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Black_prince [1.1K]
3 years ago
9

Write an equation to represent each situation. Then solve the equation.

Mathematics
2 answers:
algol133 years ago
7 0
189=10x+99
x=amount of weeks
x=9 weeks
weeeeeb [17]3 years ago
5 0
It would take christian 9 weeks to save the rest of the money.

189-99 =90 (take away the money he has saved already from the goal to see how much money he needs.

90 ÷ 10 = 9
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After lunch, you see the bumper cars and want to ride them. Here’s what the sign says:
NemiM [27]

Answer:

The option of 6 minutes with 8 tickets given more time for the money.

Step-by-step explanation:

Which one gives you more time for your money?

We have to find the time per ticket, which is the number of minutes divided by the number of tickets.

6 minutes: 8 tickets

6/8 = 0.(60/8) = 0.75 minutes per ticket.

8 minutes:12 tickets

8/12 = 2/3 = 0.(20/3) = 0.667 minutes per ticket.

So the option of 6 minutes with 8 tickets given more time for the money.

7 0
2 years ago
AD=<br> DC=<br> Angle a=<br> Angle b=<br> Angle c=
Nadya [2.5K]

9514 1404 393

Answer:

  AD= 8

  DC= 15

  Angle a= 112°

  Angle b= 68°

  Angle c= 112°

Step-by-step explanation:

We have to assume the figure is a parallelogram.

Opposite sides of a parallelogram are congruent, so ...

  BC = AD = 8

  AB = DC = 15

Opposite angles are congruent, and adjacent angles are supplementary.

  180° - ∠D = Angle a = Angle c = 112°

  ∠D = Angle b = 68°

4 0
2 years ago
There are 180 calories per 26 grams of a certain cereal. Find how many calories are in 65 grams of this cereal.
den301095 [7]

Answer:

450=65g

Step-by-step explanation:

8 0
2 years ago
What are the coordinates of the orthocenter of △JKL with vertices at J(−4, −1) , K(−4, 8) , and L(2, 8) ?
Sati [7]

<u>Answer-</u>

<em>The coordinates of the orthocenter of △JKL is (-4, 8)</em>

<u>Solution-</u>

The orthocenter is the point where all three altitudes of the triangle intersect. An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

For a right angle triangle, the vertex at the right angle is the orthocentre of the triangle.

Here we are given the three vertices of the triangle are  J(-4,-1), K(-4,8) and L(2,8)

If the triangle JKL satisfies Pythagoras Theorem, then triangle JKL will be a right angle triangle.

Applying distance formula we get,

JK^2= (-4+4)^2+ (8+1)^2=0+81=81\\\\KL^2= (-4-2)^2+ (8-8)^2=36+0=36\\\\JL^2= (-4-2)^2+(8+1)^2=36+81=117

As,

\Rightarrow 117=81+36

\Rightarrow JL^2=JK^2+KL^2

\Rightarrow \text{JKL is a right angle triangle}

\Rightarrow \angle K=90^{\circ}

Therefore, the vertex at K (-4, 8) is the orthocentre.

3 0
2 years ago
How does finding the square root of a number compare to finding the cube root of a number? Use the number 64 in your explanation
dimulka [17.4K]

Answer:

To find the cube root of a number is a bit more complicated and in our days is considered impractical, but here is a method explained. Look at the 2nd example scrolling down about 1/3 of the page

If you want to know the concept of square roots and cube roots ?

the square root of a number is that number which when multiplied by itself two times gives us that number

e.g.

√64 = x , so that (x)(x) = 64

and from our multiplication table we know that

(8)(8) = 64 , so that

√64 = 8

the cube root of a number is that number which when multiplied by itself three times gives us that number

e.g.

∛64 = x , so that (x)(x)(x) = 64 , and thus x = 4 because 4x4x4 = 64

so ∛64 = 4

for 9 I wrote Any decimal which terminates is rational

any decimal which has a repeat is rational

any decimal which does not show any repeating decimals and which is never-ending is irrational

Step-by-step explanation:

6 0
3 years ago
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