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Colt1911 [192]
3 years ago
12

Can sum1 do this for me

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Hey the picture is blurry can u take another one plz
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Complete the equation that represents the total value of the nickels and p pennies
vovikov84 [41]

Answer:

<em>Answers below</em>

Step-by-step explanation:

<u>Equation</u>

Let's call:

p = number of pennies Janesa has in her pocket

n = number of nickels Janesa has in her pocket

She has 24 coins in total, thus:

p + n=24\qquad\qquad [1]

Since each penny is worth $0.01 and each nickel is worth $0.05, and Janesa has $1 in total:

0.01p+0.05n=1

Multiplying by 100:

p+5n=100\qquad\qquad [2]

A. Completing the equation:

5n+p=100

B.

From [1]:

p=24-n

Substituting into [2]:

24-n+5n=100

Simplifying:

24+4n=100

Rearranging:

4n=100-24=76

n=76 / 4= 19

p=24-19=5

B. There are 5 pennies in Janesa's pocket

C. Since each penny is worth $0.01, the total value of pennies is 5*$0.01=$0.05

The total value of the pennies is $0.05

D. The total value of the nickels is 19*$0.05 = $0.95

E. Jackson should say she has 19 nickels and 5 pennies

5 0
3 years ago
Read 2 more answers
Find a and b if<br>2^a×3^b=12​
krok68 [10]

Answer:

12=12

Step-by-step explanation:

2a = b

a -3b =12

To solve, set one of the equations equal to zero.  The first equation is actually already set to 0.

b = 2a

Now you can plug this equation into the other one, by substituting the b in the equation with this.

a -3b = 12

a – 3(2a) = 12

Now all you have to do is distribute the 3 (multiply the number outside the parenthesis, 3 in this case, by everything inside).

a – 6a = 12

Combine like terms.  Since we have 1 positive a and 6 negative ones, we subtract the two numbers without the signs

6-1 = 5

And take the sign of the larger number.  Since 6 is large and 6 is negative, we are left with

-5a = 12

Now solve for a, which in this case means dividing both sides by -5

a = -12/5

Simplify

a = -2.4

Now that you have a, it’s easy to find b

b = 2a

b = 2(-2.4)

b= -4.8

Now you check your work by plugging your new a and b into either equation to see if it’s true.

-4.8 = 2(-2.4)

-4.8 = -4.8

And just for laughs let’s try the other equation

 

a -3b =12

-2.4 – 3(-4.8) = 12

Distribute the 3 again.  Remember that when two negative numbers are multiplied they become positive.

-2.4 +14.4 = 12

12 = 12

6 0
3 years ago
A hot air balloon holds 3,249 cubic meters of helium. The density of helium is 0.1785 kilograms per cubic meter. How many kilogr
professor190 [17]
We find the answer by using the density formula: d  =m/v
We know the density: 0.1785
We know the volume: 3,249
We DO NOT know the mass, so that is what we're trying to finding
0.1785 = m/3,249
Solve:
3,249 * 0.1785 = m/3,249 * 3,249
579.9465 which can be rounded to 579.9
The answer is D. 
5 0
3 years ago
Read 2 more answers
A fireman has 12 ft. ladder and a 16 ft ladder. He leans the 12 ft ladder against a house at an angle of 57 degrees. He leans th
Sedbober [7]

Answer:

12 feet ladder

Step-by-step explanation:

Height of 12 ft ladder :

Using Pythagoras :

Tan θ = Adjacent / hypotenus

Tan 57 = h / 12

1.5398649 * 12 = 18.48 feets

For 16 feet ladder :

Tan θ = Adjacent / hypotenus

Tan 30 = h / 16

0.5773502 * 16 = 9.24 feets

18.48 > 9.24

Hence, he'll climb the 12 feets ladder to the higher height

4 0
3 years ago
Find the missing dimension of the cone. Round your answer to the nearest tenth.
exis [7]

Answer:

H=5.0 (to the nearest 10th)

Step-by-step explanation:

V=\pi r^{2} \frac{h}{3}

{2} h=3\frac{v}{\pi r^{2} }=3(\frac{13.4}{\pi (1.6^{2} ) } )≈4.99846

7 0
3 years ago
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