To find the expression for the cost of low-energy lamps and high-energy lamps, use the expressions 4A and 5B respectively. To find the values of A and B that make the total cost equal $120, solve the equation 4A + 5B = 120.
Explanation:To write an expression for how much the electrician spends on low-energy lamps and high-energy lamps, we can use the following expressions:
Cost of low-energy lamps: 4A
Cost of high-energy lamps: 5B
To complete the table, we need to calculate the values of A and B such that the total cost equals $120. Since all of the $120 is spent, the expression for the total cost would be:
Total cost: 4A + 5B = 120
We can solve this equation to find the values of A and B.
I need a explanation.
Answer:
For #5, there are no solutions because when you solve 3(-2x+y)=12, you get y=2x +4. It has the same slope with the first equation but a different y-intercept meaning that they are parallel lines and won’t intersect
Step-by-step explanation:
find the circumstances of a circle that has an area of 452.16 square feet
a) 37.6992 meters
b) 24 meters
c) 75.3984 meters
d) 12 meters
Which statement is true
Answer:
Step-by-step explanation
You must find the common denominator for all of them.
A is correct. 13 x 2 is 26 and 14 x 2 is 28. Therefore, 13/14 is greater than 25/28.
B is not correct. 4 x 5 is 20 and 9 x 5 is 45. 4/9 is actually less than 21/45.
C is not correct. 5 x 2 is 10 and 6 x 2 is 12. 5/6 is actually less than 11/12.
D is not correct. 4 x 5 is 20 and 5 x 5 is 25. 4/5 is actually less than 8/25.
For the sequence -27, -12, 3, 18, ..., the expression that defines the nth term where a1 = -27 is
A. 15 --27n
B. 15-27 (n-1)
C. -27 + 15n
D. -27+15 (N-1)
Answer:
D. -27+15 (N-1)
Step-by-step explanation:
-27, -12, 3, 18
Take the second term and subtract the first term to find the common difference
-12 - (-27)
-12+27 = 15
The common difference is +15
We are adding 15 each time
The formula for an arithmetic sequence is
an = a1+d(n-1)
an = -27 +15(n-1)
The correct nth-term expression for the given sequence is -27 + 15(n - 1), reflecting the sequence's consistent increase of 15 between terms. So the correct option is D.
Explanation:The student's question asks for the expression that defines the nth term of the sequence -27, -12, 3, 18, ... given that a1 = -27. Observing the sequence, we can see that each term increases by 15 from the preceding term. Thus, to find the nth term, we start with the first term (-27) and add 15 to it n times (n - 1), because the first term is already included.
The correct expression for the nth term is therefore -27 + 15(n - 1), which simplifies to -27 + 15n - 15 and further simplifies to -42 + 15n. This corresponds to option D: -27 + 15 (n - 1).
The ages of three brothers are consecutive even integers. Five times the age of the youngest brother exceeds the oldest brother's age by 60 years. The equation 5x − (x + 4) = 60 models the age, x, of the youngest brother. What is the age of the oldest brother?
A) 16
B) 20
C) 24
D) 28
Answer:
The oldest brother is 20 years old. PLEASE GIVE BRAINLIEST!!!
Step-by-step explanation:
Youngest = 5x - (x+4) = 60 Oldest = 5x - 60
5x - 1(x+4) = 60 5(16) - 60 =
5x - x - 4 = 60 80 - 60 = 20
4x - 4 = 60
4x = 60 + 4
4x = 64
x = 64 ÷ 4 x = 16
Youngest = 16
Middle = 18
Oldest = 20
Answer:
the older brothers age is 20 years old have a fantastic day or evening :)
Step-by-step explanation:
A 3 foot stick is broken into two pieces. The ratio of the two pieces is 5:7. How big are the two pieces
The 3 foot stick broken in a 5:7 ratio results in two pieces measuring 1.25 feet and 1.75 feet, respectively.
Explanation:The question involves a 3 foot stick that is broken into two pieces with a ratio of 5:7.
To find the lengths of the two pieces, we first add the parts of the ratio together, which gives us 12 parts in total.
Since the whole stick is 3 feet long, each part of the ratio represents \(\frac{3 feet}{12 parts}\) or \(\frac{1}{4} foot\) per part.
Thus, the length of the smaller piece is 5 parts (\(5 \times \frac{1}{4} = \frac{5}{4} feet\) or 1.25 feet) and the length of the larger piece is 7 parts (\(7 \times \frac{1}{4} = \frac{7}{4} feet\) or 1.75 feet).
