Solve 2 s 2x + 4 < 10 for x.
Answer:
x=2
Step-by-step explanation:
2x2 =4
4+4=8
8<10
Use elimination to solve the system of equations. 2x+y=4 and -4x-2y=8
Answer: No solution
Step-by-step explanation:
To use elimination method, we need to choose a variable to eliminate. Let's eliminate x. To eliminate x, the x coefficient in both equations must be the same, regardless of the sign. To do so, let's multiply the first equation by 2.
(2x+y=4)2
-4x-2y=8
-------------------------------------------------------------------------------------------------------------
4x+2y=8
-4x-2y=8
Let's add both equations together.
0=8
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Now that we got this far, we can see that something is wrong. This normally doesn't happen. If you notice, the second equation is the first equation but multiplied by 2. Instead, let's rewrite each equation.
2x+y=4 [subtract both sides by 2x]
y=-2x+4
-4x-2y=8 [add both sides by 4x]
-2y=4x+8 [divide both sides by -2]
y=-2x-4
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If you analyze both equations, you will see that they are parallel lines. We know this because the slopes are the same, but different y-intercept. from our knowledge of parallel lines, they NEVER touch or cross. This means there would be no solution at all.
The candle maker makes a total of 454545 orange candles. This is 30\%30%30, percent of all the candles she made this week. How many candles did the candle maker make this week?
Answer:
150 candles
Step-by-step explanation:
Use elimination to solve and match each system of equations to the correct solution
9x+4y=-72
2x-3y=-16
Answer:
Step-by-step explanation:
27x + 12y = -216
8x - 12y = -64
35x = -280
x= -8
2(-8) - 3y = -16
-16 - 3y = -16
-3y = 0
y = 0
(-8, 0)
A notebook costs $2.39 at Walmart. If the tax rate is 7%, what is the total cost at the register?
74°F, 65°F, 71°F, 65°F. 68°F, 78°F, 72°F. 67°F
What is the mean absolute deviation of this data set?
Answer:
3.75jgfbvuekdfb
Step-by-step explanation:
A sequence starts 1/2,1/4,1/8 follow your to write the next 3 terms in the sequence
Answer:
1/16, 1/32, and 1/64
Step-by-step explanation:
The denominator is multiplying by 2 while the numerator stays the same.
Shania is making an apricot drink for her 4 friends and needs 1/9 of a gallon of water to make the apricot drink. How much of the gallon of water will be in each of the 4 drinks?
answer:
4/9ths of a gallon
step-by-step explanation:
1/9×4 .change whole number to fraction: 1/9×4/1. multiply the numerators and the denominators together. 1×4 and 9×1. 1×4=4 and 9×1=9 so the answer is 4/9
Solve for n. 11(n – 1) + 35 = 3n
11n - 11 + 35 = 3n
8n = - 24
n = - 3
Answer:
n = -3Step-by-step explanation:
Simplifying
11(n + -1) + 35 = 3n
Reorder the terms:
11(-1 + n) + 35 = 3n
(-1 * 11 + n * 11) + 35 = 3n
(-11 + 11n) + 35 = 3n
Reorder the terms:
-11 + 35 + 11n = 3n
Combine like terms: -11 + 35 = 24
24 + 11n = 3n
Solving
24 + 11n = 3n
Solving for variable 'n'.
Move all terms containing n to the left, all other terms to the right.
Add '-3n' to each side of the equation.
24 + 11n + -3n = 3n + -3n
Combine like terms: 11n + -3n = 8n
24 + 8n = 3n + -3n
Combine like terms: 3n + -3n = 0
24 + 8n = 0
Add '-24' to each side of the equation.
24 + -24 + 8n = 0 + -24
Combine like terms: 24 + -24 = 0
0 + 8n = 0 + -24
8n = 0 + -24
Combine like terms: 0 + -24 = -24
8n = -24
Divide each side by '8'.
n = -3
Simplifying
n = -3
A map scale shows that 3 km = 2 cm. How many cm would represent 15 km on the map?
cm
Answer:
3 = 2
15 = 10
10 cm
Step-by-step explanation:
ummmm whats (40 + 215 -77) x 9÷ 3 - 20 = ?
