From the word problem given, the number of pizzas each that were delivered are:
1 small7 medium; and2 large.Step I
Let a = number of small pizzas delivered
Let b = number of medium pizzas delivered
Let c = number of large pizzas delivered
Step 2 - Creating relevant expressions based on number and type ordered, we have:
a + b + c = 8.............................1
3a + 5b + 11c = 56..................2
4a + 9b + 12C = 4 * 8 + 12.....3a
We can rewrite (3) as
4a + 9b + 12C = 44 ....3b
Step 3
Multiply both sides of (1) by 4
We have
4a +4b +4c = 32
If we remove (1) from (3) we have-
4a +4b +4c = 32
5b +8C = 12......................(4)
Multiply both sides of (1) by 3 and subtract from (2), and we have:
3a + 3b + 3c = 24, removing this from (2) we have
3a + 5b + 11c = 56
-
3a + 3b + 3c = 24
2b + 8c = 32.....................(5)
Step 4 - Subtract (4) from (5)
2b + 8c = 32
-
5b + 8c = 12
-3b = 20
b = - 20/3
= - 6.67
Since we cannot have negative values, we work with absolute value to get:
b [tex]\approx[/tex] 7
Since b = 7
2(7) + 8c = 32
8c = 32 - 14
c = 18/8
c [tex]\approx[/tex] 2
Plug in that back into a we have
a + b + c = 8
a + 7 + 2 = 8
a = 8-9
a = -1 (recall we must have absolute values)
a therefore = 1.
Hence the number of pizzas that were ordered are:
1 small
7 medium; and
2 large.
Learn more about word problems:
https://brainly.com/question/13818690
#SPJ1
Which of the following is most likely the next step in the series
How do you do question 7 and 8?
Answer:
7.
[tex]y = \frac{a - b \: x {}^{10} \times ln(x) }{x {}^{10} } [/tex]
8.
[tex]y = \frac{12x {}^{3} \times ln(x) - 2x {}^{4} + 1 + 4\pi {}^{2}x {}^{3} }{4x {}^{3} } [/tex]
The price of a phone was AED 1,500.
How much will you pay for this phone, after a discount of 22% and a 6% tax?
Answer:
100-22=78
78+6=84
1500 x 84/100= 1260Dhs
Plss mark as brainliest
the shapes below are mathematically similar 10,14,28,x
WE CAN USE THE SIMILARITY THEOREM WHEREIN
[tex] \frac{14}{28} = \frac{10}{x} \\ [/tex]
THE PROPORTIONS OF SIDES OF THE SIMILAR SHAPES A RE EQUAL.
NOW TO SIMPLIFY WE CAN DO CROSS MULTIPLICATION.
[tex]14(x) = 28(10) \\ 14x = 280 \\ \frac{14x}{14} = \frac{280}{14} \\ x = 20 [/tex]
x is therefore 20cmHorizontal and parallel lines e and f are intersected by diagonal and parallel lines g and h. At the intersection of lines g and e, the bottom right angle is angle 2. At the intersection of lines h and e, the bottom right angle is angle 1. At the intersection of lines f and h, the top left angle is angle 3.
Statements Reasons
1. g || h 1. given
2. ∠1 ≅ ∠2 2. corresponding angles theorm
3. ∠2 ≅ ∠3 3. given
4. ∠1 ≅ ∠3 4. transitive property
5. e || f 5. ?
What is the missing reason in the proof?
vertical angles theorem
alternate exterior angles theorem
converse corresponding angles theorem
converse alternate interior angles theorem
The line e is parallel to f by converse alternate interior angles theorem.
What is converse alternate interior angle theorem?
Converse alternate interior angle theorem states that states if two lines are cut by a transversal and the alternate interior angles are congruent, then the lines are parallel.
What is parallel lines?
Two lines are said to be parallel when they do not meet at any point in a plane. Lines which do not have a common intersection point and never cross path with each other are parallel to each other. The symbol for showing parallel lines is ‘||’.
