Michelle says that the solution to the inequality 2(4y-3) > -22 is y > -3.5.
what was her mistake. What is the solution to the inequality.
Answer:
The solution of the given inequality is y>-2.
Step-by-step explanation:
The given inequality is :
2(4y-3) > -22
Using distributive property on LHS of the above inequality.
8y-6 >-22
Add 6 both sides of the inequality
8y-6+6 >-22+6
8y>-16
y>-2
So, the value of y is more than -2.
Independent Practice
In 2002, the price of mailing a letter was $.34 for the first ounce or part of an ounce and $.21 for each ounce or part of an ounce after the first ounce.
Write a rule to describe the function. How much did it cost to mail a 4-ounce letter?
A.
f(x) = 0.21(x – 1); $.63
B.
f(x) = 0.34 + 0.21x; $1.18
C.
f(x) = 0.34 + 0.21(x – 1); $.97
D.
f(x) = 0.34x + 0.21(x – 1); $1.99
Answer:
C.
f(x) = 0.34 + 0.21(x – 1); $.97
Step-by-step explanation:
In 2002, the price of mailing a letter was $.34 for the first ounce and $.21 for each ounce after the first ounce. Write a rule to describe the function.
---------------------------------------
Price = 0.34 + 0.21(x-1) where x is the weight of the item in ounces.
Let +x+ = weight of the letter in ounces
Let +P+ = the price of mailing the letter in dollars
---------------------------------------
+P+=+.34+%2B+.21%2A%28+x+-+1+%29+
( +x+%3E=+1+ )
-----------------------------
A 4-ounce letter costs
+P+=+.34+%2B++%28+4+-+1+%29%2A.21+
+P+=+.34+%2B+.63+
+P+=+.97+
It costs $.97
apples are on sale for 5 for $3, how much does one apple cost?
I need help please I would be happy
7384(x)748 (8967-888)
Answer: [tex](x,y) \to (4x,4y)[/tex] which is choice (3)
======================================================
Explanation:
The general transformation of [tex](x,y) \to (kx,ky)[/tex] describes a dilation with scale factor k. If k is not equal to 1, then the resulting image will not be the same size as the preimage.
In this case, k = 4. This means that the resulting image has its side lengths 4 times greater compared to the preimage side lengths. For example, if a side length is 5 units long in the preimage, then its corresponding length in the image is 5*4 = 20 units long.
If this is enlargement applied to all sides, then the perimeter also goes up by the same scale factor (since the perimeter is the sum of all exterior sides). The image perimeter will be four times that of the preimage perimeter.
In summary, if you apply a dilation (where k is not equal to 1), then the perimeter will change. If k > 1, then the perimeter gets larger. If 0 < k < 1, then the perimeter will shrink.
----------------------
Extra info:
Choice (1) describes a reflection over the line y = xChoice (2) is a reflection over the x axis.Choice (4) describes a translation of 2 units to the right and 5 units down.The transformations of reflections, translations, and rotations all are considered rigid transformations. This means that they keep the same size and shape. You can imagine the camera is moving around in some way and the shapes stay still (but give the illusion of movement). In other words, rigid transformations will keep the perimeter the same. Because of this, we can rule out choices (1), (2) and (4).A satellite orbits in an elliptical path such that the Earth's center is one of the foci of the ellipse. The distance from the center of the orbit to the Earth's center is 4,100 miles. The foci are halfway between the center and the major axis vertices. Which equation can be used to model the path of this satellite's orbit?
Answer:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Step-by-step explanation:
The equation of the ellipse with centre at origin and major axis along the x-axis is:
[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]
Where 2a is the length of the major axis and 2b is the length of the minor axis. The following equation shows the relationship between the foci (c), major axis and minor axis:
a² = c² + b²
Since the earth center is one of the foci of the ellipse with distance from the center of the orbit to the Earth's center is 4,100 miles. Therefore the foci is at (4100, 0).
