Answer:
a > -15b
Step-by-step explanation:
3a + 7b > 2a – 8b
3a - 2a > - 8b -7b
a > -15b
The value of is as follows:
a > -15b
3a + 7b > 2a – 8b
The question wants us to make a the subject of the formula,
Therefore,
3a + 7b > 2a – 8b
subtract 2a from both sides
3a - 2a + 7b > 2a - 2a - 8b
a + 7b > - 8b
subtract 7b from both sides
a + 7b - 7b > - 8b - 7b
a > -15b
Therefore,
a > -15b
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Whats the greatest number of cross sections?
Complete the statement: 0.6L =______mL.
A. 600
B. 0.06
Answer: Complete the statement: 0.6L =______mL.
A. 600
Irrational numbers (picture provided)
Answer:
C would be irrational.
Step-by-step explanation:
Irrational means that you cannot make a distinct ratio with the number. One of the more famous irrational numbers are π. You cannot make π into a fraction with whole numbers for a numerator and denominator.
Other examples of irrational numbers are square roots that are not perfect square roots. C is not a perfect square so it is irrational.
Plz help! Big points!
A certain brand soda can has a diameter of 2 inches and a height of 5 inches. The garbage can in the lunchroom has a diameter of 24 inches and a height of 42 inches. If you poured a bunch of soda into the garbage, how many soda cans would it take to fill the garbage can to the top? Round your answer to the nearest whole can.
Answer:
1209
Step-by-step explanation:
v= pi* r^2* h r= d/2
soda:
d = 2 r = 1
h = 5
grabage:
d = 24 r = 12
h = 42
volume G: 19000.35
volume S: 15.71
volume G/ Volume S = # of soda cans
Zack needs $299.99 to buy the new bike he wants. He has saved $150 so far toward the new bike. From this week on, he will save $12.50 per week toward the new bike. Ten weeks from now, how much more money will he still need to save to buy the bike?
$24.99
$29.99
$127.49
$137.49
Answer:
The answer is $24.99
The solution is Option A.
The equation of line is y = 12.5x + 150 , where x is the number of weeks
The amount Zack needs after 10 weeks to buy the bike is $ 24.99
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
The price of the bike Zack needs to buy = $ 299.99
The initial amount with Zack = $ 150
The amount Zack saves in a week = $ 12.50
The number of weeks = x
The amount Zack saves in x weeks = 12.5x
So , the total amount with Zack after x week is given by the equation ,
Total amount with Zack after x week y = amount Zack saves in x weeks + initial amount with Zack
Substituting the values in the equation , we get
Total amount with Zack after x week y = 12.5x + 150
Now , after 10 weeks , the amount with Zack is
Substitute the value of x as 10 in the equation , we get
y = 12.5x + 150
y = 12.5 ( 10 ) + 150
y = 125 + 150
y = $ 275
Now , the amount left to buy the bike = price of the bike Zack needs to buy - amount with Zack after 10 weeks
Substituting the values in the equation , we get
Amount left to buy the bike A = $ 299.99 - $ 275
Amount left to buy the bike A = $ 24.99
Therefore , the value of A is $ 24.99
Hence , the amount Zack needs is $ 24.99
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Which function has the greatest value? Select all that apply
Megan has two boxes with the dimensions shown. She wants to use the box with the greater volume to ship a gift to her friend. Which box should Megan use? Explain.
Answer:
384 3/4
341 1/4
box A
Step-by-step explanation:
The volume of the box is given by the formula:
Volume = length * width * height
The volume of the box A is:
Volume_A = 9.5 * 3 * 13.5 = 384.75 cm3 = 384 3/4 cm3
The volume of the box B is:
Volume_B = 10 * 3.25 * 10.5 = 341.25 cm3 = 341 1/4 cm3
The volume of the box A is greater than the volume of the box B, so Megan should use the box A
1) Find the length of point A(-3,1) and B(2,6). Leave your
answer in RADICAL FORM ONLY.
Answer: The length of point A(-3,1) and B(2,6) is [tex]5\sqrt{2}\text{ units}[/tex] .
Step-by-step explanation:
We know that the distance between the two points (a,b) and (c,d) is given by :-
[tex]d=\sqrt{(a-c)^2+(b-d)^2}[/tex]
Given points = A(-3,1) and B(2,6)
Therefore the distance between the points A(-3,1) and B(2,6) is given by :-
[tex]d=\sqrt{(-3-2)^2+(1-6)^2}\\\\\Rightarrow\ d=\sqrt{(-5)^2+(-5)^2}\\\\\Rightarrow\ d=\sqrt{25+25}\\\\\Rightarrow\ d=\sqrt{50}\\\\\Rightarrow\ d=\sqrt{25\times2}\\\\\Rightarrow\ d=\sqrt{5^2\times2}\\\\\Rightarrow\ d=5\sqrt{2}\text{ units}[/tex]
Hence, the length of point A(-3,1) and B(2,6) is [tex]5\sqrt{2}\text{ units}[/tex] .
