Answer:
brad made 19 cakes, sally made 12
Step-by-step explanation:
What are the coordinates of point P on a directed line segment from R to Q such that P is 5/6 the length of the line segment.
Answer:
[tex]P = [-3/5,2.33][/tex]
Step-by-step explanation:
Given
See attachment for line segment RQ
[tex]P = \frac{5}{6}[/tex] of RQ
Required
The coordinates of P
Using line segment ratio formula, we have:
[tex]P = [\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n}][/tex]
If P is at:
[tex]P = \frac{5}{6}[/tex]
Then:
[tex]m : n = \frac{5}{6} : 1 -\frac{5}{6}[/tex]
Solve
[tex]m : n = \frac{5}{6} : \frac{6-5}{6}[/tex]
[tex]m : n = \frac{5}{6} : \frac{1}{6}[/tex]
Multiply by 6
[tex]m : n = \frac{5}{6} *6: \frac{1}{6} * 6[/tex]
[tex]m : n = 5 : 1[/tex]
By comparison
[tex]m=5\ \& n = 1[/tex]
From the attached line segment
[tex]R(x_1,y_1) = (4,-1)[/tex]
[tex]Q(x_2,y_2) = (-5,3)[/tex]
So, we have:
[tex]P = [\frac{5*-5 + 1*4}{5+1},\frac{5*3 + 1*-1}{5+1}][/tex]
[tex]P = [\frac{-25 + 4}{6},\frac{15 -1}{6}][/tex]
[tex]P = [\frac{-21}{6},\frac{14}{6}][/tex]
[tex]P = [-3/5,2.33][/tex]
Find the circumference of a circle with a radius of 4.4 inches. Use 3.14 for pie. Round to the nearest tenth if necessary. Please provide steps. :) :D :)
Answer:
27.7 inches
Step-by-step explanation:
C = 2rπ
C = 8.8π
C = 27.7 in
–6z^2− 8z + 8 = 0
sole using the quadratic formula
Answer:
Simplifying
6z2 + -8z + 1 = 0
Reorder the terms:
1 + -8z + 6z2 = 0
Solving
1 + -8z + 6z2 = 0
Step-by-step explanation:
Find the are of the triangle below in square units
(The triangle is in the picture, please help! :,))
Answer:
252
Step-by-step explanation:
14 x 6 x 12 = 1008/2 = 504/2 = 252
What is the area, in square centimeters, of the trapezoid shown below?
3 cm
9 cm
12 cm
Please help
PLEASE HELP! I AM BEHIND ON SCHOOL WORK AND I NEED THIS! PLEASE SHOW WORK!
Jovan has a credit card with a $1,583 balance his interest rate is 8.8% if he does not pay for 3 years how much interest does
Answer:
$417.91
Step-by-step explanation:
Help plz, I don't understand
The interior angles formed by the sides of a hexagon have measures that add up to 720°. What is the measure of angle F? Need HELP ASAP
6. Given one of the root of the quadratic equation x^2- 5kx + k = 0 is four times the
other root, find the value of k.
k = 1/4
Answer:
Step-by-step explanation:
hello :
FIND THE EREA OF THE GIVEN TRIANGLE YOU MUST SHOW WORK!
Answer:
Area = 12 square units
Step-by-step explanation:
Area = b x h x 1/2
Area = 8 x 3 x 1/2
Area = 24 x 1/2
Area = 12
Hope that helps! :)
Answer:
12 is the area . ihshssisjjss
Find the surface area of the figure.
22 m
12 m
5 m
Answer and Step-by-step explanation:
Work is in Picture:
#teamtrees #PAW (Plant And Water)
in the diagram below, the measure of angle W is 5 times as large as the measure of angle X. what is the measure of angle W?
Answer:
D. 150°
Step-by-step explanation:
∠X and ∠W are supplementary
Let a = m∠X
Then 5a = m∠W
m∠X + m∠W = 180
a + 5a = 180
6a = 180
a = 30
m∠W = 5a = 5(30) = 150°
Select the correct function. Select the function with an average rate of change of 3 over the interval [1, 3].
