Answer:
[tex] \angle DEC [/tex]
Step-by-step explanation:
[tex] \red{\bold {\angle DEC}} [/tex] is supplementary to[tex] \angle DEA [/tex]
The cost of cloth is directly proportional to the length. A 3.2-metre length of cloth costs $38
Work out the cost of a 2.4-metre length of cloth.
Answer:
[tex]x = \$28.5[/tex]
Step-by-step explanation:
Given
Variation: Direct Proportion
[tex]3.2m = \$38[/tex]
Required
Determine the cost of 2.4m length
Represent the cost of 2.4m length with x
So, we have:
[tex]3.2m = \$38[/tex]
and
[tex]2.4m = x[/tex]
Cross Multiply:
[tex]3.2m * x = \$38 * 2.4m[/tex]
[tex]3.2 * x = \$38 * 2.4[/tex]
Solve for x
[tex]x = \frac{\$38 * 2.4}{3.2}[/tex]
[tex]x = \frac{\$91.2}{3.2}[/tex]
[tex]x = \$28.5[/tex]
Hence, the cost of 2.4m length is $28.5
All the questions are similar but I need help
2. Explain and correct the error made by a student who simplified this expression.
–2x + 7x + 8
(–2 + 7 + 8)x
13x
3. Explain and correct the error made by a student who simplified this expression.
–2 + 7(x + 8)
5(x + 8)
5x + 40
4. Explain and correct the error made by a student who simplified this expression.
–2x – 4x + 8y – y
(–2 – 4)x + (8 – 0)y
–6x + 8y
Answer:
Step-by-step explanation:
2) They distributed an x out of the term with out one. that is the 8
so the expression should be 5x +8
3) They didn't follow order of operations and took 2 away from the 7 before they distributed the 7 :O very bad of them
the expression should be 7x + 54
4) They distributed out the y but didn't leave a 1 so the problem lost a term.
the expression should be -6x + 7y
Find the difference.
8 - 16 =
Answer:
-8
Step-by-step explanation:
Answer:
-8
Step-by-step explanation:
factor out negative sign.
keep the sign of the number with the larger absolute value and subtract the smaller absolute value from the larger.
-(16-8)
then, subtract the numbers.
What is eight and two ninths subtracted by 2 and seven ninths
Answer:
5 4/9
Step-by-step explanation:
8 2/9 - 2 7/9
Converting the numbers from mixed Fraction :
(74/9 - 25/9)
L.C.M = 9
(74 - 25) / 9
= 49 / 9
= 5 4/9
BRO I NEED HELP THIS DUE IN 4 MINS!
Answer:
440 computers in warehouse B
Step-by-step explanation:
1030=A+B
A=b+150
replace the formula.
a=b+150
so replace the "a"+b=1030
so then it'd be b+150+b=1030
now that's easy.
2b+150=1030
-150 -150
2b=880
/2 /2
b=440
You are painting all four walls of a shed. Each wall is a rectangle with a length of 14 feet and a height of 8 feet. A gallon of paint covers about 350 square feet. How many gallons of paint do you need in order to cover the walls? Write your answer as a decimal.
about gallons
Answer:
1.28 gallons
Step-by-step explanation:
Multiply 14 and 8 then multiply that by 4 for each wall. Divide that number by 350 to get the number of gallons
brainliest please
What is the solution to the inequality x(x - 3) > 0?
OA) xs O and x > 3
OB) xs O or x3
OC) 0
OD) x<0 or x> 3
Answer:
D) x<0 or x>3
Step-by-step explanation:
x(x-3)>0
either x>0 and x-3>0 .... positive-positive=positive so x>3
or x<0 and x-3<0 ..... negative-negative=positive so x<0
if x=0 then x(x-3)=0
The solution to the inequality is x < 0 or x > 3
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
To solve the inequality x(x - 3) > 0, we can use a sign chart.
First, we can find the critical points of the inequality, which are the values of x that make the expression x(x - 3) equal to zero. These values are x = 0 and x = 3.