On Tuesday at 2 p.m., the ocean’s surface at the beach was at an elevation of 2.2 feet. Winston’s house is at an elevation of 12.1 feet. The elevation of his friend Tammy’s house is 3 1/2 times the elevation of Winston’s house.
How many times greater is the elevation of Tammy’s house than the elevation of the ocean’s surface at 2 p.m.?
Answer:
the answer is 9.9
Step-by-step explanation:
12.1-2.2=9.9
The elevation of Tammy’s house is greater than the elevation of the ocean’s surface at 2 p.m. will be 9.9.
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 basic four operators that are +, -, ×, and ÷.
It is given that, on Tuesday at 2 p.m., the ocean’s surface at the beach was at an elevation of 2.2 feet. Winston’s house is at an elevation of 12.1 feet. The elevation of his friend Tammy’s house is 3 1/2 times the elevation of Winston’s house.
We have to find the elevation of Tammy’s house greater than the elevation of the ocean’s surface at 2 p.m.
Suppose the greater is the elevation of Tammy’s house than the elevation of the ocean’s surface at 2 p.m be x,
x=12.1-2.2
x=9.9
Thus, the elevation of Tammy’s house is greater than the elevation of the ocean’s surface at 2 p.m. will be 9.9.
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a school cafetiria has 40 tables. 35%of the tables have 8 chairs at each table. The remaining 65% of the tables have 6 chairs at each table. Complete the model Then complete the statement to find the total number of chairs in the cafeteria.
Answer:
Can i have a picture of the model
Step-by-step explanation:
Answer:
328 chairs
Step-by-step explanation:
40×35%=14 tables ×8=112
36remaining tables×6=216
216+112= 328
Total=328
the length of a recta gular room is 7.9 m and its width is 8.6 what's the area
Answer:
Step-by-step explanation:
so multiply 7.9 * 8.6 which will give you 67.94
Answer:
The area is 67.94m.
what value of c makes x2-24x+c a perfect square trinomial?
Answer:
144
Step-by-step explanation:
Perfect square formula: a^2 - 2ab + b^2 (because that equals (a-b)^2)
x^2-2*12x+c
a = 1
b = 12
12^2 = 144
Answer:
The value of [tex]c =144[/tex] makes [tex]x^{2}-24x+c[/tex] perfect square.
Step-by-step explanation:
We have to make [tex]x^{2}-24x+c[/tex]
Since, Perfect square formula: [tex]a^{2} - 2ab + b^{2}=(a-b)^{2}[/tex]
Re-write [tex]x^{2}-24x+c[/tex] as,
[tex]x^{2}-2\times 12x+c[/tex]
Compare above with [tex]a^{2} - 2ab + b^{2}[/tex]
Where a = x and b= 12
so, [tex]b=12[/tex]
⇒ [tex]c =12^{2}=144[/tex]
Hence, [tex](a-b)^{2}=(x-12)^{2}[/tex]
Therefore, the value of [tex]c =144[/tex] makes [tex]x^{2}-24x+c[/tex] perfect square.
how many terms are in the following expression 6+2x-4y+5z
1
2
3
4
Answer:
4
Step-by-step explanation:
A term no matter how long it is, is ended by some sort of sign. so 6 is a term 2x is a term -4y is a term and 5z is a term. The term could be 5xyz^6a^2bc^7 + 2, and there are only 2 terms.
Answer:
4
Step-by-step explanation:
There are 4 terms in the expression. Terms are separated by the addition or subtraction sign.
A line is represented by the equation x + 2y=4. What is the slope of the line with that equation?
Answer:
the slope is 1
Step-by-step explanation:
Answer:
The slope is -1/2
Step-by-step explanation:
x + 2y=4
Lets get the equation in the form y= mx+b
where m is the slope and b is the y intercept.
x + 2y=4
Subtract x from each side
x-x+2y = -x+4
2y = -x+4
Divide each side by 2
2y/2 = -1/2 x +4/2
y = -1/2x +2
The slope is -1/2
What is the volume of the following rectangular prism?
Volume =_____units^3
To find the volume of a rectangular prism, multiply the length, width, and height. The formula is V = l * w * h.
Explanation:To find the volume of a rectangular prism, you need to multiply the length, width, and height of the prism.
The formula for the volume of a rectangular prism is: V = l * w * h.
So, to find the volume of a rectangular prism, you need to know the measurements of its length (l), width (w), and height (h) in the same unit of measurement.
Multiply these values together to find the volume in cubic units (such as cubic centimeters or cubic meters).
For example, if a rectangular prism has a length of 5 centimeters, a width of 3 centimeters, and a height of 2 centimeters, you would calculate the volume as follows: V = 5 cm * 3 cm * 2 cm = 30 cm³.