Answer:
Function g(x)
Step-by-step explanation:
Given
See attachment for functions
Required
Which has an average rate of 3 over [1,3]
The average rate of change (m) is calculated as:
[tex]m = \frac{f(b) - f(a)}{b -a}[/tex]
Where:
[tex][a,b] = [1,3][/tex]
So, we have:
[tex]m = \frac{f(3) - f(1)}{3 -1}[/tex]
[tex]m = \frac{f(3) - f(1)}{2}[/tex]
From the table f(x), we have:
[tex]f(3) = 6\\ f(1) = -2[/tex]
So:
[tex]m = \frac{6 - -2}{2}[/tex]
[tex]m = \frac{8}{2}[/tex]
[tex]m =4[/tex]
From the graph of g(x), we have:
[tex]g(3) = 4\\ g(1) = -2[/tex]
So:
[tex]m = \frac{g(3) - g(1)}{2}[/tex]
[tex]m = \frac{4 - -2}{2}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
Since only one of the function has an average rate of change of 3 over the given interval,
Then g(x) answers the question
A wire is first bent into the shape of a rectangle with width 7in and length 9in then the wire is bent and reshaped into a square what is the length of a side of a square.
Answer:
Length of side of square = 8 inch
Step-by-step explanation:
Given:
Length of rectangular wire = 9 inch
Width of rectangular wire = 7 inch
Find:
Length of side of square
Computation:
We know that same wire is used from square
So,
Perimeter of rectangle = Perimeter of square
2[l + b] = 4 x side
2[9 + 7] = 4 x Length of side of square
2[16] = 4 x Length of side of square
32 = 4 x Length of side of square
Length of side of square = 32 / 4
Length of side of square = 8 inch
A sphere just fits inside a cube with edges 20 in. Long. What is the volume of the sphere? What is the volume of the cube? What is the volume of the space between the cube and sphere?
Answer:
Step-by-step explanation:
Volume of a cube = (side)³
= (20)³
= 8000 cubic in.
Volume of the sphere which just fits in = [tex]\frac{4}{3}\pi r^{3}[/tex]
Here, r = Radius of the sphere
Since, sphere just fits in, radius of the sphere = half of the dimension of the cube
r = [tex]\frac{20}{2}[/tex]
r = 10 in
Therefore, volume of the sphere = [tex]\frac{4}{3}\pi (10)^3[/tex]
= 4188.79 cubic inch
Volume of the space between the cube and sphere = 8000 - 4188.79
= 3811.21 cubic inch
Please help me will give brainliest!
Answer:
3a) -22 + 5 = -17
3b) -22 - (-5) = -22 + 5 = -17
3c) (-22)(-5) = 110
3d) -22 ÷ 5 = -4.4
Hope this helps!
Step-by-step explanation:
a) -22+5=-17
b)-22+5=-17
c)-22_5=-27
d)-22÷5=-4.4
PLEASE HELP !!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!
Answer:
3:2
Step-by-step explanation:
I'd say 3:2 because when you divide 45/30, you get 3/2, which is the same as 3:2. Hope this helps!
Answer: 1 boy for every 3 girls
Step-by-step explanation:
I put 30/45 into a fraction and simplified.
A circular flower bed is 17m in diameter and has a circular sidewalk around it that is 2m wide. Find the area of the sidewalk in square meters. Use 3.14 for (pie sign).
The area of the sidewalk is (insert answer) m(squared)
(Round to the nearest whole number as needed.)
Answer:53.38 is the answer
Step-by-step explanation:
The radius is always half of the diameter so half of 17 is 8.5. 8.5x3.14 is 26.69. Then you add 26.69+26.69 to get the answer. (I’m not positive that this is correct)
Megan's age is three years more than four times her daughter's age. If Megan's daughter's age is $d$ , Megan's age is
Answer: 4d + 3
Step-by-step explanation:
Megan's daughter's age = d
Based on the information given, since Megan's age is three years more than four times her daughter's age, this can be written mathematically as:
= (4 × d) + 3
= 4d + 3
Therefore, Megan's age is 4d + 3.
For example, if the daughters age is 7 years, Megan's age will be:
= 4d + 3
= 4(7) + 3
= 28 + 3
= 31 years
Select all of the equations where x = 3 is a solution.
3x = 1
3x = 33
7x – 2 = 19
2x = 5
5x = 15
5x + 6 = 21
Answer:
7x-2=19
5x=15
5x+6=21
................
