Answer:
Donna reads an average of 5 chapters each hour.
Step-by-step explanation:
45/9=5
Explain why (4) × (-5) = 20. Use patterns, an example from the Integer Game, or the properties of operations to support your reasoning.
Multiplying (-4) × (-5) we get 20. Here is the reason.
There are a few properties of integers which determine its operations. These principles or properties help us to solve many equations. To recall, integers are any positive or negative numbers, including zero. Properties of these integers will help to simplify and answer a series of operations on integers quickly.
All properties and identities for addition, subtraction, multiplication and division of numbers are also applicable to all the integers. Integers include the set of positive numbers, zero and negative numbers which are denoted with the letter Z.
Z= ( -5, -4,-3,-2,-1,0,1,2,3,4,5)
Integers have 5 main properties of operation which are:
Closure Property
Associative Property
Commutative Property
Distributive Property
Identity Property
While doing multiplication we use the following rules:
Minus multiply plus= minusMinus multiply minus= plusPlus multiply minus = minusPlus multiply plus = plusSo using second rule we can write (-4×-5)= 20.
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Rewrite the equation 4 = -6x + 3y + 3x in slope intercept form. (y = mx + b)
a.) y = 4/3 x +1
b.) y = x + 4/3
c.) y = -x + 4/3
d.) y = - 4/3 x + 1
Answer:
the answer will be
b.)
4 = -6x+3y+3x
4 = -3x+3y
3y = 3x+4
y. = x+4/3
The length of a bacterial cell is about 5 x 10−6 m, and the length of an amoeba cell is about 3.5 x 10−4 m. how many times smaller is the bacterial cell than the amoeba cell? write the final answer in scientific notation with the correct number of significant digits. 1.4 x 101 7 x 101 143 x 101 7 x 103
The bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.
What are scientific notations?
Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.
Calculation of the amount by which a bacterial cell is smaller than the amoeba cell
Given the length of amoeba cell in scientific notations is 3.5 × 10^(- 4)
The length of a bacterial cell in scientific notations is 5 × 10^(- 6)
To obtain how small the bacterial cell is from the amoeba cell, we need to divide both the lengths i.e.
= 3.5 × 10^(- 4) / 5 × 10^(- 6)
= 0.7 × 10^(2)
= 7 × 10^(1)
Hence, the bacterial cell is about 7 × 10^(1) times smaller than the amoeba cell in scientific notations.
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What is the first step to solving
the following equation?
3(3x 8) = 4x+6
Is it Combine Like Terms
Subtraction Property of Equality
Or
Distribution Property
Division Property of Equality
the sum of her test scores 88+80=168 also she took 2 tests. her average would be?
the answer should be written in the form of coordinates.
Asap pls
Answer: her average is 84
Step-by-step explanation:
88+80=168/2 =84
293 + 8 will mark brainiest
Answer:
301
Step-by-step explanation:
bro :(
Answer:
301
Step-by-step explanation:
The height, in meters, of a machine piston can be modeled by the regression equation y = 4.4sin(0.4x -1.7) +2.3,
where x represents time, in seconds.
To the nearest tenth of a meter, what is the height of the piston after 10 seconds?
O 1.6 m
O 25m
O 3.3 m
O
5.6 m
The height of the machine piston after 10 seconds is 2. 5m . Option B
How to determine the value
Given the function;
y = 4.4 sin (0.4x -1.7) +2.3,
Where;
x represents time in secondsy is the height of the machine pistonGiven x as 10 seconds
y = 4. 4 sin ( 0.4(10) - 1. 7) + 2. 3
y = 4. 4 sin ( 4 - 1. 7) + 2. 3
y = 4. 4 sin (2. 3) + 2. 3
y = 4. 4(0. 04013) + 2. 3
y = 2. 47
y = 2. 5 meters in the nearest tenth
Thus, the height of the machine piston after 10 seconds is 2. 5m . Option B
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Answer:
D. 5.6 m
Step-by-step explanation:
Use your context clues.
