1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blondinia [14]
3 years ago
9

A wise man gave his students this riddle; “how old am I if 400 reduced by three times my age is 175

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0
400-3x=175
-3x=-225
x=75 years old
You might be interested in
Find the equation of the axis of symmetry of the following parabola algebraically.
mr Goodwill [35]

Answer:

the equation of the axis of symmetry is x=8

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: x=constant, being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of  the vertex of a parabola of the general form: y=ax^2+bx+c, is given by:

x_{vertex}=\frac{-b}{2\,a}

which in our case becomes:

x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{48}{2\,(3)} \\x_{vertex}=\frac{48}{6} \\x_{vertex}=8

Then, the equation of the axis of symmetry for this parabola is:

x=8

4 0
3 years ago
Which statment explains how to round 4,826 to the nearest hundred?
faltersainse [42]
Round to 4,800 because 2 &It;5.
5 0
3 years ago
Read 2 more answers
Unit 4 Test, Part 2: Congruence and Constructions<br> Help with my math please
lakkis [162]

Answer/Step-by-sep explanation:

1. Given:

∆NMK ≅ ∆TRP

\overline{NM} = 20

\overline{MK} = 15

\overline{KN} = 25

\overline{TR} = 3x - 1

a. To complete the congruent statement, thus: ∆MNK ≅ ∆RTP

b. The side that is congruent to \overline{TR} is \overline{NM}. Thus:

\overline{TR} ≅ \overline{NM}

c. Since \overline{TR} ≅ \overline{NM}, therefore:

\overline{TR} = \overline{NM}

3x - 1 = 20 (substitution)

Add 1 to both sides

3x = 20 + 1

3x = 21

Divide both sides by 3

x = \frac{21}{3}

x = 7

2. a. Slope of LK = \frac{rise}{run} = \frac{4}{3}

Slope of LM = \frac{rise}{run} = -\frac{3}{5}

b. ✍️Length of LK is the distance between L(-7, 4) and (-4, 8):

Lk = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Lk = \sqrt{(-4 -(-7))^2 + (8 - 4)^2}

Lk = \sqrt{(3)^2 + (4)^2}

Lk = \sqrt{9 + 16}

Lk = \sqrt{25}

Lk = 5

✍️Length of LM is the distance between L(-7, 4) and (-2, 1):

LM = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

LM = \sqrt{(-2 -(-7))^2 + (1 - 4)^2}

LM = \sqrt{(5)^2 + (-3)^2}

LM = \sqrt{25 + 9}

LM = \sqrt{34}

LM = 5.8 (nearest tenth)

∆KLM is not an isosceles ∆ because it does not has two equal side lengths. This we can see because LK and LM are not equal.

Therefore, Anthony is incorrect. Am isosceles ∆ has two equal sides.

8 0
3 years ago
An aquarium is leaking water at the rate of three quarts in 4 days.How many quarts are leaked in 1 week?How many days does it ta
Simora [160]

Answer:

\frac{21}{4} quarts

12 days

Step-by-step explanation:

Given that:

Amount of water leaked in 4 days = 3 quarts

To find:

Number of quarts leaked in 1 week?

Number of days taken for the leakage of 9 quarts of water?

Solution:

We can simply use unitary method or the ratio to find the answers of the questions asked in the statement.

As per question statement:

Amount of water leaked in 4 days = 3 quarts

Dividing by 4 on both sides:

Amount of water leaked in 1 day = \frac{3}{4} quarts

Multiplying by 7 on both sides:

Amount of water leaked in 7 days = \frac{3}{4}\times 7 = \frac{21}{4} quarts

Number of days taken for the leakage of 3 quarts = 4 days

Multiplying by 3 on both sides:

Number of days taken for the leakage of 3 \times 3 = 9 quarts = 4 \times 3 = <em>12 days</em>

6 0
3 years ago
Stan earns $12 per hour by working as an intern at a law firm. How much money does he earn in a week in which he works 28 hours?
torisob [31]

Answer:

D

Step-by-step explanation:

Stan works for 28 hours and gets paid $12 for each hour, so the amount of money he gets in total is $12*28 = $336.

8 0
2 years ago
Other questions:
  • Math is hard help me pls
    13·2 answers
  • Someone plz help me i don't know the answer
    8·1 answer
  • If a father 70 percent more money in his savings account than his daughter has in her savings account and the daughter has $4500
    9·1 answer
  • Change 7 3/8 from a mixed. number to to an improper fraction
    13·2 answers
  • What is the value of x?<br> х<br> 6v2<br> 45°
    8·2 answers
  • What is the side length of NO
    11·1 answer
  • This is a statistics and probability guys help ehem! Senior high here! Help meeee
    7·1 answer
  • HELP WILL MARK RIGHT ANSWER BRAINLIEST
    14·1 answer
  • N˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙˙n​
    7·2 answers
  • When we use a least-squares line to predict y values for x values beyond the range of x values found in the data, are we extrapo
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!