Carl is planning out his route for an upcoming race. He uses negative numbers to represent points before the finish line and positive numbers to represent points past the finish line. On Carl's map, the last water station is at − 27 1 4 −27 4 1 ​ minus, 27, start fraction, 1, divided by, 4, end fraction meters, and his family is watching him at 9 1 2 9 2 1 ​ 9, start fraction, 1, divided by, 2, end fraction meters. What does 0 00 meters represent?

Answer:

$243.17

Step-by-step explanation:

X+(X*5.25/100)=255.94

Make x the subject

X=243.17

The answer is B, hope this helped you!

The question is incomplete:

The sum of the average amounts spent for veterinary expenses for​ dogs, cats, and birds in a recent year was ​$293 The average expenditure per dog exceeded the sum of the averages for cats and birds by ​$113. The amount spent per cat was 9 times the amount spent per bird. Find the average amount spent on each type of animal.

Answer:

The average amount spent in dogs is $203, in cats is $81 and in birds is $9.

Step-by-step explanation:

From the information given, you can write the following equations:

x+y+z=293 (1)

x-y-z=113 (2)

y=9z (3)

You can replace (3) in (1) and (2):

x+9z+z=293

x+10z=293 (4)

x-9z-z=113

x-10z=113 (5)

Now, you have the following equations:

x+10z=293 (4)

x-10z=113 (5)

Then, you can isolate x in (4):

x=293-10z (6)

Next, you can replace (6) in (5):

293-10z-10z=113

293-20z=113

293-113=20z

180=20z

z=180/20

z=9

Now, you can replace the value of z in (6) to find x:

x=293-10z

x=293-10(9)

x=293-90

x=203

Finally, you can replace the value z in (3) to find y:

y=9*(9)

y=81

According to this, the answer is that the average amount spent in dogs is $203, in cats is $81 and in birds is $9.

To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator

Reason:

Examples of fractions that has 10 and 100 as denominators are;

[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]

The steps to express the above fractions as decimals are;

Place a decimal point to the right to the number in the numerator as follows;

[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]

Move the decimal point to the left a number of places equal to the number of zeros in the denominator

Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point

Where the denominator is a 100, the decimal point is moved left two places, as follows;

[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]

Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator

100 = 10² in the denominator (move the decimal point two places left)

10 = 10¹ in the denominator (move the decimal point one place left)

Learn more here:

https://brainly.com/question/3425446

Answer:

Yes

Step-by-step explanation:

[tex]2 * 36 = 72\\ 3 * 24 = 72[/tex]

Answer:

Yes.

Step-by-step explanation:

2 times 36 = 72 and 3 times 24 = 72

Hope this helped! ^-^

Answer:

2744

Step-by-step explanation:

Let Al had x pennies initially.

Al agreed to give 3/7 of his pennies to Bev if she would give 3/7 of what she got from Al to Carl and if Carl in turn would give 3/7 of what he got from Bev to Dani.

So, as per the given condition,

The number of Pennies received by Ben from Al [tex]= \frac{3}{7} x[/tex]

The number of Pennies received by Carl from Bev

[tex]=\frac{3}{7} \times \frac{3}{7} x=\frac{9}{49}x[/tex]

The number of Pennies received by Dani from Carl

[tex]= \frac{3}{7}\times \frac{9}{49}x=\frac{27}{343} x[/tex]

Now, as Dani received 216 Pennies, so

[tex]\frac{27}{343} x =216[/tex]

[tex]\Rightarrow \frac{216\times 343}{27}=2744.[/tex]

Hence, initially, Al had 2744 Pennies.

Answer:

20m-3

Step-by-step explanation: hope that helps :)

2+29m−9m−5

=2+29m+−9m+−5

Combine Like Terms:

=2+29m+−9m+−5

=(29m+−9m)+(2+−5)

=20m+−3

Answer:

$31.70

Step-by-step explanation:

Answer:

4*(-5) = -20

Step-by-step explanation:

Step-by-step explanation:

could the conditional statement be written in another way

Answer:

The correct answer would be 18 which means that the decimal is in the wrong spot.

Step-by-step explanation:

Answer:

yah for some reason i cant find it

Answer:

sssssssssssssss

Step-by-step explanation:

Answer:

[tex]|A-38|=5[/tex]

33% or 43%

Step-by-step explanation:

Given that poll is accurate within [tex]\pm5[/tex].

38% voters have voted for candidate A.

[tex]A[/tex] is the percent of voters who will vote for candidate A.

So, value of A can be 38+5=43%

OR

38-5 = 33%

We will write an absolute function for the above situation.

But, first of all, let us have a look at the definition of Absolute value function.

[tex]|y|=\left \{ {-{y}\ if\ y<0 \atop {y}\ if\ y>0} \right.[/tex]

The the value of function gives us a negative sign when the value inside the modulus function is negative.

[tex]A-38[/tex] will be negative when [tex]A < 38[/tex] and

[tex]A-38[/tex] will be positive when [tex]A>38[/tex].

This difference is given as [tex]\pm5[/tex].

Therefore, the absolute value function can be written as:

[tex]|A-38|=5[/tex]

Case 1: [tex]A < 38[/tex]

As per definition of modulus function, it will open with a negative sign.

[tex]-A+38=5\Rightarrow A = 33[/tex]

Case 2: [tex]A>38[/tex]

As per definition of modulus function, it will open with a positive sign.

[tex]A-38=5\Rightarrow A = 43[/tex]

Therefore the answer is 33% or 43%

Answer:

Let's take this step by step:

2x+b=w

2x+b-b=w-b (the basics to what we are trying to do is to get x alone so that it equals whatever is on the other side of the equation.)

