MATHEMATICS HIGH SCHOOL

Brian is ordering books online. He has $100 to spend on the books. Each book costs $7. The shipping charge for the entire order is $8. The number of books, b, that Brian can buy is represented by the inequality 7b + 8 < 100. How many books can Brian buy without overspending?13

15

18

20

Answers

Answer 1
Answer: You have to plug in the numbers.
So first let's plug in 13. 7*13+8=99
Now 15. 7*15+8=113
Now 18. 7*18+8=134
Lastly 20. 7*20+8=148
The answer is 13.
Answer 2
Answer: You have $100 but the shipping is $8 so you subtract that from $100 and get $92, At $7 dollers a book you can get 13 books before going over 7x13=91. So the answer is 13 and you will spend $99 total.

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Answers

Here it is the answer

The ratio of the same side interior angles of two parallel lines is 1:14. Find the measures of all eight angles formed by the parallel lines and transversal. Sorry! Would appreciate if you give the answer by Tuesday! Thanks

Answers

Given that the same-side interiorangles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

Applying the knowledge of ratio, transversal and parallel lines, we can determine the measures of all 8 angles that are formed when a transversal intersects two parallel lines as shown in the image attached below.

Let < 1 and < 6 be the two same-side interior angles whose measures are in the ratio, 1:14.

Thus:

  • m<1 : m<6 = 1 : 14

Recall:

Same-side interior angles are always supplementary. That is,

m<1 + m<6 = 180 degrees.

Let's apply ratio to find the measure of <1 and <6.

  • m<1 = ratio of <1 / sum of ratio x 180

m \angle 1 = (1)/(1 + 14) * 180\n\nm \angle 1 = (1)/(15) * 180\n\nm \angle 1 = 12^(\circ)

  • m<6 = ratio of <6 / sum of ratio x 180

m \angle 6 = (14)/(1 + 14) * 180\n\nm \angle 6 = (14)/(15) * 180\n\nm \angle 6 = 168^(\circ)

Since we know the measure of <1 and <6, we can find the measure of others as follows:

  • m<2 = m<6 = 168° (corresponding angles are congruent)

  • m<3 = m<6 = 168° (alternate interior angles are congruent)

  • m<4 = m<1 = 12° (vertical angles are congruent)

  • m<5 = m<1 = 12° (corresponding angles are congruent)

  • m<7 = m<6 = 168° (vertical angles are congruent)

  • m<8 = m<4 = 12° (corresponding angles are congruent)

In conclusion, given that the same-side interiorangles formed by two parallel lines and a transversal have an angle ratio of 1:14, the eight angles formed are:

m<1 = 12°

m<2 = 168°

m<3 = 168°

m<4 = 12°

m<5 = 12°

m<6 = 168°

m<7 = 168°

m<8 = 12°

Learn more here:

brainly.com/question/15937977

Answer:

At the intersection of the first parallel line with the transversal, a = 12°, c = 168°, d = 12°, e = 168°. Counting counterclockwise from a.

At the first intersection of the second parallel line with the transversal, b = 168°, f = 12°, g = 168°, h = 12°. Counting clockwise from b.

Step-by-step explanation:

Let a be the first interior angle. Since they are in 1:14, the second same side interior angle is b = 14a.

We know that the sum of interior angles equals 180°.

So, a + b = 180°

a + 14a = 180°

15a = 180°

a = 180/15

a = 12°

At alternate angle to the other interior angle, b adjacent to a is c = b = 14a = 14 × 12 = 168°

The angle vertically opposite to a is d = a = 12°

The angle vertically opposite to a is b = e = 168°

At the intersection of the second parallel line and the transversal, the angle alternate to a is f = a = 12°

the angle vertically opposite to angle b is g = b = 168°

the angle vertically opposite to f is h = 12°

When creating a scatterplot, if the points are too close together to see the relationship, how could you adjust your graph?A.
decrease your scale values
B.
increase your scale values
C.
plot more points
D.
plot fewer points

Answers

The correct answer for this question is this one: "B. increase your scale values"

When creating a scatterplot, if the points are too close together to see the relationship, You adjust your graph by increasing your scale values
Hope this helps answer your question and have a nice day ahead.

Answer:

Option: B is correct.

B) Increase your scale values.

Step-by-step explanation:

When creating a scatterplot, if the points are too close together to see the relationship,then we must increase the scale value of our graph .

"  Because by doing so the point will seem to be farther and we could see the clear relationship between the points and hence it will not create any confusion regarding the visual of the points and hence easily the inference could be drawn"

Hence, option: B is true.

(B) Increase the scale value)

Joe says there is a total of 40 students. Do you agree with Joe? Why or Why not?

Answers

Answer:

Step-by-step explanation:

Well the question you should be asking first is....what is part a? Because if you put that picture up i could mostly help sooo

How do you solve the following exponential equation by expressing each power of the same base and then equating the exponents?6^x-3/4= square rot of 6

Answers

Start by switching everything into exponent form: 6^(x-3/4)=6^(1/2). In this equation, we're trying to find the value of x that will make each side equal. Because the base (6) is the same on either side of the equal sign, all we need to worry about is the exponents, because this equation can only be true if the exponents are the same (i.e. 6^(1/2)=6^(1/2)). Thus, you can actually ignore the 6's entirely and only focus on the exponents: x-3/4=1/2. Then, this has just become a simple algebraic expression. x-3/4+3/4=1/2+3/4. x=1/2(2/2)+3/4. x=2/4+3/4. x=5/4
6^{x-\tfrac{3}{4}}=√(6)\n6^{x-\tfrac{3}{4}}=6^{\tfrac{1}{2}}\nx-(3)/(4)=(1)/(2)\nx=(1)/(2)+(3)/(4)\nx=(2)/(4)+(3)/(4)\nx=(5)/(4)

¿Cuántos litros de agua se precisa para llenar una piscina inflable de 1/4 de metro cúbico?

Answers

Answer:

250 litters

Step-by-step explanation:

To solve this question, we first need to know the conversion from cubic meter to liter.

1 cubic meter is equal to 1000 liters.

So, if we have 1/4 cubic meter, we can use a rule of three to find how many liters we will need:

1 m3 -> 1000 L

1/4 m3 -> x L

x * 1 = (1/4) * 1000

x = 1000 / 4 = 250 L

So we need 250 liters of water.
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