2 toppings need to be added to a large cheese pizza from Palanzio's Pizzeria and Guido's Pizza in order for the pizzas to cost the same, not including tax.
Let x be the number of toppings to be added to each pizza and y be the total cost of pizza.
A large pizza at Palanxio's Pizzeria cot $6. 80 plu $. 90 for each topping.
So, we get an equation,
y = 6.80 + 0.90x
The cot of a large pizza at Guido's Pizza i $7. 30 plu $. 65 for eachtopping.
So, we get an equation,
y = 7.30 + 0.65x
We need to find the number of toppings need to be added to a large cheese pizza from Palanzio's Pizzeria and Guido's Pizza in order for the pizzas to cost the same, not including tax.
Now let's equate the costs of both pizzas and solve for x.
6.80 + 0.90x = 7.30 + 0.65x
0.25x = 0.50
x = 2
Therefore, 2 toppings to be added to each pizza
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Solve the equation 20 + 0.44x = 19 + 1.69x.
By solving the given equation 20 + 0.44x = 19 + 1.69x we get x=0.8.
What is meant by an equation?When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. For instance, an equation in French is described as having one or more variables, whereas in English, an equation is any properly written formula that consists of two expressions linked by the equals sign.
Determine which values of the variables result in the equality to be true in order to solve an equation with variables. The values of the variables that must fulfill the equality to constitute the answer are known as the unknowns, together with the variables for which the equation must be solved.
Given,
20 + 0.44x = 19 + 1.69x
20-19=1.69x-0.44x
1=1.25x
x=0.8
Therefore, by solving the given equation 20 + 0.44x = 19 + 1.69x we get x=0.8.
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.Find the y-intercept of the line 9y + 4x = 7.
Answer:
The y-intercept of the given line is 7/9.
Step-by-step explanation:
The y-intercept of a line is the point where the line crosses the y-axis.
So, to find the point where the line crosses the y-axis we must do x=0.
By substituting x=0 in the following equation, we get
=> 9y + 4(0) = 7
=> 9y = 7
=> y = 7/9
Hence, y = 7/9 is the y-intercept of the given line.
5. Use the given process data to construct a control chart for p.
A manufacturer monitors the level of defects in the television sets that it produces. Each week, 200 television sets are randomly selected
and tested and the number of defects is recorded. The results for 12 consecutive weeks are shown below.
4756831244562
Select the correct lower control limit.
lower control threshold for the data is LCL = -0.007
How does lower control limit work?The lower control limit on a control chart is the value below which any particular data point would be deemed to be out of statistical control owing to specific cause variation. It is represented by a line below the centerline.
The lower control limit formula: LCL = Pbar - [tex]3 \sqrt{p bar (1- p bar)/n}[/tex]
To date,
Size of sample = n
Sample size is 12 samples.
Televisions with defects = X
We have a sample defect = p
p chart week with n = 200
x = 4, 7, 5, 6, 8, 3, 12, 4, 4, 5, 6, 2.
P = x/n
p = 4/200 = 0.02
p = 7/200 = 0.035
p = 5/200 = 0.025
p = 6/200 = 0.03
p = 8/200 = 0.04
p = 3/200 = 0.015
p = 12/200 = 0.06
p = 4/200 = 0.02
p = 4/200 = 0.02
p = 5/200 = 0.025
p = 6/200 = 0.03
p = 2/200 = 0.01
total will be 0.33
p bar = 0.33/12
p bar = 0.0275
The lower control limit formula: LCL = Pbar - [tex]3 \sqrt{p bar (1- p bar)/n}[/tex]
LCL = 0.0275 - 3[tex]\sqrt{ 0.0275 (1- 0.0275/200}[/tex]
LCL = -0.007
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how far is the end of his shadow from the bottom of the lamppost after 8 seconds. use similar triangles to solve the problem
The Distance from bottom of lamppost is 57.142 ft.
What are similar triangles?Triangles with the same shape but different sizes are called similar triangles. Examples of similar objects include squares with any side length and all equilateral triangles. To put it another way, if two triangles are similar, their angles are the same and their sides are the same size. The "~" symbol indicates the triangular resemblance here.
Given the height of lamp post is 20 ft
height of man is 6 ft
man walking away with speed of 5 ft per sec
distance covered 8 sec is 8 x 5 = 40 ft
let us consider a triangle ΔABC and consider the triangle with man ΔDEC
which is inside ΔABC as shown in figure,
AB = 20 ft, DE = 5 ft and AD = 40 ft
consider ΔABC and ΔDEC
∠BAC = ∠EDC = 90⁰
∠BCA = ∠ECD = common angle
so ΔABC ~ ΔDEC by (AA property)
according to similar triangles
AB/DE = AC/DC
let DC be x and AC is 40 + x
substitute the values
20/6 = (40 + x)/x
20x = (40 + x)6
20x = 240 + 6x
14x = 240
x = 17.142ft
AC = AD + DC = 40 + 17.142 = 57.142 ft
Hence the Distance from bottom of lamp post to the end of shadow is 57.142 ft.
