Answer: Jackson has $75
Step-by-step explanation:
Step 1
Let the amount of money Christabelle has = x
Let the amount of money Jackson has = 3x
and the amount of money Janessa has= 3x+ 263
Such that the total money they all have which = $438 be expressed as
Christabelle's money +Jackson's money + Janessa's money= $438
x+ 3x+ 3x+ 263 = 438
Step 2 ---Solving
x+ 3x+ 3x+ 263=438
7x= 438-263
7x=175
x =175/7
x=25
Therefore,
Christabelle = $25
Jackson = 3x= 3 x25 = $75
Janessa= 3x+ 263= $75+263=$338
A billiard ball is struck by a cue. It travels 100 cm before ricocheting off a rail and traveling another 100 cm into a corner pocket. The angle between the path as the ball approaches the rail and the path after it strikes the rail is 45 degrees. How far is the corner pocket from where the cue initially struck the ball?
Answer:
76.53 cm
Step-by-step explanation:
From the question, the triangle formed has 2 sides and an included angle ;
Angle, θ = C = 45°
We use cosine rule :
Taking the side to find as c
a = 100 ; b = 100
From cosine rule :
c = sqrt(a² + b² - 2abCosC)
c = sqrt(100² + 100² - 2(100*100)Cos45
c = sqrt(10000 + 10000 - 20000 * 0.7071067)
c = sqrt(20000 - 14142.135)
c = sqrt(5857.865)
c = 76.536690
c = 76.53 cm
x(3x - 5) please and 5x(x - 3y) urgent !
Answer: 3x^2-5x
5x^2-15xy
Step-by-step explanation:
Answer:
3x² - 5x & 5x² - 15 xy
Step-by-step explanation:
1) x(3x - 5)
x × 3x - x × 5 (take the brackets out)
3x² - 5x.
2) 5x (x - 3y)
5x × x - 5x × 3y (take the brackets out)
5x² - 15 xy
x + 3y = 2
-x + 2y = 3
Can somebody help me?
please help i will make brainleist if your correct also pls show answer
Answer:
Step-by-step explanation:
1.
6 * 6 = 36
6 * 6 / 2 = 18
4(18) = 72 (4 triangles)
SA = 36 + 72 = 108 in^2
2.
11 * 4.5 = 49.5
2(49.5) = 99 (2 flaps)
7 * 4.5 = 31.5
2(31.5) = 63 (2 flaps)
11 * 7 = 77
2(77) = 154 (2 flaps)
SA = 99 + 63 + 154 = 316 in^2
3.
25 * 25 = 625
6(625) = 3750 (6 squares)
SA = 3750 ft^2
4.
40 * 60 = 2400
3(2400) = 7200 (3 flaps)
25 * 40 /2 = 500
2(500) = 1000 (2 flaps)
SA = 7200 + 1000 = 8200 cm^2
5.
15 * 9 = 135
3(135) = 405 (3 flaps)
8 * 9 /2 = 36
2(36) = 72 (2 flaps)
SA = 405 + 72 = 477 in^2
6.
9 * 12 = 108
10 * 9 /2 = 45
2(45) = 90 (2 flaps)
12 * 10 /2 = 60
2(60) = 120 (2 flaps)
SA = 108 + 90 + 120 = 318 mm^2
Herman buys a mountain bike priced at $525.90 If the sales tax is 10%,what will be the total cost including tax?
Answer:
$578.49
Step-by-step explanation:
$525.90×0.1=$52.59
$525.90+$52.59=$578.49
Sac had a rope that was 15 feet long. He cut it into three pieces. The first piece was 3.57 feet longer than the second piece. The third piece was 2.97 feet longer than the second piece. How long was the third piece of rope?
Answer:
5.79 feet
Step-by-step explanation:
Let us represent
First piece = x
Second piece = y
Third piece = z
Sac had a rope that was 15 feet long.
x + y + z = 15
He cut it into three pieces.
