7. Solve:
The product of 5, and 3 more
than twice a number, is 85.
What is the number?

Answer:

It will cost $121.50

Step-by-step explanation:

C = 20 + 25h + .05m

Now plug in the hours and miles

C = 20 + 25(4) + .05(30)

C = 20 + 100 + 1.5

C = 121.50

The total cost rent the truck for 4 hours and 30 miles drive is $121.5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Given that, a home improvement store charges $20 to rent a small truck for 1 hour.

Let the number of hours be h and the number of miles be m.

Now, total charge = 20+25h+0.05m

Here, h=4 and m=30

So, total charge = 20+25(4)+0.05(30)

= $121.5

Therefore, the total cost rent the truck for 4 hours and 30 miles drive is $121.5.

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Answer:18x13

Step-by-step explanation:

6x1=6 7x2=14 keep going up staying 5 less than or more than it doesn't matter cause its the same when dealing with just two exponents. When you get to 18x13 you get 234.

Answer:

m=13

Step-by-step explanation:

Answer:

2(6+x)

Step-by-step explanation:

1. Multiply the numbers

20+2x-8

2. Subtract the numbers

12+2x

3. Factor 2 from the expression

2(6+x)

Answer:

D. 3

Step-by-step explanation:

two parallel lines have the same slope

Answer:

It is true!!!'djjfdjidjdneidid

Answer:

She should order 2400 coupons.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

She would like 40% of customers in the population to receive the highest possible discount, with an SEP of 0.01 for this population.

This means that [tex]p = 0.4, s = 0.01[/tex]

How many coupons should she order?

We have to find n. So

[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

[tex]0.01 = \sqrt{\frac{0.4*0.6}{n}}[/tex]

[tex]0.01\sqrt{n} = \sqrt{0.4*0.6}[/tex]

[tex]\sqrt{n} = \frac{\sqrt{0.4*0.6}}{0.01}[/tex]

[tex](\sqrt{n})^2 = (\frac{\sqrt{0.4*0.6}}{0.01})^2[/tex]

[tex]n = 2400[/tex]

She should order 2400 coupons.

Answer:C

Step-by-step explanation: you have to multiply first than subtract because it says subtract 32 FROM the product meaning multiplying comes first than subtract

Answer:

See attachment for graph

Step-by-step explanation:

Given

[tex]3x - 4y = 8[/tex]

Required

Graph the line

First, we calculate the intercepts

Set x = 0

So:

[tex]3x - 4y = 8[/tex]

[tex]3*0 - 4y = 8[/tex]

[tex]- 4y = 8[/tex]

Divide by -4

[tex]y = -2[/tex]

So, we have:

[tex](x,y) = (0,-2)[/tex]

Next, set y = 0

So:

[tex]3x - 4y = 8[/tex]

[tex]3x - 4 * 0 = 8[/tex]

[tex]3x = 8[/tex]

Divide by 3

[tex]x = 8/3[/tex]

So, we have:

[tex](x,y) = (8/3,0)[/tex]

The graph to be plotted must pass through [tex](x,y) = (0,-2)[/tex] and [tex](x,y) = (8/3,0)[/tex]

Here's my answer

hope it helps

Answer:

c=13.6km, B=47.9⁰, A=22.8⁰,

Using the cosine rule, the missing parts of the triangle are:

c = 13.6 km; B = 47.9°; C = 22.8°

Cosine rule is given as, c² = a² + b² ﹣ 2ab(cosC)

Given the following:

Find c using the cosine rule:

c² = 5.6² + 10.7² ﹣ 2(5.6)(10.7)(cos 109.3)

c² = 185.5

c = √185.5

c = 13.6 km.

