step 1: open up the brackets ( rmb to flip the signs )
step 2: bring 'a' to one side and the numbers to the other
6a + 34 = -3(-2a + 8)
6a + 34 = 6a - 24
6a - 6a = -24 - 34
0 = - 58
the final ans is kind of weird but here's my solution :))
An ad for an above-ground pool states that it is 25 m2. From the ad, you can tell that the pool is a circle. If you swim from one point at the edge of the pool to another, along a straight line, what is the longest distance d you can swim? Express your answer in three significant figures.
Answer:
d ≈ 5.64 m
Step-by-step explanation:
We are told that the pool is circular and that the area is 25 m².
Now, the longest chord that connects two points in a circle is the diameter.
Thus, the longest distance d will be the diameter
Area of circle is given by the formula;
A = πr²
Thus;
25 = πr²
r² = 25/π
r = √(25/π)
r = 5/√π
Diameter is twice the radius. Thus;
d = 2 × 5/√π
d = 10/√π
d ≈ 5.64 m
You have a balance of $213 in a savings account you withdraw $68 one day and $128 the next day without making any deposit what is the new balance
Answer:
17. . . . . . . . . . . . . . . "" " . . .
Answer:
$213
- $68
______
$145
- $128
______
$17
Step-by-step explanation:
If you start with $213 and withdraw $68 it would be $145 and then withdraw $128 you would only have $17 dollars left in your savings.
An image point after 180 rotation is Z'( 3,7) what are the coordinates of the pre-image point
Answer:
(-3 , -7)
Step-by-step explanation:
What is the quotient of 75,120 ÷ 16?
Answer:
4695
Step-by-step explanation:
Answer:
4,695
use long divison
Find the function rule
X Y
0 -5
10 15
20 35
y=___
Answer:
y=2x-5
Step-by-step explanation:
y is double x minus 5
What is the profit percentage if the selling price is Rs 3000 and the cost price is RS 2000? * 5% 15% 50% 100%
3000/2000 = 1.5
3000 is 1.5 time as much as 2000. or 3000 is 50% bigger than 2000
answer: 50%
I NEED HELP PLEASE WITH PART 2, THANKS!
Steps to solve:
-6w - 8 + 15w = 2w - 8 + 7w
~Combine like terms
9w - 8 = 9w - 8
~Add 8 to both sides
9w = 9w
~Divide 9 to both sides
0 = 0
All real numbers are solutions.
Set builder notation: {x | R}
Best of Luck!
i have 4 questions
1. Suppose point T is between points R and V on a line. If RT = 63 units and RV = 131 units, then what is TV? 131 194 68 80
2.Given point P is between M and N. If MN = 26, MP = x + 4, and PN = 2x + 1, what is the value of x? x = 3 x = 7 x = 12.5 x = 22
3.Given M is the midpoint of HJ, HM = 4x - 12, and MJ = 3x + 9. What is the value of x?
4.If D is the midpoint of CE, DE = 2x + 4, and CE = 6x + 2, then what is CD?