The first piece was 3.57 feet longer than the second piece.
x = 3.57 + y
The third piece was 2.97 feet longer than the second piece.
z = 2.97 + y
How long was the third piece of rope?
x + y + z = 15
3.57 + y + y + 2.97 + y = 15
3y + 6.54 = 15
3y = 15 - 6.54
3y = 8.46
y = 8.46/3
y = 2.82 feet
Therefore, the length of the third piece z = 2.97 + y
z = 2.82 + 2.97
z = 5.79 feet
Put these in descending order
-6/7,|8-9|,-|-6|
Answer:
-6/7,1,-6
1, -6/7, -6
Step-by-step explanation:
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Answer:1/3
Step-by-step explanation:
Approximately 0.02 Love north Atlantic lobsters are born blue color out of 5000 Atlantic lobsters how many would you expect to be in blue color
Answer: 100 blue Atlantic lobsters
Step-by-step explanation:
Approximately 0.02 Atlantic lobsters are born blue.
0.02 in percentages is 2%.
Out of 5,000 Atlantic lobsters therefore, 2% will be born blue.
The number of blue lobsters expected is:
= 5,000 * 2%
= 100 blue Atlantic lobsters
what is the measure of angle DEF.
Answer:
DEF = 31.8
Step-by-step explanation:
90 - 58.2 = 31.8
Answer:
Angle DEF = 31.8°
Step-by-step explanation:
The complete angle is a right angle, or 90° angle. To find DEF, you can just do 90° - 58.2° = 31.8°
The volume of a cone is 300 cubic
centimeters. A cylinder has the same radius
and height as the cone. What is the volume
of the cylinder?
What is the measurement of ABC?
Answer:
118°
Step-by-step explanation:
because 28 + 90 = 118
what is 28/10 as a proper fraction
Answer:
Step-by-step explanation:
28/10 as a proper fraction.
28/10 is an improper fraction so you have to turn it into a proper fraction.
To do this divide the numerator (top figure) by 10 (the denominator) which equals 2.8 so to put it as a proper fraction you look at the whole number in 2.8 which is the 2 and keep the number after the decimal point as a fraction over the 10.
The answer would be 2 8/10
Lisa purchased a $30.00 gift for a birthday party. She uses a coupon that offers 30% off.
How much will Lisa spend on the gift after using the coupon?
A. $15.00 B. $21.00
C. $58.50
Answer:
B. $21.00
Step-by-step explanation:
The difference is $9.
the answer is B.21.00 :)
convert (-5√3,0) into polar form in radians in terms of π over the interval 0≤theta<2π
Answer:
z = 5√3(cos 0 + isin0)
Step-by-step explanation:
Convert (-5√3,0) into polar form in radians in terms of π over the interval 0≤theta<2π
The rectangular form is expressed as z = -5√3 + 0i
z = √(-5√3)² + 0²
z = √(25(3))
z = √75
z = 5√3
Get the argument
theta = tan^-1 0/-5√3
theta = tan^-10
theta = 0 degrees
Hence the polar form is expressed as z = r(cos theta + i sintheta)
z = 5√3(cos 0 + isin0)
x – 18 = 96
x = [a]
Uhh plz help
Find the area of the figure.
22;
yd
21 syd
The area of the figure is
lyd?
Answer:
area = 462
Step-by-step explanation:
15x^2 + 41x + 28
STEP BY STEP ANSWER PLSSS
Answer:
(3x+4)(5x+7)
Step-by-step explanation:
15x^2 +41x+28
Factor the expression by grouping. First, the expression needs to be rewritten as 15x^2 +ax+bx+28. To find a and b, set up a system to be solved.
a+b=41
ab=15×28=420
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 420.
1,420
2,210
3,140
4,105
5,84
6,70
7,60
10,42
12,35
14,30
15,28
20,21
Calculate the sum for each pair.
1+420=421
2+210=212
3+140=143
4+105=109
5+84=89
6+70=76
7+60=67
10+42=52
12+35=47
14+30=44
15+28=43
20+21=41
The solution is the pair that gives sum 41.
a=20
b=21
Rewrite 15x^2 +41x+28 as (15x^2 +20x)+(21x+28).
(15x^2 +20x)+(21x+28)
Factor out 5x in the first and 7 in the second group.
5x(3x+4)+7(3x+4)
Factor out common term 3x+4 by using distributive property.
