Answer:
128Step-by-step explanation:
Step one:
given the expression w/8 - 4 = 20
the first operation is to isolate the term that has w by adding 4 to both sides
w/8 - 4+4 = 20+4
w/8 = 16
Required
the value of w
Step two:
the next step is to cross multiply
w=16*8
w=128
4) A TV is on sale. The TV has been reduced by 20%. The sale price is £540. What was the
original price of the TV?
Answer:
675
Step-by-step explanation:
If the price is 20 % off, then we will pay 100-20 = 80 percent of the original price
Let x be the original price
x* 80% = 540
Change to decimal form
x * .80 = 540
Divide each side by .80
.80x / .80 = 540/.80
x =675
The original price is 675
7. Give an example of a real number that is not rational.
Answer:
3.14
Step-by-step explanation:
4.What number falls between -28 and -34 on the number line?
A.-29
B. 0
C.-25
D. -35
What is (-∞ , -1) ∪ [ 2 , +∞)
9514 1404 393
Answer:
interval notation for all numbers except those that are at least -1 and less than 2.
Step-by-step explanation:
The ∪ between the two sets of brackets indicates the "union" of two sets. The brackets on the left indicate the interval ...
-∞ < x < -1 . . . . . for a value represented by x
The curved brackets ( ) indicate the end values of the interval are not included, which is why the < symbol is used, and not the ≤ symbol.
The brackets on the right indicate the interval ...
2 ≤ x < +∞ . . . . . for a value represented by x
The square bracket [ ] is used to indicate the end value is included, which is why the ≤ symbol is used in relation to the end-value 2.
By convention, the interval notation lists the left end of the interval first, and always uses curved brackets for infinity.
Is every relation also a function? Explain
Answer:
no
Step-by-step explanation:
they are not
Answer:
Step-by-step explanation:
In fact, every function is a relation. However, not every relation is a function. In a function, there cannot be two lists that disagree on only the last element. This would be tantamount to the function having two values for one combination of arguments.
Albert wants to buy two pomegranates and some peaches • The price of one pomegranate is $1.59. • The price of peaches is $1.19 per pound. Albert wants to no more than $10.00. Which graph represents the number of whole pounds of peaches Albert can buy?
Answer:
He can buy 5 pounds of peaches.
Step-by-step explanation:
2 pomegranates cost $3.18 so, subtract that from $10.00 and you get $6.82. Multiply the different number of pounds with the cost per pound until you go over $6.82. Then go back a pound and multiply. 5 pounds times $1.19 equals $5.95.
The measures of the angles of a triangle are shown in the figure below. Solve for X
Answer:
34Step-by-step explanation:
Sum interior of triangles add up to 180 degrees. So add 103 + 43 to get 146 then subtract 180 - 146 to get 34 as the last missing angle of the triangle
Answer:
34
Step-by-step explanation:
103+43=146
a triangle always adds up to 180 degrees
180-146=34
so that's the workings hope the answers right
Determine which equation is parallel to line JK and which is perpendicular to line JK. [5x - 3y = 8 [6x - 10y=7 15x + 3y = 13 (6x + 10y = 11 YA +10 -8 - 10 10 -6 -2 6 2 2 8 10 Parallel Line Perpendicular Line
Answer:
5x + 3y = 13 parallel.
6x - 10y = 7 perpendicular.
The equation which is parallel to the line JK is
a) Parallel is 5x + 3y = 13
b) Perpendicular is 6x - 10y = 7
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be J ( -5 , 5 )
Let the second point be K ( 1 , -5 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 5 - ( -5 ) ) / ( -5 - 1 )
m = 10 / -6
m = -5/3
The parallel lines have same slope and the perpendicular lines have the negative reciprocal of slope
So , the equation of line parallel to JK is 5x + 3y = 13
And , the equation of line perpendicular to line JK is 6x - 10y = 7
Hence , the equation of line is solved
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50 POINTS IF YOU CAN ANSWER IT!
(Click the photo to see the math problem)
Suppose your community has 3580 people this year. the population is growing 2.5% each year.
Write an exponential function to model the population. what will the population be in 3 years? Graph the function and give the domain and the range.
Step-by-step explanation:
a could be 3580 X 1.25^n
b could be 6992.19
dk c
Someone help me please I don’t know how to do this
Step-by-step explanation:
A
y=10x
x:y=x:10x=1:10
Sofia measured a line to be 8.9 inches long. If the actual length of the line is 8.7 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?
