Katie's favorite deli has a salad bar where she can make her own salad. She has to pay $1 for the container and $3 per pound for the salad.
Write an equation that shows how the total cost, y, depends on weight of the salad in pounds, x.
Do not include dollar signs in the equation
Answer:
y = 3x + 1
Step-by-step explanation:
Answer: y = 3x + 1
Step-by-step explanation:
Following the y = mx + b theory, we can find the equation (see attached image) by plugging in two points of the hypothetical graph.
For one pound of salad, Katie will pay $4 ($3 for the salad, $1 for the container). Thus, the first point will be (1,4). For two pounds, Katie will pay $7. Thus, the second point will be (2,7).
Knowing that m (slope) = [tex]\frac{y_{2}-y_{1}}{x_{2}-{x_1}}[/tex], we can get the equation m = [tex]\frac{7-4}{2-1}[/tex], thus telling us that m = [tex]\frac{3}{1}[/tex], or 3. Plug in 3 for m, and you get y = 3x + b.
To solve for b, lets' use the second point (2,7). Plug in the coordinates and you get 7 = 3(2) + b, or 7 = 6 + b. Subtract 6 from both sides and you get b = 1.
Plug in 1 for b and you end up with y = 3x + 1
Which of the following expressions correctly describes Completing the Square?
The expression that correctly describes completing the square is;
Option C; x² + ax + (a/2)²
Let's say we have an expression;
x² + ax + c = 0
Let us first rearrange to get;
x² + ax = -c
Add (a/2)² to both sides to get;
x² + ax + (a/2)² = -c + (a/2)²
Thereafter, we can simplify the left hand side to give; (x + a/2)² = -c + (a/2)²
But from the given options, the only one with a corresponding step with what we have is option C which is x² + ax + (a/2)²
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Help!! You have about 4+ hours to answer!! Help!!
Answer:
I think I'm doing this right?
Step-by-step explanation:
4.3
----
a. 4.3
b. 4.3
c. 4
Answer:
1. 4.30
2. 4.3
3. 4
Step-by-step explanation:
a. hundredths
4.30 is exactly in between 4.29 and 4.31
a. at the top: 4.31
a. at the bottom: 4.29
a. in the middle: 4.30
b. tenths
4.3 is exactly in between 4.2 and 4.4
b. at the top: 4.4
b. at the bottom: 4.2
b. in the middle: 4.3
c. ones
4 is in the middle of 3 and 5
c. at the top: 3
c. at the bottom: 5
c. in the middle: 4
What’s the answer to 4(1+9x)
Answer:
36x+4
hopes this helps
Answer:
Explanation:
4 ( 1 + 9x)
4 + 36x
Translate the sentence into an Inequality.
The sum of 6 and x is less than or equal to - 20.
The sum of 6 and x is less than or equal to - 20.
Answer: (6+x) ≤ -20
HELP ME I NEED HELP AND I DONT KNOW THE ANSWER
Check B
(-3,0) and (0,-3)
Find slope
m=-3-0/0+3m=-3/3m=-1It has y intercept (0,-3)
Check A
(3,0) and (0,3)
m=3-0/0-3m=3/-3m=-1Option A is correct
Answer:
A
Step-by-step explanation:
Positive slope: as the x-value increases, the y-value increases.
Negative slope: as the x-value increases, the y-value decreases.
The slope of the graph is -1
As it has a negative sign, the graph has a negative slope.
As the slope is -1, this means that for every 1 unit increase of the x-value, the y-value decreases by 1 unit.
The line passes through (0, 3)
When the x-value is zero, the line intercepts the y-axis.
Therefore, the line will intercept the y-axis when y = 3.
Therefore, the graph of the line that passes through (0, 3) and has a slope of -1 is option A.
[tex]\begin{array}{|l|c|c|c|c|}\cline{1-5} & \sf Graph\:A & \sf Graph\:B & \sf Graph\:C & \sf Graph\:D \\\cline{1-5} \sf slope & \sf negative & \sf negative & \sf positive & \sf positive\\\cline{2-5} \sf & -1 & -1 & 1 & 1\\\cline{1-5} \sf y-intercept & (0,3) & (0,-3) & (0,-3) & (0,3)\\\cline{1-5}\end{array}[/tex]
wuts x uwu plssss 10 points
−2/9x+2.7=4
Answer:
x = -5.85
Step-by-step explanation:
Solve the equation
1) [tex]-\frac{2}{9} x + 2.7 = 4[/tex]
Subtract -2.7 on both sides by doing the inverse operation.
