Katie has a collection of nickels, dimes and quarters with a total value of $3.95. There are 4 more dimes than nickels and 3 more quarters than nickels, how many of each coin does she have?

Answer:

x=5

Step-by-step explanation:

4x−8=12

Step 1: Add 8 to both sides.

4x−8+8=12+8

4x=20

Step 2: Divide both sides by 4.

4x

4

=

20

4

x=5

Answer:

One solution, x=5.

Step-by-step explanation:

4x-8=12

To find the solution we have to find the value of x.

to find the value of x, we have to add 8 to BOTH sides.

4x-8=12   (Why add 8? because we have to do the opposite of the sign!)

   +8  +8

4x=20

Now to find X we have to ISOLATE IT.

So we take out 4, How? We do the opposite to both sides.

4/4 Cancels out

20/4 = 5

So now we know X=5

Insert in the main problem to check.

4(5)-8=12

20-8=12

12=12

Answer:

40 blueberry jelly beans

Step-by-step explanation:

Let us represent blue berry beans = b

Cherry jelly beans = c

Camilla has twice as many blueberry jelly beans as cherry jelly beans.

Hence,

b = 2c .........Equation 1

After eating 10 pieces of each kind, she now has three times as many blueberry jelly beans as cherry jelly beans.

hence,

b - 10 = 3(c - 10)

b - 10 = 3c - 30

Collect like terms.

- 10 + 30 = 3c - b

20 = 3c - b .........Equation 2

Subtitute 2c for b in Equation 2

20 = 3c - 2c

20 = c

Hence, she had 20 cherry jelly beans.

In the question, we are asked to find how many blueberry jelly beans she had.

Hence,

b = 2c .........Equation 1

Substituting 20 for c in Equation 1

b = 2 × 20

b = 40

Therefore, she originally had 40 blueberry jelly beans

Step-by-step explanation:

Point T is between Points S and U, where all 3 points are collinear.

Therefore ST + TU must be equal to SU.

(2x + 6) + 4 = 4x

2x + 10 = 4x

2x = 10

x = 5.

Hence, length of ST = 2(5) + 6 = 16.

The length of ST will be 16 units.

A line segment is basically a line with two end points.

two or more than two co-linear points is needed to form a line segment.

In the given question

Line segment is SU

Point T is in between point S and point U here all the points are co-linear

SU = ST + TU

4x = (2x + 6) + 4

4x = 2x + 10

2x = 10

x = 5

∴ The length of  ST = 2x + 6 = (2×5) + 6 = 16 units

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Answer:

[tex]3^4[/tex]

Step-by-step explanation:

There are four  3's

[tex]3\times 3\times3\times3 = 81\\\\3^4 = 81[/tex]

Answer: 3⁴

Explanation: Exponential form contains a base and an exponent.

The base is the number that is multiplied.

So in this case, 3 is the base.

Next we write the exponent which is the

number of times that the base is multiplied.

Since 3 is multiplied four times, the exponent is 4.

So in exponential form, 3 · 3 · 3 · 3 can be written as 3⁴.

Answer:

x₁ = -4

x₂ = 0.5

Step-by-step explanation:

x² + 3.5x - 2 = 0                 * 2

2x² + 7x - 4 = 0 ​

(2x + 8)(2x -1)/2 = 0

2(x + 4)(2x - 1)/2 = 0

(x + 4)(2x - 1) = 0

x + 4 = 0

x₁ = -4

2x - 1 = 0

2x = 1

x₂ = 1/2

x₂ = 0.5

Answer:

b=ra-2x

Step-by-step explanation:

You solve for b by simplifying both sides of the equation then isolating the variable.

Answer:

  27 13/24 inches

Step-by-step explanation:

Assuming the reported monthly growth is for the first month, the height will be ...

  22 7/8 + 4 2/3 = (22 +4) +(21/24 +16/24) = 26 +37/24 = 27 13/24

The height of the plant after the first month is 27 13/24 inches.

_____

Your graphing calculator can add these mixed numbers for you.

Answer:

3 is an integer

Step-by-step explanation:

intergers are numbers that are not a fraction.ie a whole number.

