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Darya [45]
3 years ago
8

John has $2 in nickels and dimes in his drawer. The number of nickels is three times the number of dimes. How many of each are i

n the drawer?
Mathematics
2 answers:
Otrada [13]3 years ago
7 0

Answer:

The number of nickles in drawer is 20  and

The number of dimes in drawer is 10  

Step-by-step explanation:

Given as :

Total money in nickels and dimes = $ 2

Let The number of nickels = n

And The number of dimes = d

According to question

The number of nickels is three times number of dimes

I.e  n = 3 times d

Or ,  n = 3 d

∵  n + d = $ 2

and 20 nickles = 1 dollar

      10 dimes = 1 dollar

So, 20 nickles + 10 dimes = $ 1 + $ 1

or, 20 nickles + 10 dimes = $ 2

So, number of nickles is 20, and number of dimes is 10

Hence The number of nickles in drawer is 20  and

The number of dimes in drawer is 10   answer

asambeis [7]3 years ago
5 0

Answer:

8 dimes and 24 nickles

Step-by-step explanation:

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Nookie1986 [14]

Answer:

33

Step-by-step explanation:

The product of the secant segment lengths is a constant.

... TC×CV = UC×CW

... 14(2x+2) = 12(2x+5) . . . . substitute the values from the diagram

... 28x +28 = 24x +60 . . . . eliminate parentheses

... 4x = 32 . . . . . . . . . . . . . . add -28-24x

... x = 8 . . . . . . . . . . . . . . . . divide by 4

UW = 12 + 2x + 5 = 17+2·8 . . . . UW = UC + CW

UW = 33

3 0
3 years ago
Maddie biked 8 3/4 miles today, and Chase bikes 3 1/2 miles. How many times the length of Chase’s bike ride was Maddie’s bike ri
borishaifa [10]

Answer: 2.5 times

Step-by-step explanation:

Given : The length of Chase’s bike ride= 8\dfrac{3}{4}\ miles

The length of Maddie’s bike ride=3\dfrac{1}{2}\ miles

In improper fraction : Length of Chase’s bike ride=\dfrac{4(8)+3}{4}\ miles

=\dfrac{35}{4}\ miles

Similarly , Length of Maddie’s bike ride= \dfrac{7}{2}\ miles

The number of times the length of Chase’s bike ride was Maddie’s bike ride= \dfrac{\text{ Length of Chase’s bike ride}}{\text{ Length of Maddie’s bike ride}}

=\dfrac{\dfrac{35}{4}}{\dfrac{7}{2}}\\\\=\dfrac{5}{2}=2.5

Hence, the length of Chase’s bike ride was 2.5 times Maddie’s bike ride.

8 0
3 years ago
Find the solution of this system of equations. Separate the x- and the y- values with a comma. X=6+y -8x+9y=-29
WINSTONCH [101]

Answer:

x= 25, y = 19

Step-by-step explanation:

Solve the following system:

{x = y + 6 | (equation 1)

9 y - 8 x = -29 | (equation 2)

Express the system in standard form:

{x - y = 6 | (equation 1)

-(8 x) + 9 y = -29 | (equation 2)

Swap equation 1 with equation 2:

{-(8 x) + 9 y = -29 | (equation 1)

x - y = 6 | (equation 2)

Add 1/8 × (equation 1) to equation 2:

{-(8 x) + 9 y = -29 | (equation 1)

0 x+y/8 = 19/8 | (equation 2)

Multiply equation 2 by 8:

{-(8 x) + 9 y = -29 | (equation 1)

0 x+y = 19 | (equation 2)

Subtract 9 × (equation 2) from equation 1:

{-(8 x)+0 y = -200 | (equation 1)

0 x+y = 19 | (equation 2)

Divide equation 1 by -8:

{x+0 y = 25 | (equation 1)

0 x+y = 19 | (equation 2)

Collect results:

Answer:  {x = 25 , y = 19

6 0
4 years ago
Read 2 more answers
Last year, 45% of business owners gave a holiday gift to their employees. A survey of business owners conducted this year indica
natka813 [3]

Answer:

a)x₁  = 24  business owners plan to provide a gift this year

b)  p-value = 0,0017

c)p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease

Step-by-step explanation:

a) Sample size 80

proportion  p₁  = 30 %   p₁ = 0,3

Then   x₁ = 80*0,3

x₁  = 24  business owners plan to provide a gift this year

b) Hypothesis Test

Null Hypothesis                    H₀          p₁  =  0,45

Alternative Hypothesis        Hₐ          p₁  <  0,45

p₁  =  0,3   then  q₁  =  1  -  0,3    q₁ =  0,7

z(s)  = ( p₁  -  0,45 )/ √p₁* q₁ / n

z(s)  =  -  0,15 / √0,002625

z(s) = - 0,15 / 0,05123

z(s) = - 2,9279

b)From z-table we find  p-value = 0,0017

c) If  α = 0,05   ( significance level )  as

p-value < α   we have to eject H₀   And support the claim that the proportion of business owners providing gifts has decrease

6 0
3 years ago
What would this equal x + 5 = 25
Reika [66]

Answer:

x = 20

Step-by-step explanation:

x + 5 = 25

x = 25 - 5

x = 20

8 0
4 years ago
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