equation: 3x + 2.06 = 5.06
x = 1
Step-by-step explanation:
The cost of each bottle is $1.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Enola bought a bag of oranges for $2.06 and a 3-pack of juice bottles.
The total cost before tax was $5.06.
let the cost of one juice bottle be x.
So, the equation is
2.06 + 3x = 5.06
3x = 5.06 - 2.06
3x= 3
x= 1
Hence, the cost of each bottle is $1.
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An ant moves at 14 cm a min. How many minutes will it take him to travel 10 points
364 cm? What is the time ? (Write your answer in "t=" form)
Answer:
26 minutes/ t=26
Step-by-step explanation:
F) c=14t
S) 364=14t
E) t=26
Algebra 2 - Standard form of a quadratic function
1. A field goal kicker discussed his performance with this coach. Based on the coach’s data, the kicker usually kicks the ball so it reaches a maximum height of 50 yards
after it has traveled 25 yards down the field. What is the equation, in standard form, of the kick? Round your answer to the nearest hundredth
2. If the goal posts are 10 yards high, what is the minimum and maximum distance that his kick will make it over the goalpost? Round your answer to the nearest hundredth
Using quadratic function concepts, it is found that:
1) The equation is [tex]y = -0.08x^2 + 4x[/tex]
2) The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A quadratic equation has the following format:
[tex]y = ax^2 + bx + c[/tex]
In this problem:
The ball was kicked from the ground, thus [tex]y(0) = 0[/tex], which means that c = 0.Item 1:
The vertex is: [tex]V(x_v,y_v)[/tex], in which:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]
In this problem, it is (25,50). Thus:
[tex]-\frac{b}{2a} = 25[/tex]
[tex]-b = 50a[/tex]
[tex]b = -50a[/tex]
[tex]-\frac{b^2 - 4ac}{4a} = 50[/tex]
[tex]-b^2 = 200a[/tex]
[tex]-(50a)^2 = 200a[/tex]
[tex]-2500a^2 - 200a = 0[/tex]
[tex]200a(-12.5a - 1) = 0[/tex]
Then, as [tex]a \neq 0[/tex]
[tex]a = -\frac{1}{12.5} = -0.08[/tex]
[tex]b = -50a = -50(-0.08) = 4[/tex]
Thus, the equation, in standard form, is:
[tex]y = -0.08x^2 + 4x[/tex]
Item 2:
The distances are the values of x for which:
[tex]y = 10[/tex]
Then
[tex]-0.08x^2 + 4x = 10[/tex]
[tex]-0.08x^2 + 4x - 10 = 0[/tex]
Which is a quadratic equation with [tex]a = -0.08, b = 4, c = -10[/tex]. Then:
[tex]\Delta = 4^2 - 4(-0.08)(-10) = 12.8[/tex]
[tex]x_{1} = \frac{-4 + \sqrt{12.8}}{2(-0.08)} = 2.64[/tex]
[tex]x_{2} = \frac{-4 - \sqrt{12.8}}{2(-0.08)} = 47.36[/tex]
The minimum distance is of 2.64 yards, and the maximum is of 47.36 yards.
A similar problem is given at https://brainly.com/question/24713268
Yo can y'all help me with this I already did it on another paper. It would be very helpful if it was a step by step explanation take 100 points brother
Answer:
there is no question if you provide one in comments I will edit my answer to answer the question
Step-by-step explanation:
ndjsjdjdjdjdjjxndjxjusnsu j
Answer:
B
Step-by-step explanation:
bcoz sin and cos 45 have 1/root2
Answer:
B. 45°
Step-by-step explanation:
sin(45) = √2/2
cos(45) = √2/2
A television that costs $500 is marked up by 250%. What is the new price of the television?
Answer:
Its $1,750
Explanation: I got it right
8 kg of potatoes and 5 kg of carrots cost $28 whereas 2 kg of potatoes and 3 kg of carrots cost $11.20. Find the cost of 1 kg of each item.
also give the explanation.