Answer:
2.2%
Step-by-step explanation:
Use the percent error formula:
% error = | (approx - exact) ÷ approx | x 100
Plug in the approx. and exact values:
| (8.9 - 8.7) ÷ 8.9 | x 100
| (0.2) ÷ 8.9 | x 100
= 2.2
So, the percent error is 2.2%
Answer:1.2%
Step-by-step explanation:
∣experimental−actual∣
×100
The formula
∣
8.7
−
8.6
∣
8.6
×
100
8.6
∣8.7−8.6∣
×100
Plug in values
∣
0.1
∣
8.6
×
100
8.6
∣0.1∣
×100
Subtract
0.1
8.6
×
100
8.6
0.1
×100
Take the absolute value
0.0116279
×
100
0.0116279×100
Divide
1.16279
1.16279
Multiply by 100
1.2
%
1.2%
Helpp me plzzz!!
A.) Side - Side - Side
B.) Side - Angle - Side
C.) Angle - Side - Angle
D.) Angle - Angle - Side
E.) Hypotenuse - Leg
Answer:
side angle side. Seems contrary
Answer:
side angle side. Seems contrary
Step-by-step explanation:
Simplify the expression.
4 (-y + 2) – 3y
A. y – 8
B. -7y + 2
C. -7y + 8
D. y + 8
SHOW YOUR WORK PLZSSSSSS
Answer:
B
Step-by-step explanation:
Expand to get -4y+2-3y. Combine like terms to get -7y+2.
What is the average rate of change in profit from Hour 5 to Hour 10?
Answer:
d
Step-by-step explanation:
so at 5 hours he was at a profit of 900 and 5 hours later he is at a profit 1500 then you can sub tract 900 from 1500 which gives you 600
$600 is the average rate of change in profit from Hour 5 to Hour 10
What is Rate of change?A rate of change is a rate that describes how one quantity changes in relation to another quantity
The given table is
Hour Profit
0 $0
2.5 $500
5 $900
7.5 $1200
10 $1500
5 hours the profit is 900 and 5 hours later he is at a profit 1500
We need to subtract 900 from 1500 to find the average rate of change.
1500-900=600
Hence $600 is the average rate of change in profit from Hour 5 to Hour 10
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Holly's checking account has a dollar balance. Emily's checking account has a dollar balance. Which of the following is true about their account balances?
A.
Holly's account balance > Emily's account balance
B.
Holly's account balance < Emily's account balance
C.
Holly's account balance = Emily's account balance
Answer:
C
Step-by-step explanation:
Both Holly and Emily have the same account balance thus it is equal to
Answer:
Dont listen to the person its actually B
Step-by-step explanation:
On a number line, smaller numbers are to the left of larger numbers.
Negative values are always less than positive values.
So, the following is true.
Holly's account balance < Emily's account balance
-8 - x = x - 4x
how does x equal to 4 and how do u do this
Answer:
x=4
Step-by-step explanation:
-x=-3x+8
-x+3x=-3x+8+3x
2x=8
2x/2 = 8/2
x = 4
Ernie Bilko has a business idea. He wants to rent an abandoned gas station for just the months of November and December. He will convert the gas station into a drive-through Christmas wrapping
station. Customers will drive in, drop off their gifts, return the next day, and pick up their wrapped gifts. He needs $332,200 to rent the gas station, purchase wrapping paper, hire workers, and
advertise. If he borrows this amount at 61% Interest for those two months, what size lump sum payment will he have to make to pay off the loan? (Round your answer to the nearest cent.)
Correction is the question: 6[tex]\frac{1}{2}%[/tex]% = 6.5%
Answer:
Amount to be repaid is $335798.833
Step-by-step explanation:
Amount of loan = $332,200
Rate of interest = 6.5%
time = 2months = 2/12 = 1/6 years
The amount of interest is simple interest
SI = [tex]\frac{P * R * T}{100}[/tex]
=[tex]\frac{ 332200 * 6.5 *1 }{100 * 6}[/tex]
= $3598.833
Final amount to be repaid = 332200+ 3598.833
= $335798.833
write an equation that represents the line. (-3,-6) and (2,-2) use exact numbers
Given:
The line passes through (-3,-6) and (2,-2).
To find:
The equation of line.
Solution:
If a line passes through two points [tex](x_1,y_1)\text{ and }(x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
The line passes through (-3,-6) and (2,-2). So, the equation of line is
[tex]y-(-6)=\dfrac{-2-(-6)}{2-(-3)}(x-(-3))[/tex]
[tex]y+6=\dfrac{-2+6}{2+3}(x+3)[/tex]
[tex]y+6=\dfrac{4}{5}(x+3)[/tex]
[tex]y+6=\dfrac{4}{5}(x)+\dfrac{4}{5}(3)[/tex]
Subtract 6 from both sides.
[tex]y=\dfrac{4}{5}(x)+\dfrac{12}{5}-6[/tex]
[tex]y=\dfrac{4}{5}(x)+\dfrac{12-30}{5}[/tex]
[tex]y=\dfrac{4}{5}(x)+\dfrac{-18}{5}[/tex]
[tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex]
Therefore, the equation of line is [tex]y=\dfrac{4}{5}(x)-\dfrac{18}{5}[/tex].
