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zheka24 [161]
3 years ago
9

Lin rode her bike 2 miles in 8 minutes. She rode at a constant speed. Complete in the table for A to show the time it took her t

o travel different distances at this speed.
Mathematics
1 answer:
Elis [28]3 years ago
3 0

Answer:

Idk what table your talking about but i remeber for this the answer was 4 minutes.

Step-by-step explanation:

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Sove the equation and verify
Nostrana [21]

Let's break the equation in several step to make things more clear: first of all, the numerator of the left hand side simplifies to

\dfrac{2x}{3}-\dfrac{1}{2} = \dfrac{4x-3}{6}

Similarly, the denominator becomes

\dfrac{3x}{4}-\dfrac{1}{2} = \dfrac{3x-2}{4}

Dividing by a fraction means to multiply by the inverse of that fraction:

\dfrac{\frac{a}{b}}{\frac{c}{d}} = \dfrac{a}{b}\cdot\dfrac{d}{c}

So, in your case, we have

\dfrac{\frac{2x}{3}-\frac{1}{2}}{\frac{3x}{4}-\frac{1}{2}} = \dfrac{\frac{4x-3}{6}}{\frac{3x-2}{4}} = \dfrac{4x-3}{6}\cdot \dfrac{4}{3x-2} = \dfrac{2(4x-3)}{3(3x-2)} = \dfrac{8x-6}{9x-6}

So, the equation has become

\dfrac{8x-6}{9x-6} = \dfrac{4}{3}

Multiply both sides by 3(9x-6):

3(8x-6) = 4(9x-6) \iff 24x-18 = 36x-24

Subtract 24x from both sides, and add 18 to both sides:

36x-24x = 24-18 \iff 12x=6 \iff x = \dfrac{1}{2}

8 0
3 years ago
7/8 divided by 1/16 in simplest form?
natulia [17]

Answer:

14

Step-by-step explanation:

Keep, change, flip!

7/8 / 1/16

7/8 x 1/16

7/8 x 16/1

Equals...

112/8

Which can be simplified to...

14!

Hope this helped!

5 0
3 years ago
Read 2 more answers
Mrs. Mott called two companies about getting new uniforms for the soccer team. The first company she called charges $70 per unif
Fittoniya [83]

Answer:

For less than 7 uniforms.

Step-by-step explanation:

The first company she called charges $70 per uniform.

So, the cost of x uniforms will be $70x.

The second company she called charges $280 plus $30 per uniform.

So, the cost of x uniform will be $(280 + 30x).

Now, if the total cost of purchasing x number of uniforms from the first company is less than that from the second company then, we can write the inequality equation as  

70x < 280 + 30x

⇒ 70x - 30x < 280

⇒ 40x < 280

⇒ x < 7

Therefore, for less than 7 uniforms the cost from the first company will be less than the cost from the second company. (Answer)

5 0
3 years ago
Let u = &lt;-9, 4&gt;, v = &lt;8, -5&gt;. Find u - v. <br> URGENT
Pie

To subtract vectors, you simply have to subtract correspondent coordinates.

So, if you have

u = \langle u_1,\ u_2,\ldots u_n\rangle ,\quad v = \langle v_1,\ v_2,\ldots v_n\rangle

the subtraction is simply

u-v = \langle u_1-v_1,\ u_2-v_2,\ldots u_n-v_n\rangle

So, in your case, we have

\langle-9,4\rangle-\langle 8,-5\rangle=\langle -9-8, 4+5\rangle=\langle -17,9\rangle

3 0
3 years ago
The two triangle­shaped gardens are congruent. Find all of the missing side lengths and angle measures. Show any necessary work
pantera1 [17]
The two figures are in the file attached.

Congruency means that all the respcetive sides and angles are equals.

Then, the three angles are :

y = 38°

x = 90°

w = 180° - 90° - 38° = 52


The three sides are:

z= 10yd
v= 7.9yd
u=6.2yd


You have all the measures as a function of yd, but you do not have any information about yd, then it is not possible to find the real lenghts.

All you can tell is that the sides obey Pythagoream theorem:

u^2 + v^2 = z^2   

But that is not enough to find one side, because you do not know any of them.

For example if you apply Pytagorean theorem you cand do"

(7.9yd)^2 + (6.2)^2 = (10yd)^2

but that cannot be solved for yd, because they are factors of all the terms in both sides, which mean that they cancel to obtain:

(7.9)^2 + (6.2)^2 = (10)^2, which is not any new information.

Also you can think about sine theorem, but it does not help, because you also need one side.


Then you only can tell the missing angles, as I have shown, but not the misssing lengths.


Download docx
8 0
2 years ago
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