To subtract 19 from 33 using a tape diagram, draw a rectangle labeled 33, mark off a section labeled 19, and the unshaded difference represents the result, which is 14.
To create a tape diagram to show the subtraction of 33-19, we start by drawing a long rectangle to represent the number 33. We then mark off the length that represents the number 19 on the same tape, indicating the part we want to subtract. Lastly, the remaining part of the tape diagram represents the difference between the two numbers.
Draw a rectangle and label it 33.Mark a section of the rectangle and label it 19.Shade in or distinguish the remaining part of the rectangle; this is the result of 33 minus 19.See the unshaded part, which represents the difference, and count if necessary to find that it equals 14.The final result is the length of the unshaded part of the tape diagram, which shows the difference when you subtract 19 from 33.
Find the measures of the angles of a triangle if the measure of one angle is three times the measure of a second angle and the third angle measures 55 times the second angle decreased by 90
I WILL GIVE BRAINLIEST. What is the justification for each step in solving the inequality?
75x+35≥7(11x+9)+4
75x+35≥7(11x+9)+4 Given
75x+35≥77x+63+4 Distributive Property
75x+35≥77x+67
−2x+35≥67 Subtraction Property of Order
−2x≥32
x≤−16
I just need the ones that don't have the justification next to it
Answer:
Combine like terms
Subtraction property of inequality
Division property of inequality
Step-by-step explanation:
We are given tnat
[tex]75x+35\geq 7(11x+9)+4[/tex]
We have to find the missing justification in given solution
[tex]75x+35\geq 7(11x+9)+4[/tex]
Reason:Given
[tex]75x+35\geq 77x+73+4[/tex]
Reason:Distributive property
[tex]75x+35\geq 77x+67[/tex]
Reason:combine ike terms
[tex]-2x+35\geq 67[/tex]
Reason:Subtraction property of order
[tex]-2x\geq 32[/tex]
Reason:Subtraction property of inequality
[tex]x\leq -16[/tex]
Reason:Division property of inequality
match each point with one of the following fractions 5/6, 7/12, 1/8, 5/16
A=5/6 B= 5/16 C= 7/12 D= 1/8
A= 1/8 B= 5/16 C= 7/12 D= 5/6
A= 7/12 B= 5/6 C = 5/16 D = 1/8
A= 5/16 B= 1/8 C = 7/12 D= 5/6
Answer:
The correct option is A= 1/8 B= 5/16 C= 7/12 D= 5/6
Step-by-step explanation:
Consider the provided fractions.
First convert each fraction into decimal form as shown:
5/6 = 0.833..
7/12 = 0.5833..
1/8 = 0.125
5/16 = 0.3125
The largest number among them is 0.833.. i.e 5/6 and the smallest number among them is 0.125 i.e 1/8
Arrange them in increasing order as shown:
0.125, 0.3125, 0.5833.., 0.833.. or 1/8, 5/16, 7/12, 5/6
Now consider the provided figure. The alphabets are showing the number are in increasing order
Thus, the correct option is A= 1/8 B= 5/16 C= 7/12 D= 5/6
Which congruence theorems can be used to prove △EFG ≅ △JHG? Check all that apply.
HL
SAS
SSS
ASA
AAS
Answer:
ASA and AAS
Step-by-step explanation:
We do not know if these are right triangles; therefore we cannot use HL to prove congruence.
We do not have 2 or 3 sides marked congruent; therefore we cannot use SSS or SAS to prove congruence.
We are given that EF is parallel to HJ. This makes EJ a transversal. This also means that ∠HJG and ∠GEF are alternate interior angles and are therefore congruent. We also know that ∠EGF and ∠HGJ are vertical angles and are congruent. This gives us two angles and a non-included side, which is the AAS congruence theorem.
Since EF and HJ are parallel and EJ is a transversal, ∠JHG and ∠EFG are alternate interior angles and are congruent. Again we have that ∠EGF and ∠HGJ are vertical angles and are congruent; this gives us two angles and an included side, which is the ASA congruence theorem.
Answer: ASA and AAS
Step-by-step explanation:
Find the distance between R (-1,1) and S (-4,-5) to the nearest tenth.
The distance between the points R (-1,1) and S (-4,-5) is [tex]3\sqrt{5}[/tex] units.
To find the distance between points R(-1, 1) and S(-4, -5), we can use the distance formula in a coordinate plane.
The distance formula is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Using the given coordinates:
[tex]x_1 = -1, y_1 = 1[/tex](coordinates of point R)
[tex]x_2 = -4, y_2 = -5[/tex] (coordinates of point S)
[tex]d = \sqrt{(-4 +1 )^2 + (-5 - 1)^2}[/tex]
[tex]d = \sqrt{9 +36}[/tex]
[tex]d = \sqrt{45}[/tex]
[tex]d = \sqrt{9 \times 5}[/tex]
[tex]d = 3\sqrt{5}[/tex]
Hence, the distance between the points R (-1,1) and S (-4,-5) is [tex]d = 3\sqrt{5}[/tex] units.
