Answer:
2b: -29 - 13x - 6n
3a: -6
3b: m = 1
Travis, Jessica, and Robin are collecting donations for the school band. Travis wants
to collect 20% more than Jessica, and Robin wants to collect 35% more than Travis.
If the students meet their goals and Travis collects $43, how much money did they collect
in all?
Answer:
their total collected is $135.45
Step-by-step explanation:
travis collect 20% more than Jessica
if travis collect $43 then
20% of 43
43 × 20 ÷ 100 = $8.6
Jessica collected $8.6 less than travis
$43 - $8.6 = $34.4
and Robin collect 35% more than travis
35% of 43
43 × 35 ÷ 100 = $15.05
therefore Robin collect $15.05 more than travis
$43 + $15.05 = $58.05
their total collected
Jessica collected $34.4
robin collected $58.05
travis collected $43
total
$34.4 + $58.05 + $43 = $135.45
A rectangle is 7 ft by 12 ft. Find the length of its diagonal. Round to the nearest tenth.
Answer:
13.9
Step-by-step explanation:
7² x 12² = 49 + 144 = 193
√193= 13.89
Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat. Write an equation where the solution represents the amount of money (x), in dollars, craig has after michael buys the hat. Explain how you came to this equation.
Answer:
X + 4 = 48
Step-by-step explanation:
Before hat purchase :
Michael has $68
Craig has $24 less than Michael;
Hence, Craig = $68 - $24 = $44
Michael purchased hat worth, $20
x = amount Craig has after Michael purchase hat:
x = Amount Michael has - $24
Amount Michael has after hat purchase = $68 - $20 = $48
x + 4 = 44 + 4
X + 4 = 48
Solve algebraically the simultaneous equations
x^2– y^2 = 24
x= 3 + 2y
Write your two pairs of answers in this form:
when x =... y =...
When x=... y=...
Answer:
(5, 1) and (-5, -7)
Step-by-step explanation:
Given the simultaneous equations
x^2– y^2 = 24 .... 1
x= 3 + 2y .... 2
Substitute 2 into 1
(3-2y)^2-y^2 = 24
Expand
9 - 12y + 4y^2 - y^2 = 24
9 - 12y + 3y^2 = 24
3y^2 - 12y + 9-24 = 0
3y^2 -12y -15 = 0
y^2-4y-5 = 0
y^2+5y - y - 5 = 0
y(y+5) - 1 (y+5) = 0
y-1 = 0 and y+5 = 0
y = 1 and -5
Substitute the values of y into 2
Recall that x = 3+3y
when y = 1
x = 3 + 2(1)
x = 5
when x = -5
x = 3 + 2(-5)
x = 3 - 10
x = -7
Hence the solutions are (5, 1) and (-5, -7)
a computer company features a new model with the larger 20-in flat panel display. the flat panel sizes it diagonal length of its screen. the new computer joins earlier computer models with 15 and 17 inch screens.
Answer:
Step-by-step explanation:
a computer company features a new model with the larger 20-in flat panel display. the flat panel sizes it diagonal length of its screen. the new computer joins earlier computer models with 15 and 17 inch screens.
5x and x+5 is this equivalent if so explain even if it isn’t still explain lol
Explanation is in the file
tinyurl.com/wpazsebu
Answer:
No it is Not Equivalent
Step-by-step explanation:
5x and x + 5 are NOT equivalent because 5x would be 5 times x or 5(x) but for x + 5 it is just 5 + x they will not be the same value either.
NEED HELP ASAP PLEASE
Answer:
729
Step-by-step explanation:
9x9x9 = 729 in^3
I need help on solving these problems.
Answer:
the fist one is A and the second one is D
Step-by-step explanation:
The volume of a rectangular prism is 300 ft 3 . If the area of the base is 12 ft 2 , what is its height?
15 feet
24 feet
12 feet
25 feet
Answer: pretty sure 25 feet
Step-by-step explanation:
I had this function question that I just don't understand. Can someone explain it please
Answer:
oopsie delete this
Step-by-step explanation:
Evaluate 12.3p + 11.5r when p = 6 and r = 7.