Answer:

b < 5

Step-by-step explanation:

-2b + 4 > -6                ⇒ subtract 4 from both sides

-2b > - 6 - 4

-2b > -10                     ⇒ divide both sides by -2, it will change inequality sign to opposite

b < 5                           ⇒ answer

Answer:

(0,2) (3,1)

Step-by-step explanation:

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The correct option is A and D.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,

y =mx + c

where,

x is the coordinate of the x-axis,

y is the coordinate of the y-axis,

m is the slope of the line, and

c is the y-intercept.

If we want to know whether a point is a solution to the equation or not, substitute it in the line and check whether both sides of the equation are equal or not.

A) 0,2

x + 3y = 6

0 + 3(2) = 6

6 = 3

B) 0,6

x + 3y = 6

0 + 3(6) ≠ 6

18 ≠ 6

C) 2,6

x + 3y = 6

2 + 3(6) ≠ 6

2 + 18 ≠ 6

D) 3,1

x + 3y = 6

3 + 3(1) = 6

3 + 3 = 6

6 = 6

E) 4,1

x + 3y = 6

4 + 3(1) ≠ 6

4 + 3 ≠ 6

F) 6, 2

x + 3y = 6

6 + 3(2) ≠ 6

6 + 6 ≠ 6

Hence, the correct option is A and D.

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Answer:

a. x = ½, and x = -1

Step-by-step explanation:

Given the equation, 7|12x + 3| - 1 = 62, solve as follows:

Add 1 to each side of the equation

7|12x + 3| = 62 + 1

7|12x + 3| = 63

Remove the absolute value to create ± on the right side of the equation

7(12x + 3) = ±63

Solve the positive portion of the solution

7(12x + 3) = 63

84x + 21 = 63

Subtract 21 from both sides

84x = 63 - 21

84x = 42

Divide both sides by 84

x = 42/84

x = ½

Solve the negative portion of the solution

7(12x + 3) = -63

84x + 21 = -63

Subtract 21 from each side of the equation

84x = -63 - 21

84x = -84

Divide both sides by 84

x = -84/84

x = -1

The answer is: x = ½, and x = -1

Answer:

sorry i cant see i need a better pictureStep-by-step explanation:

Answer:

8 years old maybe.

C.171

Step-by-step explanation:

4×7(2)-25

4×49-25

multiply 4×49=196-25

then subtract 196-25=171

Answer:

C. 171

Step-by-step explanation:

[tex]4\cdot (2+5)^2-5^2\\\\Follow\:the\:PEMDAS\:order\:of\:operations\\\\\mathrm{Calculate\:within\:parentheses}\:\left(2+5\right)\::\quad 7\\=4\cdot \:7^2-5^2\\\\\mathrm{Calculate\:exponents}\:7^2\::\quad 49\\=4\cdot \:49-5^2\\\\\mathrm{Calculate\:exponents}\:5^2\::\quad 25\\=4\cdot \:49-25\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:4\cdot \:49\::\quad 196\\=196-25\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:196-25\:\\:\quad 171\\[/tex]

Answer:

Step-by-step explanation:

cdfbdfbf

Answer:

"then a student earns a b"

Step-by-step explanation:

Answer:

-25.17 miles per gallon.

-It costs $49.02 to fill your tank.

Step-by-step explanation:

-To find the miles per gallon, you can use a rule of three:

17.2 gallons →  433 miles

    1 gallon   →        x

x=(1*433)/17.2= 25.17

If your gas tank holds 17.2 gallons, you car can drive 25.17 miles per gallon.

-To find the cost to fill your tank, you have to multiply the price per gallon for the amount of gallons that the tank can hold:

$2.85*17.2=$49.02

It costs $49.02 to fill your tank.

Answer:

-14

Step-by-step explanation:

Here is the complete question

A nominal interest rate of 5%

A real interest rate of 5%

A real interest rate of 3%

A nominal interest rate of 3%

Answer:

A real interest rate of 5%

Step-by-step explanation:

A real interest rate of 5% is the best option for oscar. The nominal rate of interest is a type of interest rate that shows the increase in in percentage of money without the depreciation discount that is usually caused by inflation or the payment of tax.

