Answer:
c = -4
Step-by-step explanation:
16 = 4 - 3c
subtract 4 from each side
16-4 = 4-4 - 3c
12 = -3c
Divide each side by -3
12/-3 = -3c/-3
-4 =c
A gallon of gas is currently $3.24. How much money will it cost to fill my tank, which is 19 gallons?
hurry quick
10 points
Answer:
61,56
Step-by-step explanation:
1 = 3,24 so 3,24 x 19 = 61,56
Stefan spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than $50?
⊝
Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of weeks Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account?
⊝
Stefan earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of $6.50. What is x, the balance that Stefan must have in his checking account in order to have an ending balance greater than $50 after interest and fees?
⊝
Stefan charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns to earn more than $50?
Answer: 40
Step-by-step explanation:50/1.25
i need helppppp really fast I just need you to check my answer please
Answer:
You are correct, the answer is D, 24 degrees
Step-by-step explanation:
First we know that a straight line is 180 degrees. We know that part of it is 156 degrees so that must mean that one side of the triangle is equal to 24 degrees (Subtract 180-156). That is one side.
Prove that if -5(x + 4) = 70, the x = -18. Write a justification for each step.
Step-by-step explanation:
Let's solve your equation step-by-step.
−5(x+4)=70
Step 1: Simplify both sides of the equation.
−5(x+4)=70
(−5)(x)+(−5)(4)=70(Distribute)
−5x+−20=70
−5x−20=70
Step 2: Add 20 to both sides.
−5x−20+20=70+20
−5x=90
Step 3: Divide both sides by -5.
−5x
−5
=
90
−5
x=−18
Answer:
x=-18
Step-by-step explanation:
-5(x+4)=70
x+4=-14
x=-14-4
x=-18
A weather balloon is launched in Texas from an altitude of 240 feet above sea level. If the balloon rises at a constant rate of 65 feet per
minute, which of the following equations could be used to find t, the time in minutes it will take the balloon to reach an altitude of 11,000
feet?
O A. 11,000 = 240t + 65
OB. 11,000 = 240 + 65t
O C. 11,000 = (040 + 65)
D. 11,000 = 65(t + 240)
Answer:
jdufzfdghfufuf I am girl Ibvggu u I am girl this is my first time doing this is my first time doing this is my first time doing this
Answer:
b I think.
Step-by-step explanation:
I chose the answer b because it goes up 65 feet per minute.
Mia has a $25 gift card for an online music store. She buys an album for $9.50 and wants to use the remaining money on the card to buy individual songs, which cost $1.25 each. Write and solve an equation to find the number of songs Mia can buy.
Answer:
12
Step-by-step explanation:
Answer:
Mia can buys 12.4 songs.
Step-by-step explanation:
25 - 9.50 = 15.50
15.50 : 1.25 = 12.4
What is the importance of function in real life?
Answer:
it's not important.........
Solve the following quadratic equation by using the quadratic formula.
-2x^2 - 3x + 4 = 0
(Answers are in photo)
10 points!!!
please explain how you got your answer.
Answer:
B. [tex]\frac{-3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]
Step-by-step explanation:
First, substitute the equation into the quadratic formula.
[tex]x=\frac{b+-\sqrt{(b^{2} )-4(a)(c)} }{2a}[/tex]
x=[tex]\frac{-3+-\sqrt{(3)^2-4(-2)(4)} }{4}[/tex]
Solve for x.
x= [tex]\frac{-3+-\sqrt{9+32} }{4}[/tex]
x=[tex]\frac{-3+-\sqrt{41} }{4}[/tex]
The answer is x= [tex]-\frac{3}{4}[/tex]±[tex]\frac{\sqrt{41} }{4}[/tex]
Write the equation in terms of x.
