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
Deffense [45]
3 years ago
6

a barge can safely haul no more than 400 tons across the river. the barge has an empty weight of 24 tons. the average weight of

the railroadd cars is 4 tons each. how many railroad cars can the barge haul?
Mathematics
1 answer:
Vaselesa [24]3 years ago
6 0

Answer:

The barge can carry up to 94 railroad cars.

Step-by-step explanation:

Create an inequality to represent the weight of the barge to the max weight.

24 + 4r ≤ 400

Solve for r:

4r ≤ 400 - 24

4r ≤ 376

4r ≤ 376/4

r ≤ 94


You might be interested in
How many feet tall is the building ​
Fantom [35]

Answer:

Height of the building = 77 ft.

Step-by-step explanation:

Let the height of the building (AB) = h feet

It's given that height of a woman (ED) = 5 feet 3 inches

                                                              ≈ 5 feet + \frac{3}{12} ft

                                                              ≈ 5.25 ft

Length of the shadow (BC) of the building = 55 ft

Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft

Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.

By the property of similar triangles,

\frac{AB}{ED}= \frac{BC}{DC}

\frac{h}{5.25}=\frac{55}{3.75}

h = \frac{55\times 5.25}{3.75}

h = 77 ft

Therefore, height of the building will be 77 ft.

6 0
3 years ago
You are given the parametric equations x=2cos(θ),y=sin(2θ). (a) List all of the points (x,y) where the tangent line is horizonta
vladimir1956 [14]

Answer:

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

Step-by-step explanation:

The slope of the tangent line at a point of the curve is:

m = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }

m = -\frac{\cos 2\theta}{\sin \theta}

The tangent line is horizontal when m = 0. Then:

\cos 2\theta = 0

2\theta = \cos^{-1}0

\theta = \frac{1}{2}\cdot \cos^{-1} 0

\theta = \frac{1}{2}\cdot \left(\frac{\pi}{2}+i\cdot \pi \right), for all i \in \mathbb{N}_{O}

\theta = \frac{\pi}{4} + i\cdot \frac{\pi}{2}, for all i \in \mathbb{N}_{O}

The first four solutions are:

x:   \sqrt{2}   -\sqrt{2}  -\sqrt{2}  \sqrt{2}

y:     1        -1        1     -1

The solutions listed from the smallest to the greatest are:

x:  -\sqrt{2}   -\sqrt{2}  \sqrt{2}  \sqrt{2}

y:      -1         1     -1     1

6 0
3 years ago
Six times a number is 45 greater than the the product of the number and -3. Find the number.
blagie [28]

Let us try to formulate the expressions one by one.

let the number be x.

Step 1:

six time the number is 6*x = 6x

Step 2:

product of the number and -3 is -3x

Step 3:

now let us make equation for it:

6x = -3x +45

adding 3x on the left side,

6x+3x = 45

9x = 45

dividing right side by 9

x=45/9 = 5

So the number is x=5



6 0
3 years ago
Linda sells handmade jjewelry. She sells bracelets for $27.00, and the sales tax 6.5% of the sale price. Anout how much is the s
nexus9112 [7]

Answer:

sales tax was $1.76

Step-by-step explanation:

$27 - 6.5% = 25.24

$27 - $25.24 = $1.76

3 0
2 years ago
Read 2 more answers
PLEASE HELP!! I WILL MARK BRAINLIST
marishachu [46]

Answer:

m∠5 = 44°; m∠7 = 44°

Step-by-step explanation:

Angle 4 and 1 are supplementary (they make up a line) and their sum is equal to 180 degrees.

Subtracting the measure of angle 4 from 180 degrees gives the measure of angle 1. (180 - 136 = 44).

So Angle 1's measure is 44 degrees.

According to the Corresponding Angle Postulate, Angle 1 and Angle 5 are congruent. Therefore, m∠5 = 44°

According to the Vertical Angles Postulate (if two angles are vertical, they are congruent), ∠5 ≅ ∠7, meaning that m∠5 = m∠7.

So m∠7 = 44°

6 0
2 years ago
Other questions:
  • What is the surface area?
    13·1 answer
  • I need to convert from meters to feet and i do not know how to convert.
    14·2 answers
  • NEED HELP ASAP!!!!!!!!!! SOS!!!!!!!!!!!
    15·1 answer
  • HELP PLZZZZ
    9·1 answer
  • Solve for the following system of equations using substitution, what is the value of y? 2x 3y=105 x 2y=65
    15·1 answer
  • Please help and explain:(?
    10·1 answer
  • PLEAASE HELP DUE TODAY
    10·1 answer
  • PLEASE HELP ITS DUE RIGHT NOW
    5·1 answer
  • 74% of 19 year old males are atleast 172 pounds , what percent of the males are not atleast 172 pounds?
    15·1 answer
  • Need answer ASAP AND Please
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!