Answer:
a : b = 4 : 3
Step-by-step explanation:
(mark as brainlist answer)
According to the given condition is the question :
Two numbers a and b are such that the sum of 5% of a and 4% of b is two-third of the sum of 6% of a and 8% of b
⇒ (5% of a) + (4% of b) = (2/3) × [(6% of a) + (8% of b)
⇒ 0.05a + 0.04b = 2/3 × (0.06a + 0.08b)
⇒ 0.15a + 0.12b = 0.12a + 0.16b
⇒ 0.03a = 0.04b
⇒ a/b = 4/3
⇒ a : b = 4 : 3
Carlos found 6 pounds of gold coins! He divided the coins into pound bags. How many bags of coins does he have?
Answer:
6
Step-by-step explanation:
6/1=6
What is the value of x 3x 2x 55
Answer:
25
Step-by-step explanation:
3x+2x+55=180
5x+55=180
5x=180-55
5x=125
X=125/5
X=25
So the value of X is 25
Calculating income with Commission
A salesperson earns $600 per month plus a commission of 20% of sales. Find the minimum amount of sales need to receive a total income of at least $1500 per month.
Answer:
$4500Step-by-step explanation:
Step one:
given data
monthly earning= $600
commission =20%= 0.2
let the number of sales be x
and the total earnings be y
Hence the expression for the earnings is given as
y=0.2x+600
Step two:
Required:
the value of x. when y=$1500
1500=0.2x+600
1500-600=0.2x
900=0.2x
divide both sides by 0.2
x=900/0.2
x=4500
The minimum amount of sales need is $4500
Just the image below.
Answer:
1) 2x^3-2x^2+4x+20
Step-by-step explanation:
line up the equations, having each variable aligned with the similar variable, and distribute the minus sign across the parenthesis
7x^3 + 4x + 13
-(5x^3 + 2x^2 - 7)
---------------------------------
2x^3 - 2x^2 +4x +20
what is the sum of 1 and another 1
Answer:
1+1=2
Step-by-step explanation:
Answer:2jk
itts3
Step-by-step explanation:
1+1=3
The sum of two positive numbers is 37, and their difference is 7. If x and y represent the unknown numbers, which two
equations belong to the system of equations that represents this situation?
Answer:
C & D. check the image just in case the order changes
Step-by-step explanation:
A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The sum of the two positive numbers is 37, and their difference is 7.
Let x and y be the numbers:
x > 0 and y > 0
x + y =37
x - y = 7
The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.
After solving the above equation by elimination method:
2x = 44
x = 22
22 - y = 7
y = 22 - 7
y = 15
Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ5
Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probability that a randomly selected book has less than 168 pages if the mean is 192 pages and the standard deviation is 24 pages? Use the empirical rule. Enter your answer as a percent rounded to two decimal places if necessary.
Answer:
The answer is "Thus a chosen random book has a 15.87% chance of fewer than 170 pages".
Step-by-step explanation:
[tex]Mean = 190\\\\\text{Standard devaition} \ \sigma= 20\\\\\to P(\bar{x}<70)\\\\Z = \frac{(170-190)}{20}[/tex]
[tex]= \frac{-20}{20} \\\\=-1[/tex]
It found a p-value from its empirical rule:
[tex]\to P(\bar{x}<170) = 0.1587[/tex]
help brainliest will be given 8 only
Answer:
a)37
b)10
c)0 beacuse if there 11 then they would be speeding and also if it wrond try 10
d)28.571428571429%Step-by-step explanation:
In 2008, the price of gasoline was $2.79 per gallon. In 2009, the price of gasoline was
$3.79 per gallon. What is the percent of increased in the price of gasoline, rounded to
the nearest whole percent? Type in your number with NO decimals and a % after the number.
Answer:
36%
Step-by-step explanation:
line up $ and % data like this:
$2.79 represents 100%
$3.79 represents X%
cross multiply
X*2.79 = 3.79*100
divide both sides by 2.79
X= 3.79*100 / 2.79 ≈ 136%
so it increased 36%
$9000 was borrowed from two sources, one that charges 20% simple interest and the other that charges 5% simple interest. If the total interest at the end of 1 year was $1500, how much money was borrowed from each source?
Answer:
The amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.
Step-by-step explanation:
Let x represents the amount borrowed at 20% simple interest.
Let y represents the amount borrowed at 5% simple interest.
Therefore, the amount borrowed at 5% simple interest will be:
y = 9000 - x ........................... (1)
As a result, we will have:
20%x = interest at the end of 1 year from the amount borrowed at 20% simple interest
5% * (9000 - x) = 450 - 5%x = interest at the end of 1 year from the amount borrowed at 5% simple interest
Since the total interest at the end of 1 year was $1500, we have:
20%x + 450 - 5%x = 1500
We can now solve for x as follows:
20%x - 5%x = 1500 - 450
15%x = 1050
x = 1050 / 15%
x = 7000
Substituting x = 7000 into equation (1), we have:
y = 9000 - 7000
y = 2000
Therefore, the amount borrowed at 20% simple interest was $7,000, while the amount borrowed at 5% simple interest was $2,000.
What is the value of x ?
Answer:
5 units
Step-by-step explanation:
BD is geometric mean ⇒ BD² = AD × DC
4x² = 10² and x > 0
x² = 25
x = 5 units
8. Rectangles AFGE and A B C D are similar; FG = 4 centimeters, EG = 6 centimeters
centimeters.