Then, we can create a sign chart with these critical points and test intervals between them to determine the sign of the expression x(x - 3) in each interval.
Interval Test Value x(x - 3)
x < 0 -1 Positive
0 < x < 3 1 Negative
x > 3 4 Positive
From the sign chart, we see that x(x - 3) is positive when x < 0 and when x > 3, and negative when 0 < x < 3.
Hence , the solution to the inequality x(x - 3) > 0 is x < 0 or x > 3
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The cost of 5 cans of dog food is 4.35. At this price how much do 11 cans of dog food cost? Explain!
Answer:
Ok so it would be 9.57
Step-by-step explanation:
4.35÷5 = 0.87
so 1 can is 0.87
$0.87*11=$ 9.57
please help me out! determine the range of the following graph
Answer:
[-9,-4]
Step-by-step explanation:
The highest and lowest points this graph gets to on the y axis are -4 and -9 respectively.
This means the range is [-9,-4].
Brackets are used since -9 and -4 are seemingly included.
Help how do I do this?
Answer:
THE ANSWER IS 9
bc you will distribute 2x+16-2 18÷2 =9
one third of a land is on maize, a fifth of the remainder is on potatoes and the rest which is 0.5 ha is on beans. how much of the land is on potatoes?
Answer: [tex]1250\ m^2[/tex]
Step-by-step explanation:
Let x= Total land.
Then for Maize = [tex]\dfrac{x}{3}[/tex]
For Potatoes = [tex]\dfrac15(x-\dfrac {x}{3})=\dfrac15(\dfrac{2x}{3})=\dfrac{2}{15}x[/tex]
For beans = [tex]x- (\dfrac{x}{3}+\dfrac{2}{15}x)=0.5 \ ha[/tex]
[tex]\Rightarrow\ x- (\dfrac{5x+2x}{15})=0.5 \ ha\\\\\Rightarrow\ x- (\dfrac{7x}{15})=0.5 \ ha\\\\\Rightarrow\ \dfrac{15x-7x}{15}=0.5 \ ha\\\\\Rightarrow\ \dfrac{8x}{15}=0.5 \ ha\\\\\Rightarrow\ x=0.5\times\dfrac{15}{8} \ ha\\\\\Rightarrow\ x=0.9375 \ ha[/tex]
1 ha = 10000.00 m²
0.9375 ha = 9375 m²
Land for potatoes = [tex]\dfrac{2}{15}(9375) =1250\ m^2[/tex]
Hence, [tex]1250\ m^2[/tex] of the land is on potatoes.
What is 40% of 500? Please help!!
Answer:
40/100 times 500=200
Step-by-step explanation:
Determine what regions make up the given probabilities - shade the Venn Diagram,
Assuming that any skirt can be paired with any blouse, in how
many ways can Anna select her outfit? List the possibilities.
Find the relation and solve the answers. Options are given below.
Answer:
The correct option is;
A. 453
Step-by-step explanation:
The given numbers are not related by factors, because the factors of 779 are 1, 19, 41, and 779
Similarly the factors of 926 are 1, 2, 463, 926
Therefore, the numbers are related by direct association of each digit of the central number to each of the three numbers on the vertices of the triangle as follows;
For the first triangle, we have the numbers at the vertices are; at the top, 14, at the bottom left is 21, and at the bottom right is 36, we have;
Top number divided by 2 gives 14/2 [tex]{}[/tex] = 7
Bottom left number divided by 3 gives 21/3 [tex]{}[/tex] = 7
Bottom right number divided by 4 gives 36/4 = 9
From which we have the number at the center which is 779
Similarly, for the second triangle, we have the numbers at the vertices are; at the top, 18, at the bottom left is 6, and at the bottom right is 24, we have;
Top number divided by 2 gives 18/2 [tex]{}[/tex] = 9
Bottom left number divided by 3 gives 6/3 [tex]{}[/tex] = 2
Bottom right number divided by 4 gives 24/4 = 6
From which we have the number at the center which is 962
Therefore, when we have, the numbers at the vertices as follows;
At the top, 8, at the bottom left is 15, and at the bottom right is 12, we have;
Top number divided by 2 gives 8/2 [tex]{}[/tex] = 4
Bottom left number divided by 3 gives 15/3 [tex]{}[/tex] = 5
Bottom right number divided by 4 gives 12/4 = 3
From which we have the number at the center is 453.