A triangle has sides of lengths 4, 3, and 5. Is it a right triangle Explain.
Hey!!!
It is a right angle.
The answer is yes; 4^2+3^2=5^2 [option D]
please see the attached picture for full solution
Hope it helps
What is the slope of the line?
Thank you!!
If someone can solve and show where it should be on the number line please do so
Answer:
The number line should have a filled in dot at -3 and should extend to the left where it is negative.
Step-by-step explanation:
If -3 is greater than or equal to c, then c has to be equal to -3 or smaller. So, the number line should include -3 with a filled in dot and should extend to the left of -3 where the more negative numbers are.
Answer:---> or o---> i think
Step-by-step explanation:
What is the solution to this equation?
-13x=78
O A. x= 6
B. X= -5
O c. x= -6
O D. x= 5
Plzzz help mee
Answer:
x = -6
Step-by-step explanation:
-13x=78
Divide each side by -13
-13x/-13 = 78/-13
x =-6
Answer:
x = -6
Step-by-step explanation:
-13x = 78
x = 78/-13
x = -6
Ms. Weston bought a watermelon that weighed 32ounces. She also bought an orange that was 1/4 the weight of the watermelon.
How many total pounds of fruit did she buy?
A: 1/2
B: 2 1/2
C: 8
D:56
Answer:
B is the correct answer
Step-by-step explanation:
Dimensional Analysis
The segments shown below could form a triangle?
Answer:
Option B; False
Step-by-step explanation:
Consider a Triangle Inequality to prove that these segments could form a triangle;
[tex]| a - b | < c < a + b,\\| c - a | < b < a + c,\\| c - b | < a < b + c, Considering - a - segment AC ( 8 units ) - b - BC ( 7 units ), - c - BC ( 15 units )\\\\| 8 - 7 | < 15 < 8 + 7,\\1 < 15 < 15, Now 15 is not < 15, it is =, thus ;\\Solution ; False[/tex]
These segments could not form a triangle
Isabel invested $200 in a fund for 6 years and was paid simple interest. The total interest that she received on the investment was $48. As a percentage, what was the annual interest rate of her investment.
64x^2-81 what’s the answer ?
Answer:
(8x-9)(8x+9)
Step-by-step explanation:
64x^2 - 81
Rewriting
(8x)^2 - 9^2
We recognize that this is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(8x-9)(8x+9)
Answer:
(8x+9)(8x-9)
Step-by-step explanation:
64x^2= 8x*8x
-81= 9*-9
HURRY, THIS IS TIMED!!!
Six students are working to simplify the expression shown.
Drag each student's answer to a box to show whether it is fully simplified, equivalent to the given expression but not fully simplified, or not equivalent to the given expression.
4y - 8x² - 5 + 14x² + y - 1
1. 3y + 6x² + 6
2. 3y + 6x² - 5 - 1
3. 5y + 6x² - 6
4. 5y - 6x² - 5 - 1
5. 5y - 8x² - 6 + 14x²
6. 4y + 6x² - 6 + y
Answer:
Step-by-step explanation:
1. not equivalent
2. not equivalent
3. fully simplified
4.not fully simplified
5. not fully simplified
6. not fully simplified
(SAT Prep) In the figure, what is the ratio of the area of square KLMN to the area of △LOK?
Answer:
D. 2:1
Step-by-step explanation:
Imagine a line that is parallel to the top of the square that passes thru point O
that would make two more triangles. The two in the top would be equal and the two in the bottom would be equal.
Therefore, the area of square KLMN is two times the area of triangle LOK
Answer:
D. 2:1
Step-by-step explanation:
Area of square KLMN = LM*LKArea of triangle LOK= 1/2*LM*LKratio of areas:
LM*LK : 1/2 LM*LK= 2:1Answer: 2:1 option D
Two waiters at a cafe each served 10 large fruit smoothies. The amount in each large smoothie is shown below. What is the mean amounts in Waiter A's Large Smoothies? Do not include units in your answer.
Answer:
answer is 5 my explanation is I took the quiz a.d bit but right
1_____=1.6_____ What
Answer:
1 mile is 1.6 km
Step-by-step explanation:
I don't know how to explain
The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely with paper. How much paper do you need?
Answer:
970.2
28x11x6.3
1,940.4/2
970.2
I need help with question 1, 2, 6, 7 and 8.
