Answer:
c) -2.
Step-by-step explanation:
(x + 5)(x - 7)
= x^2 - 7x + 5x - 35
= x^2 - 2x - 35
Compare with
x^2 + bx - 35
we see that b = -2.
9. The density of an
object can be found by taking its mass and dividing by its volume.
equation to represent the relationship between
the three quantities
Write an (density, mass, and volume) in each situation. Let the density, D, be measured in
grams/cubic centimeters (or g/cm'3).
a. The mass is 500 grams
and the volume is 40 cubic centimeters.
b.
The mass is 125 grams and the volume is u cubic centimeters.
C.
The volume is 1.4 cubic centimeters and the density is 80 grams per cubic
centimeter.
d bnt
d. The mass is m grams and the volume is v cubic centimeters.
(From Unit 2, Lesson 2
When the mass is 500 grams and the volume is 40 cubic centimeters then density is 12.5 gm per cc.
When the mass is 125 grams and the volume is 1.4 cubic centimeters then density is 89.28 gm per cc.
What is a simple definition of density?The amount per unit of length, area, or volume as. a: a substance's mass per unit volume. b: the distribution of an amount (such as mass, electricity, or energy) per unit, typically of space.
D = M/V
a) M = 500 gms
V = 40 cubic cm
D = 500/40
D = 12.5 gm per cc
b) M = 125 gms
V = 1.4 cubic cm
D = 125/1.4
D =89.28 gm per cc
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What is 3 2/5 plus 2 1/5?
Answer: 5 3/5
Step-by-step explanation:
3 + 2 = 5
2/5 + 1/5 = 3/5
5 + 3/5 = 5 3/5
Hope this helps!
How many more pounds of milk chocolate were sold than white chocolate at the candy store last week?
Responses
A 18
B 18 2/3
C 19
D 19 2/3
Answer:
the answer for your question is option A
Answer:b
Step-by-step explanation:
A kite is gliding 74 feet above sea level. There is a stingray coasting 7 feet below sea level. What is the vertical distance between the kite and stingray.
The vertical distance between the kite and stingray is 81 feet.
Given that, a kite is gliding 74 feet above sea level. There is a stingray coasting 7 feet below sea level.
What is the vertical distance?Vertical distance or vertical separation is the distance between two vertical positions. Many vertical coordinates exist for expressing vertical position: depth, height, altitude, elevation, etc.
The vertical distance between the kite and stingray is
74-(-7)
= 74+7
= 81 feet
Therefore, the vertical distance between the kite and stingray is 81 feet.
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The table shows deshawna's science grade during four grading periods. How much greater was the percentage change in her grade from grading period 1 to 2 than from grading period 2 to 3. round to nearest tenth
Since the percent grade in period 1 was 92% and in period 2 was 96%, then the percent change from period 1 to 2 was 4%.
Since the percent grade in period 2 was 96% and in period 3 was 99%, then the percent change from period 2 to 3 was 3%.
Since 4% is 1% greater than 3%, then the percent change from grading period 1 to 2 was 1% greater than the percent change from grading period 2 to 3.
Therefore, the answer is: 1.0%.
We can desribe 15x-10 as an expression.
We would describe 6x-2<35 as an
We can describe 15x-10 as an expression.
We would describe 6x-2<35 as an inequality.
What is an inequality?In mathematics, inequalities characterize the connection between two non-equal numbers. Inequality means being unequal. If two values are not equal, we use the "not equal symbol". However, various inequalities are employed to compare the numbers, whether they are less than or higher than.
An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions. It is most commonly used to compare two numbers on the number line based on their size. In the illustration above, there's a less than sign. This means that it's an inequality.
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i need help with this sorry I cant give much
Answer:
[tex]\frac{11}{20}[/tex]
Step-by-step explanation:
2[tex]\frac{3}{4}[/tex] ÷ 5
Convert mixed number fraction to improper fraction
[tex]\frac{11}{4}[/tex] ÷ 5
To divide fractions we turn the second fraction (the one you want to divide by) upside down (this is now called a reciprocal) and we multiply
[tex]\frac{11}{4}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{11}{20}[/tex]
Math
Classify each algebraic expression below as polynomial or non-polynomial
In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.
How are polynomials and non-polynomials categorized?