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Solve the following absolute value inequality, then select the correct graph:
\mid r\mid-3>2∣r∣−3>2
Solve the following absolute value inequality, then select the correct graph:
\mid r\mid-3>2∣r∣−3>2
The solution for the inequality |r| - 3 > 2 is r < -5 or r > 5.
What is inequality?Inequality shows relation between two expression which are not equal to each others.
The given inequality is,
|r| - 3 > 2.
Simplify the inequality,
|r| > 5,
Implies that,
r < -5 or r > 5
Interval notation (-∞, -5) ∪ (5, ∞).
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How many turning points are in the graph of the polynomial function?
2 turning points
3 turning points
4 turning points
Graph with their Turning Point is shown with different degree of different degree Equation
What is Turning Point?Where a graph changes, either from increasing to decreasing, or from decreasing to increasing, is called a turning point.
How to find Turning Point?Factorization Technique
The turning point of the parabola lies exactly at the midway between the (two) x-intercepts of a quadratic function, as shown by the fact that a vertical line of symmetry divides the parabola into two equal half and crosses it. In light of this, we can use a factorisation-based method to locate the solution of a quadratic equation. The process involves five steps.
Step 1: By looking at the coefficient of x2, determine if the graph is a minimum or maximum;
Factorize the supplied quadratic function in Step 2 and set it to Zero;
Step 3: Define the function's antecedents;
Take the midpoint of the pair of roots to find the x-coordinate of the turning point in step 4;
2 turning points
Let f(x)=x³+ax²+bx+c, where the coefficients a, b and c are real numbers. The figure below shows a section of the graph of y=f(x). The curve has two distinct turning points; these are located at A and B, as shown.
But there is come limitations in this case too, a function has to follow certain conditions to have two turning points.
3 turning points
If we get 4 roots of any equation it may be containing 3 turning Points.
With some limitations in this as well.
4 turning points
If we get 5 roots of any quadratic equation it may be containing 4 turning points with some limitations in this as well.
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Emilia clear a rectangular region in her yard for a garden if the length i a one digit whole number and the width i5. 5 meter what i the leat poible area explain how you found your anwer
If the length of the garden is one digit whole number and the width is 5 meter, then the lease possible area is 5 meters
The shape of the region is rectangular
The length of the garden is one digit whole number
One digit whole numbers are {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
The width of the rectangular region = 5 meters
We know the area of the rectangle = Length × Width
Here we have to find the least possible area
So the width is given but the length of the garden is unknown but it is a one digit whole number
To get least possible area, the length should be least number, because the area is the product of length and width
The length of the garden = 1
The least possible area = 1 × 5
= 5 meter square
Therefore, the least possible area is 5 meter square
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use order of operations to solve 2 1/2 + 3 1/5 x 5 5/8
Answer: decimal form 20.5
Step-by-step explanation:
what are the intercepts of the line - 4x + 7y=3
Answer:
The intercepts are: (0, 3/7) and (-3/4, 0)
Step-by-step explanation:
If X=0
-4(0) + 7y = 3
7y = 3
Y = 3/7
If Y=0
-4x + 7(0) = 3
-4x = 3
X = -3/4
Emma bought a bag of carrots. There are 5 carrots in the bag, and so far Emma has eaten 4. What percentage of the bag has Emma eaten?
12x^2+17x=5 answer with factoring, answers may be a fraction?
Answer:
Step-by-step explanation:
12x^2+17x = 5
12x^2+17x-5 = 0
(4x - 1)(3x+5) = 0
Solve (4x-1) and (3x +5)
4x - 1 = 0
4x = 1
x = 1/4
3x + 5 = 0
3x = -5
x = -5/3
x = { 1/4, -5/3 }
NEED HELP PLSSS
Just need to explain why is it wrong
The equation for line f can be written as 9x+10y=10. Line g is perpendicular to line f and passes through (– 9,– 7). What is the equation of line g?
Finding line J's slope is the first step.The simplest approach to achieve this is to change the equation's format to y=mx+b, where m represents the slope.
What is the equation of line g?9x-y=10
Take 9x off of both sides.
9x-y-9x=10-9x
Simpllify -y=-9x+10
Divide both sides by (-9x+10)-1, or -1 -y/-1.
Simplify y=9x-10
m=-1/9.
