Answer:
$95, $115, $135, $155
Step-by-step explanation:
If the first person gets x dollars:
the next person gets 20 more, so x + 20 dollars
the next person gets x + 40 dollars
and the last person gets x + 60 dollars
We add all these allocations together, and we get $500
x + (x + 20) + (x + 40) + (x + 60) = 500
Combine like terms
4x + 120 = 500
Subtract 120 on both sides
4x = 380
Divide by 4 on both sides
x = 95
So the first person gets $95.
The second person must get $115
The third must get $135
And the fourth must get $155
Checking our work:
95 + 115 + 135 + 155 = 500
does anyone have the answers for all?
Answer and Step-by-step explanation:
1-6
a.
What you can do is plug in 6 and start by doing the first machine first, then the second. If this doesn't work, do the second machine, then the first machine.
The order that works is second machine, then first machine.
Second Machine:
y = [tex](6)^{2} -6[/tex] = 36 - 6 = 30
Plug into first machine now.
First Machine:
y = [tex]\sqrt{(30) - 5} = \sqrt{25} = 5[/tex]
We see that the result is 5.
b. If we were to do the order of second machine, then first machine, we will never get a negative result (or -5 for that matter), due to the fact that you can't algebraically square root a negative number.
However, if we were to do the order of first machine, second machine, we can get a negative number. To get -5, we plug in 6 for x in the first machine, getting an answer of 1. We plug this into the second machine, getting 1^2 - 6, which results in -5.
1-7. The absolute value of a value is the positive version of that value.
a. |54| = 54
b. [tex]-|-7\frac{3}{5}|[/tex] = [tex]-7\frac{3}{5}[/tex]
c. |3| - |-1| = 3 - 1 = 2
d. |2.2 - 5.13| = |-2.93| = 2.93
1-8.
a.
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(5 boxes on each side)
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(6 boxes on each side)
b. The amount of squares on each side of the figure increases by 1.
c. There would be 1 square, because we know that the pattern is there is 2 squares added to the next figure, 1 at each end. If we go back a figure, we take away 2 squares.
1-9.
a. -42 - 17 = -59
b. 8 - (-9) = 8 + 9 = 17
c. 8(-9) = -72
d. -42 ÷ (-7) = 6
e. -2(-3)(-4) = 6(-4) = 24
f. -18 - 7 = -25
g. [tex](-5)^{2}[/tex] = 25
h. [tex]-5^{2} = -(5)^2 = -(25)[/tex] = -25
i. [tex]\sqrt{49}[/tex] = 7
1-10. x = 2 Plug 2 in for x, then solve.
a. y = 7 - 3(2) = 7 - 6 = 1
b. y = [tex](2)^2 -1[/tex] = 4 - 1 = 3
c. y = [tex]\frac{18}{2}[/tex] = 9
#teamtrees #PAW (Plant And Water)
I hope this helps!
a mans age today is four years less than five times the age of his oldest son. let a represent the son's age. write an expression to represent the man's age.
Answer:
m = 5s - 4
Step-by-step explanation:
Man = m
Son = s
the mans age is 4 years less than 5 times his sons age
5 times his sons age is 5s
4 less than that is 5s - 4
The man's age is 5s - 4 or m = 5s - 4
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
The LCM of two numbers is 352
The HCF of the numbers is 4.
One of the numbers is 44.
Find the other number.
Answer:
Let the other number be
′
x
′
Given:LCM+HCF=600
⇒14HCF+HCF=600
⇒15HCF=600
⇒HCF=40
⇒LCM=14×40=560
Since HCFxLCM=Product of 2 numbers
=>40×560 = 280×x
⇒x=
280
40×560
⇒x=40×2
⇒x=80
hence the other number is 80.
Which of the following fractions has the greatest value?
3/4
5/8
5/6
5/9
3/7
We can see that 420/504 is the largest value among the fractions. the fraction 5/6 has the greatest value.
To determine which fraction has the greatest value, we can compare the fractions by finding a common denominator and comparing the numerators.
Let's find a common denominator for all the fractions, which is the least common multiple (LCM) of the denominators.
The denominators are 4, 8, 6, 9, and 7.
The LCM of 4, 8, 6, 9, and 7 is 504.
Now, let's convert each fraction to have a denominator of 504:
3/4 = (3/4) * (126/126) = 378/504
5/8 = (5/8) * (63/63) = 315/504
5/6 = (5/6) * (84/84) = 420/504
5/9 = (5/9) * (56/56) = 280/504
3/7 = (3/7) * (72/72) = 216/504
Comparing the numerators, we can see that 420/504 is the largest value among the fractions.
Therefore, the fraction 5/6 has the greatest value.
for more such question on fractions visit
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PLS HELP WILL MAKE FIRST RIGHT ANSWER GETS BRAINLIEST
Answer:
Subtract four to get the next term.