Hence c = 4100
Also, The foci are halfway between the center and the major axis vertices. Therefore the distance between the center and the major axis vertices (a) is twice the distance from the center of the orbit to the Earth's center.
a = 2c = 2(4100) = 8200 miles
We can get the distance from the center to the minor axis vertices (b), using:
a² = c² + b²
8200² = 4100² + b²
b² = 8200² - 4100²
b² = 50430000
b=√50430000
b = 7101.4 miles
The ellipse equation is:
[tex]\frac{x^2}{8200^2} +\frac{y^2}{7101.4^2}=1[/tex]
Answer:
[tex]\frac{x^{2} }{67,240,000}+\frac{y^{2} }{50,430,000} =1[/tex]
Step-by-step explanation:
A grocery store sells tangerines in 25 kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy?
1. Select all equations that represent the situation.
A 4⋅25=?
B ?⋅25=4
C 25÷4=?
D 4÷25=?
E ?÷25=4
Answer:
D) 4/25
But didn't he have to buy at least the whole 25 KG bag?
Step-by-step explanation:
Find the measure of angle b
Answer:
b = 116⁰
we have:
b + 64⁰ = 180⁰
<=> b = 180⁰ - 64⁰
<=> b = 116⁰
Trista has 7/8 of a yard of ribbon to use for making decorative frames . If you frame used 5/6 of a yard of ribbon , then how much is remaining
Answer:
[tex]\dfrac{1}{24}\ \text{yard}[/tex]
Step-by-step explanation:
Amount of ribbon Trista had is [tex]\dfrac{7}{8}\ \text{yard}[/tex]
Amount of ribbon used in the frame [tex]\dfrac{5}{6}\ \text{yard}[/tex]
Amount of ribbon remaining is
[tex]\dfrac{7}{8}-\dfrac{5}{6}=\dfrac{21-20}{24}[/tex]
[tex]=\dfrac{1}{24}\ \text{yard}[/tex]
The amount of ribbon remaining is [tex]\dfrac{1}{24}\ \text{yard}[/tex].
Solve for x
[tex] {5}^{x} = 200[/tex]
TRIANGLE CONGUENCE
I need help on a and b please ASAP if u can am failing math please help if u can
Step-by-step explanation:
John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *z decreased by 3 as an algebraic expression is *How many terms does the following expression contain? 2x + 5y - 5State the value of 9x - 3y if x=2 and y=3 *State the constant in the expression: ab + 5 - 2c *
Your answer
State the variable in the expression: 5p + 3 *Tanya is n years old today. How old will she be in 5 years?16 more than thrice m as an algebraic expression is *State the coefficient in the expression: 3x - 7 *
Your answer
State the value of ab if a=3 and b=5 *State the value of 9x - 3y if x=2 and y=3 *John and his 3 friends decide to order food. The cost of one box of food is $x. If each boy purchases one box of food, what is the total cost? *Vertical jumpHead turning
Marsha made a wreath for her front door. The diameter of the wreath is 12 inches.
What is the circumference of the wreath?
Determine the equation of the tangent to x− 3x +1 at the point (3,1)
9514 1404 393
Answer:
y = 3x -8
Step-by-step explanation:
We assume you want the tangent to the parabola y = x² -3x +1 at the given point. The slope is found using the derivative of the function at that point.
y' = 2x -3
At x=3, the slope is ...
y' = 2(3) -3 = 3
The equation of the line through point (3, 1) with a slope of 3 is ...
y -1 = 3(x -3) . . . . use the point-slope form of the equation for a line
y = 3x -9 +1 . . . . . eliminate parentheses, add 1
y = 3x -8
evaluate : ( -3/4 ) 2 pls and thank youu
Answer:-1.5
Step-by-step explanation:
First, -3/4 = -0.75
Second, -0.75 divided by 2 is -1.5
What is the name of the angle pair for <2 and <4?
1
4
2.
Vertical Angles
O Corresponding Angles
Linear Pair
O Supplementary
Vertical angles. hope it helps.
Answer:
Vertical angles.
Step-by-step explanation:
Angles 4 and 2 have the same angle measure and angles 1 and 3 have the same angle measure. This happened because the lines intersected each other.
where does 0.3 be placed in the Venn Diagram?
Answer:
fondo
Step-by-step explanation:
Answer:
in the middle of venn diagram
Step-by-step explanation:
-6(3x + (-4y)) Simplify.
