Answer:
a > -12
Step-by-step explanation:
Answer:
[tex] \frac{ - 1}{2} a < 6[/tex]
[tex]a < 6 \div \frac{ - 1}{2} [/tex]
[tex]a < 6 \times - 2[/tex]
[tex]a < - 12[/tex]
A chemist has two solutions of HNO3. One has a 40% concentration and the other has a 25% concentration.
How many liters of each solution must be mixed to obtain 57 liters of a 26% solution?
Step-by-step explanation:
Let +a+ = liters of 40% solution needed
Let +b+ = liters of 25% solution needed
+.4a+ = liters of HN03 in 40% solution
+.25b+ = liters of HN03 in 25% solution
------------------------------------
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(2) +a+%2B+b+=+57+
-----------------
(1) +.4a+%2B+.25b+=+.26%2A57+
(1) +.4a+%2B+.25b+=+14.82+
(1) +40a+%2B+25b+=+1482+
Multiply both sides of (2) by +25+
and subtract (2) from (1)
(1) +40a+%2B+25b+=+1482+
(2) +-25a+-+25b+=+-1425+
+15a+=+57+
+a+=+3.8+
and, since
(2) +a+%2B+b+=+57+
(2) +3.8+%2B+b+=+57+
(2) +b+=+53.2+
3.8 liters of 40% solution are needed
53.2 liters of 25% solution are needed
check:
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(1) +%28+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+
(1) +%28+1.52+%2B+13.3+%29+%2F+57+=+.26+
(1) +14.82+=+.26%2A57+
(1) +14.82+=+14.82+
think you should got the answer
what is the answer to -3x + 6 = 2x - 24
-3x + 6 = 2x - 24
To FindValue of 'x' term
Solution[tex] -3x + 6 = 2x - 24 [/tex]
[Bringing 2x to left side and 6 to right side]
[tex] = > - 3x - 2x = - 24 - 6 \\ \\ = > - 5x = - 30 \\ \\ = > x = \cancel \frac{ - 30}{ - 5} \\ \\ = > x = 6[/tex]
[tex] \fbox \red{Hope This Helps}[/tex]
I NEED HELP FAST PLEASE!!!!!!!!!!!!
Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 850 points. The number of two-point field goals that Lindsey made was 57 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 41 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Lindsey Smith made during the 2006 regular season.
Answer:
the answer of this question is 4000
Step-by-step explanation:
it's because if u add it up you will get the answer hope this helps
Identify the relationship between the pair of angles y and v PLZZZZ THANK YOUUUU
Answer:
Q1. angle x + angle y = 180°
Q2. angle x = angle y
What should I write ?
Answer:
It is true because 3/6 is that smallest fraction or "simplest form" of 6/12
Step-by-step explanation:
Al simplificar la expresión -3(a – b) + 5b – {2a + b + [a – 3b – (2b – a) + 5b] – a}, se obtiene:
Al simplificar la expresión-3 (a - b) + 5b - {2a + b + [a - 3b - (2b - a) + 5b] - a}, se obtiene: - (6a + 7b)
La simplificación de expresiones algebraicas requiere la eliminación de los corchetes por sus factores de multiplicación seguido de la combinación y agrupación de los términos semejantes en suma y resta.
De la información proporcionada:
= -3 (a - b) + 5b - {2a + b + [a - 3b - (2b -a) + 5b] - a}El primer paso es abrir los soportes de adentro hacia afuera.
i.e.
= -3a + 3b + 5b - {2a + b + [ a - 3b - 2b + a + 5b] - a}= - 3a + 3b + 5b - {2a + b + a - 3b - 2b + a + 5b - a}= - 3a + 3b + 5b -2a - b - a + 3b + 2b - a -5b + aAhora, el siguiente paso es la reorganización;
= - 3a - 2a - a - a + a + 3b + 5b - b + 3b + 2b - 5b= - 6a - 7b
Por factorización;
= - (6a + 7b)
Por tanto, podemos concluir que la simplificación de la expresión anterior es - (6a + 7b).
Obtenga más información sobre la expresión algebraica aquí:
https://brainly.com/question/11227332?referrer=searchResults
Ethan, Caleb, and Jayden went to a bakery to buy desserts. Ethan bought 2 cupcakes, 2
brownies and a pie for $20. Caleb bought 4 cupcakes, 4 brownies and a pie for $44, Jayden
bought 5 cupcakes and 6 brownies for $40. Write a system of equations to represent is
situation. Convert the system to a matrix and find the cost of 1 cupcake, 1 brownie, and 1
pie to the nearest cent.
