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3 years ago

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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.

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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3 years ago

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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3 years ago

Read 2 more answers

WILL MARK BRAINLIEST!! PLZ HELP!!! 20 POINTS Create a graph of the polynomial function g(x) = (x + 2)(x − 1)(x − 2)

Gennadij [26K]

Answer:

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

multiply the 3 terms:

(x+2)(x-1)(x-2)
(x²-4)(x-1)
x^3 -x²-4x+4

This is a polynimial function with 2 vertices

The roots are approximatively:

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