head when coin was biased) + P(getting head when coin was unbiased) = 0.5 × 0.22 + 0.5 × 0.5

putting all together ,

P(B | H ) = P(B∩H)/P(H) = 0.5 × 0.22 / 0.5 × 0.22 + 0.5 × 0.5

cancelling 0.5 from numerator and denominator

= 0.22 / 0.5+ 0.22

= 0.22 / 0.72 = 22/72

=0.30

To know more about Conditional Probability here ,

https://brainly.com/question/11896081

#SPJ4

Answer:

(0,-2)

(2,-1)

(4,0)

Step-by-step explanation:

The points are the above ones.

x intercept: (4, 0)

y intercept: (0, -2)