Tamara bought yarn for $39 and 2 pairs of knitting needles. Her total cost for the yarn and knitting needles was $69. Tamara writes an equation that represents the cost of each pair of knitting needles. If k represents the cost of each pair of knitting needles, which statements about verifying the value of k are true? Check all that apply.
Tamara should substitute k = 30 into the equation 39 + 2 k = 69.
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is equal to the right side.
Tamara should substitute k = 15 into the equation 39 + 2 k = 69.
After she substitutes the correct value for k into the equation, Tamara should find that the left side of the equation is not equal to the right side.
To verify the solution to the equation, Tamara multiplies the solution by 2 and then adds it to 39. Then, she checks that it is equal to 69.
To verify the solution to the equation, Tamara adds the solution to 2 and then adds it to 69. Then, she checks that it is equal to 39.

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Answer:

  16 inches

Step-by-step explanation:

The sum of length and width is half the perimeter, so is 36 inches.

The width is 4/(4+5) = 4/9 of the total of length and width, so is ...

  (4/9)(36 inches) = 16 inches

The width of the rectangle is 16 inches.

Answer:

The bakery sold 340 that day

Step-by-step explanation:

119 is 35 percent of 340

Answer:

The table that starts with (-3, -1)

Step-by-step explanation:

For a table to represent a function the x value has to be different number. Such as, the other tables one has two -5, two -2, two -4 and etc. Do you get it

Answer: the first box

-3       -1

0         0

-2         -1

8          1

Step-by-step explanation:  the x value can not repet it self but the y value can

Answer:

a...................

Answer:

Positive discriminant = 2 real solution

x= -5,-40

Step-by-step explanation:

The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.

The discriminant is the part of the quadratic formula inside the square root:

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

Every quadratic formula has the structure:

[tex]ax^{2} +bx+c=0[/tex]

So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:

[tex]x^{2} +45x+200=0[/tex]

Our a=1, b=45 and c=200

Now we can substitute these values into the discriminant:

[tex](45)^{2} -4(1)(200)[/tex]

Solve:

[tex]2025-800=1225[/tex]

The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:

[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]

(Same discriminant value)

[tex]x=\frac{-45+/-35}{2}[/tex]

Now to find the two solutions, we use both signs in the equation. Solution 1:

[tex]x=\frac{-45+35}{2}[/tex]

[tex]x=\frac{-10}{2}=-5[/tex]

Our first solution is -5, now for the second:

[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]

The two solution to this equation are -5 and -40.

Hope this helped!

Answer:

6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y

Step-by-step explanation:

Expand the following:

(3 y^3 + 2 y^2 - 7 y) (2 y^2 - 4 y + 4)

| | | | 3 y^3 | + | 2 y^2 | - | 7 y | + | 0

| | | | | | 2 y^2 | - | 4 y | + | 4

| | | | 12 y^3 | + | 8 y^2 | - | 28 y | + | 0

| | -12 y^4 | - | 8 y^3 | + | 28 y^2 | + | 0 | + | 0

6 y^5 | + | 4 y^4 | - | 14 y^3 | + | 0 | + | 0 | + | 0

6 y^5 | - | 8 y^4 | - | 10 y^3 | + | 36 y^2 | - | 28 y | + | 0:

Answer: 6 y^5 - 8 y^4 - 10 y^3 + 36 y^2 - 28 y

Answer:

The second answer

Step-by-step explanation:

Because if you subtract a negative from an equation you get positive (two negatives make a positive)

Answer:

85% of 19 = 16.15

Step-by-step explanation:

Answer:

295

Step-by-step explanation:

After 9 years, Alexander will have $295 in his bank account.

This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.

For Alexander, S = sum of money after the total period of investment.

P = Principle = $240, r = rate of interest = 2.3% compounded annually, n = time period = 9 years.

Now, S = $240(1 + 2.3/100)⁹= $240(1 + 0.023)⁹ = $240(1.023)⁹ = $294.5

≈ $295

Hence, after 9 years, Alexander will have $295 in his bank account.

Learn more about compound interest here: brainly.com/question/25857212

#Tag #SPJ2

Answer: $0.14 per fluid ounce.

