MATHEMATICS HIGH SCHOOL

MNOP is similar to QRST with a scale factor of 5 : 4. MP = 85mm. What is the value of QT?

Answers

Answer 1
Answer: MNOP is similar to QRST with ratio of 5:4. That means the MP:QT ratio would also be 5:4

The length of QT would be
MP/QT = 5/4
85mm/QT=5/4
85mm*4= 5*QT
5QT= 340
QT=68mm

Related Questions

MIDDLE SCHOOL

Which of the following is the solution to 4|x+2|>16

Answers

Answer:

x < - 6 or x > 6

Step-by-step explanation:

Inequalities of the type | x | > a, always have solutions in the form

x < - a or x > a

given 4| x + 2 | > 16 ( divide both sides by 4 )

| x + 2 | > 4 ← in the above form, hence

x + 2 < - 4 or x + 2 > 4 ( subtract 2 from both sides of both inequalities )

x < - 6 or x > 6 ← solution


MIDDLE SCHOOL

3 similar shirts and 4 similar jackets cost $360. 1 such shirt and 3 such jackets cost $220. Find the costof each shirt.

Answers

3s + 4j = 360
1s + 3j = 220

This one we can solve using substitution, in that
s + 3j = 220 implies s = 220 - 3j (subtract 3j from each side).

Now substitute into the first equation:

3(220 - 3j) + 4j = 360.  Solve for jackets.
660 - 9j + 4j = 360  [Distributive property]
660 - 5j = 360 [Add -9j + 4j]
Subtract 360 from each side, and add 5j to each side.
660 - 360 - 5j + 5j = 360 - 360 + 5j
300 = 5j
Divide each side by 5.
$60 = price of a jacket.

Three of these plus a shirt runs $220.
3(60) = 180
180 + s = 220
180 - 180 + s = 220 - 180 [Subtract 180 from each side]
s =   40

Now we double check.
3(40) + 4 (60) = 120 + 240 = 360.  This satisfies the first equation.
We could check the second one too, but I'm satisfied.
HIGH SCHOOL

Which point is an x-intercept Og the quadratic function f(x) = (x-4)(x+2)?

Answers

Hi there!

To find the x-intercept of the function we need to calculate f(x) = 0.



Rule AB = 0, gives A = 0 or B = 0.


Add 4 to both sides or subtract 2 from both sides.


Hence, the solutions are:
(4, 0) & (-2, 0)
MIDDLE SCHOOL

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q?

Answers

Answer:

B q=7/5

Step-by-step explanation:

Well Q=s/r and they said a Radius of 5 Which puts 5 at the bottom.

Then an arc length of 7 Which =S. so q=7/5

To work out the central angle, you just re-arrange the equation for the length of an arc:

Equation for length of an arc:

× × π =

We can arrange this to work out the central angle, q.  But first, lets substitute in all of the values that we know:

angle = q

diameter = 5 x 2 = 10 ft

length of arc = 7

[Substitute in]

× π =       (Now just rearrange for q)

=     (multiply both sides by 360 to get q)

= ×  (now just simplify)

=

   =   (rounded to 3 decimal places)

______________________________

Therefore:

The equation that gives you ange q is:

= ×

and q = 80.214  when all of the values are substituted in.

MIDDLE SCHOOL

It takes Harrison 1 1/2 hours to finish his history project it takes Miles 3 2/3 hours to finish his science project. How many times as long does it take Miles to finish his science project then it takes Harrison to finish his history project

Answers

Answer:  The answer is

Step-by-step explanation:  Given in the question that

Time taken by Harrison to finish his history project is given by

and the time taken by Kiles to finish his science project is

Let the time taken by Miles to finish his science project be 'p' times that of the time taken by Harrison to finish his history project.

Therefore,

Thus, Miles take times more time than Harrison.


COLLEGE

The discount points are 3% which represents $2,700. The buyer down payment is 20%. What is the purchase price of the property? (Please show all steps)

Answers

Answer: The purchase price of the property is $112,500.

Step-by-step explanation:

Let the original value of property be 'x'.

Discount rate = 3%

Amount of discount = $2700

According to question, it becomes,

Rate of down payment = 20%

So, Remaining rate of payment = 100-20 = 80%

So, Purchase price of the property would be

Hence, the purchase price of the property is $112,500.

MIDDLE SCHOOL

How do you write 485,830 in word form?

Answers

485,830 is written as . . .

four hundred eighty-five thousand, eight hundred thirty
MIDDLE SCHOOL

Four friends went on vacation with their family over the summer. Harlin’s family drove 363 miles in 6 hours, Kevin went 435 miles in 7 hours, Shanna drove 500 miles in 8 hours, Hector drove 215 miles in 5 hours. Which family drove the fastest?

Answers

Answer:

Shanna's family

Step-by-step explanation:

d/t = r (distance/time = rate)

Harlin: 363/6 = 60.5 mph

Kevin: 435/7 = 62.14 mph

Shanna: 500/8 = 62.5 mph

Hector: 215/5 = 43 mph

MIDDLE SCHOOL

Identify the equation of a line parallel to y=3x-6 and passes through (3,5) in slope intercept form

Answers

Answer:

y = 3x - 4

Step-by-step explanation:

slope is 3

y -5 = 3 (x - 3)

y - 5 = 3x - 9

y = 3x - 4

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