Answer:
x=2
Step-by-step explanation:
10(3x−4)=30−5x
Step 1: Simplify both sides of the equation.
10(3x−4)=30−5x
(10)(3x)+(10)(−4)=30+−5x(Distribute)
30x+−40=30+−5x
30x−40=−5x+30
Step 2: Add 5x to both sides.
30x−40+5x=−5x+30+5x
35x−40=30
Step 3: Add 40 to both sides.
35x−40+40=30+40
35x=70
Step 4: Divide both sides by 35.
35x 70
____ = _____
35 35
x=2
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Really sorry if it is complicated
(b) Write down an equation of a line that is parallel to y =2 – 3x
Answer:
4-6x=y2
Step-by-step explanation:
Andrew buys 4 books for the same price, and also a video for $18. His total bill was $110. What was the cost of a book
22. If 1 student is selected at random from the table below, what is the
probability that the student is from a family that has 3 or 4 children?
A) 2/9
B) 2.27
C) 7/27
D) 1/3
Answer:
c. 7/27
Step-by-step explanation:
add 5 +10 + 7 + 2 + 2 + 1 = 27
3 + 4 = 7
7/27
Mr. Kelly was checking out his items at Dunkin Donuts, he bought three bags of coffee that cost $6.75 each. There is a sales tax of 8.75%, how much will Mr. Kelly pay in total?
Answer:
$22.02
Step-by-step explanation:
3(6.75)(1.0875) = 22.021875 ≈ $22.02 (Assuming the store rounds down.)
Oscar is planning to paint his house. For stability, the foot of his 17-foot ladder should be placed 4 feet from the house. How far up the side of the house will the ladder reach?
Answer: The side of the house will the ladder reached by ladder = 16.52 feet
Step-by-step explanation:
House is standing vertical on the ground.
By placing ladder, it will become a right triangle with hypotenuse as ladder.
By Pythagoras theorem,
[tex](hypotenuse)^2=(perpendicular)^2+(base)^2[/tex]
i.e.
[tex](17)^2=(Height \ of\ wall\ reached\ by\ ladder)^2+4^2\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=289-16\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)^2=273\\\\\Rightarrow\ (Height \ of\ wall\ reached\ by\ ladder)=\sqrt{273}\approx16.52[/tex]
Hence, the side of the house will the ladder reached by ladder = 16.52 feet (approx)
Han wrote a proof that triangle BCD is congruent to triangle DAB. Han's proof is incomplete. Which step is missing some information? DC∥AB
Step 1: Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2: Side DB is congruent to side BD because they're the same segment.
Step 3: Angle A is congruent to angle C because they're both right angles.
Step 4: By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
and WHY?
Answer:
The answer is below
Step-by-step explanation:
From the image, we can see that DC is parallel to AB.
Step 1:
Alternate interior angles are angles formed at the inner corners of intersection on opposite sides of transversal when two parallel lines are intersected by a transversal.
Since Line AB is parallel to line DC and cut by transversal DB. So angles CDB and ABD are alternate interior angles and must be congruent.
Step 2:
DB ≅ BD (reflexive property of congruence)
Step 3:
∠A = ∠C = 90° (right angles, given). But to prove that both triangles are congruent, the correct step 3 is:
Since, ∠A = ∠C = 90° and angles CDB and ABD are congruent. This means that the third angles in the both triangles are also congruent. Hence, angle ADB and CBD are must be congruent.
Step 4:
BD = DB, angles CDB and ABD are congruent, angle ADB and CBD are congruent.
Therefore, By the Angle-Side-Angle Triangle Congruence Theorem, triangle BCD is congruent to triangle DAB .
I need help quick!
Q: The measure of
Answer:
x=34
Step-by-step explanation:
132-64=
68/2=
34
PLEASE MAKE ME BRAINLIEST
The measure of Angle d is 150°. What is the value of Measure of angle b + measure of angle c + measure of angle e?
Answer:
[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]
Step-by-step explanation:
Given
[tex]\angle d = 150[/tex]
See attachment for illustration
Required
Find [tex]\angle b + \angle c + \angle e =[/tex]
The sum [tex]of\ angles\ at[/tex] a point is [tex]360^\circ[/tex]
So:
[tex]\angle a + \angle b + \angle c + \angle d + \angle e = 360^\circ[/tex]
Angle a is at right angled.
So:
[tex]90 + \angle b + \angle c + 150 + \angle e = 360^\circ[/tex]
Collect like terms
[tex]\angle b + \angle c + \angle e = 360^\circ -150^\circ - 90^\circ[/tex]
[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]
I NEEED HELP PLEASE ANYONE!! With step by step answer
Answer:
x = 2
Step-by-step explanation:
Let me know if you have questions
Point R is located at (8, 13). Where is R' after a translation 8 units left and 6 units down?
Answer:
R' = (0,7)
Step-by-step explanation:
There are 5 inches of water in a bucket after 212 hours of a rainstorm. How much water will there be in the bucket after 8 hours if the rain continues at the same rate?
Answer:
0.188 inches
Step-by-step explanation:
Given that,
There are 5 inches of water in a bucket after 212 hours of a rainstorm
We need to find how much water will there be in the bucket after 8 hours if the rain continues at the same rate.
5 inches = 212 hours
1 hour = (5/212) inches
For 8 hours,
[tex](\dfrac{5}{212})\times 8\\\\=0.188\ \text{inhces}[/tex]
Hence, there will be 0.188 inches of water after 8 hours.
If the slowest time and the fastest time are removed from the data, how does the new mean compare to the mean of the original data set?
A. The mean would not be comparable as the data sets are different.
B.The mean would increase as there is less variability in the data.
C. The mean would decrease as there is less variability in the data .
D.The mean would not change as the lowest and greatest values were removed .
