Answer:
a) The sale price of the sofa will be $490
b) He saved about $210
Which statement about these triangles is true?
Five less than twice the value of a number is equal to three times the quantity of four more than one-half the number. What is the number?
Answer:
2x - 5 = (1/2)
4x - 10 [multiply by 2]
x - 10 = -13 [subtract 3x from both sides]
x = -3 [add 10 to both sides]
Step-by-step explanation:
The required number would be 34 which is determined by the phrase "five less than twice the value of a number is equal to three times the quantity of four more than one-half the number"
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
When broken down, these sorts of statements are not intimidating. First, consider "five less than twice the value of a number."
"Twice the value of a number" is simply 2x.
"Five less" is simply -5, so for the first part we have (2x-5)
Examine the second section next. "Three times four times more than one half the number."
"Three times the quantity" simply indicates "three times something."
4 + "one half the number" or 4 + (1/2)x is "the quantity of four more than one half the number."
So the second part is simply 3(4+x/2).
Finally, we complete the equation, (2x-5) = 3(4+x/2) and solve for x.
2x-5 = 12 + (3/2)x
2x-(3/2)x = 17
x/2 = 17
x = 34
Therefore, the required number would be 34.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Jackson has to have his car repaired. The mechanic tells him it will cost $75 for each hour of labor plus the cost of the parts. He discovers that the parts cost $165.
Part A: Write an equation that can be used to determine the cost of the repairs for any hours of labor.
Part B: How much would the repairs be if it took 3 hours?
Part C: What is the meaning of the slope in Part A?
Part D: What is the meaning of the y-intercept in Part A?
Answer:
a 75x+165=y
b 75(3)+165=390
c 75x is the cost increasing for each hour
d y-intercept=165, it cost at least 165 for the parts
Step-by-step explanation:
21 is a supplement of 22, and mZ1 = 123°. Z2 is a complement of 23. Find m23.
O
mZ3 =
Josh was packing to move to another office. He packed 3 2/5 boxes on Tuesday and 2 9/10 boxes on Wednesday. After everything was moved to his new office on Wednesday afternoon, he only found 4 1/4 boxes. How many boxes were missing?
Answer:
2 1/10 boxes were missing.
Step-by-step explanation:
It is given that,
Josh packed [tex]3\dfrac{2}{5}[/tex] boxes on Tuesday
Josh packed [tex]2\dfrac{9}{10}[/tex] boxes on Wednesday
After everything was moved to his new office on Wednesday afternoon, he only found [tex]4\dfrac{1}{4}[/tex] boxes.
We need to find the no of boxes that are missing.
Total no of boxes packed on Tuesday and Wednesday,
[tex]3\dfrac{2}{5}+2\dfrac{9}{10}\\\\=\dfrac{17}{5}+\dfrac{29}{10}\\\\=\dfrac{63}{10}[/tex]
Missing boxes :
[tex]M=\dfrac{17}{4}-\dfrac{63}{10}\\\\=\dfrac{41}{20}\\\\=2\dfrac{1}{20}[/tex]
Hence, 2 1/10 boxes were missing.
If I can read 54 pgs in 3 days, how many can I read in 1 day?
7 notebooks cost $21. How much for 5 notebooks?
Answer:
18 pages
$15
Step-by-step explanation:
54/3= 18
21/7= 3
3*5=15
Answer:
105
Step-by-step explanation:
A group of friends paid $7 each to play a round of golf . It also cost $ 12 to rent a golf cart. As a group, they paid $ 33 altogether . Determine the number of friends that played golf .
Answer:
3 friends played golf
Step-by-step explanation:
33-12=21
21/7=3
Can someone please help me with this? It's the only question I need help with (since we are reviewing things that we learned in 6th grade again)
Answer: 18 mega rolls
Step-by-step explanation:
Answer:
the second one is a better deal.
