Answer:There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?
Step-by-step explanation
There are 72 heads (chicken and rabbit) and 200 legs. How many chickens and rabbits are present totally?
Legs of a chicken = 2
Legs of a rabbit = 4
Total heads = 72
Total legs= 200
Let's assume that each of them has minimum 2 legs.
So 72*2 = 144 legs
Remaining legs: 200-144= 56
These remaining legs belong to rabbit because rabbit has 4 legs each.
2*Rabbits= 56
Rabbits= 56/2 = 28
Out of 72, 28 are rabbits. So there are 72-28= 44 chicken.
Suppose 15 Argus student ride the city bus to school. Out of a total of 220 students, what percent ride the city bus (round to nearest whole %)
Answer:
7%
Step-by-step explanation:
(15/220) x 100 = 6. 8182 = 7%
to convert to percentage multiply by 100
To convert to the nearest whole number, look at the first number after the decimal. If it is greater or equal to 5, add 1 to the number after the decimal. 8 is greater than 5, so add one to 6
In 2019, Chris made $142,000 as a dentist. Social Security tax was 6.2% to a maximum income of $132,900.
Medicare tax was 1.45% of all income. How much did Chris pay in FICA Taxes?
Type your answer
Answer: $10,298.80
Step-by-step explanation:
Chris made more than the limit required for the Social Security tax so his Social Security tax will be based on the maximum amount of $132,900.
His Social Security tax is therefore:
= 6.2% * 132,900
= $8,239.80
There are no limits for Medicare so Chris will pay taxes on the whole amount he earned of $ 142,000.
Medicare = 1.45% * 142,000
= $2,059
FICA tax = Social security + Medicare
= 8,239.80 + 2,059
= $10,298.80
Expand 2/3(x+12)
Expand -4/5(-x+25)
Answer:
2/3 x X + 2/3 x 12
-4/5 x -X + -4/5 x 25
I need help with this question
Answer:
a) 2.5 x 10^5
b) 8.1 x 10^4
c) 9.06 x 10^8
d) 1.034 x 10^10
help with question 1
Answer:
si=Ptr/100
and di solution
Rewrite the equation by completing the square.
x^2 - 4x + 3 = 0
Answer:
the answer would be x=3,1
Answer:
After completing the square, we can say:
(x - 2)² = 1
If we solve for x, this tells us that x has a value of both 1 and 3.
Step-by-step explanation:
Given:
x² - 4x + 3 = 0
We can complete the square by adding 1 to both sides:
x² - 4x + 4 = 1
(x - 2)² = 1
We can then solve for x by saying:
(x - 2)² = 1
x - 2 = √1
x = 2 ± 1
x = 1, 3
Solve the system below.
y = x2
y = –2x + 15
Answer:
since,
y = 2x and y = –2x + 15
then,
2x = –2x + 15
or, 4x = 15
or, x = 15/4
or, x = 3.75
Also,
y= 2x
= 2*3.75
= 7.5
Hope it helped
All the best!!
Answer:
Step-by-step explanation:
[tex]x^{2} = -2x^{2} +15[/tex]
add [tex]2x^{2}[/tex] to both sides
[tex]3x^{2} = 15[/tex]
divide each side by 3
[tex]x^{2} =5[/tex]
square root each side [tex]\sqrt{x^2} =\sqrt{5}[/tex]
[tex]x= 2.23606794[/tex] or rounded to the nearest hundredth [tex]x=2.24[/tex] or x = ±[tex]\sqrt{5}[/tex]
The lines shown below are parallel. If the green line has a slope of 5, what is
the slope of the red line?
A: -5
B: 5
C: -1/5
D: 1/5
Answer:
5
Step-by-step explanation:
For two lines to be parallel, they must have the same slope
since the slope of the green line is 5, the the red line will have the same slope as the green line,
The slope of the red line will therefore be 5
James spent 2/5 of his money and saved the rest.if he spent $630 how much money did he save
Step-by-step explanation:
James will reach the school first
(08.05 MC)
The quadratic functions f(x) and g(x) are described as follows:
f(x) = -8x? +7
g(x)
0
0
1
2
2
6
3
2
4
0
Which of the following statements best compares the maximum value of the two functions?
The maximum value is the same for both functions.
Of(x) has a greater maximum value than g(x).
O g(x) has a greater maximum value than f(x).