The volume of the rectangular prism, obtained from the product of the known face area and the width is 11 2/3 cube units
Volume = 11 2/3 units³
The details of the steps used to find the volume of the prism can be presented as follows;
The dimensions of the rectangular prism includes a face area and the width of the prism
Area of a face of the rectangle = 3 1/3 square units
Width of the rectangular prism = 1 2/5 units
Area of a rectangular prism = Length × Width × Height
The length and the height of the rectangular prism form the face with the known area of 3 1/3 square units
Therefore; Area of a rectangular prism = Width × Area of the vertical face perpendicular to the width of the rectangular prism
Area of a rectangular prism = 1 2/5 units × 3 1/3 square units
1 2/5 units × 3 1/3 square units = (7/2) × (10/3)
(7/2) × (10/3) = 70/6
70/6 = 11 2/3
Area of the rectangular prism is 11 2/3 units³
All I want is to learn how to solve this, not just a quick answer, a step by step explanation. Please help me out.
What is the solution to this system of equations?
3x - y = -5
x + 4y = 7
I am really just looking to see how to solve more questions like these so please don't be vague.
Answer:
Well, since they are lined up correctly already, you can combine the like terms and get 4x + 3y = 2.
Is that all you wanted?
Answer:
A) 3x - y = -5
B) x + 4y = 7
Whenever you have to solve for 2 unknowns, you need 2 equations. (These are called solving simultaneous equations.)
Perhaps the easiest way to solve these is by the elimination of variables.
Looking at Equation A) we see that if we multiply it by 4, and add it to equation B), the "y" variable will be eliminated.
Multiplying equation A) by 4 we get
A) 12x - 4y = -20 then adding this to B)
B) x + 4y = 7 we get
EDITD TO CORRECT**************************************************
13x = -13
x = -13 / 13= -1
Then we can get x = -1 and insert it into either equation. (Let's choose B)
B) -1 + 4y = 7
B) 4y = 8
y = 2
*******************************************************************************************
For a double-check we can insert x = -1 and y = 2 into either equation. (Let's choose equation B)
B) -1 + 4 * 2 = 7
B) -1 + 8 = 7
And since -1 + 8 DOES equal 7, we know that we have solved for "x" and "y" correctly!
Source:
https://en.wikipedia.org/wiki/System_of_linear_equations
Elimination of variables
Step-by-step explanation:
Trapezoid ABCD is similar to trapezoid EFGH. Side AD is proportional to side ___
Answer:
Side EH
Step-by-step explanation:
Side AD is proportional to side EH. If you look at ABCD, and compare it to EFGH, the ends of the name, AD, correspond with the ends of the other, EH.
Side AD of trapezoid ABCD is proportional to side EH of trapezoid EFGH due to the properties of similar geometric figures, where corresponding sides of similar shapes are in proportion.
The question asks which side of trapezoid EFGH is proportional to side AD of trapezoid ABCD, given that the two trapezoids are similar. In similar figures, corresponding sides are proportional. Therefore, if side AD of trapezoid ABCD corresponds to side EH of trapezoid EFGH, then these sides are proportional to each other.
Since we are discussing proportions and similarity of shapes, particularly trapezoids, we can reference several mathematical concepts. By the AAA theorem, which stands for angle-angle-angle, we know that if two or more corresponding angles in two figures are equal, then the figures are similar and the sides opposite these angles are proportional. Also, the proportions of corresponding sides can be determined using theorems regarding triangles and trapezoids.
We conclude that side AD is proportional to side EH because of the properties of similar geometric figures.
Identify all the numbered angles that are congruent to the given angle
Answer:
1: 3 4 7
2: 5 6
3: 1 4 7
4: 1 3 7
5: 2 6
6: 2 5
7: 1 3 4
what is 2,190-2,910=
Answer:
-720
Step-by-step explanation:
2910 is obviously bigger than 2190 so your answer will result in a negative so what you could do is 2910-2190 which is 720 and add a negative in front of it.
find the excluded values
Answer:
0
Step-by-step explanation:
The only value I can see that won't work is a = 0. That value gives you 0 over 0 which has no definite answer at this level. It is best to call such a thing undefined or not permitted.
Need help on this
Z+4>2z
Answer: z < 4
z+4 > 2z
z+4-z > 2z-z ..... Subtract z from both sides
4 > z
z < 4
So the solution set for z is any number that is less than 4, which could be something like z = 2 or z = 3.
In the figure to the right point O is the midpoint of segment
AB
. Through point O is drawn a line
OX
.perpendicular to
AB
. Prove that any point on line
OX
is equidistant from A and B.