There are two ways to categorize polynomials: by degree and by number of terms. According to degree, polynomials can be classified as zero, linear, quadratic, or cubic. Monomials, binomials, trinomials, etc. are the different types of polynomials based on the quantity of terms.
A polynomial is, in general, an expression containing more than one term and non-negative integral exponents of a variable. A polynomial expression might look like this: ax + by + ca, x3 + 2x + 3, etc.
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Students make 93.5 ounces of liquid soap for a craft fair they put the soap in a 8.5 ounce bottles and sell each bottle for 5.50 how much do the students earn if they sell all the bottles of liquid soap
For a craft show, students make 93.5 ounces of liquid soap. They package the soap in 8.5 ounce bottles and charge $5.50 per bottle. The students will earn $60.5.
Given that,
For a craft show, students make 93.5 ounces of liquid soap. They package the soap in 8.5 ounce bottles and charge $5.50 per bottle.
We have to find how much money will the students make if they sell all the liquid soap bottles.
Total amount of liquid soap prepared by the students for a craft fair = 93.5 ounces
Weight of each bottle in which students poured the soap = 8.5 ounces
Let us first calculate the number of bottles, each contains 8.5 ounces of soap from 93.5 ounces of soap.
So, Number of bottles = 93.5/8.5
= 11
So, 11 bottles are prepared which contains 8.5 ounces of soap from 93.5 ounces of soap.
The amount at which each bottle is sold = $5.50
The total amount earned by selling all the bottles of liquid soap = 11×5.50
= $60.5
Therefore, the students will earn $60.5 if they sell all the bottles of liquid soap.
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1.
Rule/Equation: y = slope (x) +/- y-intercept
OR y = m(x) +/- b
X
2
6
10
14
18
y
12
8
4
0
TABLES TO EQUATIONS #2
-4
Slope (growth rate):
y-intercept (starting value):
2
Equation:
Answer:
Step-by-step explanation:
x y
2 12
6 8
10 4
14 0
18 -4
The slope is the Rise/Run, or change in y over the change in x. Pick any two points. I'll choose (2,12) and (18,-4),
Rise = (-4 - 12) = -16
Run = (18 - 2) = 16
Slope = Rise/Run = -16/15, or -1
The equation becomes y = -1x + b
To find b, use any of the points in the equation and solve for b. I'll use (14,0):
y = -1x + b
0 = -1(14) + b
b = 14
The equation is y = -x + 14
See the attached graph.
Algebra homework pls help
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. The equation 9 x 5 = 45 consists of the two equations are separated by the 'equal' sign.
Detailed explanation:Assume that a team has N players.
Each squad may have anywhere from 3 to 5 players, so
3 ≤ 5 ...(i)
Let P represent a player's total points in a single game round.
Each round of the game allows for a maximum of 10 points for each player, so
0 ≤ p ≤ 10 ....( i)
(1) Elena assembled a team of five people.
As a result, 5 players' points in 1 round equal 5P.
Equation (ii) yields the range of
0 ≤ 5p ≤ 50.
As a result, Elena's team's points total ranges from 0 to 50.
(2) If each shot is off by one point, then
One player's points in one round are equal to 10-1=9.
So, 9 x 5 = 45 points were collected by 5 players in 1 round.
(3) Assume that R represents the number of teams as an integer.
the game involves at least three teams, therefore
R ≥ 3 ...( iii)
Given that N players make up one team,
R team has NR players, where R is 3, 4, or more.
Next, using equation (i)
3R ≤ 5R
Therefore, the number of players ranges from 3R to 5R if there are at least 3 teams.
The game can have anywhere from 3x3=9 to 5x3=15 players when R=3.
Answer:
(I) Between 0 and 50.
(ii) Between 3 and 5.
(iii) Between 3R and 5R, where R = 3,4,5,...
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What is the area of trapezoid ABCE?A20 mB16 mEDC25 msq m
Given data:
The given figure of the trapezium.
The expression for the area of the trapezium is,
[tex]\begin{gathered} A=\frac{1}{2}(20\text{ m+25 m)(16 m)} \\ =360m^2 \end{gathered}[/tex]Thus, the area of the given trapezium is 360 sq-m.
Please help! Consider the following diagram where the regular polygon ABCDE has center at M, polygon DEHGF is irregular, and point D is on CF.Which of the following statements are correct? Select all that apply.
