Tamar has four more quarters than dimes. If he has a total of $1.70, how many quarters
and dimes does he have?

Answers

Answer 1
Answers:6 quarters2 dimes

================================================

Work Shown:

d = number of dimes

q = number of quarters

q = d+4 since she has 4 more quarters than dimes

$1.70 = 170 cents

10d = value of all the dimes in cents

25q = value of all the quarters in cents

10d+25q = total value of all the coins in cents

10d+25q = 170

10d+25( q ) = 170

10d+25( d+4 ) = 170 .... plug in q = d+4

10d+25d+100 = 170 .... distribute

35d+100 = 170

35d = 170-100 ..... subtract 100 from both sides

35d = 70

d = 70/35 ... divide both sides by 35

d = 2

He has 2 dimes

q = d+4

q = 2+4

q = 6

He also has 6 quarters

------------------

Check:

1 dime = 10 cents

2 dimes = 20 cents ..... multiply both sides by 2

1 quarter = 25 cents

6 quarters = 150 cents ..... multiply both sides by 6

(2 dimes) + (6 quarters) = (20 cents) + (150 cents) = 170 cents

This confirms the answers.


Related Questions

How do you write six hundred and eight thousand in decimal form

Answers

Answer:

608,000

Step-by-step explanation:

their is not a th at the end of the word form

what trend does the data in the line graph show ?

Answers

Answer:

its going up 2002 up to 2004

One number is 4 more than twice the other number. Their sum is 40. Find the numbers.

Answers

Answer: 12

Step-by-step explanation:

Lets take x as one number and y as another

x + y = 40

2y + 4 = x

Lets replace x with the equation above

2y + 4 + y = 40

3y + 4 = 40

3y = 40 - 4

3y = 36

y = 36/3

y = 12

Answer:

12, 28

Step-by-step explanation:

4 times 3 is 12, and 12 times 2 plus 4 is 28, there's your answer!

Hope this helps :)

an amount shall become 300% of the principal amount when the rate is 10% per annum then what is the time?

Answers

The time Period is 2990 years.

Suppose the principal is P, and the interest rate is R, and the time period is T.

The total amount is A.A = P + I, where I is the interest earned by the principal.

The interest earned is given by the formulaI = (P × R × T)/100Using the values given in the question, we can rewrite it as300P = P + (10/100) × P × T

Thus, we can write300P = P + 0.1PTake out P from both sides of the equation, we get299P = 0.1P × TWe can further simplify it by dividing both sides by 0.1P.2990 = T

Therefore, the time period is 2990 years.

the time period is 2990 years. In practice, interest rates are never that high, and even if they were, it would be impossible for anyone to wait for that long to earn that much interest.

It is more likely that there is an error in the question itself. The question might be asking for something else or it might have a typo.

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338x4 estimate then find the product

Answers

Answer:

1360     340 x 4 = 1360

Step-by-step explanation:

Last week 23 1/2% of all households watched a sporting event on television.
A ) 23/50 B) 235/100 C) 235/200 D) 235/1000

Answers

Answer:

D

Step-by-step explanation:

That as a decimal is 0.235, so its 235/1000

I hope this helped, please mark Brainliest, thank you!

ACTIVITY - Let's Be Reasonable
POSSIBLE POINTS: 20
Julie is balancing her checkbook. Her beginning balance is $325.46, her deposits add up to $285.38, and her withdrawals add up to $683.27.
Approximately how much is her ending balance?
A
B.
About -$70
About - $600
C. About $700
D. About $1,300
x Clear
Undo
Redo

Answers

Answer:

About -$70

she broke

The table shows the greatest distance, in yards, that Bruce hit with six different clubs. State these distances in feet. The ratio of yards to feet is 1: 3.

