The equations for parts A and B are 170 = 60x + 50 and 210 = 75x + 35 - 10x, respectively.
What is an 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.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.
The statement is not an equation if there is no "equal to" sign in it.
According to our question-
A) It is stated that Maci once earned $170 by grooming dogs.
For each appointment, she charges $60, and she received $50 in tips. Consequently, the equation to illustrate this is;
170 = 60x + 50
the number of appointments is x.
B) Logan earned $210.00 in profit. He charged $75.00 for each session and got $35.00 in gratuities. In addition, he had a $10.00 truck rental fee per appointment. In order to represent this, the equation is;
210 = 75x + 35 - 10x
the number of appointments is x.
C) The quantity of tips they will receive even without an appointment varies between the formulae.
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MEDICINE: Ahmad took 200 mg of a medication. The
function f(t) = 200e 0. 4+ can be used to determine the amount of
medication, f(t), still in his system after t hours. To the nearest hundredth,
after how much time will Ahmad have only 50 mg of medication left in his
system?
A 4. 37 hours
B 7. 47 hours
C
3. 47 hours
D
3. 74 hours
A BH
BO
If Ahmad took 200 mg of medication and the function [tex]f(t) = 200e^{-0.4t}[/tex] can be used to determine the amount of medication, then He will have only 50 mg of medication left in his system after (c) 3.47 hours .
The Function that is used to determine the amount of medication, f(t), still in his system after t hours. is given as [tex]f(t) = 200e^{-0.4t}[/tex] ,
we have to find the after how many hours there will be only 50 mg of medication left ;
we need to substitute f(t) as 50 ;
we get ;
⇒ [tex]50 = 200e^{-0.4t}[/tex] ;
⇒ [tex]\frac{50}{200} =e^{-0.4t}[/tex] ;
⇒ [tex]\frac{1}{4} =e^{-0.4t}[/tex]
On solving further ,
we get ;
⇒ [tex]t=3.4657..[/tex] hours ;
So , t≈ 3.47 hours .
Therefore , After 3.47 hours there will be 50 mg of medication left .
The given question is incomplete , the complete question is
Ahmad took 200 mg of a medication. The function [tex]f(t) = 200e^{-0.4t}[/tex] can be used to determine the amount of medication, f(t), still in his system after t hours. To the nearest hundredth, after how much time will Ahmad have only 50 mg of medication left in his system ?
(a) 4.37 hours
(b) 7.47 hours
(c) 3.47 hours
(d) 3.74 hours
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which graph represents -12x-6y_>5
Answer:
l learnt it but I forgotten sorry
The degrees of freedom for a contingency table with 10 rows and 11 columns is
O 100 O 110 O 21 O 90
Essentially, a contingency table with 10 rows and 11 columns has (D) 90 degrees of freedom.
What is a contingency table?A contingency table is a matrix-form table that shows how often different combinations of variables appear.
It's really popular in survey research, business intelligence, engineering, and scientific research. Basically, a contingency table with 10 rows and 11 columns has 90 degrees of freedom.
They are also sometimes known as two-way frequency tables and are used to show how often different combinations of variables occur.
A contingency table gives you an idea of how two variables relate to each other.
It displays one categorical variable along the rows and another categorical variable along the columns. It can help point out any interactions between them.
Therefore, essentially, a table with 10 rows and 11 columns has (D) 90 degrees of freedom.
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Complete question:
The degrees of freedom for a contingency table with 10 rows and 11 columns are:
A. 100
B. 110
C. 21
D. 90
62 less than j i need to know this answer immediately please
Answer:
62>j
Step-by-step explanation:
mrk me brainliest plz
Taylor wrote down three consecutive integers. He noticed that when he took the difference between the first term and the third term, and multiplied this difference by 4, the result was 1 more than the second term. What are Taylor's three integers
Answer:
737
Step-by-step explanation:
Answer:
Step-by-step explanation:
a.we set the first integers is A, because they are consecutive Integer, so the three Integers are A, A+1, A+2
b.we konw (A+2-A)×4-1=A+1, so A=6
therefore, the three Integer are 6, 7, 8.
This is due today pls help!!!!!!!