All the other answers had O, like an X, so I put D, which was correct. *Wink*
Which is the solution set of the inequality 15y - 9 < 36?
A. y > 9/5
B. y < 9/5
C. y > 3
D. y < 3
Answer:
D
Step-by-step explanation:
y < 3
PLEASE HELP ASAP! Solve the system of equations by graphing on your own paper. Write the solution as an ordered pair (x, y)
y=2x+1
y=4x-5
Answer:
Step-by-step explanation:
its 6 2 + 5 = 9-2 = 6
can i please have help
Answer:
Side 3 = 5cm
Step-by-step explanation:
135/9=15
15/3=5
elijah says that 9.56556555 is a rational number.Donna disagrees and says the number is irrational. Decide who is correct and what might likely cause one of them to make the error.
Answer:
It is a rational number because it is a repeating number.
Step-by-step explanation:
One might think it isn't rational because it isn't just one number repeating. But because it has a consistent number, it is rational.
A certain school's enrollment increased 6% this year over last year's enrollment. If the school now has 1378 students enrolled, how many students were enrolled last year?
A. 1295
B. 1300
C. 1350
D. 1460
E. 1500
If the school now has 1,378 students enrolled, last year, the number of students enrolled was B. 1,300.
How is the number of students determined?Using the mathematical operations of addition, subtraction, division, and multiplication, we can determine the number of students.
Mathematical operations help us to determine unknown values, given a known domain.
Data and Calculations:Increase in school enrollment over last year's = 6%
Enrollment for the current year = 1,378
Let last year's enrollment = 100%
And the current year's = 1.06 (100 + 6)
Therefore, the enrollment last year = 1,300 (1,378/1.06)
Thus, the enrollment (number) last school year was B. 1,300.
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I need help I’m confused please, anyone?
Answer:
-2.
Step-by-step explanation:
x = 0 where the line passes through the y axis.
So, from the diagram we see that at x = 0, f(x) = -2.
Solve for x. Please show work.
2x + 6 = -3x - 14
A) 16 Miss Violet was in the cafeteria.
B) -16 Mrs. Teal was in the library.
C) 3.2 Mr. Brown was in the auditorium.
D) -4 Ms. Ivory was in the student center.
E) 4 Prof. Gray was in the library.
Answer:
D
Step-by-step explanation:
2x+6=-3x-14
2x+3x=-14-6
5x=-20
x=-4
Answer:
X = -4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
admission to a certain university is determined by an entrance exam. the scores of this test are normally distributed with a mean of 400 and a standard deviation of 60. only students who score in the top 30% will be offered admission. april scores 425 on the test. choose the most accurate statement.
Only students who score in the top 30% will be offered admission - this statement is accurate.
What is the mean and standard deviation of the entrance exam?In insights, the standard deviation is a proportion of how much variety or scattering of a bunch of values. A low standard deviation shows that the qualities will generally be near the mean of the set, while an elevated expectation deviation demonstrates that the qualities are fanned out over a more extensive territory. The standard deviation can generally be determined considerably more effectively with a number cruncher, and this might be satisfactory in certain tests. On my adding machine, you go into the standard deviation mode. Consequently, the main distinction among change and standard deviation is the units. For instance, in the event that we took the hours of 50 individuals running a 100-meter race, we would catch their time like a flash. Standard deviation assumes a vital part in the realm of money. In finance standard deviation is a factual estimation, when it's applied to the yearly pace of return of a venture.
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I can figure out the steps -X=35
Answer:
-35
Step-by-step explanation:
−X=35
Multiply both sides by −1.