There are 12p calories in a 3/4 cup serving of cereal. How many Calories are there in 6 cups of cereal?
Answer:
960 calories in 6 cups of cereal
Step-by-step explanation:
Answer:96
Step-by-step explanation:
16 is in the 4/4 and 16 x 6 is 96
what is the product of 3.5 and 1.82
Answer:
6.37
Step-by-step explanation:
Product means multiply.
3.5x1.82=6.37
The product of 3.5 and 1.82 is 6.37 after using the concept of arithmetic operation the answer is 6.37.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
The product of 3.5 and 1.82
To calculate the product of 3.5 and 1.82:
We have:
Product of the numbers 3.5 and 1.82
= 3.5 ×1.8 (this represents a number expression)
The expression can define as the combination of constants and variables with mathematical operators.
Product of the numbers 3.5 and 1.82 = 6.37.
Thus, the product of 3.5 and 1.82 is 6.37 after using the concept of arithmetic operation the answer is 6.37.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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if I am 9 years old how old will i be in 29 years
Answer:
YOU will be 38 yrs old, but I will be 29 years older than my 29 year-younger self
Step-by-step explanation:
Answer:
you would be 38
Step-by-step explanation:
29 plus 9 equals 38
Which of the following numbers is irrational?
72
국
4
3
3, 5, VA
O?
0 3
O A
a 6 pack of pepsi cost 3.59 how much for one soda
Answer:
.60
Step-by-step explanation:
Answer:
.598 rounds up to .60 a can
Step-by-step explanation:
3.59/6= .598 which rounds up to about .60 a can
If an angle of a parallelogram is two-third of
its adjacent angle, the smallest angle of the
parallelogram is
(a) 54°
(b) 72°
(c) 81°
(d) 108°
Answer:
We know that in a parallelogram two opposite angles are equal -
[tex] \\ \implies \sf \: 2x + 2y = 360 {}^{ \circ} \\ \\ \\ \implies \sf \: x + y = 180 {}^{ \circ} \qquad \quad \: (i) \\ [/tex]
Given -
angle x is equal to the two - third of it's adjacent angle y.[tex] \\ \implies \sf \: x = \frac{2}{3} y \\ \\ \\ \implies \sf \frac{x}{2} = \frac{y}{3} = k \\ \\ \\ \qquad \sf \small \underline{ x = 2k \: \: \& \: \: y = 3k} \\ [/tex]
Now, by using equation (1) :
[tex] \\ \implies \sf \: 2k + 3k = 180 \\ \\ \\ \implies \sf \: 5k = 180 \\ \\ \\ \implies \sf \: k = \frac{180}{5} \\ \\ \\ \large{ \boxed{ \sf{k = {36}^{ \circ} }}} \\ [/tex]
Now, by putting the value of k in x and y.
x = 2k = 2 × 36 = 72° y = 3k = 3 × 36 = 108°Therefore, the right option and smallest angle is b) 72°.
The product of a number and 7 decreased by 2
Answer:
(x× 7) -2
Step-by-step explanation:
(x× 7) -2
product of # = x
and 7 means to multiply
decreased by two means -2
Answer:
the product of a number and seven decreased by two is 7x-2
Step-by-step explanation:
a "product" is the answer to a multiplication problem. instead of writing a multiplication symbol (x) we can simply put the variable next to the number it is being multiplied to. (7x) so, a number (which can be written as any letter, since we don't know the exact number- it's a variable.) 7x decreased by 2 means subtracting. so, we get 7x-2.
hope this helps! best of luck <3
Balloon A is released 5 feet above the ground. Balloon B is released at ground level. Both balloons rise at a constant rate. Which situation can you represent using an equation of the form y = kx? Explain.