Answer:
Step-by-step explanation:
Cost of 1 kg of Potatoes = $ 2
Cost of 1 kg of Carrots = $ 2.40
Let the cost of 1 kg of Potatoes = x
Let the cost of 1 kg of Carrots = y
ATQ , 8x + 5y = 28 - 1)
2x + 3y = 11.20 - 2)
Multiplying 2) by 4
8x + 12y = 44.80 - 3)
Applying Elimination method in 1) and 3)
8x + 5y = 28.00
8x + 12y = 44.80
0 + -7y = - 16.80
y = 16.8/7
y = 2.4
Putting the value of "y" in 1)
8x + 5(2.4) = 28
8x + 12 = 28
8x = 16
x = 16/8
x = 2
What is the equation of the line that passes through the point (6,14) and is parallel to the line with the following equation? y=-4/3x -1
Answer:
[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-interceptParallel lines always have the same slope (m)Determine the slope (m):
[tex]y=\displaystyle-\frac{4}{3}x -1[/tex]
The slope of the given line is [tex]\displaystyle-\frac{4}{3}[/tex], since it is in the place of m in y=mx+b. Because parallel lines always have the same slope, the slope of a parallel line would also be [tex]\displaystyle-\frac{4}{3}[/tex]. Plug this into y=mx+b:
[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]
Determine the y-intercept (b):
[tex]y=\displaystyle-\frac{4}{3}x+b[/tex]
To find the y-intercept, plug in the given point (6,14) and solve for b:
[tex]14=\displaystyle-\frac{4}{3}(6)+b\\\\14=-8+b\\b=22[/tex]
Therefore, the y-intercept of the line is 22. Plug this back into [tex]y=\displaystyle-\frac{4}{3}x+b[/tex]:
[tex]y=\displaystyle-\frac{4}{3}x+22[/tex]
I hope this helps!
Juan cut StartFraction 5 Over 12 EndFraction of a yard of cloth into 5 pieces of equal length. What was the length of each piece of cloth?A. StartFraction 1 Over 60 EndFraction of a yardB. StartFraction 1 Over 25 EndFraction of a yardC. StartFraction 1 Over 12 EndFraction of a yardD. One-fifth of a yard
Answer:
It is c
Step-by-step explanation:
Find the slope of the line that contains the following pair of
points:
(-3,-4) and (3,-2).
Answer:
1/3
Step-by-step explanation:
gradient or slope = m
m = change in y ÷ change in x
= (-4 - -2) ÷ (-3 - 3)
= (-4 + 2) ÷ (-3 - 3)
= -2 ÷ -6
= 1/3
Subtract the linear expressions. (−2.6x+4.2)−(3.9x+2.5) What is the difference? Enter your answer in the box.
Answer:
-13x/2+1.7
Step-by-step explanation:
The difference of the given expression is - 6.5 x + 1.7.
Given that, (−2.6x+4.2)−(3.9x+2.5).
What is the subtraction of expressions?To subtract an algebraic expression from another, we should change the signs (from '+' to '-' or from '-' to '+') of all the terms of the expression which is to be subtracted and then the two expressions are added.
Now, (−2.6x+4.2)−(3.9x+2.5)
= (-2.6x-3.9x)+4.2-2.5
= - 6.5 x + 1.7
Therefore, the difference of the given expression is - 6.5 x + 1.7.
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I'll give brainliest if correct.
File included down below
No solution. The first two equations would need to equal each other, but they don't, so it is mathematically impossible.
Answer: k=0
Step-by-step explanation:
[tex]kx+z=3\\\\-z -z[/tex]
[tex]kx=3-z[/tex]
[tex]\frac{kx}{k} =\frac{3}{k}-\frac{z}{k}[/tex]
[tex]x=\frac{3-z}{k}[/tex]
Feel free to let me know if it's wrong
49000000 -8373448588766
answer:
-8.3733995^12
the line through (6, 1) and (-3,5) in
slope-intercept form
Answer: y = -4/9x + 11/3
Step-by-step explanation:
If < is the angle sign
Please solve the math problem for me... I will mark you brainliest
Answer:
x = 5
Step-by-step explanation:
3x + 1 should equal 16
Answer:
X=5
Step-by-step explanation:
3x+1=16
move the 1 over to the 16 so it is 16 - 1 = 15
3x=15
Move the 3 over to where the 15 is in order to get x by itself
3/3 = x
3/15 = 5
so X should = 5
I need some help with this plz
Answer: acute angle
Step-by-step explanation:
Eight people are competing in an art contest for 1st, 2nd, and 3rd place awards. How many
different combinations of awards are there?
Answer:
24 Combinations
Step-by-step explanation:
There are 8 people and there is a possibility that each can be either 1st, 2nd, 3rd. You would multiply 8 x 3 to get 24 or add 3 eight times
Help!!!! I have a math assignment due this WEDNESDAY!!! I don’t understand what I’m supposed-to do. I started writing but I feel like whatever I wrote is incorrect! Just someone PLEASE help!
2. Round 459 to the nearest hundred.
O
460
450
500
400
Answer:
The answer is 500
Step-by-step explanation:
When you round to the hundred, you look at the 10s place. If the 10s place is 5,6,7,8, or 9, you round the hundred up. In this case, it is 459 so you would round up to 500. Have a nice day!!!
Write the expression 44(4-7)(4) using a single
exponent.