Step-by-step explanation: $4.48 divided by 32 = $0.14

Answer: x=-3, y=2

Step-by-step explanation: -2x+y=8 + -3x-y=7 and you get x=-3 then you put that in to x and pick one of the beginning equations i chose to put -3 in to -2(-3)+y=8 and got 6+y=8 then you subtract the 6 on both sides and should get y=2

Answer:

(-3,2)

Step-by-step explanation:

You can solve it by various methods. These two equations can be solved simultaneously or by matrix method, or even by graphing

Simultaneous is easier so lets get started.

1st equation  : [tex]-2x+y=8[/tex]

2nd equation: [tex]-3x-y=7[/tex]

We solve it by using the substitution method which means there are two variables x and y and we substitute one variable in form of another variable.

Like, take the 1st equation

[tex]-2x+y=8\\y=8+2x[/tex]

the equation is arranged in a different manner but its the same thing.

This new equation becomes our new third equation and now we simply put our third equation in our 2nd equation. Like this, take the 2nd equation and substitute it with our 3rd third equation

[tex]-3x-y=7\\-3x-7=y\\-3x-7=8+2x\\-3x-2x=8+7\\-5x=15\\x=-3[/tex]

we get x=-3 and then we put the value of x and in our third equation to get the value of y or we can simply put it in any equation 1st , 2nd , 3rd it will give the same answer. I chose third.

[tex]y=8+2x\\y=8+2(-3)\\y=8-6\\y=2[/tex]

The solution set of our system of linear equations is

(-3,2)

Density of fresh egg = 1.2 g/cm³.

Density of spoiled egg = Density of fresh egg   - 0.3 g/cm³.

Density of spoiled egg =( 1.2 - 0.3 ) g/cm³ = 0.9 g/cm³.

Now, it is given that any object with density less than 1 g/cm³ will float on water.

To tell whether an egg is spoiled or not using water. We should drop egg in water if it float then it is spoiled else it is fresh.

Hence, this is the required solution.

Answer:

35502

Step-by-step explanation:

The product will be 35502, 183x100+183x90+183x4=18300+16500+732=35502. Hope it helps!

Answer:

25%

6.5%

35%

Step-by-step explanation:

Given the invoice :

Bill for a pair of Jean

Jeans ______39.99

Discount ___ - 10.00

Subtotal ____ 29.99

Sales tax ____ 1.95

Total _______ 31.94

A) % of discount to the nearest %

Discount amount = % discount * price

10 = x% * 39.99

10/39.99 = x%

0.2500625 = x%

x = 0.2500625 * 100%

% discount = 25%

% of sales tax:

Sales tax amount = % tax * Subtotal

1.95 = x% * 29.99

1.95/29.99 = x%

0.06502 = x%

x = 0.06502 * 100%

x = 6.5%

Markup before discount = 60%

Markup after discount = (60 - 25)% = 35%

Answer:

[tex]x[/tex]-intercept is [tex](68.5,0)[/tex]

[tex]y[/tex]-intercept is [tex](0,44.2)[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes time denoted (in minutes) by a person in jogging.

Let [tex]y[/tex] denotes time denoted (in minutes) by a person in running.

A person is wanting to burn 500 calories a day through exercise. They know that they burn 7.3 calories a minute jogging and 11.3 calories a minute running.

So, equation becomes [tex]7.3x+11.3y=500[/tex]

For [tex]x[/tex]-intercept, put [tex]y=0[/tex]

[tex]7.3x+11.3(0)=500\\7.3x=500\\x=68.5[/tex]

So, [tex]x[/tex]-intercept is [tex](68.5,0)[/tex]

For [tex]y[/tex]-intercept, put [tex]x=0[/tex]

[tex]7.3(0)+11.3y=500\\11.3y=500\\y=44.2[/tex]

So, [tex]y[/tex]-intercept is [tex](0,44.2)[/tex]

Differentiate equation [tex]7.3x+11.3y=500[/tex] with respect to [tex]x[/tex]

[tex]7.3+11.3y'=0\\y'=\frac{-7.3}{11.3}\\ y'=-0.65[/tex]

[tex]x-[/tex]intercept means that a person spends 68.5 minutes in jogging and no time in running.