Step-by-step explanation:
66 - 4 = 62
62 - 4 = 58
58 - 4 = 54
54 - 4 = 50
50 - 4 = 46
46 - 4 = 42
42 - 4 = 38
Answer:
B
Step-by-step explanation:
Subtract 4
I need help with maths lol
Answer:
Step-by-step explanation:
To get equivalent expressions, if you are adding or subtracting, the number and letter you get on the left must be the same as the one on the right.
In B. The answer is incorrect because 4t is minus on the left. The letters are different, so 4t must remain minus. Not B
In C the numbers will combine when you add. If they are the same,, they remain the same. They do not become powers the answer for C is 10s. So C is not correct.
In D you are indicating that 6 is multiplied by 4s. You can only multiply 6 and 4. They don't add. Not D
A is correct.
solve the following compound inequality. graph the solution. -4 < 3x + 2 <= 2
Answer:
-2 < x <= 0
Step-by-step explanation:
Isolate the variable.
-4 < 3x + 2 <= 2
Subtract 2 from each side.
-6 < 3x <= 0
Divide both sides by 3
-2 < x <= 0
Find the Value of X
(please don't just give me a fake answer)
The Coal Utility Company is burning coal to produce electricity. The following cost function illustrates the cost in dollars (C) of removing t% of the hazardous toxins generated from burning coal. What happens to the cost as t approaches 100?
C= 55,000t/100-t for 0 ≤ t < 100
A The cost continues to increase.
B The cost continues to decrease.
C The cost approaches $0.
D The cost approaches $55,000.
Answer:
the cost continues to increase
Step-by-step explanation:
the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
To determine what happens to the cost (C) as t approaches 100%, we can take the limit of the cost function as t approaches 100.
The cost function is given as: [tex]\[ C = \frac{55,000t}{100 - t} \][/tex]
Now, let's find the limit of C as t approaches 100:[tex]\[ \lim_{{t \to 100}} C = \lim_{{t \to 100}} \frac{55,000t}{100 - t} \][/tex]
To find this limit, we can use direct substitution:[tex]\[ \lim_{{t \to 100}} \frac{55,000 \times 100}{100 - 100} = \lim_{{t \to 100}} \frac{5,500,000}{0} \][/tex]
Since the denominator approaches 0 as t approaches 100, the limit is undefined (infinite).
Therefore, the cost (C) approaches infinity (or becomes very large) as t approaches 100%. Thus, the correct answer is: A. The cost continues to increase.
To know more about infinity:
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R is between Q and S. If QR = 33.4 and SQ = 80, find RS
Answer:
56.6
Step-by-step explanation:
if SQ are 80 just subtract 33.4 from 80 to get 56.6 is RS
Which linear inequality is represented by the graph?
Oys-x-1
O yzx-1
O y<3x-1
Oy> 3x - 1
Answer:
The fourth answer choice is correct.
y>3x-1
The linear inequality that is represented here is y> 3x - 1. The last option is correct.
What is a linear inequality?These are inequalities that shows linear functions. It is showing the data that is not equal in the graph that is presented.
We can see that the line cuts through 3 at the X axis and -1 at the y axis.
Read more on linear inequalities here:
https://brainly.com/question/17152894?referrer=searchResults
1.Give another name for line s
2. Name then intersection of lines r and s
3.Name three non- collinear points
4. Give another name for plane n
Step-by-step explanation:
1 ) Another name for lines can be x y z etc ...
2 ) line r and s intersect at point B
3 ) point A B D
point D B C
4 ) Another name for plane N can be P Q T etc...
MARK AS BRAINLIST IF IT IS USEFUL
How do you translate "A number, x, multipled by one thousand. " as a variable expression
PLEASE HELP!! i can’t figure this out!
Given the point A(-3,-3) and B(5,1), find the coordinates of the point P on the directed line segment AB that partitions AB in the ratio of 3:1.
Answer:
1,-1
Step-by-step explanation:
midpoint is (-3)+5÷2 ; (-3)+1÷2
=1;-1
Plz help me answer this question
Answer:
I think it's the top left one
Step-by-step explanation:
The length is 6, the width is 3, and the height is 4, which matches the expression.
Step-by-step explanation:
[tex](6 \times 3 + 3 \times 4 + 4 \times 6) \\ = (18 + 12 + 24) \\ = 54[/tex]
f(x) = x² + 3x – 4 if x = 5a
Answer:
Step-by-step explanation:
f(5a) = ([tex]5a)^{2}[/tex] + 3× 5a - 4
Which is the graph of f(x) = 1/4 (4)^x ?
Answer:
The only graph that is fully shown.
Step-by-step explanation:
I did the math and the points check out.