To learn more on Distance click:
https://brainly.com/question/15172156
#SPJ6
Which of the following statements does not describe the structure of an atom?
An atom has a small, dense center called the nucleus.
Inside the nucleus of an atom are protons and electrons.
Protons are positively charged sub-atomic particles.
Electrons are negatively charged sub-atomic particles.
Final answer:
The incorrect statement is that the nucleus of an atom contains protons and electrons; actually, the nucleus contains protons and neutrons, with electrons orbiting around it.
Explanation:
The statement that does not correctly describe the structure of an atom is 'Inside the nucleus of an atom are protons and electrons'. This statement is incorrect because the nucleus of an atom actually contains protons and neutrons, not electrons. Electrons are negatively charged sub-atomic particles that orbit around the nucleus. The nucleus itself is a small, dense center that is positively charged due to the presence of protons, which are positively charged. Neutrons, which have no electric charge, are also found within the nucleus.
Further expanding on atomic structure, the nucleus is very tiny compared to the rest of the atom, which is mostly empty space. The electrons residing in this space are in perpetual motion, creating a cloud-like region around the nucleus. Despite their small mass compared to protons and neutrons, the number of electrons equals the number of protons in a neutral atom, balancing the charge.
Find the equation of the line with slope = -5 and passing through (4,-17). write your equation in the form y = m x + b y=mx+b.
Which of the following expressions represents the area of a trapezoid with bases of 3x and 5x and a height of 6x?
10x
24x
24x2
45x2
If x represents time, the average rate of change of a function f(x) in the first two seconds is____.
Answer:
The average rate of change of a function f(x) in the first two seconds is 25.
Step-by-step explanation:
Given : Graph , X represent the time , function f(x).
To find : the average rate of change of a function f(x) in the first two seconds is____.
Solution : The rate of change of f(x) with respect to x is the slope of the line.
slope : [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex].
In first two second ( 0, 50 ) , ( 2, 100).
slope : [tex]\frac{100-50}{2-0}[/tex].
slope : [tex]\frac{50}{2 }[/tex].
the average rate of change of a function f(x) in the first two seconds is 25.
Therefore,The average rate of change of a function f(x) in the first two seconds is 25.
What is 4125 divided by 8
what is the property of this equation? if 2x=8 then x=4
The ratio of boys to girls in ms. zombo's class is 33 to 22. in mr. stolarski's class it is 55 to 33. if there are 15 students in ms. zombo's class and 32 students in mr. stolarski's class, what is the ratio of boys to girls in the combined classes?
For combined classes of Ms. Zombo's and Mr. Stolarski's, the number of boys and girls are determined based on their respective ratios and total number of students. The combined ratio of boys to girls is 29:18.
Explanation:The question asks for the combined ratio of boys to girls in both Ms. Zombo's and Mr. Stolarski's classes. Firstly, identify the number of boys and girls in each class based on the given ratio and total students. In Ms.Zombo's class, the ratio of boys to girls is 33:22, and there are total 15 students. So, the number of boys is (33/(33+22))*15= 9 boys and 6 girls. Similarly, in Mr.Stolarski's class the ratio is 55:33, there are 32 students, so there are (55/(55+33))*32 =20 boys and 12 girls.
Next step is to combine the classes. The total number of boys from both classes is 9 (from Ms. Zombo's class) + 20 (from Mr.Stolarski's class) = 29 boys. The total number of girls is 6 (from Ms. Zombo's class) + 12 (from Mr.Stolarski's class) =18 girls.
Therefore, the combined ratio of boys to girls from both classes is 29:18.
Learn more about Ratios here:https://brainly.com/question/32531170
#SPJ3
t takes Audrey 35 hour to paint 25 square yards of wood to be used for making shelves. How many square yards can she paint in 1 hour?
60 POINTS
Which statement is true about this argument?
Premises:
If an angle measure is greater than 90°, then the angle is an obtuse angle.
The measure of ∠C is 102°.
Conclusion:
∠C is an obtuse angle.
There are 20 alligators in the swamp. Each year, the number of alligators increases by 25%. There are 25 crocodiles in the swamp. Each year, 10 new crocodiles join the swamp.
Part A: Write functions to represent the number of alligators and crocodiles in the swamp throughout the years. (4 points)
Part B: How many alligators are in the swamp after 4 years? How many crocodiles are in the swamp after the same number of years? (2 points)
Part C: After approximately how many years is the number of alligators and crocodiles the same? Justify your answer mathematically. (4 points)
Part A: Alligators: [tex]\(A(t) = 20 \times (1 + 0.25)^t\), Crocodiles: \(C(t) = 25 + 10t\).[/tex]
Part B: After 4 years: Alligators: ~38, Crocodiles: 65.
