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quester [9]
3 years ago
6

The total cost of Anja’s trip to the dentist was $628.35. She paid a flat fee of $89.95 which included the checkup and cleaning

and then had 4 cavities filled, each of which cost the same amount. Which shows the correct equation and value of x, the cost of each cavity filling?
Mathematics
2 answers:
Anna11 [10]3 years ago
8 0
4x + 89.95 = 628.35 <== ur equation
4x = 628.35 - 89.95
4x = 538.40
x = 538.40 / 4
x = 134.60 <== the cost for each cavity filling
OLga [1]3 years ago
3 0
628.35=total&#10;&#10;89.95=f.fee&#10;&#10;628.35-89.95=538.4&#10;&#10;538.4/4=134.6&#10;&#10;Therefore, each cavity would cost 134.60&#10;
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Write the following equation in slope-intercept form.<br> 3x - 2y=5
prisoha [69]

Answer:

y = 3/2x -5/2

Step-by-step explanation:

Slope intercept form is

y = mx+b  where m is the slope and b is the y intercept

3x- 2y = 5

Solve for y

Subtract 3x from each side

3x -3x- 2y =-3x+ 5

-2y = -3x+5

Divide by -2

-2y/-2 = -3x/-2 +5/-2

y = 3/2x -5/2

3 0
3 years ago
The ratio of Dina’s bathing suits to Yana’s bathing suits was 4:1. if Dina has 24 more bathing suits than Yana, how many bathing
lina2011 [118]

Answer:  Yana has 8 bathing suits.

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We are to find the number of bathing suits that Yana has.

Let 4x and x represents the number of bathing suits that Dina and Yana have respectively.

Then, according to the given information, we have

4x-x=24\\\\\Rightarrow 3x=24\\\\\Rightarrow x=\dfrac{24}{3}\\\\\Rightarrow x=8.

Therefore, the number of bathing suits that Yana has is given by

x=8.

Thus, Yana has 8 bathing suits.

5 0
3 years ago
You use a garden hose to fill a wading pool. If the water level rises 16 centimeters every 7 minutes
Sergeeva-Olga [200]
Rise=16, run=7. Slope is rise/run, and therefore is 16/7. The run is considered to be the x coordinate. Since the x coordinate on the point is 21, we know it has moved 3 exact points away from the origin (21/7=3). We can use this movement of 3 exact points to determine the y coordinate as well. Since the rise (y) is 16 for every exact point on a graph, we know the graph has risen 48 units (16x3=48). So, the point ends up being (21,48). The rate of change is 16cm per 7 minutes, or 2.28cm/minute. The equation is Y=(16/7)X (no y intercept because the graph starts at the origin). The equation gives you the y value of 48 when x is equal to 21.
3 0
2 years ago
An estate of $686,000 is left to three siblings. The eldest receives 2 times as much as the youngest. The middle sibling receive
gregori [183]

Answer:

The oldest gets -> $335,500

The middle gets -> $182,750

The youngest gets -> $167,750

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

<em>686,000 = 2y + (15,000 + y) + y</em>

<u>Step 2:  Solve for y</u>

686,000 - 15,000 = 2y + 15,000 + y + y - 15,000

671000 / 4 = 4y / 4

<em>167,750 = y</em>

<u>Step 3:  Figure the amount of money the middle sibling gets</u>

m = y + 15,000

m = 167,750 + 15,000

<em>m = 182,750</em>

<u>Step 4:  Figure the amount of money the oldest sibling gets</u>

o = 2y

o = 2(167,750)

<em>o = 335,500</em>

Answer:  The oldest gets -> $335,500

                The middle gets -> $182,750

                The youngest gets -> $167,750

3 0
3 years ago
Read 2 more answers
Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(4, 5) sin = (4√41)/41 (5√41)/41 4/5 5/4 what is
Viefleur [7K]
Ok <span>One side would have a length of 4, another side would have a length of 5, and then we can use the Pythagorean Theorem to find the length of the hypotenuse. a^2 + b^2 = c^2 </span>

<span>a=4; b=5; </span>

<span>4^2 + 5^2 = c^2 </span>
<span>16 + 25 = c^2 </span>
<span>41 = c^2 </span>
<span>c = √41 </span>

<span>Therefore, the hypotenuse has a length of √41. </span>

<span>To find the sinθ, you take the opposite over the hypotenuse. </span>

<span>Remember when you drew out the triangle? θ is the angle connected to the origin. The opposite side is b, which is 5. </span>

<span>Your answer is 5/√41. </span>

<span>This answer must be simplified since there is a radical in the denominator. To simplify, you can just multiply the numerator and the denominator by √41/√41 (since this is equivalent to 1). </span>

<span>This gives you the answer

</span>
6 0
3 years ago
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