Answer:
1. [tex]TV = 68[/tex]
2. [tex]x = 7[/tex]
3. [tex]x = 21[/tex]
4. [tex]CD = 8[/tex]
Step-by-step explanation:
Solving (1):
Given
[tex]RT = 63[/tex]
[tex]RV = 131[/tex]
Required
Determine TV
To solve TV, we make use of the following formula;
[tex]RV = RT + TV[/tex]
Substitute values for RT and RV
[tex]131 = 63 + TV[/tex]
Make TV the subject of formula
[tex]TV = 131 - 63[/tex]
[tex]TV = 68[/tex]
Solving (2):
Given
[tex]MN = 26[/tex]
[tex]MP = x + 4[/tex]
[tex]PN = 2x + 1[/tex]
Required
FInd x
To solve x, we make use of the following formula;
[tex]MN = MP + PN[/tex]
Substitute values for MP, MN and NP
[tex]26 =x + 4 + 2x + 1[/tex]
Collect Like Terms
[tex]2x + x = 26 - 4 -1[/tex]
[tex]3x = 21[/tex]
Divide both sides by 3
[tex]x = 7[/tex]
Solving (3):
Given
[tex]HM = 4x - 12[/tex]
[tex]MJ = 3x + 9[/tex]
Required
Find x
Since M is the midpoint;
[tex]HM = MJ[/tex]
This gives
[tex]4x - 12 = 3x + 9[/tex]
Collect Like Terms
[tex]4x - 3x = 12 + 9[/tex]
[tex]x = 21[/tex]
Solving (4):
Given
[tex]CE = 6x + 2[/tex]
[tex]DE = 2x + 4[/tex]
Required
FInd CD
Since D is the midpoint;
[tex]CD= DE[/tex]
and
[tex]CE = CD + DE[/tex]
Substitute CD for DE
[tex]CE = DE + DE[/tex]
[tex]CE = 2DE[/tex]
Substitute values for CE and DE
[tex]6x + 2 = 2(2x + 4)[/tex]
Open Bracket
[tex]6x + 2 = 4x + 8[/tex]
Collect Like Terms
[tex]6x - 4x = 8 - 2[/tex]
[tex]2x = 6[/tex]
Divide both sides by 2
[tex]x = 3[/tex]
Recall that;
[tex]CD= DE[/tex]
So;
[tex]CD = 2x + 4[/tex]
Substitute 2 for x
[tex]CD = 2 * 2 + 4[/tex]
[tex]CD = 4 + 4[/tex]
[tex]CD = 8[/tex]
Which of the following is not an example of a perfect square? a √9 b √200 c √4 d √64
Answer:
b= 200 is not an example of a perfect square
Values of k for which the quadratic equation 2x - kx + k 0 has equal roots is
a)0only
b)4
c)8 only
d)0,8
Answer:
The answer is D.
Step-by-step explanation:
We have to apply Discriminant Law. When a quadratic equation, ax² + bx + c = 0 has equal roots so the discriminant will be 0. Then, you have to substitute the values into the formula :
[tex]D = {b}^{2} - 4ac[/tex]
[tex]let \: D = 0 ,a = 2,b = k,c = k[/tex]
[tex]0 = {k}^{2} - 4(2)(k)[/tex]
[tex] {k}^{2} - 8k = 0[/tex]
[tex]k(k - 8) = 0[/tex]
[tex]k = 0[/tex]
[tex]k - 8 = 0[/tex]
[tex]k = 8[/tex]
y=-5x+6. y=3x-2 what do the values of x and y represent
Answer:
x=1; y=1
Step-by-step explanation:
Step-by-step explanation:
Given:
y=-5x+6 ----------(1)
y=3x-2 ----------(2)
As L.H.S from equation 1 and 2 are equal R.H.S will also be equal
Therefore
-5x+6=3x-2
-5x-3x=-2-6
-8x=-8
x=1
put x=1 in equation (1)
y=-5×1+6
y=-5+6
y=1
Therefore , x=1 and y=1.
Alan sells electronics, earning a base wage of $320 for one week, and a commission equal to 5% of his sales. he needs to earn at least $600 each week to cover his expenses. set up and solve an inequality to determine what Alans sales can be in order to ensure his expenses are covered.
Answer:
320 +0.05s ≥ 600sales ≥ $5600Step-by-step explanation:
For sales of 's', Alan's earnings will be ...
320 +0.05s
He wants that to be at least 600, so the inequality is ...
320 +0.05s ≥ 600
__
Its solution is found by subtracting 320 and dividing by 0.05.
0.05s ≥ 280
s ≥ 5600
Alan's weekly sales must be at least $5600 for his earnings to cover his expenses.
