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eboniwiley
17.09.2019 •
Mathematics
1.
an unknown number y is 15 more than an unknown number x. the number y is also x less than 8. the equations to find x and y are shown below.
y = x + 15
y = –x + 8
which of the following statements is a correct step to find x and y? (4 points)
multiply the equations to eliminate y.
add the equations to eliminate x.
write the points where the graphs of the equations intersect the x-axis.
write the points where the graphs of the equations intersect the y-axis.
2.
variable a is 4 more than variable b. variable a is also 1 less than b. which of the following pairs of equations best models the relationship between a and b? (4 points)
a = b + 4
a = b – 1
a = 4b
a = b + 1
b = a + 4
b = a – 1
b = 4a
b = a + 1
3.
betsey is 11 years older than waldo. betsey's age is 15 years less than three times waldo's age. the system below models the relationship between betsey's age (b) and waldo's age (w):
b = w + 11
b = 3w – 15
which of the following methods is correct to find betsey's and waldo's age? (4 points)
solve w + 11 = 3w – 15 to find the value of w.
solve b + 11 = 3b – 15 to find the value of b.
write the points where the graphs of the equations intersect the x-axis.
write the points where the graphs of the equations intersect the y-axis.
4.
a matinee ticket costs $6 per adult and $1 per child. on a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. which of the following options represents the number of children and the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers? (4 points)
7 children and 28 adults
equation 1: a + c = 35
equation 2: 6a – c = 70
7 children and 28 adults
equation 1: a + c = 35
equation 2: 6a + c = 70
28 children and 7 adults
equation 1: a + c = 35
equation 2: 6a + c = 70
28 children and 7 adults
equation 1: a + c = 35
equation 2: 6a – c = 70
5.
bella and heather put some money into their money boxes every week. the amount of money (y), in dollars, in their money boxes after a certain amount of time (x), in weeks, is shown by the equations below:
bella: y = 25x + 60
heather: y = 30x + 10
after how many weeks will bella and heather have the same amount of money in their money boxes, and what is that amount? (4 points)
10 weeks, $10
10 weeks, $310
9 weeks, $310
310 weeks, $10
Solved
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Ответ:
1. add the 2 equations, since you have x and -x the x would be removed giving you y
2. a is 4 more than b = a = b+4
a is 1 less than b = a=b-1
so the first pair is correct.
3. Solve w + 11 = 3w – 15 to find the value of w, then you can use the value of w to find b
4. 3rd
28 children and 7 adults
Equation 1: a + c = 35 ( 28+7 = 35)
Equation 2: 6a + c = 70 (6*7=42, 42+28 = 70)
5. 25x+60 = 30x+10
50 = 5x
x = 50/5 = 10 weeks
25(10) = 250+60 = 310 dollars
2nd answer 10 weeks, $310
Ответ:
The suffix -ive contributes to the meaning of the words in that it indicates that someone possesses a particular characteristic/acts in a particular way described in the verb itself.
Explanation:
The meaning of the suffix -ive is 'having the nature of.' We add this suffix to verbs, in order to form adjectives: (to) act + ive = active. This suffix tells us that someone possesses a particular characteristic described in the verb itself. In case of 'active', the suffix indicates that someone is always ready for action. Similarly, the suffix -ive in 'inclusive' indicates that someone has the nature of including other people. When it comes to 'possessive', the suffix tells us that someone likes to 'possess' other people.