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zzz [600]
2 years ago
9

Select the correct answer.

Mathematics
1 answer:
Troyanec [42]2 years ago
3 0
You need to put a photo of the shapes.
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Tom and Jimmy plan to leave at the same time from home and
raketka [301]

To find the distance between the homes of Tom and Jimmy, it is assumed

that the distances from their home to the café are equal.

  • The distance between Tom and Jimmy's home is \underline{1,617.\overline 7 \ meters}<u />

Reasons:

The direction in which Tom and Jimmy walks = Towards each other

The speed at which Tom walks = 52 meters per minute

The speed with which Jimmy walks = 70 meters per minute

The time at which Tom leaves = 4 minutes earlier than Jimmy

The point at which they meet = The café

The rate of their speed = Constant

Required:

The distance between Tom and Jimmy home.

Solution:

Tom and Jimmy had a plan to walk at the same speed and meet up at the café.

We have;

The café is equal distance from Tom and Jimmy's houses.

Which gives the following simultaneous equation.

52 × (4 + t) = The distance of Tom's house from the café

70 × t = The distance of Jimmy's  house from the café

  • 52 × (4 + t) = 70 × t

52 × 4 = 70 × t - 52 × t = 18 × t

\displaystyle t = \frac{52 \times 4}{18}  = \frac{104}{9} = 11.\overline{6}

The time it take Jimmy to reach the café, <em>t</em> = \mathbf{11.\overline6} minutes

The distance between their homes, d = 52 × (4 + t) + 70 × t

∴ d = 52 × (4 + 11.\overline6) + 70 × 11.\overline6 = 1,617.\mathbf{\overline 7}

  • The distance between Tom and Jimmy's home = 1,617.\overline 7 meters

Learn more about simultaneous equations here:

brainly.com/question/12413726

6 0
2 years ago
In the diagram, g ∥ h, m∠1 = (4x + 36)°, and m∠2 = (3x – 3)°. What is the measure of ∠3? 21° 60° 120° 159°
cricket20 [7]
M<2 = m<3
but
m<1 + m<2 = 180
4x + 36 + <span>3x – 3 = 180
7x + 33 = 180
7x = 147
x = 21

m<2 = </span><span>3x – 3
m<2 = 3(21) - 3
m<2 = 63 - 3
m< 2 = 60

m<3 = m<2 = 60

answer
</span><span>60°</span>
4 0
3 years ago
In the number 7,777.777, how does the 7 in the hundreds place compare to the 7 in the place to its left?
Ivahew [28]
B is your answer!
hgfgjdhsghdfg
6 0
2 years ago
Answer 4. Pls pls ASAP ASAP pls ASAP please ASAp
vlabodo [156]

Answer:

56 in2

Step-by-step explanation:

14x8x1/2 (1/2 because a trapezoid formula divides by 2)

112x1/2

=56

8 0
2 years ago
If 50% is 10 what is 25%​
kaheart [24]

Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.

This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.

What is 22% of 46?

Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.

Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.

So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].

0.46 × 22 = 10.12

Answer: 22% of 46 is 10.12.

Hope this helped :)

8 0
2 years ago
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