Answer:
2.75 yards
Step-by-step explanation:
If it took both (meaning 2) dresses a certain amount, half of that amount is one dress. So, we need to divide 5 1/2 by 2
*1/2 of 1 = 0.5
0.5 + 5 = 5.5
5.5 / 2 = 2.75
(2.75 also equals 2 3/4)
Answer:
x=7 (if your teacher cares it could + or - 7)
Step-by-step explanation:
Okay, since it's a 90 degree triangle you can use the Pythagorean theorem
( a^2 + b^2 = c^2)
Since it's an isosceles triangle the other side is x because it's the same value.
x^2 + x^2= (7
)^2
Add the left side
2x^2= 7^2 +
^2 roots and square roots cancel each other out
So -> 2x^2= 49 x 2 =98
just solve for x.
x^2 = 98/2
x^2= 49
Square root both sides
x= 7
Answer:
47 feet per second
Step-by-step explanation:
35+(40X5)=235
235/5=47 feet per second
(47 feet per second is aproximately 32 mph.)
Answer:
(0.0147, 4.0147) and (-4.04, 0.04)
Step-by-step explanation:
Let the smaller number be x
Let the larger number be y
If a positive integer is 4 less than another, then;
x = y - 4 ...1
If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;
1/y - 3(1/x) = -67
1/y -3/x = -67 ...2
Substitute 1 into 2
1/y - 3/y-4 = -67
y-4-3y/y(y-4) = -67
-4-2y = -67(y^2-4y)
- 4-2y = -67y^2 +268y
-67y^2 +268y+2y + 4 = 0
-67y^2 +270y + 4 =0
67y^2 -270y - 4 = 0
Factorize
-270±√270² - 4(-4)(67)/2(67)
= -270±√72,900+1072/134
= -270±271.97/134
= -270 -271.97/134 and -270 +271.97/134
= -541.97/134 and 1.97/134
x = 0.0147 and -4.04
y = x+4
y = 0.0147+4
y = 4.0147
If x = -4.04
y = -4.04 + 4
y = 0.04
Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)