The integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.
What is an integer?it is defined as the whole number it can be a negative whole number or a positive whole number for example 2, 4, 1, -8, 0, etc.
It is given that:
Roger owes his father $15. He borrows another $25 from him.
As we know, the number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
The amount Roger owes = $15
Roger borrows = $25
Total debt = -15 + (-25)
Total debt = -$40
The above integer represents the balance that he owes his father.
Thus, the integer -40 represents the balance that he owes his father if Roger owes his father $15. He borrows another $25 from him.
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(b) Factorize: x2 - 49
Answer:
(x+7)(x-7)
Step-by-step explanation:
This one has the standard shape of a²-b², therefore its factorization is (a+b)(a-b).
Answer:
(x-7)(x+7)
Step-by-step explanation:
x^2 = x * x
-49 = -7 * 7
(x-7)(x+7)
Part A: Is triangle PQR similar to triangle PAB? Explain using what you know about triangle similarity. (5 points) Part B: Which line segment on triangle PAB corresponds to line segment QR? Explain your answer. (3 points) Part C: Which angle on triangle PAB corresponds to angle Q? Explain your answer. (2 points)
Note: for similar triangle all the corresponding angle must be equal and the corresponding side are proportional
line AB segment on triangle PAB corresponds to line segment QR.
Part C: <Aangle on triangle PAB corresponds to angle Q
Answer: Note: for similar triangle all the corresponding angle must be equal and the corresponding side are proportional
line AB segment on triangle PAB corresponds to line segment QR.
Part C: <Aangle on triangle PAB corresponds to angle Q
Step-by-step explanation:
A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
Answer: the representative sample contained more adults than children
Step-by-step explanation:
The options are:
a. The representative sample contained all 200 tourists.
b. The representative sample contained more adults than children.
c. The representative sample contained more children than adults.
d. The representative sample contained an equal number of adults and children.
Number of adults = 150
Number of children = 50
Total = 150 + 50 = 200
Probability of choosing an adult = 150/200 = 0.75
Probability of choosing a child = 50/200 = 0.25
The above shows that the representative sample contained more adults than children. This can be seen in the explanation above as number of adults is thrice that of children.
Answer:
A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?
the representative sample contained more adults than children
Step-by-step explanation:
The options are:
a. The representative sample contained all 200 tourists.
b. The representative sample contained more adults than children.
c. The representative sample contained more children than adults.
d. The representative sample contained an equal number of adults and children.
Number of adults = 150
Number of children = 50
Total = 150 + 50 = 200
Probability of choosing an adult = 150/200 = 0.75
Probability of choosing a child = 50/200 = 0.25
The above shows that the representative sample contained more adults than children. This can be seen in the explanation above as number of adults is thrice that of children.
five less than the product of seven and a number is the same as 13
Answer:
Step-by-step explanation:5-7+13
3. 432 is divisible by (1 point)
O only 2.
O only 3.
O2 and 3.
Answer:
Only two and Three!
Step-by-step explanation:
423 is divisible by the prime number two!
423 divided by 2 is 216
432 is also divisible by three!!
432 divided by three is 141
The number 432 is divisible by 2 and 3 both as its unit digit is even and the sum of the digits is 9.
What is the divisibility rule?By the divisibility rule, we can determine whether numbers are divisible by some other numbers or not without dividing.
We know a number is divisible by 2 if its unit digit is even and a number is divisible by 3 if the sum of the digits is divisible by 3.
Given number is 432 unit digits even, therefore, it is divisible by 2,
and the sum of the digits is 9 so it is also divisible by 3.
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Solve v+8<3 or -8v-40 .
Uhm I need help.. If I threw a ball vertically at an initial speed of 34.5 m/s, how many seconds would it take to reach its maximum height?
Answer:
3.8 seconds to reach the maximum height
Hope I helped have a nice day!:)
Step-by-step explanation:
Erick ordered 4 new DVDs by mail. Each costs the same amount and there
was an additional $5 shipping charge that brought the total to $33.
What was the cost of one DVD?
mil Movin at Mayfair, Zal bought a drink for
Answer: $7 each
Step-by-step explanation: 33-5=28 28/4=7
find the roots of the equation (t+1)2 +(t-8)2=45
a.-5,-2 b.3,4 c. 5,2 d. 2,-3
t2 +2t+2+t2 _16t+64=45
2t2_14t+65=45
2t2_14t +20=0
(2t_4)(t_5)=0
t=2 t=5
answer is C.5,2
At noon, the temperature was 5 degrees Celsius. By late afternoon, it has risen 6 degrees Celsius. What was the temperature late in the afternoon?
Answer:
11 degress celcius
Step-by-step explanation:
there was an original 5 but it increased by 6
5 + 6 = 11
11 degrees celcuis
Answer:
11 degrees Celsius
Step-by-step explanation:
5+6=11
help will mark brainlist
1. Identificamos los coeficientes a, la b y la c
a = 1 ( está al lado de
2
)
b = -8 ( está al lado de X )
c = 7 (término independiente)
Answer:
I don't speak Spanish I'm Sorry
Identify a set of parallel and a set of perpendicular lines in this image.