Solution:
From the given diagram;
The statements that are correct about the given diagram are
b)
[tex]m\angle EDC=108\degree\text{ \lparen Interior angle of a regular pentagon\rparen}[/tex]d) The sum of exterior angles of a polygon is 360°,
Hence, the sum of the exterior angles of polygon ABCDE and the sum of exterior angles of polygon DEHGF is 720°
e)
[tex]m\angle ABM=m\angle DCM[/tex]In a company 80/ of workers are men if 1120 people workfor the company who aren’t men how many workers are there in all
Answer:
if you meant %, the answer is 2016
Step-by-step explanation:
1120 + 80% is 2016
25.6 = 8x solve for x
Answer:
x = [tex]\frac{16}{5} = 3\frac{1}{5} = 3.2[/tex]
Step-by-step explanation:
25.6 = 8x
Divide both sides by 8.
[tex]\frac{25.6}{8} = x\\[/tex]
Expand [tex]\frac{25.6}{8}[/tex] by multiplying both numerator and the denominator by 10.
[tex]\frac{256}{80} = x[/tex]
Reduce the fraction [tex]\frac{256}{80\\}[/tex] to lowest terms by extracting and canceling out 16.
[tex]\frac{16}{5} = x[/tex]
Swap sides so that all variable terms are on the left-hand side.
[tex]x = \frac{16}{5}[/tex]
If you answer is meant to be a fraction, then your correct answer is [tex]3\frac{1}{5}[/tex] and if you answer is meant to be a decimal then you correct answer is 3.2.
Hope I helped and have a good day. ~sunshine~ =D
Given the 2 statements: "If you study for your test, then you will pass
your test," and "If you passed your test, then you studied for your
test." the biconditional is:
The biconditional statement is "You study for your test if and only if you passed".
What is biconditional statement?
A biconditional statement combines a conditional statement with its opposite expressed in the form of "if and only if."
The given statements are,
"If you study for your test, then you will pass your test" and "you passed your test then you studied for your test".
The biconditional statement is: "You study for your test if and only if you passed".
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boxes of nails are stacked on top of each other on a work bench. The table below shows how the height above the floor of the topmost box depends on the number of boxes. What is a rule for the height? Give the rule in words and as an algebraic expression.
The height is the sum of 39 and 9 times the number of boxes, n. The rule is 9n + 39.
What is algebraic expression?An algebraic expression is defined as the type of expression that is made up of a variable, a coefficient and a constant.
From the given box of nails,
The height of 2 boxes of nails = (9× 2) + 39 = 57 In
The height of 3 boxes of nails = ( 9 × 3) + 39 = 66 In
The height of 4 boxes of nails = ( 9× 4) + 39 = 75 ln
That is to say that the height of the box above the floor can be calculated by the sum of 39 and 9 times the number of boxes, n.
Therefore, the rule of heights is 9n + 39 where n is the number of boxes present.
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The ratio of 1.4 to 26 is the same as the ratio of 2.8 to ____.
The bar graph shows the percentage of college freshmen in a certain country with an average grade of Ain high school.The data displayed by the bar graph can be described by the mathematical model p =4x- + 25 where xis the number of years after 1980 and p is the percentage of college freshmen who had an average
Okay, here we have this:
Considering the provided formula and information, we are going to calculate the requested percent of college freshmen in 2010, so we obtain the following:
So since x corresponds to the number of years after 1980, in this case we will replace x with 30, since it is 30 years after 1980, we have:
p=4x/5+25
Replacing:
p=4(30)/5+25
p=120/5+25
p=24+25
p=49
So, as we can see, the model assumes that in 2010 the percentage was 49%, and the real one is 47%. It means that the model overestimates the real value by 2%.
Select the correct answer from each drop-down menu.
Triangle XYZ, with vertices X(-2, 0), Y(-2, -1), and Z(-5, -2), undergoes a transformation to form triangle X′Y′Z′, with vertices X′(4, -2), Y′(4, -3), and Z′(1, -4). The type of transformation that triangle XYZ undergoes is a
.
Triangle X′Y′Z′ then undergoes a transformation to form triangle X′′Y′′Z′′, with vertices X″(4, 2), Y″(4, 3), and Z″(1, 4). The type of transformation that triangle X′Y′Z′ undergoes is a
.