Please help hurry
Answer:
A or C Sorry!
Step-by-step explanation:
please help! quickly
Answer:
Step-by-step explanation:
Area of a cone is pie times radius square times height divided by 3
So it will be 3.14 x (4x4)x 9/3= 150.72
what fraction is equal to 3 1/4
Answer:
13/4
Step-by-step explanation:
If sally invests $400 into the Bank of Reyonds that offers her a 6% interest, compounded monthly, how much money will she have in the bank in 5 years?
Given:
Principal = $400
Rate of interest = 6% compounded monthly
Time = 5 years.
To find:
The amount in the bank after 5 years.
Solution:
The formula for amount is:
[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]
Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.
Interest compounded monthly. So, [tex]n=12[/tex].
Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get
[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]
[tex]A=400\left(1+0.005 \right)^{60}[/tex]
[tex]A=400\left(1.005 \right)^{60}[/tex]
[tex]A\approx 539.54[/tex]
Therefore, the amount of money in the bank after 5 years is $539.54.
which one is correct?
Answer:
SSS or SAS
Step-by-step explanation:
Remark
Since the two diagonals bisect each other, you have created two sets of equal lines. If that is the case, then you could prove the equality of the triangles 2 different ways.
1) The angles at the center are vertically angles which makes them equal. Since they are equal, the triangles are congruent by SAS. Notice that the angle is between the 2 equal sides.
2) Since CD and AB are marked as being equal, the triangles are congurent by SSS.
Let's play a game.... Find two numbers that multiply to
10 and add to 7.
Answer:
2 and 5
Step-by-step explanation:
five plus two equals 7
Answer:
5 & 2
Step-by-step explanation:
X + y = 7
X × y = 10
Solve with the help of trial & error method.
Factors of 10 - 1, 5, 2, 10
Let's take 5 as X & 2 as y.
X + y = 7 --- 5 + 2 = 7
X × y = 10 --- 5 × 2 = 10
Hence, the two numbers that multiply to 10 and add to 7 are 5 & 2
I’m not sure about this one
Answer:
It is the 3rd option
Step-by-step explanation:
Salma paid a total of $42 for 7 frozen meals. She had a coupon for $6 off the regular price of each meal. Each meal had the same regular price. What was the regular price of each meal
Answer:
$12
Step-by-step explanation:
42 divided by 7 is 6 so you just add the 6 that was originally subtracted die to the discount and you get 12.
jill uses some of her honey to make lotion. if each bottle of lotion requires 1/4 gallon and she uses a total 3 gallons how many bottles of lotion does she make
Answer:
am gonna need more imformation
Step-by-step explanation:
-4r>16 I have to solve this for my math hw
Answer:
r<-4
Step-by-step explanation:
when inequality is divided by a negative number the sign changes to next direction.
What type of real numbers are these.
A square pyramid how many number of faces?
A. 5
B. 6
C. 7
D. 8
Answer:
I believe a pyramid has A. 5 faces
Answer:
A. 5
Step-by-step explanation:
A. 5 faces
what is the reciprocal of 16/3
HURRY!!
The sequences are:
Number of moves: 1, 3, 7, 15, 31, 63, ...
2":2, 4, 8, 16, 32, 64, ...
Compare the two sequences. What is the pattern?
How could you find the minimum number of moves
required for a given number of disks?
The minimum number of moves required for a given number of disks.
We have given that,
The sequences are number of moves 1, 3, 7, 15, 31, 63,
2,2, 4, 8, 16, 32, 64,
Compare the two sequences.
Each term in the sequence of moves is 1 less than the corresponding term in the sequence of differences.
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members. The number of elements is called the length of the sequence.
You can find any term in the sequence of moves using the formula
[tex]a_1=2^n-1[/tex]
No one cares about the explanation good luck with your grade Bois.
The minimum number of moves required for a given number of disks.
To learn more about the sequence visit:
https://brainly.com/question/6561461
#SPJ2
Answer:
Each term in the sequence of moves is 1
less than the corresponding term in the
sequence of differences.
You can find any term in the sequence of
moves using the formula
Step-by-step explanation:
Given f(x) =1 - 3/4x find the following.
a. f(-12) b. f(0) c. f(4)
Answer:
a. f(-12) = 10
b. f(0) = 1
c. f(4) = -2
Step-by-step explanation:
In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:
a. f(-12) = 1 - 3/4(-12)
- f(-12) = 1 - (-36/4)
- f(-12) = 1 + 9
- f(-12) = 10
b. f(0) = 1 - 3/4(0)
- f(0) = 1 - 0
- f(0) = 1
c. f(4) = 1 - 3/4(4)
- f(4) = 1 - 12/4
- f(4) = 1 - 3
- f4) = -2
can you help with this Its due today.
Answer: x squared equals y
Step-by-step explanation:
Determine the y intercept
Answer:
y intercept is 4
Step-by-step explanation:
Which of the following is the best approximation of the volume of the cylinder below?
A.22,507.5 m^3
B.5626.9 m^3
C.1406.7 m^3
Answer:
B.
Step-by-step explanation:
V = (pi)r^2h
V = 3.14 * (8 m)^2 * 28 m
V = 5626.9 m^3
Answer: B.
Christopher spent a total of 52.50 at a bookstore he purchased a calendar for 9 and three books that cost the same
Answer:
Cost of each book = 14.5
Step-by-step explanation:
Given:
Total amount spend = 52.50
Cost of calendar = 9
Number of books = 3
Assume;
Cost of each book = a
Find:
Cost of each book
Computation:
Total amount spend = Cost of calendar + Number of books(Cost of each book)
52.50 = 9 + 3(a)
Cost of each book = 14.5