Answers

Answer:

Yds Ft

99 -> 297

120 -> 369

144 -> 432

162 -> 486

174 -> 522

192 -> 576

Step-by-step explanation:

Your coffee bar has two kinds of drink One cup of the first one costs 9 grams of juice , 4 grams of coffee and 3 grams of sugar The second one costs 4 grams of juice, 5 grams of coffee and 10 grams of sugar. The budget at most 3.6 kilograms of Julce, 2.0 kilograms of coffee and 3.0 kilograms of sugar every day. You get $1.2 if you sell one cup of the first kind of drink and $0.7 of the second one. aWhat is the maximal profit $ b) How many drinks should be sold to get a maximal profit ? Sales of the first one = cups Sales of the second one = cups

Answers

Answer:

How many drinks should be sold to get a maximal profit? 468

Sales of the first one = 345 cups

Sales of the second one = 123 cups

Step-by-step explanation:

maximize 1.2F + 0.7S

where:

F = first type of drink

S = second type of drink

constraints:

sugar ⇒ 3F + 10S ≤  3000

juice ⇒ 9F + 4S ≤  3600

coffee ⇒ 4F + 5S ≤  2000

using solver the maximum profit is $500.10

and the optimal solution is 345F + 123S

The ordered pair (1,0) is a solution to the inequality y

Answers

Answer:

can u please be more specific i don't rlly understand.

The solution to the inequality is not ( 1 , 0 )

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

y = x³ - 4x² + 2

Now , when x = 1 and y = 0

0 = ( 1 )³ - 4 ( 1 )² + 2

0 = 1 - 4 + 2

0 ≠ -1

And , 0 > -1

Hence , the inequality is solved

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The complete question is attached below :

The ordered pair (1,0) is a solution to the inequality y = x³ - 4x² + 2

a) True

b) False

Math question angle measures

Answers

Answer:

angle 1 = 129 degrees

angle 2 = 51 degrees

angle 3 = 129 degrees

Step-by-step explanation:

since angle 2 and 4 are vertical angles, they will have the same value (51). I took angle 2 and 1, and since those angles lie on a straight line, they equal 180 degrees. so I subtracted 180-51, and got 129, giving you the measurement of angle 1 and 3, since 1 and 3 are vertical angles. remember that vertical angles are always equal :)

Step-by-step explanation: To start things off, let's find the m<2.

Notice that <4 and <2 are vertical angles since they share

a common endpoint and their sides form opposite rays.

Vertical angles are always congruent so we know that the m<4 = m<2.

Since the m<4 = 51, the m<2 must also be 51.

Now, notice that <1 and <2 form a straight angle

which always adds to 180 degrees.

So we have the equation 51 + x = 180.

Solving from here, we find that x = 129.

So the m<1 = 129.

Since <1 and <3 are again vertical, we know that m<3 = 129.

Can y’all please help me ..ASAP

Answers

Answer:

a = 7

Step-by-step explanation:

We know that the angle is 90°, so we can subtract the other known angle measure from 90.

90 - 52 = 38

Now we know what the other angle's measure is

5a + 3 = 38

Subtract

5a + 3 = 38

      -3     -3

Divide

   [tex]\frac{5a}{5}[/tex]= [tex]\frac{35}{5}[/tex]

a = 7

Solve for x.
77°
(7x + 1)
(10x – 9)

Answers

I believe it would be x=3.3

6. Factor 5x² +10x-15
(5x+3Xx−5)|
(x+5)5x+3)|
(5x–5)(x− 3)|
(x+3)(5x−5)|

Answers

The factored expression of 5x² + 10x - 15 is 5(x + 3)(x - 1) or (x + 3)(5x - 5)

How to determine the factored expression

from the question, we have the following parameters that can be used in our computation:

5x² + 10x - 15

Factor our 5

5(x² + 2x - 3)

When expanded, we have

5(x² + 3x - x - 3)

So, we have

5(x(x + 3) - 1(x + 3))

Factor out x - 1

5(x + 3)(x - 1)

Hence, the factors are 5(x + 3)(x - 1)

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Solve for h.
h + 1 = 10
h.
Submit

Answers

Answer:

h = 9

Step-by-step explanation:

h + 1 = 10

Subtract 1 from each side

h + 1-1 = 10-1

h = 9

So you want the h on it’s own.
Use addition, subtraction etc to manipulate it.
h+1=10
-1 -1
h=9

What are the slope and the y-intercept of the linear function that is represented by the graph?

On a coordinate plane, a line goes through points (0, 3) and (4, 0).
The slope is Negative four-thirds, and the y-intercept is 3.
The slope is Negative four-thirds, and the y-intercept is 4.
The slope is Negative three-fourths, and the y-intercept is 3.
The slope is Negative three-fourths, and the y-intercept is 4.