The notation (x1,y1) y-y1=m(x-x1) y-1=-1/9(x- -8) which reduces to y-1=-1/9(x+8)
y-1=-1/9x-8/9
then multiply both sides by 1.
y-1+1=-1/9x-8/9+9/9
(Using 9/9 as 1 makes it easier to use the common denominator to simplify the fractions.)
As the penultimate step, simplify.
y-1/9x+1/9
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POINTS UP FOR GRABS!!!!! URGENT!! POINTS UP FOR GRABS!!!!! Match the explanation below to the number above. Question is below. I need the full order please! Thank you so much!
BIG POINTS!
Without using the triangle sum theorem, the proof that shows that m∠G + m∠K + m∠GHK = 180° is proved below.
What is the Triangle Angle Sum Theorem?Based on the triangle angle sum theorem, all the interior angles in a triangle will add up to the sum of 180 degrees.
The complete proof that shows that m∠G + m∠K + m∠GHK = 180 degrees is explained below.
Statement Reason
1. GK║HJ 1. Given
2. ∠G ≅ ∠IHJ 2. Corresponding angles theorem
3. ∠K ≅ ∠JHK 3. Alternate interior ∠s theorem
4. m∠IHK = m∠IHJ + m∠JHK 4. Additive property of angle measure
5. m∠IHK = m∠G + m∠K 5. Substitution
6. m∠IHK + m∠GHK = 180° 6. Angles forming a linear pair sum of 180°
7. m∠G + m∠K + m∠GHK = 180° 7. Substitution
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I WILL MARK AS BRAINLIST PLEASE. Write the equation of the line in fully simplified slope-intercept form
Answer:
y= -5x-8
Step-by-step explanation:
Slope-intercept form equation: y=mx+b
b is where the line meets the y line. So it meets it at the number "-8". Then with the mx in the equation, you find that by doing rise over run. I got 5/-1, which goes to just plain old -5.
I hope this helps!!!
Last year, Mr.Henderson paid a total of $98.40 for phone service and $79.20 for garbage pickup. What was his average cost per month for phone service and garbage pickup?(Please explain it in a 5th grade level)
A.) $8.20
B.)$6.60
C.)$1.48
D.)$14.80
(Please pick one)
Mr. Henderson paid a total of $98.40 for phone service and $79.20 for garbage pickup last year. To find his average cost per month for these two services, we need to divide the total amount he paid by the number of months in a year.
Since there are 12 months in a year, we can divide the total amount Mr. Henderson paid for phone service and garbage pickup by 12 to find his average cost per month. This is calculated as follows:
Average cost per month = (98.40 + 79.20) / 12
Average cost per month = 177.60 / 12
Average cost per month = $14.80
Therefore, Mr. Henderson's average cost per month for phone service and garbage pickup last year was $14.80. This means that, on average, he paid about $14.80 per month for these two services.
What is the value of b?
The value of b is 20.
What is Pythagorean theorem?
The Pythagoras theorem is a mathematical law that states that the sum of squares of the lengths of the two short sides of the right triangle is equal to the square of the length of the hypotenuse.
According to the given question:
∠S and ∠Q are right angles in RSTQ quadrilateral.
RTS and RTQ are right angled triangles.
Applying Pythagorean theorem on both the triangles
sin 35° = b + 60 / RT ⇒ RT = b + 60 / sin 35°
sin 35° = 4b / RT ⇒ RT = 4b / sin 35°
Since RT is common in both equations
b + 60 / sin 35° = 4b / sin 35°
b + 60 = 4b
3b = 60
b = 20
Hence the value of b is 20
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100 Points + brainliest if correct and well explained:
An equation is shown:
−np − 3 = 7(c − 4)
Which of the following solves for n?
n = the quantity 7 times c minus 31 all over negative p
n = the quantity 7 times c minus 25 all over negative p
n = the quantity 7 times c plus 31 all over p
n = the quantity 7 times c plus 25 all over p
The value for n is n = the quantity 7 times c minus 25 all over negative p.
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:
−np − 3 = 7(c − 4)
Now, solving for n
-np - 3 = 7c - 28
-np = 7c - 28 + 3
-np = 7c -25
-n = 1/p( 7c- 25)
n= 1/ (-p) (7c- 25)
So, the value for n is n = the quantity 7 times c minus 25 all over negative p.
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I need help with this please :D
Step-by-step explanation:
The answer is in the image above
Answer:
Step-by-step explanation:
Apply distributive property.
5i(3+2i)
5i⋅3+5i(2i)
Multiply
3 by 5.15i+5i(2i)
Multiply
5i(2i) .
15i + 10i2
Simplify each term.