Use the cosine rule to find A:

5.6² = 10.7² + 13.6² ﹣ 2(10.7)(13.6)(cosA)

31.36 = 299.45 ﹣ 291.04(cosA)

31.36 - 299.45 = ﹣ 291.04(cosA)

-268.09 = ﹣ 291.04(cosA)

0.9211 = (cosA)

C = cos^(-1)(0.9211)

C = 22.8°

Find B:

B = 180 - 22.8 - 109.3

B = 47.9°

Therefore, using the cosine rule, the missing parts of the triangle are:

c = 13.6 km; B = 47.9°; C = 22.8°

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Answer:

r=-6

Step-by-step explanation:

[tex]m=\frac{y2-y1}{x2-x1} \\\frac{3-r}{6-(-6)} =\frac{3}{4} \\4(3-r)=3(12)\\12-4r=36\\-4r=24\\r=-6[/tex]

Answer:

i don't know

Step-by-step explanation:

I don't know

Step-by-step explanation:

= 2x +b

Use the given point (2, 5)

5 = 2(2) +b

b = 5 -4 = 1

The equation of the line is

y = 2x +1

Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept

Answer:

2ap + aq - bq -2bp = (a - b)(2p + q)

Step-by-step explanation:

(2ap + aq) - (bq -2bp)

a(2p +q) -b(q + 2p)    [ taking a common from the first, and b from the second]

(2p + q) [a - b]           [takin (2p + q)]

(2p + q)(a - b)

The completely factored form of the expression 2ap + aq - bq - 2bp is

(a - b)(2p + q).

In order to completely factorize the given expression, we need to look for common factors and apply factorization techniques.

Given expression: 2ap + aq - bq - 2bp

Step 1: Look for common factors.

Notice that 'a' is common in the first two terms, and '-b' is common in the last two terms.

Step 2: Factor out the common terms.

We can factor 'a' from the first two terms: a(2p + q)

And factor '-b' from the last two terms: -b(q + 2p)

Step 3: Rearrange the expression.

Now we have: a(2p + q) - b(q + 2p)

Step 4: Factor by grouping.

We can see that (2p + q) is common in both terms, so we can factor it out: (2p + q)(a - b)

Step 5: Final result.

Thus, the completely factored form of the given expression is

(a - b)(2p + q).

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Answer:

I think its B but I have very little evidence. Don't even put B but I was just saying I think it is.

Step-by-step explanation:

Answer:

[tex]\boxed{x=5},x=-9[/tex]

Step-by-step explanation:

To rid the denominators, multiply both sides by [tex](x-3)(x+1)[/tex].

We get:

[tex]6(x+1)-12(x-3)=(x-3)(x+1)[/tex]

Simplifying, we have:

[tex]6x+6-12x+36=x^2-3x+x-3,\\-6x+42=x^2-2x-3,\\x^2+4x-45=0[/tex]

Solving, we get:

[tex]x^2+4x-45=0,\\(x-5)(x+9)=0,\\x=5,x=-9[/tex]

Therefore, the solution with the greatest value is [tex]x=\boxed{5}[/tex]

Answer:

It takes 4.75 hours to travel 247 miles.

Step-by-step explanation:

This question is solved by proportions, using a rule of three.

A car travels at an average speed of 52 miles per hour.

This means that in 1 hour, the car travels 52 miles. How many hours for it to travel 247 miles?

1 h - 52 m

x h - 247 m

Applying cross multiplication

[tex]52x = 247[/tex]

[tex]x = \frac{247}{52}[/tex]

[tex]x = 4.75[/tex]

It takes 4.75 hours to travel 247 miles.

Answer:

The probability that x equals 19.62 is 0

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In the normal probability distribution, the probability of an exact value, that is, P(X = x) is 0. Thus, the probability that x equals 19.62 is 0

Answer:

3x+9 < 60 where x = Audrey's age

Step-by-step explanation:

Lou says "even if you tripled you age", which means that if Audrey's age is represented by the variable x, then we would multiply it by 3 to get 3x. the next part says "and add 9". We already have the 3x, so we would just tack on a +9 to get 3x + 9. The last part says "you still wouldn't be as old as me." Given that 3x+9 represents Audrey's age, this equation would have to be less than Lou's age, which in this case is 60.

Answer:

c. A number relatively close to 100.

Step-by-step explanation:

Given

[tex]Range: 0 \to 1[/tex]

[tex]N =1000[/tex] --- i.e. the cells

Required

Number of cells that contains less than or equal 0.2

Less than or equal 0.2 means that the numbers are approximately 20% of the whole distribution

So, to calculate the number (n) of these cells, we do the following computation

[tex]n = 20\% * N[/tex]

[tex]n = 20\% * 1000[/tex]

[tex]n = 200[/tex]

200 is closer to 100 than 500. Hence, (c) is correct

9514 1404 393

Answer:

See the attachment. Brainly doesn't like function constructs using f as a function name. Hence the picture.

