The statement that must be true is (a) the values x = 1 and y = 4 make the equation true.
How to determine the statement that must be true?From the question, we have the following parameters that can be used in our computation:
The point (1, 4) is on the graph of an equation
This means that
x = 1 and y = 4
The above does not represent the only value that make the equation true.
However, the point can make the equation true
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What value of x makes this equation true?
12x - 15 = 6 - 3x
7/3
5/7
3/7
7/5
What is the factored form of 3x+24y? 3(x+8y) 3xy(x+8y) 3(3x+24y) 3xy(3x+24y)
Answer:
yall its AAAAAAAA
Step-by-step explanation:
TRUST ME
The factorized expression of the expression is 3(x + 8y)
What is a factorized expression?A factorized expression is an expression written in a simpler form
The expression is given as:
3x + 24y
Factor out 3 in the expression
3x + 24y = 3(x + 8y)
Hence, the expressions when multiplied that give the expression are 3 and x + 8y
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Find the area of the figure.
Answer:
Step-by-step explanation:
29
Answer:
area of the given figure is 25cm²
Step-by-step explanation:
as there are 20 full square of area 1 cm²
and 10 half squares of area 0.5cm²
The three most popular ice cream flavors are chocolate, strawberry, and vanilla, comprising 97% of the flavors sold at an ice cream shop. If vanilla sells 10% more than twice strawberry, and chocolate sells 7% more than vanilla, how much of the total ice cream consumption are the vanilla, chocolate, and strawberry flavors?
Using a system of equations, it is found that:
38% consumes vanilla.14% consumes strawberry.45% consumes chocolate.In our system, we have that:
x is the percentage of vanilla.y is the percentage of strawberry.z is the percentage of chocolate.Those 3 compromise 97% of the flavors, hence:
\(x + y + z = 97\)
Vanilla sells 10% more than twice strawberry, hence:
\(x = 10 + 2y\)
Chocolate sells 7% more than vanilla, hence:
\(z = x + 7\)
Since \(x = 10 + 2y\)
\(z = 10 + 2y + 7\)
\(z = 2y + 17\)
Replacing in the first equation, we can solve for y:
\(x + y + z = 97\)
\(10 + 2y + y + 2y + 17 = 97\)
\(5y = 70\)
\(y = \frac{70}{5}\)
\(y = 14\)
With y, we can solve for x and for z.
\(x = 10 + 2y = 10 + 2(14) = 38\)
\(y = 2y + 17 = 2(14) + 17 = 45\)
Hence:
38% consumes vanilla.14% consumes strawberry.45% consumes chocolate.A similar problem is given at https://brainly.com/question/24778333
This is a pic of my question..
Answer:
The answer is c
Step-by-step explanation:
5x+3y=19
multiply x 2: 10x+6y=38
2x-4y=-8
multiply by -5: -10x+20y=40
now you can add the two equations:
10x+6y=38
-10x+20y=40
add equations 0x+26y=78
Y=3
how many different types of products sold in ar? multiple choice 3 5 6 7 4 4. which product sold the most in ar? multiple choice 4 stout imperial stout ipa pale ale
There are 6 different types of products sold in AR. Among these products, the one that sold the most is IPA (India Pale Ale). IPA is a popular choice among consumers due to its distinct flavor and versatility.
AR, or Arkansas, is known for its growing craft beer scene, so it's no surprise that there are many different types of products sold in the state. According to recent data, there are a total of six different types of products sold in AR.
The answer is imperial stout, which is a type of beer known for its high alcohol content and rich, roasted flavors. While pale ale and IPA are also popular choices among beer enthusiasts in AR, imperial stout seems to be the clear winner in terms of sales.
In conclusion, if you're looking to try some of the most popular products sold in AR, be sure to give imperial stout a try. Its complex flavors and high alcohol content make it a perfect choice for those who appreciate a strong and bold beer.
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Carson runs a farm stand that sells strawberries and bananas. Each pound of strawberries sells for $3 and each pound of bananas sells for $1.50. Carson sold 4 times as many pounds of strawberries as pounds of bananas and he made $135 altogether. Graphically solve a system of equations in order to determine the number of pounds of strawberries sold, x, and the number of pounds of bananas sold, y.