Answer:
x = 32
y = -20 and
z = -4
Step-by-step explanation:
Cupcakes = X
Brownies = Y
Pies = Z
Ethan = 2x+2y+z = 20
Caleb = 4x+4y+z = 44
Jayden = 5x+6y = 40
-1(2x+2y+z=20) =
(-2x - 2y - z = -40) + (4x+4y+z=44)
= 5x + 6y = 40
-3(2x+2y=24 =
(-6 - 6y = -72) + (5x + 6y = 40)
= - x = - 32
= x = 32
5 (32) + 6y = 40
= 160 + 6y = 40
6y = 40 - 160
y = 120/6
y = - 20
2(32) + 2(-20) + z = 20
64 - 40 + z = 20
z = 20 - 24
z = -4
The highest common factor (HCF) of two numbers is 6.
The lowest common multiple (LCM) of the same numbers is 60
What are the two numbers?
Please explain every step
Answer:
12 and 30
Step-by-step explanation:
HCF = 6 = 2×3 means they both have in common a factor of 2 and a factor of 3, but at least one of the numbers has no more than one of each of these factors.LCM= 60=2²×3×5 means That the combined product of their factors counting only once the ones they have in common is 60.so they could be 2×2×3 = 12 and 2×3×5 = 30
A boutique sold $127.50 worth of purses. How many purses did they sell?
$7.50
Answer:
They sold 17 purses
Step-by-step explanation:
Solve.
Ms. Holmstrom set up a math problem to find out how much money her class spends for lunches at the cafeteria for over a 2-day period. On Monday, 14 students bought lunches in the cafeteria, and 16 students bought lunches on Thursday. If lunches cost $2.50 each, how much money has Ms. Holmstrom's class spent?
Answer:
They have spent $75
16+14 = 30
30 x 2.50 = 75
Step-by-step explanation:
simplify. 5 - 8 ÷ 2 + 4
Answer:
5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
5 - 8 ÷ 2 + 4
Step 2: Simplify
Division: 5 - 4 + 4Subtract: 1 + 4Add: 5Can anyone solve this???
Answer:
4
Step-by-step explanation:
dmndndndndndnndndnndndnndndndnxmxn que la vida
whats the 147th letter in this pattern abcd,abcd,abcd,abcd,abcd…
Explain and show your work
Answer:
the answer is abcdefgh because of that it explains the and
Answer: abcdefgh
Hope this helps
Your friend calculates the distance between points Q(1,5) and R(3,8), as shown below. What is his error?
The distance between two points is the number of units between them.
The distance between Q and R is 3.61 units
It is impossible to determine your friend's error, because the steps are not given in the question. So, I will calculate the distance between Q and R, instead.
The distance (d) between two points is:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
So, the distance QR is:
[tex]QR = \sqrt{(1 - 3)^2 + (5 - 8)^2}[/tex]
[tex]QR = \sqrt{(- 2)^2 + (- 3)^2}[/tex]
Evaluate exponents
[tex]QR = \sqrt{4 +9}[/tex]
[tex]QR = \sqrt{13}[/tex]
Take square root of 13
[tex]QR = 3.61[/tex]
Hence, the distance between Q and R is 3.61 units
Read more about distance at:
https://brainly.com/question/16310813
Answer 6-7 thanks!!!!
Current rules for telephone area codes allow the use of digits 2-9 for the first digit, and 0-9 for the second and third digits, but the last two digits cannot both be 1 (to avoid confusion with area codes such as 911). How many different area codes are possible with these rules? That same rule applies to the exchange numbers, which are the three digits immediately preceding the last four digits of a phone number. Given both of those rules, how many 10-digit phone numbers are possible? Given that these rules apply to the United States and Canada and a few islands, are there enough possible phone numbers? (Assume that the combined population is about 400,000,000.)
Using the fundamental counting theorem, we have that:
648 different area codes are possible with this rule.There are 6,480,000,000 possible 10-digit phone numbers.The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.
For the area code:
8 options for the first digit.9 options for the second and third.Thus:
[tex]8 \times 9 \times 9 = 648[/tex]
648 different area codes are possible with this rule.
For the number of 10-digit phone numbers:
7 digits, each with 10 options.648 different area codes.Then
[tex]648 \times 10^7 = 6,480,000,000 [/tex]
There are 6,480,000,000 possible 10-digit phone numbers.
The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.
A similar problem is given at https://brainly.com/question/24067651
Answer: Number of possible area codes: 792
Amount of 10-digit phone numbers: 6,273,640,000
Step-by-step explanation:
which is bigger 0.8253 or 0.82?
will give brainliest!!!
Answer:
0.8253
Step-by-step explanation:
because there are numbers after, 0.8253 is bigger. 0.82 doesn't have any numbers after to make it slightly bigger.
Can someone pleas help me with this
Which of the following lists of values contain rational numbers only?