At a farmers' market Saturday, 5/8 of the vegetables sold were green. Of these, 3/4 were string beans. What fraction of the vegetables sold were string bean? (write your answer as a fraction)
Answer: 15/32
Step-by-step explanation:
The data that we have is:
5/8 of the vegetable sold where green.
of theses 5/8, 3/4 were string beans.
Then the 3/4 is applied to the 5/8 of green vegetables.
Then the fraction (of the total number of vegetables) that were string beans was:
F = (3/4)*(5/8) = (3*5)/(4*8) = 15/32
the formula for the surface area of.a cube is S = 6x squared where x is the length of one side. find the length of the side of a cube with a surface area of 150 square imches HELP NOWwww!!!!!
Answer:
5 in
Step-by-step explanation:
S = 6x² is the formula and S = 150 in²
Therefore we have:
150 = 6x²x² = 150/6x² = 25x = √25x = 5 inSide of the cube is 5 in
the difference of a number and 6 is the same as 5 times the sum of the number and 2
Answer:
n - 6 = 5 * ( n + 2 ) ; n = -4
Step-by-step explanation:
For this problem, we will use the words to create an equation. The left hand side of the equation will be the difference of a number and 6 and the right hand side of the equation will be 5 times the sum of the number and 2. Hence, we can build the equation:
n - 6 = 5 * ( n + 2 )
If we wanted, we can solve the equation for the number, n.
n - 6 = 5 * ( n + 2 )
n - 6 = 5 * n + 5 * 2
n - 6 = 5n + 10
-16 = 4n
-4 = n
Thus, we have found the missing number to be negative four.
Cheers.
Find the midpoint of the line segment with the given endpoints. 1) (-4, -9), (-6, -6)
Answer:
The answer is
[tex]( - 5 \: , \: - \frac{15}{2} )[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a given line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-4, -9), (-6, -6)
The midpoint is
[tex]M = ( \frac{ - 4 - 6}{2} , \: \frac{ - 9 - 6}{2} ) \\ = ( - \frac{10}{2} , - \frac{15}{2} )[/tex]We have the final answer as
[tex]( - 5 \: , \: - \frac{15}{2} )[/tex]Hope this helps you
look at the attachment
Answer:
x=-6
For PA: 78-29=49
For AQ: 48+3=51
Step-by-step explanation:
The line is from left to right PAQ
It says PQ is 100 which is the whole line
PA +AQ is PQ so that means:
-13x-29-8x+3=100
-21x-26=100
-21x=126
x=-6
Plug in the x values to PA and AQ
For PA: 78-29=49
For AQ: 48+3=51
Solve the following equation for x: 2x + 5y = 8
Answer:
x=4-5/2y
Step-by-step explanation:
Wetlands offer a diversity of benefits. They provide a habitat for wildlife, spawning grounds for U.S. commercial fish, and renewable timber resources. In the last 200 years, the United States has lost more than half its wetlands. Environmental Almanac gives the percentage of wetlands lost in each state in the last 200 years. For the lower 48 states, the percentage loss of wetlands per state is as follows:
46 37 36 42 81 20 73 59 35 50
87 52 24 27 38 56 39 74 56 31
27 91 46 9 54 52 30 33 28 35
35 23 90 72 85 42 59 50 49
48 38 60 46 87 50 89 49 67
The percentages are concentrated from 20% to 60% The percentages are concentrated from 60% to 90%
There is a gap showing that none of the lower 48 states has lost from 60% to 69% of its wetlands.
These data are strongly skewed left.
These data are fairly symmetric, perhaps slightly skewed right.
There is a gap showing that none of the lower 48 states has lost from 10% to 19% of its wetlands.
There are no gaps in the data.
Question Completion:
How are the percentages distributed? Is the distribution skewed? Are there any gaps? (Select all that apply.)
