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spin [16.1K]
3 years ago
5

1. Natasha worked at a diner for $10per hour last week and already had $42 in her bank account? She paid $206 for a prom dress.

The equations 206 = 42 + 10h represents this problem. How many hour did she work to pay for the prom dress?
2. Translate the following sentence into a mathematics equation. The sum of 10 and five time a number is the same as the difference of the number and 6
Mathematics
2 answers:
Katarina [22]3 years ago
6 0

Answer:she worked 17 hours

Step-by-step explanation: 10×17=170+42=212

Firdavs [7]3 years ago
3 0

Answer:

She worked 16.4 hours

Step-by-step explanation:

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The sum of two numbers is fourteen. One number is two less than three times the other. Find the numbers.
Margarita [4]
So, for the first variable, you would use x, and for the second, y. Then, you would write out 2-(3y)=14. once this is done, youd simplify to 2-3y=14. Subtract 2 from both sides to get 3y=12. Then, divide both sides by 3. this will leave you with y=4. From this you can see the other number is ten. Hope this helped! and i apologize if it is incorrect!
7 0
3 years ago
Two isosceles triangles share the same base. Prove that the medians to this base are collinear. (There are two cases in this pro
Anna71 [15]

Answer:

Given: Two Isosceles triangle ABC and Δ PBC having same base BC. AD is the median of Δ ABC and PD is the median of Δ PBC.

To prove: Point A,D,P are collinear.

Proof:

→Case 1.  When vertices A and P are opposite side of Base BC.

In Δ ABD and Δ ACD

AB= AC   [Given]

AD is common.

BD=DC  [median of a triangle divides the side in two equal parts]

Δ ABD ≅Δ ACD [SSS]

∠1=∠2 [CPCT].........................(1)

Similarly, Δ PBD ≅ Δ PCD [By SSS]

 ∠ 3 = ∠4 [CPCT].................(2)

But,  ∠1+∠2+ ∠ 3 + ∠4 =360° [At a point angle formed is 360°]

2 ∠2 + 2∠ 4=360° [using (1) and (2)]

∠2 + ∠ 4=180°

But ,∠2 and ∠ 4 forms a linear pair i.e Point D is common point of intersection of median AD and PD of ΔABC and ΔPBC respectively.

So, point A, D, P lies on a line.

CASE 2.

When ΔABC and ΔPBC lie on same side of Base BC.

In ΔPBD and ΔPCD

PB=PC[given]

PD is common.

BD =DC [Median of a triangle divides the side in two equal parts]

ΔPBD ≅ ΔPCD  [SSS]

∠PDB=∠PDC [CPCT]

Similarly, By proving ΔADB≅ΔADC we will get,  ∠ADB=∠ADC[CPCT]

As PD and AD are medians to same base BC of ΔPBC and ΔABC.

∴ P,A,D lie on a line i.e they are collinear.




3 0
3 years ago
This week, Ivania ran a total of 20 km, which is 6.5 km farther than she ran last week. If w represents the number of kilometers
NARA [144]

Answer:

Step-by-step explanation:

6.5 + w = 20

13.5 km

6 0
3 years ago
One safe investment pays 10% per year, and a more risky investment pays 13% per year.
jonny [76]

Answer: 9,600 for the 10% account 10,500 for the 13% why they wouldn't want to put it in the same account is because risky investment for the 13

Step-by-step explanation:

4 0
2 years ago
Which expression is equivalent to (5^4)^2<br> A. 25^8<br> B. 20^2<br> C. 5^8<br> D. 5^6
Yuliya22 [10]

Answer:

C. 5^8

to raise a power to another power, multiply the exponents

then multiply thr numbers

then u get 5^8

6 0
3 years ago
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