Group of answer choices
90, -1.375 , π
−81−−−√,7√7√,4.16
28−−√,0,313
639,116−−√,50−−√
Answer:
90, -1.375 , π
Step-by-step explanation:
I needhelp with this math assignment
Under his cell phone plan, Brandon pays a flat cost of $61 per month and $4 per
gigabyte. He wants to keep his bill under $75 per month. Write and solve an
inequality which can be used to determine g, the number of gigabytes Brandon can
use while staying within his budget.
Inequality:
g=
Answer:
61 + 4x = 75
Step-by-step explanation:
75 - 61 = 14
14 / 4 = 3.5
He can only use 3 gigabytes.
Answer:
[tex]61 + 4g < 75 \\ 4g < 75 - 61 \\ 4g < 14 \\ g < 3.5[/tex]
The answer is g is less than 3.5 GB per month
PLS HELP WILL MARK AS BRAINLIEST
Answer:
26. the y intercept is -6
27. the y intercept is 2
28. the y intercept is -3
29. I cant answer because it is cut off in the picture...
Step-by-step explanation:
These equations follow a simple formula- the slope formula
y=mx+b
In this formula:
b is the y intercept
m is the slope that is multiplied by x
hope this helps:)
please crown me brainliest!!!
show work pleasee 15 points
Answer:
It's D; 32 ounces, because you get more for the price.
Answer:
A. 10 oz
Step by step explanation:
The question asks which one has the lowest unit price. The key word is unit, not just what is shown on the chart. You have to divide the price by the number of ounces to get the price for one ounce(unit). Then you look at all the prices and whichever one is the lowest is the answer. These are the unti prices after you divide the price by the number of oz
A=0.079
B=0.086
C=0.120
D=0.0996875
What is the measure of the supplement of each angle 117º
Answer:
The supplementary angle of 117° :
= 180° – 117°
= 63°
could someone please help answer this, no spam please, will give brainliest thank you!, (homework help)
Answer:
The answer would be B < - 1
Write the equation for the line passes through (6, -2) and (-3, 1).
*You must show all your work to get credit.
PLS HELP DUE IN 10 min
Answer: y= -3x + 16
Step-by-step explanation:
I'm assuming that you mean a linear equation
So the first thing that you want to do is find the slope for the line.
1-(-2) / -3 - 6= -9/3= -3
Now that you have the slope you can pick one of the points to plug in.
-2 = -3(6) + b
We don't know what the y intercept is so we'll need to solve for that.
-2= -18 + b
add -18 to -2
16=b
so your equation will be
y= -3x + 16
A line passes through the points (0, 9) and (9, 19). What is its equation in slope-intercept form?
Answer:
y = 10/9x + 9
Step-by-step explanation:
To write the equation in its slope-intercept form, y = mx + b, we need to find the slope (m) of the line and its y-intercept (b).
Given the points (0, 9) and (9, 19), we can solve for the slope of the line using the following formula:
[tex]m = \frac{y2 - y1}{x2 - x1}[/tex]
Let (x1, y1) = (0, 9)
and (x2, y2) = (9, 19)
Substitute these values on the formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{19 - 9}{9 - 0} = \frac{10}{9}[/tex]
Therefore, the slope (m ) = 10/9.
Next, the y-intercept is the point on the graph where it crosses the y-axis, and has the coordinates, (0, b ). It is also the value of the y when x = 0.
One of the given points is the y-intercept of the line, given by (0, 9). The y-coordinate, 9, is the value of b.
Therefore, the linear equation in slope-intercept form is: y = 10/9x + 9
En tu cuaderno resuelve las multiplicaciones usando el procedimientos diferentes en cada caso describe en qué consiste
Answer:
dos
Step-by-step explanation:
witch equation represents a direct proportion?
Answer:
y=kx
Step-by-step explanation:
For Exercises 8 and 9, find the lengths of all three sides of the triangle.
9514 1404 393
Answer:
8. GH = 49; HJ = 35; JG = 35
9. KL = 26, LM = 26, MK = 20
Step-by-step explanation:
8. The sides opposite the marked angles are congruent.
JG = JH
3x +8 = 35
3x = 27 . . . . . . . subtract 8
x = 9 . . . . . . . divide by 3
We already know JG and JH, so we only need to find GH:
GH = 6x -5 = 6(9) -5 = 54 -5 = 49
Then the side lengths are ...
GH = 49, HJ = 35, JG = 35
__
9. This, too, is an isosceles triangle.
LK = LM
26 = 2y+8
18 = 2y . . . . . . . subtract 8
y = 9 . . . . . . . divide by 2
KM = 3(9) -7 = 27 -7 = 20
Then the side lengths are ...
KL = 26, LM = 26, MK = 20