(3x+4)(5x+7)
Answer:
253+41x
Step-by-step explanation:
first evaluate the power of 15
then add the number 225+28
then the answer will be 253+41x
You spin a spinner that is equally divided into 7 parts. 2 parts white, 2 parts are speckled, and 3 parts are blue.
what are the odds against the spinner stopping at a blue section?
(Answer is a fraction)
Answer:
3/7
Step-by-step explanation:
you are gonna add all the parts together which is seven and because three parts are blue chances are that it might stop at blue three times out of seven
What is the slope between the two points (8, -2) and (-7, 10)?
Answer:
slope ={10--2}/(-7-8)=12/-15=-4/5
IF m power n is equal to 32 wher m and n are natural numbers then find the value of n power m
Answer:
[tex]n^m = 5^2[/tex]
Step-by-step explanation:
Given
[tex]m^n = 32[/tex]
Required
Find [tex]n^m[/tex]
[tex]m^n = 32[/tex]
Express 32 as an exponent
[tex]m^n = 2^5[/tex]
By comparison:
[tex]m = 2[/tex]
[tex]n = 5[/tex]
So:
[tex]n^m = 5^2[/tex]
Evaluate 8+3e8+3e8, plus, 3, e when e=2e=2e, equals, 2.
Answer:
yes that is right
Step-by-step explanation:
Which unit of mesurement is used to express distance on a map in Spanish speaking countries
BRAINLIST!! Look at the inequality graphed on the number line below.
This inequality has
One solution at x = 3
Seven solutions
Three solutions
Eight Solutions
Infinity Solutions
Answer:
I think infinite since it goes on past these numbers.
Step-by-step explanation:
Answer:
Infinity solutions
Step-by-step explanation:
This inequality has infinite solutions because the number line goes from 3 to infinity. this means that there is an uncountable number of solution which means the answer to this question is E.
help please
working too please!!!!.?
Step-by-step explanation:
(1) 4mn × 6mp × 3mnp
= 4 × 6 × 3 ( mn × mp × mnp)
= 72 × (m³n²p²)
72m³n²p²
sorry, I'm busy, won't be able to complete it
Use a percent proportion to find 25% of 350.
Answer:
7.142857143 or
[tex] \frac{50}{7} [/tex]
Step-by-step explanation:
100 ÷ 350 = .2857142857
.2857142857 × 25 = 7.142857143
The perimeter of the shape is 25.71cm
Calculate the value of the radius A take pi to be 3.142
Answer:
Step-by-step explanation:
2 [tex]\pi[/tex] r=25.71
6.284r= 25.71 (divide by 8.284 on both sides)
r=4.09cm
On Sunday morning, 4 1/2 crates of grapes are delivered to thee grocery store. 2/5 of the grapes in each crates are green grapes. How many crates would it take to deliver only the green grapes?
Answer: 1 4/5 crates
Step-by-step explanation:
From the question, we are informed that 4 1/2 crates of grapes are delivered to a grocery store and that 2/5 of the grapes in each crates are green grapes.
The number of crates that it would take to deliver only the green grapes would be:
= 2/5 × 4 1/2
= 2/5 × 9/2
= 9/5
= 1 4/5 crates
Sam has a mass of 80 kg. His body contains 0.36 kg of potassium. What percent of Sam’s
body is potassium?
Answer:
0.45 percent
Step-by-step explanation:
0.36 divided by 80 and then move decimal 2 places to the right
Answer:
0.45
Step-by-step explanation:
Taut learns that when she spends $65.00 on supplies she is able to grow 162.5 pounds of tomatoes. How many dollars is Taut spending per pound of tomatoes grown?
Answer: $0.4 is spent by Taut per pound of tomatoes grown
Step-by-step explanation:
Given : On spending $65.00 , tomatoes grown by Taut = 162.5 pounds
To find : Taut expenditure per pound of tomatoes grown = ?
As it is given that :
162.5 pounds of tomatoes are grown by spending = $65.00
Thus 1 pound of tomatoes are grown by spending = [tex]\frac{65.00}{162.5}\times 1=0.4[/tex]
Thus $0.4 is spent by Taut per pound of tomatoes grown