Given,
angle 1 is congruent to angle 2 and g is parallel to h.
similarly, angle 2 is congruent to angle 3,
by transitive property angle 1 is congruent to angle 3.
By converse alternate interior angle theorem, e is parallel to f.
To know more about converse alternate interior angle theorem and parallel lines, visit:
https://brainly.com/question/19418069
#SPJ10
The price of a sweater was changed from $20 to $12. This is a(n) of %?
Answer:
If the proton proton chain produces gamma ray photons, why are the majority of photons we observe from the sun at visible wavelengths?
Step-by-step explanation:
Answer:If the proton proton chain produces gamma ray photons, why are the majority of photons we observe from the sun at visible wavelengths?
Step-by-step explanation:
Step-by-step explanation:
how do i identify the slope and y-intercept
y=-6x-8
Answer:
the formula of a line is y=mx+c
mx is the gradient/slope and c is the y intercept
so the slope here is -6
the y intercept is -8
hope it helps, mark as brainliest if correct.
is (6,-2) and (8,-3); (15,9) and (13,8) parallel
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the lines above
[tex](\stackrel{x_1}{6}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-3}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{6}}} \implies \cfrac{-3 +2}{2}\implies \boxed{-\cfrac{1}{2}} \\\\[-0.35em] ~\dotfill[/tex]
[tex](\stackrel{x_1}{15}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{13}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{9}}}{\underset{run} {\underset{x_2}{13}-\underset{x_1}{15}}} \implies \cfrac{-1}{-2}\implies \boxed{\cfrac{1}{2}} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \textit{different slopes, \underline{not parallel}}~\hfill[/tex]
A student ran the Turkey Trot 5K (5 kilometers) race on Thanksgiving Day. Using the ratio 1 mile : 1.61 kilometers, which set-up would correctly convert 5 kilometers to miles
The conversion of 5 kiiometers to miles is 3.11 miles
How to convert the distance from kilometers to milesThe given parameters are
Distance covered by the students = 5 kilometers
The ratio of the distance is given as
1 mile : 1.61 kilometers
Multiply both sides of the ratio by 5
So, we have the following ratio expression
5 * 1 mile : 1.61 kilometers * 5
Evaluate the product in the above expression
So, we have the following ratio expression
5 miles : 8.05 kilometers
Divide both sides of the ratio by 1.61
So, we have the following ratio expression
5/1.61 miles : 8.05/1.61 kilometers
Evaluate the quotient in the above expression
So, we have the following ratio expression
3.11 miles : 5 kilometers
Rewrite as
5 kilometers : 3.11 miles
This means that
5 kilometers = 3.11 miles
Substitute 5 kilometers = 3.11 miles in Distance covered by the students = 5 kilometers
So, we have
Distance covered by the students = 3.11 miles
Hence, the distance covered by the students is 3.11 miles
Read more about ratio at
https://brainly.com/question/12535721
#SPJ1
how do you do these problems
The required value of the function is 2
In the case of a function from one set to the other, each element of X receives exactly one element of Y.
The function's codomain and domain are respectively referred to as the sets Y and X as a whole.When a function is defined, the domain and codomain are not always explicitly specified, and one may just be aware that the domain is a subset of a bigger set without having to conduct any (perhaps difficult) computation. In mathematical analysis, "a function from X to Y" typically refers to a function that may have a valid subset of X as its domain.The given function is of the form :
g(x) = - x² - 7
Now let us find the required values.
g (-3) = - (-3)² - 7 = 2
g (-2) = - (-2)² - 7 = -3
g (1 ) = - ( -1 )² - 7 = -6
Hence the required value of the function is 2 at x = -3 .
To learn more about functions visit:
https://brainly.com/question/12431044
#SPJ1
an air conditioning and heating repair firm conducted a study to determine if the average outside temperature could be used to predict the cost of an electric bill for homes during the winter months in houston, texas. the resulting regression equation was: y
Finding the numeric value of the regression line, it is found that the electric bill in a month with temperature of 48 degrees is of $157.59.
