[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
3x − 5 = 2x + 2[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf \: 3x - 5 = 2x + 2[/tex]
Subtract 2x from both sides.
[tex] \large \sf \: 3x-5-2x=2 [/tex]
Combine 3x and -2x to get x.
[tex] \large \sf \: x-5=2 [/tex]
Add 5 to both sides.
[tex] \large \sf \: x=2+5 [/tex]
Add 2 and 5 to get 7.
[tex] \large{ \boxed {\bf \: x=7 }}[/tex]
A chemist wants to mix an 8% salt solution with a 20% salt solution to obtain 12 liters of an 18% salt solution. How much of the 20% solution should she use?
a. 9 liters of the 20% solution
b. 6 liters of the 20% solution
c. 10 liters of the 20% solution
d. 2 liters of the 20% solution
C: 10 L of the 20% solution
Let
x = amount of 8% solution
y = amount of 20% solution
The chemist wants to end up with a 12-L mixture, so
x + y = 12
x L of 8% solution contains 0.08x L of salt, and y L of 20% solution contains 0.2y L of salt. When combined, the resulting mixture should have a concentration of 18% salt, or 18% of 12 L = 2.16 L of salt, so
0.08x + 0.2y = 2.16
Solve for y :
x = 12 - y
0.08 (12 - y) + 0.2y = 2.16
0.96 - 0.08y + 0.2y = 2.16
0.12y = 1.2
y = 10
In a class, two out of every 10 students fails. If there are 50 students in the class, how many pass the test
Step-by-step explanation:
[tex]thank \: you[/tex]
Answer:
10 students
Step-by-step explanation:
10 students=2 fail
50 students=10 fail
Hope this helps! Thanks.
20. In the above figure, ZAOB = 80°. What does ZACB equal?
A. 10°
B. 160°
C. 80°
O
D. 40°
Answer:
D. 40
Step-by-step explanation:
A central angle is equal to the measure of its corresponding arc.
angle AOB is a central angle and it's corresponding arc is arc AB
this means that arc AB = measure of angle AOB
If angle AOB = 80 degrees then arc AB equals 80 degrees too.
An inscribed angle is equal to half the measure of its intercepted arc.
Angle ACB is an inscribed angle and the arc it intercepts is arc AB
This means that angle ACB = 1/2 of arc AB
We have found that the measure of arc AB is 80 degrees.
This means that angle ACB = 1/2 of 80 which is 40
A store is having a sale on jelly beans and trail mix. For 7 pounds of jelly beans and 9 pounds of trail mix is a total of $42. For 5 pounds of jelly beans and 3 pounds of trail mix is a total of $24. Find the cost for each pound of jelly beans and each pound of trail mix?
Answer:
One pound of jelly beans costs $3.75.
One pound of trail mix costs $1.75.
Step-by-step explanation:
Let [tex]x[/tex] be equal to one pound of jelly beans.
Let [tex]y[/tex] be equal to one pound of trail mix.
1) Form equations
We're given:
7 pounds of jelly beans + 9 pounds of trail mix = $42
⇒ [tex]7x+9y=42[/tex]
5 pounds of jelly beans + 3 pounds of trail mix = $24
⇒ [tex]5x+3y=24[/tex]
Now, we have our two equations:
[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]
2) Solve for x using elimination
[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]
Multiply the second equation by 3 to change 3y to 9y:
[tex]5x+3y=24\\3(5x+3y)=3(24)\\15x+9y=72[/tex]
Subtract the first equation from the second to eliminate y:
[tex]15x+9y=72\\- 7x+9y=42\\\rule{2.5cm}{0.4pt}\\8x=30[/tex]
Divide both sides by 8 to isolate x:
[tex]\displaystyle x=\frac{30}{8} \\\\x=3.75[/tex]
Therefore, one pound of jelly beans costs $3.75.
2) Solve for y using substitution
[tex]\displaystyle\left \{ {{7x+9y=42} \atop {5x+3y=24}} \right.[/tex]
Now, we know that x=3.75. Plug this value into one of the equations and solve for y:
[tex]5x+3y=24\\5(3.75)+3y=24\\18.75+3y=24\\3y=24-18.75\\3y=5.25\\\\\displaystyley=\frac{5.25}{3} \\\\y=1.75[/tex]
Therefore, one pound of trail mix costs $1.75.
I hope this helps!
7 thousands 8hundredsx10
Answer:
78,000
Step-by-step explanation:
solve for t..................................
Answer:
-4.375
.......................
The product of two whole numbers is 588 and their sum is 49. What are the two numbers?
Answer:
Here is your answer. HOPE THIS HELPS YOU! STAY BLESSED.
