Answers
(-4)^2 >= 16
16 >=16
(4)^2 >= 16
16 >= 16
The answer is D
Related Questions
In the equation y = mx + b, b represents:
A. slope
B. rise
C. y - intercept
D. x - intercept
Answers
simplest form for 21/49
Answers
=3/7(divide by 7 numerator and denominator)
PLs brainliest answer
In a triangle ABC, with angles A, B, and C and sides AB, BC, and AC, angle B is a right (90°) angle. If the sin of angle A is 0.5 and side BC is 8 inches long, what is the length of side AC?
Answers
A survey by the state health department found that the average person ate 208 pounds of vegetables last year and 125 5/8 pounds of fruit.What fraction of the total pounds of fruit and vegetables do the pounds of fruits represent?
Answers
Answer: The fraction of pounds of fruits over total pounds of fruits and vegetables is given by
[tex]\frac{25125}{66724}[/tex]
Step-by-step explanation:
Since we have given that
Total amount of vegetables = 208 pounds
Total amount of fruits is given by
[tex]125\frac{5}{8}\text{ pounds}[/tex]
Total amount of fruits and vegetables is given by
[tex]208+125\frac{5}{8}\\\\=208+\frac{1005}{8}\\\\=\frac{1664+1005}{8}\\\\=\frac{2669}{8}\\\\=333.625\text{ pounds }[/tex]
So, we need to find the fraction of pounds of fruits over the total pounds of fruit and vegetables :
[tex]\frac{\text{Pounds of fruits }}{\text{ total pounds of fruits and vegetables}}\\\\=\frac{\frac{1005}{8}}{333.62}\\\\=\frac{1005}{8\times 333.62}\\\\=\frac{1005}{2668.96}=\frac{25125}{66724}[/tex]
The fraction of the total pounds of fruit and vegetables that fruits represent is approximately 0.377, or 37.7%.
Explanation:To find out what fraction the pounds of fruits represent out of the total pounds of fruits and vegetables, we first need to calculate the total pounds of fruits and vegetables consumed. This is found by adding the pounds of vegetables (208) to the pounds of fruits (125 5/8). So, 208 + 125 5/8 = 333 5/8 pounds.
Now, to determine the fraction, we take the pounds of fruits and divide by the total. Hence, the fraction is given by 125 5/8 ÷ 333 5/8. To divide fractions, we multiply by the reciprocal of the divisor, which gives us (125 5/8) * (8/333) = 0.377 (rounded to three decimal places).
Therefore, fruits represent approximately 0.377, or 37.7% of the total pounds of fruits and vegetables consumed.
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Two numbers are 10 units away in different directions from their midpoint, m, on a number line. The product of the numbers is –99.
Which equation can be used to find m, the midpoint of the two numbers?
(m – 5)(m + 5) = 99
(m – 10)(m + 10) = 99
m2 – 25 = –99
m2 – 100 = –99
Answers
proof
m2 – 100 =(m – 10)(m + 10)
for eg. m=1, (-9)(11)= –99
The equation can be used to find m, is [tex]m^{2} -100 = -99[/tex].
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the given question.
We have two numbers.
Both are 10 m away from their midpoint, m.
Therefore,
If the first number is ( m + 10).
Then the second number will (m-10).
Also it is given that the product of these two numbers is 99.
⇒ [tex]( m + 10)( m - 10) = -99[/tex]
⇒ [tex]m^{2} -10m + 10m -100 = -99[/tex]
⇒ [tex]m^{2} - 100 = -99[/tex]
Hence, the equation can be used to find m, is [tex]m^{2} -100 = -99[/tex].
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Solve x2 + 10x = −21.
