Answer:
Clara's number is 42 less than Anna's number
Step-by-step explanation:
We can start this problem out by setting our variables up:
A= Anna's number
B= Boris's number
C= Clara's number
so we can use them to build our equations. We can sepparate the problem into little more understandable pieces of information, let's start with the first piece of information:
- "Ana's number increased by 20"
A+20
- "boris's number decreased by 22"
B-22
- "21 greater than boris's number decreased by 22."
(B-22)+21
- "Ana's number increased by 20 is 21 greater than boris's number decreased by 22."
A+20=(B-22)+21
This is our first important equation here. Let's go with the second part of the problem:
- "Boris's number decreased by 20"
B-20
- "claras number increased by 22"
C+22
- "21 greater than claras number increased by 22"
(C+22)+21
Now the whole thing:
"Boris's number decreased by 20 is 21 greater than claras number increased by 22."
B-20=(C+22)+21
This is our second important equation.
So now we have the following system of equations:
A+20=(B-22)+21
B-20=(C+22)+21
We can now simplify the equations by combining like terms so we get:
Equation 1:
A+20=(B-22)+21
we can get rid of the parenthesis so we get:
A+20=B-22+21
We can subtract a 20 from both sides of the equation so we get:
A=B-22+21-20
We perform the subtractions so we get:
A=B-21
Equation 2:
B-20=(C+22)+21
We get rid of the parenthesis:
B-20=C+22+21
We add a 20 to both sides so we get:
B=C+22+21+20
We can now perform the additions so we get:
B=C+63
And now we can combine the equations. In this case we can substitute equation 2 into equation 1 to get:
A=C+63-21
We combine like terms to get:
A=C+42
We can subtract 42 from both sides to get:
C=A-42
which reads:
Clara's number is 42 less than Anna's number.
Question 3
Write the rational number as a decimal.
Answer: -2.2
Step-by-step explanation:
-10 is the most possible that can be divided by 5, resulting in -2.
The leftover 1 is divided by 5, resulting in .2.
The decimal ends up being -2.2.
Answer:
-2.2 or -1.2
Step-by-step explanation:
When you want to write a decimal as a fraction, you simply divide the numerator with the denominator. So when you divide -11 by five that would be a -2.2. Or if it is -1 1/5 the answer would be -1.2. I cant really tell what that number is.
*WILL GIVE BRAINLIEST FOR THE BEST ANSWER NO VIRUS LINKS OR ILL REPORT YOU*
Which of these statements best describes a biased sample?
A. The sample is small
B. The sample has results that are incorrect predictions
C. The sample does not accurately represent the population
D. The sample was chosen randomly
Answer:
C) The sample does not accurately represent the population
Answer:
C
Step-by-step explanation:
If you go to go o g l e and search up "bias sample examples" it will give you examples! I hope I helped :)
A negative number with an absolute value less than
-4 and 4 was incorrect so no about those
Answer:
what are u trying to say
Step-by-step explanation:
Write the expression representing the total number of miles run: Jazmin ran 3 miles on Monday. For the next 4 days, she ran x miles each day.
Answer:
4 + x
Step-by-step explanation:
In a survey of 232 students, about 5.5% have attended more than one play. Which is closest to the number of students in the survey who have attended more than play? 5 7 13 16
Answer:
13
Step-by-step explanation:
Number of students that attended more than play = percentage of students that attended more than play x total number of students
5.5% x 232
0.055 x 232 = 12.76 students
to round off to the nearest whole number, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
Since the first term is 7 which is greater than 5, 1 would be added to it.
This gives 13
Ben and Leonidas are twins who are both in Hufflepuff. Ben is ready first,
so he leaves the common room and starts flying to class at an average
speed of 20 km per hour. Half an hour later, Leonidas leaves the common
room on his Firebolt 3000 sports broom and follows the same route,
traveling at an average speed of 70 km per hour. How many minutes will it
take Leonidas to catch up with Ben, starting from when Leonidas leaves
the house?
11 minutes
O 12 minutes
17 minutes
O 20 minutes
Answer:
17 minutes
Step-by-step explanation:
1: The local street cart sells bacon egg and cheese sandwiches for $2.50,
and soft drinks for $0.75. The street vendor made a total of $933 after
selling a total of 747 sandwiches and soft drinks. (5 points)
HELP QUICK
Answer:
213 sandwiches
534 soft drinks
Step-by-step explanation:
system of equations, if you want better explanation, hmu in the comments.
