Answer:
k = 5
Step-by-step explanation:
Step 1: Cross multiply
k/6 = 15/18
k(18) = 6(15)
18k = 90
Step 2: Divide both sides by 18
18k / 18 = 90 / 18
k = 5
Answer: k = 5
Another way to do it is to multiply both sides by 6
k/6 * 6 = 15/18 * 6
k = 90 / 18
k = 5
Answer: 5
Step-by-step explanation: To solve for k in the given proportion, we use the means-extremes property. The product of the extremes, (k)(18), equals the product of the means, (6)(15).
So we have (k)(18) or 18k = (6)(15) or 90.
Now we have the equation 18k = 90.
Dividing both sides by 18, k = 5.
It's a good idea to check the answer in these types of problems so if we plug a 5 back in for k in the original proportion, we have [tex]\frac{(5)}{6}= \frac{15}{18}[/tex] which is a true statement since 15/18 reduces to 5/6.
x-2y divided by -z what’s the answer
Answer:
[tex]x (z) +2y/z[/tex]
hey I'm not sure but take a look on it ≧∇≦≧∇≦≧∇≦≧∇≦ฅ(๑*▽*๑)ฅ!!ฅ(๑*▽*๑)ฅ!!ฅ(๑*▽*๑)ฅ!!(´ε` )♡(ノ*>∀<)ノ♡(ノ*>∀<)ノ♡☜☆☞(┛❍ᴥ❍)┛彡┻━┻~♥~
gz/g + z, for g = 12 and z = 9
A. 5.14
B. 36
C. 9
D. 12
To solve this problem, we simply must plug in the values.
gz/g + z ⇒ [tex]\frac{12(9)}{12}[/tex] or 9.
When we plug in 12 for g and 9 for z, we will find that option C is correct.
Line L1 has the equation 3x-30y=y
Express the equation of L1 in the slope-intercept form
Answer:
[tex]y=\frac{3}{31} x[/tex]
Step-by-step explanation:
Written in: y = mx + b
Answer:
y = 3/31x
Step-by-step explanation:
Step 1: Add 30y to both sides
3x - 30y + 30y = y + 30y
3x = 31y
Step 1: Divide both sides by 31
3x / 31 = 31y / 31
y = 3/31x
Answer: y = 3/31x
I really need help but I keep getting my question taken down. Please help.
2. Draw a right triangle with side lengths of 3, 4, and 5 units (cm or inches – your choice). Make sure to label all parts including side lengths, vertices, and the right angle. You may insert an actual picture of your drawing below or upload the picture in the Unit 2 TGA submission area.
Answer:
See the figure attached.Explanation:
In a right triangle the longest side is the hypotenuse. In this case the length is 5 units.
The hypotenuse is opposite to the right angle.
You must draw a small square inside the right angle. In the figure the right angle is labeled C.
The other two sides are the legs: in this case their lengths are 3units and 4 units.
The side with the shortest length is opposite to the smallest angle; the side with the intermediate length is opposite to the angle with the intermediate measure.
The vertices are marked with capital letters. I used A, B, and C.
With this explanation you can understand the figure attached and build one on your own.
Answer:
My options of triangles
Please help with this question ¯\(°_o)/¯
|-1| < |-2|
third answer
When a negative number is in a pair of | |, it turns into a positive. Positive numbers stay the same.
Gina has been present at school for 40 of the first 45 days of the school year. The school year is 180 days long. If Gina continues to attend school at the same rate, how many days will she attend school during the school year?
The answer is going to be 160.
Answer:
158
Step-by-step explanation:
40 is about 88% of 45,
88% of 180 is 158.4,
I'm assuming you need whole days so that would be 158
X² – 4x – 12=0
solve by completing the square
Answer:
x = -2 0r x = 6
Step-by-step explanation:
from the question
X² – 4x – 12=0
solve by completing the square method
we have;
X² – 4x – 12=0
X² – 4x = 12
to make the left hand side a perfect square we add 4 to both sides.
X² -4x + 4 = 12 + 4
X² -4x + 4 = 16
from left hand side X² -4x + 4
= (x -2) × ( x -2)
it can be simply expressed as
( x-2)²
so since X² -4x + 4 has been simplified to be ( x-2)²
then,
( x-2)² = 16
x - 2 = √ 16
since square root has two values it can either be positive or negative
so we have
x = 2 + √16
or
x = 2 - √16
therefore
x = 2 + √16
x = 2 + 4
x = 6
0r
x = 2 - 4
x = -2
Answer:
-2,6
Step-by-step explanation:
John answered 80% of the questions correctly. There were 30 questions on the test. How many questions did John answer correctly?
