The original equation: y = |x - 1| + 7
The new equation: y = |-x - 1| + 8
Deon bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $250 less than the desktop. He paid for the computers using
two different financing plans. For the desktop the interest rate was 9% per year, and for the laptop it was 6% per year. The total finance charges for one year
were $300. How much did each computer cost before finance charges?
Answer:
300
Step-by-step explanation:
Let x = cost of desktop computer; then x - 250 = cost of laptop computer
converting % to decimals, 9% = 0.09 and 6% = 0.06
Then, 0.09x + (x - 250)0.06 = $300
0.09x + 0.06x - 15 = $300
0.15x = $315
x = $2100
then x - 250 = $1850
Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300
At a carnival 7 out of 10 pepole order hotdogs if there is 90 pepole at the carnival how many of them did not order a hotdog
Answer:
20 people did not order hotdogs
Step-by-step explanation:
if there is 90 people and 7 must represent 70 / 90
Find the Slope using the Slope Formula
Answer:
Slope = -1
Step-by-step explanation:
Given coordinates,
→ x1 = -2
→ y1 = 1
→ x2 = -3
→ y2 = 2
Now we have to,
→ Find the slope using slope formula.
Formula we use,
→ Slope (m) = (y2 - y1)/(x2 - x1)
Let's find the required slope,
→ m = (y2 - y1)/(x2 - x1)
→ m = (2 - 1)/(-3 - (-2))
→ m = (2 - 1)/(-3 + 2)
→ m = 1/(-1)
→ [ m = -1 ]
Hence, the value of slope is -1.
your cell phone plans costs$34.99 per month plus $0.11 for each text message you send or receive you have at most $40 to spend on your cell phone bill what is the maximum number of text messages that you can send or receive next month ?
The maximum number of text messages that you can send or receive next month Next month, you can send or receive up to 45.54 text messages in total.
What is maximum in mathematics?In mathematics, a point at which a function's value is greatest. If the value is greater than or equal to all other function values, it is an absolute maximum. If it is merely greater than any nearby point, it is a relative, or local, maximum
Considering the information provided;
Given that the monthly expense is $34.99
and $0.11 for each text as well (sent or received)
Suppose y is the whole cost.
Set x as the quantity of text.
The test messages make up the difference between the cost of the plan and the $40 you must spend, which is represented by the equation
4034.99=5.01
in the model for the overall cost,
y=34.99+0.11x.
Count the number of messages you can send, you must divide.
5.01÷0.11
=45.54
The maximum number of messages is 45
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A triangle is placed in a semicircle with a radius of 5 yd, as shown below. Find the area of the shaded region.
Use the value 3.14 forn, and do not round your answer. Be sure to include the correct unit in your answer.
is yd please help
Answer:
14.25 yd^2
Step-by-step explanation:
The triangle area is given by the formula ...
A = 1/2bh
Here, the base is 10 yd, and the height is 5 yd, so ...
triangle area = (1/2)(10 yd)(5 yd) = (5 yd)^2 = 25 yd^2
__
The semicircle is half the area of a circle with radius 5 yd, so its area is ...
semicircle area = (1/2)π(5 yd)^2 = 12.5π yd^2 ≈ 39.25 yd^2
__
The shaded region is the difference between these areas:
shaded area = 39.25 yd^2 -25 yd^2 = 14.25 yd^2
4. How did railroads change where people lived?
The railroads changed people life
Answer:
It made commerce possible on a vast scale. In addition to transporting western food crops and raw materials to East Coast markets and manufactured goods from East Coast cities to the West Coast.
Step-by-step explanation:
Answer:
There are multiple reasons, it made it easier to get new places to live instead of in a wagon or by foot. (in case there is more to the question) helped people and stuff needing to be transported get there quicker and easier. Building the railroads gave people jobs who need it to take care of them and there family.
Step-by-step explanation:
100 POINTS!! ASAP - Pls Show all WORK
Answer:
x ≈ 28.7 ft
Step-by-step explanation:
Step 1: Define variables
Height (vertical leg of triangle) = 2 ft
∅ = 4°
We are trying to find the length of the hypotenuse x
Step 2: Use trig
sin∅ = opposite over hypotenuse
sin4° = 2/x
Step 3: Solve for x
xsin4° = 2
x = 2/sin4°
x = 28.6712
x ≈ 28.7 ft
Answer:
the Length of ramp is 28.7 feet.
Step-by-step explanation:
see attached image for clarity
give:
height (h) of clinic = 2 feet
angle of ramp = 4°
find:
Length (L) of ramp
using the formula : sin(Ф) = height (h)
Length of ramp (hypothenuse)
plugin values into the formula:
sin (4) = 2
L
L = 2
sin(4)
L = 28.7 feet
therefore,
the Length of ramp is 28.7 feet.