Reggie deposited $1200 into an account that earns 5% compound interest yearly if he does not deposit any more to the account or take any money out of the account how much interest will Reggie earn on his investment at the end of four years round your answer to the nearest whole number
Answer:
$1,440
Step-by-step explanation:
1,200 / 10 = 120. 120 is 10%. So this means that 5% is $60. 60 x 4 = 240.
1,200 + 240 = 1,440
James has a sidewalk that runs through his flower garden. He needs to put more mulch in the flower garden. If one bag of mulch covers 4 square yards, how many bags of mulch will he need?
Answer:
See Explanation
Step-by-step explanation:
Given
The given proportion can be represented as:
[tex]1\ bag = 4yd^2[/tex]
Required
The additional number of mulch needed
The question has incomplete details, as the amount of mulch he has applied and the area of the flower garden are not given.
So, I will make some assumptions to solve this question.
Let the area of his flower garden be x.
So, we have:
[tex]1\ bag = 4yd^2[/tex]
[tex]y = x\ yd^2[/tex]
Cross multiply
[tex]4yd^2 * y = xyd^2 * 1\ bag[/tex]
Make y the subject
[tex]y = \frac{x\ yd^2 * 1\ bag}{4yd^2}[/tex]
[tex]y = \frac{x* 1\ bag}{4}[/tex]
[tex]y = \frac{x}{4}\ bag[/tex] --- This represents the total amount of mulch required for the flower garden
--------------------------------------------------------------------------------------------------------
Assumptions
Assume that [tex]x = 16[/tex],
So, we have:
[tex]y = \frac{x}{4}\ bag[/tex]
[tex]y = \frac{16}{4}[/tex]
[tex]y = 4[/tex]
i.e 4 bags are needed.
Assume he has applied 2 bags already.
The number of bags needed to apply will be:
[tex]y - 2[/tex]
[tex]y - 2 = 4 - 2[/tex]
[tex]y - 2 = 2[/tex]
2 more bags needed
--------------------------------------------------------------------------------------------------------
What is 7.37 as a fraction
Answer:
737/100
Step-by-step explanation:
Solve 8y - 9 = -3y + 2
Answer:
y=1
Step-by-step explanation:
8y-9=-3y+2
-2
8y-11=-3y
-8y
-11=-11y/-11
Answer:
y=1
Step-by-step explanation:
8y+3y=2+9
11y/11=11/11
y=1
y=225(1.23)^2
growth or decay
Answer:
Growth
Step-by-step explanation:
You can simply look at this and say that this is growth because the number in the parenthesis is greater than 1.00.
It would only be decay if the parenthesis^2 resulted in a number less than 1
Help this is due in 2 minutes
What is the area of the triangle?
2
Answer:
the asnwer is 36!
Step-by-step explanation:
Answer:
the area of triangle is
Step-by-step explanation:
A=h{b} b
2=2·6
2=6
Where will the reflection of A over the y-
axis be?
Quadrant
Duadrant
Quadrant V
Duadrant
Answer:
The reflection will be on the first quadrant
Step-by-step explanation:
Here, we want to reflect the given point over the y-axis
By reflecting over the y-axis, we simply have to negate the x-coordinate value
So after the reflection, the point (-8,5) becomes (8,5)
(8,5) is a point on the first quadrant
So we have the position after the reflection on the first quadrant
X=-b +b squared -4ac
2a
Answer:
if you go to Khan Academy they put their lessons into video and thoroughly explain everything!
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you!
let f(x) = x-4 and g(x) = (x-4)^3
find the sum of the area enclosed by the graphs
Of F and g between x=3 and x=5
Two intersecting segments form the diagonals of a quadrilateral. What additional information do you need to
know about the diagonals to prove that the quadrilateral is a parallelogram?
a.they must be perpendicular
b.they must bisect each other
c.they must intersect in the center of the quadrilateral
d.they must be congruent
Answer:
B. They must bisect each other
Step-by-step explanation:
Found the answer on quizziz
what is the volume to the composite figure.
Answer:
462 [tex]cm^{3}[/tex]
Step-by-step explanation:
Rectangular Prism: 7 x 8 x 6 = 336
Triangular Prism: (0.5 x 7 x 6) x 6 = 126
336 + 126 = 462
Tú tienes la mitad de lo que tenías y tendrás el triple de lo que tienes. Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tú tendrás ¿Cuánto tenías? Ayuda por favor
Answer:
Nosotros teníamos 120 dólares.