2x + a =p
½(10x - 18) - 13x = -2x + 7 - 6x
I linked a photo
Answer:
no solutions
Step-by-step explanation:
½(10x - 18) - 13x = -2x + 7 - 6x
Distribute
5x -9 -13x = -2x +7 -6x
Combine like terms
-8x -9 = -8x+7
Add 8x to each side
-8x -9 +8x = -8x+7+9x
-9 = 7
This is never true so there are no solutions
A batch of cookies calls for 3 3/4 cups of flour. Amelia is making two batches of cookies. How many cups of flour will she need?
Answer:
7 2/4 or 7 1/2
Step-by-step explanation: You can add the 3 3/4 to 3 3/4 or mutlipy 3 3/4 by 2 because you need to find the number of 2 batches.
10. Translate the triangle 4 units right
and 3 units down. What are the
coordinates of the image?
Answer:
J(4,0)
K(4,-2)
L(0,-2)
Step-by-step explanation:
4 units right means x+4. now find the coordinates and add 4 to each coordinate's x.
3 units down means y-3. now find the coordinates and take 3 from each coordinate's y.
if it is unclear or you need more explanation, ask freely.
In a class of 30 students 60% said they walk to school.
A) estimate how many students in the class walk to school.
B) write a proportion that you could use to determine the number of students in the class who walk to school.
C) solve your proportion. Check that your answer is reasonable.
Answer:
a) 18
b) 18 : 12
c)3 : 4
Step-by-step explanation:
a) 30 × [tex]\frac {60}{100}[/tex]
= 18 students walk to school
b) No. of students No. of students
who walk to school : who walk to school
18 : 12
c)
18 : 12
=18/6 : 12/3
=3 : 4
Who can read my work?
Answer:
kinda hard to understand :)
Step-by-step explanation:
A restaurant needs to plan seating for a party of 150 people. Large tables seat 10 people and small tables seat 6. Let x represent the number of large tables and y represent the number of small tables. Write an equation in standard form to represent this situation.
Answer:
(0, 25) or (3, 20) or (6, 15) or (9, 10) or (15, 0)
Step-by-step explanation:
Michelle has 30 apples if she shared all of them equally with her self and her two friends. Then how many did each get
Answer:
They each got 10 each.
Step-by-step explanation:
2+1=3
30 divided by 3=10!
Three teachers equally shared StartFraction 4 Over 5 EndFraction of a flat of paper that was donated to the school. What fraction of the flat of paper did each teacher receive? StartFraction 4 Over 45 EndFraction of the flat StartFraction 4 Over 15 EndFraction of the flat StartFraction 14 Over 45 EndFraction of the flat StartFraction 12 Over 15 EndFraction of the flat
Answer:
b
Step-by-step explanation:
In Mrs. Clarito's farm, the ratio of goat to cow is 5:6. If there are 25 goats, how
many cows does she have?
A) 10
B) 20
C) 30
D) 40
Aye yo help me plz!
1.) Which of the following equations is not a linear equation?
A) y = -4
B)X 3 = 1
C) 2x -4y =1
D) y= X - 2
2.) Find the value of y that makes the equation y= -x + 5 true, when x =-4
A.) -1
B.) 2
C.) 1
D.) 9
3.) Find the value of y that makes the equation y= x + 1/4 true, when x = - 1/4.
A.) -4
B.) 0
C.) 1
D.) 4
Answer:
1) B
2) D
3) B
Step-by-step explanation:
For question 1:
Assuming that option B is [tex]x^3=1[/tex], it is not a linear function.
Linear functions have equations that do not have exponents.
For question 2:
[tex]y=-(-4)+5\\\\y=4+5\\\\\boxed{y=9}[/tex]
The option is D.
For question 3:
[tex]y=x+\frac{1}{4}\\\\ y=-\frac{1}{4}+\frac{1}{4}\\\\ \boxed{y=0}[/tex]
The option is B.
Hope this helps.
Given that the polynomial f(x) has 3 intercepts, which of the following most accurately describes the degree of f(x)?
Answer:
the degree of f(x) is 3
Step-by-step explanation:
fundamental theorem of algebra
The degree of function f(x) is at least 3.
