How many gallons of a 50​% antifreeze solution must be mixed with 80 gallons of 30​% antifreeze to get a mixture that is 40​% ​antifreeze? Use the​ six-step method.

You need ___ gallons.

Answer: she has 15 dimes and 45 pennies.

Step-by-step explanation:

01p+1d=1.95

p=3d

01(3d)+.1d=1.95

p=3.15

03d+.1d=1.95

p=45

.13d=1.95

d=15

Answer:

171200 pennies

Step-by-step explanation:

Amount after 2 years = Principal + Interest

Given

Principal = £1600

Rate = 3.5%

Time = 2years

Get the interest

Interest = PRT/100

Interest = 1600*3.5*2/100

Interest = 32 * 3.5

Interest = £112

Get the amount after 2 years;

Recall that:

Amount after 2 years = Principal + Interest

Amount after 2 years = 1600 + 112

Amount after 2 years  = £1712

Hence the amount Dan will have after 2 years is £1712

1712 pounds = (1712 * 100)penny

1712 pounds = 171200 pennies

Answer:

30

Step-by-step explanation:

......................

Answer:

alabama is 7.85 million

Step-by-step explanation:

Answer:

Rounding to the nearest number, the answer would be 12 units

Step-by-step explanation:

I hope this helped! Please mark me as brainliest if you can!

0.75 pizza

Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.

Answer:

0.666667

Step-by-step explanation:

8 pizzas ÷ 12 people = 0.66667 pizzas for each.

Answer: 60$

Step-by-step explanation:

because you have the initial 30$ One time fee then you times 6$ by 5 days and 6x5= 30 then you add 30+30= 60

Answer: He worked 40 hours that week.

Step-by-step explanation:

Given : The owner of an automotive shop devotes 90% of his workweek to supervising, sales and accounting tasks. In one week.

Let x = Number of hours he work in a week.

then, Hours for supervising, sales and accounting tasks = 90% of x

As per given ,

[tex]90\%\ of \ x= 36\\\\\Rightarrow\ 0.90x=36\\\\\Rightarrow\ x=\dfrac{36}{0.9}=\dfrac{360}{9}\\\\\Rightarrow\ x=40[/tex]

Hence, he worked 40 hours that week.

Answer:

$25.50

Step-by-step explanation:

Answer:

(40)(15/100)=6

(40)(25/100)=10

10+6=16

orginal price at 40

After discounts 16

40-16=24

so you can buy it in 24$

Hope it helped you

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

The triangle on the right is bigger than the triangle on the left.

I am joyous to assist you at any time.

Answer:

0.2356

Step-by-step explanation:

Given that:

μ = 40; σ = 16

P(50 ≤ x ≤ 70) :

Using the Zscore formula :

(x - μ) / σ

P((50 - 40) / 16 ≤ Z ≤ (70 - 40) / 16)

P(50 ≤ x ≤ 70) = P(0.625 ≤ Z ≤ 1.875)

Using the Z probability calculator :

P(Z ≤ 1.875) - P(Z ≤ 0.625) -

0.9696 - 0.73401

= 0.23559

= 0.2356

Answer:

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Step-by-step explanation:

For each surname, there are only two possible outcomes. Either they are among the 10 most common, or they are not. Each author is independent of each other. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

These names account for 9.6% of all U.S. residents.

This means that [tex]p = 0.096[/tex]

8 authors in total.

This means that [tex]n = 8[/tex]

What is the probability that none of the 8 surnames of these authors were among the 10 most common

This is [tex]P(X = 0)[/tex]. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{8,0}.(0.096)^{0}.(0.904)^{8} = 0.4460[/tex]

0.4460 = 44.60% probability that none of the 8 surnames of these authors were among the 10 most common

Answer:

3 3/5 x (-8 1/3) = -30/1

= -30

Step-by-step explanation:

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

(

x

−

1

)

(

x

+

2

)

(

2

x

+

3

)

(

x

2

−

x

−

1

)

(

0

)

(

x

+

3

)

Step-by-step explanation:

Answer:

y =2x

Step-by-step explanation:

Answer:

It's C :)

Step-by-step explanation:

Next time check the y-intercept

Green has a intercept of 1

and purple has -3

Answer:

n = 19.6

Step-by-step explanation:

Given the expression;

1.6(1 + 0.5n) - 3.2 = 1.1(n - 6.8)

Open the bracket

1.6 + 0.8n - 3.2 = 1.1n - 7.48

Collect the like terms

0.8n - 1.1n = -7.48 + 3.2 - 1.6

-0.3n = -5.88

n = -5.88/-0.3

n = 19.6

Hence the value of n is 19.6

Answer:

-5

Step-by-step explanation:

here u go! hope i got it fast enough!

Answer:-5

Step-by-step explanation:

When there are two minuses It becomes plus

Answer: 23.36 and 46.67

Step-by-step explanation:

Number 1:

Number 2:

Answer: It would be 43 mittens

Step-by-step explanation:

Answer:

Every number in decimal form, in which either decimals terminate or certain numbers after decimal point continue to repeat endlessly, can be written as a fraction. As the given number 4.5 terminates after first deciimal it can be written as fraction. Here we have 4.5=4510=92 a fraction.

Step-by-step explanation:

hope i could help

Answer:

Step 2: 11 × 2 - 7

Step-by-step explanation:

unzsun sun dn I'd i

Answer:

5/3

Step-by-step explanation:

(5/6)÷(1/2)

= (5/6) x 2

= 10/6 = 5/3

Hope this helps!

Answer:

the correct answer is 5/3

I'm 100000000000% sure

Answer:

The below is the answer to the equation. 4.5, 0

Step-by-step explanation:

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

Hope this helped :)

Step-by-step explanation:

Because he always do that non sense thing by this true method and always shout it when they will go from their house

Answer:

y-4=–911(x+8)

please mark as brainliest

Answer:y-4=–911(x+8)

Step-by-step explanation:

This is the correct answer i do k12