Answer:
X=6
Step-by-step explanation:
First distribute
ie: 4x-2x+8=-8+4x+4
Next combine like terms
ie: 2x+8=-4+4x
Next subtract 2x from each side and add 4 to each side
ie: 12=2x
Then divide 2 from each side to get x alone
ie: 6=x
Solve simultaneous equation
2x-y=7
x*2+y*2=49
(x, y) = (0, -7) and ((28/5 , 21/5)) , as found by solving the system of linear equations.
What is a system of linear equations?
A system of linear equations is a set of two or more linear equations. Linear equations refer to the equations that involve two or more variables in the form of "ax + b".
Given: 2x - y = 7x² + y² = 49
to find: Values of x and y.
Finding:
Solving the system of two linear equations, by deriving the value of one variable from an equation and substituting it in the other equation and solving for the two variables.
eqn1 2x - y = 7
y = 2x - 7
eqn2 x² + y² = 49O
substituting the value of y from eqn1,
we get: x² + (2x - 7)² = 49
x² + 4x² + 49 - 28x = 49
5x² -28x = 0
x ( 5x - 28) = 0
x = 0, x = 28/5
For x = 0, y = -7 (in eqn1)=>
(x, y) = (0, 7)
For x = 28/5
y = 2(28/5) - 7
= (56 - 35) / 5
= 21 / 5
(x,y) = (28/5 , 21/5)
Hence, (x, y) = (0, -7) and (28/5 , 21/5), as found by solving the system of linear equations.
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In January,the depth of a lake was 1,098 feet. In august, the depth of the lake was 988.2 feet. What is the percentage decrease of the depth of the lake from January to august
Answer:
=1,098+988.2
=2086.2
the percentage is 2086.2
Does 82.45 round up to 83?
Answer:no it does not
Step-by-step explanation:
In order for it to round up it would have to be 82.5 or higher.
Answer:
No. To round up to 83 the number has to be 82.5 or higher.
can someone help me pls?
Answer:
Step-by-step explanation:
64
because the small triangle at the top is isoscel and has the base angles BDE and BED = (180 -48)/2 =66
angle BDE is congruent to DAC = 66, because 2 || BE and AC are cut by transversal BA
angle ADC = 180 -50 -66 = 64
Mrs. Haley had 5/7 of a liter of salt water. She used 1/2 of a liter for an experiment. How much salt water does Mrs. Haley have left?
Mrs. Haley had
liters of salt water left.
Answer:
3/14 of a liter of salt
Step-by-step explanation:
Step one:
given
tot amount of salt= 5/7 of a liter of salt
that is 1*5/7= 5/7 liters
She used 1/2 of a liter for an experiment
Required:
the remaining amount of salt
Step two:
we are going to subtract the salt used for the experiment from the total
= 5/7-1/2
= 10-7/14
= 3/14
The remainder is 3/14 of a liter of salt
Find the measure of the missing angle.
a
120⁰
60⁰
Step-by-step explanation:
a+120⁰=180⁰(being linear pairs)
or, a=180⁰-120⁰
or, a=60⁰ Answer.
What type of experimental design did Betty use?
Betty wants to bake the perfect cookie. She wants to
determine the ideal temperature at which to bake the
cookies. She has enough batter to make 60 cookies. She
decides to randomly assign 15 cookies to be baked at
300º, 15 at 325°, 15 at 350°, and 15 at 375°. The baking
time for each batch is 12 minutes.
* matched pairs experimental design
O completely randomized experimental design
randomized block experimental design
none (observational study only)
Answer:
C.) completely randomized experimental design
Step-by-step explanation:
Edge 2020
The experimental design used by Betty is completely randomized experimental design. Hence, option A is correct.
What is an experiment?A process used to confirm or deny a theory, as well as assess the effectiveness or possibility of something that has never been performed before, is called an investigation.
By showing what happens when a particular element is modified, experiments shed light on causation relationships. Experiments have a wide range of objectives and sizes, but always depend on a repeatable process and a logical examination of the outcomes. Additionally, there are experiments conducted in nature.
As Betty is wants to bake a perfect cookie, and she has enough batter. She is testing to bake the batter at different temperatures to see that what is the ideal temperature to make perfect cookies. So, this is completely randomized experimental design.
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Determine the shade for the following:
y< 3x-2
Your answer:
O Above
O Below
When it's the > or ≥ sign, the shade/region will be above the graph.
