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3 years ago

Help hurry plz. !!!!!!!!!!!!!!!

Mathematics

2 answers:

Kobotan [32]3 years ago

6 0

2 I think .................

Oduvanchick [21]3 years ago

3 0

Answer:

after 6 hours

Step-by-step explanation:

Since no method is specified, we write a table.

After n hours distance car 1 distance car 2

0 0 0

1 40 miles 0

2 80 miles 0

3 120 miles 0

4 160 miles 60 miles

5 200 miles 120 miles

6 240 miles 180 miles

7 280 miles 240 miles

8 320 miles 300 miles

9 360 miles 360 miles

The second car leaves at hour 3 and catches up to the first car at hour 9.

9 - 3 = 6.

Answer: after 6 hours

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A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

Thus the daily expense in dollars can be given by = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

Tour duration now = $(x+4)$ days

On extension, his daily expense is cut by $3

New daily expense in dollars = $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

$(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))$

$360-3x+\frac{1440}{x}-12$

$348-3x+\frac{1440}{x}$

We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

Subtracting $348x$ both sides

$348x-348x-3x^2+1440=360x-348x$

$-3x^2+1440=12x$

Dividing each term with -3.

$\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}$

$x^2-480=-4x$

Adding $4x$ both sides.

$x^2+4x-480=-4x+4x$

$x^2+4x-480=0$

Solving using quadratic formula.

For a quadratic equation: $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plugging in values from the equation we got.

$x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}$

$x=\frac{-4\pm\sqrt{16+1920}}{2}$

$x=\frac{-4\pm\sqrt{1936}}{2}$

$x=\frac{-4\pm44}{2}$

So, we have

$x=\frac{-4+44}{2}$ and $x=\frac{-4-44}{2}$

$x=\frac{40}{2}$ and $x=\frac{-48}{2}$

∴ $x=20$ and $x=-24$

Since number of days cannot be negative, so we take $x=20$ as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0

3 years ago

Is a 4(2x-3)<8(x+1) always ,sometime,or never true?

Taya2010 [7]

Answer:

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

−

Step 2: Subtract 8x from both sides.

−

Step 3: Add 12 to both sides.

−

7 0

3 years ago

Read 2 more answers

I need help please im only in the 7th grade &’ i don’t know what to do !

dedylja [7]

Answer: In the chart, put 6 in place of the question mark.

The equation should be something like w = 2/3 p

W is the number of quarts of water. P is the number of quarts of Pineapple juice.

This week they will need 3 times the previous week so 18 quarts of pineapple juice and 12 quarts of sparkling water.

Step-by-step explanation:

If the basic recipe is 2 water to 3 juice, and they used 4 quarts if water, you can see that is double the amount of water so you need double the amount of juice. 2 times 3 is 6.

Unit rate means for ONE quart of juice, how much sparkling water is used. that should be 1 Pineapple Juice for 2/3 Sparkling water

for EACH quart of sparkling water, how much juice do you need.

that would be 1 unit of Sparkling Water for 1 1/2 units of Pineapple Juice

4 0

2 years ago

What's The Answer??????????????????

Yuri [45]

$f(x) = \dfrac{x}{2} - 2$

$g(x) = 2x^2 + x - 3$

$(f + g)(x) = \dfrac{x}{2} - 2+ 2x^2 + x - 3$

$(f + g)(x) = 2x^2 + \dfrac{3}{2}x - 5$

7 0

3 years ago

How many days would it take for a tiger to eat a boar

marta [7]

How many days would it take for a tiger to eat a boar?

Answer: Tigers belong to the taxonomic order Carnivora, which mean that their diet is composed mainly of meat. Like all animals, they are heterotrophic organisms, so they must meet their nutritional requirements from other living beings.

They look for both medium and large prey in the wild to feed on them. The animals they consume change according to the area where they live, as different species will be available in each region. They have no problem taking down animals larger than themselves including water buffaloes and bears.

These cats are powerful and efficient predators with an anatomy designed for hunting. They have two large canine teeth and other sharp-edged teeth to cut the skin, flesh, and bones of prey. These functional dental pieces are the last upper premolar and the lower first molar.

Like any carnivore, its clavicles are reduced or absent, while the scaphoid, central and lunar bones of the wrist fuse with the lunar-scapular bone. As Tigers digest meat quickly, they have a simple stomach and a short intestine.

Tiger feeding.
Young Moose, a common prey of the Siberian tiger.
The Panthera tigris diet includes a large diversity of animals that are typically medium to large usually weighing more than 200 pounds, and even dare to attack other predators and animals of considerably larger size than theirs. Small animals make up a tiny part of their usual diet.

Tigers can stay up to two weeks without food, but when they catch prey, they can eat 75 pounds of meat at once.

5 0

2 years ago