[tex]y-[/tex]intercept means that a person spends 44.2 minutes in running and no time in jogging.

Answer:

358

Step-by-step explanation:

Answer:

50%

Step-by-step explanation:

Answer:

Wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

let the wonka bars be X

and everlasting gobstoppers be Y

the objective is to

maximize 1.3x+3.2y=P

subject to constraints

natural sugar

4x+2y=60------1

sucrose

x+3y=75---------2

x>0, y>0

solving 1 and 2 simultaneously we have

4x+2y=60----1

x+3y=75------2

multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have

 4x+2y=60

 4x+12y=300

-0-10y=-240

10y=240

y=240/10

y=24

put y=24 in equation 2 we have'

x+3y=75

x+3(24)=75

x+72=75

x=75-72

x=3

put x=3 and y=24 in the objective function we have

maximize 1.3x+3.2y=P

1.3(3)+3.2(24)=P

3.9+76.8=P

80.7=P

P=$80.9

Answer:

wonka bars=3 and  Everlasting Gobstoppers=24

Step-by-step explanation:

Answer:

the answer is 40

Step-by-step explanation:

its simple try and do the link that I put you'll understand how to do this better

Answer:

2,1

Step-by-step explanation:

Answer:

d) 1/2 ÷ 4 = 1/2 • 4/1

Step-by-step explanation:

when dividing fractions use keep change flip (keep the first fraction, change the sign to multiplication, flip the second fraction)

when multiplying just multiply straight across

Answer:

27.20seconds

Step-by-step explanation:

hope this helped,brainliest?

Sum of 5th & 8th terms of an AP = 37

11th term = 32

A.P

We know that,

nth term of an AP – an = a + (n - 1)d

Hence,

⟹ a₅ + a₈ = 37

⟹ a + (5 - 1)d + a + (8 - 1)d = 37

⟹ 2a + 4d + 7d = 37

⟹ 2a + 11d = 37 -- equation (1)

Similarly,

⟹ a₁₁ = 32

⟹ a + (11 - 1)d = 32

⟹ a + 10d = 32

⟹ a = 32 - 10d

Substitute the value of a in equation (1).

⟹ 2(32 - 10d) + 11d = 37

⟹ 64 - 20d + 11d = 37

⟹ 64 - 37 = 20d - 11d

⟹ 27 = 9d

⟹ 27/9 = d

⟹ 3 = d

Substitute the value of d in equation (1).

⟹ 2a + 11(3) = 37

⟹ 2a + 33 = 37

⟹ 2a = 37 - 33

⟹ 2a = 4

⟹ a = 4/2

⟹ a = 2

Now,

General form of an ap = a , a + d , a + 2d...

⟶ Required AP = 2 , 2 + 3 , 2 + 2(3)...

⟶ Required AP = 2 , 5 , 2 + 6...

⟶ Required AP = 2 , 5 , 8...

I hope it will help you.

Regards.

Answer:

→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]

→ 4md - 2nd = 2 * [ a + (n - 1)d ]

→ 2(2md - nd) = 2 * (a + nd - d)

→ 2md - nd - a + d = nd

→ 2md - nd - (md - 2nd) + d = nd

[ From equation (1) ]

→ 2md - nd - md + 2nd + d = nd

→ md + nd + d = nd

→ (m + n + 1)d = n * d

→ (m + n + 1) = n

Step-by-step explanation:

Answer:

x = -6

Step-by-step explanation:

I hope this helps!

Answer:

x= -6

Step-by-step explanation:

3/2x+8-8=-1-8

3/2 x= -9

2. 3/2x=2(-9)

3x= -18

3x/3 = -18/3

x= -6

Answer:

You can exempt a A, C, and D because the greatest number out of the group is 4/5 which means 4/5 should be at the end of the list since it's going for least to greatest.

B is the answer

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Answer:

  9x -10y = 75

Step-by-step explanation:

The least common denominator is the least common multiple of the denominators. Here, that is 5×3 = 15. Multiplying both sides of the equation by that gives ...

  15(3/5x -2/3y) = 15(5)

  9x -10y = 75

Answer:

(2x-6)+4(x-3)

2x-6+4x-12

6x-18

6(x-3)