Answer:
x = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x + 4y = -3
x = -2y - 1
Step 2: Solve for y
Substitution
Substitute in x: 3(-2y - 1) + 4y = -3Distribute 3: -6y - 3 + 4y = -3Combine like terms: -2y - 3 = -3Isolate y term: -2y = 0Isolate y: y = 0Step 3: Solve for x
Define equation: x = -2y - 1Substitute in y: x = -2(0) - 1Multiply: x = 0 - 1Subtract: x = -1Find the area of the square rug if its side is (6x + 1) feet.
The area of the square rug is ( )
Area of a square:
A= side^2
= (6x + 1) ^2
= 36x^2 + 12x + 1 feet^2
Tora took a short trip of 320 miles. He stopped to have lunch after he had driven 120 miles. Write the fraction of the trip he had completed by lunch in simplest form. Then write the fraction as a decimal.
Answer:
The fraction of the trip completed is ³/₈
The fraction of the trip completed in decimal form is 0.375
Step-by-step explanation:
Given;
total trip to be completed by Tora, = 320 miles
distance completed by Tora, = 120 miles
The fraction of the race that Tora has completed is given as;
[tex]= \frac{distance \ completed}{total \ distance} \\\\= \frac{120}{320}\\\\= \frac{12}{32} \ (divide \ both \ numerator \ and \ denominator \ by \ 4)\\\\= \frac{3}{8}[/tex]
As a decimal the fraction is written as;
[tex]\frac{3}{8} = 0.375[/tex]
Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20. If x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced, the system of equations that represents this situation is x + y = 110 and y = 2x + 20.?
Step-by-step explanation:
Let x is the number of type 1 cabinets produced and y is the number of type 2 cabinets produced.
The total no of cabinets are 100
Equation will be : x+y = 110
We can write it as : y = 110-x ...(1)
Last week, the number of type 2 cabinets produced exceeded twice the number of type 1 cabinets produced by 20.
Equation will be : y = 2x + 20 ...(2)
Put the value of y from equation (1) into equation (2).
110-x = 2x + 20
Combining like terms,
110-20 = 2x+x
90 = 3x
x = 30
Put the value of x in equation (1) :
y = 110-30
y = 80
Hence, there are 30 cabinets of type 1 and 80 cabinets of type 2.
Shawnda spent $259.20 on a scooter. This was 80% of her budget for a new scooter. How much was the total budget?
The total budget was = $324
The percentage of budget spent = 80%
The cost of 80% of budget spent on scooter = $259.20
But the percentage of total budget = 100%
Therefore the cost of total budget =
[tex] \frac{100 \times 259.20}{80} [/tex]
[tex] \frac{25920}{80} [/tex]
= 324
Therefore the cost of the total budget = $324
Learn more here:
https://brainly.com/question/16790959
What is the equation
Answer:
x=15
Step-by-step explanation:
6+9=15
so x=15
Jim and Carla are scuba diving. Jim started out 8 feet below the surface. He descended 20 feet, rose 7 feet, and descended 12 more feet. Then he rested. Carla started out at the surface. She descended 15 feet, rose 7 feet, and descended another 20 feet. Then she rested. Which person rested at a greater depth?
Answer:
Jim.
Step-by-step explanation:
Descending results in a greater depth so we add the measurements when they descend and rising results in a lower depth so we minus the measurements when they rise. The surface area has no depth yet, so it is 0 feet depth.
Jim = 8 + 20 - 7 + 12
= 33
Carla = 0 + 15 -7 + 20
= 28
Since 33 feet is deeper than 28 feet, Jim rested at a greater depth.
PLS ANSWER ASAP!! WILL MARK BRAINLIEST! 35 POINTS!
Answer:
Step-by-step explanation:
c) corresponding angles postulate
B
E
A
C
If the length of AC equals 50, what is the length of the midsegment DE?
If the length of AC equals 50, the length of the midsegment DE is 25.
please help.........
Answer:
Concept: Geometric Identities
Look at the sides, two sides and the same, which are indicated by the strikes and the angle is the same.So by that logic we will use SASAnswer:
I think it is 2
Step-by-step explanation:
What is the y-coordinate of point W?
PLS ASAP
============================================================
Explanation:
Draw a horizontal line from W to the y axis. You should arrive somewhere between -1 and -2. While this isn't exact, it looks like we should arrive right at the middle of -1 and -2; therefore we should get to -1.5
The y coordinate of W is -1.5
Keep in mind this is based on the assumption we reach the halfway point. Unfortunately, W is not on any horizontal grid lines to be able to determine exactly where W is along the y axis.
Las dimensiones de un prisma rectangular son x + 5 para la longitud, x + 9 para el ancho yx para la altura. ¿Cuál es el volumen del prisma? Ingrese su respuesta como un polinomio en forma estándar.
Answer:
Step-by-step explanation:
The total area of the prism: A = 2 [3h² + 21h + 24]
The volume of the prism: V = h³ + 11h² + 24h
The area of a rectangular prism is calculated by knowing the sides of the rectangular base (a and b) and its height (h)
A = 2 (ab + ah + bh)
The volume of a rectangular prism is calculated as the product of its dimensions:
V = a * b * h
b- a = 5 ⇒b = 5 + a
Please help me thanks please
A cleaning solution is made from vinegar, lemon juice, and water. The table below shows the part of the total solution that is in each element. Mr. Allen needs 100 mL of a solution that is 30% vinegar, 15% lemon juice, and 55% water. How much of solution A will Mr. Allen need to make his cleaning solution?
a. 0 mL
b. 10 mL
c. 30 mL
d. 50 mL
Answer:
30 ml (c)
Step-by-step explanation:
Answer:
30 mL :)
Step-by-step explanation:
Plsss someone answer it fasttt
NEED HELP ASAP PLEASE HELP!!!!
