Answer:
44 gallons in tank now
36 more gallons needed
Step-by-step explanation:
55% of 80 = 44
Solve the system using elimination
2x+3y=8
5x+6y=17
Answer:
x=1
Step-by-step explanation:
For this problem, we can choose to eliminate either the x values or the y values.
In this case, it would be easier to do y.
We alter the first equation by multiplying by -2 on both sides.
-4x+-6y=-16
Now, we have the equations
-4x+-6y=-16 and 5x+6y=17.
We can see that there is -6y in one equation and 6y in the other, meaning that if we add both equations together, the ys will cancel each other out because they are opposites.
So let's add the equations.
-4x-6y+5x+6y=-16+17
x=1
A baby giraffe measures 6 feet tall when it is
born, and it grows an average of foot each
month. Write an equation!
Answer:
equation 6+(½×n). n means the number of months
The equation that represents the situation is y = 6 + (1/2)x.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
A baby giraffe measures 6 feet tall when it is born.
Initial height of baby=6 feet.
Average growth per months = 1/2
=0.5 feet
Let x be the number of months.
And the height of a baby giraffe is y feet.
So equation is,
y = 6+0.5x
or, y = 6 + (1/2)x.
Therefore, the equation is y = 6 + (1/2)x.
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Find the value of “h” in the parallelogram shown below.
9514 1404 393
Answer:
0.24
Step-by-step explanation:
The area is the same regardless of how it is computed.
A = bh
(0.3)(0.4) = (0.5)(h)
h = 0.12/0.5 . . . . divide by the coefficient of h
h = 0.24
Reallyyy need helpppppppppp
Answer:
r = 3
Step-by-step explanation:
Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
Slope 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of a line passing through (4, 2) and (r, -6) is 8.
8 = [tex]\frac{2+6}{4-r}[/tex]
8(4 - r) = 8
4 - r = 1
r = 4 - 1
r = 3
What is the LCD of 8 5/12 and 3 5/8?
A.24
B.96
D.48
C.16
Answer:
24
Step-by-step explanation:
12, 24
8, 16, 24
A portion of an amusement park ride is shown. Find EF. Write your answer as a fraction in the simplest form
The point of intersection of two straight line graphs is the point with coordinates that satisfies both lines equations
The length of segment EF is presented as follows;
[tex]EF =\underline{\mathbf{ 17\dfrac{1}{7} \ ft.}}[/tex]
The reason why the above value is correct is as follows;
The given parameters are;
Height of right triangle ACD = 40 ft.
Height of right triangle BCD = 30 ft.
Required:
To find the length of EF
Solution:
The equation of the lines AC and BD are found and equated to find the height of EF as follows;
The slope of AC = [tex]\dfrac{-40}{CD}[/tex]
The equation of AC is presented as follows;
[tex]y - 40 = \dfrac{-40}{CD} \times (x - 0)[/tex]
[tex]y = \dfrac{-40}{CD} \times x + 40[/tex]
The slope of BD = [tex]\dfrac{30}{CD}[/tex]
The equation of BD is given as follows;
[tex]y - 30 = \dfrac{30}{CD} \times (x - CD)[/tex]
[tex]y = \dfrac{30}{CD} \times (x - CD)+ 30[/tex]
Equating both values of y to find the value of y at the intersecting point E, gives;
[tex]\dfrac{-40}{CD} \times x + 40 = \dfrac{30}{CD} \times (x - CD)+ 30[/tex]
Which gives;
[tex]\dfrac{40 \cdot CD - 40 \cdot x}{CD} = \dfrac{30 \cdot x}{CD}[/tex]
Therefore;
40·CD - 40·x = 30·x
[tex]CD = \dfrac{70\cdot x}{40} = \dfrac{7\cdot x}{4}[/tex]
[tex]CD = \dfrac{7\cdot x}{4}[/tex]
Therefore, at E, we have;
[tex]y = EF= \dfrac{40 \cdot CD - 40 \cdot x}{CD} = \dfrac{30 \cdot x}{CD}[/tex]
[tex]y = EF = \dfrac{40 \times \dfrac{7}{4}\cdot x - 40 \cdot x}{\dfrac{7}{4}\cdot x} = \dfrac{30 \cdot x}{\dfrac{7}{4}\cdot x} = \dfrac{120}{7} = 17\dfrac{1}{7}[/tex]
[tex]\underline {EF = 17\dfrac{1}{7} \ ft.}[/tex]
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The company's design team has created a box with a width 2 inches shorter than its length and a height 9 inches taller than twice its length. The volume of each box must be 45 cubic inches. What are the dimensions of the box?
