Answer:
23. x = 4; DE = 44
24. x = 25; DS = 28
Step-by-step explanation:
23. Point S is the midpoint of DE, so ...
DS = SE
3x +10 = 6x -2
12 = 3x . . . . . . . . . add 2-3x
4 = x . . . . . . . . . . . divide by 3
Then DS has length ...
DS = 3x +10 = 12 +10 = 22
and DE is twice that length, so ...
DE = 44
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24. DS is half the length of DE, so is ...
DS = DE/2 = 56/2
DS = 28
Then x can be found from ...
DS = x +3
28 -3 = x = 25 . . . . . substitute value for DS
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<em>Comment on problem 24</em>
Sometimes it is easier to work parts of a problem out of sequence. Here, finding DS first makes finding x easier.
The ordered pair (7, 19) is only a solution to the first equation, 14-19= -5. the ordered pair is not a solution to the second equation 7 + 57 does not equal 22.
Answer:
15 boys and 25 girls
Step-by-step explanation:
The sum of boys (b) and girls (g) is given as 40:
g + b = 40
The number of girls is 2 times the number of boys minus 5:
2b - 5 = g
First formula can be rewritten as g = 40 - b
Then you can substitute this for g in the second, and you get:
2b-5 = 40-b
Which simplifies to:
2b + b = 40 + 5
3b = 45
b = 15
g = 40-15 = 25
15 boys, 25 girls.
Answer:
Bruno is correct. When going from a larger unit to a smaller unit you need to divide
Step-by-step explanation:
Sam's calculation:
45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 × 0.621 = 77.38 kilometers.
Bruno's calculation:
45.7 + 40.9 + 38.0 = 124.6 miles. 124.6 divided by 0.621 = 200.64 kilometers.
1 kilometer = 0.621 miles.
Bruno is correct. When going from a larger unit to a smaller unit you need to divide
We will divide a larger value by a smaller value to get the smaller units
Hey there!!
Basic formula :
... a² - b² = ( a + b ) ( a - b )
Equation given :
... 81x² - 25
... ( 9x )² - ( 5 )²
... ( 9x + 5 ) ( 9x - 5 )
Hope it helps!!