The maximum values cannot be determined.
Answer:
x=67
Step-by-step explanation:
The correct statement is,
(B) f(x) has a greater maximum value than g(x).
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Function f (x) is,
f (x) = - 8x² + 7
Now, First, we determine the maximum point of f(x).
f(x) is at maximum at the point of symmetry, i.e. where x = - b/a
Here, a = -8, b = 0
Hence, x = - 0 / - 8 = 0
So, We get;
f (0) = - 8 x 0 + 7 = 7
Thus,
The maximum point of f(x) is (0,7)
And, The maximum point of g(x) is (2,6)
Therefore, f(x) has a greater maximum value than g(x).
Hence3, The correct option is B.
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Use a percent proportion to find 25% of 350.
Answer:
7.142857143 or
[tex] \frac{50}{7} [/tex]
Step-by-step explanation:
100 ÷ 350 = .2857142857
.2857142857 × 25 = 7.142857143
Convert 27 ounces into grams.
Hint: 1 ounce=28.35 grams
Answer:
765.437 grams
Step-by-step explanation:
as 1 ounce =28.35g
so
27ounce=28.35×27
=765.437
Converting 27 ounces into grams is: 765.437grams.
Here, we have,
given that,
we have to Convert 27 ounces into grams.
we know that,
Since 1 ounce is equal to 28.35 grams.
so, we get,
1 ounce=28.35 grams
all we need to do is to multiply 27 by 28.35 grams.
i.e. 28.35×27 =765.437
The answer will be 765.437grams.
so, we get,
as 1 ounce =28.35g
so, 27ounce=28.35×27 =765.437g
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- The highest common factor of two numbers is 175.
The lowest common multiple of these two numbers
is 12 600.
Both numbers are greater than their highest
common factor.
Find the two numbers.
Answer:
1400, 1575
Step-by-step explanation:
Two number: 175x , 175y (x and y no more common factor)
LCM: 175xy = 12600
xy = 72
72: (1,72) (2,36) (3,24) (4,18) (6,12) (8,9) only (8,9) fit no common factor
Two number: 8*175 = 1400 9*175 = 1575
Please help will mark brainliest
Answer:
-19
Step-by-step explanation:
Answer:
-19
Step-by-step explanation:
Plz, mark me brainliest ;)
Leslie purchased a new bar of soap. Three days after she originally used
the soap, she was curious how much soap per day she was using. She
decide to weigh her soap and that the bar was 103 grams. Four day later
she re-measured the same bar of sop and record a weight of 80 grams.
Assuming that Leslie uses the same amount of soap daily (and that she
used soap daily), write an equation that shows that amount of soap
remaining after d days of use. *Hint: slope intercept form and you will
need the slope formula
Answer:
The equation is:
y= 103 --23d
Step-by-step explanation:
The initial amount was 103 grams.
After one day of use the remaining amount of soap was 80 grams.
So the amount of time he spent in one day was:
Each day Leslie spends 23 grams of soap.
if d represents the number of days elapsed then, the amount of soap "y" that Leslie spends after days is:
y= 103 --23d
The square below has an area of x^2-10x+25 square meters
what expression represents the length of one side of the square?
Answer:
Answer: Expression that represents the length of one side of the square is x - 5.
p−3=−4
Helppppp
Meeee
Plzzz
sorry i had the wrong answer...
The diagram shows a rectangle
Write 2.673 × 10^4 as an ordinary number
2.673 × 10^4 is a scientific number, and the number as an ordinary number is 26730
How to rewrite the number?The number in scientific form is given as:
2.673 × 10^4
Express 10^4 as 10000
2.673 × 10^4 = 2.673 × 10000
Evaluate the product
2.673 × 10^4 = 26730
Hence, 2.673 × 10^4 as an ordinary number is 26730
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find the unknown side length x right here answer in simplest radical form
A.2√41
B.4√29
C.48
D.58
Answer:
D .58
Step-by-step explanation:
i got it right on edg
Answer:
58!
Step-by-step explanation:
PLEASE HELP WILL GIVE OUT BRAINLEYST
MATHH PEOPLE HELP
Answer its 82 i added the cm
At 9AM a train traveling 60 miles per hour leaves Los Angeles for San Francisco, a distance of 400 miles. At noon a car traveling at an average speed of 40 miles per hour leaves San Francisco for Los Angeles. At what time will the two vehicles pass each other?