The real rate of interest shows the real increase in the money that has been paid for an investment. This is after inflation has been discounted and all forms of taxes have been paid.

So oscar should invest his $4000 on a savings account whose real interest rate is 5% per year

Answer:

4 times p

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

We would need to undo the equation and preform inverse operations to get 'x' on one side. First, we need to get rid of 28 by adding 28 to each side. This would leave us with 7x on one side. Then, we wound divide each side by 7. This would leave us with 'x = 8'. If we plugged in the value, then it would satisfy the equation.

[tex]7x-28=28\\\\7x-28+28=28+28\\\\7x=56\\\\\frac{7x=56}{7}\\\\ \boxed{x=8}[/tex]

Checking the answer:

[tex]7(8)-28=28\\\\56-28=28\\\\\boxed{28=28}[/tex]

Hope this helps.

Answer:

2 5/12

Step-by-step explanation:

you can combine two fractions if they have the same denominator (bottom number) by adding the numerators (top numbers) and keeping the bottom number the same.

1/12+4/12 is the same as 1+4 you just put the sum over 12:

2 1/12+4/12= 2 5/12

it can also be written as 29/12

Answer:

47 and 49

Step-by-step explanation:

This would not be between two consecutive whole numbers. Any number from 47.5 and less than 48 would round up, and any number from 48 to less than 48.5 would round down. It might be consecutive odd numbers that you meant, or your question is not clear enough.

Answer:

They installed 2 7 .6 6 trailers altogether

Step-by-step explanation:

Given that:

A landscaper installs 12 sections of trail

he's & his partner installs 12.5 sections of Trellis

the neighbor installs $3.16 sections of Trellis.

The number of trailers they install together can be calculated by finding the summation of all the value given.

i.e

The number of trailers they install together;

        1 2 . 0 0

=    + 1 2 . 5 0

           3 . 1 6    

        2 7 .6 6

Answer:

The answer you're looking for is 3

Step-by-step explanation:

Answer:

[tex]3[/tex]

Step-by-step explanation:

Start with:

[tex]\frac{21}{[2*(19-14)-3]}[/tex]

First, subtract the values in your parentheses.

At this point, we can remove the brackets.

[tex]\frac{21}{2(5)-3}[/tex]

Multiply.

[tex]\frac{21}{10-3}[/tex]

Subtract.

[tex]\frac{21}{7}[/tex]

Simplify.

[tex]3[/tex]

Answer:

[tex]2.5 \times 10^{-5}[/tex]

Answer:

work is shown and pictured

Answer:

-9

Step-by-step explanation:

negative divided by positive = negative.

Answer:

Points N and K are on a plane A and plane S ( True )

Points P and M are on a plane B and plane S

Point P is the intersection of line n and line g ( True )

Points M, P, and Q are noncollinear ( True )

Line d intersects plane A at point N.

Step-by-step explanation:

Just took the test and got it right :)

The true are 1, 3, 4 and false are 2, 5.

To choose the statement are true or false.

A surface in which if any two points are chosen a straight line joining them lies completely in that surface. A plane is a flat, two-dimensional surface that prolongs infinitely far.

Given that:

1. Points N and K are on plane A and plane S.

From  that points N and K are on the plane A and on the plane S. Thus, this option is true.

2. Points P and M are on plane B and plane S.

From points P and M are on the plane B, but point M doesn't lie on the plane S. So, this option is false.

3. Point P is the intersection of line n and line g.

Point P lies on the line n as well as on the line g, therefore it is the point of intersection of these two lines. This option is true.

4. Points M, P, and Q are noncollinear.

It is true, because points M, P and Q do not lie on the same line at one time, that means they are noncollinear.

5. Line d intersects plane A at point N.

From the line d intersects plane S at point L, not at point N, then this option is false.

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Diagram is missing.

Answer:

cool!

Step-by-step explanation:

Answer:At the end of the day, he is [162 + 207 - 285]  = 84  ft above his starting height

Step-by-step explanation: