Answer:
x = 1 ⇔ y = -2.4
x = 2 ⇔ y = -1.8
x = 3 ⇔ y = -1.2
x = 4 ⇔ y = -0.6
Step-by-step explanation:
[tex]3x-5y=15[/tex]
→ Rearrange to make y the subject
[tex]-5y=-3x+15[/tex]
→ Multiply everything by -1
[tex]5y=3x-15[/tex]
→ Divide everything by 5
[tex]y=0.6x-3[/tex]
⇒ Substitute x = 1, 2, 3 and 4
[tex]y=0.6x-3\\ y=(0.6*1)-3\\ y=0.6-3\\ y=-2.4\\(1,-2.4)[/tex]
[tex]y=0.6x-3\\ y=(0.6*2)-3\\ y=1.2-3\\ y=-1.8\\(2,-1.8)[/tex]
[tex]y=0.6x-3\\ y=(0.6*3)-3\\ y=1.8-3\\ y=-1.2\\(3,-1.2)[/tex]
[tex]y=0.6x-3\\ y=(0.6*4)-3\\ y=2.4-3\\ y=-0.6\\(4,-0.6)[/tex]
Which is the best description for the graph?
Answer:
decreasing, then increasing. the parabola decreases as it approaches the vertex, then increases afterward
"An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. Suppose that the mean income is found to be $20.3 for a random sample of 2333 people. Assume the population standard deviation is known to be $11.3. Construct the 98% confidence interval for the mean per capita income in thousands of dollars. Round your answers to one decimal place."
Answer: ($19.8, $20.8)
Step-by-step explanation:
Confidence interval for mean : [tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex] , where [tex]\overline{x}[/tex] = Sample mean, n= sample size, [tex]\sigma[/tex] = population standard deviation, z* = two tailed critical z-value.
Given: [tex]\overline{x}[/tex] = $20.3
n= 2333
[tex]\sigma[/tex] = $11.3
For 98% confidence, z* = 2.326
Then, the98% confidence interval for population mean will be:
[tex]20.3\pm (2.326)\dfrac{11.3}{\sqrt{2333}}\\\\=20.3\pm (2.326)\dfrac{11.3}{48.3011387}\\\\=20.3\pm (0.544165224825)\\\\\approx 20.3\pm 0.5\\\\=(20.3-0.5,\ 20.3+0.5)\\\\=(19.8,20.8)[/tex]
Hence, the 98% confidence interval for the mean per capita income in thousands of dollars = (19.8, 20.8)
Zales was having a 60% off sale on all rings. Also if you shopped on Wednesdays, you got an extra 10% off. How
much would a $899.00 ring cost on Wednesday?
(Round to the nearest penny and label your answer $).
Answer:
it will be 199.00 dollors you have to spend
Step-by-step explanation:
899.00-70
9=2m+2-3
please tell me what dis is
Answer:
m=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Step 1:
9 = 2m + 2 - 3 Equation
Step 2:
9 = 2m - 1 Combine Like Terms
Step 3:
10 = 2m Add 1 on both sides
Step 4:
m = 10 ÷ 2 Divide
Answer:
m = 5
Hope This Helps :)
If the area of the base of the box is 112 square inches and the height is 3.5 inches, what is the volume of the box?
Answer: uh i think its 392 inches squared
Step-by-step explanation:
The volume of the box whose area is 112 inch² and height 3.5 inch is
392 inch³
What is the Volume of a Rectangle?
The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle
Volume of Rectangle = Length x Width x Height
Volume of Rectangle = Area of Rectangle x Height
Given data ,
The area of the box = 112 inch²
The height of the box = 3.5 inch
Now , the volume of the box is given by the equation
Volume of the box = Area of the box × Height of the box
Volume of the box = 112 inch² x 3.5 inch
Volume of the box = 392 inch³
Therefore , the volume of the box is 392 inch³
Hence , the volume of the box whose area is 112 inch² and height 3.5 inch is 392 inch³
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What is the unit rate for meters per second if a car travels 414 meters in 23 seconds?
Answer:
18 meters per second
Step-by-step explanation:
414/23=18
Not trying to be rude but you should know how to do this with or without a calculator
Julie had $150. She needed to spend $3.00 for lunch every day. How much money will she have left after 20 days? Please help it's hard
Answer:
$90 left after 20 days
Step-by-step explanation:
She starts out with 150, right?
She spends $3 each day x 20 days = 60
150 - 60 = 90
Hope this helps! :')
Answer:
multiply 3.00 times 20 and you'll get 60.00 subtract that from 150 and your answer is 90.00 dollars
Rewrite it as a function and isolate Y.
Answer: y= -2x + 12
or f (y ) = 6 - [tex]\frac{y}{2}[/tex]
Step-by-step explanation:
just subtract the 2x to get the y alone
Determine the ordered pair that satisfies the equation, -5x - 6y = -8.