Answer:
See proof below
Step-by-step explanation:
Point O is the midpoint of segment AB. Through point O is drawn a line OX perpendicular to AB. Consider two triangles AOX and BOX. These triangles are right triangles, because OX is perpendicular to AB. In these triangles:
OX=OX (reflexive property of congruence);AO=OB (by the definition of the midpoint O).Thus, [tex]\triangle AOX\cong \triangle BOX[/tex] by LL theorem.
Congruent triangles have congruent corresponding sides, then AX=BX. This means that point X is equidistant from points A and B.
Convert 4 1/2 inches to a decimal
Answer:
Convert 4 1/2 inches to a decimal = 11.43 cm
Step-by-step explanation:
Answer:
I would say 4.5 in.
I hope this helps!
Cheers, July.
Step-by-step explanation:
Brainliest + Points!
Which statement describes data that is negatively skewed?
A.
The majority of the data is to the left of the mean.
B.
The majority of the data is to the right of the mean.
C.
The majority of the data is in the center with the mean.
D.
The majority of the data is split to the right and left of the mean.
Answer:
The majority of the data is to the left of the mean or The majority of the data is split to the right and left of the mean.
hope this helps
Step-by-step explanation:
A. The majority of the data is to the left of the mean
SOMEONE PLEASE HELP ME!!! ILL GIVE YOU BRAINLIST <3 PLEASE THANK YOU
Step by Step Explanation:
16. x - 4 = 4
Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Add 4 to both sides:
x - 4 (+4) = 4 (+4)
x = 4 + 4
x = 8
17. a/4 = 4
Isolate the variable (a). Note the equal sign, what you do to one side, you do to the other. Multiply 4 to both sides:
(a/4)(4) = (4)(4)
a = (4)(4)
a = 16
18. y * 20 = 30
Isolate the variable (y). Note the equal sign, what you do to one side, you do to the other. Divide 20 from both sides.
(y *20)/20 = (30)/20
y = 30/20
y = 3/2 or 1.5
19. x/5 = 20
Isolate the variable (x). Note the equal sign, what you do to one side, you do to the other. Multiply 5 to both sides
(x/5)(5) = (20)(5)
x = (20)(5)
x = 100
~
Please help please!!!!!!!!!!!!
Answer:
1
Step-by-step explanation:
Answer:
The correct answer would be, B, one
Step-by-step explanation:
20 POINTS WILL GIVE BRAINLIEST HELP QUICKLY!!
Two functions are represented in different formats function one:
X. Y
0. 5
2. 11
5. 20
8. 29
Function 2
(A graph intersecting through point -1 on y axis and 2 on x axis)
Which statements are true?
Select each correct answer
1.function 1 has a greater rate of change than function 2
2. Function 2 has a greater rate of change than function 1
3. Function 1 has a greater y-intercept thank function 2
4. Function 2 has a greater y-intercept than function 1
Answer:
Statement 3 as well as statement 1 are true
Step-by-step explanation:
Answer:
1.function 1 has a greater rate of change than function 2
3. Function 1 has a greater y-intercept than function 2
Step-by-step explanation:
Using the table we can find the slope using
m = (y2-y1)/ (x2-x1)
m = (29-5)/ (8-0)
= 24/8
= 3
The rate of change for the table is 3
The y intercept is (0,5)
Using the graph (0,-1) and (2,0)
m = (y2-y1)/ (x2-x1)
m = (0--1)/ (2-0)
= (0+1)/2
= 1/2
The y intercept is (0,-1)
Since 3>1/2 , function 1 has a greater rate of change than function 2
Since 5>-1, function 1 has a greater y-intercept than function 2
PLEASE HELP!!!!!!!!!
Can someone please answer these?? Soon??
The measures of the angles and side lengths are:
m∠ BED = 130°
m∠ BEA = 50°
x = 7
y = 16.4
BE ≈ 23
BC ≈ 34
8. m∠ BED
∠DEB and ∠BED are supplementary angles, so their measures add up to 180°.
Therefore, m∠BED = 180° - m∠DEB = 180° - 50° = 130°.
9. m∠ BEA
∠BEA and ∠DEB are vertical angles, so they have the same measure. Therefore, m∠BEA = m∠DEB = 50°.
10. x
We can use the fact that the sum of the angles in a triangle is 180° to find x.
In triangle ABE, we have ∠BAE + ∠ABE + ∠BEA = 180°.
Substituting the given values, we get (7x - 2)° + 80° + 50° = 180°.
Solving for x, we get 7x = 50, so x = 7.
11. y
We can use the fact that the measures of the angles in a triangle add up to 180° to find y.