How to find the numeric value of a function or of an expression?To find the numeric value of a function, we replace each instance of the variable in the function by the desired value.
In the context of this problem, the function is given as follows:
y = 227.19 - 1.45x.
Which y giving the electric bill for a month of temperature x degrees.
The temperature is of 48 degrees, hence to find the electric bill, the lone instance of x in the function is replaced by 48, hence:
y = 227.19 - 1.45(48) = $157.59.
Hence the electric bill in a month with temperature of 48 degrees is of $157.59.
What is the missing information?The regression line is missing in this problem, as is defined as follows:
y = 227.19 - 1.45x.
In which:
y is the electric bill.x is the monthly temperature.The problem asks for the electric bill in a month with temperature of 48 degrees.
More can be learned about the numeric values of a function at brainly.com/question/28367050
#SPJ1
A bird of species A, when diving, can travel four times as fast as a bird of species B top speed. If the total speeds for these two birds is 170 miles per hour, find the fastest speed of the bird of species A and the fastest speed of the bird of species B.
The fastest speed of the bird of species A is 136 mi/hr. and the fastest speed of the bird of species B is 34 mi/hr.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
A bird of species A, when diving, can travel four times as fast as a bird of species B at top speed which is given in the question.
Let b = the speed of bird species B.
So the speed of bird species A is 4b.
If the total speed for these birds is 170, then there is an equation :
⇒ 4b + b = 170.
⇒ 5b = 170
⇒ b = 170/5 = 34 mi/hr.
So the speed of bird species A will be 4×34 ⇒ 136 mi/hr.
Therefore, the fastest speed of the bird of species A is 136 mi/hr. and the fastest speed of the bird of species B is 34 mi/hr.
Learn more about the equation here:
brainly.com/question/10413253
#SPJ1
Calculate the value of x. Round to the nearest tenth. F 7.8 24 14.8
In this problem bout segment has the same distance so we can write an equation like:
[tex]\begin{gathered} x+7=13+8 \\ x=21-7 \\ x=14\approx14.8 \end{gathered}[/tex]So the answer is 14.8
What is X in this equation
Answer:
13/4 or 3.25
Step-by-step explanation:
Since they are vertical angles, they are equal to each other. Thus, set the two equations together:
8x + 32 = 12x + 19
Isolate x
32 = 12x + 19 - 8x = 4x + 19
32 - 19 = 4x
4x = 13
4x/4 = 13/4 = 3.25
the probability of picking a blue marble out of a bag of 50 marbles is 3/25. how many marbles in the bag are not blue?
Answer:
Okay so the probability is 3 outa 25 half the amount in the bag just add 3 and 3 together (cause 25 is half of 50) you get 6 subtract that from 50 you get 44.
f(x)=(1/7)(7x) what is f(3)
The value obtained for f(3) after substituting x = 3 in the function f(x) is 0.0067.
What exactly is a function?A function from a set X to a set Y assigns exactly one element of Y to each element of X. The set X is known as the function's domain, and the set Y is known as the function's codomain.
What are the Function Formulas?The list of function formulas is divided into two categories: formulas for performing numerous arithmetic operations across functions and formulas for performing combined operations involving two or more functions.
The given function is f(x) = (1/7)/(7x)
We need to find the value of f(3) so we will substitute x = 3 in the given function as follows:
f(3) = (1/7)/(7×3)
∴ f(3) = (1/7)/21
∴ f(3) = 0.142/21
∴ f(3) = 0.0067
Therefore, after substituting x = 3 in the function f(x), the value obtained for f(3) is 0.0067.
Learn more about arithmetic operations of functions here:
https://brainly.com/question/28726030
#SPJ9
Represent the following fractions and decimals in a number line
a. 4/7 b. 7/11 c. 8/5 d 0 /1 e. 2/5 f. 2.5 g. 4.3 h 1.2
Answer:
d, e, a, b, h, c, f, g
Step-by-step explanation:
if you convert them all to decimals you get
a = 0.57
b = 0.64
c = 1.6
d = 0
e = 0.4
f = 2.5
g = 4.3
h = 1.2
in order it goes 0, 0.4, 0.57, 0.64, 1.2, 1.6, 2.5, 4.3
Do the ratios 6:1 and 18:3 form a proportion
Answer:
Yes.