Answers

Answer:

The answer is c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

which one is larger 4/5 or 8/10​

Answers

Answer:

neither

Step-by-step explanation:

they are equal 4/5 a simplfied version on 8/10

8/10 is larger , due to if you cross multiply the fractions ( which is the numerator times the numerator of the denominator). 8/10 will equal out to 45 while 4/5 equals out to 40.

Tumelo has R14600 today to deposit in his account .he has a goal of withdrawing this money at 28000 in 6 years .calculate the interest rate that he should invest his initial amount at,compounded quarterly

Answers

The interest rate that he should invest his initial amount compounded quarterly is 0.11001626264163722.

To calculate the interest rate that Tumelo should invest his initial amount at, compounded quarterly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A is the future value (goal amount) of R28000,

P is the initial amount of R14600,

r is the interest rate (to be determined),

n is the number of times the interest is compounded per year (quarterly compounding),

t is the number of years (6 years).

Plugging in the given values, the equation becomes:

28000 =[tex]14600(1 + r/4)^(^4^*^6^)[/tex]

To solve for r, we need to isolate it on one side of the equation. We can do this by dividing both sides by 14600 and then taking the 6th root of both sides:

[tex](28000 / 14600)^(^1^/^(^4^*^6^)^) = 1 + r/4[/tex]

Taking the 6th root of (28000 / 14600) and subtracting 1, we find:

r/4 = (28000 / 14600)^(1/(4*6)) - 1

Multiplying both sides by 4, we obtain:

r = 4 * [(28000 / 14600)^(1/(4*6)) - 1]

Therefore, r = 0.11001626264163722

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A savings account pays 2% interest compounded annually. If $1,200 is deposited initially and again at the first of each year, how much money will be in the account three years after the initial deposit?
$1,248.48
$2,472.48
$3,672.48
$3,745.93

Answers

Answer:

$3,745.93

Step-by-step explanation:

i got it right on edge

M is the midpoint of LN. L has coordinates (1 ,12) and N has coordinates (5, -4). Find the coordinate of M.

Answers

Answer:

(3,4)

Step-by-step explanation:

Using midpoint formula

We get,

(1+5/2,12-4/2)(6/2,8/2)(3,4)

What are reasons A, B, and C in the proof? Prove: (4 · 3)l + (2 · 4)l = 20l Statements Reasons (4 · 3)l + (2 · 4)l = (4 · 3)l + (4 · 2)l A. _________________ = 4(3l + 2l) B. _________________ = 4(5l) Addition = (4 · 5)l C. _________________ = 20l Multiplication A. Commutative Property of Addition B. Distributive Property C. Associative Property of Multiplication A. Commutative Property of Multiplication B. Distributive Property C. Associative Property of Multiplication A. Commutative Property of Multiplication B. Associative Property of Multiplication C. Distributive Property A. Distributive Property B. Commutative Property of Multiplication C. Associative Property of Multiplication

Answers

Answer:

A. Commutative Property of Multiplication

B. Distributive Property

C. Associative Property of Multiplication

Step-by-step explanation:

The reasons A, B and C are:

A. Commutative Property of Multiplication B. Distributive Property C. Associative Property of Multiplication

The equation is given as:

[tex]\mathbf{(4 \cdot 3)l + (2 \cdot 4)l =20l}[/tex]

First, we apply the commutative property of multiplication.

So, we have:

[tex]\mathbf{(4 \cdot 3)l + (2 \cdot 4)l =(4 \cdot 3)l + (4 \cdot 2)l }[/tex]

Next, apply the distributive property

[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot (3 + 2)l }[/tex]

Addition

[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot (5)l }[/tex]

By the associative property of multiplication, we have:

[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l =4 \cdot 5 \cdot l}[/tex]

[tex]\mathbf{(4 \cdot 3) + (2 \cdot 4)l = 20l}[/tex]

Hence, the reasons A, B and C are:

A. Commutative Property of Multiplication B. Distributive Property C. Associative Property of Multiplication

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HELP PLEASE IM A WEEK BEHIND!!!
Week 1 = ? savings
Week 2 = ? savings
Week 3 = ? Savings
Week 4 = ? Savings
Week 5 = ? Savings
Week 6 = ? Savings
Week 7 = ? Savings
Week 8 = ? Savings

Answers

Answer:

Step-by-step explanation:

Week 1 = 78

Week 2 = 100

Week 3 = 122

Week 4 = 154

Week 5 = 173

Week 6 = 194

Week 7 = 213

Week 8 = 131

please help with this one, geometry

Answers

9514 1404 393

Answer:

  a) 40°

  b) 70°

  c) 35°

  d) 105°

Step-by-step explanation:

a) x is half the given angle, so is ∠BAC/2 = 80°/2.

  x = 40°

__

b) ∠ABC has a value that makes the angles in the triangle have a sum of 180°.

