Answer:
£6000
Step-by-step explanation:
3:5:8
3+5+8=16
5-3 =2
Therefore 2=750
Therefore 1=375
16*375=£6000
I also got stuck on this one.
Answer:
8 questions.
Step-by-step explanation:
100 - 2x = 84
-2x + 100 = 84
-x + 50 = 42
x - 50 = -42
x = 8
Trevor answered 8 questions incorrectly.
Hope this helps!
Answer:
8
8Step-by-step explanation:
100-2x=84
subtract 84 from both sides
16-2x=0
add 2x to both sides
16=2x
divide both by 2 to get x
x=8
hope this helped
Which statement describes a process to solve _/b+20 - _/D=5?
Add a radical term to both sides and square both sides only once.
O Add a constant term to both sides and square both sides only once.
O Add a radical term to both sides and square both sides twice.
O Add a constant term to both sides and square both sides twice.
Answer:
d
Step-by-step explanation:
double check your answer
Answer:
C. Add a radical term to both sides and square both sides twice
Step-by-step explanation:
We suppose you want to solve ...
[tex]\sqrt{b+20}-\sqrt{d}=5\\\\\sqrt{b+20}=5+\sqrt{d}\qquad\text{add a radical term}\\\\b+20=25+10\sqrt{d}+d\qquad\text{square both sides once}\\\\b-d-5=10\sqrt{d}\qquad\text{subtract right-side non-radical terms}\\\\(b-d-5)^2=100d\qquad\text{square both sides a second time}[/tex]
__
We note that the solution summary (choice C) doesn't mention the fact that you need to separate the remaining radical term from the others after the first squaring.
The result is a quadratic function that produces extraneous solutions. This is shown in the attached graph. The red function is the original relation between b (x) and d (y). The blue function includes the red function and another branch that is all extraneous solutions.
A box contains 6 blue balls, 4 black balls and 5 red balls at the same size . A ball is selected at random from the box and then replaced . A second ball is then selected. Find the probability of obtaining ; (i) two red balls ; (ii) two blue balls or two black balls ; (iii) one black ball and one red balls.
Answer:
(i) 1/21
(ii) 1/10
(iii) Take a look at the explanation: Try this one yourself. I have given you some hints.
Step-by-step explanation:
(i) Two red balls:
To do this, we need to find the total amount of possible choices first. To do this, we multiply 15 by 14. This is our denominator:
15(14) = 210
Now, we need to find the total combinations of red balls. We solve 5 choose 2 for this one.
5 choose 2 = 5(4)/2! = 10
Our numerator is 10. Therefore, our probability is 10/210 = 1/21.
(ii) Two blue balls or two black balls:
To do this, we need to add the probabilities of getting a blue ball with a black ball. (Since there is an "or" sitting there. If there is an "and", we multiply)
So, let's calculate the probability of getting a blue ball first:
Blue:
We use the same denominator as before: 210.
Our numerator is now 6 choose 2, which is:
6 choose 2 = 6(5)/2! = 15.
Now, our fraction is 15/210, BUT, dont simplify, as we will need to add.
Black:
Same steps: denominator is 210, but the numerator is 4 choose 2.
Solving 4 choose 2:
4 choose 2 = 4(3)/2! = 6.
Our numberator is 6.
But, we cant forget to add them!
(15 + 6)/210 is 21/210, which is 1/10.
(iii) I'll let you try this one by yourself. Here is a hint:
Solve for the probability of chooseing a black ball and a red ball. Then, multiply.
Enjoy the process, and I hoped this helped you! (If you have any questions, feel free to ask)
Pls hurryyy up I need it now....... A translation moves point V(-2, 3) to V (-2,7). Which are true statements about the translation?
The point moves two units left and four units up.
The transformation rule is (x,y) →(x+0.y+4)
The transformation is a vertical translation.
The image is four units to the left of the pre-image.
The translation can be described as (x,y) → (x-2.y+7)
Answer:
Only the y-coordinate changes by 4 so the true statements are that "The transformation rule is (x,y) →(x+0.y+4)" and that "The transformation is a vertical translation."
In parallelogram ABCD, points E and F are the midpoints of side AB and BC, respectively. A F meets DE at G and BD at H. What is the area of quadrilateral BHGE if the area of ABCD is 60?
