A bag of coins contains only quarters and dimes. The number of dimes in the bag can be represented by x. The number of quarters is 6 more than twice the number of dimes. There are a total of 276 coins in the bag. What is x, the number of dimes in the bag?

Answer:

Quadratic polynomial can be factored using the transformation ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

), where x  

1

​  

 and x  

2

​  

 are the solutions of the quadratic equation ax  

2

+bx+c=0.

−x  

2

−3x+5=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

​  

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=  

2(−1)

−(−3)±  

(−3)  

2

−4(−1)×5

​  

​  

Square −3.

x=  

2(−1)

−(−3)±  

9−4(−1)×5

​  

​  

Multiply −4 times −1.

x=  

2(−1)

−(−3)±  

9+4×5

​  

​  

Multiply 4 times 5.

x=  

2(−1)

−(−3)±  

9+20

​  

​  

Add 9 to 20.

x=  

2(−1)

−(−3)±  

29

​  

​  

The opposite of −3 is 3.

x=  

2(−1)

3±  

29

​  

​  

Multiply 2 times −1.

x=  

−2

3±  

29

​  

​  

Now solve the equation x=  

−2

3±  

29

​  

​  

 when ± is plus. Add 3 to  

29

​  

.

x=  

−2

29

​  

+3

​  

Divide 3+  

29

​  

 by −2.

x=  

2

−  

29

​  

−3

​  

Now solve the equation x=  

−2

3±  

29

​  

​  

 when ± is minus. Subtract  

29

​  

 from 3.

x=  

−2

3−  

29

​  

​  

Divide 3−  

29

​  

 by −2.

x=  

2

29

​  

−3

​  

Factor the original expression using ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

). Substitute  

2

−3−  

29

​  

​  

 for x  

1

​  

 and  

2

−3+  

29

​  

​  

 for x  

2

​  

.

−x  

2

−3x+5=−(x−  

2

−  

29

​  

−3

​  

)(x−  

2

29

​  

−3

​  

)

EVALUATE

5−3x−x  

2Quadratic polynomial can be factored using the transformation ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

), where x  

1

​  

 and x  

2

​  

 are the solutions of the quadratic equation ax  

2

+bx+c=0.

−x  

2

−3x+5=0

All equations of the form ax  

2

+bx+c=0 can be solved using the quadratic formula:  

2a

−b±  

b  

2

−4ac

​  

​  

. The quadratic formula gives two solutions, one when ± is addition and one when it is subtraction.

x=  

2(−1)

−(−3)±  

(−3)  

2

−4(−1)×5

​  

​  

Square −3.

x=  

2(−1)

−(−3)±  

9−4(−1)×5

​  

​  

Multiply −4 times −1.

x=  

2(−1)

−(−3)±  

9+4×5

​  

​  

Multiply 4 times 5.

x=  

2(−1)

−(−3)±  

9+20

​  

​  

Add 9 to 20.

x=  

2(−1)

−(−3)±  

29

​  

​  

The opposite of −3 is 3.

x=  

2(−1)

3±  

29

​  

​  

Multiply 2 times −1.

x=  

−2

3±  

29

​  

​  

Now solve the equation x=  

−2

3±  

29

​  

​  

 when ± is plus. Add 3 to  

29

​  

.

x=  

−2

29

​  

+3

​  

Divide 3+  

29

​  

 by −2.

x=  

2

−  

29

​  

−3

​  

Now solve the equation x=  

−2

3±  

29

​  

​  

 when ± is minus. Subtract  

29

​  

 from 3.

x=  

−2

3−  

29

​  

​  

Divide 3−  

29

​  

 by −2.

x=  

2

29

​  

−3

​  

Factor the original expression using ax  

2

+bx+c=a(x−x  

1

​  

)(x−x  

2

​  

). Substitute  

2

−3−  

29

​  

​  

 for x  

1

​  

 and  

2

−3+  

29

​  

​  

 for x  

2

​  

.

−x  

2

−3x+5=−(x−  

2

−  

29

​  

−3

​  

)(x−  

2

29

​  

−3

​  

)

EVALUATE

5−3x−x  

2

Step-by-step explanation:

Answer:

$32

Step-by-step explanation:

Since the question says that all the apples were sold for a total of $160, this means that you have to add the additional basket of the friend's to Olivia's. Since Olivia has 4 baskets of apples and her friend has 1, 4+1=5. Since you're trying to find the unit price for 1 basket, you take the total of $160 and divide it by 5 to find how much each basket of apples costed. Since 160/5 is 32, $32 is your answer.

Answer: 21.3

Step-by-step explanation:

63.9 divided by 3 equal pieces is 21.3!

Answer:

91.125 or 729/8

Step-by-step explanation:

take 4.5^3 to get 91.125

Answer:

7

Step-by-step explanation:

Answer:

you want to find angle PMB to find PMU

180-21-35= 124

so now, you subtract 180-124 to find PMU

180-124= 56

Now, subtract 56 and 62 from 180 to find angle UPM

180-56-62= 62

m< PMU = 56

m<UPM = 62

Step-by-step explanation:

So we know that a triangle adds up to 180 degrees. Take 62+35 and subtract it from 180 to find angle P.

62+35=97

180-97=83

Knowing this you can find the two angles of P. You can subtract this number from 21 to find the unknown angle of P.