O
4-28
044
X
4-3
O 4-2
RETRY
___________
[tex] \: [/tex]
[tex] {4}^{4} ( {4}^{ - 7} )(4) = ...[/tex]
[tex] = {4}^{4 + ( - 7) + 1} [/tex]
[tex] = {4}^{ - 3 + 1} [/tex]
[tex] = \bold{{4}^{ - 2} } \to({ \sf{d.}})[/tex]
easy one - giving brainly if correct!
Answer:
option 4 is the right answer
Answer:
The last option is right
WILL CHOOSE BRAINLIEST:Directions: From the graph, write the linear equation in slope-intercept form
Answer:
y = -2/3x - 2
Step-by-step explanation:
Picking two points on the line: (0,-2) & (-3,0)
Using the slope formula:
[tex]\frac{x2-x1}{y2-y1}[/tex]
= (0-(-2))/(-3-0)
= 2/-3
= -2/3
y = -2/3x + c
Subsituting (0,-2) into 'y = -2/3x+c':
-2 = 0 + c
c= -2
Hence,
y = -2/3x -2
Hope this helps, and be sure to have a wonderful time ahead at Brainly! :D
Feel free to mark this as brainliest :D
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:Slope-intercept form, y=mx+b, of linear equations, emphasizes the slope and the y-intercept of the line.
Step-by-step explanation:
y coordinate
m = slope
x = x coordinate
b = y intercept
5/14 x 4/7 in the simplist form
Answer:
10/49
Step-by-step explanation:
make it (5)(4)/(14)(7)
20/98
divide it by the greatest common factor, 2
10/49
A college student takes out a $7 500 loan from a bank. Assuming the student has not started paying back the money, how much does the student owe . . .
1.1 . . . after 1 year, if the bank charges 3.8% interest each year?
HELP I NEED AN ANSWER ASAP!! IM BEING TIMED!!
For this year‘s prom, 35/12 grade students and 28th 11th grade students voted on the theme. The segment take a bar graph below shows the distribution of responses.
Based on the segmented bar graph, does there appear to be an associates between grade level and prom theme?
A yes, there is a different number of students in each class.
B yes, it appears that the 12th grade students prefer the 1920s more than the 11th grade students, and prefer the beach party less.
C no, both distributions of student preferences have the same four categories.
D no, both distributions of student preferences have about the same preference for each of the prom themes.
E no, by the same number of students in each class. Preferred winter wonderland and masquerade ball as prom themes.
Answer:
B
Step-by-step explanation:
Logically and if you observe the graph closely ┐( ∵ )┌
The answer is yes, there appears to be an association between grade level and prom theme based on the segmented bar graph. The Option B is correct
Is there an association between grade level and prom theme?The graph shows that 12th-grade students prefer the 1920s theme more than the 11th-grade students do, and they also have a lower preference for the beach party theme. This indicates a difference in preferences between the two grade levels for these specific prom themes.
This graph provide information on whether both distributions have the same four categories or whether they have the same preference for each of the prom themes, so, its indicate whether the number of students in each class is the same or not.
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HELP WILL GIVE BRAINLIEST ASAP
Answer:
I believe it's also 74°
Step-by-step explanation:
Because AGF and CGE are congruent,so the angle measurement should stay the same
Answer:
CGE is 74°
Step-by-step explanation:
AGF = FGD
FGD = CGE
AGF = EGB
AGF = 74°
FGD = 74°
CGE = 74°
EGB = 74°
360° is a circle and CGA = BGD
74 + 74 + 74 + 74 + x + x = 360
296 + 2x = 360
2x = 360 - 296
2x = 64
2x/2 = 64/2
x = 32
CGA and BGD are 32
CGE is 74°
Hope This Helps! •v•
Which model represents the product 4×13?
Answer:
Your answer is the one in the bottom left corner.
Step-by-step explanation:
Hope this helps!
Answer: C
Step-by-step explanation:
hello i need the answer what is the product of 15/16
Answer:
The product is 240.
Step-by-step explanation:
The product is always when you multiply numbers together.
Answer:
Using 15 times table, we have 15 times 8 = 15 × 8 = 120. Hence, 15 times 8 is 120. b) First, we will write 15 times 7 minus 5 mathematically.
Table of 15 up to 20.
15 × 11 = 165 15 × 16 = 240
15 × 14 = 210 15 × 19 = 285
15 × 15 = 225 15 × 20 = 300
Step-by-step explanation: Hope this help!
Hi Hawk1amon I saw you answer my question but it been a long time on the question for me not to text anymore so I can’t say hi back. Plus I don’t use Brainly.com anymore right now but I do check it sometime, I don’t know if you even going to see this but it ok
What is
5
90
in decimal form?
Answer:
590 decimal form is 5.9
Step-by-step explanation:
Answer:
0.05555555555Step-by-step explanation:
it is only a division
5/90 =
5 : 90 =
0.05555555555
