Yes, the statement is true. If a proportional relation has the point (1, r), then r is the unit rate.
Is the statement true or false?Here we have the following statement:
"The point (1, r) on the graph of a proportional relationship shows the unit rate r."
First, remember that a proportional relationship between two variables x and y can be written as:
y = k*x
There k is what we call the constant of proportionality or the unit rate.
If we evaluate that equation in x = 1, we will get:
y = k*1
y = k
Then we have the point (1, k).
In this case, we know that our proportional relation has the point (1, r), comparing this with the case above, we can see that r is the unit rate of the proportional relation.
So the statement is true.
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Lena decides to make 1 batch of mac-and-cheese
and 3 pizzas. How many tablespoons of basil does
she need?
On solving the provided question, we can say that - equation at factors x= -3 that value of a is = 33
What is factor?A number that divides another number by itself with no residual is known as a factor. In other words, if multiplying two whole numbers results in the creation of a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Division and multiplication are the two ways to discover factors. A number or other mathematical object is factorized or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. One factorization of the polynomial x2 - 4 is 3 5, which is also a factorization of the number 15.
4x^2 + 5x - 8
x = -3
36 + 15 -8
33
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Select two numbers that make the inequality true. 2x - 3 > 1
Answer:
3,4,5,6,..................any number bigger than 3 can be taken as the answer
Answer: 3 and 4
Step-by-step explanation:
2(3) - 3
6 - 3 = 3
3 > 1
2(4) - 3
8 - 3 = 5
5 > 1
Emily needs 12 cups of fruit juice for a punch recipe. The juice comes in quart bottles. How many bottles of juice should Emily buy?
Answer: She should buy 3 bottles
Step-by-step explanation: 1 quart = 4 cups. 4x3=12
The diameter of a circle is 34 inches.What is the area of the circle in square inches?Use 3.14 as pi
Answer: 907.46 inches squared
Step-by-step explanation:
The formula for the area of the circle is:
[tex]A = \pi r^{2}[/tex]
In this question, pi is 3.14. The radius of a circle is half of its diameter. So:
[tex]\frac{34}{2} =17[/tex]
Plug these values into the equation:
[tex]A = (3.14)(17)^2[/tex]
Simplify:
[tex]A = 907.46[/tex]
The area of the circle is 907.46 inches squared.
There are 200 students, where 86 of them were in the athletics team. Therefore, ___% of the students were in the athletics team.
Answer:
43%
Step-by-step explanation:
calculate percentage as
( number of students in athletics team ÷ total students ) × 100%
= ( 86 ÷ 200) × 100%
= 0.43 × 100%
= 43%
A model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time. How many packages of 5 wheels can be made from the 30 wheels?
Answer:
Step-by-step explanation:
6
The number of packages of 5 wheels can be made from the 30 wheels is 6.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, a model car maker puts 5 wheels in each kit. A machine makes 30 wheels at a time.
Now, number of packages of 5 wheels
= 30/5
= 6
Therefore, the number of packages of 5 wheels can be made from the 30 wheels is 6.
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Find the slope of the line that passes through (7, 1) and (2, 8).
Answer:
-7/5
Step-by-step explanation:
(1-8)/(7-2)= -7/5
Answer:-1.4
Step-by-step explanation: The slope or gradient is given by
Slope=y2-y1÷x2-x1.
From the problem
X1=7
Y1=1
X2=2
Y2=8
Thus we will have
Slope=(8-1)÷(2-7)
=7÷(-5)
=-1.4
In AGHI, the measure of
G=76º, and IG = 6.2 feet. Find the length of HI to the nearest tenth of a foot.
Tiffany's mother bought a car for $9000 five years ago. She wants
to sell it to Tiffany based on a 15% annual rate of depreciation.
Answer:
I would say the answer would be 1350 because 15 percent of $9000 would be 1350
I. Direction: Write the following statement as equations. Write your answers
on a sheet of paper.
1. Four times a number minus twenty-nine is eleven.
2. The product of four less than thrice a number and two will result to forty-
six.
be
3. Three-fifths of a number plus eight is fifty.
II. Direction: Translate the following Algebraic expressions to word phrases.
Write your answers on a sheet of paper.
4.) 51 - (x+5)
5.) 3(y-8)
Answer:
1. 4x - 29=11
2. (3x - 4) (2) = 46
3. 3/5x + 8 = 50
4. The difference of 51 and the sum of x and 5.
5. The product of 3 and y minus eight.
Step-by-step explanation:
There are 342 employees at a work site. The ratio of women to men is 4 to 5. How many of the employees at this work site are women?
The question is in the picture I would appreciate if you could explain how to get the answer thank you.
Answer: the cost for Internet increase by 5/4 per minute
Step-by-step explanation:
Find the sine pls help
Answer:
7/25 is correct answer dude
Solve the following problems using completing the Square
Martha and Miguel volunteered in a Tree Planting Program offered by the school. They also donated packs of seeds for the program. The number of Martha's seeds is represented as 2x-3 packs while Miguel's seeds is twice the number of Martha's seeds. If the product of Martha and Miguel's Pack of seed is 50, how many packs of seeds Martha and Miguel donated?