Answer:
he got 24 right
Step-by-step explanation:
30 time 80% is 24
John answered 24 questions correctly out of 30 by answering 80% of the questions correctly.
To determine how many questions John answered correctly, we can use the information that he answered 80% of the 30 questions correctly. We can follow these steps to find the answer:
First, convert the percentage to a decimal. 80% becomes 0.80.Next, multiply the total number of questions (30) by the decimal (0.80):0.80 * 30 = 24
Therefore, John answered 24 questions correctly out of the 30 questions on the test.
Teds car is now worth 9000 which is 60% of what he paid for it . What did he pay for his car
Answer:? 5,400.
Step-by-step explanation:
Solve the following equation.
c/4 = 12
Answer:
48
Step-by-step explanation:
c÷4=12
4×c÷4=4×12
c=48
Simplify this algebraic expression completely 9x-6(x+4)
Step-by-step explanation:
9x-6(x+4)
9x-6x-24
3x-24
Answer: 3x-24
Step-by-step explanation:
Noah starts with 0 and then adds the number 5 four times. Diego starts with 1 and then multiplies by the number 5 four times. For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.
4 ⋅ 5
4 + 5
4^5
5^4
Answer:
4•5 is Noah's result, 4+5 is Neithers, 4^5 is Noah's result, and 5^4 is Diego's result
Step-by-step explanation:
I am just trying to help. I hope it works!
Diego's result is the same as Noah's result and that is 4 ⋅ 5, For each expression.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
given that,
Noah starts with 0 and then adds the number 5 four times.
i.e. we get,
Noah: 5+5+5+5=20
again, we have,
Diego starts with 1 and then multiplies by the number 5 four times.
i.e. we get,
Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20
so, we have,
that, For each expression, we get 20
we know,
20 = 4*5
i.e. 4 multiplied by 5.
Hence, Diego's result is the same as Noah's result and that is 4 ⋅ 5, For each expression.
To learn more on multiplication click:
brainly.com/question/5992872
#SPJ2
Round to the nearest percent
Answer:
79%
Step-by-step explanation:
Area of the square:
1 + 1 = 2
2 × 2 = 4
Square = 4 units^2
Area of the circle:
pi × 1^2
pi × 1
1pi
Square = 3.14 units^2
Let's find probability:
3.14 ÷ 4 = 0.785
0.785 × 100 = 78.5
There is a 78.5% chance of landing in the circle. This percentage can be rounded to 79%
What is the answer to this 20 / (20p ^ 2)
Answer: 20p
Step-by-step explanation:
20/(20p^2) evaluated the power of 2
20/400p divided 400/20
20p answer
Hope i could help i added step by step please give me brainliest
What is -2(w-5)+4w+3 simplified
Answer:
2w + 13
Step-by-step explanation:
Step 1: Distribute
-2(w - 5) + 4w + 3
-2w + 10 + 4w + 3
Step 2: Combine like terms
-2w + 10 + 4w + 3
2w + 13
Answer: 2w + 13
Savings Account You deposit $1800 into a savings account that
earns 2% interest compounded annually. Find the balance after
2 years.
The balance after 2 years will be $1872.72.
To find the balance after 2 years when you deposit $1800 into a savings account that earns 2% interest compounded annually, we can use the compound interest formula:
[tex]\[ A = P(1 + r)^n \][/tex]
Where:
- A is the amount of money accumulated after n years, including interest.
- P is the principal amount (the initial amount of money).
- r is the annual interest rate (expressed as a decimal).
- n is the number of years the money is deposited for.
Given:
[tex]- \( P = $1800 \)[/tex]
[tex]- \( r = 2\% = 0.02 \)[/tex] (expressed as a decimal)
[tex]- \( n = 2 \)[/tex] years
Plug these values into the formula and solve for A :
[tex]\[ A = 1800(1 + 0.02)^2 \][/tex]
[tex]\[ A = 1800(1.02)^2 \][/tex]
[tex]\[ A = 1800(1.0404) \][/tex]
[tex]\[ A = 1872.72 \][/tex]
28913 To the nearest thousand
Answer:
29000
Step-by-step explanation:
Nearest thousand means the thousand at which the digit is nearest to. Now in approximation, we round up numbers from 1 to 4, to Zero while numbers from 5 to 9 are rounded up to 1.
28913 is between thousand 28,000 and 29000.
And then to be rounded up to the nearest thousand, the digit 9, before the thousand digit 8, in the number 28913 will therefore will rounded up to 1 and added to the thousand digit 28.