Answer:
d
Step-by-step explanation:
find the value of x if 5^2 ×5^x-5 =625
Given:
[tex]5^2\times 5^{x-5}=625[/tex]
To find:
The value of x.
Solution:
We have,
[tex]5^2\times 5^{x-5}=625[/tex]
It can be written as
[tex]5^2\times 5^{x-5}=5\times 5\times 5\times 5[/tex]
Using property of exponents, we get
[tex]5^{2+x-5}=5^4[/tex] [tex][\because a^m\times a^n=a^{m+n}][/tex]
[tex]5^{x-3}=5^4[/tex]
Comparing the exponents on both sides, we get
[tex]x-3=4[/tex]
Adding 3 on both sides, we get
[tex]x=4+3[/tex]
[tex]x=7[/tex]
Therefore, the value of x is 7.
9% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
Answer:
9/100.
Step-by-step explanation:
9% is equal to about 9/100. 9/100 is the simplest form.
Gary is exercising on the stationary bike in his garage. He bikes 3.5 miles in
1/4
of an hour. How many miles could Gary bike in
3/4
of an hour at the same speed?
Write your answer as a whole number, decimal, fraction, or mixed number. Simplify any fractions.
Answer:
10.5 miles
Step-by-step explanation:
3 * 3.5 = 10.5
If you answer properly i will make you brainliest.
Answer:
2C + 5F > 175
Step-by-step explanation:
C = croissant F = french bread
You make $2 for each C, $5 for each F.
Since you don't know the actual numbers, you would use the variable C and F for later.
Added together, it must be greater than $175, so use the > sign.
Answer:
2.00C + 5.00F > 175
Step-by-step explanation:
660 divided by 15 is the same as?
Answer:
44
Step-by-step explanation:
Just divide 660 by 15 to get 44.
Select all of the correct solutions for the following equation
52
2y = 18
a
o ad oo
(5,3)
(4,1)
(3,3)
c
None of the above
Answer:
Your answer is (4,1).
Step-by-step explanation:
5x - 2y = 18
5(4) - 2(1) = 18
20 - 2 = 18
18 = 18 (Which means it's correct)
Let me know if you need anymore help!
estimate 193.87 ÷ 5
Answer:
38.774
Step-by-step explanation:
Answer:38.774
Step-by-step explanation:
what day in june will jessica be working at both locations
Answer:
Not enought information
Step-by-step explanation:
Maybe put a picture?
Mrs.Johnson gets her morning coffee . She can’t decide which size to order . Which size is better buy ?
Small- 12 oz for $3.95
Medium 16 oz for 4.25$
Large - 20oz for $4.55
Answer:
medium
Step-by-step explanation:
yea sure so according to my calculations small is 3.95 so if we subtract the medium size minus 3.95 which would be 4.25-3.95 the difference is 30 cents now if we subtract large size by small size 4.55-3.95 the difference is .60 cents therefore if she wants to save .60 cents i would choose medium size but large minus medium 4.55-4.25 it would also be .30 cents
-2x + y = 5
what does y equal and how did you solve it?
Answer:
y=2x+5
Step-by-step explanation:
Let's solve for y.
−2x+y=5
Step 1: Add 2x to both sides.
−2x+y+2x=5+2x
y=2x+5
Answer:
y = 2x + 5
Step-by-step explanation:
-2x + y = 5 or y -2x = 5
We want what y equals so we need to isloate it. To do this, we need to add2x to both sides. This will cancel the 2x on the left side and now we have y alone. Remember, you have to do it to both sides. Therefore:
y = 2x + 5
Note: This equation is in slope-intercept form, y= mx + b
If this was the equation of a line:
m (slope) = 2
b (y-intercept) = 5
Hope this helps!
What is 60% of 40, show your work?
Answer:
24
Step-by-step explanation:
40×60%=240 240÷100= 24%
Leo can run a mile in 7.45 minutes. At that rate, how long would it take for him to run a marathon (we let a marathon equal 26.2 miles)?
multi subs AND THIS AND THAT AND THIS AND THAT
Answer:
195.19 min
Step-by-step explanation:
7.45 x 26.2 = 195.19
PLZ HELP, GIVING BRAINLIEST!!!!
Use the graph to state the number of turning points and the location of the local minimum and local maximum. (Check both pics for graph and answer choices)
Answer:
C
Step-by-step explanation:
There are three turning points.
The local minimums are (-1,-5) and (1, -5)
The local maximum is (0,-4)
How does drawing the line of best fit help you understand exponential growth?
Answer:
Line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. A regression involving multiple related variables can produce a curved line in some cases
Step-by-step explanation:
Please, I need help ASAP!
Answer:
A
Step-by-step explanation:
You can eliminate B and D because it’s using [tex]\frac{g}{f}[/tex], but the question is asking [tex]\frac{f}{g}[/tex]. So it’s either A or C. They are both written correctly, but out of the two, A is correct because just that x ≠ [tex]\sqrt{7}[/tex] part of it is what makes it true.
The reason being is that the only thing that won’t make [tex]\frac{2x+1}{x^{2}-7 }[/tex] true is when the denominator equals 0, because anything divided by 0 is undefined. So, when you plug [tex]\sqrt{7}[/tex] for x in the denominator you get: [tex]\sqrt{7^{2} } -7[/tex]. The [tex]\sqrt{7^{2} }[/tex] part just turns into 7, and 7 - 7 is 0. So you don’t want x to equal [tex]\sqrt{7}[/tex].
So the answer is A: [tex]\frac{2x+1}{x^{2}-7}[/tex], [tex]x\neq[/tex] ± [tex]\sqrt{7}[/tex]
There you go my friend!
I hope you understand and that this helps with your question! :)