Answer:
(a) (-1, -5)
Step-by-step explanation:
An ordered pair is a solution to an equation when using those x and y values makes the equation true. Here, the equation tells you the y-value is 4 less than the x-value. Of the choices offered, that is only true for ...
(x, y) = (-1, -5)
Please help, I understand how to do the first half of the problem, but don’t know how to solve for the second equation!!
an absolute value equation is always a twin equation in disguise, so
[tex]6|x-7|=48\implies |x-7|=\cfrac{48}{6}\implies |x-7|=8\implies \pm(x-7)=8 \\\\[-0.35em] ~\dotfill\\\\ +(x-7)=8\implies \boxed{x=15} \\\\[-0.35em] ~\dotfill\\\\ -(x-7)=8\implies x-7=-8\implies \boxed{x=-1}[/tex]
Help me to answer this pls
Answer:
1) Center = A → centermost point of a circle.
2) Radius = AB, AC → distance from centre to any point on the surface of the circle.
3) Diameter = BC → longest chord; distance from 1 point of the circle to another which passes through the centre of the circle.
4) Chord = IH → distance from 1 point on the circle to another.
5) Tangent = GF → external line which passes through only 1 point of the circle.
6) Secant = DE → external line which passes through 2 points on the circle.
Hope it helps ⚜
5. The cost per person to rent a chartered bus varies inversely to the number of people a who ride the bus. If 40 people pay $9.50 each to ride the chartered bus, what is the cost per person if only 25 people go?
the answers are
a. $24.50
b. $5.94
c. $15.20
d. $380.00
The cost per person for 25 people is 15.20
How to determine the cost per person?An inverse variation is represented as:
k = xy
Where:
k represents the proportionality constanty represents the cost per personx represents the number of personsSo, we have:
40 * 9.50 = 25 * y
Divide both sides by 25
y = 15.20
Hence, the cost per person for 25 people is 15.20
Read more about variation at:
https://brainly.com/question/6499629
#SPJ2
what is the sum of the interior angles of the polygon pictured below
Answer: 900 degrees
Step-by-step explanation:
The formula for the sum of the interior angles is (n-2)*180 where n is the number of sides.
In this case, there are 7 sides so the sum of the interior angles would be
(7-2)*180
= 5*180
= 900 degrees
What is another word for a dependent variable in science?.
it is sometimes called as response variable
Evaluate the following expression for a = 12 and b = 4 2a/2b
Answer:
3
Step-by-step explanation:
1. Substitute 12 for a and 4 for b in the equation: (2(12)) / (2(4))
2. Multiply: 24/8 = 3
Question 5 of 5
What is the solution to x - 3.5 = 6?
A. X = 9.5
B. X = 2.5
C. X = 29
D. * = 4.1
Santa sent Mrs. Claus $15 a month. What was the effect on his income in 4 months?
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 14% are pennies and 38% are dimes. There are 6 more nickels than pennies. How much money does the bag contain?
Answer:
$5.37
Step-by-step explanation:
Given the information, it will be easier to start with the pennies, dimes, and nickels and end with the quarters.
50 * 0.14 = P
50 * 0.14 = 7 pennies
50 * 0.38 = D
50 * 0.38 = 19 dimes
6 + P = N
6 + 7 = 13 nickels
50 - (P + D + N) = Q
50 - (7 + 19 + 13) = 11 quarters
(7 * 0.01) + (19 * 0.1) + (13 * 0.05) + (11 * 0.25) = 5.37
Please help.
-3k^2 x (4k^6)^3 (-7p^4) x (-8p^5)/2p^3
Answer:
( -3•28•7k20x2p12)
Step-by-step explanation:
(0-23p5)
0-(((((((3•(k2))•x)•((4•(k6))3))•(0-(7•(p4))))•x)•————————)•p3)
2
-23p5
Simplify —————
2
2.1 23 divided by 21 = 2(3 - 1) = 22
Granola bars cost 45 cents, gum cots 35 cents, and crackers cost 50 cents. Lauren buys two different items. She pays with a 1 dollar bill and receives 3 of the same type of coin as change what did Lauren buy, and what did she receive as change?
Answer:
A gum and a cracker
Step-by-step explanation:
She receive 3 of the same type of coin as change => the leftover change should be divisible by 3
If she buy a gum and a cracker, she would be leftover with 100 - (50+35) = 15 cents.