Answer:
The situation of balloon B
Step-by-step explanation:
Balloon A is released 5 feet above the ground and our ground level be 0 feet. Let k be the rate at which it rises and t the time it takes to rise. Its height y, above the ground after time x is y = kt + 5
For Balloon B since it is released at ground level at which ground level is taken as 0 feet, let t be the time it takes to rise above the ground and k the rate at which it rises above the ground. Its height y above the ground after tie x is y = kt
Since the expression for Balloon B is y = kt and the expression for Balloon A is y = kt + 5, only the situation of Balloon B can be expressed in the form y = kx.
This is because the rate of rise of Balloon B follows a direct proportionality while the rate of rise of Balloon follow a joint proportionality since it starts from a point other than ground level.
Read each problem carefully and solve.
19. Ellie built 6/10 of a fort on Saturday and the rest on Sunday. How much of the fort did Ellie build on Sunday?
A. 1/100
B. 4/100
C. 60/100
D. 40/100
Please help!! 2/3x-7=x
Answer:
-21
Step-by-step explanation:
Answer:
i know its already been answered but yes, it is -21
Step-by-step explanation:
hope it helps, can anyone look at my most recent question? i'll appreciate it
in this diagram, AB and CD are Parallel. Angle ABC measure 35 and Angle BAC measure 115, what is the angle of ACE.
Answer:
180°
Step-by-step explanation:
I think this is the answer
because the line is straight from the point ACE
see
Give 3 expressions equivalent to the expression 24x+60
Solve:
3(x - 2) = 18
Answer:
Standard form:
3x − 24 = 0
Factorization:
3(x − 8) = 0
Solutions:
x = 24
3
= 8
Step-by-step explanation:
Hope this helps? :))
[tex]\large\tt Step-by-step~explanation:[/tex]
To solve for x, we have to isolate the variable.
[tex]\tt Step~1:[/tex]
First, we distribute 3 to (x - 2) because when there are parentheses with terms inside it next to another term, then we have to multiply them together.
[tex]\tt 3*x=3x\\3*-2=-6\\3x-6=18[/tex]
[tex]\tt Step~2:[/tex]
Next, we add six on the left side of the equation to cancel out - 6. We also add 6 to the right, because we have to do whatever we do on both sides of the equation.
[tex]\tt 3x-6(+6)=18(+6)\\3x=24[/tex]
[tex]\tt Step~3:[/tex]
Finally, we divide both sides by 3 to isolate x and get our answer.
[tex]\tt \frac{3x}{3}=x\\\frac{24}{3}=8\\x=8[/tex]
[tex]\large\boxed{\tt Our~final~answer: ~x=8}[/tex]
Which real-world scenario can be described using the algebraic expression c/4?
Answer:
Baking c cookies and dividing them evenly among 4 friends.
Step-by-step explanation:
find the midpoint of a line segment with the given endpoints.(8,-3) (-8,1)
Answer:
(0,-1)
Step-by-step explanation:
A plumber charges $65 per hour to fix a leak. What is an equation that relates to the total cost of a leak repair c to the number of hours h it takes the plumber to fix the leak?
Answer:
The equation is C = 65h
If the multiplication expression below were written in exponential form, what
would the exponent be?
14 x 14 x 14 x 14 x 14
Answer:
14 x 14 x 14 x 14 x 14 = [tex]14^5\\[/tex]
Step-by-step explanation:
2x-5<5x-3x Please Help Me!!!
Step-by-step explanation:
Check the above photos
0.75a=-9 Please show workkkkk
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{a = - 12}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \sf{ \: \: 0.75a = - 9}}[/tex]
Divide both sides by 0.75 . Thenafter, Calculate it
[tex] \hookrightarrow{ \sf{ \frac{0.75a}{a} = \frac{ - 9}{0.75}}} [/tex]
[tex] \hookrightarrow{ \boxed{ \sf{a = - 12}}}[/tex]
The value of a is -12
Hope I helped!
Best regards!
~ TheAnimeGirl