Answer:
28,21
Step-by-step explanation:
let the numbers be x and y
x+y=49
y=49-x
xy=588
x(49-x)=588
49x-x²=588
x²-49x+588=0
[tex]x=\frac{49 \pm \sqrt{49^2-4*1*588} }{2*1} \\=\frac{49 \pm \sqrt{2401-2352} }{2} \\=\frac{49 \pm\sqrt{49} }{2} \\=\frac{49 \pm 7}{2} \\=\frac{49+7}{2} ,\frac{49-7}{2} \\=28,21[/tex]
A spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. The spinner is spun several times, and the results are recorded below:
Spinner Results
Color Frequency
Red 8
Blue 8
Green 3
Yellow 7
Purple 16
Based on these results, express the probability that the next spin will land on red or green or purple as a decimal to the nearest hundredth.
Step-by-step explanation:
The probability is the number of desired observations (red, green, blue) divided by total number of observed outcomes.
What are the domain and range of the function below?
PLZ help me i hate algebra 2 and i started school last week
Answer:
According to the graph the point (0, 4) is the maximum of the function.
So the domain:
x = [0, +∞)The range:
y = (-∞, 4]Alicia is writing the program for a video game. For one part of the game she uses the rule ( x,y) -> ( x - 3, y + 4) to move points on the screen. A) What output does the rule give when the input is ( -6, 0)? Show your work. B) What output does the rule give when the input is ( 3, -4)? Show your work. C) Is the rule a function? Explain why it is or why it is not. ( Show all work and you'll recieve Brainliest).
Answer:
See below.
Step-by-step explanation:
The rule moves points 3 units to the left and 4 units up.
(-6, 0) moves to (-6 - 3, 0 + 4) = (-9, 4)
(3, -4) moves to (3 - 3, -4 + 4) = (0, 0)
The rule is a function because each point is moved to exactly one new location. There is no case in which two different points are moved to the same location.
Evaluate the expression for the given values of the variables. x2 + 4(x − y) ÷ z2, for x = 8, y = 5, and z = 2
does the table represent a function
Answer:
Yes, the table represents a function.
Step-by-step explanation:
A function doesn't have multiple x values (inputs).
If the table were to have more than one 5 (or more than one 4 etc.) in the input column then it would not be a function.
What is the volume of the pryinid in the diagram
Answer:
25 cm3
Step-by-step explanation:
Step 1: Determine the base area and the height of the pyramid. Step 2: Find the volume using the general formula, V = (1/3) Base Area × Height, or V = a3/6√2 cubic units when the edge length 'a' of the triangular face is known. Step 3: Represent the final answer with cubic units.
To make a cake, one pound of dry cake mix is needed. However, when pouring cake mix into the mixing bowl, 10% spills onto the floor and is unusable. What is the standard amount of cake mix necessary to make a cake
Answer:
it will be ten left
Step-by-step explanation:
the cake max is 20
Answer: 1.10 pounds
Step-by-step explanation:
HELP PLS!! PLS BRO LOLOLOLOL
Answer and Step-by-step explanation:
An easy way of doing this is to first square root the numerator and the denominator.
[tex]\sqrt{\frac{36}{81} } =\frac{\sqrt{36}}{\sqrt{81} } =[/tex] ±[tex]\frac{6}{9} =[/tex] ±[tex]\frac{2}{3}[/tex] <- This is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
What is the answer for this question
Step-by-step explanation:
n/6=3/8
then we will cross
8n=6×3
8n=18
8n/8=18/8
n=2.25
if it is not correct sorry
A drink contains 20% mango juice and the rest is apple juice. What is the ration of mango juice to apple juice
Answer:
% of apple juice = 100-20 = 80%
mango : apple
= 20 : 80
= 1 : 4
Answer:
1:4
Step-by-step explanation:
20:80 is basically mango to apple juice, so all you have to do is simplify this ratio to the lowest form, which is in fact 1:4
Write and solve an equation to find the numben.
The sum of twice a number and 13 is 75
Equation = 75
The number isn=
Answer:
32
Step-by-step explanation:
let number=b
twice a number=2b
Condition:
2b+13=75
2b=75-13
2b=62
b=62/2
b=31
Note:if you need to ask any question please let me know.
5x+8=3(x+2) anyone know the answer?
Step-by-step explanation
work out the question in bracket first then separate numericals and variables to make it easier.
Answer:
distribute
5 + 8 = 3 ( + 2 )
expand to
5 + 8 = 3 + 6
subtract 8 from both sides
5 + 8 = 3 + 6
5 + 8 − 8 = 3 + 6 − 8
simplify
5 = 3 − 2
subtract 3 from both sides
5 − 3 = 3 − 2 − 3
simplify
2 = − 2
then divide both sides by 2
2 / 2 = − 2/ 2
= − 2/ 2
answer is
= −1
Step-by-step explanation:
Hope that helps>3
Explain why each non-zero integer has two square roots but only one cube root.
if angle BÂD=19°
Find angle ACB
Answer:
<ACB = 19°
Step-by-step explanation:
<BAD is a peripheral angle, meaning the angle it intersects is twice it. This means that arc AB is 2*19 or 38. Now, <ACB is an inscribed angle because it has a vertex on the circle. An inscribed angle is half the angle it intercepts. This means <ACB is 1/2 arc AB or 19.