Answer:
Step-by-step explanation:
The company's design team has created a box with a width 2 inches shorter than its length and a height 9 inches taller than twice its length. The volume of each box must be 45 cubic inches. What are the dimensions of the box?
The shape of a box is the same as the shape of a rectangular prism
The volume of a box = Length × Width × Height
The width is 2 inches shorter than its length
W = L - 2
The height 9 inches taller than twice its length.
H = 2L + 9
Hence,
45 in³ = L × (L - 2)× (2L + 9)
45 in³ = (L² - 2L) × (2L + 9)
45 in³ = 2L³ + 9L² - 4L² - 18L
45 in³ = 2L³ + 5L² - 18L
27 students are in a class. 15 play soccer, 11 play basketball and 4 students don’t play ether sport. How many play both sports
Answer:
3
Step-by-step explanation
Need this !!!! Badly
Answer:
78
Step-by-step explanation:
what is the value of the 7 in the number 34,795
Answer:
It is in the one hundreds place
<3
Answer:
700
Step-by-step explanation:
What is the volume
if the radius of
the balloon is
3.5 inches?
Answer:
The answer that I got was 179.6.
Step-by-step explanation:
Answer:
the answer is 179.6 i hope i helped
Eight more than the product of four and a number is twice the sum of the number and six. Write an equation that can be used to solve for this number. What is the number?
Work out the area of a rectangle with base, b = 14mm and perimeter, P = 30mm
Answer:
14 mm squared is the area
Step-by-step explanation:
What is the slope of the line passing through the points (1, 3) and (3, 9)?
A. 6
B. 2
C. 3
D. 1/3
Answer:
slope is 3
Step-by-step explanation:
Mark brainliest plz
Its correct
help me please it's hard for me!!!
Answer:
cheese
Step-by-step explanation:
Write a divison equation to show 100 ounces of soda equally among 12 people. how many ounces will each person have?
Answer:
100/12
They will each have 8 ounces.
Step-by-step explanation:
Answer:
8.3
Step-by-step explanation:
[tex]\frac{100}{12}[/tex]=8.3
45 45 90can someone help me solve this
Answer:
8√2 or 8sqrt2
Step-by-step explanation:
Enter the value for x that makes the equation-36-3x - 18 = 7 + 4x -19 true.
Answer:
x = -6
Step-by-step explanation:
<3<3<3<3<3<3<3
8 + (7 + 1)2 + 4
Can you help me find the answer to this one.
Answer:
28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
8+(7+1)2+4=
8+(8)×2+4=
8+16+4=
28
ps:Can I be brainliest.Have a nice day.Best regards
A.60 degrees
B.35 degrees
C.80 degrees
D.40 degrees
HELP ME PLS write in sentences and explain it and also help me solve it pls.??
Which statements about the graphs of functions g(x) = −1/4x^2 and f(x) = x2 are true? Select all that apply.
A. g is wider than f.
B. f and g open in the same direction.
C. f and g have the same vertex.
D. f and g have the same axis of symmetry.
Answer: c and d
Step-by-step explanation:
A function assigns the values. The correct options are A, C, and D.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The statements that are true about the two functions g(x)=(−1/4)x² and f(x)=x² are,
A. g is wider than f.
C. f and g have the same vertex.
D. f and g have the same axis of symmetry.
Hence, the correct options are A, C, and D.
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circumference of a car tire is 113.1 inches find the diameter of the tire. find the diameter of the tire to the nearest tenth of an inch
Answer:
36
Step-by-step explanation:
Answer:
diameter = 36 inches
Step-by-step explanation:
diameter = circumference / π
diameter = 113.1/3.14 = 36 inches
Does anyone know what I’ve done wrong?
