9514 1404 393
Answer:
15.78%
Step-by-step explanation:
Let x represent the fraction of pay that Alec needs to save each week. Then at the end of 6 weeks, he will have ...
159.00 = 6(x(167.91))
x = 159.00/(6·167.91) ≈ 0.157823 ≈ 15.78%
Alec will need to save 15.78% of his pay.
_____
Additional comment
We recognize that $159 is almost a whole paycheck of $168, so Alec needs to save approximately 1/6 of his paycheck each week. We know that 1/6 = 16.67%, so the nearest reasonable answer choice is 15.78%.
please help with math
maths
class 8th
give answers
Combine Like Terms
1. What is the simplest expression equivalent to 2 - 11 + 18 - 20.x ?
-7-21x
7-19x
7+21x
-7+19x
Answer:
-9x+20
Step-by-step explanation:
cho hàm số y= x^{3} +3x^{2} -1 .viết phương trình tiếp tuyến tại điểm có hoành độ bằng -1
hope you do not mind expressing this on in English ♂️
The length of the parallel sides of a trapezium are 3cm and 1 cm, and the distance between them is 1 cm. What is its area?
Answer:
A = 2 cm²
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the distance between parallel sides and b₁, b₂ , the parallel sides
Here h = 1, b₁ = 3, b₂ = 1 , then
A = [tex]\frac{1}{2}[/tex] × 1 × (3 + 1) = [tex]\frac{1}{2}[/tex] × 4 = 2 cm²
The height of a triangle is 5 cm more than its base. The area of the triangle is 52 square centimeters. What is the base of the triangle?
Answer:
the base is 8 cm
Step-by-step explanation:
basically, we need to set up a system of equations.
if we know the area of a triangle is 1/2bh, and that h = b + 5, (because we want them to equal one another in the equation), we can then make two different equations and substitute the h for b.
1/2bh = 52 and h = b+5
subsitute in the (b+5) for the h in the first equation to get
(1/2)(b)(b+5) = 52
multiply both sides by two to get rid of the 1/2
b)(b+5) = 104
now multiply the bs together!
b^2 + 5b = 104
If you know how to factor, we can make this
b^2 +5b -104 and then
(b+13)(b-8) = 0
solve for b to get b = -13, 8, and -13 isn't a real distance, so the only option for b is 8 square centimeters.
Plugging this back into the original equations to get the height (and checking that it is actually right,) we get a height of 13.
When you plug in the 13 and 8 into the area equation, you get
(8)(13)(1/2) = 52
52 = 52
so it works!
lmk if anything is confusing- i know I kind of breezed by the factoring part, but if you have a calculator you can keep dividing 104 by random numbers until you get the right difference if you get kind of lost. The formula
[-b+-sqrt(b^2-4ac)]/2a is another way you could always get the right answer, (from the form Ax^2 + Bx + C), but it's pretty time consuming and I'm not sure whether you've actually learned that yet..
hope that helps! :)
it takes a lady 26 minutes to travel 3 km by walking the first part at 6 km per hour and running the second part at 10 km per hour what distance does she walk
Answer:
78 meter 360meters 600 meters
The HCF of 8 , 12 and 24 is ______
Answer:
the Highest common factor (HCF)of 8,12,24 is 4
a line passes through the points 3, 0 and 4, 1. what is the y-intercept of the line
9514 1404 393
Answer:
(0, -3)
Step-by-step explanation:
The slope is the same for any segment of the line. The slope from (0, y) to (3, 0) is the same as from (4, 1) to (3, 0).
Δy/Δx = (y -0)/(0 -3) = (1 -0)/(4 -3)
y = -3(1/1) = -3 . . . . . multiply by -3
The y-intercept is (0, -3).
What is the quotient of 7.584 x 10^9 and 7.9 x 10^ 2 expressed in scientific notation?
Answer:
9.6 × 10 6
Step-by-step explanation:
(7.584 × ) ÷ (7.9 × 10²)
This gives;
× = 0.96 ×
Simplifying further gives;
9.6 × = 9.6 ×
can someone help me with this one again bc I didn't show the decimal Decimal: 0.44
Step-by-step explanation:
The answer is 10 times
=> 4 hundredths x 10 = 4 tenths
=> 0.04 x 10 = 0.4, which is correct
Hope that helps
Find the missing angle.
Answer:
Angel V = 74
I hope it's helps you
Write this as an algebraic expression:
You have $100 and make $25 a day
Answer:
25d + 100
Step-by-step explanation:
I will call "d" the days passed
25d + 100
What's (9+9i)(-1-5i) using foil method
Answer:
36-54i
Step-by-step explanation:
(9+9i)(-1-5i)
v
-9-9×5i-9i-9i×5i
v
-9-45i-9i-45i^2
v
-9-45i-9i-45×(-1)
v
(-9)-45i-9i+(45)
v
36(-45i)(-9i)
v
36-54i
-3(4x+3)+4(6x+1)43
please solve the problem fully
Answer and Step-by-step explanation:
First, distribute the numbers outside of the parenthesis to the numbers on the inside.