When it's the < or ≤ sign, the shade/region will be below the graph.
Thus, the answer is below.
How do you divide and Multiply?
Answer:
you know how to
Step-by-step explanation:
The sum of a three digit number and a one digit number is 731 the product of the number is 2908 what are the numbers
The one digit number is 4 and three digit number is 727.
Let us consider the one digit number be a and three digit number be b. Given that their sum is equal to 731.
a + b = 731 : equation 1
Also, their product is equal to 2908.
a × b = 2908 : equation 2
Now, from equation 1, the value of b is
b = 731 - a : equation 3
Putting the value of b in equation 2, we get
a (731 - a) = 2908
731a - a² = 2908
a² - 731a + 2908 = a
Using middle term splitting, the equation can be written as
a² - 727a - 4a + 2908 = 0
a(a - 727) - 4(a - 727) = 0
a - 4 = 0 and a - 727 = 0
a = 4, 727
Now, putting the value of a in equation 3, we get
b = 731 - 4 and 731 - 727
b = 727, 4
Thus, the one digit number is 4 and three digit number is 727.
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(X+4+1)(x+4)=(11+x+1)(x+1) solve for x
Answer:
x= 2
Step-by-step explanation:
so you add the values given in the brackets and leave X as it is (do this on both sides of the equation.
1. (x + 5)(x+4)= (x+12)(x+1)
2. multiply the parenthesis on both sides or one at a time
so, [tex]x^{2}[/tex]+5x+4x+20 = [tex]x^{2}[/tex]+12+1x+12
3. cancel like terms which we have [tex]x^{2}[/tex] so remove that.
5x+4x+20=12+1x+12
4. collect like terms.
9x + 20 = 13x + 12
5. move like terms.
9x-13x=12-20 = -4 = -8
6. x= [tex]\frac{-4}{-8}[/tex] divide both sides by 4 or basically simplify 4 divided by 8
which leaves u with
x= 2
hope this helps x, let me know if u have any questions. photomath is an app that helps too.
Whats the answer for number 12?
y = 2/3x - 1
It will be Option 2.
What is an expression equivalent to -4(-6m - 7)
Answer: 24m+28
Step-by-step explanation:
you would distribute the -4 threw eveything
so it would be 24m+28
A sporting goods company produces figure skates and hockey skates. One group of workers makes the blades for both types of skates. Another group makes the boots for both types of skates. It takes 2 hours to make the blade of a figure skate. It takes 3 hours to make the blade of a hockey skate. There is a maximum of 40 hours per week in which the blades can be made for both types of skates. It takes 3 hours to make the boot of a figure skate. It takes 1 hour to make the boot for a hockey skate. There is a maximum of 20 hours per week in which boots can be made for both types of skates. What is the system of inequalities that represents this situation?
Consider the matrices
Answer:
Step-by-step explanation:
S = [tex]\left[\begin{array}{cc}4&1\\-1&-2\end{array}\right][/tex]
T = [tex]\left[\begin{array}{cc}-5&0\\-4&3\end{array}\right][/tex]
ST = [tex]\left[\begin{array}{cc}4&1\\-1&-2\end{array}\right][/tex] × [tex]\left[\begin{array}{cc}-5&0\\-4&3\end{array}\right][/tex] = [tex]\left[\begin{array}{cc}14(-5)+1(-4)&(4)0+1(3)\\(-1)(-5)+(-2)(-4)&(-1)0+(-2)(3)\end{array}\right][/tex] =
= [tex]\left[\begin{array}{cc}-24&3\\13&-6\end{array}\right][/tex]
TS = [tex]\left[\begin{array}{cc}-5&0\\-4&3\end{array}\right][/tex] × [tex]\left[\begin{array}{cc}4&1\\-1&-2\end{array}\right][/tex] = [tex]\left[\begin{array}{cc}(-5)(4)+(0)(-1)&(-5)(1)+(0)(-2)\\(-4)(4)+3(-1)&(-4)(1)+(3)(-2)\end{array}\right][/tex] =
= [tex]\left[\begin{array}{cc}-20&-5\\-19&-10\end{array}\right][/tex]
ST ≠ TS
A machine produces 42 parts in 7 minutes. How many parts will it produce in 1.5 hours?
You answer is going to be: 540
When solving a system of linear equations, when would you want to solve by graphing? When would you want to solve by substitution? When would you want to solve by elimination? Your answer should be at least three complete sentences.