Answer:
The area of the quadrilateral B-H-G-E is 7
Step-by-step explanation:
The area of the parallelogram = 60
It can be shown that ΔG-D-F = 3/10 × Area of the parallelogram S = 3/10×S
Because the diagonal B-D shares A-F into the ratio 1:2, the ΔH-D-A = 2/3×ΔD-B_A where ΔD-B_A = 1/2·S, therefore, ΔD-B_A = 2/3×1/2×S = 1/3×S
ΔB-F-H is similar to ΔD-B_A scaled to 1/2,
Therefore;
The area of ΔB-F-H = 1/4×Area of ΔD-B_A = 1/4×1/3×S = 1/12×S,
ΔF-C-D = 1/4×S
ΔE-A-D = 1/4×S
The area of the quadrilateral B_H_G_E found as follows;
Area B_H_G_E = S - (ΔF-C-D + ΔG-D-F +ΔE-A-D +ΔB-F-H)
Area B_H_G_E = S - (1/4×S + 1/10×S +1/4×S +1/12×S) = S - 53/60×S = 7/60×S
Whereby we are given that the area, S of the parallelogram AB-CD = 60 we have;
Area B_H G_E = 7/60×60 = 7
11. A roofer calculates his bid price using the formula P = 1.85s + 4.2f, where s is the area of the roof in square feet and f is the length of the fascia in feet. Find the area of the roof with 190 feet of fascia and a price of $4,148. Round to the nearest square foot
Replace f with 190, replace P with 4148 and solve for s:
4148 = 1.85s + 4.2(190)
Simplify:
4148 = 1.85 + 798
Subtract 798 from both sides:
3350 = 1.85s
Divide both sides by 1.85:
s = 1,810.81
Rounded to nearest square foot = 1811 square feet.
Please answer the question and please how the working out fully Thank you
Answer:
X will be equal to 36 degrees.
Step-by-step explanation:
A full angle of a pentagon is 108 degrees. A line connecting from a base corner to on the opposite side splits the pentagon into a rhombus and a triangle. In the triangle, two corners will be the same side, while the largest corner will be 108 degrees.
180-108 = 72
72 / 2 = 36
Therefore, x is equal to 36 degrees.
Hopefully this helps :)
Aubreys kitchen countertop is 2/3 meter by 3 4/5 meters she solves 2/3 multiply 3 4/5 to find the area of the countertop in square meters. Enter numers to conplete aubreys calculations for the area
Answer:
[tex]2\frac{8}{15}[/tex] or 2.5333
Step-by-step explanation:
Just multiply the numbers. please mark brainliest
what is a triangular prism? Guy please answer this question it's me ?
Answer:
A prism is a polyhedron A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon.
Step-by-step explanation:
i hope this will help you
Answer:
A triangular prism is a prism whose bases are triangles and whose lateral faces are rectangles.It has 9 edges and 6 vertices.
please see the attached picture.
hope this helps..
Good luck on your assignment..
the mean of five numbers is 8. when another number is added the mean is 7. find the number added
Answer:
[tex]\large \boxed{\sf \ \ 2 \ \ }[/tex]
Step-by-step explanation:
Hello,
The mean of five numbers is 8 so we can write
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8[/tex]
When another number is added the mean is 7, let s note x the another number we can write
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7[/tex]
From the first equation we can say
[tex]x_1+x_2+x_3+x_4+x_5=8*5=40[/tex]
So the second equation becomes
[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\<=> \dfrac{40+x}{6}=7\\\\<=>40 + x = 6*7=42\\\\<=> x = 42-40 = 2\\[/tex]
The solution is then 2
Hope this helps
Hi can you help me with this please
Answer:
x=13 degrees
Step-by-step explanation:
Supplementary angles: 180 degrees.
180-98=82
Vertical angles: congruent
Corresponding angles: congruent
We have 2 angles of the triangle, so we can find the third. (Angles in a triangle add to 180 degrees)
x=13
I will make you a brainllest I need help :)
Answer:
32
Step-by-step explanation:
Lets work it out.
First we combine the two equations to get 5x-10. That is equal to 70 so we get out x = 16 we put that into the equation 3x-10 and get 32
A construction company covered 3\8 of a road which is 10km long with asphalt in the first week and covered 7\18of the road in the second week with asphalt. what length of the road remained to be covered with asphalt?
Answer:
2.36 km
Step-by-step explanation:
First they covered 3/8 of the road, so in figures that is;
= [tex]\frac{3}{8} * 10km[/tex]
=3.75 km
The second week they covered 7/18 of the road which is;
= [tex]\frac{7}{18} * 10km[/tex]
= 3.89 km
If we combine the two distances, we get;
= 3.75 km + 3.89 km
= 7.64 km
Subtract this from the total distance and you get
= 10 km - 7.64 km
= 2.36 km
Which means 2.36 km of the road is left to be covered with asphalt.
school fair ticket costs $8 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who went to the fair was 30, and the total money collected was $100. Which of the following options represents the number of children and the number of adults who attended the fair that day, and the pair of equations that can be solved to find the numbers? (4 points)
Answer:
12 adults and 4 kids were there that the fair
Step-by-step explanation:
Translate the following into an expression: 22% of b PLS HELP QUICK WILL GIVE BRAINLIEST IF CORRECT!!!!!!!! 10pts!!!!!!!!