  ∠ABC +∠BAC +30° = 180°

  ∠ABC = 180° -30° -80°

  ∠ABC = 70°

__

c) y is half the measure of ∠ABC, so is 70°/2.

  y = 35°

__

d) z has a value that makes the angles in its triangle have a sum of 180°.

  x + y + z = 180

  z = 180 -x -y = 180 -40 -35

  z = 105°

For a pancake recipe, Ensley needs a teaspoon of cinnamon in order to
make 6 servings. If she wants to make 30 servings, how many teaspoons
cinnamon will she need? (Write your answer as a decimal... DO NOT
ROUND!)

Answers

Answer:

The answer is 5

Step-by-step explanation:

6 x _ = 30

How to find the blank? Divide. 6 / 30 = 5. B)

Suppose it costs $2,500 to buy a defibrillator. Find the expected value of owning a defibrillator if there is a 4% probability that Johnson Club will lose a lawsuit regarding its operation, with each lawsuit resulting in Johnson Club being liable in the amount of $1,000,000.

Answers

Answer:

$37,500

Step-by-step explanation:

Expected value is the sum of the outcomes times their probability.

E(X) = (-2500) (1) + (1,000,000) (0.04)

E(X) = 37,500

Another way of calculating it:

E(X) = (-2500+0) (0.96) + (-2500+1,000,000) (0.04)

E(X) = 37,500

Solve for x:

11x = 6x + 20

Answers

Answer:

x = 4

Step-by-step explanation:

11x= 6x +20

-6x   -6x

(subtract 6x from both sides)

5x = 20

/5x   /5x

divide 5x from both sides

x=4

Answer is x = 4

11x = 6x +20
-6x -6x

5x = 20
/5 /5

X= 4

What is the rational function? Explain.
Vertical asymptote of x=3
Horizontal Asymptote of y=1.
x intercept is at (2,0)
y intercept at (0, 2/3)

Answers

Answer:

y = -2(x+2)(x-1)/((x+3)(x-6)) = (-2x^2 -2x +4)/(x^2 -3x -18)

Step-by-step explanation:

A polynomial function will have a zero at x=a if it has a factor of (x-a). For the rational function to have zeros at x=-2 and x=1, the numerator factors must include (x+2) and (x-1).

For the function to have vertical asymptotes at x=-3 and x=6, the denominator of the rational function must have zeros there. That is, the denominator must have factors (x+3) and (x-6). Then the function with the required zeros and vertical asymptotes must look like ...

f(x) = (x+2)(x-1)/((x+3)(x-6))

This function will have a horizontal asymptote at x=1 because the numerator and denominator degrees are the same. In order for the horizontal asymptote to be -2, we must multiply this function by -2.

The rational function may be ...

y = -2(x +2)(x -1)/((x +3)(x -6))

If you want the factors multiplied out, this becomes

y = (-2x^2 -2x +4)/(x^2 -3x -18)

PLEASE HELP prove triangle ADB is congruent to triangle CDB (attached)

Answers

Answer:

as all the sides are parallel to each other.

Step-by-step explanation:

the small lines on each side of the kite shows that all sides are equal / parallel to each other.

For the given figure, triangle ADB is congruent to triangle CBD, by SSS postulate.

What is congruent geometry?

In congruent geometry, the shapes are so identical that can be superimposed on themselves.

Consider triangle ADB and CDB,
AB = CB  [given]
AD = CD  {given}
BD = BD  [common side]

So, triangle ADB ≅ triangle  CDB, by SSS postulate.

Thus, triangle ADB ≅ triangle  CDB

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[tex]64d+81c^2d.[/tex]factor:

Answers

Answer:

d(64+81cc²)

Step-by-step explanation:

find the two numbers.
X + 3x - 7 = 61

Answers

Answer:

x= 17

Step-by-step explanation:

combine like terms

4x-7=61

4x=68

x=17

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