Step-by-step explanation:
4 + 3x -20 = 0
3x - 16 = 0
3x = 16
x = 16/3
n+3=28 what does n equal
Answer:
25
Step-by-step explanation:
Solve the system of equations
14x+y=−4
y=3x2−11x−4
Answer:
(x,y)= (-2,24)
Step-by-step explanation:
Answer:
(0,-4) & (-1,10)
Step-by-step explanation:
solve for the first variable in one equation then substitute the result into the other equation.
Point form:
(0,-4) & (-1,10)
Equation form:
x=0 y=-4
x=-1 y=10
According to the key of a particular park map, every 8 inches on the map represents 3 miles of trails in the park. How many inches on the map represents 9 miles on the park trails
Answer:
24 inches represents 9 miles in the map
Step-by-step explanation:
To solve this problem you take into account that 8 inches represents 3 miles and that x represent the number of inches for 9 miles. That is:
8 ------- 3
x ------- 9
This is simply a rule of three, then you calculate:
[tex]x=\frac{8\ x\ 9}{3}=\frac{72}{3}=24[/tex]
Hence, 24 inches represents 9 miles in the map
Jose's ball is stuck on the roof of his home, which is 8 feet high. He wants to use a ladder to climb up and get his ball. If he sets the base of the ladder 6 feet away from his home, what is the minimum length that the ladder can be? Explain how you solved this question using context and at least three sentences. Hint: Draw your the scenario and label given values.
Answer:
10 feet
Step-by-step explanation:
It becomes a right-angled triangle with height of 8feet and base of 6feet.
Using Pythagoras theorem:
a² = b² + c²
a² = 8² + 6²
a² = 64 + 36
a² = 100
a = √100
a = 10
9 Fill in: is, are, was or were.
1 The house ...
earthquake last week.
destroyed by the
Answer:
was
Step-by-step explanation:
lol
The Spirit Team will be selling popcorn as a fundraiser at the next basketball game to earn funds to go to Orlando for a competition. If they need the volume of the popcorn container to be under 220 cubic inches per serving, select all of the following dimensions of a cylinder they could use
3 inch radius and 4 inch height
4 inch radius and 4 inch height
9 inch radius and 9 inch height
4 inch diameter and 9 inch height
6 inch diameter and 9 inch height
9 inch diameter and 4 inch height\
(Please hurry)
Answer:1 and 2
Step-by-step explanation:
Given
Volume needed [tex]V=220\ in.^3[/tex]
For first cylinder
[tex]r=3\ in.[/tex]
[tex]h=4\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_1=\pi (3)^2(4)[/tex]
[tex]V_1=113.11\ in^3[/tex]
For second cylinder
[tex]r=4\ in.[/tex]
[tex]h=4\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_2=\pi (4)^2(4)[/tex]
[tex]V_2=201.08\ in^3[/tex]
For Third cylinder
[tex]r=9\ in.[/tex]
[tex]h=9\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_3=\pi (9)^2(9)[/tex]
[tex]V_3=2290.51\ in^3[/tex]
For fourth cylinder
[tex]r=4\ in.[/tex]
[tex]h=9\ in.[/tex]
[tex]V=\pi r^2h[/tex]
[tex]V_4=\pi (4)^2(9)[/tex]
[tex]V_4=452.448\ in^3[/tex]
So, cylinder [tex]1[/tex] and [tex]2[/tex] are appropriate as it is under [tex]220\ in.^3[/tex]
Answer:
1, 2, and 4.
Step-by-step explanation:
Don't forget for these 3 you had to cut the diamiter in half to get the radius.
QUESTION 6,7,8 PLS HELP
Answer:
6) a.
7) d.
8) a.
I hoped this helped! Please mark me brainliest. Thanks!
The sea turtle habitat at the zoo is made by connecting two large aquariums. The first aquarium is 6 m long, 4 m wide, and 2 m high The second aquarium is 8 m long 9 m wide and 3 m high how many cubic meters of space do the sea turtles have in their habitat
Answer:
264 cubic metres
Step-by-step explanation:
We need to find the volume of both aquariums and add them up.
The aquariums are shaped as rectangular prisms.
The volume of a rectangular prism is:
V = L * W * H
where L = length, W = width, H = height
The first aquarium is 6 m long, 4 m wide, and 2 m high. Its volume is:
V = 6 * 4 * 2 = 48 cubic metres
The second aquarium is 8 m long, 9 m wide and 3 m high. Its volume is:
V = 8 * 9 * 3 = 216 cubic metres
The amount of space the turtles have is therefore:
V = 48 + 216 = 264 cubic metres
Um criador de peixes decidiu construir um tanque para criar uma nova espécie de peixe, porém essa precisa de um tanque muito maior do que ele costuma trabalhar e seu formato precisa ser de um paralelepípedo. Sabendo disso, pediu a um engenheiro que construísse um tanque com 50 m³ de volume, (x + 3) metros de comprimento, a largura x metros e a altura de 5 metros. Qual o comprimento e a largura desse tanque, respectivamente?