Answer:
Step-by-step explanation:
Q1) 15+15+15+15+15+15=90
Answer : 1 over 90 as a fraction
Q2) 2 over 2
Q6) 13 over 52
Can someone check my answers?
The amount of money in Alexander’s account is, = 4000 − 70, where is the amount in dollars and is the time in weeks.
a) Which variable is independent and which is dependent?
Answer: Dependent is -70x and independent is 4000
b) In which week will there be $1701 in the account?
Answer:
y=4000-70(x)
1701=4000-70(x)
-70x=1701-4000
-70x= -2299
x=-2299/-70
x=2299/70
x=32.843
x=33
c) How much will the amount in Alexander’s account change if the time increases by 15 weeks?
Answer:
y=4000-70(x)
y=4000-70(15)
y=2950
Answer:
yes you are correct
Step-by-step explanation:
The answers are a) y is the dependent variable, x is the independent value. b) 33 weeks and c) $2950
What are dependent and independent variables?The independent variable is the cause. Its value is independent of other variables in your study. The dependent variable is the effect. Its value depends on changes in the independent variable.
Given that, The amount of money in Alexander’s account is, y = 4000 − 70x, where y is the amount in dollars and x is the time in weeks.
a) Here, y is the dependent variable as it depends on the value of x, and x is the independent value.
b) We have, total amount = $1701
Therefore, put y = $1701
$1701 = 4000 − 70x
70x = 2999
x = 32.84 ≈ 33 weeks
c) In 15 weeks the amount will be =
y = 4000 - 70(15)
= $2950
Hence, the answers are a) y is the dependent variable, x is the independent value. b) 33 weeks and c) $2950
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plz help ill mark u brainliest do em all
Answers:
1. 90in^2 2. 238cm^2
Step-by-step explanation:
For the first one:
6•3=18
6•3=18
3•3=9
3•3=9
6•3=18
6•3=18
Now we add them all up:
18+18+9+9+18+18=90in^2
For the second one:
7•5=35
7•5=35
7•7=49
7•7=49
7•5=35
7•5=35
Now we add them all up:
35+35+49+49+35+35=238cm^2
Translate the phrase into an algebraic three dollars more than twice the cost of a bowl of soups 2+3
3(2c)
3+2c
2+2c
Answer:
3+2c
Step-by-step explanation:
To translate the phrase into an algebraic expression, you have to analyze the information provided. Three dollars more than twice the cost of a bowl of soups means that given that c is the costs of a bowl of soup, you have to multiply c for 2 as the phrase says twice the cost. Also, it says three dollars more which means that you have to add 3. According to this, the expression is: 3+2c.
Identify the graph and describe the solution set of this system of inequalities.
y> fx+5
Answer:
What does the graph look like
Step-by-step explanation:
The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
What is inequalities?In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal symbol ()" to indicate that two values aren't equal. But several inequalities are utilised to compare the numbers, whether they're less than or higher than.
The different inequality representations, properties, and methods for resolving linear inequalities throughout one variable or two variables will all be covered in this article along with examples. The inequality given is y> fx+5, if we plot the graph of the two inequalities, the graph of the inequalities will never meet at any point.
Therefore, the inequalities have no solution since their graph does not intersect or overlap.
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BRAINLIEST ANSWER Twice the difference of a number and 4 is equal to three times the sum of the number and 4. Find the number.
Answer: -20
Step-by-step explanation:
We can set up an equations with the conditions we are given. Let's use x for the missing number.
2(x-4)=3(x+4)
2x-8=3x+12
-20=x
Answer:
see below
Step-by-step explanation:
2(x-4) =3(x+4)
sum is addition
difference is subtraction
2 is multiply by2
solve 2(x-4) =3(x+4) distribute on both sides
2x - 8 = 3x + 12 add 8 on both sides
2x = 3x + 20 subtract 3x on both sides
-x = 20 multiply by -1
x = -20
which three measures could be side lengths of a right triangle?
5,7,2,\sqrt(27)
explain work please
First, let's square all the given measures, so we have 25, 27, 4, and 49. For three measures to form the sides of a right triangle, two of these squares have to add up to the third.
By inspection, we see that the measures of [tex]\boxed{5,\sqrt{27},7}[/tex] form a right triangle, since [tex]25+27=49.[/tex]
A model airplane has a scale of 2 in: 9 yards. If the wing span of the model airplane is 18 inches, how many yards is the actual wing span?
Answer:
81 yards
Step-by-step explanation:
Write an expression that gives the area of the shaded region in the figure.
Answer:
Area = 88 square units
Step-by-step explanation:
The length of the blue rectangle can be found by subtracting 15 and 4, which equals 11. The width of the blue rectangle can be found by subtracting 6 from 14, which equals 8.
area = length x width
area = 11 x 8
area = 88 square units