If 40% of a number is 32, find 10% of that number.
Answer:
8
Step-by-step explanation:
5x+2=3x+6 what does x equal?
Answer:
x=2
Step-by-step explanation:
every square root is a rational number true or false
Answer:
False
Step-by-step explanation:
The principal square root of most numbers is an irrational number with an infinite decimal expansion.
Not every square root is irrational but the statement says EVERY so false.
Hope I helped!
Please label mine as brainliest!
Answer:
False
There can be irrational numbers too. Complex, even. Also, Imaginary.
You will add numbers that are relevant to your life and then find the square root of that sum in simplified radical form. Find the sums of: A. All of the ages of the people in your household. B. All the digits in your telephone number, including the area code. C. All of the letters in your first name if you let a
Step-by-step explanation:
A. Dad = 50, Mum = 47, Sister = 22
me = 19
Total Sum = 50 + 47 + 22 + 19
= 136
√136 = 11.662.
B. + 1435 797 202 = 40
√40 = 6.33
C. BRYAN = 2 + 18 + 25 + 14 = 59
√59 = 7.68.
9. Which of the following is NOT written in scientific notation? O 32.78103 O 1.272103 4.7x103 3.75x10
Answer:
32.78103
Step-by-step explanation:
as far as I know it would be 3.278103 times whatever
Answer:
the answer is 32.78103
Step-by-step explanation:
Scientific notation is when the number is more than 1 but less than 10 and the 32 is more than 10.
PLZ FAST I DONT WANNA DIE
Answer:
x=15
Step-by-step explanation:
<GCB=180-5x
<EBA=9x
<DAC=8x
The sum of the three exterior angles equals 360.
(180-5x)+9x+8x=360
180-5x+9x+8x=360
-5x+9x+8x=360-180
12x=180
x=15
What is the simplified value of the expression below?
8(9.75-3.25)+ 12x4
100
O 152
256
O 347
Answer:
100
Step-by-step explanation:
=(8)(6.5)+(12)(4)
=52+(12)(4)
=52+48
=100
use picture or words to explain how you could find the sum of 7+7
Step-by-step explanation:
The sum of is of seven plus seven is 14. 7 orange fish and 7 blue fish equal 14 fishes in total.
Give the five number summary. A student servey asked, how tall are you ( in inches)?" here's the data: 64, 72, 73, 60, 65, 86, 72, 69, 74
Answer:
Step-by-step explanation:
The five number summary will be the mean, median, interquartile range, minimum value and the maximum value.
Mean is the average of the data. It is the sum total of the numbers divided by the total number.
Mean = 64+72+73+60+65+86+72+69+74/9
Mean = 635/9
Mean = 70.6inches
Median is the middle value after rearrangement. Re-arrangement can be either in ascending or descending order of magnitude.
On re-aaranging
60, 64, 65, 69), 72, (72, 73, 74, 86
It can be seen that the number at the middle is 72, hence the median data is 72inches
Maximum value is the highest number in the data given. The highest number is 86 according to the data.
Minimum value is the lowest number in the data given. The lowest number is 60 according to the data.
Interquartile range is the difference between the upper quartile sand the lower quartile. Quartiles divides the data into four equal parts
IQR = Q3-Q1
Q3 is the upper quartile
Q1 is the lower quartile
Q1 is the median of the upper part of the dataset i.e 86, 72, 69, 74
Q1 = 72+69/2
Q1 = 70.5
Q1 is the median of the lower part of the dataset i.e 64, 72, 73, 60
Q3 = 72+73/2
Q3 = 72.5
IQR = 72.5-70.5
IQR = 2.0
Hence the five numbers are 70.6, 72, 86, 60 and 2.0
4/3y = 16 solve for y
Answer:
y=12
Step-by-step explanation:
First we should rewrite the left side to look like
4y/3=16
Then multiply 3 to both sides
4y=48
Now divide by 4
y=12
The equivalent value of the expression is y = 12
Given data ,
Let the equation be represented as A
Now , the value of A is
( 4/3 )y = 16
On simplifying the equation , we get
( 4/3 )y = 16
So , the left hand side of the equation is equated to the right hand side by the value of ( 16 )
Divide by 4 on both sides , we get
( 1/3 )y = 16/4
( 1/3 )y = 4
Multiply by 3 on both sides , we get
y = 4 x 3
On simplifying , we get
y = 12
Therefore , the value of y = 12
Hence , the expression is y = 12
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Help ASAP
Find the Distance between (5,2) and (-3,-4)
Answer:
[tex]d = 10[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in your 2 coordinates into the formula to find distance d:
[tex]d=\sqrt{(-3-5)^2+(-4-2)^2}[/tex]
[tex]d=\sqrt{(-8)^2+(-6)^2}[/tex]
[tex]d=\sqrt{64+36}[/tex]
[tex]d=\sqrt{100}[/tex]
[tex]d = 10[/tex]
what is the opposite of the opposite of 8
Answer:
8
Step-by-step explanation:
The opposite of the opposite of 8 is just 8
Answer:
-8
Step-by-step explanation:
the opposite of 8 is -8 because of positive and negative numbers
How many liters each of a 30% acid solution and a 50 % acid solution must be used to produce 70 liters of a 40 % acid solution? (Round to two decimal places if
necessary.)