Answer:
length = 5 meters
width = 2 meters
Step-by-step explanation:
The volume of parallelepiped is given by:
Volume = length * width * height.
If the volume is 50 m3, the length is x + 3, the width is x and the height is 5 m, we can use the volume equation to find the value of x:
50 = (x+3) * x * 5
10 = (x+3) * x
x^2 + 3x - 10 = 0
Using Bhaskara's formula, we have:
Delta = 3^2 + 4*10 = 49
sqrt(Delta) = 7
x1 = (-3 + 7)/2 = 2
x2 = (-3 - 7)/2 = -5 (This value would cause negative measurements, so it is not a valid answer)
So with the value of x = 2, we can find the length and the width of the tank:
length = x + 3 = 2 + 3 = 5 meters
width = x = 2 meters
A game comes with a deck of cards with each card showing one of the numbers 2,3,4,5,6, or 8. Each card occurs one time in red and one time in purple, and one time in blue. Given that a blue card is drawn what is the probability the card is 4
Answer:
0.1667 = 16.67%.
Step-by-step explanation:
We already know that the card drawn is blue, so now we need to check the value of the card.
The blue cards have 6 possibilities of values (2, 3, 4, 5, 6 or 8), and the number 4 appears only 1 time, so the probability of the blue card having the value 4 is the number of times this value occurs by the number of possible values:
P = 1/6 = 0.1667 = 16.67%.
Can someone please tell me What’s 2=m/2 -7 ?
Answer:
Step-by-step explanation:
2 = m / 2 - 7
2 + 7 = m / 2
9 = m / 2
cross multiply
m = 9 * 2
Therefore m = 18
Hope u understood and it helped.
Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient?
Answer:
1
Step-by-step explanation:
The leading coeffecient is the number behind the x^2 value. There is an imaginary one there.
Please help
Been stuck for 30 minutes
Will mark as brainliest as soon as possible, answer coreectly please
Answer:
30) A)
31) C)
32) A)
33) A)
34) A)
Step-by-step explanation:
30) Reflection over the x -axis (x,y)→(x,−y)
31) Rotation 180° about the origin (x, y)→(-x, -y)
32) Rotation 180° about the origin (x, y)→(-x, -y)
33) Translation 1 unit left (x, y)→(x-1, y)
34) Rotation 180° about the origin (x, y)→(-x, -y)
Correct answers only please!
To the nearest cent, how much interest will she earn in 2 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
A = $ 9,257.50
A = P + I where
P (principal) = $ 7,000.00
I (interest) = $ 2,257.50
Step-by-step explanation:
Vivian red 14 fewer pages than she was assigned to read she read 60 Pages write and solve an equation to find how many pages P Vivian was assigned to read
Answer:
P = 74
Step-by-step explanation:
14 + 60 = 74
whats the distance between the following points? -9,8 -3,2
So the right answer is √314 units.
Look at the attached picture
Hope it will help you
Good luck on your assignment
Will mark brainliest.
Answer:
I couldnt figure out the irregular polygons, so im sorry
Step-by-step explanation:
2.
[tex]A=wl=7*2=14in^2\\P=2(l+w)=2*(2+7)=18in[/tex]
3.
[tex]P=8a=8*3=24cm[/tex]
4.
[tex]A=wl=40*97=3880mm^2\\P=2(l+w)=2*(97+40)=27mm[/tex]
5.
[tex]A=wl=4*13=52cm^2\\P=2(l+w)=2*(13+4)=34cm[/tex]
6.
[tex]A=wl=3*8=24cm^2\\A=wl=2*6=12cm^2\\=36cm^2\\P=2(l+w)=2·(8+3)=22cm\\P=2(l+w)=2*(2+6)=16cm\\=38cm[/tex]
8.
[tex]A=wl=4*9=36cm^2\\A=wl=8*3=24cm^2\\=60cm^2\\P=2(l+w)=2*(4+9)=26cm\\P=2(l+w)=2*(8+3)=22cm\\=48cm[/tex]
9.
[tex]A=wl=7*11=77cm^2\\A=wl=2*5=10cm^2\\=87cm^2\\P=2(l+w)=2*(7+11)=36cm\\P=2(l+w)=2*(2+5)=14cm\\=50cm[/tex]
A mixture of gases was found to have a total pressure of 950 mmhg gas number 1 has a pressure of 335 mmhg gas number 2 has a pressure of 456 mmhg what is the pressure exerted by gas number 3
Answer:
The pressure exerted by gas number 3 is 159 mmHg
Step-by-step explanation:
To answer this question, the law to Use is Dalton’s law of partial pressure
Dalton’s law of partial pressure states that for a mixture of gases which do not mix, the total pressure exerted by such gases is equal to the sum of the individual pressure.
