First, you know that Jackson (let call her J) scored 42 more points than L (Leslie). What we don't know is how many points L scored so we can use a variable that will be 'x'.
So the equation will be J=42+x.
We also know that the total points is 1,144.
To find out what x is we first subtract 1,144-42. We then get 1,102.
We are now left with 2x and 1,102 so we divide 1,102 by 2 and get 551.
551=x so now we can plug that in.
J = 551 + 42
Jackson scored 593 points and Leslie scored 551 points
(You can use bar modeling to do solve this problem. An example of bar modeling is shown below.
A notebook company makes notebooks with covers in 2 different colors. A school district ordered 301 notebooks in each color. How many notebooks in total did the school district order?
explain how you know whether or not the point (0.75, 0.25) is on the unit circle.
Answer:
The point (0.75, 0.25) is not on the unit circle.
Step-by-step explanation:
The unit circle has radius 1, so:
[tex] {.75}^{2} + {.25}^{2} = .5625 + .0625 = .625 [/tex]
An integer is chosen at random from 1 to 50 inclusive. Find the probability that the chosen integer is divisible by 3. 8/25 3/10 3/50
How many numbers from 1 to 50 are multiples of 3?
3, 6, 9, 12, 15, 18 .......
Let's change the start and end value of the array and find the number of terms
Start at 3 and go all the way to 48 because those are the first and last multiples of 3 in this array.
There is a formula that allows us to quickly find the number of terms
We subtract the first term from the last term and divide by the amount of increase, then we add 1.
(48 - 3) / 3 + 1 = 16 numbers are exactly divisible by 3.
We have 50 numbers and 16 of them divisible by 3
16 / 50 = 8 / 25 probability
The probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
We have the number from 1 to 50.
Total numbers between 1 to 50 or total outcomes = 50
Total favorable outcomes = total number which is divisible by 3
[tex]=\frac{48-3}{3} +1[/tex]
= 15 + 1
= 16
Now probability will be:
= 16/50
= 8/25
Thus, the probability that the chosen integer is divisible by 3 is 8/25 if an integer is chosen at random from 1 to 50 inclusive option first is correct.
Learn more about the probability here:
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Matia claims "When you square any number, the result is always greater than that number." Matia used the example 32 = 9 and 9 is greater than 3
Answer:
[tex] {3}^{2} = 9 \\ \\ 81 = 9[/tex]
Answers:
Choice A) 0
Choice B) 0.5
=======================================================
Explanation:
Matia claims that [tex]x^2 > x[/tex]
However, the claim isn't true when 0 ≤ x ≤ 1.
For example, x = 0 leads to [tex]x^2 = 0^2 = 0[/tex]
Meaning that [tex]x^2 > x[/tex] would update to [tex]0 > 0[/tex] which is false.
------------------
Similarly, if x = 0.5, then
[tex]x^2 > x\\\\0.5^2 > 0.5\\\\0.25 > 0.5 \ \text{which is also false}\\\\[/tex]
Because the last inequality is false, the first inequality must also be false for x = 0.5
-------------------
Those last two previous sections showed that x = 0 and x = 0.5 are counter-examples to Matia's claim to thereby prove it false.
Find a solution to the linear equation –7x+y= –28.
a
Answer:
x=4 + y/7
y= -28 + 7x
Step-by-step explanation:
What is the solution to the equation below?
5x = 2x + 12
O A. x = 4
B. x= 12
C. x= 6
O D. No Solutions
SUBM
Answer:
5x=2x+12
5x-2x=12
3x=12
x=4
A is the coreect one
A cube is sliced as shown. Find the area of the cross section formed by the slice.
Answer: 5√(50) = 35.36 m^2
Step-by-step explanation:
The cross section is a rectangle, so its area formula is: Area = length * width.
If you look, the width is the diagonal of the side of the cube; thus, you can use Pythagorean theorem to find its measurement: a^2 + b^2 = c^2 → 5^2 + 5^2 = c^2 →
50 = c^2 → c = √(50)
Now, use the area formula and get: Area = 5 * √(50) = 5√(50) = 35.36 m^2 :)
Using technology, determine the quarterly payment on a 4 year loan of $16,231 at 5.1% compounded quarterly. round your answer to the nearest cent. a. $1,125.69 c. $1,518.85 b. $1,127.86 d. $1,508.31
The quarterly payment will be $1,127.86
What is compound interest?