Step-by-step explanation:
18/ 3 = 6
3 / 3 = 1
so, 6 : 1.
Convert 0.000 000 005 78 to scientific notation
Answer: 5.78 × 10 to the negative ninth power
Step-by-step explanation:
Write the equation of the line that passes through the points (−9,−4) and (−5,−1). Put your answer in fully simplified point-slope form, unless it is a vertical or horizontal line.
[tex](\stackrel{x_1}{-9}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{(-4)}}}{\underset{run} {\underset{x_2}{-5}-\underset{x_1}{(-9)}}} \implies \cfrac{-1 +4}{-5 +9} \implies \cfrac{ 3 }{ 4 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{ 3 }{ 4 }}(x-\stackrel{x_1}{(-9)}) \implies {\large \begin{array}{llll} y +4= \cfrac{ 3 }{ 4 } (x +9) \end{array}}[/tex]
Question 3: Kylie needs to spend at least 5 hours each week practicing the piano. She has already practiced 2 and 3/4 hours this week. She wants to split the remaining practice time evenly between the last 3 days of the week. Write an inequality to determine the minimum number of hours she needs to practice on each of the 3 days.
Using proportions with mixed numbers, the inequality to determine the minimum number of hours she needs to practice on each of the 3 days is: m ≥ 3/4.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using operations such as multiplication or division.
One example is the mean of a data-set, as the mean is given by the sum of all observations in the data-set divided by the number of values.
For this problem, we have that:
She has already practiced 2.75 hours, as the decimal part is of 3/4 = 0.75, hence 2 and 3/4 = 2 + 0.75 = 2.75.She needs to practice 5 hours.Hence the minimum number of hours that she still needs to practice is:
5 - 2.75 = 2.25 hours.
The amount is split evenly amount the 3 days, hence the lower bound of the inequality is:
2.25/3 = 0.75 = 3/4.
Hence the amount is given by:
m ≥ 3/4.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
You need a thrust block for the riser for a
fire hydrant. The pyramidal form is 1 foot
high and 18 inches by 16 inches at the
base. How many cubic inches of concrete
will you need?
The number of cubical required are [tex]3456/n[/tex] here n is the area where it is kept.
To find the the number of blocks required, first you are suppose to know the volume of each brick and the area of the place where it is suppose to be kept. The area is not mentioned in this question because it is incomplete.
So, to proceed with it the volume of this block is L×B×H.
Given; length = 18 inches
breadth= 16 inches
and height = 1 foot = 12 inches
Thus Volume of cubical is 18× 16× 12= 3456 inches.
The number of bricks required is [tex]3456/n[/tex] here n represents the area of the place where it is supposed to be kept.
To know more about area and volume visit:
https://brainly.com/question/13789496
#SPJ9
what is the common denominator of "-1/4" + "-2/3"
Answer: 12
Step-by-step explanation:
The 4 in “-1/4” can be multiplied by three.
Three 3 in “-2/3” can be multiplied by four.
These give you the common denominator of 12!
Don’t forget to multiply the numerator by the amount you multiplied the denominator by!
The linear function m = 50 - 9d represents the amount m (in dollars) of money you have
left after buying d DVDs.
a. Interpret the terms and coefficient in the equation.
b. Find the domain of the function. Is the domain discrete or continuous? Explain.
c. Graph the function using its domain.
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
How can you tell whether a domain is continuous or discrete?A domain's discreteness or continuousness can be determined by examining the function's graph. The domain is continuous if the graph is a line. The domain is discrete if the graph consists of a collection of points.
What is a discrete domain example?Private Domain
The values that will be effective for the function are distinct from one another. The maximum number of children you can have, for instance, has a defined answer. You can have 0 children, 1, 2, 3, etc., but not 2,34.