We therefore have 29,000
On the Price Is Right game show, to get into the showcase at the end, contestants spin a wheel with 20 equally sized spaces, numbering 5 cents, 10 cents, 15 cents,and so on, up to $1.00. If the contestant spins once, find the probability of getting a $1
Multiply.
(5x - 2)2
A. 25x + 20x + 4
B. 25x2 - 4
C. 25x2 - 20x+ 4
D. 25x2 - 10x + 4
Answer:
Step-by-step explanation:
Factor using the perfect square rule.(5x−2)2
answer using factor
Answer: 25x2+40x+16
Step-by-step explanation:
What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12What is the solution to this system of equations? 4x + 5y = 7 3x – 2y = –12
The solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]
Explanation:
The system of equations are [tex]4 x+5 y=7[/tex] and [tex]3 x-2 y=-12[/tex]
To determine the solution of the equation, let us solve the equations by elimination method.
Thus, multiplying the equation [tex]4 x+5 y=7[/tex] by 2, we get, [tex]8x+10y=14[/tex]
Multiplying the equation [tex]3 x-2 y=-12[/tex] by 5, we get, [tex]15x-10y=-60[/tex]
Adding these two equations, we have,
[tex]\ \ 8x+10y=14\\15x-10y=-60\\---------\\23x=-46[/tex]
Dividing both sides by 23, we have,
[tex]\frac{23x}{23} =\frac{46}{23}[/tex]
[tex]x=-2[/tex]
Thus, the value of x is [tex]x=-2[/tex]
Substituting [tex]x=-2[/tex] in the equation [tex]4 x+5 y=7[/tex], we get,
[tex]4 (-2)+5 y=7[/tex]
[tex]-8+5 y=7[/tex]
[tex]5y=15[/tex]
[tex]y=3[/tex]
Thus, the value of y is [tex]y=3[/tex]
Hence, the solution of the system of equations is [tex]x=-2[/tex] and [tex]y=3[/tex]
The solution to the system of equations, is: (-2, 3).
Solution to System of EquationsTo find the solution, you can use the elimination method by first making both equations equivalent. Then add or subtract to eliminate a variable.
Given:
4x + 5y = 7 --> Eqn. 13x – 2y = –12 --> Eqn. 2Multiply eqn. 1 by 3 and eqn. 2 by 4:
12x + 15y = 21 --> Eqn. 1
12x – 8y = –48 --> Eqn. 2
Subtract:23y = 69
Divide both sides by 23y = 3
Substitute y = 3 into eqn. 1.
4x + 5(3) = 7
4x + 15 = 7
4x = 7 - 15
4x = -8
x = -2
Therefore, the solution to the system of equations, is: (-2, 3).
Learn more about the system of equations on:
https://brainly.com/question/13729904
Sandra budgets $580 each month for living expenses. She nets $1640 semimonthly.
What percent of her net monthly income does she budget for living expenses?
35%
24%
18%
16%
Answer:18%
Step-by-step explanation:
Sandra's Monthly budget on expenses for living expenses = $580
Sandra's semimonthly net = $1640
Sandra's monthly net = $1640 x 2 = $3280
The percent of her net monthly income that she budget on living expenses is:
= (Budget on living expenses / Monthly net) x 100
= (580 / 3280) x 100
= (0.176829) x 100
= 17.68% = 18% (approximately)
Answer:
18%
Step-by-step explanation:
In triangle ABC, AB = 8.9 m, Angle BAC = 90° and Angle ABC = 56°. H lies on BC such that AH
is perpendicular to BC. Find the length of
(i) AH
(ii) HC.
Please help me!! Thank you
Answer:
(i) The length of AH is 7.3784 m
(ii) The length of HC is 10.9389 m
Step-by-step explanation:
The sum of the angles ABC, BAC and ACB is 180º, hence, ACB = 180-90-56 = 34º. Note also that AH breaks the rectangle triangle ABC into 2 rectangle triangles AHB and AHC.
i) In AHB, AB is the hypotenuse, and the angle ABH is equal to ABC, hence it is 56º. AH is the opposite side of that angle and we know that
Sin(ABH) = opposite/hypotenuse = AH/8.9
Thus,
AH = 8.9*Sin(ABH) = 8.9*Sin(56º) = 7.3784 m
ii) In AHC, AH is also the opposite of the angle ACH (which meassures 34º), and HC is the adjacent of that angle (the hypotenuse is AC). As a result
Tan(ACH) = Tan(34º) = 0.6745 = opposite/adjacent = AH/HC = 7.3784/HC
Hence,
HC = 7.3785/0.6745 = 10.9389 m
Final answer:
AH = 8.9 m, HC = 0 m
Explanation:
Given that triangle ABC is right-angled at A, we can use trigonometry to find the lengths of AH and HC.
