Answer:
see explanation
Step-by-step explanation:
Complementary angles sum to 90°
∠ CBA = 31° and ∠ BAC = 59° , sum to 90° (31° + 59° = 90° )
Thus
∠ A and ∠ B are complementary angles
Answer: They are complementary
Step-by-step explanation: took the test on edge!
Please help me out with this one
Answer:
is it not just 3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Find the intersection of Red and Cruze, and you get the box with 3
In the following, after distributing and solving, find the error.
6(x + 8) = 72
6x + 48 = 72
6x + 48 + 48 = 72 + 48
6x = 120
X = 20
What was the error and explain then give the correct answer.
John invested his inheritance of $12000 in 3 different funds part in a money market fund paying 3% interest annually Parton monusco bonds paying 4% annually and the rest in mutual funds paying 7% annually John invested 4000 more in mutual funds than he invested in municipal bonds the total interest in one year with $670
Answer:
John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
John invested his inheritance of $12,000 in three different funds: part in a money-market fund paying 3% interest annually; part in municipal bonds paying 4% annually; and the rest in mutual funds paying 7% annually. John invested $4,000 more in mutual funds than he invested in municipal bonds. The total interest earned in one year was $670. How much did he invest in each type of fund?
The explanation of the answer is now given as follows:
Let a, b and c represent the amount invested in money-market fund, municipal bonds and mutual funds respectively. Therefore, the sum of the three principal amounts can be represented as follows:
a + b + c = 12,000 ……………………….. (1)
Since John invested $4,000 more in mutual funds than he invested in municipal bonds, we have:
c = b + 4,000 ……………………………. (2)
The total amount of interest earned from each fund can be represented as follows:
0.03a + 0.04b + 0.07c = 670 ………………. (3)
Substituting equation (2) into equation (1), we have:
a + b + b + 4,000 = 12,000
a + 2b = 12,000 – 4,000
a + 2b = 8,000
a = 8,000 – 2b ……………………….. (4)
Also, substituting equation (2) into equation (3), we have:
0.03a + 0.04b + 0.07(b + 4,000) = 670
0.03a + 0.04b + 0.07b + 280 = 670
0.03a + 0.04b + 0.07b 0 = 670 – 280
0.03a + 0.11b = 390 ,,,,,,,,,,,,,,,,,,,,,, (5)
Substituting equation (4) into equation (5) and solve for b, we have:
0.03(8,000 – 2b) + 0.11b = 390
240 – 0.06b + 0.11b = 390
240 + 0.05b = 390
0.05b = 390 – 240
0.05b = 150
b = 150 / 0.05
b = 3,000
Substituting b = 3,000 into equation (2), we have:
c = 3,000 + 4,000
c = 7,000
Also, substituting b = 3,000 into equation (4), we have:
a = 8,000 – (2 * 3,000)
a = 8,000 – 6,000
a = 2,000
Therefore, John invested $2,000 in money-market fund, $3,000 in municipal bonds, and $7,000 in mutual funds.
Write a mathematical expression for the following.
"The product of a number and five is decreased by three."
Answer:
x=y-3
Step-by-step explanation:
okay, so first, we have to understand what the words mean.
PRODUCT: means the answer to a multiplication question
DECREASED: taken away or to make smaller
AND: addition or add
We can use X for "product" and Y for "a number"
now we can write it out:
x=y+5-3
OR
y+5-3=x
w/4 -4 = 3
this is w over 4
solve the equation and show process
Answer:
w=28
Step-by-step explanation:
multiply both side by 4:
[tex]4*(\frac{w}{4} -4)=3*4\\4*\frac{w}{4}-16=12\\w-16=12[/tex]now add +16 in both side:
[tex]16+w-16=12+16\\w=28[/tex]
3x-(-3-x)=-1
pls answer this
Step-by-step explanation:
Apply rule: 3x+3x =-1
Add similar elements: 6x=-1
Divide both sides by six
Simplify: x= -1/6
Find the unit rate.
18 push-ups in 3 days= ??
beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?
Answer:
Step-by-step explanation:
Beth is painting at a rate of 6/5=1 1/5 room per hours
The time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.