And that is divisible by 3, so we can conclude she bought a gum and a cracker.
Water flows through a pipe at a rate of 91 fluid ounces every 2.5 weeks. Express this rate of flow in cups per hour. Round your answer to the nearest hundredth. (HEELLPP)
Answer:
Step-by-step explanation:
First, we convert:
ounces to cupsweeks to hoursResult of conversion:
91 fluid ounces = 11.375 cups (1 cup = 8 ounces)2.5 weeks = 420 hours (1 week = 168 hours)To get the rate, we must divide the number of cups by number of hours
11.375 cups / 420 hours = 0.027 cups per hour = 0.03 cups per hour (approximated)
Hope that helps!
Find the point of intersection:
y=2x-3
x+y=15
Answer:
[tex](6, 9)[/tex]
Step-by-step explanation:
The point of intersection is also the solution to this system of equations.
We can solve this system using substitution:
[tex]x+y=15\\x+2x-3=15\\3x-3=15\\[/tex]
Add 3 to both sides:
[tex]3x=18[/tex]
Divide both sides by 3
[tex]x=6[/tex]
Then, substitute 6 for x to solve for y:
[tex]y=2x-3=2(6)-3=12-3=9[/tex]
Therefore the point of intersection is:
[tex](x, y)=(6, 9)[/tex]
a man sells an article at rs 600 and makes a profit of 1/5 of the selling price. calculate his profit percentage. Ans 25%
Answer:
The profit percentage is 25%.
Step-by-step explanation:
Solution :
Selling price = Rs. 600
Profit = 1/5 of the selling price
Profit percentage = ??
Profit = 1/5 of the selling price
600 × 1/5 = 120
Profit = Rs. 120
Cost price = Selling Price - Profit
= 600 - 120
= 480
Profit pecentage -
P% = (SP - CP)/CP × 100
= (600 - 480)/480 × 100
= 120/480 × 100
= 1/4 × 100
= 25%
Hence, the profit percentage is 25%.
Hannah has information about an object in circular orbit around Earth. MEarth = 6. 0 × 1024 kg G = 6. 67 × 10–11 StartFraction m Superscript 3 Baseline over kilograms times s Superscript 2 Baseline EndFraction. Rearth=6. 0 x 106 m Using the information given what does Hannah need in order to calculate the tangential speed of the orbiting object ? the mass of the orbiting object the distance of the orbiting object to Earth the orbital period of Earth the radius of Earth.
In order to calculate the tangential speed of the orbiting object Hannah need the distance of the orbiting object to Earth.
What is the tangential speed of the object?The tangential speed of an object is the linear component of the speed, which is moving in a circular path.
In terms of the gravitation constant, the tangential speed can be given as,
[tex]v=\sqrt{\dfrac{Gm}{r}}[/tex]
Here, {G} is the gravitation constant, (m) is the mass and (r) is the radius.
Hannah has information about an object in circular orbit around Earth.
The mass of the earth is.
[tex]m_E=6. 0 \times10^{24} kg[/tex]
The value of gravitational constant is,
[tex]G=6. 67\times 10{-11}\rm Nm^2/kg^2[/tex]
The radius of the earth is,
[tex]r_E=6. 0 \times 10^6 \rm m[/tex]
Here, only the distance of the orbiting object to Earth is need to find the tangential speed of the object.
Hence, in order to calculate the tangential speed of the orbiting object Hannah need the distance of the orbiting object to Earth.
Learn more about the tangential speed here;
https://brainly.com/question/4933588
Lim xich ma K/(4K^4+1)
Step-by-step explanation:
[tex](4 {k}^{4} + 1)[/tex]
STEP
1
:
Equation at the end of step 1
2^2 k^4 + 1
STEP
2
:
Polynomial Roots Calculator :
2.1 Find roots (zeroes) of : F(k) = 4k4+1
Polynomial Roots Calculator is a set of methods aimed at finding values of k for which F(k)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers k which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 4 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1,2 ,4
of the Trailing Constant : 1
Let us test ....
P Q P/Q F(P/Q) Divisor
-1 1 -1.00 5.00
-1 2 -0.50 1.25
-1 4 -0.25 1.02
1 1 1.00 5.00
1 2 0.50 1.25
1 4 0.25 1.02
Polynomial Roots Calculator found no rational roots
Final result :
4k4 + 1
angle ABE measures 180°. Find the measures of angle ABD and angle DBE.