Select one:
a. x = 7 and x = 3
b. x = −7 and x = −3
c. x = −7 and x = 3
d. x = 7 and x = −3
Answers
Find the values of x and y drawing not to scale
Answers
Part 1)
In this problem we know that
[tex]4y\°+112\°=180\°[/tex] ------> by supplementary angles
solve for y
[tex]4y\°=180\°-112\°[/tex]
[tex]y=68\°/4[/tex]
[tex]y=17\°[/tex]
Part 2)
In this problem we know that
[tex]7x+7=112\°[/tex] ------> by vertical angles
solve for x
[tex]7x=112\°-7\°[/tex]
[tex]x=105\°/7[/tex]
[tex]x=15\°[/tex]
therefore
the answer is the option A
[tex]x=15\°, y=17\°[/tex]
The area of a triangle is 25 sq cm and the base of the triangle is 5 cm. Which equation could be used to find the height of the triangle?
A.
B.
C.
D.
Answers
Area=base×height/2
25=5×height/2
5×2=height
height=10
In which case do you need to reverse the inequality sign when solving an inequality?
when adding or subtracting a negative number
when multiplying or dividing by a negative number
when there is a line under the equality symbol
where there is no line under the equality symbol
Answers
if you DON'T flip the sign, you usually end up with a "backwards" inequality, such as 4 < x, but the rules tell you to write "4 is less than x" as "x is greater than 4" (x > 4) so you end up rearranging the sign anyways--it's just easier to do it as you go.
How many days equals 7344 minutes??
Answers
Answer:
as a decimal: 5.1
Goran rented a truck for one day. there was a base fee of $15.99, and there was an additional charge of 96 cents for each mile driven. goran had to pay $288.63 when he returned the truck. for how many miles did he drive the truck?
Answers
272.64÷0.96= 284 miles
In 1991, the federal minimum wage rate was $4.25 per hour. In 1997, it was increased to $5.15. Find the annual rate of change in the federal minimum wage rate from 1991 to 1997
Answers
1997 = $5.15
1hour = 60min
First you will have to multiply:
4.25 * 60 = 225
5.15 * 60 = 309
Then you subtract the answers you got together
309 - 225 = 84
So the the rate of change increases by 84!!
Hope This Helps!!
:)
The annual rate of change in the federal minimum wage rate from 1991 to 1997 is $0.15 per year.
Explanation:The annual rate of change in the federal minimum wage rate from 1991 to 1997 can be found by calculating the difference between the final and initial values, and then dividing it by the number of years.
Initial value in 1991: $4.25
Final value in 1997: $5.15
Difference: $5.15 - $4.25 = $0.90
Number of years: 1997 - 1991 = 6 years
Annual rate of change: $0.90 / 6 = $0.15
Therefore, the annual rate of change in the federal minimum wage rate from 1991 to 1997 is $0.15 per year.
John has read the first 114 pages of a novel. He has read 3 pages less than one-third of the novel.
Write an equation to describe the total number of pages p in the novel, and find the value of p.
Answers
novels total page x
1/3x-3=114
1/3x=117
x=3.117
x=351
he says he read 1/3 of his novel. Let x represent number of pages of the novel.
1/3x is one third of that novel.
3 pages less than one third is:
1/3x - 3
and that represents 114 pages that he read.
now we make that equal to 114 and solve for x
1/3x - 3 = 114
1/3x = 114 + 3 = 117
x = 351
Answer is 351 pages
Write the time 12 hours after 8 p.m. use an or pm
Answers
2)10pm
3)11pm
4)12am
5)1 am
6) 2 am
7) 3 am
8) 4 am
9)5 am
10) 6 am
11) 7 am
12) 8 am
1/3 and 7/9 rewrite using the least common denominator
Answers
9 is the LCD. So you have to multiply 3 by 3 to get 9, so multiply the numerator (1) by 3. 3/9 is the answer to that.
To rewrite 1/3 and 7/9 using the least common denominator, you need to find the smallest number that both 3 and 9 can divide evenly into. The least common denominator (LCD) of 3 and 9 is 9. Rewrite the fractions as 3/9 and 7/9, respectively.