Answer:
3.33
Step-by-step explanation:
The tip of a 6 inch minute hand of a clock sweeps out circular arcs.
What is the length of the arc made by the tip of the minute hand between 5:35 and 5:45?
Use 3.14 for pi. Round your answer to the nearest hundredth.
Enter your answer in the box.
in.
Answer:
6.28 inch =6inch approx is your answer
Step-by-step explanation:
60minute=360°
{5:45-5:35=10)
10minute =360/60×10=60°
radius (r)=6inch
now
length of arc =60/360 ×2πr
=60/360×2×3.14×6=6.28 inch
in a poisson distribution, the mean and variance are equal.T/F
Answer: True
Step-by-step explanation:
In a Poisson distribution, the mean and variance are both equal to λ, where λ is the parameter that represents the average number of occurrences in a fixed interval of time or space. The probability mass function of a Poisson distribution is given by:
P(X = k) = (e^(-λ) * λ^k) / k!
where X is the random variable that represents the number of occurrences, k is a non-negative integer, e is the base of the natural logarithm, and k! is the factorial of k.
The mean of a Poisson distribution is given by:
E(X) = λ
and the variance is given by:
Var(X) = λ
Since the mean and variance are equal, it follows that:
E(X) = Var(X) = λ
A manufacturer wishes to make a cereal box in the shape of a golden rectangle, based on the theory that this shape is the most pleasing to the average customer. If the front of the box has an area of 104 in2, what should the dimensions be? Round to the nearest inch. a. 7 x 11 b. 8 x 13 c. 16 x 20 d. 6 x 9
Approximately 8 x 13 inches should be the dimensions, which is option (b).
We'll employ the idea of the golden rectangle and the designated region of the box's front to resolve this issue.
The golden ratio, or nearly 1.618, is the length to width ratio of a rectangle.
Let the rectangle's width be x inches.
The golden ratio states that the rectangle will have a length of 1.618 inches.
The rectangle's area is specified as 104 square inches.
We'll now construct an equation utilising the area formula:
Area = Length x Width
104 = (1.618x)(x)
Solve for x:
\(104 = 1.618x^2\)
\(x^2 = 104/1.618.\)
\(x^2 \approx 64.24\)
\(x \approx 8\) inches (rounded to the nearest inch)
Now, find the length using the golden ratio:
Length = 1.618 x Width
Length ≈ 1.618(8)
Length ≈ 12.94 inches
Length ≈ 13 inches (rounded to the nearest inch).
Note: A rectangle is a geometric shape characterized by having four sides and four right angles.
It is a type of quadrilateral with opposite sides that are equal in length.
Here are some key points about rectangles:
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Daniel mowed more than 12 lawns last week.Which graph models the possible number of lawns Daniel mowed last week
Answer:
12 < x
Step-by-step explanation:
x represents the numebr of lawns he mowed last week
also i don't see any graphs.
Mr. Savage used 3 gallons of paint to cover 1,350 square feet of wall space. At this rate, how much paint will be needed to cover 1,800 square feet?
Subtraction is the process of taking one quantity away from another, or finding the
difference
total
product
What percent of newborn African lions weigh less than 3 pounds? b. What percent of newborn African lions weigh more than 3.8 pounds?
The weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.
To determine the percentage of newborn African lions that weigh less than 3 pounds and the percentage that weigh more than 3.8 pounds, we would need statistical data on the weight distribution of newborn African lions. Since we don't have that information, we cannot provide the exact percentages.
However, if we assume that the weights of newborn African lions follow a normal distribution, we can use the properties of the standard normal distribution to make an estimation.
For the percentage of newborn African lions weighing less than 3 pounds:
We would need to know the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3 pounds and then find the corresponding percentage using a standard normal distribution table. Without this information, we cannot provide an accurate estimation.
For the percentage of newborn African lions weighing more than 3.8 pounds:
Similarly, we would need the mean and standard deviation of the weight distribution to calculate the Z-score for a weight of 3.8 pounds and find the corresponding percentage using a standard normal distribution table. Without the required information, we cannot provide a specific estimation.