Answer:
−18x+24y
Step-by-step explanation:
sorry if its wrong
5. Hey what is n divided by 2
Answer:
[tex]\frac{n}{2}[/tex]
Find the sum using fraction bars or a paper and pencil. Write your answer in simplest form. 5/6 + 3/9
₁ 1/6
21/18
8/15
₁ 4/9
The tiny numbers are the whole numbers
Help me asap please
⇔ω⇔
ФωФ
Answer:
8/15 bc im beautiful
Step-by-step explanation:
Answer:
imma need my points back
Step-by-step explanation:
Help asap!! (i’ll give u brainliest)
Answer: 3
Step-by-step explanation:
HELP I NEED HELP ASAP
Answer:
D should be the anwser if i did my math correctly!
What is the surface area of the cylinder with height 4 m and radius 2 m? Round your answer to the nearest thousandth.
Answer:
75.398 m²Step-by-step explanation:
[tex]A=2\cdot\pi R^2+ 2\pi R\cdot H\\\\H=4\,m\\R=2\,m\\\\A=2\cdot\pi\cdot 2^2+2\pi \cdot2\cdot4=8\pi+16\pi=24\pi=75.398223....\approx75.398\ m^2[/tex]
what is the common ratio between 63, 21, 7?
Answer:
3
Step-by-step explanation:
7*3=21
21*3=63
Hope this helps.
Answer:
decreasing by a multiple of 3
Step-by-step explanation:
7x3=21, 21x3=63.
I think this is the answer! or I hope this helps a bit. have a good day or night!
Saffron is one the most expensive spices in the world. Ms. Patel pays $123.51 for 2.3 grams of saffron. What is the price per gram?
Scroll down for answer!
Step-by-step explanation:
123.51/2.3 = 53.7
Two options = 53.7 or 53.1
What is the answer to (a²)(a⁵)(a⁷)
Answer:
The answer would be a^70
Step-by-step explanation:
Hope this helped!! If it is wrong please tell me and I will re-check my answer. :)
I don’t now how to do it please help
The soccer club held a spaghetti dinner. They sold 39 child tickets for $3.75 each and 27 adult tickets for $5.95 each. The amount for 11 child tickets was refunded. Estimate the amount of income received by the soccer club.
Answer:
265.65
Step-by-step explanation:
(3.75*39)+(27*5.95)-(11*3.75) = 265.65
2x + 3 + 4x + 6 + 12x + 18 = 477
Please answer with solving steps. Thanks guys :)
Answer:
x= 25
Step-by-step explanation:
2x + 3 + 4x + 6 + 12x + 18 = 477
FIRST combine like terms
take all "x"
2+4+12= 18x
take all whole numbers
3+6+18= 27
18x+27= 477
now solve for x
-27 on both sides
18x= 450
÷18 on both sides
x= 25
yoi have to add the variables so 2x +4x+12x=18x and concombine like terms so 3 +6+18=27 so you have to put tbat together 18x+27=477 then you have to get x alone so you have to subtract 27 in both sides 27-27=0 then 477-27=450 then you have to do the oppsite of multiply so you have to divide 18x/18x and 450/18x 18÷18 is 1 so you just have to put x and then divide 450÷18=25 so x=25.
Find profit percentage when S.P. of the article is Rs. 560 and C.P. is Rs. 500,with process
Answer:
first find the profit
profit % is the profit over CP times 100
Suppose you deposited $100 in a savings account 4 years ago. The simple interest rate is 2.9%. The interest that you earned in those 4 years is $11.60. Which of the following is/are true?
A. t=4
B. p=2.9%
C. I=11.60
D. r=100
Answer:
T=4
l=11.60
Step-by-step explanation:
T is for time,and time given is 4.
so t=4 years
and Interest given is 11.60 bucks
so I=11.60
keep in mind that PRINCIPAL IS NEVER A PERFENTAGE!
RATE IS ALWAYS A PERCENTAGE!
Here, principal is 100 bucks and rate is 2.9%
also keep in mind that principal isnalways greater than interest.
thank you
What is the percent change of 16 to 44.2?