-X -y -32 = -9
Z= -3x - 1
z = 5y -Z + 23
Answer:
[tex]x = - \frac{85}{46} [/tex]
[tex]y = - \frac{64}{23} [/tex]
[tex]z = \frac{209}{46} [/tex]
graph the function. f(x)=−∣∣x+2∣∣+1
Answer:
f(x)=-|x+2|+1
I've attached the graph for it
A man mixes 90 litres of milk, containing 10% of water with 60 liters of milk containing 20% of water, then the percent of water in the minture is?
Answer:
it is 15 percent than
Step-by-step explanation:
hope i could help
The table below represents a function.
what could be the equation of the function?
===============================================================
Explanation:
Pick any two rows from the table to form the (x,y) points. I'll pick the first two rows.
Use the slope formula to find the slope of the line through (-6,9) and (-4,6)
m = (y2-y1)/(x2-x1)
m = (6-9)/(-4-(-6))
m = (6-9)/(-4+6)
m = -3/2
m = -1.5
Of the four answer choices, only choice C has a slope of -1.5 so that must be the final answer. Note how the y intercept is b = 0 due to the point (0,0).
So y = -1.5x can be written as y = -1.5x+0; however, it's easier to go with the first option.
As a check, let's try something like x = 2
y = -1.5x
y = -1.5*2
y = -3
This verifies the second to last row of values. I'll let you check the other rows.
Your bank account balance is -$20.85. You deposit the $15.50. What is your new balance?
Answer:
-5.35
Step-by-step explanation:
-20.85
+15.50
this helps with the problem
Use the distributive property to write an equivalent expression.
8(3v+3w-2)
Answer:
8(3v+3w-2)=(8×3v+8×3w-8×2)
Step-by-step explanation:
8×3v=24v.
8×3w=24w. [24v+24w-16]=(8×3v+8×3w-2×8)
8×(-2)=-16.
Giải phương trình x^4-2x^3+2x^2-x-6=0
Answer:
[tex]x_{1} = - 1. \: \: x_{2} = 2[/tex]
Step-by-step explanation:
attached
points....................
Answer:
what.....................
Answer:
muchas gracias por los puntos
que tengas un buen dia
Anyone know the answers to 26 and 28?Please help me I’m sleep deprived
Answer:
26. 30 ≥ 7.5a + 4.5s 28. $22.50
Step-by-step explanation:
26. The family doesn't want to spend over 30 dollars, so when writing the inequality the amount they spend needs to be less than or equal to 30, hence the greater than/equal to sign. When writing the expression a - amount of adults & s - amount of students.
*remember in the question it states middle and high schoolers both count as students
The 7.5 is cost for adults and the 4.5 is cost for students.
28. You can use the expression created in 26
7.5a + 4.5s
Then substitute in the amount of people into their respective categories.
7.5(2) + 4.5(3) = 22.50
r-6
--------- = - 3
- 3
Answer:
r=0
Step-by-step explanation:
What is the smallest angle of rotational symmetry for a square?
45°
90°
180°
360°
Answer:
90 degrees
Step-by-step explanation:
When we want to find the rotational symmetry of a shape, we will take the total angle measure of most shapes (360 degrees) and divide it by the number of angles that shape has. Since a square has 4 angles, thats what we will divide by and the answer we get will be the smallest angle of rotation.
360 / 4 = 90
Best of Luck!
The smallest angle of rotational symmetry for a square is 90°. A square has four sides of equal length and four angles of 90° each, which means that rotating it by any multiple of 90° will result in the same image. Thus, the smallest angle of rotational symmetry is 90°.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and a finite number of sides. Additionally, some examples of a polygon include the following:
• Triangle
• Quadrilateral
• Pentagon
• Hexagon
• Heptagon
• Octagon
• Nonagon
Generally speaking, the measure of the angle at the center of a regular polygon is equal to 360 degrees. Therefore, the smallest angle of rotation that maps (carries) a regular polygon onto itself can be calculated by using this formula:
α = 360/n
The smallest angle of rotational symmetry for a square is 90°.
This means that the square can be rotated by 90° and still look the same.
It can also be rotated by 180° and 270° to look the same,
but the smallest angle is 90°.
Read more on regular polygon here:
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Rick had 6 meters 63 centimeters of wire in his toolshed. He bought 2 meters 24 centimeters more wire and put this in his shed. The next day, he used 344 centimeters of wire. How much wire does Rick have left in the toolshed?
Answer:
543 centimeters or 5 meters 43 centimeters
Step-by-step explanation:
663+224=887
887-344=543
28 + 2h = 2h + 6. What does “h” equal?
2h – 2h = 28-6 —> 0 = 22
It cannot be solved because 2h -2h equals zero, so there is no h .