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Natali [406]
3 years ago
10

Find ST if S is between R and T, SR = 2x + 7, ST = x - 6, and RT = 100

Mathematics
1 answer:
pav-90 [236]3 years ago
7 0
Since SR+ST adds up to RT, we have 2x+7+x-6=100=3x+1. 
Subtracting 1 from both sides, we get 3x=99

Dividing both sides by 3, we have x=33
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John held a garage sale. He priced all the items at a dime or a quarter. His sales totaled
Nikitich [7]

John held a garage sale. He priced all the items at a dime or a quarter, his sales totaled less than $5, the solution is shaded region in quadrant I.

<h3>What is a slope?</h3>

In mathematics, line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. The letter m is frequently used to represent the slope; reason for this usage is unclear, but it can be found in O'Brien's (1844) and Todhunter's (1888) formulations of equation for a straight line as "y = mx + b" and "y = mx + c," respectively.

He priced all items at a dime or a quarter. His sales totaled less than $5

Since dime =$ 0.10=$0.10 and the quarter =$0.25=$0.25

Let x=x= the number of the items sold for a dime

Let y=y= the number of the items sold for a quarter

0.10x+0.25y<5

0.10x+0.25y<5

Inequality in the slope-intercept form

0.10x+0.25y Subtract 0.10x from both sides

0.25y<-0.10x+5 Divide both sides by 0.25

Subtract 0.10x from both sides

y= -\frac{2}{5}x+20\\

The slope is, -\frac{2}{5} and the y- intercept is 20

Since inequality sign is << so, draw a dashed line

Test point (0,0)(0,0)

Substituting the values 0 for x and 0 for y,

y < -\frac{2}{5}x+20\\\\0 < -\frac{2}{5}(0)+20\\\\0 < +20

Since inequality is true

So, (0,0)(0,0) is solution of the inequality

Shade region containing (0,0)(0,0).

The graph below shows all possible solutions

Since boundary line is dashed and the number of items is always positive

The solution is shaded region in quadrant I

To know more about quadrant visit: brainly.com/question/7196312

#SPJ9

4 0
1 year ago
Is (4,-5), (0,-5), (11,30), (17,10) a function
Ratling [72]

Answer:

Yes, it is a function

Step-by-step explanation:

A function is a set of ordered pairs where there is no two of the same domain. The domain is the first coordinate which is x. In this case, the x coordinates are 4, 0, 11, 17. There is no two of the same domain so this is a function.

Hope This Helps :)

4 0
3 years ago
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
artcher [175]

Answer:

17 kilometers

Step-by-step explanation:

The pythagorean theorm is a^2 + b^2 = c^2

In this problem we can call 8 km a and 15 km b.

Plug 8 and 15 into the pythagorean theorm to get 8^2 + 15^2 = c^2

This will give you 289=c^2

Take the square root of both sides to get c=17

Hope this helps!

6 0
2 years ago
Read 2 more answers
One of the angles is 26°. The second angle is complementary to the first angle. What is the measure of the third angle?
lubasha [3.4K]
2nd is 64 3rd is 90 all 3 = 180
6 0
3 years ago
how many pounds of rock will you need to fill an area 25 ft by 35 ft to a depth of 2 in. If the rock weighs 1050 lb cubic yard?
Eduardwww [97]

The volume of the area is Length x width x height:

25 x 35 x 2/12 = 145.83 cubic feet.

1 cubic foot = 0.037 cubic yards:

145.83 x 0.037 = 5.40 cubic yards.

5.4 cubic yards x 1050 lbs/ cubic yard = 5,665.6 pounds.

Note:

Rounding and conversion may change the answer slightly, but I believe I rounded everything as it should be.

6 0
3 years ago
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