Answer:
A
Step-by-step explanation:
ABC triangle is 1/2 the size of DEF triangle. In order to transform ABC to DEF, the scale has to be doubled and the point on the y-axis has to move down to 10
9514 1404 393
Answer:
see below
Step-by-step explanation:
It is easiest to compare the equations when they are written in the same form.
The first set can be written in slope-intercept form.
y = 2x +7
y = 2x +7 . . . . add 2x
These equations are <em>identical</em>, so have infinitely many solutions.
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The second set can be written in standard form.
y +4x = -5
y +4x = -10
These equations <em>differ only in their constant</em>, so have no solutions.
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The third set is already written in slope-intercept form. The equations have <em>different slopes</em>, so have exactly one solution.
When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten
<h3>How to write the number in standard form?</h3>
The number expression is given as:
(2tens 1 one) x 10
2 tens is represented as:
2 * 10
1 one is represented as:
1 * 1
So, the number expression can be rewritten as:
(2tens 1 one) x 10 = (2 * 10 + 1 * 1) x 10
Evaluate the product
(2tens 1 one) x 10 = (20 + 1) x 10
Evaluate the sum
(2tens 1 one) x 10 = (21) x 10
Evaluate the product
(2tens 1 one) x 10 = 210
When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten
Using the above steps as a guide, we have:
- (5 hundreds 5 tens) * 10 ⇒ 5 thousands and 5 hundreds ⇒ 5500
- (2 thousands 7 tens) / 10 ⇒ 2 hundreds and 7 units ⇒ 207
- (4 ten thousands 8 hundred) / 10 ⇒ 4 thousands and 8 tens ⇒ 4080
Read more about standard form at
brainly.com/question/19169731
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Answer: 5/3, 2
It’s going up by 1/3 so just add 1/3 to 4/3 for the next term.
1/3 + 4/3 = 5/3
Now add 1/3 to 5/3 for the best term
5/3 + 1/3 = 6/3 = 2
Answer:
<u>1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>
Step-by-step explanation:
1. Let's review all the information provided for solving this question:
Proportion of patrons that are male at Joe's restaurant = 1/4
Proportion of patrons that are from out of town at Joe's restaurant = 1/5
2. What proportion would you expect to be male and out of town?
For finding the proportion of the patrons, that would be male and that would be from out of town, we do this calculation:
Proportion of patrons that are male at Joe's restaurant * Proportion of patrons that are from out of town at Joe's restaurant
<u>1/4 * 1/5 = 1/20 </u>
<u>It means that 1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>