Answer:
x = 3.5
Step-by-step explanation:
Each value is multiplied by 1.5 so 7 times 1.5 is 10.5
10.5/3 = 3.5
Answer:
1.5
Step-by-step explanation:
To find the value of x that makes triangle DEF similar to XYZ, we have to find the scale. To do this find 2 similar sides. I chose 7.5 from XYZ and 5 from DEF. Divide 7.5 by 5 to get 1.5. 1.5 is our scale so this means we will insert 1.5 for x and get 4.5 as our answer.
A store has a sale for 15% off. You decide to buy a $45 jacket.
how much would u save? how much would u spend?
Need to catch up on school work :/
Suppose a city with a population of 400,000 has been growing at a rate of 3% per year if this rate continues find the population of the city in 24 years , (round to the nearest whole number as needed)
Answer: 813,118 people in the city after 24 years
400,000(1+.03)^24
What is the solution
Answer:
d
Step-by-step explanation:
Olving ytem of linear equation in two variable
1. 4x8y=24 2. 2xy=19 3. 3x2y=15
4x2y=12 x-y=11 x2y=10
The solution of this system of linear equations is x=3, y=-5.
To solve this system of linear equations, you can use various methods such as substitution, elimination, or matrices. Here is one way to solve using the substitution method:
From equation 2, we can find the value of x in terms of y: x = (11+y)/2Substitute this value of x into equations 1 and 3:4((11+y)/2) + 8y = 24
3((11+y)/2) + 2y = 15
Solve for y in the first equation: 8y = 24 - 44 = -20y = -5
Substitute this value of y back into equation 2 to find x:x = (11 + (-5))/2
x = 3
Substitute the values of x and y back into the original equations to check if they are correct:4(3) + 8(-5) = 24
3(3) + 2(-5) = 15
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The question is -
Solving a system of linear equations in two variables,
4x + 8y = 242x - y = 113x + 2y = 15a plane is traveling 9 miles per minute how much time is needed to travel 216 miles
Answer:
Step-by-step explanation:
so since it’s traveling 9mi/m you need to devide 216 by the rate of 9mi/m to find how long it takes.
216/9=24 so it will take 24 minutes!
Answer:1,944 minutes
Step-by-step explanation:
if the question is a plane is traveling 9 miles per minute how much time is needed to travel 216 miles you need it is clear that you are doing a multiplication problem so multiply that and you get 1,944 minutes
your welcome
the diffrence between the roots of the equation 2x^2-5x+c=0 is 0.25 find c
Answer:
c = 3.09375Step-by-step explanation:
Standard for of quadratic equation:
ax² + bx + c = 0We have
2x² - 5x + c = 0Sum of the roots
x₁ + x₂ = - b/a = -(-5)/2 = 2.5Product of the roots
x₁x₂ = c/a = c / 2We have:
x₁ - x₂ = 0.25The square of the above is:
(x₁ - x₂)² = (x₁ + x₂)² - 4x₁x₂Substitute known values and solve for c:
0.25² = (2.5)² - 4(c/2) 2c = 6.25 - 0.06252c = 6.1875c = 3.09375Answer:
c = 3.09375
Step-by-step explanation:
Factored form of a quadratic equation
[tex]y=a(x-r_1)(x-r_2)[/tex]
where:
a is the leading coefficient[tex]r_1[/tex] and [tex]r_2[/tex] are the rootsGiven quadratic:
[tex]2x^2-5x+c=0[/tex]
Therefore, the leading coefficient is:
[tex]\implies a=2[/tex]
Substitute the value of a into the formula:
[tex]\implies y=2(x-r_1)(x-r_2)[/tex]
Expand:
[tex]\implies y=2x^2-(2r_2+2r_1)x+2r_1r_2[/tex]
Compare the coefficients of x:
[tex]\implies -(2r_2+2r_1)=-5[/tex]
[tex]\implies 2r_2+2r_1=5[/tex]
[tex]\implies r_2+r_1=2.5[/tex]
If the difference between the roots is 0.25 then:
[tex]\implies r_2-r_1=0.25[/tex]
Add the two root equations to eliminate r₁:
[tex]\implies 2r_2=2.75[/tex]
[tex]\implies r_2=1.375[/tex]
Substitute the found value of r₂ into one of the root equations and solve for r₁:
[tex]\implies 1.375-r_1=0.25[/tex]
[tex]\implies r_1=1.375-0.25[/tex]
[tex]\implies r_1=1.125[/tex]
As c = 2r₁r₂ then:
[tex]\implies c=2(1.125)(1.375)[/tex]
[tex]\implies c=3.09375[/tex]
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The ratio of boys to girls at a local sports club is 3 to 1. If there are 45 girls, how many boys are
there?