83-21=62(angle UPM)

Then do the same steps for finding the M angles

(Left Triangle)

62+62=124

180-124=56

(Right Triangle)

21+35=56

180-56=124

And because M intersects a straight line, the M angles should add up to 180.

56+124=180

Hope This Helps :)

Answer:

1) rational

2) Irrational

3)rational

4) irrational

5) rational

Step-by-step explanation:

If it has a whole number answer and doesn't have never ending number its rational

Answer:

0.076

Step-by-step explanation:

The answer is 0.076 because 3.8% of 2 is 0.076

Answer:

0.076

Step-by-step explanation:

convert 3.8% to a decimal. (0.038)

2 x  0.038 = 0.076

0.076 ÷ 2 = 0.038

Answer:

1,368

Step-by-step explanation:

Answer:

1369

Step-by-step explanation:

Answer:B

Explanation Samuel earn per hour = 5 hrs

Commission = 65%

Samuel total earning for a day = 6 hrs

Now,

5(65)+6y

Answer:

Lines e & f are parallel to eachother and lines g & h are parallel to eachother

Step-by-step explanation:

Parallel lines never intersect.

Answer:

Sales tax is an increase in the price of the item while a discount is the decrease of the price. A 5% sales tax is an increase since your paying an extra 5% of the item price. 15% discount is a decrease since your now only paying 85% of the original price. Hope that helps

Answer: In layman's terms, that means if the original price of something you sell was $100, but you offer a 50% discount, then the taxable price is $50. Sale Price = original price – (% of discount * original price)

Sales Tax = Sales Tax rate * Sale Price.

Sales Tax = 0.05 * $17.21 = $0.8605 = $0.86. How do I add 5% to a number?

Divide the number you wish to add 5% to by 100.

Multiply this new number by 5.

Add the product of the multiplication to your original number.

Enjoy working at 105%!

Answer: Each person gets 2.25 liters.

Step-by-step explanation:

Given: Total quantity of water = 9 liters

Number of persons = 4

Quantity of water each person get = [tex]\dfrac{\text{Total quantity of water }}{\text{Number of persons }}[/tex]

[tex]=\dfrac{9}{4}\text{ liters}\\\\=2.25\text{ liters}[/tex]

Hence, each person gets 2.25 liters.

Answer:

I am sorry but is the last time I can help you!

I wish you all the best!

Answer:

C=5

Step-by-step explanation:

23+(-3)=20

20=4c

4*5=20

Answer:

c=5

Step-by-step explanation:

Answer:

x=13

Step-by-step explanation:

First, you add the x's together: 2x+x=3x

Now you have:3x-1=38

Add 1 to both sides: 3x=39

1 cancel on the left side of the equation

Divide 3 on both sides: x=39/3

3 cancels on the left side and 39 divided by 3 is 13:

x=13

Hope this helps!

Answer: 3/8

1/4 + 1/8 divided by 2

Answer:

Step-by-step explanation:

From the figure attached,

ΔDEF is the image triangle formed by the sequence of transformations of ΔABC.

Step -1

ΔABC is reflected across line BC to get the inverted form of ΔA'B'C' (As shown in the image attached)

Step -2

Further ΔA'B'C' is translated by 4 units to the right to get the image ΔA"B"C".

Step - 3

Further ΔA"B"C" is translated 1 unit down to get the image ΔDEF.

Answer:

y=-2x-9

Step-by-step explanation:

First, convert -2x+y=3 to an expression in slope-intercept form. This will be written as y=-2x+3.

Parallel lines have the same slope.

So, the slope of the new line will also be -2x.

Now, use the given coordinates and put them and the slope into point-slope form.

Point slope: y-y1=m(x-x1)

y+3=-2(x+3)

Finally, distribute -2 to (x+3) and simplify the equation.

y+3=-2x-6

y=-2x-9

Answer:

C. Both functions are nonlinear but only function p is exponential.

Answer:

the answer to this will be 32+4r if you simplify

Answer:

271 boxes

Step-by-step explanation:

Answer:

3 crates are required for 3258 cookies

Step-by-step explanation:

since the boxes can have 12 cookies each

number of boxes = number of cookies / number of cookies per box

number of boxes = 3,258 cookies / 12 cookies/box = 271.5 boxes = 272 boxes (271 completely filled and one halfway filled)

since each crate can hold 100 boxes

number of crates = number of boxes / number of boxes per crate

number of crates = 272 boxes/ 100 boxes/crate = 2,72 crates = 3 crates (2 completely filled and one 72% filled)

therefore the number of required crates for 3258 cookies is 3

Step-by-step explanation:hope i helped you

Answer:

21

Step-by-step explanation:

[tex]f(x)=3x+6 \\ \\ plug \: x = 5 \\ \\ f(5)=3(5)+6 \\ \\ f(5)=15+6 \\ \\ f(5)=21[/tex]

Step-by-step explanation:

i got about 0.62

I'm so sorry if it isn't right tho

Answer:

I believe the answer would be 11 fruit salads in total.

Step-by-step explanation:

The cook has enough bananas for 12

Enough peaches for 12

Enough pears for 13

And enough apples for 11

Answer:

32 Meters

Step-by-step explanation:

A square has 4 equal sides so all you have to do is divide 128 by 4

........................divide