Step-by-step explanation:
first deal:
6 rolls for 9.24
9.24/6 = 1.54
1.54$ per roll
second deal:
18 rolls for 27.54
27.54/18 = 1.53
1.53$ per roll
the second one is one cent cheaper
If Paul works on Saturdays, he earns $8 per hour (h). plus a $15 bonus for working on the weekend. He wrote a
function, f(h) = 8h + 15 to help calculate how much he would earn working different numbers of hours next Saturday.
How much will Paul earn for working 6 hours and 8 hours?
A)$63, $78
$63, $78
B)$48, $64
$48. $64
C)$63, $79
$63, $79
D) $48, $79
$48, $79
Answer:
23
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The monthly gross receipts for the ABC Copy Creation house amounted to $20,834.34. Unfortunately, the expenses amounted to $18,750.91, but this did give the owner of the company some profit. What was the profit for the month?
Given :
The monthly gross receipts for the ABC Copy Creation house amounted to $20,834.34.
The expenses amounted to $18,750.91.
To Find :
What was the profit for the month.
Solution :
We know, profit is given by :
Profit, P = Monthly income - Expenses
P = $( 20,834.34 - 18,750.91 )
P = $2083.43
Therefore, the profit for the month is $2083.43 .
Need help asap please
Answer:
Fatima
Step-by-step explanation:
just follow where the point is to get the ordered pair lol
PLEASE HELP I'LL GIVE YOU BRAINLIEST
Find the slope, or rate of change:
Answer:
C. 3/2
Step-by-step explanation:
slope:
Rise/run:
rise: 6
run: 4
6/4:
reduce = 3/2
Which of the following minor function have a rate of change that is really then 14? select all that apply
Answer:
Uhm....attach the photo
Step-by-step explanation:
where is the rest of the quienstion?
Step-by-step explanation:
???
..............................................................................
Answer:
-5 ,3 ...
Step-by-step explanation:
thats all i can think of ..,..
solve (x^2+3x-2)(x^2-2x+15)
Answer: x^4 + x^3 + 7x^2 + 49x - 30
Step-by-step explanation:
first, we use the distributive property.
x^2 x (x^2 - 2x + 15) + 3x x (x^2 -2x + 15) - 2(x^2 - 2x + 15)
then, we remove the parenthesis.
x^4 - 2x^3 + 15x^2 + 3x^3 - 6x^2 + 45x - 2x^2 + 4x - 30
then, we collect like terms.
x^4 + x^3 + 7x^2 + 49x - 30
What is 5% of $40.00?
Answer:
$2
Step-by-step explanation:
40 x 0.05 = 2
(-5,-3) (5,-4) slope =
Answer:
Your slope would be -1/10
Step-by-step explanation:
To find the slope from two points, you would use the formula y2-y1/x2-x1
In this case, the equation would look like -4-(-3)/5-(-5)
-4 - (-3) = -1
5 - (-5) = 10
-1/10 = -1/10
What is the greatest common factor of the following terms: 3x, 9x, 27x
Answer:
Step-by-step explanation:
1 and 3
yea yea yea yea yea help please i have a zero in this class lol
Answer:
D. -3z+2
Step-by-step explanation:
Steps:
Remove parentheses: (a) = a
= 5z+9-(8z+7)
....
Simplify
5z+9-8z-7: -3z+2
Answer:
-3z +2
Step-by-step explanation:
A expression in terms of z is given to us and we need to simplify out the given expression . The give an expression to us is ,
[tex]\implies (5z + 9 ) - ( 8z + 7 )[/tex]
Recall that , + × - = - . We have ,
[tex]\implies 5z + 9 - 8z - 7 [/tex]
Combining the like terms and simplifying ,
[tex]\implies 5z - 8z - 7 +9 \\\\\implies \underline{\underline{ -3z +2 }}[/tex]
Hence the last option is correct .
In an experiment, the variable that is manipulated is called the?
