Answer:
0.01775
Step-by-step explanation:
A local daycare has a daily operating cost of $900 plus a cost of $250 per child that attend. If a parent pays $420 per child, which inequality could be used to determine the number of children, c, they must accept to make money and become profitable?
a. 450c < 900+ 250c
b. 250c > 900+450c
c. 450c > 900 + 250c
d. 250c < 900 + 450c
450c > 900 + 250c;
For business to be profitable;
Selling price of daycare services > Cost price;
Payment for daycare of 1 child = $450
Payment for daycare of 'c' children = $450 × c;
= $450c;
Operating cost for 1 child = $250;
Operating cost for 'c' children = $250c;
Total daily operating cost = $900 + $250c;
Therefore;
450c > 900 + 250c;
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please help me w this
To solve this problem we need to be aware of the concepts of angles in a circle. Also we need to know what is a major angle and what is a minor angle.
That major part of an angle is equal to (360-minor part of the angle).
We know the total angle in a circle is 360°.
Here, ∠SKL=120+2x; ∠JKS=28° and ∠JKL=x+148.
Sum of all the angles will give us 360°.
According to question,
∠SKL+∠JKS+∠JKL=360°
⇒(120+2x)°+28°+(x+148)°=360°
⇒3x+296°=360°
⇒3x=360°-296°
⇒x=[tex]\frac{64}{3}[/tex]
∴ x=21.3
Hence, the value of x is 21.3 in the given problem.
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What is the solution to this equation
2(40-5y)=10y+5(1-y)
Answer:
The Answer is y=5.
Step-by-step explanation:
Firstly, multiply what is outside of the parentheses into the parentheses.
2(40-5y)=10y+5(1-y) --> 80-10y=10y+5-5y
Combine like terms
80-10y=5y+5
Add 10y
80=15y+5
Subtract 5
75=15y
Divide by 15
y=5
The solution to the equation is 5.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
2(40-5y)=10y+5(1-y)
Now, solving
80 - 10y = 10y + 5 - 5y
80 - 5 = 10y - 5y + 10y
75 = 20y- 5y
75 = 15y
y= 75/15
y= 5
Hence, the solution is 5.
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Determine if the following radical expression is a real number. If it is, you are to evaluate the expression.
3√-27
Answer
Selecting an option will display any text boxes needed to complete your answer.
Real Number
O Not a Real Number
Perform the indicated operation
7 1/8 ∙ 5 2/3
Simplify 2.67 + (−8.9).
Answer:
-6.23 is the answer
HOPE IT'S HELPS YOUAnswer:
-6.23
Step-by-step explanation:
The solution will be,
→ 2.67 + (−8.9)
→ 2.67 - 8.9
→ -6.23
So, the answer is -6.23.
is 4/5 equivalent to 16/20
Answer:
yes
Step-by-step explanation:
you have to divide by the top and bottom to get the answer to the lowest number
Answer:
yes
Step-by-step explanation:
Check by changing to a common denominator
A formula for the normal systolic blood pressure for a man age A , measured in mmHg, is given as P=0.006A2−0.02A+120 . Find the age of a man whose normal blood pressure measures 124 mmHg.
Answer:
27.5 years old
Step-by-step explanation:
We are given the formula: [tex]P=0.006A^{2} -0.02A+120[/tex] relating a patient's pressure to age.
We are also given the value for pressure (P) as 124 mmHg and need to find age (A). In order to do this, we can substitute the value 124 for P in the equation and solve the quadratic equation to obtain A:
[tex]124=0.006A^{2} -0.02A+120[/tex]
1. Set equation to 0 by subtracting 124 from both sides:
[tex]124-124=0.006A^{2} -0.02A+120-124\\= > 0.006A^{2} -0.02A-4=0[/tex]
2. Solve equation using a calculator:
It should give the solutions: [tex]A= 27.54, -24.2[/tex]
It doesn't really make sense for someone's age to be negative, therefore we can accept the positive solution as our answer.
The man whose normal blood pressure measures 124 mmHg is 27.5 years old.
Hope this helped!
solve for b r=9(b+a)
The product of a number x and 0.28 is 13.44 which equation matches this statement
Answer:
x · 0.28 = 13.44
Equation: X multiplied by 0.28 = 13.44.
How to solve: Divide 13.44 ÷ 0.28 = 48.
Multiply to check. 48 x 0.28 = 13.44.
Give me a crown.
The table shows the side lengths and perimeters of four squares.