Explanation:To rewrite the fractions 1/3 and 7/9 using the least common denominator, we need to find the smallest number that both 3 and 9 can divide evenly into. The least common denominator (LCD) of 3 and 9 is 9. We can now rewrite the fractions:
1/3 becomes 3/9 (multiply the numerator and denominator by 3)7/9 remains the sameSo, 1/3 and 7/9 can be rewritten as 3/9 and 7/9, respectively, using the least common denominator.
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what is the equivalent ratio to 12:20
Answers
3:5
at her job, mary works 4 hours on monday, 3 hours on wednesday, and 6 hours on saturday. her boss adds a $10 bonus to her paycheck, which then totals $120.50. what is mary's hourly pay?
a. $8.50
b. $9.27
c. $5.24
d. $8.05
Answers
13x=110.50
x=8.5
so she makes $8.50 an hour which is A.
break apart and distribute to solve 72÷8
72÷8=(40÷8)+(32÷8)
9=5+4
9=9
Answers
Answer:
72 ÷ 8 is equal to 9
Step-by-step explanation:
If we want to solve 72 ÷ 8 by breaking apart and distributing, the first step is to write the number ''72'' as the sum or subtraction of two numbers that are divisible by ''8''.
We can write :
[tex]72 = 40+32[/tex]
If we replace this last expression in the original one :
72 ÷ 8 = (40 + 32) ÷ 8 (II)
Now in (II) we can use the distributive property of the division :
(40 + 32) ÷ 8 = (40 ÷ 8) + (32 ÷ 8) (III)
Finally, we need to solve the expression (III) :
(40 ÷ 8) + (32 ÷ 8) = 5 + 4 = 9
We find that 72 ÷ 8 is 9 by breaking apart and then distributing.
Traveling at 45 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 240 miles from Orlando to Miami?
a. 5
b. 195
c. 285
d. 320
Answers
D. 320 would be the correct answer.
Is the following relation a function?
X Y
6 -1
-1 2
4 3
0 3
Yes or no
Answers
Which of the points shown below are on the line given by the equation y = 5x? Check all that apply.
A. Point A: (5, -1)
B. Point B: (1, 5)
C. Point C: (0, 0)
D. Point D: (-3, 2)
Answers
The correct Options are B and C.
What is Function of graph ?The collection of all points in the plane with the form (x, f(x)) that make up a function f's graph. We may alternatively say that the graph of f is the graph of y = f. (x). As a result, the graph of an equation is a particular instance of the graph of a function. Allow f(x) to equal x2 - 3.The graph is a function if a vertical line drawn across it is moved and only ever touches it at one point.To solve y = 5x we check all options in equation by value putting.
let y = 5x .......................(1)
Put point A ( 5, -1) in equation (1)
So, x = 5 & y = -1
y = 5x ⇒ -1 = 5 ×5= 25
Put point B (1,5) in equation (1)
So, x = 1 & y = 5
y = 5x ⇒ 5 = 5 × 1 = 5
Put point C (0,0) in equation (1)
x = 0 & y = 0
y = 5x ⇒ 0 = 5 × 0 =0
Put point D ( -3 ,2) in equation (1)
x = -3 & y = 2
y = 5x ⇒ 2 = -3× 2 = -6
In all these points , B & C points are have same value on both side.
So, we can say that b&c are the points which are shown on the line.
Therefore, The correct Options are B and C.
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12x=4(x-5) then x equals?
Answers
distributive property to get rid of parenthesis 12x=4x-20
subtract x from one side to get the variable on one side 8x=-20
divide 8 by -20
x=-2.5
Suppose f is continuous on [1,5] and the only solutions of the equation f(X)= 6 are x=1 and x=4. If f(2)=8, explain why f(3)>6. ...?
Answers
Given the conditions of the continuous function f and the equation f(X) = 6 where X = 1 and X = 4, f(3) must be greater than 6 because of the utilization of the Intermediate Value Theorem.