In triangle BCE, we have ∠BCE + ∠BEC + ∠CEB = 180°.
We are given that ∠BCE = 20° (since ∠BDE = ∠BCE, and we found m∠BDE in part 8), and we can find ∠BEC using the fact that it is supplementary to ∠BEA (which we found in part 9).
Therefore, ∠BEC = 180° - 50° = 130°.
Substituting these values, we get 20° + 130° + ∠CEB = 180°.
Solving for ∠CEB, we get ∠CEB = 30°.
Now, we can use the fact that ∠CEB and ∠DEB are vertical angles to find that ∠DEB = 30°.
Finally, we can use the fact that the sum of the angles in a triangle is 180° to find y in triangle BCD.
We have ∠BCD + ∠CDB + ∠DBC = 180°.
Substituting the given values, we get 30° + 90° + (5y - 22)° = 180°.
Solving for y, we get 5y = 82, so y = 16.4.
12. BE
We can use the Pythagorean theorem to find BE in triangle ABE.
We have AB^2 = AE^2 + BE^2.
Substituting the given values, we get (5y - 22)^2 = (3y)^2 + BE^2.
Simplifying, we get 25y^2 - 220y + 484 = 9y^2 + BE^2.
Solving for BE^2, we get BE^2 = 16y^2 - 220y + 484.
Substituting the value of y that we found in part 11, we get BE^2 = 16(16.4)^2 - 220(16.4) + 484 ≈ 531.4.
Taking the square root of both sides, we get BE ≈ 23.
13. BC
We can find BC using the Pythagorean theorem in triangle BCE.
We have BC^2 = BE^2 + CE^2.
Substituting the values we found for BE and CE, we get BC^2 = 23^2 + (3y)^2.
Substituting the value of y that we found in part 11, we get BC^2 = 23^2 + 3(16.4)^2 ≈ 1163.
Taking the square root of both sides, we get BC ≈ 34.
In transaction (C) on 5/10, the Fees Earned account is a(n)
A. expense account, which increases.
B. revenue account, which increases.
C. revenue account, which decreases.
D. asset account, which decreases.
Answer:
(B) Revenue account which increases
Step-by-step explanation:
Hello, my dear friend, I am sure the question you are intending should be corrected as follows:
In transaction (C) on 5/10, the Fees Earned account is a(n) A. Expense account, which increases B. Revenue account, which increases C. Revenue account, which decreases D. Asset account, which decreases
If that is the case, then please note that whatever amount you earn, is an amount that will always increase. If you have no earnings, then nothing decreases nor decreases.
The Fees Earned account is a type of revenue account that increases when the company earns more fees. Therefore, option B (revenue account, which increases) is correct.
Explanation:In transaction (C) on 5/10, the Fees Earned account is usually classified as a revenue account. Therefore, when a company earns fees, it records the transaction as an increase in the fees earned account. The more fees the company earns, the higher the balance in this account, representing the income the company has made. So, if the Fees Earned account is increasing in value, it would be correct to say that it is a revenue account, which increases. This makes option B the correct answer.
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PLEASE ANSWER I’LL GIVE YOU BRAINLIEST
What is the value of the expression?
5 (9/12 - 1/4) + 0.5
Enter your answer in the simplest form.
Answer:
The answer is 3
Step-by-step explanation:
5( 9/ 12 − 1/ 4 )+0.5
=5( 3/ 4 − 1/ 4 )+0.5
=5( 1/ 2 ) + 0.5
= 5/ 2 + 0.5
=3
is 124 a whole number
Answer:
yes, fractions are like 1/2 or 3/6 but a whole number is not a part or a fraction such as 124.
Step-by-step explanation:
Answer:
124 is a whole number
Step-by-step explanation:
The whole numbers are the numbers 0, 1, 2, 3, etc.
124 is a whole number
Declan has n baseball cards. Sam has 4 times as any baseball cards as Declan. Amaya has 7 fewer baseball cards than Sam. Which expression represents the number of baseball cards that Amaya has?
The expression that represents the number of baseball cards Amaya has, is x=4n-7 , where x=number of baseball cards Amaya has and n=number of baseball cards Declan has.
How to elaborate the given facts ?Given that, Declan has n baseball cards.
Sam has 4 times as any baseball cards as Declan.
So, Sam has 4n cards.
According to the question, Amaya has 7 fewer baseball cards than Sam.
So, Amaya has 7 less number of baseball cards than Sam.
What is the required expression ?If, Sam has 4n cards & Amaya has 7 less number of baseball cards than Sam.
∴ The expression is x=4n-7
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