[Write it on paper please ]
Using factorization method to solve the quadratic equation, the number of seed Martha and Miguel donated are 5 and 10 respectively
What is Quadratic EquationA quadratic equation is an equation of the form ax2 + bx + c = 0, where a, b, and c are constants, and x is an unknown variable. The solution to such an equation is a value of x that will make the equation true.
To determine the number of seeds they donated, we have to write two equations and solve.
data;
Martha = 2x - 3Miguel = 2[2x - 3] = 4x - 6The product of the seeds is (2x - 3)(4x - 6) = 8x² - 24x + 18
This can be written as
8x² - 24x + 18 = 50
Solving the quadratic equation;
8x² - 24x + 18 - 50 = 0
8x² - 24x - 32 = 0
Using factorization method;
8(x - 4)(x + 1) = 0
x - 4 = 0, x = 4
x + 1 = 0, x = -1
x = 4, x = -1
The number of packs Martha donated is
Martha = 2x - 3 = 2(4) - 3 = 5
The number of packs Miguel donated is
Miguel = 2 * 5 = 10
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10x - 4(2x + 1) simpifly PLEASE
Answer:
2x - 4
Step-by-step explanation:
10x - 4 ( 2x + 1 )
= 10x - 8x - 4
= 2x - 4
The histogram shows the number of items that customers bought during a trip to the grocery story 1 day. 400 customers took a trip to the grocery store that day. Which is the best estimate for the number who bought at least 50 items during their trip
The number of people who bought fewer than 30 items exists 204.
What is meant by histogram?The frequency distribution of a few data points for one variable is represented graphically by a histogram. Heterogeneous "bins" or "range groups" are frequently used in histograms in order to categorize data and count the number of data points that are part of each bin.
Among graphing tools, the histogram is widely used. It is utilized to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.
As opposed to bar charts, which show categorical variables, histograms visualize quantitative or numerical data. Typically, a histogram's numerical data will be continuous (having infinite values).
Number of people who bought fewer than 30 items
= (0.14 + 0.12 + 0.24)400
= 0.51 x 400 = 204
Therefore, the correct answer is option B) 204.
The complete question is:
The histogram shows the number of items that customers bought during a trip to the grocery store one day. Four hundred customers took a trip to the grocery store that day. Which is the best estimate for the number who bought fewer than 30 items during their trip?
A) 278
B) 204
C) 148
D) 106
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Please help ASAP it’s timed
Urgent!!!
What is the missing angle?
Answer: all angles must ad up 20 180
Step-by-step explanation:
I looked it up
Pls help 1-6 example at the SIDE
Give an MN find the value of X and Y
9514 1404 393
Answer:
x = 21y = 114Step-by-step explanation:
Consecutive interior angles are supplementary:
(6x +6)° +(3x -15)° = 180°
9x -9 = 180 . . . . . . . . . . . . . . simplify, divide by °
x -1 = 20 . . . . . . . . . . . . divide by 9
x = 21
__
Angles of a linear pair are supplementary:
(3x -15)° +(y +18)° = 180°
3(21) -15 + y + 18 = 180 . . . . substitute for x, divide by °
y = 114 . . . . . . . . . . . . . . . . . . subtract 66
consider the equations t(n)=2n-5 and f(x)=2x-5
Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.
Analyze the equation.A mathematical equation seems to be a formula that links two statements and signifies equivalence with the equals sign (=). In algebra, a scientific claim that confirms the equality two two mathematical abstractions is referred to as an equation. For instance, the answer obd + 6 = 12 has an equal sign between the elements ptdc + 6 and 12, respectively. There is a mathematical formula that describes the connection between the two syllables on either side of a letter. Frequently, the symbol and the single variable are the same.
Here,
f(x)=2x-5 and t(n)=2n-5 are given.
A) They both depict the sequence.
B) Unless the expression is undefined, the domain of both the expression seems to be all real numbers. In this instance, the phrase is defined despite the lack of a real number.
(−∞,∞) is an interval notation.
{x|x ∈ R} is the Set-Builder Notation.
Therefore , the solution of the given problem of equation comes out to be (−∞,∞) is an interval for domain.
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In a certain year, 31% of adults in a certain country viewed college education as essential for success. For the following ten-year period, this percentage increased by approximately 2. 6 each year.
The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by __
The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.
What is the percentage function?
To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100. Percentage formula = (Value/Total value) × 100. Example: 2/5 × 100 = 0.4 × 100 = 40 per cent.
The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function:
P(x) = 31 + 2.6x
Where P(x) is the percentage of adults who viewed college education as essential for success x years after the first year, and x is the number of years after the first year.
The function shows that the percentage increase by 2.6 every year for x years after the first year, and the initial percentage is 31%.
