a handful of coins has the value of 1 dollar and 79 cents there are 3 times as many dimes as quarters and 5 more pennies than dimes if there are only 3 types of coins how many of each type of coin are there

Answer: There are 3 quarters , 9 dimes and 14 pennies.

Step-by-step explanation:

Let x= Number of quarters

Then, Number of dimes = 3x

Number of pennies = 3x+5

1 quarter = $ 0.25

1 dime = $0.10

1 penny = $ 0.01

So, Total amount = 0.25x+ 0.10(3x) + 0.01(3x+5)

= 0.25x+0.30x+ 0.03x+0.05

= 0.58x+0.05

Since Total amount = 1 dollar and 79 cents = $ 1.79  [1 cent = $ 0.01]

So,

[tex]0.58x+0.05=1.79\\\\\Rightarrow\ 0.58x= 1.74\\\\\Rightarrow x=\dfrac{1.74}{0.58}\\\\\Rightarrow x=3[/tex]

Thus, there are 3 quarters , 9 dimes , 14 pennies.

Answer:

Step-by-step explanation:

there are 3 quarters , 9 dimes , 14 pennies.

Answer:

10

Step-by-step explanation:

[tex] \sqrt{100} = 10[/tex]

Hope it helps you in your learning process.

Answer:

y= -x-2

Step-by-step explanation:

Answer:

One: P = 1/2 = 0.5

Two: P = 8/14 = 4/7 = 0.714

Step-by-step explanation:

One

I take it that the question is a prime number or 4.

P(four) = 1/14

The primes are 2,3,5,7,11,13. There are 6 of them

P(prime) = 6/14

P(prime or four) = 6/14 + 1/14 = 7/14 = 1/2

Two

Multiple of 2 := 2 4 6 8 10 12 14

Multiple of 3 :=  9 in addition to 6 and 12 which cannot be counted twice.

P(2 or 3) = 8/14 = 4/7 = 0.714

Answer: I think its $18.00

Step-by-step explanation:

0.9*25-4.5= 18

I really don't know just say its o

Ans

$12.5/1 day

Step-by-step explanation:

Just cause

Answer:

25% loss

Step-by-step explanation:

21 is 75% of 28, because 7*3 = 21 and 7*4 = 28

100%-75%=25%

Hope this helps!

Answer:

the answer is 50 %

Step-by-step explanation:

C.P x (100+ (P/L) ) over 100 = S.P

C.P x 50 over 100 = 8500

C.P = 8500 x 100 over 50 = 17000 .Rs.

hope it helps make me the brainliest now !!!!!!!

Answer:

Step-by-step explanation:

Here you go mate

PEDMAS

STEP 1

3<-2x-137  equation

STEP 2

3<-2x-137  simplify by reversing equation

-2x-137>3

STEP 3

-2x-137>3   simplify

-2x>140

step 4

-2x>140   look for a number that can divide the two numbers like 2

-2x /-2 > 140 /-2

1>-70

answer

x>-70

Answer:

go for it!!!!

Step-by-step explanation:

Answer:

If you feel like you should. Just make sure they are single.

Answer:

6 1/2

Step-by-step explanation:

Answer:

6.5 quarts.

Step-by-step explanation:

This is rather simple math because 2 pints equal 1 quart. You divide 13 by 2, which is an uneven number so you are guaranteed a half, and you get 6.5

Answer:

Son's age = 24 years

Man's age = 48 years

Step-by-step explanation:

Let's take the age of son as x

Man's age = 2x

Twelve years ago,

Son's age= x-12

Man's age= 2x-12

Man is three times as old as his son so,

[tex] \frac{2x - 12}{x - 12 } = \frac{3}{1} [/tex]

Solving for x,

2x-12(1) = x-12(3)

2x-12 = 3x-36

2x-3x = -36+12

-x = - 24

x = 24

So if we substitute the values we get,

Son's age = 24 years

Man's age = 48 years

Hope you understand :)

Step-by-step explanation:

[tex] \underline{ \underline{ \text{Solution}}} : [/tex]

Let the present age of father be ' x ' years and that of the son be ' y ' years. From the first condition ,

From the second condition ,

Substituting the value of x from equation ( i ) in equation ( ii ) :

[tex] \sf{2y - 12 = 3(y - 12)}[/tex]

Solve for y ( age of the son ) :

⟿ [tex] \sf{2y - 12 = 3y - 36}[/tex]

⟿ [tex] \sf{2y - 3y = - 36 + 12}[/tex]

⟿ [tex] \sf{ - y = - 24}[/tex]

⟿ [tex] \sf{y = 24}[/tex]

Now , Substituting the value of y in equation ( i ) , we get :

[tex] \sf{x = 2 \times 24}[/tex]

⟿ [tex] \sf{x = 48}[/tex]

So, the present age of the father is 48 years and that of the son is 24 years.

Hope I helped ! ツ

Have a wonderful day / night ♡

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Answer:

pi/6

got it right on plato

Answer:

Thank you so much!!!

Step-by-step explanation:

Answer:

thanks!!