Explanation:The question is about the function f which is continuous on the interval [1,5]. The given conditions are that the solutions of the equation f(X) = 6 are x = 1 and x = 4 and that f(2) = 8 which is greater than 6. By the Intermediate Value Theorem (IVT), since f is continuous on [1,5] and f(2) = 8 > 6 and we have that f(x) = 6 for x = 1 and x = 4, then by the IVT we should have a point f(c) = 6 for some c in the interval (2,4). Hence, it means that f(3) could be equal to 6 or be more than 6, but since we know the only solutions are x = 1 and x = 4, f(3) cannot be equal to 6 and thus f(3) must be greater than 6.
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During the National Football League’s 1999 season, Troy Aikman, the quarterback for the Dallas Cowboys, earned $0.467 million more than Deion Sanders, the Cowboys cornerback. Together they cost the Cowboys $12.867 million. How much did each player make?
Answers
Troy Aikman make 6667000 and Deion Sanders makes 6200000 for the Cowboys cornerback.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given,
Troy Aikman, the quarterback for the Dallas Cowboys, earned $0.467 million more than Deion Sanders
Let Deion Sanders earning is x.
Troy Aikman earning is x+467000
Together they cost the Cowboys $12.867 million
x+x+467000=12867000
2x+467000=12867000
Subtract 467000 on both sides
2x=12867000-467000
2x=12400000
Divide both sides by 2
x=6200000
So Troy Aikman make 6200000+467000=6667000 and
Deion Sanders makes 6200000
Hence Troy Aikman make 6667000 and Deion Sanders makes 6200000 for the Cowboys cornerback.
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The product of eight minus a number and seven equals forty when decreased by five. Which equation represents the sentence?
Answers
So, you are multiplying (8-n), where n = "a number," by 7.
Then, when you decrease (subtract) this product by 5, you get 40.
So the whole thing looks like
7(8-n) - 5 = 40.
a scale model of a statue is 7 inches tall. The scale of the model is 1in./1.5ft. what is the actual height of the statue?
Answers
So the scale of the model is 1:18
now just multiply 7 by 18 to get-
126 inches, or 10.5 feet
Question. I have some math problems that I really need help with and this is all new to me. The direction are as follows:
Combine like terms 7x4 -5x4 the number four is square root. I don't understand at all what to do. Please help.
Answers
Answer:
-7 + x + 4 + 4x = x - 3 + 6 + 3x
Step-by-step explanation:
Calculate the area of a circle with a radius of 5
Answers
A= pi (3.14) x 5^2
A = 78.54
:)
Charlie needs to simplify the
Answers
For example :
(A+B)/C = A/C + B/C.
Then it would be
X^18 y^12/x^3 y^4 + x^9 y^8/x^3 y^4
X^15 y^8 + x^6 y^4.
The solution is D.
Answer:
d
Step-by-step explanation:
Mark is solving the following system.
x+y+z=2 (1)
3x+2y+z=8 (2)
4x-y-7z=16 (3)
Step 1: He multiplies equation (1) by 7 and adds it to equation (3).
Step 2: He multiplies equation (3) by 2 and adds it to equation (2).
Which statement explains Mark’s mistake?
- He added equation (3) instead of equation (2) in step 1.
- He did not multiply equation (3) by the correct value.
- He did not eliminate the same variables in steps 1 and 2.
- He added equation (3) and equation (2) instead of subtracting.
Answers
Solving the system of linear equations Mark tries to apply elementary transformations in order to eliminate one variable.
He makes such steps:
1. He multiplies equation (1) x+y+z=2 by 7 and adds it to equation (3) 4x-y-7z=16. This gives him:
7x+7y+7x+4x-y-7z=14+16,
11x+6y=30.
2. He multiplies equation (3) 4x-y-7z=16 by 2 and adds it to equation (2) 3x+2y+z=8. This step gives him:
8x-2y-14z+3x+2y+z=32+8,
11x-13z=40.
Thus, he did not eliminate the same variables in steps 1 and 2.
Answer: correct choice is C