Answer:
she can serve 12 guest with her cakes
Step-by-step explanation:
if 1 cake is cut into 4 peices
3 cakes will be cut into 12
Five times a number is divided by 7 more than the number. If the result is 2 then what was the original number?
the number=A
5xA/7+A=2
5A/7 +A =2
5A/7=2-A/1
7(2-A)=1(5A)
14-7A=5A
14=5A+7A
14/12=12A/12
A=14/12
A=7/6
One pipe can empty a tank in 45 minutes while a second pipe can empty it in 60 minutes. If both pipes are opened at the same time, how long will it take to drain the tank?
Answer:
It will take 25.7 minutes when they are working together
Step-by-step explanation:
Here, we want to know how long it will take both pipe working together to drain the tank
Let the volume of water to be drained be xL
for the first one, rate is
x/45 L/minutes
for the second x/60 L/minutes
Joint rate will be
x/45 + x/60 = 4x + 3x/180 = 7x/180
Now go get the time involved here, we simply divide the volume by the rate
That would be;
x divided by 7x/180
= x * 180/7x
= 180/7 = 25.7 minutes
Write the equation of the line that contains the point (−2, -9) and is 4) Parallel to y = 8x + 7 5) Perpendicular to y = 8x + 7
Answer:
a. y = 8x + 7
b. 8y = -x-74
Step-by-step explanation:
Here, we want to write the equation of a line which is parallel to y = 8x + 7 and passes through the given point
Since the line we want to write the equation is parallel to y = 8x + 7, it means that they have the same slope
Mathematically we can write the equation of a line as y = mx + c where m is the slope. Comparing this with y = 8x + 7, our slope is therefore 8
Now, the slope of our new line is also 8
We now make use of the point slope method to write the equation
Mathematically the point slope method is;
y-y1 = m(x-x1)
where our (x1,y1) = (-2,-9)
y-(-9) = 8(x -(-2))
y + 9 = 8(x + 2)
y + 9 = 8x + 16
y = 8x + 16-9
y = 8x + 7
For the second line, it is perpendicular to y = 8x + 7
Here too, we have the slope as 8
Now since they are perpendicular, it means that the product of the slopes is equal to -1
m1 * m2 = -1
8 * m2 = -1
m2 = -1/8
Now;
y-y1 = m(x-x1)
our point still remains same (-2,-9)
y-(-9) = -1/8 (x -(-2))
y + 9 = -1/8(x + 2)
8(y + 9) = -1(x + 2)
8y + 72 = -x -2
8y = -x -2-72
8y = -x-74
Three runners are training for a marathon. One day, they all run about ten miles, each at their own constant speed. Which of the three runners has the fastest pace?
Answer:
Runner 2 has the fastest pace
Step-by-step explanation:
The first one we need to find the slope
m = (y2-y1)/(x2-x1) = (40-0)/(4-0) =40/4 = 10 minutes per mile
The second is 8.5 minutes per mile
The third we need to find the slope
m = (y2-y1)/(x2-x1) = (90-72)/(10-8) =18/2 = 9 minutes per mile
Stephanie just redecorated her bedroom. She wants to paint but needa to know the surface area of the door to see if she has enough?
Answer:
The surface area of door is 33 680 cm².
Step-by-step explanation:
Given that the surface area of a cuboid which is the 3D of rectangle is :
[tex]s.a = 2(l \times w) + 2(l \times h) + 2(w \times h)[/tex]
[tex]let \: l = 80 \\ let \: w = 3 \\ let \: h = 200[/tex]
[tex]s.a = 2(80 \times 3) + 2(80 \times 200) + 2(3 \times 200)[/tex]
[tex]s.a = 2(240) + 2(16000) + 2(600)[/tex]
[tex]s.a = 480 + 32000 + 1200[/tex]
[tex]s.a = 33680 \: {cm}^{2} [/tex]
The measure of angle 3 is 42°.
What is the measure of angle 1 in degrees?
Answer:
<1 = 48
Step-by-step explanation:
<1 + <2 + <3 = 180 since they form a line
<1 + 90+ 42 =180
Combine like terms
<1 + 132 =180
Subtract 132 from each side
<1 +132-132 =180-132
<1 = 48
Answer:
48 is the answer
Step-by-step explanation:
Mia is standing 210 yd from a radio tower. The angle of elevation from where she is standing on the ground to the top of the tower is 11°. How tall is the radio tower? Round the final answer to the nearest tenth. Enter your answer in the box.
Answer:
40.8
Step-by-step explanation:
Just took the test
Answer:
40.8 yd
Step-by-step explanation:
just took the test too! :D
have a miraculous day!! <3
slove for x.
