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ivanzaharov [21]
3 years ago
9

Between the two of them, they teach 35 yoga classes each week. if erica teaches 13 fewer than twice as many as bo, how many clas

ses does each instructor teach per week?
Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0
Assume x are Erica's classes & y are Bo's classes.
x+y=35
x=2y-13
Replacing the value of x into the first equation
2y-13+y=35
3y=35+13
y=16 classes
x=2*16-13=19 classes
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Triangle FGH is similar to triangle DEF. solve for p
malfutka [58]

Answer:

We get value p=16

Step-by-step explanation:

When triangles are similar, the ratio of corresponding sides is equal.

In the given triangles we have to find value of p

We have the ratio: (Can use ratio of any two sides)

\frac{HF}{PD} =\frac{GF}{ED}

Now, putting values and finding p

\frac{12}{p}=\frac{24}{32}\\Cross\:Multiply\\12\times 32 = 24 p\\p=\frac{384}{24}\\p= 16

So, we get value p=16

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3 years ago
Which number has the least value?
Vlad1618 [11]

Answer:

Your annswer is b

Step-by-step explanation: because it is least than all of the others

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3 years ago
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Two points A and B on a plan represent two localities 12 m apart. Given that the segment AB is 6cn long, find the scale used to
natka813 [3]

Answer:

The scale is 1:200

Step-by-step explanation:

On the plan we have the drawing as 6 cm

In real representation, we have the distance as 12 m

Firstly we have to convert to same unit

In this case, we use the cm for convenience

Mathematically, 100 cm is 1 m

Thus, 12 m

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So, we have the ratio as;

6 cm : 1,200 cm

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7 0
3 years ago
The width of a rectangle is the length minus 3 units.The area of the rectangle is 10 units. What is the width, in units, of the
labwork [276]

Answer:

2 units

Step-by-step explanation:

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5 0
2 years ago
Hayley has $155 in savings, and her brother Hank has $230. Hayley is saving $10 each week, and her brother is spending $15 each
Sindrei [870]

Answer:

After 3 weeks they both will have the same amount in their savings account.

Step-by-step explanation:

Given:

Amount saved by Haley = $155

Amount saved by Hank = $230

Amount saving each week by Haley = $10

Amount spending each week by Hank = $15

We need to find Number of weeks when both both will have same amount in savings account.

Solution:

Let Number of week be 'x'.

Total Amount of Haley can be calculated by Amount saved by Haley plus Amount saving each week by Haley multiplied by number of weeks.

framing in equation form we get;

Total Amount of Haley = 155+10x

Also;

Total Amount of Hank can be calculated by Amount saved by Hank minus Amount spending each week by Hank multiplied by number of weeks.

framing in equation form we get;

Total Amount of Hank = 230-15x

Now we need to find the number of weeks when both will have same amount.

To find the same we will have to make both the equation equal.

So we can say.

155+10x=230-15x

On Solving above equation we get;

We will combine the like terms together;

10x+15x =230-155\\\\25x = 75

Now Dividing both side by 25 using Division property of equality we get;

\frac{25x}{25} = \frac{75}{25}\\\\x=3 \ weeks

Hence, After 3 weeks they both will have the same amount in their savings account.

4 0
2 years ago
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