Answer:
1. (x+6, y-2)
2. reflection across the x-axis
Step-by-step explanation:
When an integer is subtracted from 2 times the next consecutive odd integer, the
difference is 9. Find the value of the greater integer.
Answer:
7
Step-by-step explanation:
Let x be the "integer." We'll assume it is odd.
The next consecutive odd integer would be x+2.
(2(x+2) - x) =9 [When an integer is subtracted from 2 times the next consecutive odd integer the difference is 9]
(2(x+2) - x) =9
(2x+4) - x) =9
x+4 =9
x = 5
The greater integer is x+2 or 7
Check:
If 5 is subtracted from 2 times the next consecutive odd integer, 7, is the difference 9?
2*7 - 5 = 9?
14 - 5 = 9?
14 - 5 = 9? YES
1/2 x - 2 = x - 4
answersss??
Evelyn is 2.5 years younger than James. Two times the sum of their age is 57. Write and solve an equation to find Evelyn age.
The age of Evelyn is 10.5 years finding by the properties of linear equation.
What is linear equation?
A linear equation in algebra is one that only contains a constant and a first-order (linear) component, like y=mx+b, where m is the slope and b is the y-intercept.
Let the age of James is x years.
The age of Evelyn is x - 2.5 years
Sum of age of Evelyn and James are x + x - 2.5 = 2x - 2.5
According to question,
2 x (2x - 2.5) = 57
=> 4x - 5 = 57
=> 4x = 57 - 5
=> 4x = 52
=> x = 52/4
=> x = 13
Age of James is 13 years and the age of Evelyn is 13 - 2.5 = 10.5 years.
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2 Four friends go to the ice cream shop to purchase frozen
yogurt. Each friend gets a part strawberry and part
vanilla.
• Lucas gets 0.25 strawberry.
Adrianna gets % strawberry.
Ricardo gets 0.8 strawberry.
Jasmine gets % strawberry.
•
•
Arrange the friends in order from least to greatest amount of
strawberry in their yogurt.
Least
Greatest
Answer:
12
Step-by-step explanation:
Mr. Reed is drawing a blueprint of a rectangular patio. The width of the patio is 40 3/4 feet shorter than twice its length. The perimeter of the patio is 86 1/2 feet. What is the length of the patio?
Answer:
length = 28 feet
Step-by-step explanation:
let length = x
width = 2x - 40 3/4
= 2x - 163/4
= 2x - 40.75
perimeter of a rectangle = 2(l+w)
according to the question:
86 1/2 = 2(l+w)
86.5 = 2(x + 2x - 40.75)
86.5 = 2(3x - 40.75)
86.5 = 6x - 81.5
86.5 + 81.5 = 6x
thus, x = 28
What is the answer to this question
The angles are which alternate exterior angles include the following: A. ∠XWY and ∠STR.
What are parallel lines?Parallel lines can be defined as two (2) lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.
What is the alternate exterior angle theorem?The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.
In conclusion, we can logically deduce that both ∠XWY and ∠STR are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.
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Nicholas is saving money to buy a new video game. He started with $25 and after 3 weeks of doing chores he had $70.
Solve for x to the nearest tenth.
Answer:
x = 11.2 cms.
Step-by-step explanation:
I infer that the units are in centimeters.
8-3 = 5
One side = 5 cm
Other side = 10 cm
By the Pythagorean Theorem:
x² = 5² + 10²
x² = 25 + 100
x² = 125
√x² = √125
x = 11.18 cms
To the nearest tenth:
x = 11.2 cms
Tara's office recycled a total of 60 kilograms of paper over 3 weeks. How many weeks will it take Tara's office to recycle a total of 80 kilograms of paper? Solve using unit rates.
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A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for and hour the shop owner has used 91 combined ounces of meat and cheese. How many ounces of meat were used?
The number of ounces of meat were used is 52 ounces.
Given that, a sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich.
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.
There are 7 ounces of combined meat and cheese in each sandwich (4+3 =7)
Number of sandwiches can make with 91 ounce of meat and cheese
= 91/7
= 13 sandwiches
Number of ounces of meat = 13 × 4 = 52 ounces
Number of ounces of cheese = 13 × 3 = 39 ounces
Therefore, the number of ounces of meat were used is 52 ounces.
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