1.6[7-4m]=30
2.[5+6a]-3=8
Answer:
(a,m=(-1499/1812, 1/2)
Step-by-step explanation:
hope this helps!
Find the value of x if A, B, and C are collinear points and B is between A and C. AB=6x,BC=x−5,AC=23
Answer:
The value of x = 4 if A, B, and C are collinear points and B is between A and C.
Step-by-step explanation:
We need to find the value of x if A, B, and C are collinear points and B is between A and C.
We have AB=6x,BC=x−5,AC=23
If points are collinear and B is between A and C we can write:
AC=AB+BC
Putting values and finding value of x
[tex]AC = AB+BC\\23=6x+x-5\\23=7x-5\\7x=23+5\\7x=28\\x=\frac{28}{7}\\x=4[/tex]
The value of x = 4 if A, B, and C are collinear points and B is between A and C.
A triangle has a base of 16" in height of 1/8 inch what is the area?
Answer:
Area of triangle is 1 inches²
Step-by-step explanation:
We are given:
Base of triangle = 16 inches
Height of triangle = [tex]\frac{1}{8} \:[/tex] inches
We need to find:
Area of triangle
The formula used to find Area of triangle is:
[tex]Area \:of\: triangle=\frac{1}{2}\times b \times h[/tex]
where b is base and h is height.
Putting values and finding area:
[tex]Area \:of\: triangle=\frac{1}{2}\times 16 \times \frac{1}{8}\\ Area \:of\: triangle=\frac{16}{16}\\ Area \:of\: triangle=1\:inches^2[/tex]
So, Area of triangle is 1 inches²
. A cell phone company has three different production sites. Five percent of the cars from Site 1, 7% from Site 2, and 9% from Site 3 have been recalled due to unexpected shutdown issue. Suppose that 60% of the phones are produced at Site 1, 30% at Site 2, and 10% at Site 3. If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3 (write it up to second decimal place)
Answer:
0.15 = 15% probability that it came from Site 3
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Being recalled
Event B: Recalled from site 3.
Probability of being recalled:
5% of 60%(from site 1)
7% of 30%(from site 2)
9% of 10%(from site 3).
So
[tex]P(A) = 0.05*0.6 + 0.07*0.3 + 0.09*0.1 = 0.06[/tex]
Probability of being recalled, being from site 3.
9% of 10%.
[tex]P(A \cap B) = 0.09*0.1 = 0.009[/tex]
If a randomly selected cell phone has been recalled, what is the probability that it came from Site 3?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.06} = 0.15[/tex]
0.15 = 15% probability that it came from Site 3
(PLEASE HELP ASAP)
A plumber has a 12-foot piece of pipe. He needs 8 feet, 6 inches of pipe to repair a leak in a water line. How many inches of pipe will he have left after he makes the repair?
Answer:
3ft 6in or 42 inches in total
Step-by-step explanation:
hope this helps
Jada has a coin jar containing n nickels and d dimes worth a total of $3.65. The
equation 0.05n + 0.1d = 3.65 is one way to represent this situation.
Which equation is equivalent to the equation 0.05n +0.1d = 3.657
Answer:5n+10d=365.7 pennies
Step-by-step explanation:
Solve 4(5x+2)=14x+32
Answer:
x=4
Step-by-step explanation:
4(5x+2)=14x+32
20x+8 = 14x+32
20x-14x+8=14x-14x +32 (Both side +14x)
6x+8=32 (cancel 14x -14x)
6x+8-8=32 -8(both side -8)
6x=24 (both side divide 6)
6x/6=24/6
x=4
Answer:
34x+34
Step-by-step
20x+2=14x+32
20x+14x=2+32
34x+2+32
2+32=34
34x=34
PLEASE HELP !!! i need to know the surface area
Answer:
244 ft²
Step-by-step explanation:
Rectangle Base Area: 6•4=24
Rectangle Side Area: 8•10=80; 80•2(sides) = 160
Triangle Sides Area: (10•6=60); 60/2(area of triangle) = 30; 30•2(sides)=60*
*Technically can skip the divide by two and then multiply by two, since they cancel out*
(Area of Triangle Formula= 1/2bh)
Add areas together: 24+160+60= 244 ft²
7.4 divided by 92.5 will have the same quotient as 74 divided by 925?
Yes because in it's the same variable do it will give the same answer
What numbers are a distance of 12 unit from 35 on a number line?
Select the locations on the number line to plot the points.
30 points
Answer:
The numbers are 1/10 & 11/10
Answer:
yes means yes
Step-by-step explanation:
1. If you make 8 1/5 cookies in 1/4 of an hour, how many cookies can you make in one hour? Find
the unit rate.
Answer:
32.8
Step-by-step explanation:
you divide 8 1/5 by 1/4 to find the unit rate.
Pls help on #10 will give brainliest
Please help. I dont understand how to do this. Enter the coordinates of the vertices of (Ry-axis ∘ r(90°, O))(QRST).
Answer:
I think it's
Q = ( 1 , 3 )
R = ( 3 , 3 )
S = ( 0 , 2 )
T = ( -2 , 1 )
Step-by-step explanation:
please tell me if this is wrong.
Hope this helps!
13
5
ө
12
What is the length of the side opposite to angle θ
Answer: Sin θ =
Step-by-step explanation:
In the figure attached, ABC is a right angle triangle.
Sides of this triangle are AB = 12 BC = 5 and CA = 13
Angle opposite to the side having length = 12 is θ.
Now we have to calculate sin θ.
Since Sinθ =
=
Therefore, ratio which represents sinθ will be
Step-by-step explanation:
please help with this :(
Answer: -m^4
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
-1 x -1 x -1 = 1