Rewrite
i2 as −1.15i+10⋅−1
Multiply
10 by −1.15i−10
Reorder
15i and −10.−10+15i
hope it helps :)
Please Solve question
The component form of two vectors 2u - v is (10, 0), no magnitude in the second direction.
What is a vector?A vector is a quantity that has both magnitude and direction.
Given are two vectors u = (4, - 1) and v = (-2, - 2).
∴ The value of 2u - v in component form is 2(4, - 1) - (-2, - 2).
2u - v = (8, - 2) - (-2, - 2).
2u - v = (8+2, - 2+2).
2u - v = 10
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PLEASE HELP RIGHT NOW
What is 3N?
Answer:
the answer is D. the 3 is simply a scalar multiple so multiply each term by 3
Answer:
D
Step-by-step explanation:
I believe that it's D since all you have to do is multiply 3 by each of the numbers that are supposedly n.
your starting salary at a new company is 35000 and its increases by 2.5 each year
Answer:
35,875
Step-by-step explanation:
35000x(1+2.5%)
35000x1.025%
35,875
(sorry if it's wrong I'm assuming it is the answer because i saw a similar equation and i used the same format..)
3) Kevin made $9 per hour working as a
lifeguard. How many hours did he work
this week if his weekly pay before
deductions was $288? Define a variable
and write an equation. Solve the equation.
Answer: 9x = 288, 32 hours
Step-by-step explanation:
x can be the variable and it represents the hours he worked. 9 is the amount made each hour, so it is multiplied by x. 288 is the total made, so 9x=288.
9x = 288 Divide by 9 on both sides to isolate x
x = 32 hours. Kevin worked 32 hours this week
Answer:32
Step-by-step explanation: 32x9=288
One month Ivan rented 9 movies and 7 $74. video games for a total of 3 movies and 5 video games for a total of $40. . Find the rental cost for each movie and each video game.
The rental cost for each movie is $3.75
The rental cost for each video game is $5.75
How to determine the rental costThe problem is a simultaneous equation of two unknowns with two equations.
The equations are formed as follows
let the cost of renting movies be m and let the cost of video game rental be v
One month Ivan rented 9 movies and 7 video game $74
9m + 7v = $74
3 movies and 5 video games for a total of $40
3m + 5v = $40
The simultaneous equation
9m + 7v = $74
3m + 5v = $40
solving the equation gives
m = $3.75
v = $5.75
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What is the value of x?
Answer:
14
Step-by-step explanation:
x+8=? x= 6. i do know it
Round 14.5621 to the nearest hundredth. Do not include extra zeros in your answer.
Answer:
14.56
Step-by-step explanation:
an experiment can be assumed to have internal validity if multiple choice all variables other than the independent variable are kept constant. the dependent variable is valid. confounding variables are present. there is a strong manipulation of the independent variable.
An experiment can be assumed to have internal validity if random assignment and experimental control is employed. So the option c is correct.
The degree to which a study reliably establishes a cause-and-effect link is a sign of its internal validity. The procedures used in the study and the level of care done have a significant impact on this type of validity.
Internal validity is essential because, if proven, it enables alternate explanations for a discovery to be disregarded.
An experiment can be assumed to have internal validity if random assignment and experimental control is employed. So the option c is correct.
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The right question is:
An experiment can be assumed to have internal validity if:
A. the dependent variable is valid.
B. there is a strong manipulation of the independent variable.
C. random assignment and experimental control is employed.
D. confounding variables are present.
HELP ASAP
Equation in picture
Answer:1/2
Step-by-step explanation:
3/4+(-1/2)-(-1/4)
3/4-1/2+1/4
1-1/2=1/2
if the a horizon in a soil sample measures 3 inches, and the rate of top soil for temperate deciduous forest (where the soil was sampled) is 1 in/225 years, how long did it take for this horizon to develop?
The time taken by the horizon to develop is calculated with the half-life which is 675 years.
Organic matter particles have more negatively charged particles, which hold on the positively charged particles.
The organic matter in the soil affects the water holding capacity of the soil. Thus is if there are more organic matter, this means that the organic matter is more. Thus the farmer has to add more organic matter.
In order to reduce the the acidity, the farmers add Calcium oxide, Calsium hydroxide and so on.
The horizon s formed after years of sediment formation. Thus the process can take years.
This is the half-life of the soil and with the formula of half-life we get 225 * 3 = 675 years.
Therefore, the time taken by the horizon to develop is 675 years.
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Given the graph of the function h(x) below, what is the approximate value of h(2) ?
Answer:
3
Step-by-step explanation:
h(2) we find by looking at what y equals when x is 2
when x is 2 y or h(2) is about 3
hopes this helps please mark brainliest