Measurement variable
Explanatory variable
Response variable
Confounding variable
Answer:
Explanatory Variable is the right answer it is the variaable being manipulated and observed.
Step-by-step explanation:
Does anyone know the answer ? (geometry)
Answer:
The answer 7.48
Step-by-step explanation:
I hope this helped
12 + 3(8 + x)
But it can only be done like this e.x— 2(3 + 9x)= 6 + 18x
Help me
Answer:
I got uuu
I got 36+3x
u just gotta mutiply the 3 to both the 8 and x making 24+x then u put the 12 then I got the equation 24+x+12 then add like numbers so the only onea u got are 12 and 24 which make 36 and left with 3x so ur solution is 36+3x
Graph a line that contains (-2,7) and a slope of 4
Answer:
The equation would be y = 4x + 15
Answer:
draw a line trogh the points (-2, 7) and ( -1,11)
Step-by-step explanation:
Plot the first point (-2,7) then go 4 up and 1 right (because the slope is
4 = 4 rise/1run ), plot that second point ( -2+1, 7+4) = (-1, 11), and connect them.
What is the average rate of change of the function
f(x) = 2x + 8
over the interval [2, 6)?
The average rate of change of the function f(x) over the interval [tex][2, 6][/tex] is 2.
Important information:
The function is [tex]f(x)=2x+8[/tex].The given interval is [2,6].Average rate of change:The average rate of change of the function f(x) over the given interval [tex][a,b][/tex] is:
[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]
Using the above formula, we get
[tex]m=\dfrac{f(6)-f(2)}{6-2}[/tex]
[tex]m=\dfrac{(2(6)+8)-(2(2)+8)}{4}[/tex]
[tex]m=\dfrac{12+8-4-8}{4}[/tex]
[tex]m=\dfrac{8}{4}[/tex]
[tex]m=2[/tex]
Thus, the average rate of change of the function f(x) over the interval [tex][2, 6][/tex] is 2.
Find out more about 'average rate of change' here:
https://brainly.com/question/8061202
Daria discovers a pattern in her homework assignment. X shows the missing digit in the pattern. The table shows 12, 84, 156, 228 and x. What is the possible answer for the last digit?
a. 276
b. 547
c. 300
d. 347
( whoever answers CORRECTLY first, WILL get brainliest and an additional +21 points)
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2007, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the calendar year in which the number of new cases would reach 1344.
Years since 2007 (x) New Cases (y)
0 1112
1 1081
2 1116
3 1159
Answer:
y=17.6x+1090.6
2021
Step-by-step explanation:
Got this off of Delta Math. So this answer is 100 percent correct!
Which of the following is the value of PQ?
A) 46
B) 61
C) 91
D) 67
Answer:
d.67
Step-by-step explanation:
Answer:
B) 61Step-by-step explanation:
QR = QS
3x + 16 = 7x - 24
16 + 24 = 7x - 3x
40 = 4x
x = 40/4
x = 10
substitute x=10 into PQ = 2x+41
PQ = 2(10) + 41
PQ = 20 + 41
PQ = 61
PLZ HELP ME ITS 30 POINTS PLZ HELP ME ITS 30 POINTS
Answer:
thankssss
Step-by-step explanation:
Answer:
ty
Step-by-step explanation:
g(t) = 2t - 5; Find g(-9)
Answer:
g = -23
Step-by-step explanation:
HELP
Which statements are always true regarding the
diagram? Select three options.
Omz5 + mz3 = mz4
Omz3 + mz4 + mz5 = 180°
Dmz5 + mz6 =180°
Dm2 + mz3 = mz6
Omz2 + mz3 + mz5 = 180°
Answer:
Step-by-step explanation:
m∠5 +m∠6 = 180° ( the angles form a line)
m∠2 + m∠3 = m∠6 ( exterior angle is the sum of 2 not adjacent angles)
m∠2+m∠3+m∠5= 180° (sum of angles in a triangle is 180°)