Answer: 135 boys
Step-by-step explanation:
Multiply 3*45 since you know the number of boys is 3 times more than the number of girls.
What is not a polynomial class 10?
A variable-containing expression that divides by a variable, contains fractional or negative exponents, or is enclosed in a radical is not a polynomial.
As long as the polynomial is specified over the real numbers, it is possible for it to have negative coefficients, fractional coefficients, or even radical coefficients.
There cannot be a negative exponent in a polynomial. The exponent of a variable in any term of a polynomial must, by definition, be a nonnegative integer, such as 0, 1, 2, 3, 4, etc. The exponents of variables do not contain fractions, decimals, or negative numbers. There cannot be a variable with a fractional exponent in a polynomial.
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What’s the gcf of 18 and 36
Answer: 18
Step-by-step explanation:
18*1=18
18*2=36
Jesse wanted a stamp collection his grandfather gave him 48 stamps to start it then his parents gave him 23 stamps and his aunt gave him 17 stamps how many stamps does Jesse have in his collection
Answer:88
Step-by-step explanation:
Express the number in standard form
1.028×10^9
Answer:
1.028 × 10⁹
= 1028000000
Multiply.
Your answer should be a monomial in standard form.
{(4z^3)(-3z^3)}=(4z
3
)(−3z
3
)
The required simplified expression as a monomial is given as -12[z⁶].
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.
here,
Given an expression, the outcome of the multiplicative depression will be an expression of a monomial.
= [4z³][-3z³]
= 4 × 3 [-z ³⁺³]
= -12[z⁶]
Thus, the required simplified expression as a monomial is given as -12[z⁶].
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An iron paperweight has the shape of a cube with
side length 5 cm. Iron has a density of 7.874 grams
per cubic centimeter. What is the mass of the
paperweight?
Answer:
It's D
Step-by-step explanation:
984.25 g
PLS HELP QUICKKKKK! Tap the photo to see the full problem. Answer all 3 questions please and I'll give brainliest if it is right.
danetta's dinner cost 5$ less than exwards dinner. write an equation to represent the comparison of the dinner bills
Answer:
alright, lets say danetta's dinner bill is 20 dollars, and she ordered 4 things, so the equation would be x times 5=20, and edwards would be 25 dollars, so that equation would be x times 5=25
Step-by-step explanation:
if the center of a circle is (-5, -8) and contains the point (16, 68) what is the equation ?
Answer:
[tex](x+5)^2+(y+8)^2=6217[/tex]
Step-by-step explanation:
Hi there!
Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and r is the radius
1) Plug the center of the circle into the equation
Center: (-5,-8)
[tex](x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-(-8))^2=r^2\\(x+5)^2+(y+8)^2=r^2[/tex]
2) Determine r²
Plug in the given point (16,68)
[tex](x+5)^2+(y+8)^2=r^2\\(16+5)^2+(68+8)^2=r^2\\(21)^2+(76)^2=r^2\\441+5776=r^2\\6217=r^2[/tex]
Therefore, r² is equal to 6217. Plug this back into [tex](x+5)^2+(y+8)^2=r^2[/tex]:
[tex](x+5)^2+(y+8)^2=6217[/tex]
I hope this helps!
PLEASE HELPP!!! picture attached
Which diagram shows an obtuse scalene triangle?
Option D. is an obtuse scalene triangle in the given lists of diagrams.
What is obtuse scalene triangle?In terms of geometry, an obtuse scalene triangle is one in which one of the angles is less than 90 degrees and the other two are less than 180 degrees, with the one angle measuring greater than 90 degrees but less than 180 degrees. Measurement differences exist for each of the three sides and angles.
Both the obtuse triangle and the scalene triangle's characteristics are present in an obtuse scalene triangle. A scalene triangle has all three sides and angles that are of a different size, whereas an obtuse triangle only has one obtuse angle. The following are the characteristics of an obtuse scalene triangle:
Two of its angles are acute, while the other is obtuse.Measurement varies across all sides and angles.Three interior angles added together result in a 180° angle.Learn more about obtuse triangle
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((MATHS FORM2 CHAPTER 5 CIRCLE)). HELPPPPPPPPPP I WILL MARK AS BRAINLIEST PLEASE SHOW YOUR WORKING :-)
Kevin wants to build a dartboard. The dartboard consists of two
circles centred at O and three shaded regions as in the diagram.