Please helppp
Answer:
The third answer choice
Step-by-step explanation:
The two parallel lines are BF and CG the perpendicular are AD and BF because the first sets are side by side and the second sets cross each other at a certain point.
Which expression could you write to show how to multiply 9 x 856 using place vale and expanded form.
how do i do xy=4
2x-y+2=0
i'm solving by substition
so I think the answer is very difficult ask to someone else
Step-by-step explanation:
xy=4
2x-y+2=0
Use the Properties of Equality to solve each equation
A - 6 = 19
A. 25
B.13
C.-13
D. -25
Answer:
A-6 =19
A= 19+6
A= 25
Write 360.124 in expanded and exponential form both
Step-by-step explanation:
Expanded 300+60+.1+.02+.004
exponential you can't have on if you don't have an exponent
The area of a door is 3024 square inches. If the length of the door is 48 inches longer than the width of the door, what is the width of the door?
Answer:
The width of the door is 36 inches
Step-by-step explanation:
The given parameters are;
The given area of the door = 3024 in.²
The length of the door = 48 + The width of the door
Let W represent the width of the door
Therefore, we have;
The length of the door = 48 + W
The area of the door = The length of the door × The width of the door
∴ By substitution, the area of the door = 3024 = W × (48 + W)
3024 = W × (48 + W) = 48·W + W²
48·W + W² = 3024
∴ 48·W + W² - 3024 = 0
Rearranging, we get;
W² + 48·W - 3024 = 0
By trial and error, we have;
(W + 84)×(W - 36) = 0
Therefore, given that the width of the door is a natural number, we have;
The width of the door, W = 36 inches
Jasmine sells bracelets at a local jewelry store in South Dekalb Mall. She has 1,190 purple beads and 2,125 pink beads. Each bracelet can hold 85 beads, how many bracelets can she make
Answer:
39
Step-by-step explanation:
1190 + 2125 = 3315 (number of beads)
3315/85 = 36 (number of bracelets jasmine can make)
Which is the equation of the same line as y = 3x - 8?
A. 3x - 2y = 8
B.-3x - 2y = -8
C. 6x - y = 16
D. 6r - 2y = 16
Answer:
letter c. 6x-y=16
Step-by-step explanation:
What is the correct justification for the indicated steps?
Step C:
Step D:
Step E:
Answer:
Step C: distributive property
Step D: Tringonometric Sum Identity
Step E: Factoring
Step-by-step explanation:
The correct justification for the indicated steps:
Step C: distributive property Step D: Tringonometric Sum Identity Step E: FactoringThus, the Proof of de Moivre's Theorem is distributive property, Tringonometric Sum Identity and factoring.
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PLEASE HELP!!!!! PLEASE LOOK AT MY DOCUMENT AND HELP ME!!! I AM NOT UNDERSTANDING THIS AND I NEED TO GET MY GRADE UP!!
If 15% of x equals 20% of y, what percentage of x is y?
Answer:
Step-by-step explanation:15 % of x = 20%of y , 15 x =20 y , x÷y =20 ÷15 , let x =15 and y = 20 , y has 3÷4 amount of x ,
Brian and Colin are marking exam papers. Each set takes Brian 40 minutes and Colin 1 hour. Express the times Brian and Colin take as a ratio.
Give your answer in its simplest form.
Answer:
2:3 in the simplest form
Step-by-step explanation:
40/60
2/3=2:3
After taking typing lessons for three months, Johanna can type 285 words in five minutes. How many words can she type in 13 minutes?
Answer:
Hello,
-First find the unit rate, 285 divided by 5
since she can type 285 words in 5 minutes
the unit rate is 57 words per minute
-now multiply that by 13
57 times 13
741 words in 13 minutes
-Hope this helps
True or false: Sequences of rigid motions can be applied to any type of polygon.
Answer:true
Step-by-step explanation:
how to find
range
mode
median
mean
Answer:
- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!
branliest?
Step-by-step explanation:
Answer:
RANGE = Highest number - lowest numberMODE = Total number of numberMEDIAN = {(n+1)÷2}th valueMEAN = €x/N7 – d > 10 SHOW ALL WORK
Answer:
d < -3
Step-by-step explanation:
7 - d > 10
(-7) (-7)
-d > 3
(dived both sides by -1, when dividing or multiplying both sides by a negative number the inequality sign changes)
d < -3
Find the sum or difference.
(4y + 3) - (y – 2)
SHOW ALL THE WORK THAT YOU DID TO FIND THIS ANSWER for points!
Answer:
3y + 5
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
(4y + 3) - (y - 2)
Step 2: Simplify
Distribute negative: 4y + 3 - y + 2Combine like terms (y): 3y + 3 + 2Combine like terms (Z): 3y + 5formulae for perimeter of a rhombus
Answer:
perimeter= 4a
a= sides