Answer:
Frank can park 8.9 hours at the highest
Step-by-step explanation:
Here, we want to know the greatest amount of time that Frank can park given the amount he has to spend on parking.
From the question, we are told that he pays $2 for the hour and an extra $1 per additional hour.
Now, let the number of additional hour he is going to park be x. The bill for the additional hours will be ; $1 * x = $x
By adding this to the initial $2, we have the total $9.90
So, mathematically;
2 + x = 9.90
x = 9.9 -2
x = 7.9 hours
Now, the initial hour he parked is 1 hour + number of incremental hours = 1 + 7.9 = 8.9 hours
A triangle has a base length of 3.1 cm and corresponding height of 4.2 cm, correct to
one decimal place. Calculate the upper and lower bounds for the area of the triangle as
accurately as possible.
Answer:
The upper bound of the area is 6.69375 cm²
The lower bound of the area is 6.32875 cm²
Step-by-step explanation:
The question relates to measurements and accuracy
The given information are;
The base length of the triangle = 3.1 cm
The height of the triangle = 4.2 cm correct to one decimal place
The lower bound for the base length of the triangle = 3.05 cm
The upper bound for the base length of the triangle = 3.15 cm
Similarly, the lower bound for the height of the triangle = 4.15 cm
The upper bound for the height of the triangle = 4.25 cm
The formula for calculating the area of a triangle is given by the following formula;
Area of a triangle = 1/2 × Base × Height
The upper bound of the area = 1/2 × The upper bound of the base × The upper bound of the height
The upper bound of the area = 1/2 × 3.15 × 4.25 = 6.69375 cm²
The upper bound of the area = 6.69375 cm²
The lower bound of the area = 1/2 × The lower bound of the base × The lower bound of the height
∴ The lower bound of the area = 1/2 × 3.05 × 4.15 = 6.32875 cm²
The lower bound of the area = 6.32875 cm²
Differentiate Square numbers and cube numbers
Answer:
square numbers are numbers raised up to the power of two in essence the number multiplied by it self
Evaluate y = 3x - 5 when x = 6
y=13
Step-by-step explanation:
y=3x-5
y=3(6)-5
y=18-5
y=13
Round 20045 to 4 significant figures.
Answer:
2005
Step-by-step explanation:
Explanation & Process Needed
Answer:
∠ BOF = 32°
Step-by-step explanation:
Since AB is a straight line, then
∠ AOE + ∠ EOD + ∠ DOE = 180° , substitute values
90 + x + 8 + 2x - 8 = 180 , that is
3x + 90 = 180 ( subtract 90 from both sides )
3x = 90 ( divide both sides by 3 )
x = 30
Thus
∠ DOB = 2x - 8 = 2(30) - 8 = 60 - 8 = 52°
∠ COF = 4x - 24 = 4(30) - 24 = 120 - 24 = 96°
∠ AOC = ∠ DOB ( vertical angles ), thus
y = 52, then
∠ BOF = 180° - (96 + 52)° = 180° - 148° = 32° ( angles on a straight line )
What is the sum of b and 4
Answer:
b+4
Step-by-step explanation: If you add b to 4, than you get B+4
The variables for this experiment include mass, volume and the materials in the various balls, as well as their densities. In Part II, you will be comparing an inflated football with a deflated one. Use the drop-down menus to complete the sentences and identify the independent and dependent variables. In Part II, the independent variable, the one that is intentionally manipulated, is . (mass,volume,material,density) In Part II, the dependent variable, the one that you measure the response in, is . (mass,volume,matierl,density)
Answer:the first one is volume the second one is density
Step-by-step explanation:I took the test
Answer:
volume and density
Step-by-step explanation:
what is the smallest two digit positive integer such that the product of its two digits is one-half the integer
Let x be the tens and y be the ones digits.
The product of the number is then: 10x + y
The product is 1/2, so you need to multiply the product by 2 and the number:
10x + y = 2(x+y)
10x + y = 2x + 2y
Subtract 1 y from both sides
10x = 2x + y
Subtract 2x from
Both sides
8x = y
X has to be 1 , which would make y 8
The product number becomes 18
Since the product is 1/2, multiply by 2:
18 x 2 = 36
3 x 6 = 18
The answer is 36
Jeremiah makes a recipe that calls for 1 1/2 cups of flour and 3/4 stick of butter. If Jeremiah uses 3 sticks of butter, how many cups of flour will he need?