What is Division?Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that at top speed, Beth could paint 5 identical rooms during one 6 hour shift. Therefore, the time it will take for Beth to paint a single room is,
Time for a single room = Time taken to paint / Number of rooms
= 6 hours / 5 rooms
= (6/5) hours per room
= 1 1/5 hours per room
Hence. the time taken by Beth to paint a single rooms is (6/5) hours per room or 1 1/5 hours per room.
Learn more about Division here:
https://brainly.com/question/369266
#SPJ2
Gabrielle went out to her garden and cut 3 roses from the first rose bush, 5 roses from the second rose bush, 9 roses from the third rose bush, and 15 roses from the fourth rose bush. If this pattern continues, how many roses will Gabrielle cut from the fifth rose bush?
Answer:
23 roses from the fifth rose bush
Step-by-step explanation:
3 roses from the first rose bush
5 roses from the second rose bush
9 roses from the third rose bush
15 roses from the fourth rose bush
Odd numbers are 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25
roses from the second rose bush = next odd number after 3
= 5
roses from the second rose bush
= 2 next odd number after 5
= 9
roses from the fourth rose bush
= 3 next odd number after 9
= 15
how many roses will Gabrielle cut from the fifth rose bush?
roses Gabrielle cut from the fifth rose bush = 4 next odd number after 15
= 23
23 roses from the fifth rose bush
how many terms of series 64+16+4 have the sum 5461\64?
Answer:
5th term will approximate 5461/64
Step-by-step explanation:
5th term will approximate 5461/64
64+16+4+1+0.25 = 85.25 ≈ 5461/64 = 85.33
Please help!!! I’ll mark the best answer brainliest!! (look at the photo)
Go with ÷5 its the most closest while the rest are no where to be found.
Identify and state the pattern of odd number and even numbers for the following sequences of numbers.
a) 11, 16, 19, 24,..., 83, 88
Answer:
Step-by-step explanation: add 5, add 3
24+5= 29,
29+3= 32,
etc
The total charge for a yearly Internet DVD rental membership is $231. A registration fee of $15 is paid up front, and the rest is paid monthly. How much do new members pay each month, m?
Answer:
New members pay each month = $18 per month
Step-by-step explanation:
Given:
Total rental membership = $231
Advance registration fee = $15
Find:
New members pay each month
Computation:
Number of month in year = 12
Fee after registration = $231 - 15$
Fee after registration = $216
New members pay each month = Fee after registration / Number of month in year
New members pay each month = 216 / 12
New members pay each month = $18 per month
Answer:
Step-by-step explanation:
UR MOM
The price of an item has been reduced by 20%. The original price was $65. What is the price of the item now?
Answer:
$52
Step-by-step explanation:
1.First find out how much is 20% of $65
So:
20/100 × 65/1 = 1300/100 = 13
So 20% of $65 is $13
2. Subtract the amount of percentage, which is $13, from the original price, which is $65, to get the new price.
So:
$65 - $13 = $52
The new price or price of the item now is $52
I hope this helps!
The price of a bicycle was reduced from $120 to $90. By what percentage was the price of the bicycle reduced?
Answer:price of the bicycle was reduced by 25%
Step-by-step explanation:
Step 1
Old Price of bicycle = $120
New Price of bicycle= $90
Price decrease= $120-$90= $30
Step 2
Percentage decrease = Decrease / Original price x 100
= (30/120) x 100
1/4 x 100
= 25%
Therefore the percentage decrease in the price is 25%
helppppppppppp OMG pleaseee
Answer:
It is
1/c^93
Step-by-step explanation:
Help! How do you solve ?
20 points !!
Answer:
Let the required side be x.
[tex] {x} = \sqrt{ { (\sqrt{2})}^{2} + {(4)}^{2} } \\ = \sqrt{2 + 16} \\ = \sqrt{18} \\ = \boxed{ 3 \sqrt{2} }[/tex]
3√2 is the right answer.Stefan sells Jin a bicycle for $150 and a helmet for $18. The total cost for Jin is 140% of what
Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How
much money did he make by selling the bicycle and helmet to Jin?
