Answer:
7
Step-by-step explanation:
For the problem:
3 1
2
÷
1
2
= ?
Convert any mixed numbers to fractions:
3 1
2
=
7
2
Division of fractions is equivalent to multiplication by the reciprocal of the second fraction:
7
2
÷
1
2
=
7
2
×
2
1
Once rearranged, multiply all of the numerators by each other. Do the same with the denominators and form a new fraction with these values:
7 × 2
2 × 1
=
14
2
The Greatest Common Factor (GCF) of 14 and 2 is 2. The result can be simplified by dividing both the numerator and denominator by 2.
14
2
=
14 ÷ 2
2 ÷ 2
= 7
The result is:
3 1
2
÷
1
2
= 7
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.
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.
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.
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
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.
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 unitsIn 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
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
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
Special Right Triangles
Need help don’t understand this.
Answer:
d
Step-by-step explanation:
Answer:
fourth option
Step-by-step explanation:
Since the sides are congruent, then the diagonal divides the square into 2 right isosceles triangles.
Thus the 2 base angles are congruent with measure 45°
Hence y = 45
-------------------------------------------------------------
Using the cosine ratio in the right triangle and the exact value
cos45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 10[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 5[tex]\sqrt{2}[/tex]
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.
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
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
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:
Mr. Ellis owns a landscaping company. He sends two crews to mow grass. Crew A mows 6 acres in 7.5 hours. Crew B mows 4.5 acres in 6 hours. Which crew is faster?
Hey there!
The answer to your question is Crew A
We can find this by first finding the unit rate, or acres per hour. We can divide the amount of acres by the amount of hours.
Crew A : 6/7.5 = 0.8 acres per hour
Crew B : 4.5/6 = 0.75 acres per hour
With the data above, we can see that Crew A is faster.
Hope it helps and have an amazing day! Remember, You've got this!
Answer:
A crew
Step-by-step explanation: i did it
Ivan 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
Can somebody help me with this. 35 points! :)))))
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.
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
Find the slope given the following ordered pair
(-3, 4) and (-3, -8)
Answer:
There is no slope
Step-by-step explanation:
There is no slope bc the entered points belong to a vertical line
the equation: x = -3
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)
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
solve for x 8/x +1/5 = 3/x
Answer:
I think x=-25
Step-by-step explanation:
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]
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:
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
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:
Draw an area model to solve 774 divided by 3
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
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