How to determine the number of root from the number of intercepts of the function?The function has n intercepts i.e. it touches the x-axis n times, then the function will have at least n roots.
And as we know if the degree of the function is n then the number of roots of the function is n.
So, if the function has n intercepts, then the function has at least n degrees.
Here given that the polynomial function f(x) has 3 intercepts.
Then from above, it is clear that the function will have at least 3 roots.
And the function will have at least 3 degrees.
Therefore If the polynomial f(x) has 3 intercepts, then The degree of function f(x) is at least 3.
Learn more about the degree of function
here: https://brainly.com/question/1600696
#SPJ2
X square +1/2x+blank= 2+ blank
Which values of x satisfy the inequality 0.5x - 0.75 _> 3.25?
a x_>5
b x_<5
c ×_<8
d ×_>8
0.5x - 0.75 _> 3.25
Add 0.75 to both sides:
0.5x _> 4
Divide both sides by 0.5:
x _> 4/0.5
x_> 8
The answer is d.
Question 1
Use the figure below for questions 1 – 4.
1. Name a plane parallel to plane DEF.
2. Name a segment parallel to FC.
3. Name a segment parallel to AB.
4. Name a segment skew to DE.
Answer:
1. plane parallel- ABC
2. segment parallel- DA
3. segment parallel- DE
4. segmney skew- FC
The required answers are,
1. A plane parallel to plane DEF is ABC.
2. A segment parallel to FC is AD.
3. A segment parallel to AB is DE.
4. A segment skew to DE is FC.
What are segments and planes?A segment is a set of points consisting of two points of the line called the endpoints, and all of the points of the line between the endpoints.
In mathematics, a plane is a flat, two-dimensional surface that extends indefinitely.
Now from the given figure following information can be extracted-
Plane of DEF is parallel to plane ABC,
Segment FC is parallel to segment AD,
Segment AB is parallel to segment DE,
Segment DE is skew to segment FC.
Thus, the required answers are,
1. A plane parallel to plane DEF is ABC.
2. A segment parallel to FC is AD.
3. A segment parallel to AB is DE.
4. A segment skew to DE is FC.
To learn more about segments and planes :
https://brainly.com/question/15524487
#SPJ2
jjsndbddjijfnfbfbdhjdidoxo29294847
The median number of magazine appearances made by 7 models is 5. The range of number of magazine appearances by those models is 5. Determine if the following statement is true, is false, or does not contain enough information. If the fewest magazine appearances is 3, then the greatest number of appearances is 9.
Answer:not enough information
Step-by-step explanation:
Using definition of range = greatest - lowest , we found that given statement is false.
What is range of a given data?Range of a data is the difference between the highest and lowest quantity in the given data.
For example : Given data is 2,5,9,5,1
Range of this data = Highest - Lowest = 9-1 =8
Given the data of the number of appearances made by 7models
Median = 5
Range = 5
If the fewest magazine appearances is 3
We know that Range = Greatest number of appearances - fewest appearances
⇒ 5 = Greatest number of appearances - 3
⇒ 5 +3 = Greatest number of appearances
∴Greatest number of appearances = 5+3 = 8
But given is that the Greatest number of appearances will be 9 in the given statement.
∴ The given statement is false.
Also, learn more about range of data from the link below:
https://brainly.com/question/20607770
#SPJ2
What information can be used to compare linear relationships? Explain why.What information can be used to compare linear relationships? Explain why.
How can I compare linear relationships?
We have measured simple relationships between the size of different species and their weight (biomass). They are linear regressions (sometimes semilog). The type of question I would like to answer is, for example, if I have 4 species of snail, each with a separate linear equation representing the relationship between size and biomass, are those relationships significantly different, or does one relationship suffice for all my snail species?