To find the length of AH, we can use the sine of angle BAC:
AH = AB * sin(BAC) = 8.9 * sin(90°) = 8.9
Since AH = 8.9 m, we can find the length of HC by subtracting AH from BC:
HC = BC - AH = 8.9 - 8.9 = 0 m
Write in simplest terms3.2x-5+4t(-7)
Answer:
-7(6 x t) *2
Step-by-step explanation:
A woman earns $ 1,350 in interest from two accounts in one year. If she has three times as much invested at 7% as she does at 6%, how much does she have in each account?
Answer:
The woman invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.
Step-by-step explanation:
We are given the following in the question:
Let x be the interest earned from 7% interest rate and y be the interest earned from 6% interest rate.
The woman invested has three times as much invested at 7% as she does at 6%.
Thus, we can write the equation:
[tex]x = 3y[/tex]
The total interest is $1,350.
Thus, we can write the equation:
[tex]1350 = \dfrac{7x}{100} + \dfrac{6y}{100}\\\\7x + 6y = 135000[/tex]
Solving the two equations by substitution method:
[tex]7(3y) + 6y = 135000\\27y = 135000\\y = 5000\\x = 3(5000) = 15000[/tex]
Thus, she invested $15,000 at 7% interest rate and $5,000 at 6% interest rate.
(I NEED THIS ANSWERED QUICKLY! I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!)
Rectangle ABCD is reflected about the x-axis.
What are the coordinates of vertex D’?
A. (-6, -8)
B. (6, -8)
C. (6, 8)
D. (-6, 8)
Answer:
Option D, (-6, 8)
Step-by-step explanation:
Since it is reflected across the x-axis, that means the y values flip their signs.
Since D was (-6, -8) flip the y value you get (-6, 8)
Answer: Option D, (-6, 8)
Answer:
D. (-6, 8)
Step-by-step explanation:
correct on EDGE
A cubic centimeter is the space taken by a square whose sides are 1
centimeter long.
O
A. True
SE3
B. False
SUBMIT
Answer:
False
Step-by-step explanation:
A cubic centimeter refers to a cube because it would be LWH (Lengeth * Width * Height) and if they were all one centimeter the volume would be 1 cubic centimeter. If it was a centimeter squared then it would be a square with 1 cm long sides.
Peter left his home in Chicago and drove to a town a few hours away. On the way there, he drove 40 mph due to traffic, but on the way back home, he drove 60 mph. What was his average speed?
Answer:
50 mph
Step-by-step explanation:
To calculate averages you add up all the items and divide by the total number of items there is.In this problem were 2 items so you divide it by 2
Add the two numbers
40+60=100
now just divide by 2 because there was 2 drives giving you 50 mph
Hope this helps!
:)
Six times a certain number is 12 more than four times the number. Find the number.
Answer:
6
Step-by-step explanation:
Let the number be A
Given 6 times A is 12+ (4 xA)
That’s
6 x A = 12 + 4A
6A = 12 + 4A
Subtract 4A from both sides
6A - 4A = 12 - 4A - 4A
2A = 12
Divide both sides by 2
A = 12/2
A = 6
The number is 6
hurry i need help plzzzz
Answer:
D. y = -x
Step-by-step explanation:
Hope this helps.
Brainliest...??
line Q passes through points (3,9) and ( 10,5) line R is perpendicular to Q what is the slope of
line R
Answer:
7/4
Step-by-step explanation:
The slope of Q is (9-5)/(3-10) = -4/7
Perpendicular lines' slopes are opposite reciprocals of eachother (so the +/- changes and then x/y becomes y/x).
This means the slope of R is 7/4
The required slope of line R will be 7/4.
What are the perpendicular lines?Perpendicular lines are two lines that cross one other and create a 90-degree angle.
Two lines are perpendicular if the product of their slopes is -1.
The line Q is given which passes through points (3,9) and ( 10,5)
Let
x₁ = 3, y₁ = 9
x₂ = 10, y₂ = 5
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in the formula
The slope of line Q will be:
m = (9-5)/(3-10)
m = -4/7
Since line R is perpendicular to Q, so the slope of line R will be
⇒ -1/m
⇒ -1/(-4/7)
Reciprocal the term in the denominator,
⇒ -1 × -7/4
Apply the multiplication operation, and we get
⇒ 7/4
Therefore, the required slope of line R will be 7/4.
Learn about the perpendicular lines here :
https://brainly.com/question/18271653
#SPJ5