Let's see what we can fill in here.

<ACE = 130

180 - 50 = 130

Now that we have two sides and an included angle, we can use the Law of Cosines.

Law of Cosines: c^2 = a^2 + b^2 - 2ab(cos(C))

Let's plug in what we know and solve!

c^2 = 40^2 + 38^2 - 2(40)(38)(cos(130))

R = 70.69706

Hope this helps!! :)

Answer:

R =70.6970629

Step-by-step explanation:

We need to use the law of cosines since we have 2 sides and the included angle

The angle inside is 180 -50 = 130

c^2 = a^2 + b^2 − 2ab cos(C)  where c is the side opposite the unknown angle

R^2 = 40^2 + 38^2 - 2*40 *38 cos (130)

R^2 = 1600 -1444-3040cos 130

R^2 = 3044-3040cos130

R^2 =4998.074333

Taking the square root of each side

sqrt(R^2) = sqrt( 4998.074333)

R =70.6970629

Answer:

24.

[tex] log_{2}(9) \\ = log_{2}(3) {}^{2} \\ = 3 log_{2}(3) \\ = \frac{3 log(3) }{ log(2) } \\ = 4.75[/tex]

25.

[tex]5. {9}^{x} = 12.48 \\ {9}^{x} = 2.496 \\ x log(9) = log(2.496) \\ x = \frac{ log(2.496) }{ log(9) } \\ x = 0.42[/tex]

26.

[tex]4 + 9. ln(x) = 15.8 \\ ln(x) = \frac{15.8 - 4}{9} \\ ln(x) = 1.311 \\ x = e {}^{1.311} \\ x = 3.71[/tex]

Answer:

This can happen in two ways:

1) 42 20-cent coins, 6 10-cent coins and 2 50-cent coins.

2) 30 10-cent coins, 10 20-cent coins and 10 50-cent coins.

Step-by-step explanation:

Given that a bag contains exactly 50 coins, and the coins are either worth 10 cents, 20 cents or 50 cents and there is at least one of each, and the total value of the coins is $ 10, to determine how many different ways can this occur, the following calculation must be performed:

48 x 0.5 + 1 x 0.2 + 1 x 0.1 = 24.30

48 x 0.1 + 1 x 0.2 + 1 x 0.5 = 5.5

48 x 0.2 + 1 x 0.1 + 1 x 0.5 = 10.3

45 x 0.2 + 4 x 0.1 + 1 x 0.5 = 9.9

44 x 0.2 + 5 x 0.1 + 1 x 0.5 = 9.8

42 x 0.2 + 6 x 0.1 + 2 x 0.5 = 10

30 x 0.1 + 10 x 0.2 + 10 x 0.5 = 10

Therefore, this can happen in two ways:

1) 42 20-cent coins, 6 10-cent coins and 2 50-cent coins.

2) 30 10-cent coins, 10 20-cent coins and 10 50-cent coins.

Answer:

80

Step-by-step explanation:

width x Length= area

8x 10= 80

Answer:

Samantha has 8 quarts of milk.  The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have?   x  a. 1 over 32   x  b. begin mathsize 16px style 1 half end style   x  c. 2   x  d. 32

Step-by-step explanation:Samantha has 8 quarts of milk.  The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have?   x  a. 1 over 32   x  b. begin mathsize 16px style 1 half end style   x  c. 2   x  d. 32vSamantha has 8 quarts of milk.  The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have?   x  a. 1 over 32   x  b. begin mathsize 16px style 1 half end style   x  c. 2   x  d. 32Samantha has 8 quarts of milk.  The ratio of quarts to gallons is 4:1. How many gallons of milk does Samantha have?   x  a. 1 over 32   x  b. begin mathsize 16px style 1 half end style   x  c. 2   x  d. 32

Answer:

x = -4

x = -6

Step-by-step explanation:

X^2+10x+24=0

(b/2)^2 = (10/2)^2 = 25

X^2+10x+25=-24+25

(x+5)^2 = 1

(x+5) = ± 1

x = +1 -5 = -4

x = -1 -5 = -6