The number of students taking algebra increased 20% in one year. If
60 students are taking algebra this year, how many took algebra last
year?

Answer:

25

Step-by-step explanation:

what is 35 divided by 1.4?

25.

25 x 1.4 (140%) = 35

you are looking for more than 100% of an unknown number so you can use this method to find the answer

hope that helped :)

The type of logical fallacy being used in the sentence "If you don’t want to drive from boston to New york, then you will have to take the train" is false dilemma.

It should be noted that a fallacy simply means a deceptive argument where the conclusion isn't supported by the premises.

In this case, false dilemma is when a limited number of options are incorrectly presented as being mutually exclusive.

Learn more about fallacy on:

https://brainly.com/question/20939336

Answer:

4(x² - x - 2)

Step-by-step explanation:

The highest common factor is 4 so factor it out.

Answer:

Step-by-step explanation:4x2−4x−84x2-4x-8Factor 44 out of 4x2−4x−84x2-4x-8.

Factor 44 out of 4x24x2.4(x2)−4x−84(x2)-4x-8Factor 44 out of −4x-4x.4(x2)+4(−x)−84(x2)+4(-x)-8Factor 44 out of −8-8.4(x2)+4(−x)+4(−2)4(x2)+4(-x)+4(-2)Factor 44 out of 4(x2)+4(−x)4(x2)+4(-x).4(x2−x)+4(−2)4(x2-x)+4(-2)Factor 44 out of 4(x2−x)+4(−2)4(x2-x)+4(-2).4(x2−x−2)

Factor x2−x−2x2-x-2 using the AC method

Consider the form x2+bx+cx2+bx+c. Find a pair of integers whose product is cc and whose sum is bb. In this case, whose product is −2-2and whose sum is −1-1.−2,1

Write the factored form using these integers.4((x−2)(x+1))4((x-2)(x+1))Remove unnecessary parentheses.4(x−2)(x+1)

Answer:

-9+x=-20

Step-by-step explanation:

I am not so positive on this one, but if you are not doing inequalities, then this should be correct.

"More than" would insinuate that you are adding. In this class, you would have a number to replace that x, but since no number was given, you place the x in its place. x=-11, because when you "add" -9 with something to get -20, it would have to be -11. Negative numbers can be confusing because when you subtract a negative number by another negative, you end up with a negative. Like in this case. Normally, you would just put -11, so it would look like -9 - 11 = -20. But since this says "more than", unless you are doing inequalities, you add.

If you are doing inequalities, then your answer should be this:

-9 > x = -20

I hope this helps!

-No one

====================================================

let's evaluate this expression

[tex]\pmb{\displaystyle\frac{8-m}{n+p^2} }[/tex]

[tex]\pmb{\displaystyle\frac{8-8}{2+7^2}}[/tex] (step 1)

[tex]\pmb{\displaystyle\frac{0}{2+49}}[/tex] (step 2)

simplify:

[tex]\pmb{\displaystyle\frac{0}{51}}[/tex] (step 3)

[tex]\pmb{0}[/tex] (step 4)

=======================================

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer: C

Step-by-step explanation:

Statement C is true

The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.

Interquartile range =  [tex]\underline{Q_{3} - Q_{1}}[/tex]

For bus drivers  = 30 - 5 = 25 miles

For teachers = 25 - 5 = 30 miles

Distance of bus drivers = distance of teachers - 5 miles

Answer: AAS

Step-by-step explanation:

Answer:

Step-by-step explanation:

Formula

Area = B * h

Givens

Base = 2.5

height = 5.25

Solution

You choose the value for the base and height from the fact that the height touches the base (which has been extended) at right angles.

Area =  2.5 * 5.25

Area = 13.125

Answer: Area = 13.125 or 13 1/8

Answer:

[tex]x=20[/tex]

Step-by-step explanation:

Solve the following equation for x:

[tex]1500=1/3(15)^{2} x[/tex]

TSA:-

Answer:

a+b = b+a

Step-by-step explanation:

Using the Central Limit Theorem, we have that:

a) Since there are at least 10 successes and 10 failures, the condition is met.

b) Using the formula [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], with n = 400 and p = 0.11, the standard error is of 0.0156.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

Item a:

44 are found to be defective, hence:

Which means that the conditions are met.

Item b:

We have that the parameters are:

[tex]n = 400, p = \frac{44}{400} = 0.11[/tex]

Hence, the standard error is given by:

[tex]s = \sqrt{\frac{0.11(0.89)}{400}} = 0.0156[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer:

Yes.

Step-by-step explanation:

18 gal = 288 cups.

(1 gal = 16 cups)

If 240 students purchase 1 cup each, there will be 48 cups left over.

So,yes, there will be enough punch for everyone.

Please mark as brainliest!

Thanks!

q = 12.5

hope it helps..!!!