This function is representing a linear trend since the coefficient of x is constant.
Hence, The percentage of adults from this country who viewed a college education as essential for success x years after the first year can be represented by the function P(x) = 31 + 2.6x.
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Arelli uses 6.9 pints of white paint and blue paint to paint her bedroom walls. 3/4 of this amount is white paint, and the rest is blue paint. How many pints of blue paint did she use to paint her bedroom walls?
Answer:
1.73
Step-by-step explanation:
Arelli use 6.9 pints of white and blue paints for her bedroom
3/4 of this amount is white
3/4
= 0.75×100
= 75
100-75
= 25
Amount of blue paint is
25/100×6.9
= 0.25×6.9
= 1.73
17. Find x. Round to the nearest tenth if necessary. Assume that segments that appear to be
tangent are tangent.
o
11
Find x. Round to the nearest tenth if necessary.
19
8
9
12
15
27
Answer:
x=19
Step-by-step explanation:
9*(9+15)=8*(8+x)
9*(24)=8(x+8)
216=8x+64
216-64=8x+64-64
152=8x
152/8=8x/8
19=x
x=19
The diagram shows two proportional right triangles.
What is the perimeter of the larger triangle?
Answer:
48 units.
Step-by-step explanation:
Since the triangles are similar (proportional), their dimensions are increased at the same ratio at any point, which means their perimeter too. So the base of the larger triangle is twice as long as the base of the smaller triangle.
The perimeter of the smaller triangle is 10 + 6 + 8 = 24 units.
24 * 2 = 48. Because the ratio of increase is 2:1 from the bigger triangle to the smaller triangle.
Hope you could understand this,
Please help with this question I’m confused on it
PLEASE HELPP
A. Triangle ABC is similar to triangle DEF.
B. The value of x is 21.
What are similar triangles?
If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are items that feature more than two figures that are the same shape but different sizes.
Here, we have
Given a triangle and we have to show both triangles are similar.
A. ABC will be similar to DEF if two sides along with their corresponding angle of ABC is equal to two sides and their corresponding angle of DEF. ABC will be similar to DEF if the corresponding ratios of all sides of both triangles are equal to each other.
Hence, triangle ABC is similar to triangle DEF.
B. By the property of similar triangles,
= AB/DE = AC/DF
= 14/x = 10/15
x = 21.
Hence, the value of x is 21.
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Solve −1/5x=6 (probably very easy but I zoned out and missed a lot)
Answer:
-30
Step-by-step explanation:
-1x/5 = 6
-x/5 = 6
-x = 30
x = -30
Please answer with explanation
Answer:
(a)- 2 [ ( - \frac { 1 } { 4 } ) - 12 ( - 1 ) ^ { 2 } ] - 5 [ 24 + 2 ( - 12 ) ] ^ { 2 }−2[(−
4
1
)−12(−1)
2
]−5[24+2(−12)]
2
Do the arithmetic.
Calculate -1−1 to the power of 22 and get 11.
-2\left(-\frac{1}{4}-12\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−
4
1
−12)−5(24+2(−12))
2
Subtract one term from another.
Subtract 1212 from -\frac{1}{4}−
4
1
to get -\frac{49}{4}−
4
49
.
-2\left(-\frac{49}{4}\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−
4
49
)−5(24+2(−12))
2
Multiply two factors together.
Multiply -2−2 and -\frac{49}{4}−
4
49
to get \frac{49}{2}
2
49
.
\frac{49}{2}-5\left(24+2\left(-12\right)\right)^{2}
2
49
−5(24+2(−12))
2
Multiply two factors together.
Multiply 22 and -12−12 to get -24−24.
\frac{49}{2}-5\left(24-24\right)^{2}
2
49
−5(24−24)
2
Subtract one term from another.
Subtract 2424 from 2424 to get 00.
\frac{49}{2}-5\times 0^{2}
2
49
−5×0
2
Multiply two factors together.
Multiply 55 and 00 to get 00.
\frac{49}{2}-0
2
49
−0
Add two terms together.
Subtract 00 from \frac{49}{2}
2
49
to get \frac{49}{2}
2
49
.
\frac{49}{2}
2
49
2
49
=24.5
(b)−a
2
b
2
−3a
3
b
2
a=−
3
1
b=−1
Step-by-step explanation:
Hope it helps u
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Celine flipped a coin 100 times. She flipped heads 41 times and tails 59 times. What is the experimental probability that the next flip will be heads? Write your answer in fraction, decimal, and percent.
Answer:
B . 1/2
Step-by-step explanation:
In this situation each experiment does not affect the probability of the next one. That is, each experiment is independent of the rest. Hence, independently of the result of the first 100 times the next probability in which Celine does the experiment, the propability will be 1/2.
A)Mark and Jada share 5 yards of ribbon equally. How much ribbon will each get
B)It takes half of a yard of ribbon to make a bow. How many bows can be made with 5 yards of ribbon?