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4 years ago

6

Jhon can solve 6 math problems in 20 minutes while another student, Juaqine, can solve the same 6 math problems at a rate of 1 p

roblem per 4 minutes. Who is faster?

1 answer:

ASHA 777 [7]4 years ago

3 0

Answer:

Jhon

Step-by-step explanation:

At the rate of 4 minutes per problem, it take Juaqine ...

(4 min/prob)×(6 prob) = 24 min

to solve the problems.

That is more time than it takes Jhon, so Jhon is faster.

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Answer:

10

Step-by-step explanation:

How many coupons did we each earn just for arriving at Castel Saint'Angelo? This represents the initial value in this situation.

If you look at the graph, before we went to any monuments (when monuments=0), we already had 10 coupons. Thus, the initial value is 10 coupons.

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3 years ago

Which point on the coordinate plane is closest to ______ ?

Vinvika [58]

Answer:

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3 years ago

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Examine the intersection of these lines:

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Answer:

∠B and ∠F
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Step-by-step explanation:

∠C and ∠F are vertical angles, so are congruent. Then any angle complementary to one of those will also be complementary to the other.

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3 years ago

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What is product of 5.2 · 10^6 and 1.4 · 10^3

Andrei [34K]

Answer:

7280000000 or 7.28^9 (in scientific notation)

Step-by-step explanation:

this question is asking you to transfer numbers out of scientific notation and multiply them. 10^6 is 1 followed by 6 zeros (good trick to remember) or 1000000. when you multiply anything by a power of 10 you just add that many zeroes to it or move the decimal point one point to the left for every zero. so in this example it is 5.2 times 1000000 which is 5200000. we do the same for the other one and we get 1400. When we multiply these two values we get 7280000000 or 7.28^9

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3 years ago

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of

weqwewe [10]

Complete Question:

The deck that Amos is building is in the shape of a parallelogram, DGRY. The measure of D is five-halves the measure of Y. Find the measure of each angle of the deck.

Answer:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \angle R = 128.57 ^{\circ}$

Step-by-step explanation:

Given

Shape: Parallelogram DGRY

Dimension: $\angle D = \frac{5}{2}\angle Y$

Required

Find the measure of each angle

D and R are opposite sides & G and Y are also opposite sides.

So, we have:

$\angle D = \angle R = \frac{5}{2}\angle Y$

and

$\angle G = \angle Y$

The sum of angles is given as:

$\angle D + \angle G + \angle R + \angle Y=360^{\circ}$

Substitute values for $\angle D, \angle G \ \& \angle R$

$\frac{5}{2}\angle Y + \frac{5}{2}\angle Y + \angle Y + \angle Y = 360^{\circ}$

Take LCM

$\frac{5\angle Y + 5\angle Y + 2\angle Y+ 2\angle Y}{2}= 360^{\circ}$

$\frac{14\angle Y}{2}= 360^{\circ}$

Multiply both sides by $\frac{2}{14}$

$\frac{2}{14} * \frac{14\angle Y}{2}= 360^{\circ} * \frac{2}{14}$

$\angle Y= 360^{\circ} * \frac{2}{14}$

$\angle Y= \frac{ 360^{\circ} *2}{14}$

$\angle Y= \frac{720^{\circ}}{14}$

$\angle Y= 51.43 ^{\circ}$

So:

$\angle G = \angle Y = 51.43 ^{\circ}$

$\angle D = \frac{5}{2}\angle Y$

$\angle D = \frac{5}{2} * 51.43^{\circ}$

$\angle D = \frac{5* 51.43^{\circ}}{2}$

$\angle D = \frac{257.15^{\circ}}{2}$

$\angle D = 128.57 ^{\circ}$

Hence:

$\angle D = \angle R = 128.57 ^{\circ}$

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3 years ago