3x+15=56
Answer:
13.7
Step-by-step explanation:
3x=41
x is around 13.7
Answer:
x = [tex]\frac{41}{3}[/tex]
x ≈ 13.7
Step-by-step explanation:
[tex]3x+15=56\\3x+15-15=56-15\leftarrow \text {Subtraction Property of Equality} \\3x=41\\\\\frac{3x}{3} =\frac{41}{3} \leftarrow \text {Division Property of Equality}\\\\\boxed {x=\frac{41}{3}}[/tex]
41/3 = 13.66666666....
13.666... ≈ 13.7
What is this I need the answer
===========================================================
Explanation:
Logarithms are used to solve exponential equations. Specifically if you have a variable in the exponent, then you use a log to isolate the variable.
If we set the given log expression to x, then we can rewrite it into 8^x = 1. The only value of x that works is x = 0.
------------
Or put another way,
8^x = 1
8^x = 8^0 ... replace the 1 with 8^0
x = 0 ... the bases are equal (to 8) so the exponents must be equal
------------
You can use the change of base formula to directly calculate this log
[tex]\log_8(1) = \frac{\log(1)}{\log(8)} = \frac{0}{0.903} = 0[/tex]
Can someone please help me on this question
Answer:
124 students
Step-by-step explanation:
let number of boys be 11x and girls be 9x.
A.T.Q 124 more boys than girls
equation=
11x = 9x + 124
11x- 9x = 124
2x = 124
x = 124/2 = 62
boys= 62 * 11 = 682
girls= 62 * 9 = 558
total = 558+682 = 1240 students
what are the possible values of x in 8^2+4x = -1
Answer:
So we can simplify this to
36+4x=-1
We can subtract by 64 on both sides. 4x = -37. Therefore the answer to this is
x = -37/4 = -9.25.
So the answer for x is -16.25. If you were trying to do a quadratic equation then sorry because you worded it wrong, and I solved properly.
Answer: -9.25Figure 2 was constructed using figure 1. On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 is in quadrant 1 and sits on the x-axis with a point at (0, 0). Parallelogram 2 is in quadrant 4 and sits on the y-axis with a point at (0, 0). Parallelogram 1 is rotated 270 degrees counter-clockwise to form parallelogram 2. For the transformation to be defined as a rotation, which statements must be true? Select three options. The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2). The transformation is rigid. Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2. Segment CP is parallel to segment CP'. If figure 1 is rotated 180° about point C, it will be mapped onto itself.
Answer:
"Rotation" means turning around a center: The distance from the center to any point on the shape stays the same.Every point makes a circle around the centre.
The Figure 2 was constructed using figure 1.Among all the given options those which apply for the transformation to be defined as a rotation are :
A)The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2)
(B)The transformation is rigid.
(C)Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.
(E)If figure 1 is rotated 360° about point C, it will be mapped onto itself.
Options A,B,C,E are the correct ones.
Answer:
A B CStep-by-step explanation:
did edge test said to pick 3
What is the decimal multiplier to decrease by 2.7%?
Answer:
0.027
Step-by-step explanation:
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.
What is the solution to the inequality
+4 50?
(♾, -28)
(-♾, -28]
(28,♾)
[28,♾)
Answer:
[tex]4 - 22 - 115[/tex]
answer is yes...........
Consider the diagram. Planes Q and R intersect. Lines d and c are vertical on plane R and form a right angle with line B on plane Q. Line B is horizontal on plane Q. Line a is slightly diagonal on plane Q. Lines a and c are coplanar. parallel. perpendicular. skew.
Answer:
D) no, because they are skew
Step-by-step explanation:
just did the assignment on edge 2020
hope this helps :)
Answer:
d
Step-by-step explanation:
Solve the equation 2(3x + 7) = -22.
O A.
x = 6
B.
x = -6
OC.
x=2
OD.
X = -2
Answer:
x=−6
Step-by-step explanation:
Answer:
C. x = -6
Step-by-step explanation:
[tex]2(3x + 7) = -22.\\Step -1: Multiply-through-by-two\\6x + 14= -22\\Collect -like-terms.\\6x= -22-14\\6x =-36\\Divide-both-sides-of-the-equation-by 6\\ = x= -6[/tex]
Been stuck on this for a while
Answer:
-x^3 -3x+2
Step-by-step explanation:
f(x) = -3x +2
g(x) = x^3
(f-g)(x) = -3x +2 - x^3
= -x^3 -3x+2
A=4x/t-p make x the subject
Answer:
x = (A t)/4 + (p t)/4
Step-by-step explanation:
Solve for x:
A = (4 x)/t - p
A = (4 x)/t - p is equivalent to (4 x)/t - p = A:
(4 x)/t - p = A
Add p to both sides:
(4 x)/t = A + p
Multiply both sides by t/4:
Answer: x = (A t)/4 + (p t)/4
Prove that the difference between squares of consecutive even numbers is always a multiple of 4. Note: Let n stand for any integer in your working. Total marks: 4
Answer:
see explanation
Step-by-step explanation:
consecutive even numbers have a difference of 2
let the consecutive even numbers be n and n + 2, thus
(n + 2)² - n² ← expand (n + 2)² using FOIL
= n² + 4n + 4 - n² ← collect like terms
= 4n + 4
= 4(n + 1) ← which results in a multiple of 4
What does the range of data tell you
Answer:
The range can only tell you basic details about the spread of a set of data. By giving the difference between the lowest and highest scores of a set of data it gives a rough idea of how widely spread out the most extreme observations are, but gives no information as to where any of the other data points lie.