Now for the three gases, the total pressure Pt is equal to P1 + P2 + P3
Now we have Pt = 950 mmHg, P1 = 335 mmHg and P2 = 456 mmHg
P3 = Pt-P1-P2
Plugging the values above, we have ; 950-335-456 = 159 mmHg
Nina woke up at 8:00 A.M. At noon the temperature had risen 8°F. By 1:00 P.M. The temperature had risen another 4°F. There was a thunderstorm at 4:00 P.M. By 7:00 P.M. The temperature had fallen 11°F since 1:00 P.M. To 62°F. What was the temperature when Nina woke up?
Answer:
61 °F
Step-by-step explanation:
If T is the temperature at 8 a.m., we have ...
T +8 +4 -11 = 62
T +1 = 62
T = 61 . . . . . . subtract 1
The temperature was 61 °F when Nina woke up.
-1.58(6.02) Find The product Please explain
Answer:
-9.5116
Step-by-step explanation:
-1.58 * 6.02.
The easy way is to use your calculator.
To do it manually you can multiply -158 by 2, then by 10 and then by 600.
Add these 3 results.
This gives -95116.
Now you have 4 numbers after the decimal point in -1.58 and 6.02 so counting from the right in -95116 we locate the decimal point:
= -9.5116.
PLSS HELP ME it’s question #9!!!
Answer:
Step-by-step explanation:
The circumference of a circle is the distance around the outside of a circle. If we can find the circumference of the wheel, we can find out how far Elena can travel when her wheel turns one time. If we can find out how far she travels in one wheel turn, we will multiply that distance by 840 to see how far she travels when her wheels turn 840 times.
[tex]C=2\pi r[/tex] and
C = 2(3.14)(.25) so
C = 1.57 m
1.57 x 840 = 1318.8 meters
work out ⅕ of 80
work out 48÷½
❤︎シ︎✌︎
Step-by-step explanation:
1/5×80=80/5=16 because 1/5 out of 80 means to multiply 1/5 by 8o so the answer to that question is 16.
48÷1/2=48×2/1=96/1=96 because when you divide a fraction by fraction or a fraction with a number there is a rule that says you have to reverse the fraction on the right side and replace the division sign to a multiply sign and multiply. so the answer becomes 482)×2/1 which equals 96.
If f(x) = 6x-4 what is the value of f(8)
Answer:
f(8) = 44
Step-by-step explanation:
f(x) = 6x-4
Let x = 8
f(8) = 6(8) - 4
Multiply
= 48 -4
= 44
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 6), and then walks to a movie theater at (7, 6). After leaving the theater Tommy walks to the store at (7, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answer:
26 blocks
Step-by-step explanation:
To determine the number of blocks Tommy walked, you will calculate the distances between each of his points (ordered pairs).
Using the distance formula i.e[tex]\sqrt{(c-a)^2+(d-b)^2}[/tex]
(0,0) to (0,6) is : [tex]\sqrt{(0-0)^2+(6-0)^2}[/tex] = 6 blocks
(0,6) to (7,6) is: [tex]\sqrt{(7-0)^2+(6-6)^2}[/tex]= 7 blocks
(7,6) to (7,0) is: [tex]\sqrt{(7-7)^2+(0-6)^2}[/tex] = 6 blocks
(7,0) to (0,0) is: [tex]\sqrt{(0-7)^2+(0-0)^2}[/tex] = 7 blocks, back home
This totals 26 blocks that Tommy walked.
if you score 30 points for five games then how many points do you ern per game
Answer:
6 because 30 / 5 is 6
Step-by-step explanation:
The senior students have large lockers that line the school's southern hallway in a single row. A group of 7 friends agreed to choose lockers next to each other. How many different ways can the students choose adjacent lockers?
Answer:
84 different ways
Step-by-step explanation:
you have to do
7+6+5+4+3+2+1=28
6+5+4+3+2+1=21
5+4+3+2+1=15
4+3+2+1=10
3+2+1=6
2+1=3
1=1
28+21+15+10+6+3+1=84
84 different ways
find the value of x
-3=16-x
Answer:
Step-by-step explanation:I don't say you have to mark my ans as brainliest but if you think it has really helped you plz don't forget to thank me...
Find the sum: 34∑n=1(-17+8k)
Matthew Filled a gallon bucket half full with water .He than poured 1/2 of the water.
how much water is left
Answer:
No water
Step-by-step explanation:
On a coordinate plane, a line segment contains points (negative 5, 5) and (5, 0). Another segment contains points (negative 1, 1) and (1, 0). The segments shown are dilations of each other about the origin. Which statement could be true? The coordinate (1, 0) is from a dilation using the scale factor of One-fifth. The coordinate (5, 0) is from a dilation using the scale factor of 4. The coordinate (1, 0) is from a dilation using the scale factor of 5. The coordinate (5, 0) is from a dilation using the scale factor of One-fifth.
Answer:
A.The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The coordinate (1, 0) is from a dilation using the scale factor of One-fifth.
Give the credit to the other person,