4(3n-2)=what and explain by righting out. each step
Answer:
12n - 8
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyStep-by-step explanation:
Step 1: Define Expression
4(3n - 2)
Step 2: Expand
Distribute 4: 4(3n) - 4(2)Multiply: 12n - 8Answer:
4(3n-2)
=> 12n-8
=> 12n=8
=> n=8/12
=> n= 2/3
help with #23 pleaseee
Answer:
53 degrees
angle DCE is congruent to angle DAE.
Solve the following simultaneous equations 2x+5y=0 and 3x-4y=23
Answer:
x = 5, y = -2
Step-by-step explanation:
2x + 5y = 0 --- Equation 1
Equation 1×3: 6x + 15y = 0 --- Equation 2
3x - 4y = 23 --- Equation 3
Equation 3×2: 6x - 8y = 46 --- Equation 3
We will be eliminating 6x from Equation 2.
Equation 3-2: 6x - 8y - 6x - 15y = 46-0
-23y = 46
y = 46 ÷ -23
y = -2
Substitute y = -2 into Equation 1:
2x + 5y = 0
2x + 5(-2) = 0
2x + (-10) = 0
2x - 10 = 0
2x = 10
x = 10 ÷ 2
x = 5
find the distance between (-5,7) and ( -5,-4)
Answer:
11
Step-by-step explanation:
SInce the x vales are the same, you just have to look at the y values. 7 is how much from -4? So do 7-(-4)
Answer: 11
Hope this helps :)
The surface area of a rectangular prism is 250 cm 2. If its height is 10 centimeters, and its width is 5 centimeters, what is its volume?
A.500 cm3
B.150 cm 3
C.200 cm3
D.250 cm 3
Please help
Answer:
D.
Step-by-step explanation:
It cost $3 to rent bowling shoes. Each game costs 2.50 you have 15.50. How many games can you bowl
Answer:
2 games
Step-by-step explanation:
you broke tho:)
HELPPP find the value of x !!!
given: 3 − 2(x + 4) = 13 prove: x = −9
Answer:
I hope this helps:))
Step-by-step explanation:
Kay is making beaded belts for her friends from 6.5 meters of cord. One belt uses 0.625 meter of cord. How many belts can she make? Show your work.
Answer:
10 belts
Step-by-step explanation:
6.5 meters of cord / 0.625 meters per belt = 10.4 belts
Because 0.4 meters of cord is not enough for a belt, the answer is 10.
What is the surface area of the cylinder with height 4m and radius 2m? Round your answer to the nearest thousandth.
Answer:
50.265m^3
Step-by-step explanation:
because the formula for solving this problem is πr^2•height and then to finish solving it would have to be put into cubed as it's 3d
18-{3+(6-7)} help meee
Solution :
>> 18 - {3 + (6 - 7)}
>> 18 - {3 + (-1) }
>> 18 - {3 - 1}
>> 18 - {2}
>> 18 - 2
>> 16
Given-:
18-{3+(6-7)}
By Using -:
BODMAS rule
Let's Begin -:18-{3+(6-7)}
According to bodmas rule
18-{3+(6-7)}
→ 18 - { 3 - 1 }
removing Parentheses
= 18 - 2
remove brace
= 16
__________________2.
Which expression is equivalent to *x+(-3)+(-2) -
2
OA. =X-
-1
ОВ.
EX-5
5
OC.
-
-
5x-5
OD. 2x + 5
Answer:
1
Step-by-step explanation:
An expression contains variables which can be represented by using the alphabets like a, b, c, m, x, y, z, etc. We can form different expressions using various numbers and variables. The expression equivalent to x+(-3)+(-2) - 2 is x-7 = 0. The correct option is B.
What is an expression?An expression or also called the algebraic expression is defined as the mathematical statement which contains numbers, variables and an arithmetic operation between them.
In order to factorize or simplify the expression, we should know how to combine the like terms, factor a number, order of operations. The given equation can be simplified as:
x + (-5) -2 = 0
x - 7 = 0
Thus the correct option is B.
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Your question is incomplete most probably your full question was;
Which expression is equivalent to x+(-3)+(-2) - 2
A. x-3 = 0
B. x - 7 = 0
C. x - 4 = 0
D. x- 3 = 0
Help meh by monday! Pls...before 8:40
Answer:
567
Step-by-step explanation:
rghjbvcdfghjk
Answer:
567
Step-by-step explanation:
five hundred and sixty seven