Given: 8(x-1)=5x-35; Prove: x=-9
Answer:
-9
Step-by-step explanation:
8(x - 1) = 5x - 35
8x - 8 = 5x - 35
8x - 5x = 8 - 35
3x = -27
x = -27/3
x = - 9
Given: AACD is isosceles with angle D as the vertex angle. B is the midpoint of AC. AB= x + 5, BC= 2x - 3, and CD = 2x + 6. Find the perimeter of ∆ACD.
Answer:
70 unitsStep-by-step explanation:
Given triangle ACD
AB = BCCD = 2x + 6AB = x + 5BC = 2x - 3P = ?Perimeter is sum of the side lengths:
P = AD + CD + ACAD = CD because D is vertex and the triangle is isosceles
AC = AB + BC because B is midpoint of AC
Then P is:
P = 2(2x + 6) + (x + 5) + (2x -3) = 4x + 12 + x + 5 + 2x - 3 = 7x + 14Find the value of x from the AB = BC:
x + 5 = 2x - 32x - x = 5 + 3x = 8Then find the value of P:
P = 7*8 + 14 = 56 + 14 = 70 unitsIvan in inventory has a whole bunch of numbers just sitting around. He wants to build a “Multiples of 2” set in his free time. How can he tell which numbers belong in this set?
Answer:
If they are divisible by 2
Step-by-step explanation:
:))
like ex.
2 4 6 8 10 12
solve for x 8/x +1/5 = 3/x
Answer:
I think x=-25
Step-by-step explanation:
How do I do this/solve help me if you know it!
Answer:
it should be B, sorry if im wrong! :(
Step-by-step explanation:
In his last basketball game, Chris attempted a total of 25 shots and made 18 of them.What is the ratio of how many shots missed and how many shots made?
Answer:
7:18
Step-by-step explanation:
Chris attempted a total of 25 shots
He made 18 shots
Number of shots missed= 25-18
= 7
Therefore the ratio of shots missed and shots made can be calculated as follows
7:18
Hence the ratio is 7:18
Simplify:
√27x^2y^2
A) 27xy
B) 3xy
C) 3xy√3
D) xy√27
Answer:
[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]
Hence, option C is correct.
Step-by-step explanation:
Given the expression
[tex]\sqrt{27x^2y^2}[/tex]
simplifying the expression
[tex]\sqrt{27x^2y^2}=\sqrt{27}\sqrt{x^2}\sqrt{y^2}[/tex]
Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=\sqrt{27}x\sqrt{y^2}[/tex]
Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=\sqrt{27}xy[/tex]
[tex]=xy\sqrt{3^3}[/tex]
[tex]=xy\sqrt{3^2\cdot \:\:3}[/tex]
Apply radical rule: [tex]\sqrt{a^2}=a,\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
[tex]=3xy\:\sqrt{3}[/tex]
Therefore,
[tex]\sqrt{27x^2y^2}=3xy\:\sqrt{3}[/tex]
Hence, option C is correct.
Last week, Clay wrote 4 checks for $20 each from his checking account and
made one deposit of $96. What was the change in the balance of his account
over the week?*
Answer:
Step-by-step explanation:
clay will have
-80+96=16 dollars
the change in balance is +16
Harrison has 60 cds in his music collection. If 20% of the cds are country music and 40% are pop music, how many cds are other types of music?
There are 9 other CD's of a different genre.
please help and show work if you can
Answer:
38. <1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]
39. <1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]
Step-by-step explanation:
38. Sum of angles in a triangle = [tex]180^{o}[/tex]
So that;
38 + 110 + <2 = [tex]180^{o}[/tex]
148 + <2 = [tex]180^{o}[/tex]
<2 = [tex]180^{o}[/tex] - 148
<2 = [tex]32^{o}[/tex]
Thus,
<1 = [tex]38^{o}[/tex] (alternate angle principle)
<3 = [tex]110^{o}[/tex]
Therefore;
<1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]
39. <2 = [tex]28^{o}[/tex] (alternate angle principle)
So that;
sum of angles in a triangle = [tex]180^{o}[/tex]
<1 + <2 + 81 = [tex]180^{o}[/tex]
<1 + [tex]28^{o}[/tex] + 81 = [tex]180^{o}[/tex]
<1 + 109 = [tex]180^{o}[/tex]
<1 = [tex]180^{o}[/tex] - 109
= [tex]71^{o}[/tex]
<1 = [tex]71^{o}[/tex]
<3 = [tex]81^{o}[/tex]
<1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]
Help plz
Sharon and Kay went to a craft show with their
granddaughters. Sharon bought 1 adult ticket and 2
child tickets and spent $28. Kay brought 2 adult tickets
and 3 child tickets and spent $48. Use 'x' to represent
adult tickets and "y" to represent children tickets.
