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N76 [4]
3 years ago
5

For one Algebra test, Mary had to answer 15 questions. Of these questions, Mary answered 20% of them correctly. How many questio

ns did Mary correctly answer on her test? Round your answer to the nearest whole number if necessary.
Mathematics
1 answer:
Lyrx [107]3 years ago
5 0

Answer:

Mary correctly answered <u>3</u> questions on her test.

Step-by-step explanation:

Given:

For one Algebra test, Mary had to answer 15 questions.

Mary answered 20% of them correctly.

Now, to find the questions Mary correctly answered on her test.

Total number of questions for algebra test Mary had to answer = 15.

Mary answered correctly = 20%.

Now, to get the number of questions Mary answered correctly:

20\%\ of\ 15\\\\=\frac{20}{100} \times 15\\\\=0.20\times 15\\\\=3.

Therefore, Mary correctly answered 3 questions on her test.

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The dDifference in hours between full times and the part timers to work three hours a day is 2 working hours how many hours per
hram777 [196]

full timers work 5 hours a day whereas Part timers work 3 hours a day!

<u>Step-by-step explanation:</u>

Here we have , The difference in hours between full times and the part timers to work three hours a day is 2 working hours  . We need to find that  how many hours per day to full timers work . Let's find out:

Let full timers work x hours , Part time workers work 3 hours a day , According to question, difference in hours between full times and the part timers to work three hours a day is 2 working hours  i.e.

⇒ x-3 = 2

Adding 3 to make x term alone :

⇒ x-3+3 = 2+3

⇒ x=5

Therefore, full timers work 5 hours a day whereas Part timers work 3 hours a day!

4 0
3 years ago
What is the multiplicative inverse of 5 in z11, z12, and z13? you can do a trial-and-error search using a calculator or a pc?
grin007 [14]

A multiplicative inverse of an integer a is an integer x such that the product ax is congruent to 1 with respect to the modulus m.  

1. Z_{11}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{4};
  • 5\cdot 4=20=\overline{9};
  • 5\cdot 5=25=\overline{3};
  • 5\cdot 6=30=\overline{8};
  • 5\cdot 7=35=\overline{2};
  • 5\cdot 8=40=\overline{7};
  • 5\cdot 9=45=\overline{1};
  • 5\cdot 10=50=\overline{6}.

The multiplicative inverse of 5 in Z_{11} is 9.

2.   Z_{12}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{3};
  • 5\cdot 4=20=\overline{8};
  • 5\cdot 5=25=\overline{1};
  • 5\cdot 6=30=\overline{6};
  • 5\cdot 7=35=\overline{11};
  • 5\cdot 8=40=\overline{4};
  • 5\cdot 9=45=\overline{9};
  • 5\cdot 10=50=\overline{2};
  • 5\cdot 11=55=\overline{7}.

The multiplicative inverse of 5 in Z_{12} is 5.

3.  Z_{13}=\{\overline{0},\overline{1},\overline{2},\overline{3},\overline{4},\overline{5},\overline{6},\overline{7},\overline{8},\overline{9},\overline{10},\overline{11},\overline{12}\}.

Check:

  • 5\cdot 0=\overline{0};
  • 5\cdot 1=\overline{5};
  • 5\cdot 2=\overline{10};
  • 5\cdot 3=15=\overline{2};
  • 5\cdot 4=20=\overline{7};
  • 5\cdot 5=25=\overline{12};
  • 5\cdot 6=30=\overline{4};
  • 5\cdot 7=35=\overline{9};
  • 5\cdot 8=40=\overline{1};
  • 5\cdot 9=45=\overline{6};
  • 5\cdot 10=50=\overline{11};
  • 5\cdot 11=55=\overline{3};
  • 5\cdot 12=60=\overline{8}.

The multiplicative inverse of 5 in Z_{13} is 8.

8 0
3 years ago
Match the description with the ratio. 1. There are three silver bows for every four red bows in a bag. 3:10 2. There are four re
timofeeve [1]
1.3:4
2.4:10
3.6:10
4.3:10
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Can you help me with these too?<br> its for a geometry final practice<br> plisss
Rainbow [258]

Answer:

I think A and C

Step-by-step explanation:

Im srry if its wrong, but my older sister says that its A and C

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Gennadij [26K]

Answer:

We have: g(x)=(x+2)(x-1)(x-2)

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This is a polynimial function with 2 vertices

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0.8 and -1.5

their images are:

1.9 and 8.8

plot these two vertices and draw some other points

here is a drawing:

6 0
3 years ago
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