X=−35
I hoped this helped! Contact me for more information if you need anything else!
simplify three square root of five end root minus two square root of seven end root plus square root of forty five end root minus square root of twenty eight. (1 point)
The expression is simplified to 6√5 - 4√7
How to simplify the expressionFrom the information given, we have that;
[tex]3\sqrt{5} - 2\sqrt{7} + \sqrt{45} - \sqrt{28}[/tex]
Let's find the surd forms with perfect squares and add into the formula
3√5 - 2√7 + √9 ×5 - √7× 4
Find the perfect squares of the expression
3√5 - 2√7 + 3√5 - 2√7
collect like terms
3√5 + 3√5 - 2√7 - 2√7
Add like terms
6√5 - 4√7
Thus, the expression is simplified to 6√5 - 4√7
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write a two-column proof to verity each conjecture. If -3r+1/2= 4 the r=-7/6
If -3r + 1/2 = 4, then it is true that r=-7/6
How to write a two-column proof to verity each conjecture?The equation is given as:
-3r + 1/2 = 4
And the solution is given as
r=-7/6
The two-column proof is as follows:
-3r + 1/2 = 4 ---- Given-3r = 4 - 1/2 ----- Subtract property of equation-3r = 3 1/2 ----- Subtract property of equation-3r = 7/2 ----- Convert to improper fractionr = -7/6 ----- Division property of equationHence, if -3r + 1/2 = 4, then it is true that r=-7/6
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I need help please….
Answer:
Graph A shapes are not congruent.
Graph B Shapes are congruent.
Step-by-step explanation:
For Graph A, Shape EFGH is 1 unit longer than shape ABCD.
For Graph B, the are the same, but rotated 90 degrees.
2(2x + 3) + 5x + 1 = -11
Answer:
-2
Step-by-step explanation:
2(2x + 3) + 5x + 1 = -11
x = -2
2(2× +3) + 5× +1 = -11
Multiply the 2 to what is in the bracket
4×+ 6 + 5× +1 = -11
Group liketerms
4× + 5× = -11 - 1 -6
simply it
9× = - 18
we will divide them by the co-efficient of ×
9× = - 18
________
9 9
x = - 2
Which equation matches
Answer:
The first one
Step-by-step explanation:
3
Point 0 is on live segment NP.
If OP= 3 and NO=15, what is
length of NP.
According to the length, the length of the NP become 18.
According to the statement
We have to find that the length of the NP.
So, For this purpose, we know that the
The length of this line segment is the distance between its endpoints A and B.
From the given information:
Point O is on live segment NP.
If OP= 3 and NO=15,
Then
Let draw a diagram and after seeing it in image we know that the:
NO=15 and OP= 3
And
Np is the sum of the op and no.
Then
NP = OP + NO
NP = 3+ 15
NP = 18.
Then the length of the NP become 18.
So, According to the length, the length of the NP become 18.
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ILL GIVE BRAINLIEST !!!!!!
Answer:
See explanation
Step-by-step explanation:
a. [tex]\sqrt{49}[/tex]=7
b. 0, [tex]\sqrt{49}[/tex] ==> 0 is a whole number, not a natural number
c. -9, 0, [tex]\sqrt{49}[/tex]
d. -9, -3/7, 0, 0.25, 6.7, [tex]\sqrt{49}[/tex]
e. [tex]\sqrt{2}[/tex] since it has an infinite number of digits and can't be given as a ratio of two integers.
f. -9, -3/7, 0, 0.25, [tex]\sqrt{2}[/tex], 6.7, [tex]\sqrt{49}[/tex] ==> Real numbers consist of both rational and irrational numbers
Evaluate the function h(x) =13-x when x=-3,0, and 8
Answer:
16, 13, 5
Step-by-step explanation:
h(-3)=13-(-3)
h(-3)=13+3
h(-3)=16
h(0)=13-(0)
h(0)=13
h(8)=13-(8)
h(8)=5
Hope this helps.
the square quilt block shown is used in a larger quilt. the four small squares in the block are congruent, and the four small vertical rectangles in the block that are not squares are also congruent. the total area of the shaded regions is what fraction of the total area of the block? express your answer as a common fraction.
The total area of the shaded regions in fraction of the total area of the block is 3/8 as the common fraction.
What is common fraction?A common fraction, sometimes known as a common fraction, is a fraction with an integer numerator and denominator. A common fraction may be used to identify a portion of a larger whole or set.