Can somebody help me with this. 35 points! :)))))
Evaluate x+5 if x=9 please help
Answer:
14
Step-by-step explanation:
if you plug in 9 for x in the equation x+5, you get 9+5
9+5=14
Answer:
14
Step-by-step explanation:
If it is x+5 and x=9 it is the as
9+5=14
So it would be 14, you just need to plug in the x
Scott will run at least 25 miles this week. so far he has run 16 miles . what are possible numbers of additional miles he will run?
use t for the additional miles he will run.
write your answer as an inequality solved for t.
HELP ASAP
The blue triangle is dilated to the red triangle from the
dilation point of (0,0). What is the zoom factor?
Submit and Explain
15
Answer: Scale Factor = 3
Step-by-step explanation:
The top side of the blue triangle is equal to 2 and the top side of the red triangle is equal to 6. Therefore you hav to divide 6 by 2 to give you the scale factor which is 3. (Sorry I do not know if zoom factor is the same as scale factor)
The graph of y= x^2 +4x +3 is shown
work out a and b please
Answer:
A.) i think it's (-2, -1)
B.) ?
Step-by-step explanation:
I am very sorry if they are wrong....i don't know B..sorry
Answer:
b = (-1,0) (-3,0)
Step-by-step explanation:
Write an explicit formula for an, the nth term of the sequence 15, 12,9,....
Answer:
18-3n
Step-by-step explanation:
18-3(1)=15
18-3(2)=12
etc
etc
direct and inverse variation
Answer:
4 workers can do the job in 18 days.
Step-by-step explanation:
The number of days d varies inversely as the number of workers.
We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]
where k is constant of proportionality
We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.
d = 9, w = 8
d = 18, w =?
First we will find value of k when d = 9, w =8
[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]
The value of k, will remain same as it is constant.
We get k = 72.
So, Now we have d = 18, k = 72 and we need to find w
[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]
So, 4 workers can do the job in 18 days.
Can somebody please help me with these pleaseeeee!
a. About how much does a textbook weigh? b. About how much does a car weigh? c. About how much does a mosquito weigh? d. About how long is a textbook? e. About how long is a car?
Answer:
a. About 0.907185 kg to 2.72155 kg
b. About 1857 kg
c. About 0.005 g
d. About 0.75 feet
e. About 15 to 16 feet
Step-by-step explanation:
These are all estimated measurements and may vary across different regions and jurisdictions.
what's the answer to question c in the graph below
Answer:
3
Step-by-step explanation:
3is tha answer of pair of shoes..
am i rght
Answer:
3
Step-by-step explanation:
3 is right answer because it is largest pair of number
How will you remember the slopes of the horizontal and vertical lines?
Answer:
The slope of a horizontal line = 0, not undefined. The slope of a vertical line = undefined.
Step-by-step explanation:
What is the final amount if 588 is decreased by 3% followed by a 6% increase?
Give your answer rounded to 2 DP.
Answer:
604.58
Step-by-step explanation:
because hegarty says its 604.58
Suppose the linear regression line y = 2.009x - 37.131 predicts a pizza
parlor's profits based on the number of pizzas sold. If x represents the
number of pizzas sold, and y represents the pizza parlor's profits in dollars,
about how much can the pizza parlor expect in profits if it sells 275 pizzas?
Answer:
Pizza parlor's profit = $515.344
Step-by-step explanation:
Given that:
Linear regression line for pizza parlor's profit
y = 2.009x - 37.131
x represents the number of pizzas sold
y represent the profit in dollars
Profit for 275 pizzas
Putting x = 275 in given equation
y = 2.009(275) - 37.131
y = 552.475 - 37.131
y = 515.344
Hence,
Pizza parlor's profit = $515.344
divided 9 by the sum of 2 and 9 Equals (15 pts)
Please Help!!
Answer:
4.5
Step-by-step explanation:
Answer:
.81818181818
Step-by-step explanation:
9/(2+9)
9/11
.81818181818
Draw an area model to solve 774 divided by 3
Skyla wants to buy a massage table to start her spa business. She sees one she wants for $1,200. If she can save $13 a week, how many weeks will it take her to save up for the massage table?
Answer:
27 because you have to multipli and then divide
Answer:
about 93 weeks
Step-by-step explanation:
divide 1200 by 13 to get your answer which is 92.3076923077 so then you just instead of rounding to 92 you would round to 93 because it would take her more then 92 weeks so the answer would be about 93 weeks
Find the highest common factor of 55 and 605
Answer:
55
Step-by-step explanation:
Factors for 605: 1, 5, 11, 55, 121, and 605
Factors for 55: 1, 5, 11, and 55
So the highest common factor they have is 55.
HCF = 55
The sum of three consecutive odd integers is –87. What are the integers?
A.
–31, –33, –35
B.
–30, –29, –28
C.
–31, –30, –29
D.
–31, –29, –27
Solve for h in the following equation: — 6 (h + 2) = 72
10
-10
76
-14
Answer:
-6h -12 = 72
-6h = 72 + 12
-6h = 84
h = -14