Side Length (x)
Perimeter (y)
4.5
18
8.5
34
10.25
41
13.75
55
Which equation represents the relationship between the side length, x, and the perimeter, y?
y = one-fourth x
y = 4x
y = x + 13.5
y = x – 13.5
Answer:
12 ×13.5 y 13.5
Step-by-step explanation:
es igual a 400
Answer:
y=4x
Step-by-step explanation:
Three friends want to buy a DVD that costs $17.49, including tax. The friends agree to pay an equal amount. Each friend will pay??
help meee!!!!
Answer:
5.83
Step-by-step explanation:
You just divide the total amount by 3
Answer:
Each will pay $5.83
Step-by-step explanation:
Find the midpoint of the segment with endpoints (9,3) and (6,-7)
Answer:
(7.5, -2)
Step-by-step explanation:
Label the coordinates(x₁,y₁) and (x₂,y₂)
Input the values into the formula (x₁ + x₂)/2, (y₁ + y₂)/2
Add the values in the parentheses and divide each result by 2
There are 2 triangles and 8 circles. What is the simplest ratio of triangles to total shapes?
Answer:
1 : 5
Step-by-step explanation:
Circles + Triangles = Total shapes
8 + 2 = 10
Number of triangles : Total shapes
2 : 10
Both can be divided(simplified) by 2
= 1 : 5
Hope this helped! ^^
Find f(a + 7).
f(x) = x² + 5
hi
f(a+7)
f(x) =x²+5
by remplacing X by (a+7) :
then f(a+7) = (a+7)²+5
= a² +2*a*7 +49 +5
= a² +14a +54
Find an equation of a line that is perpendicular to 5X minus Y equals one and is located search that the area of the triangle formed by this line in the ex and Y axis is equal to five
The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.
What is an equation of a line?The set of points that make up a line in a coordinate system are represented algebraically by a line's equation.The slope of the line and a point on the line can be used to create the equation of a line.The slope of the line, which can be stated as a numeric integer, fraction, or tangent of the angle it forms with the positive x-axis, is the line's inclination with respect to the positive x-axis. The coordinate system's point with the x coordinate and the y coordinate is referred to as the point.Given Line : 5x - y = 1
slope of line = [tex]\frac{-5}{-1}[/tex] = 5
product of slopes of two perpendicular lines is - 1.
m₁ × 5 = -1
slope of required line m₁ = [tex]\frac{-1}{5}[/tex]
Let the equation of the required line be
y = mx + c where m is slope
y = [tex]\frac{-x}{5}[/tex] + c
Area of the triangle formed by a line with intercepts a,b = [tex]\frac{1}{2} ab[/tex]
Here, x-intercept = 5c
y-intercept = c
Area of triangle = [tex]\frac{1}{2} (5c)(c)[/tex]
=[tex]\frac{5c^{2} }{2}[/tex]
Given area = 5
⇒ [tex]\frac{5c^{2} }{2}[/tex] = 5
⇒ c² = 2
⇒ c = ±√2
Hence, The equation of a line is y = [tex]\frac{-x}{5}[/tex] ± √2.
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Amelia went on a walk that was miles long. She stopped to have lunch
15
4
when she had walked of the way.
12
25
How far, in miles, did Amelia walk before lunch?
Give your answer as a fraction in its simplest form.
4
Amelia went on a walk that was, She stopped to have lunch [tex]\frac{15}{4}[/tex] miles
when she had walked of the way [tex]\frac{12}{25}[/tex] miles. Amelia walk before lunch in
[tex]\frac{3}{25}[/tex] miles.
What do you mean by miles?The mile is a customary unit of measurement in the United States and the United Kingdom that is based on the older English unit of length equal to 5,280 English feet, or 1,760 yards. It is often referred to as the international mile or statute mile to distinguish it from other miles. In 1959, the statute mile was formally redefined with respect to SI units as precisely 1,609.344 meters. This resulted in a standardization of the statute mile between the British Commonwealth and the United States.
The unqualified term "mile" is typically understood to refer to the current international mile. The international mile may also be referred to as a land mile or a statute mile when it has to be distinguished from nautical mile.
The term "statute mile" in British English can apply to either the current international mile or any other variation of the English mile since the 1593 Act of Parliament, which established it as 1,760 yards. However, in American law, a statute mile is equivalent to a US survey mile. If it is obvious from the context, as in a discussion of the 2nd-century Antonine Itinerary that the distances are described in terms of miles rather than Roman miles, the qualifier to describe the type of mile being used may be omitted. Foreign and historical units that are translated into English as miles typically employ a qualifier to describe the kind of mile being used.
Now from the above given question:
She stopped to have lunch in [tex]\frac{15}{4}[/tex] miles
She had walked of the way in [tex]\frac{12}{25}[/tex] miles
[tex]\frac{15}{4}-\frac{12}{25} = \frac{60}{100}- \frac{48}{100} = \frac{12}{100}[/tex][tex]=\frac{3}{25}[/tex].