Answer:
-2&-4
Step-by-step explanation:
-5x-6y=-8
it is a quadratic equation:
-5x-6y+8=0
(x-2)(x-4)
cross multiple and you'll get
-5x-6y+8=0
How would you graph y = -4/9x + 6
9514 1404 393
Answer:
graph the y-interceptfind another point (down 4, right 9)draw the line through the 2 pointsStep-by-step explanation:
When the equation of a line is given in slope-intercept form, as this one is, it is usually convenient to make use of those values (intercept and slope).
Here, the y-intercept is 6. The slope is -4/9, which means the line goes down 4 units for each 9 units to the right.
The y-intercept is graphed at (0, 6). An additional point can be graphed at (9, 2). Then the line can be drawn through these points.
5624/6 with a remainder
Answer:
937.333
Step-by-step explanation:
Answer:
937.33 (rounded. Real answer: 937.333333)
Step-by-step explanation:
5,624 ÷ 6 = 937.33 (rounded since the real answer was: 937.333333)
a bag contains 12 blue marbles and 8 blue what is the ratio of blue to red
Answer:12:8 or 12 to 8 or u could do it in fraction form
A state makes license plates with five letters followed by one number with no repetitions of the letters permitted. How many different possibilities are there
Answer:
78936000 possible selections
Step-by-step explanation:
Given
Letters = 5
Digits = 1
Required
Possible number of selection.
Since the letters can't be repeated and there are 26 alphabets.
The first letter can be any of 26
The second = 25
The third = 24
The fourth = 23
The fifth = 22
The digit can be any of 0 - 9 (10 digits).
So.
The possible number of selection is.
Number = 26 * 25 * 24 * 23 * 22 * 10
Number = 78936000
How is the results?
Answer:
[tex]26^9[/tex]
Step-by-step explanation:
When you multiply powers with the same bases, you just add up the powers. In this case, it would be:
[tex]26\cdot28^8\\=26^1\cdot28^8\\=26^9[/tex]
What is is 7(-5v - 8)
Helppp me plssss! ASAP
Answer:
140 ft.
Step-by-step explanation:
first find the area of the rectangle
16 x 8 = 128
Area: 128
then find the area of the triangle
Base: 4
Height: 6
Area: 12
Then all u need to do is add
12 + 128 = 140
In the game of roulette, a wheel consists of 38 slots, numbered 0, 00, 1, 2, ..., 36. To play the game, a metal ball is spun around the wheel and allowed to fall into one of the numbered slots. The slots numbered 0 and 00 are green, the odd numbers are red, and the even numbers are black. To simulate outcomes from spinning the wheel, a researcher used the integer distribution to randomly generate 1000 numbers from 1 to 38, where 37 represents 0 and 38 represents 00.
Required:
a. What is the probability that the metal ball lands on green or red?
b. What is the probability that the metal ball does not land one green?
Answer:
hkkkkkkkkv
Step-by-step explanation:
khvvvvvvvvvvvvvvv
Can y’all help me on this one
What’s the answer?
Answer:
x = 2
Step-by-step explanation:
First translate the image into an equation using the key. Once you do that, your equation should look like this:
(x + x + x) + (-1 + -1 + -1 + -1 + -1) = (-x + -x) + (1 + 1 + 1 + 1 + 1)
________________________________
3x - 5 = -2x + 5
(given)
________________________________
3x - 5 = -2x + 5
+5. +5
(addition property of equality)
*cancel out -5 on the left hand side, and isolate it from x by adding +5 on each side*
__________________________
3x = -2x + 10
+2x +2x
(addition property of equality)
*cancel out the negative 2x, and isolate it from the constant term on the right hand side by adding 2x on both sides*
________________________________
5x = 10
÷5. ÷5
(division property of equality)
*divide by 5(GCF) on both sides to isolate
x by itself*
________________________________
x = 2
________________________________
If you want to test this solution, substitute this back into the equation.
x = 2 → 3x - 5 = -2x + 5. 3(2) - 5 = -2(2) + 5 = 6 - 5 = -4 + 5 = 1 = 1
In a chemistry class, 12 L of a 12% alcohol solution must be mixed with a 20% solution to get a 14% solution. How many liters of the 20% solution are needed?
4 liters of 20% solution are needed to get a 14% solution.
Suppose x liters of 20% solution is needed to get a 14% solution.
What is a solution?The solution is a homogenous mixture of two or more substances in relative amounts.
So, according to the question
Final concentration of solution = 14%
So, 12% of 12 + 20% of x = 14% of (12+x)
12*12/100 + 20*x/100 = 14*(12+x)/100
144 + 20x = 168 + 14x
6x =24
x=4
4 liters of 20% solution is needed to get a 14% solution.
Therefore, 4 liters of 20% solution is needed to get a 14% solution.
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1. What is the value of 125 - 34 + 7 x 3?
a.) 294
c. 112
b. 252
d. 70
Answer:
c
Step-by-step explanation
7x3=21
125-34=91
91+21=112
4
5
÷ 1
10
= ?