Step-by-step explanation:
What the answer is for that question
Answer:
Step-by-step explanation:
Multiplication property
if x=y
then x*z=y*z
What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to solve.
x = StartFraction negative 4 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction
x = StartFraction negative 7 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction
x = –7 and x = –2
x = –1 and x = 4
Answer:
x = -7 ±√5 /2
That is;
x = StartFraction negative 7 plus-or-minus StartRoot 5 EndRoot Over 2 EndFraction
Step-by-step explanation:
To find the solutions to the equation, we will follow the steps below
(2x + 3)² + 8(2x + 3) + 11 = 0 --------------------------------------------------------------(1)
let u = 2x + 3
we will replace 2x+ 3 by u in equation (1)
u² + 8u + 11 = 0 -----------------------------------------------------------------------------(2)
we will solve equation (2) using the formula method
a=1 b=8 and c=11
u = -b ± √b² - 4ac /2a
u = -8 ±√(-8)² - 4(1)(11) /2(1)
u = -8 ±√64 - 44 /2
u = -8 ±√20 /2
u = -8/2 ± √20/2
u= -4 ± √20/2
u= -4 ± √5×4 /2
u= -4 ± 2√5 /2
u= -4 ± √5 ---------------------------------------------------------------------------(30
but u = 2x + 3
Substitute u =2x+3 in equation (3)
2x + 3 = -4 ± √5
subtract 3 from both-side of the equation
2x + 3-3 = -4 -3 ± √5
2x = -7±√5
Divide both-side of the equation by 2
2x/2 = -7 ±√5 /2
x = -7 ±√5 /2
Answer:
the answer is b
Step-by-step explanation:
i took the test
There are between 24 and 40 students in a class,
The ratio of boys to girls is 4:7
How many students are in the class?
Answer:
There are 33 students
Step-by-step explanation:
Because 7:4 should be in multiple of 11
Roxanne has $80 in a savings account. The interest rate is 10%, compounded annually. To the nearest cent, how much will she have in 3 years?
this is easy boos 3+9+10=
Answer:
22
Step-by-step explanation:
1: 3+9 = 12
2: + 10 = 22
The correct answer for this question is 22.
Please mark brainliest
Hope this helps.
Can anyone please help me it’s only one question please help me
Answer:
A =7.02 m^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2)*h where b1 and b2 are the lengths of the bases
A = 1/2 ( 4.5+6.3) * 1.3
A = 1/2(10.8) * 1.3
A =7.02 m^2
C
11cm
11cm
B
A
8cm
Construct the isosceles triangle ABC
What is equivalent to 16 3/4 x
Answer:
the answer
the question is not very clear,
its complement may be Which is equivalent to 16 ^ 3/4x?
-4√16^3x
-4√16^3
-3√16^4x
-3√16^4
perhaps the 16 3/4x should be written as [16 ^ 3] / 4x, or 16 ^ (3 / 4x)
or - [16 ^ (3 / 4)] x
If the question is [16 ^ 3] / 4x, then none of the choices is equivalent to this
if the question is 16 ^ (3 / 4x), it is equivalent to 4x-th root of 16^3
so if the question is - [16 ^ (3 / 4)] x
so - [16 ^ (3 / 4)] x =( - 4√16^3)x it is 4th root of 16^3 times x
so the choice is -4√16^3x
Step-by-step explanation:
can anyone help me solve this using exponent rules
(5x4y3)(-2x5y)
Answer:
[tex]-10x^9y^4[/tex]
Step-by-step explanation:
Answer:
-10x9y4
Step-by-step explanation:
When multiplying exponents it's like adding nothing serious. Hope this helps! Plz mark brainliest!!
Please help! Correct answer only, please! I need to finish this assignment this week. Determine the value of the following if it is possible. If it is not possible, explain.
Answer:
Option D is the correct answer
Step-by-step explanation:
Since, dimensions of both the matrices are different, hence they cannot be added.