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The difference between two numbers is 2811.
The bigger number is 4200.
What is the smaller number?
The smaller number is 1389. We get this by using the technique of subtracting the bigger from the smaller number and equate it to the difference product.
Given the difference between two numbers is 2811.
The bigger number is 4200.
The smaller number is = ?
let the smaller number be 'x'
as the statement says difference between two numbers = 2811
Subtract the largest number from the smallest number to determine the difference between two integers. This sum is a product, and the difference between the two values is the product.
⇒ bigger number ₋ smaller number = 2811
⇒ 4200 ₋ x = 2811
⇒ ₋ x = 2811 ₋ 4200
⇒ ₋ x = ₋ 1389
cancel the negative sign from both sides.
x = 1389
hence we get the smaller number as 1389.
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What is the missing number in the table below in 3 5 8 15 out 9 11 14
Lucia walked of the length of the Tremont Trail before
stopping for a rest. How far had Lucía walked on the trail?
Linda had walked 2 5/8 miles or 2.625 miles on the Tremont trail
We are told in the question that
Linda walked 3/4 of the length of the Tremont Trail before stopping for a rest.
From the question, the length of the Tremont Trail = 3 1/2 miles
Hence, the distance (how far )Linda has walked =
3/4 of 3 1/2 miles
= 3/4 × 3 1/2 miles
= 3/4 × 7/2 miles
= 21/8 miles
= 2 5/8 miles or 2.625 miles
Therefore, Linda had walked 2 5/8 miles or 2.625 miles on the Tremont trail.
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Use inductive reasoning to predict the next line in this sequence of computations. Then use a calculator or perform the arithmetic by hand to determine whether your conjecture is correct.
9*9+7=88
98*9+6=888
987*9+5=8888
9876*9+4=88888
Make a conjecture by predicting the correct numbers in the line below.
blank * 9 +3 =
The number predicted is 98765 and using calculator gives 888888 which confirms it is correct.
Given data
9*9+7=88
98*9+6=888
987*9+5=8888
9876*9+4=88888
How to predict the correct numbersUsing inductive reasoning and the given data as the premise we can see that the number multiplying 9 is gotten by adding a new digit which is a lesser digit of the preceding number while counting backwards.
Using the last operation as instance we have that
9876*9+4=88888
the last digit that joined is 6, and this number is the next digit after 7 while counting backwards. Also the number 4 added is the next after 5 while counting backwards.
so we can predict the next row by counting backwards in the two occasions as follows:
counting backwards after 6 is 5 therefore we have 98765
counting backwards after 4 is 3 therefore we have 3
arranging the numbers into row gives
98765 * 9 + 3
adding with a calculator gives
98765 * 9 + 3 = 888888
The number predicted is 98765
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The number of students at Jefferson School is even.
The number has three digits.
The digit in the tens place is 4.
Write three numbers that could be how many students
there are at Jefferson School.
school
There are a total of 36 possible answers in digit .
What is digits in math?
A digit is a part of a set that, when taken as a whole, makes up a numeration system. A digit is a number in that particular circumstance. The members of the set 0 through 9 make up the digits of the decimal (base-10) Arabic numbering system.Let's assign three blanks for each digit of the unknown number. But let's fill in the tens digit because it is already specified.
_ 4 _
The last digit should be even to make it even. The possible digits for this are 2, 4, 6, and 8. The first digit could be any digit from 1 to 9. Therefore, the possible answers are
142 242 342 442 542 642 742 842 942
144 244 344 444 544 644 744 844 944
146 246 346 446 546 646 746 846 946
148 248 348 448 548 648 748 848 948
Therefore, there are a total of 36 possible answers.
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Whats 21 - 20 x 2? (Hint: the most used number and the last number)
Answer:
-19Step-by-step explanation:
Whats 21 - 20 x 2?
remember PEMDAS21 - 20 x 2 =
21 - 40 =
-19
refer to the number line. find the coordinate of point C that is 7/8 of the distance from m to j. m = 2 , j=18
The coordinate of point C that is 7/8 of the distance is 14
How to find the coordinate of point C that is 7/8 of the distance?The given parameters are
C =7/8 from m to j
While the points are
M = 2
J = 18
The coordinate of point C that is 7/8 of the distance is calculated as
C = 7/8 * (J - M)
This gives
C = 7/8 * (18 - 2)
Evaluate
C = 14
Hence, the coordinate of point C that is 7/8 of the distance is 14
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what does 8+100-(7)/1^2 equal
Answer:
101
Step-by-step explanation:
What is the factored form of x2−9
Answer:
(x+3)(x-3)
Step-by-step explanation:
When factoring x^2-9 you'd look for square multiples of -9.