ANSWER PLS
Answer is in the picture:
At 2:02 PM the two vehicles pass each other.
What is the speed?The speed formula can be defined as the rate at which an object covers some distance. Speed can be measured as the distance travelled by a body in a given period of time. The SI unit of speed is m/s.
Given thta,
Los Angeles to San Francisco:
rate = 60 mph ; distance = x miles ; time = d/r = x/60 hrs
San Francisco to Los Angeles:
rate = 40 mph ; distance = 400-x ; time = d/r = (400-x)/40 hrs
So, equation is
x/60 = (400-x)/40 + 3
x/60 = (400-x)+120/40
40x = 60[(400-x)+120]
40x=24000-60x+7200
100x=31200
x=312 miles
Now, time = 312/60
= 5.2 hours
Clock time = 9+5.2
= 14.2 hours
= 2:02 PM
Therefore, at 2:02 PM the two vehicles pass each other.
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A type of fish for your aquarium costs $9 each. You can spend at most $45. How many
of these fish can you buy? Write an inequality to model the problem. Then solve the
inequality to find the number of fish.
Hello, I need help don't answer the first 3
Answer:
5. all relations are a function
6. number 4 is not a function
7. 4 is not a function
8. all are functions
9.c
10. x-2=y
11. 2/3
Step-by-step explanation:
Given that rectangle MNOP ~ rectangle STUV, what is the length of ¯¯¯¯¯¯ T U ?Rectangle M N O P is shown with segment N O labeled 10 and segment O P labeled 4. rectangle S T U V is shown with segment T U labeled x and segment U V labeled 6
Answer:
[tex]TU = 15[/tex]
Step-by-step explanation:
Given
[tex]\square MNOP \simeq\ \square STUV[/tex]
[tex]NO = 10[/tex]
[tex]OP = 4[/tex]
[tex]TU = x[/tex]
[tex]UV = 6[/tex]
Required
Determine the length of TU (i.e. x)
Because both shapes are similar, then the following equivalent ratios exist:
[tex]NO : OP = TU : UV[/tex]
Substitute values for NO, OP, TU and UV
[tex]10 : 4 = x : 6[/tex]
Represent as fraction
[tex]\frac{10 }{ 4 } = \frac{x }{ 6}[/tex]
Multiply both sides by 6
[tex]6 * \frac{10 }{ 4 } = \frac{x }{ 6} * 6[/tex]
[tex]6 * \frac{10 }{ 4 } = x[/tex]
[tex]x = 6 * \frac{10 }{ 4 }[/tex]
[tex]x = \frac{60 }{ 4 }[/tex]
[tex]x = 15[/tex]
Hence:
[tex]TU = 15[/tex]
plzz help ASAPPPP
i need answers right now!!1
Answer:
ydyeheuuru u ieuegeoeororpe
Please help me now ASAP PLEASE!
Answer:
What does "Brainlest" mean?
Step-by-step explanation:
ABCD TSVU find the value of Y
Answer:
The value of y = 7.5 and the scale factor is 2/3.
Step-by-step explanation:
To get the scale factor, let's get the ratio of 17 to 25
[tex] \frac{17}{25.5} = \frac{2}{3} [/tex]
To check if 17 really is the 2/3 of 25.5
[tex]17 = \frac{2}{3} \times 25.5 \\ 17 = \frac{51}{3} \\ 17 = 17[/tex]
Therefore, if 17 is the 2/3 of 25.5, then the line (3y-3.5) is also the 2/3 of (3y+6).
[tex]3y - 3.5 = \frac{2}{3} (3y + 6) \\ 3(3y - 3.5) = 2(3y + 6) \\ 9y - 10.5 = 6y + 12 \\ 9y - 6y = 12 + 10.5 \\ 3y = 22.5 \\ y = 7.5[/tex]
Which of the following equation have no solutions?
A. -4x + 5 = -4x - 5.
B. 4x + 5 = -4x + 5
C. 5x + 5 = -4x - 5
D. -4x + 5 = -4x - 4
Answer:
A,
Step-by-step explanation:
Hey There. Your Answers Are A. And D.
Step-by-step explanation:
Whats the opposite of 8x
Answer:
-8x
Step-by-step explanation:
Answer:
x/8
Step-by-step explanation:
To find the inverse, interchange the variables and solve for y.