Part C: Alligators and crocodiles equal: Solve [tex]\(20 \times (1 + 0.25)^t = 25 + 10t\).[/tex]
Part A:
Let's define the functions to represent the number of alligators and crocodiles in the swamp over the years.
For alligators:
[tex]\[A(t) = A_0 \times (1 + r)^t\][/tex]
Where:
[tex]- \(A(t)\) is the number of alligators in the swamp after \(t\) years.\\- \(A_0\) is the initial number of alligators (20 in this case).\\- \(r\) is the growth rate per year (25% or 0.25).\\- \(t\) is the number of years.[/tex]
For crocodiles:
[tex]\[C(t) = C_0 + n \times t\][/tex]
Where:
[tex]- \(C(t)\) is the number of crocodiles in the swamp after \(t\) years.\\- \(C_0\) is the initial number of crocodiles (25 in this case).\\- \(n\) is the number of new crocodiles joining each year (10 in this case).\\- \(t\) is the number of years.[/tex]
Part B:
To find the number of alligators after 4 years, we use the formula:
[tex]\[A(4) = 20 \times (1 + 0.25)^4\][/tex]
To find the number of crocodiles after 4 years, we use the formula:
[tex]\[C(4) = 25 + 10 \times 4\][/tex]
Part C:
To find when the number of alligators and crocodiles are the same, we set [tex]\(A(t) = C(t)\) and solve for \(t\).[/tex]
[tex]\[20 \times (1 + 0.25)^t = 25 + 10 \times t\][/tex]
This equation can be solved numerically to find the value of \(t\) when the number of alligators and crocodiles are the same.
$1.80 in dimes and nickels. she has a total of 23 coins. how many of each kind does she have?
Jim got 30 questions correct out of a total of 35. what was the percentage he got correct?
Jim answered 30 out of 35 questions correctly, which is 85.7% correct when calculated using the percentage formula.
Explanation:Jim got 30 questions correct out of a total of 35. To find the percentage of questions he got correct, you can use the formula for calculating percentages: Percentage = (Number of correct answers ÷ Total number of questions) × 100%. Applying this formula to Jim's case: Percentage = (30 ÷ 35) × 100% = 0.857 × 100% = 85.7%. Therefore, Jim got 85.7% of the questions correct.
The county fair charges $1.25 per ticket for the rides. Jermaine bought 25 tickets for the rides and spent a total of $43.75 at the fair. Jermaine spent his money only on ride tickets and fair admission. The price of the fair admission is the same for everyone. Use y to represent the total cost and x to represent the number of ride tickets.
(a) Define your variables.
(b) Write a linear equation that can be used to determine the cost for anyone who only pays for ride tickets and fair admission.
(c) Explain your answer to Part b.
Traveling with a speed of 70 mph, a car covered a distance D miles in T hours. Write an equation that relates the distance D this car travels in T hours. Use the equation to find the distance the car travels between 3:30 p.m. and 5:00 p.m.
Answer:
i need the equation I know that the distance is 105 miles
Step-by-step explanation:
helppppp
Marjorie bought 24 bottles of juice. She drinks 2 bottles each day. Which of the following best represents the number of bottles she has left at the end of d days?
A.2d - 24
B.24d - 2
C.24 + 2d
D.24 - 2d
Answer: D.24 - 2d
Step-by-step explanation: I took the test Hope you have a good day. PEACE
Janet has a balance of 125 on a credit card on her next statement she wants to reduce her balance to no more than 60 how much does she need to pay off
Janet has to pay off $65 to reduce her balance to no more than $60.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Janet has a balance of 125 on a credit card on her next statement she wants to reduce her balance to no more than 60.
The amount to be paid will be calculated as,
Amount = 125 - 60
Amount = $65
To know more about an expression follow
https://brainly.com/question/2279877
#SPJ2
Sheila purchased ski equipment for $513 using a six-month deferred payment plan. The interest rate after the introductory period is 18.39%. A down payment of $125 is required as well as a minimum monthly payment of $65. What is the balance at the beginning of the seventh month if only the minimum payment is made during the introductory period?
$65 * 6 = $390 total monthly payments made
The downpayment made is $125, so the total balance at the end is:
balance = $513 – ($125 + $390)
balance = - $2
There is an excess of 2 dollars at the end.
Sheila's balance at the beginning of the seventh month will be approximately $393.95 after considering the deferred payment and applying the interest rate.