Answer:
1. The percentages are concentrated from 20% to 60%.
2. These data are strongly skewed left.
3. There are no gaps in the data.
Step-by-step explanation:
1. Data
Percentage loss of wetlands per state
46 37 36 42 81 20 73 59 35 50
87 52 24 27 38 56 39 74 56 31
27 91 46 9 54 52 30 33 28 35
35 23 90 72 85 42 59 50 49
48 38 60 46 87 50 89 49 67
2. Re-arrangement of
Percentage loss of wetlands per state (in ascending order)
9 20 23 24 27 27 28 30
31 33 35 35 35 36 37 38
38 39 42 42 46 46 46 48
49 49 50 50 50 52 52 54
56 56 59 59 60 67 72 73
74 81 85 87 87 89 90 91
Which angles are adjacent to each other?
Step-by-step explanation
dab and aeb
they are adjacent
Find the least common multiple of 20, 4, and 5
Answer:
LCM = 20
Step-by-step explanation:
You need to make everything into 20. Luckily, 4X5 is 20 and vise versa.
Use known logical equivalences to prove that a → (b → c) is logically equivalent to (a ^ b) → c.
Answer:-
a ∨ ( b ∨ c ) ⇔ (a ∨ b )∨ c ⇔ (a∧b)∨c ⇔(a∧b)→c
Step-by-step explanation:
Explanation :-
we know that b→ c ⇔ b∨c
Replacing b→ c ⇔ b ∨ c , we get
a → b ∨ c ,
By the same rule b→ c ⇔ b∨c
⇒ a ∨ ( b ∨ c )
Now
a ∨ ( b ∨ c ) ⇔ (a ∨ b )∨ c ⇔ (a∧b)∨c ⇔(a∧b)→c
You just found 13,406,190 pennies! How many dollars did you actually find? If each penny weighs 4 grams, how much did all that loot weigh in lbs?
Write the coordinates of the vertices after a rotation 90° clockwise around the origin. If B=(-7, 0), C=(-1, 0), D=(0, 4), E=(-6, 4).
Answer:
hh8egu
Step-by-step explanation:
Adsila and Carlos volunteer to fill gift boxes for soldiers serving overseas.
Both work at a constant rate. They work together for 6 hours and fill 126 boxes,
Adsila fills 9 boxes every hour. How many boxes does Carlos fill every hour?
Answer:
12 boxes an hour
Step-by-step explanation:
If Adsila made 9 boxes an hour for 6 hours,she made 54 boxes (9*6=54). Take how many she made away from the total (126-54=72). If Carlos made 72 boxes in 6 hours, divide 72 by 6 to get 12 (72/6=12). Carlos made 12 boxes an hour.
what is 9 as a percent of 90
Answer:
8.1
Step-by-step explanation:
the answer the problem is 8.1
Answer:
10%
Step-by-step explanation:
convert fraction (ratio) 9/90 Answer : 10%
Give two ways to write the algebraic expression:
10s
Answer:
10 * s, 10(s), s(10), s * 10.
Step-by-step explanation:
Hope this helps
k+a=500
how do i get k alone on one side of the equation ?
Answer:
k = 500 - a
Step-by-step explanation:
[tex]k + a = 500[/tex]
As we need "k" alone in one side of eqn. , we need to substract "a" on both the sides of the eqn. so that we can cancel "a" which on the left side.
[tex]k + a - a = 500 - a[/tex]
[tex] = > k = 500 - a[/tex]
Help i dont understand Pls Help :( Given h(x)=4x-4h(x)=4x−4, solve for xx when h(x)=0h(x)=0.
Answer:
x=1
Step-by-step explanation:
So when it's h(5)= whatever equation you all the x in the equation to 5 and solve. When it says h(x)=0, it's asking you to find x for the equation to equal 0.
It's easy! all you have to do is set the equation to 0
so 4x-4=0
add 4 from both sides
4x = 4
divide
x=1
Distribute the negative sign: -(x - 6y)
Answer:
- x + 6y
Step-by-step explanation:
Step 1:
- ( x - 6y )
Answer:
- x + 6y
To open up the parentheses you have to turn the negative into a positive.
Hope This Helps :)