What is the formula for calculating a common fraction?Multiply each component of a fraction by both the denominator of another fraction to find the common denominator. To calculate the common denominator of 1/3 + 2/5, multiply the 1 through 3 by 5 and the 2 and 5 by 3. You should obtain a total of 5/15 + 6/15. The fractions can then be calculated.
According to the given data:Let's divide each square across four equal sections, for a total of 16 sections..
Using symmetry, one of the four portions in the top left square is shaded, and the same is true for the bottom right square.
Furthermore, two of the four squares inside this top right and bottom left corners are darkened.
Consequently,
the shaded area is:
{1 + 1 + 2 + 2}/ 16
6 /16 = 3 / 8
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30. Which of the following choices shows the slope-intercept form of the equation below?
31. Which of the following choices shows the standard form of the equation below?
The equation of the lines in slope intercept form and standard form is y = -2x + 10 and 2y+3x = 10
Equation of a line in slope intercept formThe equation of a line in point slope form is y = mx + b.
Given the equation below:
y-7 =-5/2(x+4)
2(y-7) = -5(x+4)
2y-14 = -4x - 20
2y = -4x-20+40
2y = -4x + 20
y = -2x + 10
For the equation;
y = -3/2 x + 5
Multiply through by 2
2y = -3x + 2(5)
2y = -3x + 10
2y+3x = 10
Hence the equation of the lines in slope intercept form and standard form is y = -2x + 10 and 2y+3x = 10
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She pays a total of $59.53. She pays a total of $6.49 for the ice cream. She buys 8 bags of oranges that each cost the same amount.
Answer:
price of oranges is 6.63
Step-by-step explanation:
1)59.53-6.49=53.04
2) 53.04/8=6.63
The area of the top face of a cube is 9 square centimeters. use 9 of these cubes to make a rectangular prism. What is the volume of the rectagular prism
The volume of the rectangular prism is 243 cm³
given that
The top face of the cube has an area of 9 cm²
since All the faces of the cube are squares
therefore The top face is a square
∵ Area of any square = L² , where L is the length of the side of
the square
∵ Area of the top face is 9 cm²
∴ L² = 9 ⇒ take √ for both sides
∴ L = 3 cm
∵ The volume of any cube = L³
∵ L = 3 cm
∴ The volume of the cube = (3)³ = 27 cm³
- We will use 9 cubes to make a rectangle prism
∴ The volume of the rectangle prism is equal to the volume of
the 9 cubes
∴ The volume of the prism = 9 × volume of a cube
∵ The volume of the cube is 27 cm³
∴ The volume of the prism = 9 × 27 = 243 cm³
* The volume of the rectangular prism is 243 cm³
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A football team must move the ball forward at least 10 yards from its starting point to make a first down if the team has 2 losses of 2 yards each and a gain of 12 yards does the tean make a first touchdown justify your answer
No ,the team will not make the first down.
The definition of a yard is an outdoor area of a house or other building. An example of a yard is the lawn in front of your house; a front yard. An example of a yard is the area around a train repair center where trains are stored; a rail yard.
the first of a series of usually four downs in which a football team must net a 10-yard gain to retain possession of the ball.
If the team with the ball can pick up one yard or more on the third-down play, then they will be given a first down, which means they get to start all over with a new set of four downs. A team can continue moving the football down the field as long as they continue to pick up first downs.
we have been given that -
the ball forward at least 10 yards from its starting point to make a first down if the team has 2 losses of 2 yards each and a gain of 12 yards
Here are the integers that are represented by the scenario.
-2 + -2 = -4
-4 + 12 =8 yard gain.
There are 2 yards less of the first down.
Hence, the team will not make the first down.
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What is the difference of 18 ‒ (‒8)?
Answer: 26
Step-by-step explanation:
Answer:
26 is the answer because we have to subtract when the signs of the number are diffrent and add when it is same . so +18 - (-8) = 26