Answer:
30%: 35 liters
50%: 35 liters
Step-by-step explanation:
The desired concentration is halfway between the concentrations of available solutions, so the mixture will be equal amounts of each.
35 liters of 30% acid and 35 liters of 50% acid must be used
_____
If you want to write an equation, it usually works well to let the variable represent the amount of the most concentrated constituent: 50% acid. Then the amount of acid in the final mix is ...
0.50x +0.30(70 -x) = 0.40(70)
0.20x +21 = 28 . . . . simplify
0.20x = 7 . . . . . . . . . subtract 21; next, divide by 0.20
x = 35 . . . . . . amount of 50% solution (liters)
70-x = 35 . . . amount of 30% solution (liters)
A customer at a Mexican diner placed an order for 3 burrito bowls. He also ordered 2 plates of corn tacos at $12.96 each. He was billed
a total of $45.42.
Answer:
$6.05 for each burrito bowl
Step-by-step explanation:
12.96+12.96=25.92
45.42-25.92= 19.5
19.5/3= 6.5
Consider the expression 2 3 (14x − 3) − 3x( 4 5 + 5). Which statements are true about simplifying this expression? Check all that apply. Using the distributive property, the Two-thirds would be multiplied to 14x and to –3. Combining Four-fifths + 5 can be done before multiplying it by 3x. Using the distributive property, 3x times Four-fifths is subtracted, but the 3x times 5 is added. Combining 14x – 3 can be done before multiplying by Two-thirds. Subtracting 3x is the same as adding –3x.
Answer:
1. using the distributive property, the two-thirds would be multiplied to 14x and to –3. 2. combining four-fifths + 5 can be done before multiplying it by 3x. 3. subtracting 3x is the same as adding –3x. (A, B, & E)
Step-by-step explanation:
just finished this lesson lol
Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.
Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.
What is an Expression?An expression is a mathematical statement consisting of variables, constants, and mathematical operators.
The expression is
[tex]\rm \dfrac{2}{3} (14x -3) - 3x( \dfrac{4}{5} +5)[/tex]
Applying Distributive Property
[tex]\rm \dfrac{2}{3} * 14x - \dfrac{2}{3} *3 - 3x * ( \dfrac {4 + 25}{5})[/tex]
Therefore, Using the distributive property, the Two-thirds would be multiplied to 14x and to –3.
Combining Four-fifths + 5 can be done before multiplying it by 3x. The correct option is A and B.
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What temperature is 24° warmer than-12 °C?
Answer:
12 °C
Step-by-step explanation:
x = -12 + 24x = 12 °C12 °C is 24°C warmer than -12°C
1/5(x)( 5/1)=6/3(5/1) What is the value of the x?
Answer:
The value of x would be 10. I hope this helped :)
Answer:
10
Step-by-step explanation:
on the left side 1/5 and 5/1 time each other is 1. Which means the x is already alone. On the right 6/3 times 5/1 is 10. So x = 10.
A teacher earns 32500 per year if 33% of her income is withheld for taxes, how much money is withheld for taxes
Answer:
$11,357 is withheld for taxes
what is the formular for 1+4+16+64+256
Answer:
341
Step-by-step explanation:
1+4=5
5+16=21
21+64=85
85+256=341
Help me please not good at math
Answer: I think option A
Step-by-step explanation:
twice the difference if a number A and 7
Answer:
-Twice means muliply by 2
-The difference of a number and 7 means subtract a number/variable and 7.
-Is equal to 9 means =9
2(X - 7) = 9
Is(0,-2) a solution of x+y=6
Answer:
no
Step-by-step explanation:
x+y=6
Substitute the point into the equation and see if it is true
0 + -2 = 6
-2 =6
This is not true so the point is not a solution
Answer: No
Step-by-step explanation:
To see if (0.-2) is a solution of x+y=6, we can plug it in and solve.
0+(-2)=6 [add]
-2≠6
Since -2 does not equal 6, we know that (0,-2) is not a solution.
Point C divides AB into two segments with lengths that form which ratio?
А с B
HH
15 20 25 3035
AHH
Answer:2:3
Step-by-step explanation: