Answer:
£33
Step-by-step explanation:
The share ratio is 3 :3:4
So the rational division is 3 + 3 + 4 = 10
Gordon and Malachy share is £77,
[tex] calculting \: total \: amt \: shared \\ \frac{3}{10} + \frac{4}{10} = 77 \\ \frac{3 + 4}{10} = 77 \\ \frac{7}{10} = 77 \\ total \: amt \: = \frac{77 \times 10}{7} = 110[/tex]
Carol's share =
[tex] \frac{3}{10} \times 110 = 33[/tex]
=£33
Final answer:
Gordon and Malachy's combined share corresponds to 7 parts of the ratio. One part is worth £11, and since Caroline's share is 3 parts of the ratio, she receives £33 in total.
Explanation:
The question involves dividing a sum of money according to a given ratio. Since Gordon and Malachy together receive £77, we need to first find out the ratio representing the sum of their parts and then calculate Caroline’s share.
Given the ratio of Gordon, Caroline, and Malachy’s share as 3:3:4, we can see that Gordon and Malachy’s ratio adds up to 3 + 4 = 7 parts. To find the value of one part, we divide the total amount they have (£77) by 7.
£77 divided by 7 parts equals £11 per part. Since Caroline’s share is 3 parts in the ratio, Caroline receives 3 parts times £11 per part, which equals £33. Therefore, Caroline gets £33.
oel biked 9 miles east and then 12 miles north. If he biked back to his starting point using the most direct route, how many miles would he ride all together?
Answer:
36 miles
Step-by-step explanation:
(Imagine a huge triangle on a perfectly open space-- not with streets or houses or cornfields.)
The dimensions of the two sides given are multiples of a classic Pythagorean Triple: 3, 4, 5. [tex]3^{2} + 4^{2} = 5^{2}[/tex]
9 is 3x3, 12 is 3x4 so the remaining side would be 3x5 15
Add those 3 sides to get the total distance, 36 miles.
Answer:
36
Step-by-step explanation:
Evaluate the geometric series. Please help me!!
Answer:
- 85
Step-by-step explanation:
The n th term of a geometric series is
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
1[tex](-2)^{n-1}[/tex] ← is the n th term of a geometric series
with a = 1 and r = - 2
The sum to n terms of a geometric series is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
= [tex]\frac{1((-2)^{8}-1 }{-2-1}[/tex]
= [tex]\frac{256-1}{-3}[/tex]
= [tex]\frac{255}{-3}[/tex]
= - 85
Which of these situations could be written as an equation with one variable?
A
Penny picked 35 apples, Ben picked 22 and Sam picked 17. They picked 74 apples all together. Who picked the most apples?
B
Harriet and Lea found 9 four-leaf clovers on the baseball field in all. Harriet found 5 of them. How many clovers did Leah find?
C
There were 45 doughnuts at the snack table today. Tanisha brought 33 of them, and Doug brought 12. Where did Tanisha buy her doughnuts?
D
Lori bought the most T-shirts of anyone in her family. She bought 1 more T-shirt than Thea and 3 more than Pino. How many shirts did Lori buy?
BACK
Answer:
b
Step-by-step explanation:
Because i dont know I just need points bro
It would be B becuase 9-x=5
P.S x=4
An object is launched at 29.4 meters per
second (m/s) from a 34.3-meter tall
platform. The equation for the object's
height s at time x seconds after launch is
f(x) = -4.9x2 + 29.4x+ 34.3, where y is in
meters. What is the initial height of the
object?
29.4 meters
78.4 meters
34.3 meters
3 meters
Answer:
34.3 meters
Step-by-step explanation:
The generic equation for a movement with constant acceleration is:
S = So + Vo*t + (a*t^2)/2
Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.
If we compare with our equation (where x is the time and f(x) is the final distance), we have that:
So = 34.3
Vo = 29.4
a = -9.8
So we have that the inicial position (So) of the object is 34.3 meters
• Each number on a number cube is a possible result, or _______________, of rolling the cube.
Ratio or outcome maybe?
Solve the equation for x.
x/3 = (2x + 3)/7
Answer:
Our answer is [tex]x=9[/tex]
Step-by-step explanation:
First we will rearrange so we have to divide by 7.
[tex]\frac{x}{3}= \frac{2x+3}{7}[/tex]
Now we will cross multiply.
So...
[tex]x*7 \\3*2x+3[/tex]
Our new equation will look like:
[tex]7x=6x+9[/tex]
Now we have to isolate x.
So we have to subtract 6x from both sides.
[tex]7x-6=1x[/tex]
and
[tex]6x-6x=0[/tex]
Our new equation is:
[tex]1x=9[/tex]
Now divide.