3x + 5
2x + 10
B
Enter the correct answers in the boxes.
3x+5 + 2x+10 = 180
5x + 15 = 180
5x = 165
x = 165/5 = 33
angle ABD = angle CBE
angle CBE = 2x + 10 = 2(33) + 10 = 66+10 = 76
angle ABD = 76
angle DBE = angle ABC
angle ABC = 3x + 5 = 3(33)+5 = 99+5 = 104
angle DBE = 104
to confirm i didn't mess up
the sum of angles should be equal to 360
104*2 + 76*2 = 208 + 152 = 360
What is the area of the figure?
Answer:
31
Step-by-step explanation:
Look at the picture
2 - 1/4 in simplest form PLS HURRYYYY
Answer:
The answer is 1.75
Step-by-step explanation:
2-1/5 or (.25)
Electricity Bill
($)
Mean Temperature
(°F)
16
19
143
164
26
141
36
18
118
172
50
121
47
34
15
275
17
250
75
41
43
211
If the trend stays the same, how much should Gracie expect to pay for her energy bill when the
mean temperature for the next month is forecasted to be 10 °F?
Answer:
92.4°
Step-by-step explanation:
What is the value of b?
Answer:
b = 35
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2b - 13 + 2b - 11 + 2b - 6 = 180 , that is
6b - 30 = 180 ( add 30 to both sides )
6b = 210 ( divide both sides by 6 )
b = 35
How do you multiply 3/1 times 1/7
Answer:
multiply across
Step-by-step explanation:
3/1 × 1/7 = 3/7
4. John had twice as much money as Alice. Edwin had half of what Alice had. If John had $3168, how much did Alice and Edwin have altogether? Ans:
Answer:
If I did my math right your answer would be $2376
I really hope you get this right. I apologize if I'm wrong
Which situation can be represented by y = 6x?
Answer:
I believe it's the second one because it makes sense.
Step-by-step explanation:
I hope this helps you.
Given that (x + 2) is a linear factor of the polynomial x3 + 4x2 + x – 6, what are the other two linear factors?A. (x – 1) and (x + 3)B. (x + 1) and (x – 3)C. (x – 1) and (x – 3)D. (x + 1) and (x + 3)
The other two linear factors of the polynomial x³ + 4x² +x -6 are; Choice A: (x – 1) and (x + 3)
Polynomial divisionBy ling division of polynomials, it follows that the division of polynomial x³ + 4x² +x -6 by x +2 yields the quadratic expression;
x² + 2x -3.On this note, the factorisation of the quadratic expression above yields factors;
(x – 1) and (x + 3)Read more on factorisation of polynomials;
https://brainly.com/question/280849
who will win, maddy or cassie?
Answer:
ME
Step-by-step explanation:
ME BC IMA GOD!
Answer:
NAHHH ME FOR SURE
Step-by-step explanation:
I WILL BEAT U WITH MY NON EXSITENT MUSCELS
What type of number is
-15/3
Answer:
Rational
Step-by-step explanation:
Rational numbers can be reduced to a fraction
Irrational numbers cannot be reduced to a fraction
Whole numbers are positive numbers that are not decimal or fraction
Integers are all numbers that are not decimal or fraction
jake has 21 cups of flour . he will pour the flour into equally into 4 contianers . how many cups of flour wil be in each contianer
Answer:
5.25
Step-by-step explanation:
5.25 US cups in each container (5 cups 1/4 cup)
left side is off a polygon have length 5, 7, 8, 11 and 19 cm of a similar polygons is 75 cm find the lengths of the sides of large polygon
Answer:
df
Step-by-step explanation:
df
Answer:
7.5 , 10.5 , 12 , 16.5 , 28.5 are the sides of Larger polygon Step-by-step explanation: The sides of a polygon have lengths 5,7,8,11 and 19 cm Perimeter ...
Missing: left off
Step-by-step explanation:
thats it
400 as a
mixed number
Set the denominator as the highest number possible, 100.
[tex]\frac{400}{100}[/tex]
That is an improper fraction. Convert that to a mixed number.
[tex]\frac{400}{100} = 4[/tex]
Do the equation, 4 to the power of 2.
[tex]4^2 = 400[/tex]
Only for this case is 4 to the power of 2 accepted as a multidigit version of itself.
Therefore, your answer is 400.