Please help.
Answer:
Try not putting 4 in the rest of the venn diagram. Just leave it in the middle.
a cube has a volume of 27 cubic feet. suppose the dimensions are doubled. what is the volume of the new cube?
Answer:
54
Step-by-step explanation:
If there doubled that means add 27 plus 27
At the theater, the Seward family bought 2 adult tickets and 3 children's tickets for $44.50. The Sena family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a child's ticket.
Answer:
Adult ticket is $7.5 while a child's ticket is $11
Step-by-step explanation:
Given data
Let the cost of an adult ticket be x
and the cost of a child ticket be y
The Seward family
2x+3y= 44.50---------1
The Sena family
3x+6y= 78-------------2
solve 1 and 2
2x+3y= 44.50 X2
3x+6y= 78 X1
4x+6y= 89
- 3x+6y= 78
x+ 0= 11
x= 11
put x= 11 in 1
2x+3y= 44.50
2*11+3y= 44.5
22+3y=44.5
3y= 44.5-22
3y= 22.5
y= 22.5/3
y= 7.5
Hence Adult ticket is $7.5 while a child's ticket is $11
Find the volume of the prism
Answer:
20m^3
Step-by-step explanation:
1/2 x 2 x 4 x 5 = 20
Hope this helps!
Answer:
volume of prism = ½ bhl½*2*5*420Wɪʟʟ sᴏᴍᴇᴏɴᴇ ᴀɴsᴡᴇʀ✨
Answer:
c) He should add between 1 cup and 2 cups of dirt.
Step-by-step explanation:
ration of dirt to peat moss:
⇒ 8 parts dirt : 3 parts peat moss
⇒ x cups dirt : 1 cup peat moss
to find the value of dirt, take the ratio and turn it into a fraction
⇒ 8 : 3 = [tex]\frac{8}{3}[/tex]
⇒ x : 1 = [tex]\frac{x}{1}[/tex]
⇒ [tex]\frac{8}{3}[/tex] = [tex]\frac{x}{1}[/tex]
now, we multiply 1 on both sides to isolate x
⇒ [tex]\frac{8}{3}[/tex] x 1 = [tex]\frac{x}{1}[/tex] x 1
⇒ 2.67 = x
⇒ 2 cups of dirt
A cylindrical fish tank at the zoo has a capacity of 7252 cubic feet
What is the height of the tank if it’s radius is 16 feet?
The height of the tank if it’s radius is 16 feet is,
⇒ Height = 9.02 feet
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
A cylindrical fish tank at the zoo has a capacity of 7252 cubic feet.
Now, We know that;
Volume of a cylinder = π × radius² x height
Here, Radius is 16 feet.
Hence, We get;
Volume of a cylinder = π × radius² x height
7252 = 3.14 × 16² × h
⇒ 7252 = 803.84 h
⇒ h = 7252 / 803.84
⇒ h = 9.02 feet
Thus, The height of the tank if it’s radius is 16 feet is,
⇒ Height = 9.02 feet
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Find x, y, and z such that x³+y³+z³=k, for each k from 1 to 100.
ANSWER ASAP FOR BRAINLIEST
Step-by-step explanation:
Given : x³+y³+z³=k , k from 1 to 100
To Find : x, y, and z
Solution:
This Question can have lot of solutions as constraints are very less
there is no information whether x , y & z are integer
+ ve , Real numbers
k = 1
x= 1 , y = 0 , z = 0
x =0 , y = 1 , z = 0
x = 0 , y = 0 , = 1
k = 2
x= 1 , y = 1 , z = 0
x =0 , y = 1 , z = 1
x = 1 , y = 0 , = 1
k = 3
x= 1 , y = 1 , z = 3
x = 1 , y = 1 , z = 1
x = 1 , y = 0 , = 1
k = 4
x=∛3 , y = 1 , z = 0
x=∛2 , y = ∛2 , z = 0
x=∛2 , y = 1 , z = 1
This way we can have so many solution
Easiest :
x³+y³+z³=k,
x = ∛k , y = 0 , z = 0 will satisfy