How can you determine a discrete function's domain?Discrete graphs are those in which no lines connect the points. Start by locating all the x-coordinates in order to determine the domain and range of a discrete graph. The graph's entire set of x-coordinates makes up the domain. The graph's entire range of y-coordinates is considered to be the range.
What does a discrete structure's domain mean?The domain is the collection of all possible inputs for a function. The codomain is the collection of all permitted outputs.
What is an example of discrete structures?Graphs, logical assertions, and combinations are a few examples of discrete structures. Infinite or finite discrete structures are both possible. Contrary to continuous mathematics, which works with structures whose values can span the real numbers or have other non-separable qualities, discrete mathematics deals with discrete objects.
To Learn more About Linear function m = 50 - 9d, Refer :
https://brainly.com/question/17097703
#SPJ13
a radio tower is located 350 feet from a building. from a window in the building, a person determines that the angle of elevation to the top of the tower is 42 ∘ and that the angle of depression to the bottom of the tower is 20 ∘ . how tall is the tower? round to the nearest foot.
In linear equation, $ 442.54 tall is the tower.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that contains just one variable. It has the formula Ax + B = 0, with A and B being any two real numbers and x being an ambiguous variable with only one possible value. One such linear equation in one variable is 9x + 78 = 18.Suppose A is the window, B is the top of the tower, C is the bottom of the tower, and D is the point on the tower at the same horizontal level as the window.
Find BD, DC then add these together to give this°.
For BD : AD is 350 ft, the angle CAD is 42.
So BD/350 = tan 42°.
BD = 0.9004 × 350
BD = 315.14
AD/350 = tan20°
AD = 0.364 × 350
AD = 127.4
AD + BD = 315.14 + 127.4 = $ 442.54
Learn more about linear equation
brainly.com/question/11897796
#SPJ9
If you can buy one can of pineapple chunks for $2, then how many can you buy with $10?
(WITH A GRAPH PLEASE)
Answer:
you can buy 5 cans
Step-by-step explanation:
$2 per can
have $10
10 divided by 2
5
Estimate the intercepts of the graph of the function
Answer:
x-intercept equals 5
y-intercept equals -10
Step-by-step explanation:
y-intercept: solve when x=0. y=-2|x-5|= -10
18. Angela cleans sneakers on the weekend to make extra money. She has completed 12
pairs of shoes, which is 20% of her total orders. How many total orders does Angela have
to clean?
The total number of orders that Angela has to clean are 60.
How to calculate the Percentage of a number?A percentage is a certain number or part of every hundred. It is a fraction with the denominator 100, and the symbol for it is "%." To determine the percentage of a number use the percentage formula to transform the problem into an equation: P% * X = YGiven:
Number of pairs of shoes cleaned by Angela = 12
Let the total number of shoes to be cleaned be x.
So,12 pairs of shoes are 20% of her total orders.
20% of x = 12
(20/100)x = 12
0.2x = 12
x = 12/ 0.2
x = 60
Therefore, Angela has to clean a total of 60 pairs of shoes.
To learn more about percentages visit:
https://brainly.com/question/22075424
#SPJ9
Can someone help me solve for
Solve the equation shown: 14 + 5/7x - 20 = 4/7x - 4
The value of x is determined by solving the equation 14 + 5/7x - 20 = 4/7x - 4, which is: x = 14.
How to Solve an Equation?When given an equation, to solve the equation means to find the value of the variable in the equation.
Given the equation:
14 + 5/7x - 20 = 4/7x - 4
Combine like terms
5/7x - 6 = 4/7x - 4
Add 6 to both sides
5/7x - 6 + 6 = 4/7x - 4 + 6
5/7x = 4/7x + 2
Subtract both sides of the equation by 4/7x:
5/7x - 4/7x = 4/7x + 2 - 4/7x [subtraction property of equality]
x/7 = 2
Multiply both sides by 7
x/7(7) = 2(7) [multiplication property of equality]
x = 14
Learn more about equation on:
https://brainly.com/question/25678139
#SPJ1