Step-by-step explanation:
12.3(6) + 11.5(7)
73.8 + 80.5 = 154.3
The point (3,-1) is on the line given by which equation below?
HELPP MEE PLSS
Answer:
your answer will be C. y = x-4
Step-by-step explanation:
hope it helps you...
A) I only
B) II only
C) III only
D) I and II only
Answer:
The . correct answer will be C
Step-by-step explanation:
Compare the graph of y = 4x and y = 4x + 1.
how are they the same how are they different
Answer:
Step-by-step explanation:
Notice that the difference is in the y-intercept. The first equation has a y-intercept of 0 since y = 4x + 0, the second has a y-intercept of 1 since
y = 4x + 1. In other words, the graph is translated up 1 unit to cross at (0,1) instead of (0,0)
which one is a scaled copy
Answer: D
Step-by-step explanation:
I believe it’s D because a scaled copy is similar to the original shape, but with different shapes. It might be C, but however in math, to make a scaled copy, you have to multiply length number with the same number. (Example: Length is 2, so the scaled copy is 4.)
I hope you have a good day.
A helicopter flew north 325 meters and then flew east 500 meters. How far is the helicopter from its starting point?
Answer:
596.34m approx
Step-by-step explanation:
Given data
Let the Starting point be x
A helicopter flew north 325 meters from x
Then flew east 500 meters
Let us apply the Pythagoras theorem to solve for the resultant which is the distance from the starting position
x^2= 325^2+500^2
x^2=105625+250000
x^2= 355625
x= √355625
x=596.34m
Hence the distance from the starting point is 596.34m approx
y is less then or equal to 1/2x plus 2
2
Step-by-step explanation:
I think it 4/2 because I multiplied it
Find the area of the polygon. Please help.
Answer:
40 units
Step-by-step explanation:
The area of this rhombus can be broken up to four 4 by 5 right triangles, each having an area of 4*5/2=10, so the answer to your desired question is 10*4=40
Hey there!
The correct answer is 40 units squared.
We can solve this by breaking up the shape. There are four equivalent right triangles, so we can solve for one, and multiply it by 4! The area of a triangle is bh/2 or base * height / 2. So, we can set up the following equation:
(4 * 5) / 2 = area
20 / 2 = area
10 = area
Now we can multiply it by 4, which gives us 10 * 4 or 40.
Have a terrificly amazing day! :D
Combine the like terms to create an equivalent expression. 7n + 4n
Answer:
11n
Step-by-step explanation:
The digit 4 has a greater value in because its value is as much as its value in .
Question:
Fill in the blanks to complete the statements about the numbers 0.04 and 0.004. In 0.04, the digit 4 is in the place. In 0.004, the digit 4 is in the place.
The digit 4 has a greater value in because its value is as much as its value in
Answer:
The digit 4 has a greater value in because its value is as much as its value in 0.04
Step-by-step explanation:
Given
0.04 and 0.004
Required
Which has a greater value of 4
In 0.04, the value of 4 is hundredths i.e. 0.01
In 0.004, the value of 4 is thousandths i.e. 0.001
By comparison:
[tex]0.01 > 0.001[/tex]
So, 4 has a greater value in 0.04 than 0.004
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below.
300 mm
200 mm
50 mm
Complete question :
Luke is designing a scale model of a clock tower. The design of the front of the tower is shown below. Obtain the area of the front face of the model.
Answer:
12500 mm²
Step-by-step explanation:
The front face of the mode consista of both triangle and rectangle
Area of rectangle :
Height * Base
Height = 200 m ; Base = 50
Area = 200 m * 50 m = 10,000 mm²
Area of triangle :
1/2 * base * height
1/2 * 50 * (300 - 200)
1/2 * 50 * 100
= 2500 mm²
Area of front face = Area of rectangle + Area of triangle
Area of front face = (10,000 + 2500) m²
Area of front face = 12500 mm²
In a survey 80 students were asked to name their favorite subject.30 students sad. English was their favorite subject. What percent of the students surveyed said that the English was their favorite subject.∛
Answer:
37.5%
Step-by-step explanation:
30/80=37.5 percent
Answer:
37.5% of students say English is their favorite subject
Step-by-step explanation:
30/80=0.375----Divide the amount of students that like English(30) by the total amount of students who took the survey.(80)
0.375=37.5%----Turn your decimal answer to a percentage to get 37.5%!
plsss help i’ll give brainliest if you give a correct answer
Answer:
1800
Step-by-step explanation:
The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel?
Answer:
4680 km / hour
Step-by-step explanation:
You can do this with a method called dimensional analysis. (I think you should check the speed. Are you sure it is that fast?)
[tex]\frac{1300 m}{sec}*\frac{1 km}{1000 m} * \frac{3600 sec}{1 hr}\\[/tex]
1.3 * 3600 = 4680 km/hour
If the length of SR is 4 meters and the length of ST is 8 meters , what is the length of PQ in meters
Answer:
the length of PQ is 8.9 m
Step-by-step explanation:
The computation of the length of PQ in meters is shown below:
Here we applied the Pythagoras theorem
c² = a² + b²
= 4² + 8²
= 16 + 64
= 80
Now square root to the both sides
c = √80
= 8.94427191
= 8.9 m
Hence, the length of PQ is 8.9 m
Help I’ll give Brainly est
Answer:
2x is less than 8 or B
Step-by-step explanation:
When looking at the number line you got to look to see if the circle is closed or not. In this case it is a closed circle meaning to include the number. Then look at what direction it is going toward. Is it increasing? Is it decreasing? In this case it is decreasing. Meaning that 2x is less than 8
NOT A - Reason why it is not a is because 8 is not included in the range of numbers
NOT C
Find y, ST and TU
Please help!
Given:
[tex]ST=4y,TU=2y+6[/tex]
To find:
The value of y, ST and TU.
Solution:
In triangle STV and UTV,
[tex]m\angle TSV\cong n\angle TUV[/tex] (Given right angles)
[tex]m\angle SVT\cong n\angle UVT[/tex] (Given)
[tex]TV\cong TV[/tex] (Common side)
The corresponding two angles and a non included sides in both triangles are congruent. So, the triangles are congruent by using AAS congruence postulate.
[tex]\Delta STV\cong \Delta UTV[/tex] (AAS congruence postulate)
Corresponding parts of congruent triangles are congruent. So,
[tex]ST\cong UT[/tex] (CPCTC)
[tex]4y=2y+6[/tex]
[tex]4y-2y=6[/tex]
[tex]2y=6[/tex]
[tex]y=3[/tex]
Now,
[tex]ST=4y[/tex]
[tex]ST=4(3)[/tex]
[tex]ST=12[/tex]
And,
[tex]TU=2y+6[/tex]
[tex]TU=2(3)+6[/tex]
[tex]TU=6+6[/tex]
[tex]TU=12[/tex]
Therefore, [tex]y=3,\ ST=12\ units,\ TU=12\ units[/tex].
Here is a right square pyramid. The length of each side of the base is 3 cm. The height of the pyramid is 8 cm. What is the volume of this pyramid?
9514 1404 393
Answer:
24 cm³
Step-by-step explanation:
The volume is given by the formula ...
V = 1/3s²h
where s is the side length of the square base, and h is the height.
V = (1/3)(3 cm²)(8 cm) = 24 cm³
The volume of the pyramid is 24 cm³.
subtract and simplify 5 6/9 - 2 1/3
Answer:
Your answer should be 3 1/3
Step-by-step explanation:
:)
1/4 divided bye 3/3 is what
Step-by-step explanation:
.25 or 1/4 hope this helps
Answer:
1/4
Step-by-step explanation:
Any expression divided by itself equals 1
1/4÷1
Any expression divided by 1 remains the same
1/4
the solution is 1/4