Four consecutive integers are four numbers in a row, with a difference of one between each of them.
x= first integer
x+1= second integer
x+2= third integer
x+3= fourth integer
sum= add
increased by 10= add 10
the result is= equal sign
6 greater than= add 6
4 times= multiply
EQUATION
(x + x + 2) + 10= (4(x + 3)) + 6
combine like terms on the left side
2x + 12= (4(x + 3)) + 6
multiply 4 by terms in parentheses
2x + 12= 4x + 12 + 6
combine like terms on right side
2x + 12= 4x + 18
subtract 4x from both sides
-2x + 12= 18
subtract 12 from both sides
-2x= 6
divide both sides by -2
x= -3 first integer
x+1= -2 second integer
x+2= -1 third integer
x+3= 0 fourth integer
ANSWER: The four consecutive integers are -3, -2, -1 and 0.
Hope this helps! :)
Answer:
x=30, y=90
Step-by-step explanation:
y+x and y-x are supplementary angles. They must add to 180 degrees
y+x+y-x = 180
Combine like terms
2y = 180
Divide by 2
2y/2 = 180/2
y= 90
y+x and 2x are supplementary angles. They must add to 180 degrees
y+x+2x = 180
y+3x =180
We know y =90
90+3x=180
Subtract 90 from each side
90-90 +3x = 180-90
3x= 90
Divide by 3
3x/3 = 90/3
x = 30
The pounds of alloy that contains 26% copper that would be used is 23.42 pounds.
The pounds of alloy that contains 69% copper that would be used is 29.58 pounds.
<h3>What are the linear equations that represent the question</h3>
0.26a + 0.69b = (53 x 0.5)
0.26a + 0.69b = 26.50 equation 1
a + b = 53 equation 2
Where:
- a =pounds of alloy that contains 26% copper
- b = pounds of alloy that contains 69% copper
<h3>How many pounds of each alloy should be in the third alloy?</h3>
Multiply equation 2 by 0.26
0.26a + 0.26b = 13.78 equation 3
Subtract equation 3 from equation 2
12.72 = 0.43b
b = 12.72 / 0.43
b = 29.58 pounds
a = 53 - 29.58 = 23.42 pounds
To learn more about linear functions, please check: brainly.com/question/26434260
#SPJ1
Yeah, I agree with letsgoplayd. Your answer doesn't make any sense because 8164 is not a decimal. But we can look at another example:
8164.45678
In this case, the number rounded to the 4th decimal point (ten thousandths) would be
8164.45680
Because the digit after the 7 is 8, we should round the "78" part to "80".
These two rules will help:
5 or more, raise the score (add 1 to the digit, and let the digit directly behind it become 0.)
4 or less, let it rest (keep the digit, and let the digit directly behind it turn to a 0.)
Hope this helps! :)
Answer:
40,60,80
Step-by-step explanation:
2x+3x×4x=180
9x=180
x=20
2x=40
3x=60
4x=80