Answer:

12.5

Step-by-step explanation:

u dont need it lol

Step-by-step explanation:

11 ÷ 20 = 0.55

0.55 × 100 = 55

so 55%

Answer:

6

Step-by-step explanation:

Answer:

1) [tex]\sqrt{2}[/tex]

2) 11

3) 5

4) 8

5) I feel like there is something wrong with this question

6) [tex]\sqrt{3}[/tex]

7) 10

8) 4

9) 18

10) 8[tex]\sqrt{3}[/tex]

Step-by-step explanation:

#1

In this rule, it is saying that is two of the sides are the same and two of the angles are 45 degrees, then you can find the measurement of the hypotenuse or one of the legs of the triangle

Here, the hypotenuse is equal to what the length of one of the legs are and multiplied by [tex]\sqrt{2}[/tex]

Since the length of one of the legs are 4, multiply that by [tex]\sqrt{2}[/tex] and you will get:

4[tex]\sqrt{2}[/tex]

#2

Same concept, but reverse

The hypotenuse is 11[tex]\sqrt{2}[/tex] and to go back to one of the leg lengths, instead of multiplying, you want to divide.

So:

[tex]\frac{11\sqrt{2} }{\sqrt{2} }[/tex]

Which is equal to:

11

You can also do this by knowing that the legs are the same length and knowing that b=11, and a=b, a is also equal to 11

#3

Same as the previous question

[tex]\frac{5\sqrt{2} }{\sqrt{2} }[/tex]

b = 5

#4

a and b are equal to x, and in this case, x is 8.

So going back to the picture, you can see that you need to multiply this x by [tex]\sqrt{2}[/tex] to get 8[tex]\sqrt{2}[/tex]

#5

You'd have to ask your teacher for this one because it is impossible to have a leg that is longer than the hypotenuse

#6-10

Apply the same rules for these set of questions:

Notice that there is a different system for these though, I will let you figure them out.

Answer:

BDC  and ADB

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

3 x 4 = 12

7 x 5 = 35

35 + 12 = 47

the answer is

35.6540944227

Answer:

165

Step-by-step explanation:

First, we multiply 50 and 2 to find out how much they traveled first, which is 100. And then, multiply 65 and 1 to get 65 for the second part. Add then, to get 165. Hope this helps!

Answer:

The answer is 165 miles.

This is how I solved it:

First I made a chart like the one in the picture

Then I inserted the Rate for each part of the trip. The rate for Part One is 50 miles per hour, and the rate for Part Two is 65 miles per hour.

Next, I would insert the Time for each part of the trip. The time for Part One is 2 hours, and the time for Part Two is 1 hour.

Because we now have the values for r and t for each part of the trip, we need to calculate the distance for each part by using the distance formula, d=r x t, and multiplying the rate and the time.

For Part One, multiply 50 miles per hour x 2 hours; this equals 100 miles. For Part Two, multiply 65 miles per hour times 1 hour; this equals 65 miles.

So, Tom traveled 165 miles to the museum.

Hope this isn't confusing XD

FYI the attachment is just an example from another question so the answers are not the same

Answer:

x = -8

Step-by-step explanation:

9+8x-4-5x=-19

5+8x-5x=-19

5+3x=-19

-5 =-19

3x = -24

3/3 = -24/3

x= -8

Answer:

77.00

Step-by-step explanation: just round and subtract

The price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

The consumer price index is the new cost of market basket in terms of percentage of old cost of market basket.

Then, we have:

[tex]CPI_t = \dfrac{C_t}{C_0} \times 100[/tex]

For this case, we're given that:

Thus, we get:
[tex]186 = \dfrac{C_t}{41.4} \times 100\\\\C_t = \dfrac{186 \times 41.4}{100} \approx \$77[/tex]

Thus, the price of the bicycle helmet cost at the time when CPI is 186 is given by: Option C; $77

Learn more about consumer price index here:

https://brainly.com/question/5992428

Using the binomial distribution, it is found that there is a 4% probability of Anne winning two matches.

The formula is:

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

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

The parameters are:

In this problem:

The probability that he wins two matches is P(X = 2), hence:

[tex]P(X = 2) = C_{2,2}.(0.2)^{2}.(0.8)^{0} = 0.04[/tex]

4% probability of Anne winning two matches.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

The reason for one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to a bar graph.

In the problem, the data given as,

Thus, the reason of one graph appears skewed, and one graph appears symmetric is the interval on the x-axis of the histogram is inconsistent.

Learn more about the histogram here;

https://brainly.com/question/2962546

Length of the diagonal of rectangular prism is equals to 13units.

" Rectangular prism is a three dimensional figure which has six faces in rectangular shape."

Formula used

Total surface area of the rectangular prism = 2(l b + b h +l h)

Sum of all the  edges of the prism = 4 (l +b + h)

length of the diagonal  of the prism = √l² + b² + h²

l = length of the prism

b = width of the prism

h = height of the prism

According to the question,

Given,

Total surface area of the rectangular prism = 56 units

⇒2(l b + b h +l h) = 56

Sum of all the edges of the prism = 60 units

⇒4(l + b + h) = 60

Divide both the side by 4 we get,

 (l + b + h) = 60 / 4

⇒(l + b + h) = 15                               ____(1)

Squaring both the side of (1)  we get,

  (l + b + h)² = (15)²

⇒l² + b² + h² + 2 (l b + b h +l h) = 225

Substitute the value of total surface area  to get length of the diagonal,

 l² + b² + h² + 56 = 225

⇒l² + b² + h²  = 225 - 56

⇒l² + b² + h²  = 169

⇒√l² + b² + h²  = √169

⇒√l² + b² + h²  =  13

Hence, length of the diagonal of rectangular prism is equals to 13units.

Learn more about rectangular prism here

https://brainly.com/question/21308574

#SPJ2

Answer:

?????

Step-by-step explanation: