Let, age of Carmen, Antoine and Katy is C, A and K.
And it is given that :
[tex]A - C = 5\dfrac{1}{4}[/tex] …1)
[tex]K-C = 11 \dfrac{1}{2}[/tex] ...2)
We need to find the difference in Antoine's age and Katy's age.
Subtracting equation 2) from 1), we get :
[tex]( A - C ) - ( K-C) =5\dfrac{1}{4} - 11\dfrac{1}{2}\\\\A - K = -6\dfrac{1}{4}\\\\K-A = 6\dfrac{1}{4}[/tex]
Therefore, Katy is [tex]6\dfrac{1}{4}[/tex] years older than Antoine.
A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 6 gallons every 3 days. At this rate, how many days did it take for all 60 gallons of water to leak out of the barrel?
Find m∠1. Then classify the triangle by its angles.
Answer:
110 degrees
scalene triangle
Step-by-step explanation:
Answer:
m<1 = 110°
obtuse triangle
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180° two of the angles are given as 40 and 30 so the third angle is 110° and since one of the angle's measure is larger than 90° we call this triangle obtuse.
B) Use the table of values to determine if this
relationship is linear or non-linear
Answer:
Step-by-step explanation:
what material often called a shooting stars as it enters the Earth’s atmosphere
The following table shows a proportional relationship between mmm and nnn.
mmm nnn
333 212121
555 353535
888 565656
Write an equation to describe the relationship between mmm and nnn.
Answer:
n=7m
Step-by-step explanation:
this answer is good on khan academy
The equation to describe the relationship between m and n will be n = 7m.
What is constant of proportionality?Firstly, there is proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
In order to find an equation between n and m by dividing n/m
m = 3, n = 21
n/m = 21/3 = 7
n = 7m
Now, check using the other two points
m = 5, n = 35
n/m = 35/5 = 7
n = 7m
m = 8, n = 56
n/m = 56/8 = 7
n = 7m
Hence, The equation to describe the relationship between m and n will be n = 7m.
Learn more about proportional relationship variable here:
https://brainly.com/question/13082482
#SPJ2
A kite is flying 40 feet above a stop sign. The child flying the kite is standing 30 feet feet away from the stop sign. How long is the string from the child to the kite?
Answer:
70 feet
Step-by-step explanation:
A kite is flying 30 feet from a stop sign
The child flying the kite is standing 40 feet from the stop sign
Therefore the length of the string from the child to the kite can be calculated as follows.
= 30 feet + 40 feet
= 70 feet
Answer:
50 feet
Step-by-step explanation:
It's supposed to be 30x30= 900, 40x40= 1'600
900+1600=2500. 2500 square rooted= 50
the answer is 50
so sorry to say but ritmeks you're wrong, you don't add them together you multiply them by themselves then add both together then you square root the answer you get from that
Write an expression for the area of this rectangle, multiplying out your answer
(x+3) x (x+2)
Step-by-step explanation:
it should be *(x+3) x (x+2)* because area of rectangle = length x breadth
N - 8 greater than equal to -4
Answer:
N greater than or equal to -12
Step-by-step explanation:
N-8 greater than or equal to -4
N greater than or equal to -4-8
N greater than or equal to -12
Someone able to solve this ? Please
Find zeros of the following equation
4x-3=x+2
Answer:
4x-3=x+2
4x-x=3+2
3x=5
x=5/3
Jose bought 1.5 pound of apples for $3.60. how much would 3/4 of a pound apples cost?
Enter your answer in the box
A new Toyota costs $24,700. The sales taxes is an additional 7.5%. What is the total cost of the car with tax?
Answer:
$26,552.50
Step-by-step explanation:
PLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answer
What is the perimeter of the triangle in units of the triangle formed by the points (-3,1), (-3,5), and (4,1)?
let's say
A(-3,1) B(-3,5) C(4,1)
we need to find the perimeter of ABC for that we find each of the sides
AB BC and AC
there is a formula to find the distance between 2 poins
let's say that a point has the structure A(x1,y1) where x=-3 and y=1 and B(x2,y2) where x2=-3 and y2=5
AB=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
AB=[tex]\sqrt{(-3+3)^2+(5-1)^2}[/tex]
AB=[tex]\sqrt{0^2+4^2}[/tex]
AB=4
we do the same thing for AC and BC
AC=[tex]\sqrt{(4+3)^2+(1-1)^2}[/tex]
AC=[tex]\sqrt{7^2+0^2}[/tex]
AC=7
BC=[tex]\sqrt{(4+3)^2+(1-5)^2}[/tex]
BC=[tex]\sqrt{7^2+(-4)^2}[/tex]
BC=[tex]\sqrt{49+16}[/tex]
BC=[tex]\sqrt{65}[/tex]
The perimeter is equal to the sum of the sides
P=AB+AC+BC=4+7+[tex]\sqrt{65}[/tex]=11+[tex]\sqrt{65}[/tex]
A band is paid $50 for performing at a restaurant. For each customer that eats at the restaurant, the band is paid $2. If the band made $142 in one night, how many customers ate at the
restaurant?
Answer:
There were 46 customers who ate at the restaurant.
Step-by-step explanation:
First we need to subtract the total by how much the ban was paid to perform.
$142 - $50 = $92
$92 ÷ 46 = $2
**help pls, due soon!**
Answer:c
Step-by-step explanation:
its 8 less which would be -8 and then you have to divide p by 2 because its half so it would be p/2-8
Answer:
Step-by-step explanation:
(C) [tex]\frac{p}{2} - 8[/tex]
EXERC
1. Calculate the volume of the shape below:
1 CM
3.5 cm
10 cm. how do u calculate the cylinder
Answer:551.3212cm³
Step-by-step explanation:
Find the image attached
The volume is made up of a cone, cylinder and a hemisphere
Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere
Get the volume of the cone;
Volume of a cone Vc = 1/3πr²h
r is the base radius = 3.5cm
Height = 10cm
Vc = 1/3π(3.5)²(6)
Vc = 1/3π(12.25)(6)
Vc = 12.25 * 2π
Vc = 24.5π cm³
Get the volume of the cylinder;
Vcy = πr²h
r = 3.5cm
h = 10cm
Vcy = π(3.5)²(10)
Vcy = π(12.25)(10)
Vcy = π(122.5)
Vcy = 122.5π cm³
Get rhe volume of the hemisphere;
Volume of hemisphere = 2/3 πr³
r = 3.5cm
Vh = 2/3 π(3.5)³
Vh = 2/3π(42.875)
Vh = 28.58π cm³
Volume of the shape = VC + Vcy + Vh
Volume of the shape = 24.5π+122.5π+28.58π
Volume of the shape = 175.58π
Volume of the shape = 551.3212cm³
If an object on earth weighs 42 lbs, what is its weight on the moon?
Answer:
6.93 lbs.
Step-by-step explanation:
The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.
I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.
Hope this helps! :)
PLEASE HELP DUE IN 30 MINUTES :((
Which best describes the effect on the graph of f(x) = 4x+8 if the y-intercept is changed to -3?
Helpppppplpppo! Hurry hurry
Answer:
I hurried wat
Step-by-step explanation:
wAT
Use the standard algorithm to find the product of 582 and 46.
Answer:
someone plz help this person
Raj has a full deck of 52 cards. Sydney chooses the queen of clubs and holds onto it. Then Yolanda chooses a card. What is the total number of possible outcomes for Yolanda’s card?
36
48
51
52
Answer:
C.) 51
Step-by-step explanation:
1 : the quality or state of being probable. 2 : something (such as an event or circumstance) that is probable. 3a(1) : the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes. Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics. The probability of an event is a measure of the likelihood that the event will occur. The sum of probabilities of all sample points in a sample space is equal to 1. ... The probability of event A is the sum of the probabilities of all the sample points in event A. The probability of event A is denoted by P(A). The probability formula provides the ratio of the number of favorable outcomes to the total number of possible outcomes. The probability of an Event = (Number of favorable outcomes) / (Total number of possible outcomes) P(A) = n(E) / n(S)
There are three major types of probabilities:
Theoretical Probability.
Experimental Probability.
Axiomatic Probability.
n this page you can discover 39 synonyms, antonyms, idiomatic expressions, and related words for probability, like: prospect, odds, unlikelihood, likely, possibility, credibility, likelihood, improbability, contingency, hazard and plausibility.
Answer:
eh hes right the guy above give him brainleist its c
Step-by-step explanation:
PLEASE HELP!!! Trying to figure out what sides D and F are. Need help ASAP, THIS HAS TO BE IN MY MIDNIGHT ON FRIDAY!!! This makes or breaks me passing Geometry.
Thank You!!!
What common side do triangle CDE and triangle FED share?
A ruler is used to measure the width of the spine of a book.
1
2
3
4
5
СМ
Using this ruler, what is the greatest level of precision possible for the measurement of the width of the
spine of the book?
1.00 cm
0 0.10 cm
0.02 cm
0.01 cm
Answer:
1.00 cm Is the greatest level of precision possible for the measurement of the width of the spin of the book
PLEASE HELPP! The diameter of a decorated plate is 20 centimeters. There is a flower painted every 15.7 centimeters around the edge of the plate. How many flowers are painted on the plate? Use 3.14 for
Answer:
4 flowers
Step-by-step explanation:
First we need to calculate the circumference of the plate.
C = πd
Given
diameter d = 20cm
C = 3.14(20)
C = 62.8 cm
If there is a flower painted every 15.7 centimeters around the edge of the plate, the amount of flower on the plate will be;
Number of flower = Circumference of the plate/length of flower
Amount of flower = 62.8/15.7
Amount of flower = 4
Hence there are 4 flowers painted on the plate
Answer:
4
Step-by-step explanation:
Rewrite 2/100 as a percent. *
answer fast please!
The canoe costs $96 for 8 hours. How much does it cost per hour?
Answer:
$12
Step-by-step explanation:
just divide 96÷8=12
Answer: 12
96/8=12
12 is the unit rate per hour
Which real-world story is represented by the problem (-15.85) + 26.58? Check all that apply. (A) Chey returned a CD that cost $15.85 and bought a shirt for $26.58. The sum is the amount the store owes him. (B) Chey returned a jacket that cost $26.58 and bought a book for $15.85. The sum represents the amount the store owes him. (C) Chey bought a shirt that cost $26.58 and a CD that cost $15.85. The sum represents his change. (D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
Answer:
(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
Step-by-step explanation:
Which real-world story is represented by the problem (-15.85) + 26.58?
Comparing the options given below,
The correct option is
(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
This is because, buy a hat that cost $15.85 = -15.85
He has a balance is $26.58 on his credit card.
Hence: $26.58 - $15.85
Hence, option D is correct
Answer:
B & D
Step-by-step explanation:
River collects old coins. He has four
less than twice as many rare nickels as
he does rare quarters. I the face value
of the coins is $3.65, Which system of
equations can be used to find n, the
number of nickels, and ç, the number of
quarters that he has?
a) 25n +59 = 365
29-4=n
b) 5n +59 = 3.65
49 +2=n
c) 5n + 256 = 365
29-4=
d) 5n + 259 = 365
49-2=n
e) 25n +59 = 365
49-2=n
9514 1404 393
Answer:
c) 5n +25q = 365
2q -4 = n
Step-by-step explanation:
The number of nickels (n) is 4 less than twice the number of quarters (q), so one of the equations is ...
2q -4 = n
The face value is 365 cents, so another equation is ...
5n +25q = 365
These equations seem to match choice C.