Because 3×3 is 9, 3 is your square. You can't just use (x+3) because your outcome is a -9. Which is why your answer would be (x+3)(x-3)
A married couple filing jointly has a taxable income of $75,000. How much will they pay in federal
income taxes?
O $8612
O $6672
O $9000
O $7500
The amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.
What is income tax?Income tax is the compulsory obligation a taxpayer must remit to the IRS for each fiscal year based on the taxpayer's taxable income.
The tax rate based on the filer's tax bracket is applied to the taxable income to determine the tax payable.
Using the graduated system, of the $75,000, the first $20,550 is taxed at 10%, which gives $2,055. That leaves $54,450 in income. The next portion of the taxable income from $20,550 to $83,550 is taxed at 12%. This means $54,450 is getting taxed at 12%, which gives $6,534. The total tax due is $8,589, which averages $9,000.
Data and Calculations:Taxable income = $75,000
Tax bracket = 12%
Tax liability = $9,000 ($75,000 x 12%)
Tax Rates for married couples filing jointly are as follows:
10% tax rate for income between $0 and $20,550
12% tax rate for income between $20,551 and $83,550
22% tax rate for income between $83,551 and $178,150
24% tax rate for income between $178,151 and $340,100
32% tax rate for income between $340,101 and $431,900
35% tax rate for income between $431,901 and $647,850
37% tax rate for income of $647,851 or more
Thus, the amount that the married couple filing jointly would pay in federal income taxes is C. $9,000.
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2 5/8 divided by 2 1/4
hi
2* 5/8 = 10/8 = 5*2 /4*2 = 5/4
and 2*1/4 = 1/2
so : 2*5/8 / 2/4 = 5/4 / 1/2 = 5/4 * 2/1 = 5*2 / 2*2*1 = 5/2
Answer:
[tex]=1\frac{1}{6}[/tex] or 7/6
Step-by-step explanation:
[tex]=\frac{21}{8}\div \frac{9}{4}[/tex] <- Convert to improper fraction
[tex]=\frac{21}{8}\times \frac{4}{9}[/tex] <- Fraction Rule
[tex]=\frac{84}{72}[/tex]
[tex]=\frac{7}{6}[/tex]
[tex]=1\frac{1}{6}[/tex]
one cubic foot holds 7.48 gallons of water and one gallon of water 8.33 pounds. How much does 5.1 cubic ft of water weigh in pounds? In tons?
The 5.1 cubic ft of water weighs 317.77 pounds
The weight of 5.1 cubic ft of water in tons is 0.16 tons
Calculating weightFrom the question, we are to calculate how much 5.1 cubic ft of water weigh in pounds
From the given information,
"one cubic foot holds 7.48 gallons of water"
Therefore,
5.1 cubic ft of water = 5.1 × 7.48 gallons of water
= 38.148 gallons of water
Also,
"one gallon of water 8.33 pounds"
That is,
38.148 gallons of water = 38.148 × 8.33 pounds
= 317.77 pounds
Thus, 5.1 cubic ft of water weigh 317.77 pounds
For the weight in tons
NOTE: 1 pounds = 0.0005 tons
∴ 317.77 pounds = 0.0005 × 317.77 tons
= 0.158886 tons
≈ 0.16 tons
Hence, the weight of 5.1 cubic ft of water in tons is 0.16 tons
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Write the ordered pair for each
letter on the graph
The ordered pairs are;
A (2, 4)
B ( -1, 2 ) ,
C (-3, -2) ,
D (2, 0) ,
E ( 0, -4 )
F ( 5, -4 )
What is Coordinate?
A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Now, To find ordered pairs we can count the number of intervals on horizontal and vertical lines.
Horizontal line gives the coordinate of x - axis and vertical line gives the coordinate of y - axis.
So, To find ordered pairs as;
We start at the origin ( where the axis cross).
The point A move 2 units to the right and 4 units up.
So, The ordered pair of A is;
⇒ A (2, 4)
The point B move 1 units to the left and 2 units up.
So, The ordered pair of B is;
B ( -1, 2 ) ,
The point C move 3 units to the left and 2 units down.
So, The ordered pair of C is;
C (-3, -2) ,
The point D move 2 units to the right and on x - axis.
So, The ordered pair of D is;
D (2, 0) ,
The point E on y- axis and move 4 down.
So, The ordered pair of E is;
E ( 0, -4 )
The point F move 5 units to the right and 4 units down.
So, The ordered pair of F is;
F ( 5, -4 )
Therefore, The ordered pairs are;
A = (2, 4)
B = ( -1, 2 ) ,
C = (-3, -2) ,
D = (2, 0) ,
E = ( 0, -4 )
F = ( 5, -4 )
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