2) [tex]-\frac{2}{9}x = 1.3\\[/tex]
Multiply both sides by -9/2 to cancel out -2/9x, so that you can isolate "x" by itself.
3)[tex]x = -5.85[/tex]
The cost of Matt and Natalie's dinner was $27.35. They want to leave a 20% tip. Which of the following is the closest to the amount of the tip they want to leave?
A. $4.00
B. $4.50
C. $5.00
D. $5.50
Answer:
Option D is correct.
Step-by-step explanation:
27.35 x 20/100
=> 2.735 x 2/1
=> $5.47
=> $5.50 (Rounded)
Therefore, Option D is correct.
Hoped this helped.
Find the perimeter. Simplify your answer.
Ann made a scale drawing of a theater. The scale she used was 1 inch : 7 feet. The stage is
28 feet wide in real life. How wide is the stage in the drawing?
inches
Answer:
4 inStep-by-step explanation:
Use ratios and solve:
1 in ÷ 7 ft = x in ÷ 28 ftx = 28/7 inx = 4 inHey can someone please help me in this question?
Answer:
£48
Step-by-step explanation:
Area of walls = area of four rectangular walls + area of two triangular shape at front and back
Area of a rectangular wall = l *w = 8 * 4 = 32 m²
Area of 4 rectangular walls = 4 *32 = 128 m²
Triangle:
Base = 6m
height = h = 7 - 4 = 3 m
Area of triangle = (1/2)*b*h
[tex]= \dfrac{1}{2}*6*3 = 3*3 = 9 \ m^{2}[/tex]
Area of 2 triangles = 2*9 = 18 m²
Area of four walls = 128 + 18 = 146 m²
Number of paint tins required = 146 ÷ 25 = 5.84 = 6
6 tins are required.
Cost of 6 tins = 8 * 6 = £48
PLEASE HELP!! Which ordered pair corresponds to point A?
A) (-1,-2)
B) (2,1)
C) (-1,2)
D) (1,2)
Answer:
D) (1,2)
Step-by-step explanation:
This is because point A is identified as (1,2), giving it's plotted point
Your Fourthknight team is holding a fundraiser. The list shows all expenses for the fundraiser.
- A tablet that costs $250
- Soccer tickets that cost $150
- Gift cards totaling $425
- The cost of catering is $875
The members of the team will sell tickets at the fundraiser. The ticket cost is set so that 68 tickets will pay for the cost of prizes and food.
How much does each ticket cost?
Model the profit for the fundraiser using an equation:
Answer:
25
Step-by-step explanation:
Because when you add all the cost and divide by the amount of tickets you get 25
Factor the trinomial
10x^2+11X-6
Answer:
The expression is not factorable with rational numbers.
10x2+11X−6
Step-by-step explanation:
PLS Brainliest
Mr. Smith and Mr. Kelly are business partners they agreed to divide the profits in the ratio of 3 to 2 the profit amount of 24,000 how much did each person receive
Answer: Mr. Smith makes 14,400, Mr. Kelly makes 9,600
Step-by-step explanation: First add the ratio together. 3+2=5.
Then divide 24,000 into five parts, 24,000/5 = 4,800.
After getting 4,800, multiply 4,800 by 3 to get Mr. Smith's portion of the money received. 4,800 x 3 = 14,000.
And you can do the same for Mr. Kelly but use 2 instead of a 3.
4,800 x 2 = 9,600
To check your work you can add the two answers together
9,600 + 14,400 = 24,000.
A number c minus 7.3 is less than 6. write this word sentence as an inequality?
Answer:
c - 7.3 < 6
Step-by-step explanation:
c - 7.3 is less than 6
less than is the same as <
So c - 7.3 < 6
-Chetan K
Answer:
c - 7.3 < 6
Step-by-step explanation:
Calculate the distance between the points H= (0, 2) and E = (3, -6) in the coordinate plane.
Answer:
The answers is root 73.
Process is shown in the picture.
Given:
A
B
‾
≅
A
C
‾
AB
≅
AC
and
B
E
‾
≅
C
E
‾
.
BE
≅
CE
.
Prove:
∠
B
D
E
≅
∠
C
D
E
∠BDE≅∠CDE.