-12x - 9 + 24x + 4 = 43
Combine like terms.
12x - 5 = 43
Add 5 to both sides.
12x = 48
Divide by 12 on both sides of the equation.
x = 3 <- This is the answer.
#teamtrees #PAW (Plant And Water)
Leave any questions you have, put it in the comments below :)
please solve this question i need help
Answer:
4c/2a 60 degrees 3bf 2ad
Answer:
f=120
b=40
d=140
e=120
c=30
a=30
Using rational numbers how do you solve -37 + (-64)
Answer:
-101
Step-by-step explanation:
An addition sign in front of the negative number means to subtract that number.
Another way to write -37 + (-64) is:
-37 - 64
-37 - 64 = -101
The area of this shape is 24 square units. Which of these statements is true about the area ?
Answer:
D.
Step-by-step explanation:
Write an equation in slope-intercept form for the line with slope -3/2 and y -intercept -3
Answer:
It is
[tex]{ \underline{ \sf{y = - \frac{3}{2}x - 3 }}}[/tex]
Step-by-step explanation:
General equation:
[tex]{ \sf{y = mx + c}}[/tex]
m is the slope
c is the y-intercept
[tex]y = - \frac{ 3}{2} x - 3[/tex]
Select the best answer for the question.
13. What's the sum of 25 and 24?
A. %10
B.1%20
c.
D. 8/20
Answer:
Sum means addition so you add them together. I don't know why there are a bunch of percentage signs but the answer is 49.
HELP PLS IM BEGGING YOU PLS HELP, its due todayyy pls. Angle CBD is the only one i got right and the rest is wrong. I dont know how to answer it anymore.
Answer:
try It would be number 81
Step-by-step explanation:
Abc= 110
ceo=70
dbe=110 or 120
and abe= 60 70 or 81
Answer:
ABC=112 degrees
DBE=112 degrees
ABE=68 degrees
Step-by-step explanation:
CBD=ABE
ABE=68 degrees
First let's take these as X,
ABC=DBE=X(Vertically opposite angles)
ABC+DBE+CBD+ABE=360(angles around a point)
x + x +68 +68 =360
2x +136 =360
2x =360-136
2x = 224
x =112 degrees
therefore;
ABC=112 degrees
DBE=112 degrees
278 kg to pounds, rounded off to the nearest pound.
Answer:
About 613 pounds
Step-by-step explanation:
1 : 2.20462262
278 : 612.885089
612.885089 --> 612.89 --> 612.9 --> 613
what passes through the points (-1/2 4) and (1/2 6). show your work
Step-by-step explanation:
The equation of line which passes through these points is determined by:
p(x1,y1)=(-1/2,4) p(x2,y2)=(1/2,6)
[tex] \frac{y - y1}{y2 - y1} = \frac{x - x1}{x2 - x1} \\ \frac{y - 4}{6 - 4} = \frac{x + \frac{ 1}{2} }{ \frac{1}{2} + \frac{1}{2} } \\ \frac{y - 4}{2} = \frac{2x + 1}{2} \\ 2(2x + 1) = 2(y - 4) \\ 4x + 2 = 2y - 8 \\ 4x - 2y + 2 + 8 = 0 \\ 4x - 2y + 10 = 0[/tex]
Note:if you need to ask any question please let me know.
Simplify show all steps thirty POINTS!
express the following ratio as fraction and reduce them to their simplest form 200 meters : 1.4 kilometre
Step-by-step explanation:
200m:1.4km
200m:1400m
1:7
solve for y
-10x + 2y =4
Answer:
y = 5x + 2
Step-by-step explanation:
Add 10x to both sides
2y = 10x + 4
Divide both sides by 2
y = 5x + 2
Is 4 or 3 bigger in a integer
Answer:
4 is bigger than 3
Step-by-step explanation:
4 is bigger than 3
But
-3 is bigger than - 4
(-8, -2) and (1, 9) find the slope
Answer:
11/9
Step-by-step explanation:
To find the slope
m = ( y2-y1)/(x2-x1)
= ( 9 - -2)/(1 - -8)
= ( 9+2)/ (1+8)
= 11/9
Solve the following equation.
X - (-6) = 15
Answer: x=9
Step-by-step explanation:
x-(-6)=15
first the subtraction sign and the negative sign becomes a plus sign
x+6=15
-6 -6
Next you subtract 6 from both sides of the equation. And that leaves you with
x=9
If a function is defined by the equation y = 1/2x -3/2 , which equation defines the inverse of this function?
Answer:
B
Step-by-step explanation:
Rearrange the equation making x the subject
y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{3}{2}[/tex] ( multiply through by 2 to clear the fractions )
2y = x - 3 ( add 3 to both sides )
2y + 3 = x
Change y back into terms of x with x being the inverse function, that is
y = 2x + 3 → B