Show the work! Ill mark Brainliest!
2x - 3y = 12
Answer:
here is explanation by graph
Solve (x-4)^2 = 5
A. x= 4 +- square of 5
B. x= 9 and x= -1
C. x= 5 +- square of 4
D. x= -4 +- square of 5
Answer:
A
Step-by-step explanation:
Assuming you mean the square root of five, then the answer is A.
You start by taking the square root of both sides.
√(x - 4)^2 = ±√5
x - 4 = ±5
x = 4 ±5
if sec(∞) < 0 and the sin(∞) = 15/17 what is the exact value of cot (∞)
please help asap! xoxo
Answer:
First one obv false
the second one since they all times 3/4 so yes
i'll mark you as brainliest
Answer:
the answer is 6
Step-by-step explanation:
PH is the midsegment of Triangle KLM. Find the value of x.
Answer:
x = 26
Step-by-step explanation:
The midsegment is parallel to the side KM and half its length, thus
KM = x = 2 × 13 = 26
Find EF. Please help!
Answer:
EF = 7 + 39 = 46
Step-by-step explanation:
EF = FG
x + 39 = 7x - 3
39 + 3 = 7x - x
42 = 6x
x = 42/6
x = 7
hope this helps :)
Write the equation of the line that goes through the point (1,3) & is
PARALLEL to the line y=2x+8 *
Answer:
y = 2x + 1
Step-by-step explanation:
Let the equation of the line be y = mx + c
since it is parallel to y = 2x + 8, their slope/gradient is the same (aka m = 2)
sub (1, 3):
3 = 2(1) + c
c = 1
therefore, the equation is y = 2x + 1
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
please solve both questions, i'm very confused! thank you
Answer:
Step-by-step explanation:
These types of problems can be solved with substitution.
We just have to translate the word problem into math.
#1:
F = family, I = individual
[tex]F + I = 188\\95F + 42I = 12,507[/tex]
[tex]F = 188-I\\95(188-I) + 42I = 12507\\17860 - 95I + 42I = 12507\\-53I = -5353\\I = 101\\\\F + I = 188\\F + 101 = 188\\F = 87[/tex]
87 Families, 101 individuals
#2:
The perimeter is 899 meters. The perimeter can be defined as:
[tex]2L + 2W = P\\2L + 2W = 899[/tex]
We are also given that
[tex]2L = W - 100\\so\\2L + 2W = 899\\W- 100 + 2W = 899\\3W = 999\\W = 333\\\\L = \frac{W-100}{2} = \frac{333-100}{2} = \frac{233}{2}[/tex]
W = 333 meters, L = 233/2 meters
In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, what will the membership be in 2020?
Answer:
5563.85 But round the nearest whole number is 5564
Step-by-step explanation:
Formule is P=Ie^(r)(t)
If, In 2010 the Network Club membership was 2,500. With an annual growth rate of approximately 8%, compounded continuously, then 5563.85 is the population in 2022.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
In 2010 the Network Club membership was 2,500.
Annual growth rate of approximately 8%
8% is converted to decimal value by dividing 8 with 100
8/100=0.08
[tex]P=Ie^{rt}[/tex]
p is the final population
I is the initial population
[tex]p=Ie^{0.08(10)}[/tex]
[tex]p=2500e^{0.8}[/tex]
p=5563.85
Hence, 5563.85 is the population in 2020.
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simplify the following expression
(16a10)(-3a) =
Answer: Answer= 480a^2
Step-by-step explanation
1. remove the parentheses =-16a*10*3a
2. Multiply the numbers 16*10*3= 480
3. Apply exponent rule =aa=a^1+^1 = -480a^1+^1
Answer= 480a^2
Find x, AB, BC, AC if △ABC is isosceles with AB = BC.
Step-by-step explanation:
Since we are not given the required parameters, we can use the following parameters
Given:
∠ A = 5 x + 30 °
∠ B = 2 x
Since △ABC is isosceles with AB = BC, then ∠ A = ∠ C (the base angles of an isosceles triangle are equal)
Since sum of angle in a triangle are the same, then;
∠ A + ∠ B + ∠ C = 180°
Substitute the given functions and get x;
5x+30 + 2x + 5x+30 = 180
12x + 60 = 180
12x = 180-60
12x = 120
x = 120/12
x = 10°
∠ A = 5x+30
∠ A = 5(10)+30
∠ A = 80°
Since ∠ A =∠ C
∠ C = 80°
For ∠ B;
∠ B = 2x
∠ B = 2(10)
∠ B = 20°
Let AB = 1, since AB = BC, BC = 1
To get AC, use the sin rule;
a/sin∠ A = b/sin∠ B
a/sin80 = 1/sin20
asin20 = sin80
a = sin80/sin20
a = 0.9848/0.3420
a = 2.879
Hence AC ≈ 3
Note that the values of the sides and angles are assumed.