AC
15 cm
4 cm
G
6 cm
E
D
What is the length of BC in centimeters?
Answer:
14
Step-by-step explanation:
i got it right and you can tell that they are almost the same size.
William has 90 to spend on juice boxes for a preschool picnic. Each juice box cost 2.51 what is the maximum number her can buy
Answer:
35 x 2.51 = 87.85
36 x 2.51 = 90.36
If he cannot spend more than 90 than the maximum amount he can afford is 35.
Step-by-step explanation:
Answer: 35.8565737052
Help! pictures are attached
y+x2÷2 when x=4 and y=−3.
Answer:
The answer is 1.
Step-by-step explanation:
Plug in the values to make the equation -3+4*2/2
According to the order of operations, you should multiply what you can first.
so 4*2 = 8
Then 8 divided by 2 = 8/2=4
Then -3+4=1
Answer:
5
Step-by-step explanation:
y + x²÷2 when x=4 and y=-3
-3 + 4² ÷ 2
-3 + 16 ÷ 2
-3 + 8
5
I hoped this helped :)
What is the slope between the points (5,-4) and (-3,4)
-1
4
0
1
Answer:
The answer is -1.
Step-by-step explanation:
You have to apply gradient formula :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
So you will have to substitute the coordinates into the equation. Let (x1,y1) be (-3,4) and (x2,y2) be (5,-4) :
[tex] m = \frac{ - 4 - 4}{5 - ( - 3)} [/tex]
[tex]m = \frac{ - 8}{8} [/tex]
[tex]m = - 1[/tex]
you purcharse 3 items for 4.23 about how much did you spend ?
Answer:
$12.69
Step-by-step explanation:
3 times 4.23=12.96
Answer:
$12.69
Step-by-step explanation:
you would multiply 4.23 by 3
hope this helps
Thanks for the help ;)
Answer:
A.
Step-by-step explanation:
Answer: 75 per month
Step-by-step explanation:
A country clerk has given amount of money to budget for cultural events
Based on the scattplot , what does the point (0.18) represent
A.the total amount of the budget given to the country
B.the total amount of the budget spent after 18 months
C.the average amount spent out of the udget each month
D.the predicted amount of time after which the entire budget will. e spent
Answer:
A. the total amount of the budget given to the country
Step-by-step explanation:
In order to know the answer, you have to check what the y-axis represents. In the graph above, it represents the "Budget Remaining," which is expressed in thousands of dollars. On the other hand, the x-axis represents the "Time," which is expressed in months.
Point (0,18) shows the total amount of the budget for the Cultural Events in the country. It starts at 18,000 dollars and decreases as months pass by. This is shown by the graph's "negative slope." This means that as the number of months increases, the amount of money decreases.
Find the lcm of 300,400 and 500
Before the election, you want to determine the number of possible president/vice-president combinations for the honor society you belong to. If both positions are chosen from ten people, how many combinations are possible?
90. For the first position,you can have one of 10 ppl in president/vice president. Then the remaining 9 ppl can be put in the remaining position. 10 * 9 = 90. If you need more explantion check these keywords. Factorial, permutations, combinations.
Do you guys know this?
Answer:
3
Step-by-step explanation:
You solve the inner first, then move to the outer.
Let's look at g(3) first. It is stated in the problem that g(3) = 2.
We then use this value for f(x). It is stated in the problem that f(2) = 3.
The answer is 3.
which expression is equivalent to (-60) divided by 5?
Answer:
Step-by-step explanation:
No choices are listed.
But -60 divided by 5 is -12
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$60.00
5%
?
The sales tax is $
Answer:
$3
Step-by-step explanation
do 5% of 60 which would equal $3
Use the distributive property to identify the equivalent expression.
8x + 10
Answer:
36
Step-by-step explanation:
8squared+10=18
18x2=36
Answer:
ummmmmmmmmmmmmmmmmmmmmmmm
Bill earned $10.00 per hour he worked 40 hours at regular rate , 8hours at a time and a half and 8hours double time compute the total wage
Answer:
Total wage= $680
Step-by-step explanation:
Giving the following information:
Regular wage= $10
One and a half= $15
Double= $20
To calculate the total wage, we need to use the following formula:
Total wage= x*10 + y*15 + z*20
x= normal hours
y=one and a half hours
z= double hours
Total wage= 40*10 + 8*15 + 8*20
Total wage= $680
Answer:680
Step-by-step explanation:
a = 1/3, b = 9, c = 5, and d = 10.
12a + c - b
Answer:
The equation equals 0
Step-by-step explanation:
12 ( 1/3 ) + 5 - 9
4 + 5 - 9
9 - 9
= 0
Can someone help me with these three math problems pleaseeeeeeeeeee
Answer:
75 should be the answer
(Car repair) The bill including parts and labor for the repair of your car is shown. From what is given, can you determine how many hours were spent on labor ? Explain.
Answer:
2.25 hours or 2 hours and 15 minutes
Step-by-step explanation:
Using the information from the bill shown in the question we can determine the number of hours spent by first subtracting the amount of money spent on parts from the overall total, which would leave us with the total amount spent on labor. Now we would simply divide this by $44 which is how much each hour of labor costs. Finally, this would leave us with the total number of hours of labor that the mechanic put into the car repair.
$384 - $285 = $99
$99 / 44 = 2.25 hours or 2 hours and 15 minutes (0.25 * 60 minutes)
Suppose your normal body temperature is 98 3/5 degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday?
Answer:
can you help me if I help you plz