Answer:
The above statement is written as
[tex] \frac{22}{100} \times b[/tex]
Hope this helps you
Please answer this question now in two minutes
Answer:
u+43°=u_3°+u+3° (by exterior angle theorem)
u+43°= 2u
or, 2u_u=43°
or, u= 43°
is the value of u.....
HELP!!!! Urgent!!! I'm stuck here.
Answer:
Mean = 25
Median = 23
Mode = 33
Step-by-step Explanation:
First, let's write out all the values represented in the stem and leaf plot. We have the following data sets as follows:
15, 18, 18, 19,
22, 23, 25,
31, 33, 33, 33
=>Mean = sum of all values ÷ no of values
= (15+18+18+19+22+23+25+31+33,+33+33)/11
= 270/11 ≈ 25 (to the nearest whole number)
=>Median is the middle value when the data set is ordered. Since we have 11 values, our median value would be the 6th value in our data set = 23
15, 18, 18, 19, 22, |23|, 25, 31, 33, 33, 33
=>Mode is the most occured value = 33
Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet.
Given that,
Speed of first bicycle = 9 mph
Speed of second bicycle = 5 mph
Suppose the length of the circle 24 miles.
We need to find the relative velocity
Using formula of relative velocity
[tex]v=v_{1}-v_{2}[/tex]
Put the value into the formula
[tex]v=9-5[/tex]
[tex]v=4\ mph[/tex]
We need to calculate the time
Using formula of time
[tex]t=\dfrac{d}{v}[/tex]
[tex]t=\dfrac{24}{4}[/tex]
[tex]t=6\ hr[/tex]
We need to calculate the distance of the points where the two bicycles meet
Using formula of distance
For first bicycles,
[tex]d=9\times6[/tex]
[tex]d=54\ miles[/tex]
For second bicycles,
[tex]d'=5\times6[/tex]
[tex]d'=30\ miles[/tex]
Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.
The length of a rectangle is twice it’s breadth. if the perimeter is 72 meters, find the length and breadth of the rectangle
Perimeter of a rectangle = 2l + 2b
where
l = length
b = breadth
The length is twice it's breadth which is written as
l = 2b
Perimeter = 2(2b) + 2b
72 = 4b + 2b
72= 6b
Divide both sides by 6
b = 12 meters
Since l = 2b
l = 2(12) = 24 meters
The length of the rectangle is 24 meters and it's breadth is 12 meters
Hope this helps
Answer:
If breadth of a rectangle is 19m and perimeter is 80m, find the length of the rectangle.
Step-by-step explanation:
find the area of the blue sector. leave your answer in terms of pie please I need help NOW
Answer:
60
Step-by-step explanation:
Answer:
[tex]10\frac{2}{3}\pi[/tex]
Step-by-step explanation:
First find the area of the whole thing. It is 8^2π = 64π. Then the blue part is 60/360 = 1/6 of the area. This is 64/6π=32/3π=10.66π
HELPPPP. SOMEONE HELP PLEASE
Answer:
a) Domain: All real numbers
b) Domain: -4<x<=4
a) Range: All real numbers greater than 2
b) Range: 0<=y<=4
Step-by-step explanation:
Domain is the possible x values
Range is the possible y values
Open circle means not included
Close circle means included
Answer: a) Domain: x = (-∞, ∞) b) Domain x = (-4, 4]
Range y = [2, ∞) Range y = [0, 4]
Step-by-step explanation:
Domain represents the x-values. Range represents the y-values.
a) the graph doesn't end so every x-value is possible
x = All Real Numbers x = (-∞, ∞)
The lowest y-value (minimum) is at y = 2. All other y-values are greater than that. y ≥ 2 y = [2, ∞)
b) The graph starts at x = -4 with an open dot so it doesn't include -4. It ends at x = +4 with a closed dot so it does include +4.
-4 < x ≤ 4 x = (-4, 4]
The lowest y-value (minimum) is at y = 0. All other y-values are greater than that up to y = 4. 0 ≤ y ≤ 4 y = [0, 4]
g(n)=80×(3/4)^n
complete the recursive formula of g(n)
g(1)=
g(n)= g(n-1) ×
Answer:
Step-by-step explanation:
Hello,
[tex]g(n)=80*(\dfrac{3}{4})^n \ So\\g(1)=80*\dfrac{3}{4}=20*3=60 \\\\ and \\\\\dfrac{g(n)}{g(n-1)}=\dfrac{80*(\dfrac{3}{4})^n}{80*(\dfrac{3}{4})^{n-1}}=\dfrac{3}{4} \ so \\\\g(n)=g(n-1)*\dfrac{3}{4}[/tex]
do not hesitate if you have any question
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students, and 28 chose social studies as their favorite. He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies. Did he make a reasonable inference? Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 250. Yes, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, and 28 is 20% of 90. No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90. No, Mr. Hernandez’s sample is not large enough compared to the population.