2x=w-b(now that we got rid of the b on the left side of the equation by canceling it out, we have to subtract by b on the other side of the equation as well)

2x divided by 2=w-b/2 (For our final step x is being mulitplied by 2 so what we can do to get x alone is canel out the multiplication by dividing by 2. What this does is it leaves x alone showing us what x equals)

x=w-b/2

Step-by-step explanation:

Answer:

8 lol

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Add from left to right 2+2=4 and then add 4+4 and you get 8

Answer:

The answer is 1.788

Step-by-step explanation:

Answer: 2-

Step-by-step explanation:

Multiply the amount of book Robin read by 1/2.

3/4 x 1/2 = 3/8

Mark read 3/8 of the book.

Answer:

B

Step-by-step explanation:

Answer:

I think it is B :D

Step-by-step explanation:

m= -3n -5/2

What is mathematical equation?

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.

In the given equation,

2m = −6n −5

Divide by 2 on both sides, we get

2m/2 = −6n/2 −5/2

m = -3n - 5/2

Therefore, our value of m is in terms of n, which is -3n - 5/2

Read more about mathematical equation here:

https://brainly.in/question/14933717

#SPJ2

Answer:

-3*-6*2^2+1

18*4+1

72+1

73

Step-by-step explanation:

2(5*-6*2-3)

2(-30*-1).

2*30

60

4*-6^2*2+2/10

4*36*2+2/10

4*72+2/10

288+2/10

290/10

29

9(-6-2^2)/6

9(-6-4)/6

9*10/6

90/6

15

The answer would be 25 bags of cement to 100 bags of sand by dividing 100 by 4.

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but I would show you how to answer a similar question.

We can say that polygons are similar if they have the same shape but not necessary same size. Also their corresponding angles are equal, while their corresponding sides are proportional.

From the image attached, we can see the lengths of the sides, hence we can find the values of x.

[tex]\frac{JN}{AE}=\frac{LM}{CD}\\ \\\frac{4.8}{4}=\frac{x}{3}\\ \\1.2=x/3\\\\x=3.6[/tex]

Answer:

Explained below.

Step-by-step explanation:

Let X = number of trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.

The probability of X is, p = 0.75.

A random sample of n = 5 trucks are observed on this stretch of I-77.

The random variable X follows a binomial distribution with parameters n = 5 and p = 0.75.

(a)

Compute the mean as follows:

[tex]\mu=n\times p=5\times 0.75=3.75[/tex]

The mean of this probability distribution is 3.75.

(b)

The mean of 3.75 implies that on average 3.75 trucks that will be going over the speed limit on I-77 South between Dobson and Elkin.

(c)

Compute the standard deviation as follows:

[tex]\sigma=\sqrt{np(1-p)}=\sqrt{5\times 0.75\times (1-0.75)}=0.968[/tex]

Thus, the standard deviation of this probability distribution is 0.97.

(d)

Compute the probability that exactly 3 of the observed trucks are speeding as follows:

[tex]P(X=3)={5\choose 3}(0.75)^{3}(1-0.75)^{5-3}\\\\=10\times 0.421875\times 0.0625\\\\=0.263671875\\\\\approx 0.2637[/tex]

Thus, the probability that exactly 3 of the observed trucks are speeding is 0.2637.

(e)

Compute the probability that less than 3 of the observed trucks are speeding as follows:

[tex]P(X<3)=P(X=0)+P(X=1)+P(X=2)\\\\=\sum\limits^{2}_{x=0}{{5\choose x}(0.75)^{x}(1-0.75)^{5-x}}\\\\=0.0009765625+0.0146484375+0.087890625\\\\=0.103515625\\\\\approx 0.1035[/tex]

Thus, the probability that less than 3 of the observed trucks are speeding is 0.1035.

Answer:

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

180-50=130

130/5=26

I believe.

Given :

Each pitcher of power smoothie that Ginger makes has 2 scoops of pineapple, 4 scoops of strawberries, 1 scoop of spinach, and 1 scoop of kale.

To Find :

If Ginger makes 6 pitchers of power smoothies, how many scoops will she use in all.

Solution :

Let, Ginger makes x pitchers of power smoothies :

[tex]Total \ scoops = 2x+4x+x+x+6x[/tex]

Now, it is given that Ginger makes 6 pitchers of power smoothies.

Total scoops are :

[tex]T=2(6)+4(6)+6+6+6(6)\\\\T=84\ scoops[/tex]

Therefore, number of scoops Ginger used is 84.

Hence, this is the required solution.

Step-by-step explanation:

[tex]m = \frac{r - s}{2nr} [/tex]

m(2nr) = r-s

2×n×r×m = r-s

move the r on the right side to the left side

2nrm - r = -s

r ( 2nm - 1 ) = -s

[tex]r \: = \frac{ - s}{(2nm - 1)} [/tex]

Answer:

I think it will help you

Answer:

6.4 m

Step-by-step explanation:

The image attached is a representation of the question. to the river hence the distance between the place where she landed and the rock where she was standing must be horizontal. We are now required to find the shortest vertical distance between the point where the rope was tied and the place where she wants to land.

Note that the woman used the rope to move down in

Applying the cosine rule;

[tex]c^{2} = a^{2} + b^{2} -2ab Cos C[/tex]

[tex]c^{2} = 13.7^{2} + 7.3^{2} - 2(13.7 *7.3) Cos 89o[/tex]

[tex]c^{2} = 6.4 m[/tex]

Answer:

4:9 is the ratio

Step-by-step explanation:

4 in Texas and 9 in Michigan