To determine the balance at the beginning of the seventh month, follow these steps:
Calculate the initial loan amount: Sheila purchased equipment worth $513 minus a down payment of $125, leaving a balance of $388.Introductory period payments: Over six months, Sheila makes the minimum payment of $65 each month. Therefore, total payments during the introductory period are $65 x 6 = $390.Balance at end of introductory period: Since the deferred payment plan means these monthly payments were applied directly to the purchasing price rather than reducing the balance with interest-free monthly payments, the balance remains $388.Interest application: After the introductory period, interest accrues on the balance of $388 at an annual rate of 18.39%. This translates to a monthly interest rate of 18.39% / 12 ≈ 1.5325%.Calculating the new balance: Applying one month of interest on the balance, $388 increases by 1.5325% or $388 x 0.015325 ≈ $5.95. Therefore, the balance at the beginning of the seventh month is $388 + $5.95 ≈ $393.95.So, Sheila’s balance at the beginning of the seventh month is approximately $393.95.
The line x+2y=9 intersects the curve xy+18=0 at the points A and B. Find the coordinates of A and B
PLEASE HELP!!
What is the slope of the line represented by the equation 2x+3y= –12 ?
A)–3/2
B)–2/3
C)2/3
D)3/2
Answer:
the correct answer is B.-2/3
Find the length of AC. Use that length to find the length of CD. What is the length of CD? Round to the nearest tenth.
A) 2.3 cm
B) 4.0 cm
C) 10.7 cm
D) 18.6 cm
length of AC = 10 * sin(30) = 5 cm
Length of CD = 5 /tan(25) = 10.7cm
answer is C
Answer
Find out the what is the length of CD , AC .
To prove
By using the trignometric identity
[tex]sin B = \frac{Perpendicular}{Hypotenuse}[/tex]
As in ΔABC
∠ B = 30° , AB= 10 cm
put in the trignometric identity
[tex]sin 30^{\circ} = \frac{AC}{10}[/tex]
As
[tex]sin30^{\circ} =\frac{1}{2}[/tex]
[tex]\frac{1}{2} = \frac{AC}{10}[/tex]
[tex]AC = \frac{10}{2}[/tex]
AC = 5cm
Now in the ΔADC
[tex]tan D^{\circ} = \frac{Perpendicular}{Base}[/tex]
∠ D = 25° , AC = Perpendicular = 5 cm
[tex]tan 25^{\circ} = \frac{5}{CD}[/tex]
tan 25 ° = 0.46630765815 (approx)
[tex]CD = \frac{5}{0.46630765815}[/tex]
CD = 10 .7cm ( approx )
Option (C) is correct .
Chris runs 7 miles in 80 minutes. at the same rate, how many miles would he run in 64 minutes?
Max rode his bike 40 miles in hours.
Which complex fraction can be used to calculate Max’s average speed?
Answer:
40 Miles.
5 hrs.
----------
2
A fair coin is flipped six times. what is the probability that heads occurs exactly 4 times if it is known that heads occurs at least four times?
A fair coin is flipped six times. Then 1/22 is the probability that heads occurs exactly 4 times if it is known that heads occurs at least four times
What is Probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
The probability that heads occurs exactly 6 times if it is known that heads occurs at least four times is
P{H=6|H≥4}
= P{(H=6)∩(H≥4)}/P{H≥4}
= P{H=6}/P{H≥4}
We need to calculate P{H=6}
P{H=6} = C(6,6)(½)6
= (½)6
P{H≥4} = P{H=4} + P{H=5} + P{H=6}
= C(6,4)(½)4(½)2 + C(6,5)(½)5(½) + C(6,6)(½)6
= (½)6[C(6,4) + C(6,5) + C(6,6)]
= (½)6[15 + 6 + 1]
= (½)6(22)
Therefore,
P{H=6|H≥4} = 1/22
1/22 is the probability that heads occurs exactly 4 times if it is known that heads occurs at least four times
To learn more on Probability click:
https://brainly.com/question/11234923
#SPJ5
you have a gift card worth 90$ you want to buy several movies that costs 12$ each. Write and solve an inequality that represents the number of movies you can buy and still have at least 30$ on the gift card
A cylindrical rain barrel has a radius of 2 feet and holds a total of 30 cubic feet of water. How tall is the rain barrel? Use 3.14 for pi. Round your answer to the nearest hundredth.
The height of the rain barrel is required.
The height of the barrel is 2.39 feet.
r = Radius of barrel = 2 feet
V = Volume of barrel = 30 cubic feet
h = Height of barrel
Since, the barrel is cylindrical the volume of the barrel is
[tex]V=\pi r^2h\\\Rightarrow h=\dfrac{V}{\pi r^2}\\\Rightarrow h=\dfrac{30}{3.14\times 2^2}\\\Rightarrow h=2.3885\approx 2.39\ \text{feet}[/tex]
The height of the barrel is 2.39 feet.
Learn more:
https://brainly.com/question/20371974
https://brainly.com/question/22974139