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3 years ago

How do you solve this

Mathematics

2 answers:

mars1129 [50]3 years ago

8 0

Answer:

The inquality is always false i think..

Step-by-step explanation:

Paraphin [41]3 years ago

5 0

Answer: e ≤ 2

Step-by-step explanation:

Isolate e by dividing both sides by 3:

3e ≤ 6

÷3 ÷3

e ≤ 2

Any number less than or equal to 2 is a valid solution to the inequality.

{-∞, ...., -1, 0, 1, 2}

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Julio bought 4 pencils and 3 erasers for $0.37 and David paid $0.33 for 3 pencils and 4 erasers. What is the cost of one pencil?

nirvana33 [79]

Answer:

Each pencil costs $0.07 and each eraser costs $0.03

Step-by-step explanation:

System of linear equations

It refers to the study of systems when n variables are related in m linear equations, each one is not independent from the others. Solving such systems can be done following very diverse approaches.

Let p=the price of each pencil while e is the price each eraser

Julio bought 4 pencils and 3 erasers, spending

$4p+3e=0.37$

David bought 3 pencils and 4 erasers, spending

$3p+4e=0.33$

The system of equations is written in the form

$\left\{\begin{matrix}4p+3e=0.37\\ 3p+4e=0.33\end{matrix}\right$

We'll solve it by reduction. Multiplying the first equation by -3 and the second by 4:

$\left\{\begin{matrix}-12p-9e=-1.11\\ 12p+16e=1.32\end{matrix}\right.$

Adding both equations:

7e=0.21

e=0.03

Multiplying the first one by -4 and the second by 3

$\left\{\begin{matrix}-16p-12e=-1.48\\ 9p+12e=0.99\end{matrix}\right.\end{matrix}\right.$

Adding both equations:

-7p=-0.49

p=0.07

Solution: Each pencil costs $0.07 and each eraser costs $0.03

7 0

3 years ago

Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2

Nana76 [90]

Answer: $k=18\dfrac{8}{11}$ .

Step-by-step explanation:

If a line passing through two points, then

$Slope=\dfrac{y_2-y_1}{x_2-x_1}$

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN $=\dfrac{1-0}{5-0}=\dfrac{1}{5}$

The endpoints of segment AB have coordinates $\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)$ and $\left(-2\dfrac{1}{4} , k\right)$ .

$A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)$

$B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)$ .

Slope of AB $=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}$

$=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}$

$=\dfrac{4k-9}{4}\times \dfrac{44}{-145}$

$=4k-9\times \dfrac{11}{-145}$

$=\dfrac{44k-99}{-145}$

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

$\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1$

$\dfrac{44k-99}{-725}=-1$

$44k-99=725$

$44k=725+99$

$k=\dfrac{824}{44}$

$k=\dfrac{206}{11}$

$k=18\dfrac{8}{11}$

Therefore, the value of k is $k=18\dfrac{8}{11}$ .

8 0

3 years ago

Read 2 more answers

Please can someone help me

disa [49]

Answer:

I believe your answer is correct.

Step-by-step explanation:

3 0

2 years ago

How many possible outcomes are there if you choose a card from a standard deck?

MaRussiya [10]

Total outcomes: 52- 1% chance of any card

Outcomes for each type of card(heart, diamond,spades,cloves): 4 -25%

hope this helps

7 0

3 years ago

Please Help ! Will give brainliest!

sveta [45]

Answer:

D: I and IV only.

Step-by-step explanation:

We can go through each statement and examine its validity.

I) All congruent triangles are similar.

For congruent triangles, all of its corresponding sides and angles are congruent.

Since all angles are congruent, this fulfills the AA Similarity criterion. Thus, I is true.

II) All similar triangles are congruent.

Congruence guarantees similarity, but similarity does not guarantee congruence.

Two triangles need only two congruent angles to guarantee similarity, while two congruent angles does guarantee congruence. II is false.

III) All right triangles are similar.

Triangles are similar through the AA criterion. One angle of a right triangle must be 90, so this leaves 90 for the two remaining angles. Since these two angles can be anything that sum to 90, we are not guaranteed similarity. For example, 20 - 70 - 90 and 30 - 60 - 90 triangles. They are both right triangles, but are not similar. III is false.

IV) All isosceles right triangles are similar.

Again, since we have a right triangle, one angle is 90, which leaves two remaining angles that must sum to 90.

However, since it is isosceles, the two remaining angles must measure the same. Only one solution exists then: both angles must be 45.

Since all angles must be 45 - 45 - 90, it fulfills the AA Criterion. Thus, all isosceles right triangles are similar. IV is true.

The correct statements are I and IV.

3 0

3 years ago