I'm not sure how to do this comparison. Each species often has different sample sizes. I thought about just doing the separate relationships, then pooling all samples and comparing the resulting slope to the species-wise relationships with t tests. However I'm worried that species with more samples will bias the results. I could randomly remove samples from those species to equalize them. Another alternative might be to do an ancova with species put in as a dummy variable and look for interactions with species as a test of parallelism. Does that seem reasonable? It seems like a good idea to me because it will also be a test of whether the intercepts are the same.
The approach using a dummy variable and looking for interaction terms will work. It only works for comparing models of the same type (transformed or not). The pooling idea is the start of trying randomization tests (or computer intensive methods in general), but it will not work well if used in the way that you suggest.
The randomization test starts by treating the data as if the null hypothesis was true. One then calculates the probability of withdrawing two samples from your data that have a difference that is equal to or greater than the observed difference. So you resample the data, calculate differences, order these differences, and see how many are equal to or larger than the observed difference. Divide that by the total number of randomizations, and you have your answer.
Answer: Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.
Step-by-step explanation:
During a science experiment, your teacher does a demonstration. She takes a
small piece of rope, weighs it to find its starting weight, burns it, and then
weighs it again. The final mass of the product is different from the starting
weight of the reactant.
Why is the final mass different? Does this mean that the product has less
mass? Why or why not?
Answer:
less mass
Step-by-step explanation:
The product has less mass because some of its mass got burned. Hope this helps!
some parts of the rope turned into gasses because of the intense heat (fire)
Rosita earned $325 for working 25 hours last week. What is her hourly rate?
Answer:
13
Step-by-step explanation: 325/25=13
The hourly working rate of Rosita is equal to $325.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Rosita earned $325 for working 25 hours last week. The hourly rate will be calculated as,
To calculate the hourly rate divide the total earnings by the working hours.
Rate = 325 / 25
Rate = $13
The rate is $13 per hour.
To know more about an expression follow
https://brainly.com/question/11191649
#SPJ5
If you were to rotate the point (-5,8) around the origin 270 degrees counterclockwise what would the new coordinates be?
Answer:
5,8
Step-by-step explanation:
A point (-5,8) rotated around the origin 270 degrees counterclockwise will have coordinates (-8, -5).
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
We know when we rotate a point counter-clockwise the coordinates (x, y) becomes (-y, x).
Given, A point (-5,8) around the origin 270 degrees counterclockwise.
∴ The new coordinates of the points will be (-8, -5).
learn more about translation here :
https://brainly.com/question/17485121
#SPJ2
AP CAL AB!!!! HELP. A ladder 10 feet long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall, and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ=π/3 ?
Answer:
[tex]\displaystyle \frac{dx}{d\theta}=5\text{ ft/rad}[/tex]
Step-by-step explanation:
Please refer to the diagram below.
We can use the sine function. Recall that the sine function is the ratio between the opposite side and the hypotenuse. Hence:
[tex]\displaystyle \sin(\theta)=\frac{x}{10}[/tex]
We want to find how fast x changes with respect to θ. So, we want to find dx/dθ. Therefore, let's take the derivative of both sides with respect to θ:
[tex]\displaystyle \frac{d}{d\theta}[\sin(\theta)]=\frac{d}{d\theta}\left[\frac{1}{10}x\right][/tex]
Differentiate. Since it's with respect to θ, we can differentiate the left-hand side like normal. On the right, we will implicitly differentiate. This yields:
[tex]\displaystyle \cos(\theta)=\frac{1}{10}\frac{dx}{d\theta}[/tex]
Multiply both sides by 10. So, dx/dθ is:
[tex]\displaystyle \frac{dx}{d\theta}=10\cos(\theta)[/tex]
We want to find dx/dθ when θ is π/3. Thus, substitute π/3 for θ:
[tex]\displaystyle \frac{dx}{d\theta}=10\cos\left(\frac{\pi}{3}\right)[/tex]
Evaluate:
[tex]\displaystyle \frac{dx}{d\theta}=10\left(\frac{1}{2}\right)=5\text{ ft/rad}[/tex]
So, x is changing with respect to θ at a rate of 5 feet per radian.