Stefan originally spent $
Answer:
168
Step-by-step explanation:
Stefan sells Jin a bicycle for $150 and a helmet for $18. The total cost for Jin is 140% of what
Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How
much money did he make by selling the bicycle and helmet to Jin?
Stefan originally spent $ because you said "Stefan spent originally to buy the bike and helmet" so the answer would be 168
Consider the two expressions. Expression 1: -4(9x-2)+3
Expression 2: -36x+k
What value of k will make the two expressions equivalent?
Answer:
11
Step-by-step explanation:
first, distribute the negative four in Expression 1: -36x+8+3
next, set that equal to Expression 2: -36x+11 = -36x+k
finally, add 36x to both sides: 11 = k
A mechanic is constructing the metal structure shown.
Both F) and IK measure 4 m and are perpendicular to GH. The measure of ZKIH = 40° and GJ HK.
What is the measure of ZFGJ?
A. 20°
O B. 40°
O C. 50
O D. 90°
Answer:
C) 50°
Step-by-step explanation:
Δ FJG ≅ Δ IKH
∡J = 90
∡I and ∡F = 40
therefore, ∡G = 180 - (90+40) = 50°
y = j(11 + k) ^ 2 when j = -4 and k = 1
Thank you so much !!!❤️❤️❤️
is a hotdog a taco or a sandwitch?
Answer:
Step-by-step explanation:
None of them
HELP PLEASE 13 POINTS!!!!!! SUPER EASY
A worm crawled the first 4 hours of its journey at speed of 15
meters per hour and the remaining 7 hours at 12 meters per
hour. How far is the whole journey in meters?
meters
Answer:
144 meters.
Step-by-step explanation:
If he starts the first 4 hours at 15 meters per hour, he will have traveled 60 meters. If he does the rest of the 7 at 12 meters per hour, he will have traveled another 84 meters. If you add them together you get a total journey of 144 meters.
5n+2(11-h)=-5
please help me find the answer and step by step
Answer:
Step-by-step explanation:
Answer:
[tex]5n + 2(11 - n) = - 5 \\open \: brackets \\ 5n + 22 - 2n = - 5 \\ 5n - 2n = - 5 - 22 \\ 5n - 2n = - 27 \\ 3n = - 27 \\ n = \frac{ - 27}{3} \\ n = - 9[/tex]
Kera earns $12 per hour at her job. Every day she also earns $15 for walking her neighbor’s dog. She has decided to save all of her earnings for college. If x represents the number of hours she works, write an expression that represents the total amount Kera will save for college each day.
Answer:
nah
Step-by-step explanation:
Solve the equation: explain in detail please! I will mark brainliest.
X/5 + 6 = 10
44
30
20
-20
Answer:
x = 20
Step-by-step explanation:
The way to solve these problems is by isolating x (getting it by itself on one side).
So let's look at the operations needed! First of all, there's currently a +6 hanging out next to x. We don't want that, so we subtract 6 from both sides.
x/5 + 6 = 10
-6 -6
x/5 = 4
We now see that x is being divided by five. To get just x, we can now multiply both sides by five to get rid of that fraction.
x/5 = 4
*5 *5
x = 20
how many vertices does a prism with 54 edges have?
Answer:
13 vertices. In geometry, the augmented hexagonal prism is one of the Johnson solids (J54). As the name suggests, it can be constructed by augmenting a hexagonal prism by attaching a square pyramid (J1) to one of its equatorial faces. When two or three such pyramids are attached, the result may be a parabiaugmented hexagonal prism, a metabiaugmented hexagonal prism or a triaugmented hexagonal prism. Augmented hexagonal prism.
Type: Johnson J53 - J54 - J55
Faces: 2x2 triangles 1+2x2 squares 2 hexagons
Edges: 22
Vertices: 13
I need help someonehelp me
Answer:
∠ F ≈ 78°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosF = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{FG}{EF}[/tex] = [tex]\frac{1.5}{7.5}[/tex] , then
∠ F = [tex]cos^{-1}[/tex] ([tex]\frac{1.5}{7.5}[/tex] ) ≈ 78° ( to the nearest degree )
can someone help me find out what is 48y-24
Answer:
24(2y-1)
Step-by-step explanation:
(pls mark me brainliest)