The diameters BOD and AOC are perpendicular to each other.
Given OE= ED = 10 cm. Calculate the area of the shaded regions
22
in cm². ((Use π= 22/7))
Answer:
Step-by-step explanation:
strategy: Find the area of the entire dartboard, then subtracted the inner circle from that whole. we will have the entire outer circle, so divide that by 2 for half of it. Next divide the inner circle by 4 . Then add that to the outer circle answer from above.
whole circle = [tex]\pi[/tex]*[tex]20^{2}[/tex] = 1257.142857 [tex]cm^{2}[/tex]
inner circle = [tex]\pi[/tex]*[tex]10^{2}[/tex] = 314.2857143 [tex]cm^{2}[/tex]
1257.142857 - 314.2857143 = 942.8571427 outer circle
942.8571427 / 2 = 471.4285 ( half of the outer circle)
now find quarter of the inner circle
314.2857143 / 4 = 78.57142855
add the two parts together
78.57142855 + 471.4285 = 549.9999
The shaded regions = 550 [tex]cm^{2}[/tex]
4/5 + 3/4= asap PLEASEEE
•25 POINTS•
-A
-B
-C
Answer:
SaS
Step-by-step explanation:
Help please! I need to know if it’s a function or not!! Thank you!
Answer:
The table represents a function and the slope is -1/2
Step-by-step explanation:
Here, we want to know if the given table is a function
For a relation to be a function, no two y values have same x value
however, 2 x values can have same y value
Looking at the table, we can conclude that what we have is a function
To find the slope, we select any two points and apply the slope formula
m = (y2-y1)/(x2-x1)
(x1,y1) = (6,-2)
(x2,y2) = (-2,2)
m = (2 -(-2))/(-2-6) = 4/-8 = -1/2
The graphs of lines f an g are shown on the grid. Write a system of equations to represent this graph.
The Equation of line F is y= -9/2x + 59/2.
The Equation of line G is y = 1/10 x .
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
For Line F:
slope = -9 /2
and, Equation of line F as
y - (-2) = -9/2 (x -(7))
y + 2= -9/2( x- 7)
y = -9/2x + 63/2 -2
y= -9/2x + 59/2
For Line G:
Slope = (0 -(1))/ ( 0-(10))
slope = 1/10
and, Equation of line G as
y - (1) = 1/10 (x -10)
y-1 = 1/10 x - 1
y = 1/10 x
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What is simple negation give 5 examples?
Negation means negative of something , in logical mathematics negation is an expression opposite to another operation .
Examples of negation are ,
The negation of P is ∼P.The negation of A ^ B^ C is ∼( A ^ B ^ C ).The negation of A is ∼( A ).The negation of Y ^ VB is ∼( Y ^ VB ).The negation of 6 ^ 7is ∼( 6 ^ 7).Logical operations are performed to check the trueness of an expression.
These are generally Boolean expressions or algebraic functions.
A negation of a basic assertion is made by inserting the word "not" into the original statement. The truth value of the negation will always be the inverse of the truth value of the original assertion.
Under negation, what was true becomes false and the vice - versa.
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Meri is making birdhouses. Each birdhouse uses 58 yard of wood. What is the total length of wood Meri will need to make 12 birdhouses? Drag each of the numbers from the box to complete and solve the equation. Each number will be used once
Meri will need 696 yards of wood to make 12 birdhouses, as each birdhouse requires 58 yards of wood.
Meri is making birdhouses and each birdhouse needs 58 yards of wood. To find out the total length of wood needed for making 12 birdhouses, we can use the formula:
length of wood per birdhouse x number of birdhouses = total length of wood
So, in this case, we can substitute the given values in the formula:
58 yards x 12 birdhouses = 696 yards
This means Meri needs 696 yards of wood to make 12 birdhouses.
This equation works because it uses the concept of the unitary method, where we find the total length of wood by multiplying the number of birdhouses by the length of wood used in each birdhouse, this way we are able to find the total amount of wood needed.
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