Answer:
6 cups of flour
Step-by-step explanation:
we know that
the ratio of the recipe=(1 1/2)/(3/4)
1 1/2=1.5 cups of flour
3/4 stick of butter-------> 0.75 stick of butter
by proportion
1.5/0.75=x/3---------> 3*1.5=0.75*x
x=3*1.5/0.75----------> x=6 cups of flour
Trey received a $15.00 gift card for a photo center. He used it to buy prints that cost 6 cents each. The remaining balance, B (in dollars) on the card after
buying x prints is given by the following.
B = 15.00 -0.06x
What is the remaining balance on the card if Trey bought 50 prints?
Answer
I think it's 12.00 left
Step-by-step explanation:
50 * 0.06 = 3.00
3.00 - 15.00 = 12.00
12.00
4. Simplify the following using the quotient rule of exponents:
(1 Point)
33 = 33
31
33
30
3-
!!!!!!!!!!!!!!!!!!!
Answer:
31=1/1
33=1/1
30=3/10
3-=-3
Step-by-step explanation:
Ira's puppy weighed 3/4 pound. His kitten weighed 1/5 pound. What was the total weight of Ira's two pets? A. 19/20 pounds B. 4/9 pound C. 11/20 pound D. 19/20 pound
Answer:
3/4+1/5=19/20
Step-by-step explanation:
Answer:
19/20
Step-by-step explanation:
3/4+1/5
find the common denominator
15/20+4/20= 19/20
-2(6 - 10x) = 10(2x - 6)
HEPL!!!!
Answer:
x=0 solution
Step-by-step explanation:
2x-10x=6-6
-8x=0
x=0 solution Hope this helped!
which situation could NOT represent a proportional relationship? F The number of gallons of water in x barrels with 42 gallons of water in each barrel G The amount an employee who makes $8.50 per hour earns in h hours the weight in x weeks of a puppy that gains 2 pounds per week it is starting weight is 8 pounds 1 The cost of purchasing p pounds of bananas for $0.55 per pound
Answer: it’s H <3
Step-by-step explanation: I had this on my homework and I got it right^^
It is possible that the situation does not represent a proportional relationship. The number of hours worked by an employee earning $8.50 per hour.
What proportional relationship?The relationship is said to be proportional when two or more items are directly proportionate or change in size according to equivalent ratios.The formula y = kx can be used to express this proportional relationship. The quantities that are proportional to one another in this case are y and x.In this case, the unit rate is another name for the proportionality constant (k).Proportional relationships can be worked with algebraically, but they can also be represented visually by graphing them on a coordinate plane.On the graph, a proportionate relationship is always represented as a straight line across the origin.Therefore, The correct answer is option is B) The amount an employee who makes $8.50 per hour in h hours
The complete question is:
Which situation could NOT represent a proportional relationship?
A: The number of gallons of water in x barrel with 42 gallons of water in each barrel
B: The amount an employee who makes $8.50 per hour in h hours
C: The weight in x weeks of a puppy that gains 2 pounds per week if it's starting weight is 8 pounds
D: The cost of purchasing p pounds of bananas for $0.55 per pound
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Erica has saved $2400.if she spends $45 per day then what is the first day that her balance will be $500 or less
Answer:
The 43rd day of spending $45.
Step-by-step explanation:
Let the number of days = x.
If she spends $45 per day, then in x days she spends 45x.
She starts with $2400, so 45x is subtracted from 2400.
2400 - 45x < 500
Subtract 2400 from both sides.
-45x < -1900
Divide both sides by -45. Remember to change the direction of the inequality sign when multiplying or dividing by a negative number.
x > 42.2
Answer: The first day is the 43rd day of spending $45.
Simon and Andrew see a speed limit sign that says 65 kilometers per hour. They decide to convert this speed limit to miles per hour. They each do the conversion separately and come up with different answers. Their work is shown. Who is correct? Explain.
Answer:
40.38912735 or about 40 miles per hour (rounded to the nearest whole number)
Step-by-step explanation:
1.) You want to convert kilometers per hour to miles per hour.
2.) There are 0.62137119 miles in 1 kilometer.
3.) Multiply 65 by 0.62137119
4.) That equals 40.38912735
5.) This answer can be rounded to 40 mph.
which angles are complementary?
