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ZanzabumX [31]
2 years ago
13

You have diving lessons every fifth day and swimming lessons every third day. Today you have both lessons. In how many days will

you have both lessons on the same day again?
Mathematics
1 answer:
skelet666 [1.2K]2 years ago
5 0
You will have it in 15 days. Both 5 and 3 have a least common multiple of 15.
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Rex walks 3 1/7 km in 1 1/4 hours. At the same speed , how long will he go in one hour? Simplify your answer and write it as a p
Llana [10]
She walks 22/7 km in 5/4 hrs, so she walks (22/7)/(5/4) km, or 88/35 (2_18/35) km, in 1 hr.
7 0
2 years ago
Roberto wants to buy a $40 gift for his father. He finished one odd job in 4 hours at $3.75 an hour. He is now working at a job
Nikitich [7]

Step-by-step explanation:

amount left for the money to reach $40

=40-3.75

=36.25

using a method of proportion,

If $4 : 1 hour,then

$36.25 : ?

if more, less divides.

= 36.25 / 4 ×1

=36.25/4

=9.0625 approximately 9 hours

4 0
2 years ago
For ΔABC, ∠A = 4x - 10, ∠B = 5x + 10, and ∠C = 7x + 20. If ΔABC undergoes a dilation by a scale factor of 1 3 to create ΔA'B'C'
VLD [36.1K]
We know that the angles of a triangle sum to 180°.  For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180

Combining like terms,
16x+20=180

Subtracting 20 from both sides:
16x=160

Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.

For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180

Combining like terms, 
20x-20=180

Adding 20 to both sides:
20x=200

Dividing both sides by 20:
x=10

This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.

Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
5 0
2 years ago
Read 2 more answers
Chris and Becky are comparing mortgages. The mortgage is for $183,500. If they choose 30 years at 5%, their monthly payment will
soldi70 [24.7K]

Answer:

For 30 years at 5% = $354,625.2

For 20 years at 4.5% = $278,618.4

Step-by-step explanation:

The total payback for each payment is given by the monthly payment multiplied by the total number of months for the payment period (years).

1) For 30 years at 5%

Total number of months in 30 years = 30 x 12 = 360 months

Payback = $985.07 x 360 = $354,625.2

2) For 20 years at 4.5%

Total number of months in 20 years = 20 x 12 = 240 months

Payback = $1160.91 x 240 = $278,618.4

5 0
2 years ago
Read 2 more answers
What is the area of parallelogram RSTU? 21 square units 24 square units 28 square units 32 square units
Debora [2.8K]

Answer: 21 square units

Step-by-step explanation:

We know that the area of parallelogram is given by:-

A=height\times base

Let US denote the height of the Parallelogram RSTU with corresponding base ST.

By counting the distance between the points using grids or by distance formula,

US=|4-(-3)|=|7|=7\ units

ST=|-1-(-4)|=|-1+4|=|3|=3\ units

Now, the area of parallelogram RSTU is given by:-

A=7\times3=21\ \text{square units}

7 0
2 years ago
Read 2 more answers
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