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butalik [34]
3 years ago
5

The sum of two numbers is 84. One of the numbers is 12 more than the other number. What are the two numbers?

Mathematics
2 answers:
blsea [12.9K]3 years ago
6 0
The two numbers are 36 and 48.
stich3 [128]3 years ago
6 0

Answer:

Step-by-step explanation:

Let x+y = 84

a) X=y+12

b) x+y=84

y+12+y=84

2y=84 -12

2y=72

y=36

c) x=y+12

x=36+12

x=48

Therefore the two numbers are 36 and 48.

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In supply (and demand) problems, y is the number of items the supplier will produce (or the public will buy) if the price of the
SSSSS [86.1K]

Answer:

A) (17 ; 550)

B) $17/item

C) 550

Step-by-step explanation:

First we must calculate the intersection point of the two lines. Since in that point <em>y</em> has the same value in both equations, we can obtain <em>x </em>by equalling the two equations and then using that value for obtaining <em>y</em>:

5x+465=-6x+652\\5x+6x=652-465\\11x=187\\x=\frac{187}{11}\\x=17

So the value of <em>x</em> in the intersection point is 17. We now use this value with either one of the equations to obtain <em>y</em><em>. </em>Let's use the supply equation:

y=5*17+465\\y=550

So the intersection point is (17 ; 550)

Supply and demand are in equilibrium when the amount of items on supply are the same as the ones on demand. That is the point were the two lines intersect, which means the selling price is the <em>x</em> coordinate and the amount of items is the <em>y</em> coordinate, so that is a selling price of <em>$17/item</em> with a number of items of <em>550</em>.

3 0
3 years ago
In a right triangle, the tangent of an angle is equal to the length of the leg opposite the angle divided by the length of the l
timurjin [86]

If you recall soh-cah-toa, tangent is equal to the opposite length divided by the adjacent length so it is true.

4 0
3 years ago
A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%, how many dollars is the sale price of t
RUDIKE [14]

If there is 15% off and the sales tax rate is 8.25%. Then the price of the car will be $ 8,189.11.

<h3>What is the percentage?</h3>

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

A car originally priced at $8,900 is on sale at 15% off. If the sales tax rate is 8.25%.

The cost after 15% off will be

→ 0.85 × $8,900

→ $ 7,565

Then the final cost after the sale tax of 8.25% will be

Cost = $ 7,565 × 1.0825

Cost = $ 8,189.11

More about the percentage link is given below.

brainly.com/question/8011401

#SPJ1

6 0
2 years ago
A line passes through the point (-10, -7) and has a slope of 1/2
mart [117]
Y=1/2x-3 or whatever the y intercept is idk
5 0
4 years ago
What is the approximate volume of the model of planet earth? The radius is 3ft and use 3.14 to approximate pi. Round to the near
NikAS [45]
<h3>Answer: 113.04 cubic feet</h3>

===========================================

Work Shown:

The formula to use to find the volume of a sphere is

V = (4/3)*pi*r^3

In this case, r = 3 is the radius. We'll use the approximation pi = 3.14

This means,

V = (4/3)*pi*r^3

V = (4/3)*3.14*3^3 .... plug in r = 3; pi = 3.14

V = 113.04 ..................use your calculator

The units are in cubic feet. Think of a 1 ft by 1 ft by 1 ft cube block. A sphere can be sub-divided into smaller cubes to get an approximation.

5 0
3 years ago
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