Please note that the weight distribution of newborn African lions may not necessarily follow a normal distribution, and the actual percentages can vary based on the specific data available.
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rack heights vary from a few rack units to many rack units. the most common rack heights are 24u and 42u. how tall is a 24u rack?
A 24U rack is approximately 44.5 inches (113.03 cm) tall.
What is Expression in math ?
An expression is made up of one or more integers or variables, as well as one or more operations.
The "U" unit in a rack height refers to unit of measurement for the height of equipment in a standard 19-inch server rack.
1U is equal to 1.75 inches (4.45 cm)
so, 24U is equal to 24 * 1.75 inches = 42 inches (106.68 cm).
However, in practice, the height of a 24U rack is typically slightly taller to account for the height of the mounting brackets and other hardware.
Hence, A 24U rack is approximately 44.5 inches (113.03 cm) tall.
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Which expression is equivalent to 83 ⋅ 8−7? (1 point)
a
fraction: 1 over 8 to the power 10
b
1 over 8 to the power 4
c
810
d
84
\(8^{3} \cdot 8^{-7} =8^{-4}=\boxed{\frac{1}{8^4}}\)
the questionnaire is a carefully constructed measurement instrument. group of answer choices true false
Yes, its true that the questionnaire is very carefully constructed by an individual to provide the measurement instrument.
A questionnaire is a studies device which includes a sequence of questions for the motive of amassing facts from respondents. Questionnaires may be concept of as a form of written interview. A questionnaire is a listing of questions or gadgets used to collect facts from respondents approximately their attitudes, experiences, or opinions.
Questionnaires may be used to acquire quantitative and/or qualitative facts. Questionnaires are generally utilized in marketplace studies in addition to withinside the social and fitness sciences. Questionnaires are typically taken into consideration to be excessive in reliability. This is due to the fact it's miles feasible to invite a uniform set of questions. Any troubles withinside the layout of the survey may be ironed out after a pilot study. The greater closed questions used, the greater dependable the studies.
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How many rebounds should your team expect to have in 15 missed shots?
It is unlikely that the projected rebounds in 15 shots will actually happen.
Explain about the term probability?A probability is a scaled version of the likelihood or chance that a specific event will take place. Both percentages with values ranging from zero to one and percentages extending from 0% to 100% can be used to describe probabilities.Total shots fired equals 10.
To find that there were 15 shots total.
Consider S to be the likelihood that your team will rebound and miss a shot.
P(S) = Number of rebounds / Total Number of outcomes
P(S) = 7/15
P(S) = 0.46
Consequently, it is unlikely that the projected rebounds in 15 shots will actually happen.
Thus, it is unlikely that the projected rebounds in 15 shots will actually happen.
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The complete question is-
During a basketball game, you record the number of rebounds from missed shots for each team. How many rebounds should your team expect to have in 15 missed shots?
Picture for question is attached.
20. Graph the absolute value function f(x) = |x – 2| on the coordinate plane someone please answer showing work on how to do this problem
The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.
The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.
We have,
The absolute value function f(x) = |x – 2| is a piecewise function that returns the positive distance between the input value x and the number 2.
Geometrically,
It represents the distance of a point on the number line from point 2.
On the coordinate plane,
The graph of the absolute value function is V-shaped, with its vertex at the point (2, 0).
The two arms of the V extend indefinitely in opposite directions, passing through the points (-∞, 2) and (2, +∞) on the positive and negative sides of the x-axis, respectively.
Thus,
The absolute value function f(x) = |x – 2| takes a non-negative value for all real numbers x, and it returns 0 only when x = 2.
The graph of f(x) is symmetric about the vertical line x = 2 and has a vertical asymptote at x = 2.
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Find the slope of the line passing through the points (5,9) and (5, - 7)
Answer:
9/11
Step-by-step explanation:
HCF of 220 and 8?? I need the answer quick I’m just doing my homework right now
Answer:
4
Step-by-step explanation:
the prime factors for each is
220 = 2 ×2×5×11
8 = 2×2×2
so the HCF =2×2 = 4
when 3+3x-5-8x is simplified, the result is?