Answer:
∠ABC ≅ ∠DBE
Step-by-step explanation:
The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The triangle ΔABE is congruent to the triangle ΔACE. Then we have
AB = AC
∠BEA = ∠CEA
BE = CE
In triangles ΔDBE and ΔDCE, then we have
AB = AC (Given)
∠BEA = ∠CEA (Given)
DE = DE (Common sides)
The triangle ΔDBE is congruent to the triangle ΔDCE by the SAS postulate. Then the angle ∠BDE is congruent to the angle ∠CDE.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
expand and simplify 4(x+3)+4(x+5)
many non-profit groups ask for donations during december. do men give higher monetary donations than women in the month of december? how should we write the alternative hypothesis? let mum be the population mean donation for men and let muw be the population mean donation for women.
Alexa is y years old. Nate is 22 years old, and Alexa is one-half Nate's age Which equation shows an equality between two different ways of expressing Nate's age? OA) 22 = 2y OB) 22 = 2 + y OC) 22==y - 22 OD 22 = y2
Answer:
A. is the correct answer
Step-by-step explanation:
Stay safe.
Please help
2x−9≥17
Ancwers:
x≤3
x≤13
x≥3
x≥13
The perimeter of a square is 48 cm. What is the length of each side of the square?
Answer:
12 cm
Step-by-step explanation:
48/4 is 12 since there is 4 sides and all of them are equal.
Answer:
the answer is 192
Step-by-step explanation:
48 + 48 +48 +48 since a square is 4 sided and you add it all together which gets you 192.
Slope of line |
Slope of line |
Line I and II are parallel
/perpendicular/ neither
7/2
-(7/2)
Answer:
Line I and II are perpendicular
Step-by-step explanation:
Parallel is when the slope is the same
Perpendicular is when the slope is the opposite (positive and negative)
Hope this helps!
Ingrid is 3 times as old as Ernest. The sum
of their ages is 24. This is represented by the
equation e + 3e = 24, where e is Ernest's age.
How old is Ernest?
-
D. 21
C. 12
A. 3.
B. 6
Answer:
Ernest is six (B)
Step-by-step explanation:
e + 3e = 24
4e=24
[tex]\frac{4e}{4} =\frac{24}{4}[/tex]
e= 6
Question 12 Objective: Given an acute angle of a right triangle, label the hypotenuse, opposite, and adjacent sides. What side is opposite to angle R? What side is adjacent to angle R? R S
Answer:
Opposite: Line SQ
Adjacent: Line SR
Hypotenuse: Line RQ
Step-by-step explanation:
if angle a is 10 degrees and angle b is 35 degrees what is angle AEB?
Answer:
135
Step-by-step explanation:
sum of interior angles of a triangle is 180
so
180-35-10
135
A Function is defined as K(x)= 2x^2 -5x +3.The value of K(-3) is
Given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]
Given the function, [tex]K(x)= 2x^2 -5x +3[/tex], to find the value of K(-3), substitute -3 for x into [tex]K(x)= 2x^2 -5x +3[/tex].
Thus, substitute:[tex]K(-3)= 2(-3)^2 -5(-3) +3\\\\K(-3) = 18 + 15 + 3\\\\\mathbf{K(-3) = 36}[/tex]
Therefore, given that [tex]K(x)= 2x^2 -5x +3[/tex] as a function, the value of K(-3) can be found by substituting x for -3 into the function which will give us: [tex]\mathbf{K(-3) = 36}[/tex]
Learn more here:
https://brainly.com/question/19027807
The temperature of a mixture changes by −5.2°F between 8 a.m. and 11 a.m. At 6 p.m., the temperature is 14.5°F, which is half what it was at 11 a.m.
What was the temperature at 8 a.m. of the mixture?
Enter your answer as a decimal in the box.
Answer:
34.2
Step-by-step explanation:
Answer:
K12 Answer
Step-by-step explanation:
Help! Keep getting it wrong, I suck at this. Question is in the picture. Thank you! Please show your work!
Answer:
D.
Step-by-step explanation:
Interest is earn at a rate of 4.46%/ year, while this is after 3 years
=> interest earned in 3 years: 3($1700 x 4.46%) = $227.46
How much $1700 will worth after 3 years: $1700 + $227.46 = $1927.46
Aight, I'm heading to bed now. It's 0:10 here