Step-by-step explanation:

Answer:

(2h + 3k) (m -  n)

Step-by-step explanation:

factor by pairing:  pair and factor the first two terms, then pair and factor the remaining two; there should be one factor which duplicates

m is common factor of 1st pair: m(2h+3k)

n is common factor of 2nd pair: n(2h+3k)

answer is one of the duplicate factors (2h+3k) times terms not contained in parentheses (m+n)

Answer:

[tex](2h+3k)(m-n)[/tex]

Step-by-step explanation:

[tex]2mh+3mk-2nh-3nk[/tex]

Just look at the common terms

[tex]2mh-2nh-3nk+3mk = 2h(m-n)-3k(n-m) = 2h(m-n)+3k(m-n)[/tex]

By grouping we have

[tex]2h(m-n)+3k(m-n) =\boxed{(2h+3k)(m-n)}[/tex]

Answer:

b=100

a=80

c=100

Step-by-step explanation:

to find b we know that in a straight angle there is 180 degrees and since we already know that one side is 80 degrees we just need to substract 180 by 80 to get 100 degrees.

since its parallel lines we can confirm that 80degrees and r are coresponding angles so r=80.Which also means a and r are alternate angles so a=80.

Lastly to find c we need to do the same thing as we did with b. Which means c=100    

Answer:

4 1/3 cups

Step-by-step explanation:

All you have to do for this one is subtract 5 2/3 from 10, which is 4 1/3. Your equation could be 10-5 2/3=x.

Answer:

52feet

Step-by-step explanation:

The set up will be a right angle

Let the angle of depression be 30°

The height above the sea level will be the opposite

The distance of the ship from the base is x (adjacent)

Using TOA

Tan theta = opposite/adjacent

Tan 30 = 30/x

x = 30/tan 30

x = 30/0.5774

x = 51.96

x ≈ 52 feet to the nearest foot

Answer:

48 percent

Step-by-step explanation:

12 divided by 25 gets you .48 which can be expressed as 48%

Answer:

48%

Step-by-step explanation:

1. Change 12/25 to a fraction with a denominator of 100

25 x 4=100

12 x 4=48

2. Find the percent

48/100= 48%

Answer:

24 Square Feet.

Step-by-step explanation:

Answer:

x=44

Step-by-step explanation:

alright to make this easy we have to find out all of the angles values. If you see those little lines, then they are indicating that the opposite angles are similar. so angles b and d are equal to 34. in order for a triangle to be true all of the angles added up have to equal 180 so to find the last angle we do 180 -34 -34 which equals 112. That is the angle of c on the bottom triangle. The angle next to is is suplementary meaning that those two angles added together will equal 180. If one angle is 112 we just subtract 112 from 180 to get the other angle which is 68. Once again we have the two little lines indicating that the two angles are the same. Again we do 180 - 68 - 68 which is 44. Therefore x =44

Answer:

Step-by-step explanation:

3rd one

Answer:

yes

Step-by-step explanation:

Answer:

Step-1 : Multiply the coefficient of the first term by the constant

Step-by-step explanation:

Answer:

step 1 = Subtract 3 from both sides

step 2=  Use quadratic formula with a=1, b=14, c=-46

Answer to the equation = x=−7+√95 or x=−7−√95

Answer:

the first one is 45% I don't no the second one

Answer:

15 is the product of the digits of the number

Step-by-step explanation:

Let the two digit number be xy

Unit digit is 2 more than ten’s digit

y - x = 2 ••••••(i)

Secondly;

x + y = (10x + y) - 27 •••••(ii)

From i, y = x + 2

Put this into ii

x + x + 2 = 10x + x + 2 - 27

2x + 2 = 11x - 25

11x - 2x = 25 + 2

9x = 27

x = 27/9

x = 3

From above;

y = x + 2

y = 3 + 2 = 5

The product of the numbers xy will be 5 * 3 = 15

Answer:

No

Step-by-step explanation:

This is because 7.5% of $170 is $12.75. If you add this to the original price of $170, then it will equal $182.75.

Answer:

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]

Step-by-step explanation:

We need to Write the equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x

The general equation in slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding Slope:

Both the equations given are parallel. So, they will be having same slope.

Slope of given equation y= - 2/3x is m = -2/3

This equation is in slope-intercept form, comparing with general equation  [tex]y=mx+b[/tex] where m is slope , we get the value of m= -2/3

So, slope of required line is: m = -2/3

Finding y-intercept:

Using slope m = -2/3 and point (-3,5) we can find y-intercept

[tex]y=mx+b\\5=-\frac{2}{3}(-3)+b\\5=2+b\\ b=5-2\\b=3[/tex]

So, we get b = 3

Now, the equation of required line having slope m = -2/3 and y-intercept b =3

[tex]y=mx+b\\y=-\frac{2}{3}x+3[/tex]

The equation of the line in slope intercept form that passes through the point (-3, 5) and is parallel to y= - 2/3x is [tex]\mathbf{y=-\frac{2}{3}x+3 }[/tex]

Answer:

[tex]\displaystyle y = -\frac{2}{3}x + 3[/tex]

Step-by-step explanation:

5 = –⅔[–3] + b

2

[tex]\displaystyle 3 = b \\ \\ y = -\frac{2}{3}x + 3[/tex]

Parallel equations have SIMILAR RATE OF CHANGES [SLOPES], so –⅔ remains as is.

I am joyous to assist you at any time.