Tim incorrectly says
that the solution of the system of equations is
x= -9, y= -4.
System of equations:
6x - 2y = -6
11 = y - 5x
a. What is the correct solution?
b. What error might Tim have made?
Answer:
a)First, solve and regroup
11=y-5x
y=11+5x.
Plug in:
6x-2(5x+11)=-6
6x-10x-22=-6
-4x-22=-6.
-4x=16
x=-4.
Plug it:
y=11+5(-4)
y=11-20
y=-9.
x,y=-4,-9.
b) The error Tim made is that he confused the x and y.
The correct answer is -4,-9.
He said it was -9,-4.
Hope this helps plz hit the crown ;D
The correct solution is -4,-9 time might have changed x coordinate with y-coordinate
What is a linear equation?
A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.
6x-2y = -6...1
11= y-5x...2
(a) Rearranging the 2 equation;
11=y-5x
y=11+5x.
substituting in first equation;
6x-2(5x+11)=-6
6x-10x-22=-6
-4x-22=-6.
-4x=16
x=-4.
Now putting the value of x in second equation;
y=11+5(-4)
y=11-20
y=-9.
x,y=-4,-9.
(b) The error Tim made is; he confused the x and y.
The correct answer will be -4,-9.
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30 points each answer Math
After being rearranged and simplified, which of the following equations could be solved using the quadratic formula? Check all that apply.
Choices are in picture. Please only real answers.
Answer:
B and D (another answer but not sure about the other one)
Answer: A and B
Step-by-step explanation: I just did it
The graph of a linear system is shown.
y
5
7-6-5-4-3-2-1,
2 3 4 5 6 7 8
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
(-1, 7)
Step-by-step explanation:
From the graph attached,
There are two lines representing the system of linear equations.
Solution of two linear equations is represented by a common point or point of intersection on the graph.
Point of intersection of the linear system of equations given in the graph → (-1, 7)
Therefore, solution of the linear system is (-1, 7).
At a six grade graduation celebration there are 80 students and 40 parents.What fraction of the ratio of students to the total number of people at the graduation
Answer:
2/3
Step-by-step explanation:
Given that:
Number of students = 80
Number of parents = 40
fraction of the ratio of students to the total number of people at the graduation
Total number of people at graduation =. (number of students + number of parents)
80 + 40 = 120
Number of students : total people
80 : 120
80/120 = 8/12 = 2/3
how to solve using Substitution or Elimination??? Help!!!
y=3x-1
y=2x+2
Answer:
x=3
y=8
Step-by-step explanation:
the given equations are y=3x-1 --------(1)
and y=2x+2---------(2)
Using substitution method,
and solving y=3x-1
y+1=3x
or y+1/3 =x ------(3)
Putting the value of x= y + 1 / 3 in equation 2
y= 2x+2
or, y = 2 ( y + 1/3) +2
or, y= 2y + 2 / 3 +2
or, y = 2y + 2 + 6 // 3 ( Taking LCM)
Or, 3 y = 2y + 2 + 6 ( the denominator gets multiplied to y)
OR, 3 Y - 2Y =6 PLUS 2
or y = 8
therefore, y=8
now substituting the value of y=8 in equation (3)
y + 1 /3 = x
or ,,, 8 plus 1 by 3 =x
or,,,,, 9 by 3 =x
Therefore, x is 3
Which is the solution of the quadratic equation (4y - 3)2 = 72?