Step-by-step explanation:
Here x = 3
3x = 1 (False)
3* 3 ≠1
3x = 33 (False)
3 *3 ≠ 33
7x - 2 =19 (True)
7 *3 - 2 = 19
21 - 2 = 19
19 = 19
2x = 5 (False)
2 *3 ≠ 5
5x = 15 (True)
5 * 3 = 15
15 = 15
5x + 6 = 21 (True)
5 * 3 + 6 = 21
15 + 6 = 21
21 = 21
Hope it will help :)❤
Each spinner shown is divided into equal
sections. Felix spins each spinner 30 times. He
records the number of times each section is
spun.
(8)
Red
(7)
Yellow
(5)
Blue
(10)
Green
(8)
E
(3)
Based on the results of the first 30 spins, what
is the probability that Felix will spin a green and
an F on the next spin?
A
1
24
B
D Not here
45
The probability that Felix will spin a green and an F on the next spin is 2/45.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, Felix spins each spinner 30 times. He
records the number of times each section is spun. Red (7), Yellow (5), Blue (10), Green (8)
Since probability distribution:
A probability distribution is a mathematical function that describes the probability of different possible values of a variable.
probability= desired outcome/ Total Outcomes
In our case,
Total outcomes = 30 *30
Desired outcome = spin a green and an F on the next spin
Since from probability distribution getting F and getting green has a likelihood of 5 and 8.
thus,
Probability = 8 * 5/ 30 *30
probability = 2/45
therefore, the probability that Felix will spin a green and an F on the next spin is 2/45.
Learn more about probability here:
https://brainly.com/question/30034780
#SPJ2
A cylinder has a diameter of 14 cm and a volume of 112 pi.
What is the height in, centimeters, of the cylinder?
(PS I am literally giving 15 points for the correct answer!!!)
HELP! :(
factorise x squared - 3x
Answer:
x squared -3× =x(x-3)
Step-by-step explanation:
Since the common factor is x,one comes out to multiply the other to give it x squared and since one x has been written outside already we just write the 3 so that when we multiply it we will get the answer we were asked to factorise
It takes 14 hours to seal a hardwood floor with varnish. If each coat requires one whole and 3/4ths of an hour to dry, how many coats are applied?
WILL REWARD BRAINIEST! What is the volume of the composite figure if both the height and the diameter of the cylinder are 10.5 feet? Give the exact answer and approximate to two decimal places.
Answer:
908.74
Step-by-step explanation:
The formula for the volume of a cylinder is V = h * pi * r^2
h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.
So now plug it into the formula:
V = 10.5 * pi * (5.25)^2
= 908.74
Hope this helped! :)
Answer:
1211.65 cubed ft.
Step-by-step explanation:
Half sphere: V = 4/3(3.24)(5.25^3)
V = 605.82
Divide by two since we need to find the volume of the half sphere, not the full sphere.
605.82 ÷ 2 = 302.91
Cylinder: V = (3.14)(5.25^2)(10.5)
V = 908.74
Add the two volumes to each other to find the total volume of the composite figure.
908.74 + 302.91 = 1211.65
what is y=-3x-5 in standard form?
Answer:
3 x-y=5
Step-by-step explanation:
Can someone please help me
p.s. round to the nearest tenths
Answer:
Apothem:
radius is the same length as the base/length of each side of the hexagon.
r = 8
use pythagorean theorem to calculate the apothem
[tex]4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928[/tex]
≈ 6.9
Area
[tex]A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7[/tex]
write the equation in slope y-intercept form: passing through the points (5, 7) and (-2, -3)
Answer:
y=10/7x-1/7
Step-by-step explanation:
m=(-3-7)/(-2-5)
m=-10/-7
m=10/7
y-y1=m(x-x1)
y-7=10/7(x-5)
y=10/7x-50/7+7
y=10/7x-50/7+49/7
y=10/7x-1/7
The ratio of boys to girls in the 10th grade is 8 to 13. If there are 91 girls in 10th grade, then how many boys are there?
Answer: There are 56 boys in the 10th grade
Step-by-step explanation:
Step 1
ratio of boys to girls in the 10th grade is 8 :13
Number of girls= 91
To find the number of boys, we first find the total number of boys and girls in the 10th grade
Step 2
Now the total ratio= 8 +13=21
Number of girls = ratio of girls/ total ratio x Total number of students
91=13/ 21 x Total number of students
Total number of students =21 x 91 / 13 =147
Step 3
Therefore Number of boys =ratio of boys/ total ratio x Total number of student
8/21 x 147=56