Step-by-step explanation:
Sean [tex]x[/tex], [tex]y[/tex], [tex]z[/tex] lo teníamos, lo que tenemos y lo que tendremos, respectivamente. A continuación, traducimos puntos claves del enunciado en expresiones matemáticas:
(i) Tu tienes la mitad de lo que tenías:
[tex]y = \frac{1}{2}\cdot x[/tex] (1)
(ii) Tendrás el triple lo que tienes:
[tex]z = 3\cdot y[/tex] (2)
(iii) Si tuvieras lo que tienes, tenías y tendrás, tendrías lo que yo tengo que es 180 dólares más de lo que tu tendrás:
[tex]x+y+z = z + 180[/tex]
[tex]x + y = 180[/tex] (3)
En consecuencia, tenemos el siguiente sistema de ecuaciones lineales:
[tex]\frac{1}{2}\cdot x -y = 0[/tex] (1)
[tex]3\cdot y - z = 0[/tex] (2)
[tex]x + y = 180[/tex] (3)
La solución del sistema de ecuaciones es: [tex]x = 120[/tex], [tex]y = 60[/tex], [tex]z = 180[/tex].
Nosotros teníamos 120 dólares.
Determine if they following is systems of equations?
y = 3x + 2
y = 7x -10
Answer:
Yes it is.
Step-by-step explanation:
Please help Tameca already has $55 dollars in her savings account. If she puts $5 per week in her account, write and solve an inequality to find out how many weeks she must save to have at least $100 in her account.
Answer:
x=9
Step-by-step explanation:
55+5x=100. -subtract 55 from 100
5x=45. - divide 45 by 5
x=9
Complete the square to find the vertex of this parabola. Please help will mark brainliest!
When heat energy is increased for a substance the ______?
HELP!!
Answer:
molecules speed up
Step-by-step explanation:
temperature has a strong affect of the movement of molecules
HELP I NEED HELP ASAP
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HELP I NEED HELP ASAP
9514 1404 393
Answer:
B. (2, 1)
Step-by-step explanation:
As a first guess you might say the right angle will be at the point that has the x-coordinate of A (2) and the y-coordinate of B (1).
You notice that the point (2, 1) is on the list of answer choices, so that is a good choice.
The coordinates of C could be (2, 1).
__
Or, you can plot the points and see what forms a right triangle.
Which inequality represents the stated situation :
A bus is made to carry a maximum of 85 passengers.
p ≤ 85
p > 85
p < 85
p ≥ 85
Answer: p ≤ 85
Step-by-step explanation: The value of p cannot be greater than 85 but can be equal to or less than 85.
Movers are filling the truck below with cube shaped boxes. If each box has edge lengths of 12 yard, how many total boxes will fit in the truck? L: 3 1/2 yds W: 5 yds H: 2 1/2 yds
Answer:
14boxes
Step-by-step explanation:
Given the following
Length of truck: 3 1/2 yds
Width of truck: 5 yds
Height of truck: 2 1/2 yds
Volume of truck = Length * Width * Height
Volume of truck = 3 1/2 * 5 * 2 1/2
Volume of truck = 7/2 * 5 * 5/2
Volume of truck = 7/4 cubic yards
For each box
Length L = 1/2 yd
Volume of each box = 1/2 * 1/2 * 1/2
Volume of each box = 1/8 cubic yds
Since 1 box = 1/8 cubic yds
x box = 7/4 cubic yds
Cross multiply
1/8x = 7/4
Cross multiply
4 * x = 7 * 8
4x = 56
x = 56/4
x = 14
Hence the total boxes that can fit in the trunk is 14boxes
If the interest 4,000 for 4 years is 1,280 what is the interest rate
Answer:
For example, with a $4,000 deposit and an annual interest rate of 8 percent, the simple interest after four years would be $1,280. This is calculated by multiplying the principal (P) by the rate (R) and by the rate of time (T): 4,000 x 0.08 x 4 = 1,280.
Step-by-step explanation:
I hope the answer help you
What is the measure of angle C?
45°
с
35
B
A 10°
B
80°
C 100°
D
180°
Answer:
100°
since being sum of angles of triangle
Alicia’s family wants to save for a four-year college education for her. After some research, they estimate that the total cost will be about $78,000. How much should her family save if she is 12 years old and plans to go to college in 6 years?
Select one:
$6,500 each month
$1,100 each month
$4,350 each month
$550 each month
Answer:
Step-by-step explanation:
$1,100