Answer:
<LKM and <MKN
<PKO and <LKM
Step-by-step explanation:
<LKM and <MKN = 90°
<PKO and <LKM = 90°
If LN=54 and LM= 31, find MN
Answer:
If the overall diagram is 54 and one section of that whole diagram is 31 all we have to do is subtract the overall to the one section to find the other section.
Step-by-step explanation:
So...
54-31=23
The figure below shows part of a stained glass window depicting the rising sun which function can be used to find the area of the region outside of the semicircle but inside the rectangle. (Look at the picture for more details)
We know that the area of a semicircle = 1/2(πr^2)
r = the radius
We also know that the area of a rectangle = xy
x = width
y = length
In our problem,
r = w
x = w
y = w + 5
A(w) = w(w + 5) - 1/2(πw^2)
Let's simplify the right side of the function.
A(w) = w^2 + 5w - 1/2πw^2
True or false, 6 divided by 1/2 is larger than 6 1/2
Answer:
True
Step-by-step explanation:
6 divided by 1/2 is the same as multiplying by two
Answer:
True
Step-by-step explanation:
6 divided by 1/2 = 12
You cannot divide a number by a fraction, so you must multiply by the reciprocal, or the opposite. The reciprocal of 1/2 is 2/1, or 2. 6*2=12
solve attachment 30 points!!!!!
Answer:
[tex]A=\frac{B^3}{5g+m}[/tex]
Step-by-step explanation:
Step 1: Write out equation
5gA + mA = B³
Step 2: Factor out A
A(5g + m) = B³
Step 3: Divide both sides by 5g + m
[tex]A=\frac{B^3}{5g+m}[/tex]
5) There are 20 students in Mr. Drury's tutorial. 70% of the students are wearing a hoodie. Het many students are wearing a hoodie?
How much can 2 go into 80
Answer:
40
Step-by-step explanation:
80/2= 40
Cindy lost 47 pounds while on a diet. She now weighs 144 pounds. Write and solve an equation to find her initial weight.
Answer:
191
Step-by-step explanation:
47+144=191
Answer:
equation: 144+ 47= 191
Step-by-step explanation:
If 7/35 = 4/y, what is y?
Answer:
y = 20Step-by-step explanation:
[tex] \frac{7}{35} = \frac{4}{y} [/tex]
First of all cross multiply
That's
7y = 140
Divide both sides by 7
That's
[tex] \frac{7y}{7} = \frac{140}{7} [/tex]
We have the final answer as
y = 20Hope this helps you
If ab=4x-10,Bc=x-1 and b is the midpoint of ac, find ab
Answer:
AB = 2Step-by-step explanation:
If B is the midpoint of AC then:
AB = BC
4x - 10 = x - 1
+10 +10
4x = x + 9
-x -x
3x = 9
÷3 ÷3
x = 3
AB = 4x - 10 = 4×3 - 10 = 12 - 10 = 2
what is the sum of 3/20+ the square root of 10
Answer:
3.31
Step-by-step explanation:
sqr 10 = 3.16
3/20 = .15
3.16+ .15
3.31
Factor the polynomial expression x4 + 18x2 + 81 to determine missing terms
X^4+18x^2+81=( )^2+2( )x^2+ ( )^4
Answer:
Step-by-step explanation:
Explanation:
Use the extended form of the perfect square trinomial identity:
a4 + 2a2b2 + b4 = (a2 + b2)2.
a2 = x2 and b2 = 32
x4 + 18x2 + 81 = (x2)2 + (2)(x2)(32) + (32)2
= (x2)2 + 2(32)x2 + (32)2
= (x2 + 32)2
= (x2 + 9)2
The missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
We have a polynomial:
= x⁴ + 18x² + 81
Let u = x²
[tex]\rm =u^2+18u+81[/tex]
or
= (x²)² + 2(9)x² + (3²)²
= (u + 9)²
= (x² + 9)² or
= (x² + 9)(x² + 9)
Thus, the missing terms are (x²)² + 2(9)x² + (3²)² and (x² + 9)² after factorization of the polynomial.
Learn more about Polynomial here:
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Solve for x in simplest form. 10=3/7(4x+35)
Answer:
x=−
12
35
=−2.917
Step-by-step explanation:
What is f(4) if f(x)=3x+2
Answer:
f(4) = 14
Step-by-step explanation:
To evaluate f(4), substitute x = 4 into f(x), that is
f(4) = 3(4) + 2 = 12 + 2 = 14