Our answer is [tex]x=9[/tex]
Hope this helped!
What is the volume of the right rectangular prism with a length of 2 millimeters, a width of 4 millimeters, and a height of 8 millimeters?
Answer:
8
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
2 times 4 times 8 = 64
What is the length of the diagonal of a 10 cm by 15 cm rectangle?
Answer:
18.02 cm
Step-by-step explanation:
A diagonal makes a rectangle into two right triangles. So if we use the Pythagorean theorem we can find the hypotenuse which is the diagonals.
Remember, because we know the length and width, we know the two sides.
10^2 + 15^2 = c^2
100+225 = c^2
325 = c^2
18.027 ≈ c
We can use the Pythagorean theorem to solve for the diagonal. The diagonal is the same as the hypotenuse of a triangle.
Pythagorean Theorem: a² + b² = c²
Now, solve for the diagonal.
(10)² + (15)² = c²
100 + 225 = c²
325 = c²
√325 = √c²
18.0277... = c
Round if necessary.
18.0277... = 18.03
Therefore, the diagonal of the rectangle is approximately 18.03cm.
Best of Luck!
Finish the sentence....
FTC Flight team____________?
Answer:
Step-by-step explanation:
What it do Flight Crew FTC Flight Team Stand UPPPPPP
Use the distributive property to expand the following expression.
−3(2x+(−7)+5y)
Answer:
-6x +21 -15y
Step-by-step explanation:
−3(2x+(−7)+5y)
Distribute
-3*2x + -3*-7 + -3*5y
-6x +21 -15y
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 24 miles south. She then runs 10 miles west. Her trainer bikes from the health club to meet jane at the end of her run. How much farther does jane travel than her trainer?
Answer:
26 miles farther from her trainer
Step-by-step explanation:
She starts her journey at health club,
Ran 24 miles south and then 10 miles west.
The distance between her end point and her trainer who was at health club can be calculated using pythagorean theorem.
X² = y² + z²
X = her end point
Z = distance between health club 24 miles south. = 24miles
Y = 10 miles distance from the 24 miles south. = 10 miles.
(See attachment for better illustration.)
X² = 24² + 10²
X² = 576 + 100
X² = 676
X = √(676)
X = 26 miles
Jane was 26 miles farther from her trainer
pls help me give u a brainlest
Answer:
uhmm. lemme remember how to do that
Answer:
30 in
Step-by-step explanation:
V=Bh
Find the area of the triangle then multiply it by the height of the prism.
Thomas wants To find out which sport the entire 8th grade cloth on his school likes best
Answer:
Ok what are his options?
Step-by-step explanation:
Answer:
Ping Pong
Step-by-step explanation:
dunno
Recent statistics state that the average life expectancy for an American is a little over 78 years.
The sentence above refers to
factors that can affect family responsibilities
Answer:
189
Step-by-step explanation: cause i had dis question before in england
HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
The first relationship have a zero slope.
Step-by-step explanation:
Because if the y-axis is the same number and that's what makes the first choice the right answer.
Find the volume of a right circular cone that has a height of 9.1 m and a base with a circumference of 12.1 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
[tex]V=35.3\ m^3[/tex]
Step-by-step explanation:
-Given the cone's height is 9.1m and the Circumference is 12.1
#We use the circumference formula to calculate the radius:
[tex]C=2\pi r\\\\12.1=2\pi r\\\\r=\frac{12.1}{2\pi}=\frac{6.05}{\pi}\ cm[/tex]
-The volume of the cone using the radius above can then be calculated as follows:
[tex]V=\pi r^2\frac{h}{3}\\\\=\pi\times(\frac{6.05}{\pi})^2\times \frac{9.1}{3}\\\\\\=35.3\ m^3[/tex]
Hence, the cone's volume is [tex]35.3\ m^3[/tex]
2) A band played an encore at 4 of its last 14 shows. What is the
experimental probability that the band will play an encore at its next
show?
a.2/7
b.3/7
c.4/7
d.5/7
Answer:
a. 2/7
Step-by-step explanation:
Please kindly go through the attached file for explanation
1,THE POPULATION OF THREE TOWNS ARE 65,600, 13,400 AND 29,700 APPROXIMATE THE TOTAL POPULATION OF THE THREE TOWNS TO THE NEAREST THOUSANDS
2,REHEMA SPENT 1/8 OF HER SALARY ON TRANSPORT AND 1/4 ON FOOD IF SHE REMAINED WITH SH 80000 WHAT WAS HER SALARY....PLEASE ANSWER MY QUESTION FIRST I WILL MARK U BRAINLIEST
Answer:
1) 65600+13400+29700=108700
to the nearest thousand it will be 108000
2) 1/8+1/4=3/8
3/8-1=5/8
5/8× U=80000
U=80000÷5/8
U=128000
note that U is unknown
A. (7, -2), (4, -1), (3, 0), (4, 1), (7,2)
B. (-2, 1), (-1, 2), (0, 3), (1, 4) (2, 7)
C. (-2, 7), (-1, 4) (0, 3) (1, 4), (2, 7)
D. (1, -2), (2, -1), (3, 0), (4, 1), (7, 2)
Answer:
the answer is c
all work is pictured
11) Find the length of side x. picture is above!
I will give you 20 points and
brainliest
Answer:
25m :)
Step-by-step explanation:
solve for x. 1/15+x=3/10
Answer:
x=7/30
Step-by-step explanation:
3/10-1/15
Art and PE
--------- Art No Art Total
PE A B C
No PE D E F
Total G H J
300 students in a middle school take Art, and 250 of those students also take PE. There are 250 students who do not take Art but do take PE. 125 students take neither Art nor PE. If you were to complete the two-way table shown here, which value would go in position D?
A) 50
B) 75
C) 100
D) 125
Answer:
A) 50
Step-by-step explanation:
D: Art & No PE
Art - Art&PE
300 - 250
50
Answer:
Answer is 50
Step-by-step explanation:
I just did the test on usatestprep
Mrs. Hanson bought 1.6 pounds of grapes. The grapes cost $2.50 per pound. How much did
she pay for the grapes?
Answer:
$4.00
Step-by-step explanation:
Multiply the 1.6 pounds of grapes by the $2.50 per pound.
Answer:
4$
Step-by-step explanation:
Multiply 2.50$ with 1.6 pounds.
You get 4$
It won't cost more than 5$ because there are less than 2 pounds of grapes.
What is the area of the following circle?
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
r=1
Answer:
The area is 3.14
Step-by-step explanation:
Get the radius and times it by itself then multiply it by pie and you get 3.14
A 12-sided die is rolled. The set of equally likely outcomes is {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. Find the probability of rolling a 9.
Answer:
1/12
Step-by-step explanation:
Since all are equally likely, each outcome has a probability of 1/12.
P(9) = 1/12
Answer:
1/12
Step-by-step explanation:
The probability of rolling a nine is given by the number of good outcomes over the total outcomes
P(9) = number of 9's / total
=1/12
Determine the slope of the line below.
A. -3 B. 3 C. 1/3 D. -1/3
What is the f?
f/5 - (-13) = 12
Step-by-step explanation:
[tex] \frac{f}{5} - ( - 13) = 12[/tex]
[tex] \frac{f}{5} + 13 = 12[/tex]
[tex] \frac{f}{5} = 12 - 13[/tex]
[tex] \frac{f}{5} = - 1 [/tex]
Now cross multiply
Therefore f = -5
Answer:
f= -5
Step-by-step explanation:
f/5-(-13)=12
remove the parenthesis and replace the negative with a positive.
f/5+13=12
multiply all by 5
f+65=60
move constant to the right
f=60-65
subtract 60 to 65
-----------------
f= -5
-----------------
Which line segment is a diameter of circle F?
Answer:
AC
Step-by-step explanation:
We know that a diameter of a circle is any straight line segment that passes through the center of the circle such that whose endpoints lie on the circle. It is also be known as the longest chord of the circle.
In the given figure we can see that only AC and BE are the line segments that pass through the center of the circle such that whose endpoints lie on the circle.
Answer:
AC
Step-by-step explanation:
factor completely 36x2 – 1.
Answer:
(6x - 1)(6x + 1)
Step-by-step explanation:
36x² - 1 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
Thus
36x² - 1
= (6x)² - 1²
= (6x - 1)(6x + 1)
The coordinates of point A on a grid are (2, -5). Point A is reflected across the x-axis to obtain point B. The coordinates of point B are (2, ___). (1 point)
Answer:
(2,5)
Step-by-step explanation:
If you are flipping a point over the x-axis, multiply the y coordinate by -1, if you are flipping something over the y-axis, multiply the x coordinate by -1.
The coordinates of point B are (2,5)
How does reflection across axis work?When a graph is reflected along an axis, say x axis, then that leads the graph to go just in opposite side of the axis as if we're seeing it in a mirror.
If you study it more, you will find that its symmetric, thus each point is equidistant from the axis of reflection as that of the image of that point.
Given that coordinates of point A on a grid are (2, -5). Point A is reflected across the x-axis to obtain point B.
Since flipping a point over the x-axis, then we have to multiply the y coordinate by -1,
And ifyou are flipping something over the y-axis, then we have to multiply the x coordinate by -1.
Therefore, the point B are (2, _5_).
Learn more about reflection here;
https://brainly.com/question/28186407
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