Compound interest is the interest on a loan or deposit that levied on both the first principal and the collected interest from past periods.
The amortization formula is ...
[tex]A=\dfrac{P\timesr}{(1-(1+r)^{-n}}[/tex]
where A is the payment amount, P is the principal amount, r is the interest rate per period, and n is the number of periods.
Here, we have
P=$16,231, r=0.051/4=0.01275, n=4·4=16.
So, the payment is ...
[tex]A=\dfrac{16231\times 0.01275}{1-(1.01275)^{-16}}[/tex]
[tex]A=$1127.86[/tex]
Hence the quarterly payment amount is $1,127.86.
To know more about Compound interest, follow
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five whole numbers are written in order
4 6 x y 10
the mean and the median of the five numbers are the same
Answer:
7
Step-by-step explanation:
4+6+7+8+10= 35/5= 7
Median and Mean= 7
Felipe is making triangles for a stained glass window, he made the design shown but wants to change it. Felipe wants to move the purple triangle to the corner. The purple piece has side lengths of 4.5 inches, 6 inches, and 7 inches. Can the purple piece be moved to the corner?
We have sides of triangle as [tex]4.5[/tex] inches, [tex]6[/tex] inches and [tex]7[/tex] inches.
So the sum of square of two smallest side is-
[tex]=4.5^2+6^2[/tex]
[tex]=20.25+36[/tex]
[tex]=56.25[/tex]
Now lets find the value of square of longest side of triangle-
[tex]=7^2[/tex]
[tex]=49[/tex]
Now from both value
[tex]49[/tex] [tex]\neq[/tex] [tex]56.25[/tex]
[tex]7^2[/tex] [tex]\neq[/tex] [tex]4.5^2+6^2[/tex]
So from Pythagoras theorem the given triangle is not a right triangle so it can not moved to the corner.
Thus, Since the triangle is not a right triangle therefore it can not moved to the corner.
Can someone please answer the attachment
Step-by-step explanation:
linear pair
linear pair
alternate angles.
alternate angles
cointerior angles
I will hope that you like my answer
Please Hurry! I will award the first person right the brainlyest award
Answer:
y = -3
Step-by-step explanation:
When you graph it on a graphing calculator or on desmos, it appears to be at y = -3
each team in a youth soccer league pays $784 to join the league. if a team consists of 12 players and the fee is divided equally among the players, how much does each player pay?
Answer:
$65.33
Step-by-step explanation:
12x = 784
÷12 ÷12
x = 65.33
They would each have to pay $65.33.
I hope this helps!
Find x y and z.
please give answer as fast as possible to get marked BRAINLIEST
Answer:
X = 64
Y = 18
Z = 98
Step-by-step explanation:
Angles on a straight line always add up to 180 Degrees
Vertical Opposite Angles are equal to each other
X = 64
Y = 18
Z = 180 - 64 - 18 = 98
help me on both questions as attached below.
Also it's workings on how to get that if possible
Answer:
a) 160km
b) it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes
Step-by-step explanation:
a) d=speedxtime
so, 64x2. 5=160km
b) time=d/s
so, 160/50
it will take 3.2 hours or 192 minutes or 3 hours and 12 minutes
PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLEIST
Answer:
b ≈ 18.3303
[tex]b = \sqrt{{c}^{2} - {a}^{2} } [/tex]
[tex]b = \sqrt{ {19}^{2} - {5}^{2} } [/tex]
[tex]b = 18.3303[/tex]
help me please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Febuary 10th because on the left colom it showss the dates just look for the 10
The angle of elevation to the top of a Building in New York is found to be 4 degrees from the ground at a
distance of 2 miles from the base of the building. Using this information, find the height of the building.
Write the equation for circle below
Answer:
Step-by-step explanation:
If p
=
1
2
, q
=
−
1
3
and r
=
1
5
, evaluate the following expression:
30
p
q
r
(
p
+
q
+
r
)
(
p
+
q
)
(
p
+
r
)
Answer:
26535600
Step-by-step explanation:
This took so much work to get into a format I could read hahaha!