Answer:
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Step-by-step explanation:
At Lawson Middle School, Mr. Hernandez asked 90 randomly selected students from each grade level for their favorite subject.
90 randomly selected students from each grade level for their favorite subject, and 28 chose social studies as their favorite.
so, the percent of students who love social studies is given by:
28/90 x 100=31.11%
He used this data to draw the inference that out of the 250 middle school students, about 20% prefer social studies.
No, Mr. Hernandez’s sample is random, not biased, large enough compared to the population, but 28 is not 20% of 90.
Answer:
C on EDG
Step-by-step explanation:
Fifteen women can weed a piece of land in
12 days. How many more women will be
required to clear the same land in10 days
Answer:
Brainliest please
Step-by-step explanation:
15 women= 12days
find 10 days,
12÷10×15= 18women in ten days
how many more women, subtract 18 women and 15 women
=3 is the answer
find one-ninth of the difference between 49 and 13
Answer:
4
Step-by-step explanation:
First we need to find the difference by subtracting. 49-13 = 36
Then we fine one-ninth of 36. We do this by dividing 36 by 9
36 divided by 9 is 4.
Jenny has a $3,000 balance on her credit card with an 18% interest rate. If she makes no payments on her card and no late fees were charged how long will it take her debt to double?
Answer:
it would take about 4.2 years for her debt to double.
Step-by-step explanation:
With a principal of $3000, and an annual interest rate of 18%, the equation for accumulated debt as a function of time in years, would be given by the expression:
[tex]A(t)=3000\,(1+0.18)^t[/tex]
now, if we want to find when the debt would double, we replace A(t) with $6000, and solve for the time 't' using logarithms to bring down the unknown (t) that resides in the exponent:
[tex]A(t)=3000\,(1+0.18)^t\\6000=3000\,(1.18)^t\\2=(1.18)^t\\log(2)=t\, \, log(1.18)\\t=\frac{log(2)}{log(1.18)} \\t=4.1878\,\,years[/tex]
which we can round to approximately 4.2 years
La longitud de un rectángulo mide 3m mas que el doble de su ancho del rectángulo, escribe un polinomio que represente el perímetro del rectángulo y simplifica el polígono correspondiente.
Answer:
Step-by-step explanation:
El ancho es x, el largo es x+3
El perímetro es dos veces el largo más dos veces el ancho, es decir: 2(x) + 2(x+3) = 4x+6
El polinomio sería: P(x)=4x+6
Select the correct answer. A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r? A. B. C. D.
Answer:
V = [tex]\frac{3.14r^3}{12}[/tex]
Step-by-step explanation:
Volume of Cone = [tex]\pi r^2 \frac{h}{3}[/tex]
But, Given that radius of cone = r/2 of the cylinder
And,
Height of cone = Radius of cylinder i.e. h = r
Putting this in the above formula.
=> V = [tex]\pi (\frac{r}{2} )^2 (\frac{r}{3})[/tex]
=> V = [tex](3.14)(\frac{r^2}{4} )(\frac{r}{3} )[/tex]
=> V = [tex]\frac{3.14r^3}{12}[/tex]
Answer:
(1/12) Pi r^3 option C on plato
Step-by-step explanation:
r = radius of the cylinder
V = (1/3)Pi c^2 h for a cone.
and c = r/2 and h = u
so Volume of the cone is (1/12) Pi r^3
rectangle ABCD and DEFG are similar. if AB is 6, DE is 15, DG is 21, what is the length of AD, rounded to the nearest tenth?
Answer:
Length of AD is 8.4 units.
Step-by-step explanation:
Given that:
There are two similar rectangles ABCD and DEFG.
AB = 6 units
DE = 15 units
DG = 21 units
To find:
AD = ?
Solution:
Please refer to the attached image for having a look at the two given rectangles.
First of all, let us learn about the similar rectangles.
If two rectangles are similar, then the ratio of their corresponding sides are always equal.
i.e.
[tex]\dfrac{AB}{AD} = \dfrac{DE}{DG}[/tex]
Putting values of AB, DE and DG to find out AD:
[tex]\dfrac{6}{AD} = \dfrac{15}{21}\\\Rightarrow \dfrac{6}{AD} = \dfrac{5}{7}\\\Rightarrow \dfrac{1}{AD} = \dfrac{5}{7\times 6}\\\Rightarrow \dfrac{1}{AD} = \dfrac{5}{42}\\\Rightarrow AD = \dfrac{42}{5}\\\Rightarrow AD = 8.4\ units[/tex]
So, value of AD is 8.4 units.
.Solve for x 5 x − 1 = 6 x − 9
Answer:
x = 8
Step-by-step explanation:
Step 1: Subtract 5x from both sides
-1 = x - 9
Step 2: Add 9 to both sides
x = 8