How do you divide 250÷100
Answer:
250 ÷ 100 (so we'd reciprocate the right side and also change the sign to multiplication one) =250/1 x 1/100 (now we will cut 250 and 100 as much as they can be cut or reduced) =5/1 x 1/2 (now as they can no more be reduced we directly multiply them) =5/2 (now we will divide them both to get our anwer)
Step-by-step explanation:
if you served me crown please
Answer:
By using the GCF/HCF method 5/2 is the simplified fraction for 250/100.
Step-by-step explanation:
The step by step calculation of how to simplify the fraction 250/100 to its lowest term or simplest form. One of two methods used to convert the fraction to its lowest terms is the GCF or HCF method
Given Fraction: 250/100
Find GCF (Greatest Common Factor) for both numerator and denominator.The GCF for 250 and 100 is 50
Divide the numerator and denominator by GCF 50 and rewrite the fraction= (250/50) / (100/50)
= 5/2
Michaela has h hair ties. Michaela's sister has triple the number of hair ties that
Michaela has. Choose the expression that shows how many hair bows
Michaela's sister has.
A. h^3
B.3/h
C. 3h
D. H/3
9514 1404 393
Answer:
C. 3h
Step-by-step explanation:
In algebra, multiplication by a number is indicated by placing the number next to the variable, with or without a multiplication symbol.
3×h = 3·h = 3h
In plain text, the asterisk (*) is sometimes used as a multiplication symbol. Some folks will use a period (decimal point) as a multiplication symbol, but that tends to be confusing.
"Triple" means "three times", so the number of hair ties Michaela's sister has is ...
3 times h = 3h
_____
Additional comment
The caret (^), as in h^3, is used to signify repeated multiplication. The term h^3 means h×h×h. This is not the same as h+h+h = 3h.
The slash is used to signify division.
3/h means 3÷h.
h/3 means h÷3.
If Michaela's sister had h/3 hair ties, she would have one-third the number Michaela has. That is not the same as 3 times the number Michaela has.
what times we subtract the number 80 by 8
Answer:
Question unclear
Step-by-step explanation:Your probally asking what times 8 gives us 80. If you are than 10!
Where would radicals come in the order of operations? Explain why.
Answer:
exponents, multiplication division addition and subtraction and radicals. They're gonna come right here with exponents on.
Step-by-step explanation:
The reason for this is because radicals, for example, X to the power or this very day vaccine is the same as X to the power of one. The humor to perhaps is the same as actually the power of 1/3. So really any radical can be expressed is an exploded as well. So this is why radicals are grouped with exponents right here. So after Grant sees in priority, but before multiplication and division
Radicals are expressions with roots (e.g. square roots, cube roots, etc.)
Radicals should be evaluated after all grouping symbols, but before any other arithmetic operators.
The grouping symbols are: brackets and parentheses
The other arithmetic operators are: addition, subtraction, division and multiplication.
Take for instance:
[tex]\mathbf{2\sqrt{4} + (5 \times 3) - 2}[/tex]
First, we evaluate the expressions in brackets
[tex]\mathbf{2\sqrt{4} + (5 \times 3) - 2 = 2\sqrt{4} + 15 - 2}[/tex]
Next, we evaluate the radical
[tex]\mathbf{2\sqrt{4} + (5 \times 3) - 2 = 2 \times 2 + 15 - 2}[/tex]
Then, we solve the remaining expressions.
Read more about radicals at:
https://brainly.com/question/1369233
PLS HELP MEE , WILL MARKTHE BRAINLIEST PLS
Step-by-step explanation:
hopefully it is visible and makes sense
:)
Answer:
x=67 degrees
y=63 degrees (vertically opposite angles)
z=32 degrees
Step-by-step explanation:
x=130-63(sum of 2 interior angles of a triangle is equal to the opposite exterior angle)
x=67 degrees
y=63 degrees (vertically opposite angles)
z+y+85=180
z+63+85=180
z+ 148 =180
z =32 degrees
a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?
Answer:
9/10
Step-by-step explanation:
0.90 = 0.9 = 90/100 = 9/10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Simplify 24 ÷ (3 + 2 square)
Answer:
3.42
Step-by-step explanation:
24/7=3.42
SfGnjjjksksjnshshdhsjsjskakajaja
Answer:
7.4641
Step-by-step explanation:
Find the distance between the points G( – 5, 4) and H(2.6)
The exact distance between the two points is?
9514 1404 393
Answer:
√53 units
Step-by-step explanation:
The distance between G(-5, 4) and H(2, 6) can be found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((2-(-5))² +(6-4)²) = √(7² +2²) = √53
The distance between the two points is √53 units.