( O
A y= 3 +677 and y = 3-6v2
€
D y = 3 +672 and y =
-3-6√
4
O y= 92 and y= -312
4
4
O y = 9/7 and y = 32
Answer: 2 one number 2
Step-by-step explanation:
It's is number 2
The required solution of the quadratic equation (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.
What is simplification?
Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression.
Here,
Given expression, (4y - 3)² = 72
Simplifying the above expression:
(4y - 3)² = 72
4y - 3 = ±√72
4y - 3 = ±6√2
y = 3 ± 6√2/4
Thus, the required solution of the quadratic equation (4y - 3)² = 72 is y = 3 ± 6√2/4. Option A is correct.
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Triangle GHI with vertices G(4, 1), H(5, -4), and I(2, -8) REFLECTED over the line y = x.
Answer:
[tex]G' = (1,4)[/tex]
[tex]H' = (-4,5)[/tex]
[tex]I = (-8,2)[/tex]
Step-by-step explanation:
Given
[tex]G = (4,1)[/tex]
[tex]H = (5,-4)[/tex]
[tex]I = (2,-8)[/tex]
Reflection: [tex]y = x[/tex]
Required
Determine the coordinates of G'H'I'
The following applies when a line A is reflected over [tex]y = x[/tex]
[tex]A = (x,y)[/tex]
[tex]A' = (y,x)[/tex]
i.e, we simply swap the positions of x and y
So, for:
[tex]G = (4,1)[/tex]
[tex]H = (5,-4)[/tex]
[tex]I = (2,-8)[/tex]
The reflections are:
[tex]G' = (1,4)[/tex]
[tex]H' = (-4,5)[/tex]
[tex]I = (-8,2)[/tex]
See attachment
Is -8 a solution to the equation 8x +2=3x + 13
Answer:
No.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
8x + 2 = 3x + 13
Step 2: Solve for x
Subtract 3x on both sides: 5x + 2 = 13Subtract 2 on both sides: 5x = 11Divide 5 on both sides: x = 11/52x + 2y = 350
What is X and Y?
What is sin 28°?
I need help ASAP
Answer:
sin 28° = 8/17
Step-by-step explanation:
sin A = opp/hyp
sin 28° = 8/17
The value of sin 28° is: sin 28° = 8/17
So, Option B is correct.
Here, given that, a right angle triangle has hypotenuse = 17 units,
height = 8 units,
base = 15 units.
now, we have, the angle between hypotenuse and base is: sin 28°.
from trigonometry we know that,
sin A = opp/hyp
so, here, we get, sin 28° = height/hypotenuse
putting the values, we have,
sin 28° = 8/17
Hence, The value of sin 28° is: sin 28° = 8/17
So, Option B is correct.
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will give brainly
show work
23-5•4-2(6-1)
Answer:-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
so you have to do PEMDAS
first parenthesis 6-1 is 5
then multiplication 5x4 is 20
the subtraction 23-20-2(5)
2x5=10
23-20=3
3-10=-7
There are 240 children at summer camp. They will travel by bus on a field trip. Each bus will hold a total of 50 students.
What is the minimum number of buses they will need?
The table represents a Linear function, what is the slope of the function?
Answer:
m = 3
Step-by-step explanation:
Pick two points from the table.
(-1, 1) and (1, 7)
Apply the slope formula.
[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]
Hope this helps.
Lena makes home deliveries of groceries for a supermarket. Her only stops after she leaves the supermarket are at traffic lights and the homes where she makes the deliveries. The graph shows her distance from the store on her first trip of the day.
Give the domain of the function and relate the domain to the relationship described
andrew needs to call his 8 baseball teammates to make plans for a party at the end of the season if each call takes 5 minutes how much time will he spend making the calls?
A. 1/3 hour
B.40/100 hour
C.2/3 hour
D.3/4 hour
Answer:
C
Step-by-step explanation:
8*5=40 minutes
There is a total of 60 minutes.
So:
40/60 = 4/6 = 2/3