I hope it helps!
30 x 12 x -13 x 15(12+-13+15)(12+-13)(12+15) = 26535600
There are 221 students on a field trip.
. Five students ride in a van.
. The rest of the students fill 6 buses.
Enter an equation that can be solved to find the number of students, s, that are on each bus. Enter your response in
the first response box.
Enter the number of students that are on each bus. Enter your response in the second response box.
The equation that models the students is a linear equation
The equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36
How to determine the equation?The given parameters are:
Students = 221
Van = 5
The rest students = 6 buses
Start by calculating the number of students remaining:
Remaining students = 221 - 5
Remaining students = 216
Represent the number of students in each bus with x.
So, we have:
6 buses * x = Remaining students
This gives
6x = 216
Divide both sides by 6
x = 36
Hence, the equation that models the number of students in each bus is 6x = 216, and the number of students in each bus is 36
Read more about linear equations at:
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-12 = -3y
How to Solve?
Answer:
y = 4
Step-by-step explanation:
Given:
[tex]-12=-3y[/tex]
Solve:
[tex]\mathrm{Divide\:both\:sides\:by\:}-3[/tex]
[tex]\frac{-3y}{-3}=\frac{-12}{-3}[/tex]
[tex]\mathrm{Simplify}[/tex]
Note: Negative + Negative = positive
y = 4
~lenvy~
Knowing that ΔBIG ≅ ΔFNS, an angle pair that is NOT necessarily congruent is:
Knowing that ΔDAL ≅ ΔEKS, a side pair that is NOT necessarily congruent is:
solutions:
1) G ≅ F
2) DA ≅ ES
Explanation:
Q)1
ΔBIG ≅ ΔFNS
pairs that are congruent:
B ≅ FI ≅ NG ≅ SFrom the list given,
→ G ≅ F is not necessarily congruent.
Q)2
ΔDAL ≅ ΔEKS
pairs that are congruent:
DA ≅ EKAL ≅ KSDL ≅ ESFrom the list given,
DA ≅ ES is not necessarily congruent.
Usually the congruence is done according to naming
So
∆BIG≅∆FNS<B=F
<I=<N
<G=<S
Option A#2
Check the naming
∆DAL≅∆EKSSo
DA=EK
And DA may not be equal to ESSo option D
Actually help PLSS
(will give brainliest)
Let's see point E in its original position: (3.-4)
Now lets transform the point (x,y) --> (x + 8, y +5)
(3, -4) --> (3 + 8, -4 + 5) --> (11, 1)
Therefore coordinate E's new position is (11, 1)
Hope that helps!
its literally 15 points
How do i find lateral area?
dont answer in a confusing way please i just need to understand this :(
Answer:
There are many areas but
Step-by-step explanation:
Area of square is L × W
where you multiply both length × width you get the answers squared
Area of a cube is L × W × H
this is where you multiply all length × width × height and get the answer cube
I have 936 pencil . A box holds a dozen pencil . How many boxes will I be able to fill
Answer:
you will fill 78 boxes
Step-by-step explanation:
dozen = 12
936 divided by 12=78
select all fo the expressions that are equivilent to 6x + 1 -(3x-1)
6x+1-(3x-1)
6x+1-3x+16x-3x+1+1=3x+2
what is the slope of the line on the graph need answer ASAP please thank you I'm in k-12
Find the probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice
Answer:
19.308
Step-by-step explanation:
The probability of throwing a sum of 10 at least 7 times in 9 throws of a pair of fair dice is 0.083
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
We assume that the probability of throwing a sum of 10 in a pair of fair dice is
[tex]\frac{n(5,5)(6,4)(4,6)}{n\: all\: events}[/tex]
= 3/36
= 0.083
Learn more about probability here;
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These two pentagons are similar.
If two pentagons are similar, then their sides are proportional. To find PT, we'll need to set up a proportion.
AE / PT = AB / PQ
---There are many ways to set up this proportion, it just depends on what side lengths you have and ensuring that they match up on both shapes.
6 / x = 5 / 12.5
5x = 75
x = 15
Length of PT = 15 cm
Option C
Hope this helps!