To solve this problem, ask the question
The quotient is .
Answer:
4.5
Step-by-step explanation:
I did 45/1 I and it's 45 then 45/10
If two different integers between 1 and 100 inclusive are chosen at random, what is the probability that the difference of the two numbers is 15
Answer: 17 / 990
Step-by-step explanation:
To obtain the probability of the question above :
Find the count of number pairs whose difference gives is 15 in the range (1 to 100).
Also find the count of all distinct number pair differences
Number pair which have a difference of 15 = 85
Total distinct number pair differences = 4950
Probability = required outcome / Total possible outcomes
P(difference of 15) = 85/4950 = 17/990
If an angle measuring 18 ° is bisected to form two new angles , what is the measure of each new angle ?
Answer:
9 degrees
Step-by-step explanation:
18/2=9
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Answer:
y = -3x - 8
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Step 1: Define
slope m = -3
y-intercept = -8
Step 2: Plug into equation
y = -3x - 8
The measures of two supplementary angles are in the ratio 1:3. What is the measure, in degrees, of the larger angle?
Sum of two angles that are supplementary = 180°
Ratios in which they have been given their measurement = 1 : 3
Total number of parts = 1 + 3 = 4
Each part = 180÷4 =
[tex]Each \: part = \: \frac{180}{4} [/tex]
Each part = 45°
Measure of smaller angle = 45 × 1 = 45°
[tex]Measure \: of \ \: the \: smaller \: angle \: = \: 45 \: × \: 1 \: = \: 45°[/tex]
[tex]Measure \: of \: \: the \: larger \: angle \: = \: 3 \: × \: 45 \: = \: 145° \: [/tex]
∴ The measure of the larger angle in degrees = 145° .
B. Solve the following Polynomials:
1. u³ + 64
Answer:
(4 + u)(16 – 4u + u2)
Step-by-step explanation:
64 + u3.
= 43 + u3.
= (4 + u)(42 – 4.u + u2).
= (4 + u)(16 – 4u + u2).
If n is the least two consecutive odd integers, which of the following represents the sum of the two integer?
Answer:2n+2
Step-by-step explanation:
There were some people on a boat 26 people got off the boat at the first harbor. 22 people got on the boat. Now there are 74 people on the boat. How many people were on the boat to begin with?
Answer:
78 people were on the boat to begin with.
Step-by-step explanation:
Moving backwards is the way to solve this question.
74 - 22 = 52
52 + 26 = 78
And to prove the answer is correct.....
78 - 26 = 52
52 + 22 = 74
Three people are traveling and need to exchange the currency of their native country
for the currency of the country they are visiting. Drag each exchange to the category
that shows the ratio of currencies in that exchange.
CLEAR
U.S. Currency Foreign
(in dollars) Currency
25.00
15.75
U.S. Currency
(in dollars)
73.00
Foreign
Currency
81.03
U.S. Currency
(in fllars)
20.00
Foreign
Currency
22.20
U.S. Currency Foreign
(in dollars) Currency
30.00 21.90
U.S. Currency
in dollars)
50.00
Foreign
Currency
36.50
1 U.S. dollar per 1.11
72 dollar
Australian dollar
tban
Answer:
Step-by-step explanation:
1. Exchange rate = 1 U.S. dollar per 0.9009 foreign currency
i. U.S. Currency (in dollars) = 73.00
Foreign currency = 81.03
ii. U.S. Currency (in dollars) = 20.00
Foreign currency = 22.20
2. Exchange rate = 1 U.S. dollar per 1.3699 foreign currency
i. U.S. Currency (in dollars) = 30.00
Foreign currency = 21.90
ii. U.S. Currency (in dollars) = 50.00
Foreign currency = 36.50
3. Exchange rate = 1 U.S. dollar per 1.5873 foreign currency
i. U.S. Currency (in dollars) = 25.00
Foreign currency = 15.75
4. Exchange rate = 1 U.S. dollar per 1.11 Australian dollar
i. U.S. Currency (in dollars) = 72.00
Equivalent Australian dollar = 72.00 x 1.11 = 79.92
Answer:
?
Step-by-step explanation:
As you can see, he uses one square for Stage 1, three squares for Stage 2 and six for Stage 3.
How many squares should he use for the sixth stage?
Answer:
21 squares
Step-by-step explanation:
1 = 1
2 = 3
3 = 6
The pattern follows squares use in the previous stage + new stage = squares use the new stage
Squares used in stage 2 = Squares used in stage 1 + stage 2
= 1 + 2
= 3 squares
Squares used in stage 3 = Squares used in stage 2 + stage 3
= 3 + 3
= 6 squares
Squares used in stage 4 = Squares used in stage 3 + stage 4
= 6 + 4
= 10 squares
Squares used in stage 5 = Squares used in stage 4 + stage 5
= 10 + 5
= 15 squares
Squares used in stage 6 = Squares used in stage 5 + stage 6
= 15 + 6
= 21 squares
4 = 10
5 = 15
6 = 21