Answer:
−5x−2
Step-by-step explanation:
one hundred twenty-five billion, three hundred nine million, eight hundred sixty-two thousand, seven hundred forty
Answer:
135,309,862,740 is your answer.
Prove the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus. Find the slope of ef and gd.
The slope of ef and gd can be found by using the formula: slope = (y2 - y1) / (x2 - x1) where ef = (x1, y1) and gd = (x2, y2) are the coordinates of the points e and g.
Isosceles Trapezoid Form A RhombusA rhombus is a quadrilateral with all sides equal in length. To prove that the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus, we can use the following properties of an isosceles trapezoid:- The two bases (the parallel sides) are congruent.
- The two legs (the non-parallel sides) are congruent.
- The diagonals of the trapezoid bisect each other.
Using these properties, we can see that:- The midpoints of the legs are congruent, since the legs are congruent.
- The midpoints of the bases are congruent, since the bases are congruent.
- The segments joining the midpoints of the legs and the bases are congruent, since they are both the same distance from the midpoint of the bisected diagonal.
Therefore, the segments joining the midpoints of the sides of an isosceles trapezoid are congruent, and since they are congruent they form a rhombus.The slope of ef and gd can be found by using the formula: slope = (y2 - y1) / (x2 - x1) where ef = (x1, y1) and gd = (x2, y2) are the coordinates of the points e and g.
Since the slope of the line perpendicular to the diagonals of a rhombus is always opposite reciprocal, the slope of ef and gd are opposite reciprocal, which means:the slope of ef = -1/slope of gd.
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Sarah bought 6 rolls of paper towels. She got 214.2 meters of paper towels in all. How
many meters of paper towels were on each roll?
Answer:
35.7 meters
Step-by-step explanation:
Literally all you do is divide the overall amount by how many rolls there were. That easy.
if you get $15 every week. how many weeks would it take to earn $319
Answer:
About 22 weeks
Step-by-step explanation:
Count the remainder as another week.
Answer:
21.27 weeks
Step-by-step explanation:
15x = 319
15x / 15 = 319 / 15
319 / 15 = 21.27
To check:
$15per week × 21.27 = $319.05
a radiator contains 6 liters of a 48% antifreeze mixture. how much pure antifreeze should be added to make a mixture that is 74% antifreeze
The amount of pure antifreeze to be added to make a mixture that is 74% antifreeze is; 3 liters
How to solve linear equation word problems?A linear equation of one variable is defined as an equation in terms of only one variable of degree 1. A multi-step linear equation is defined as a linear equation that can be solved using multiple algebraic operations on both sides of the equation.
This seems like starting with 6 and ending up with 6.
Let x represent the amount to be drained and replaced
The % antifreeze equation:
0.48(6) - 0.48(x) + 1(x) = 0.74(6)
2.88 - 0.48x + x = 4.44
0.52x = 4.44 - 2.88
0.52x = 1.56
divide both sides by 0.52 gives us;
x = 1.56/0.52
x = 3 liters of pure antifreeze to be added to make a mixture that is 74% antifreeze
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Jemima has to post 2 books to her sister. She weighs them on the kitchen
scales, which gives readings correct to the nearest 5g.
"Algebra made Easy" is weighed at 450g.
"Terrible Trigonometry" is weighed at 95g.
She packs them using wrapping that is weighed at 120g.
The post office charges 79p for the first 510g of any parcel, and then 11p for
each extra 40g.
Find the maximum that Jemima might have to pay to post the parcel.
Pls answer it’s urgent I’ll give brainliest
Answer:
All three products were already rounded to the nearest 5g.
"Algebra made Easy" 450g
“Terrible Trigonometry" 95g
Wrapping 120g
867.107844 Is the maximum Jemima might have to pay to post the parcel.
Step-by-step explanation:
510 divided by 79 = 6.455g per 510g
665g total of products so divide 665 by 510 now to get 1.30392157g per weight which brings us to the maximum total of 867.107844
What is the perimeter of the framed picture in terms of x? ( x + ) inches
Answer:
8x + 36
Step-by-step explanation:
Answer:
8 and 36
Step-by-step explanation:
the set of integers greater than 50