Answer:
x=7
Step-by-step explanation:
set it equal to 90 because of vertical angles and solve
Solve: -4x = 20
A.) x = 5
B.) x = 24
C.) x = -5
D.) x = 16
Answer:
C.) x = -5
Step-by-step explanation:
-4x = 20
x = -5
-4(-5) = 20
Answer:
C) x=-5
Step-by-step explanation:
-4x=20
divide both sides by -4.....
-4x÷-4=20÷-4
x=-5
POSSIBLE POINTS: 2
A tank that is 40% full contains 650 gallons of water. On a side sheet of paper, use a double number line to find the maximum capacity of the water tank.
What did you get?
gallons
Answer: max capacity is 1625 gallons.
Diagram is shown below.
=========================================================
Explanation:
We'll draw two horizontal number lines to help make a comparison or connection between percentages and tank capacity.
For the top number line, make 5 sections with the labels: 0%, 20%, 40%, 60%, 100%. The reason I'm picking 5 is because 40% = 40/100 = 2/5. So having 40% capacity means we're 2/5 full. That denominator 5 tells us how to subdivide each number line.
The bottom number line will also have 5 sections. We only know one label for this bottom portion right now. That label is 650. Place this directly under the "40%". This visually is one way to represent that 650 gallons is 40% filled. See the diagram below.
Cut the 650 in half to get 325. This corresponds to 40% cut in half to get 20%. Therefore, 325 will go under the 20%. Being 20% full means we have 325 gallons of water.
To figure out the 60% portion, we will multiply 325 by 3. This is because 3*20% = 60%, so 3*325 = 975. We'll write "975 gallons" under the "60%"
Then we have 1300 gallons under the 80% since 4*325 = 1300. Note how 4*20% = 80%, so that's where the '4' multiplier comes from.
Finally, we multiply 325 by 5 to get 1625 and that represents the full tank's capacity. Technically we could have just jumped to this directly without having to find the 60% or 80% capacity values, but it's good practice I think.
Again the diagram is shown below. The answer we're after is at the very bottom right corner. It's under the 100% to indicate the tank is completely full, or has reached max capacity.
-----------------------
Here's a way to find the answer without a double number line. This method involves setting up a proportion.
(40% full)/(650 gallons) = (100% full)/(x gallons)
40/650 = 100/x
40x = 650*100
40x = 65000
x = 65000/40
x = 1625
We confirm that the tank's max capacity is 1625 gallons.
What's the answer to 8m - 14=3m+46
Answer:
Simplifying
8m + -14 = 3m + 46
Reorder the terms:
-14 + 8m = 3m + 46
Reorder the terms:
-14 + 8m = 46 + 3m
Solving
-14 + 8m = 46 + 3m
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-3m' to each side of the equation.
-14 + 8m + -3m = 46 + 3m + -3m
Combine like terms: 8m + -3m = 5m
-14 + 5m = 46 + 3m + -3m
Combine like terms: 3m + -3m = 0
-14 + 5m = 46 + 0
-14 + 5m = 46
Add '14' to each side of the equation.
-14 + 14 + 5m = 46 + 14
Combine like terms: -14 + 14 = 0
0 + 5m = 46 + 14
5m = 46 + 14
Combine like terms: 46 + 14 = 60
5m = 60
Divide each side by '5'.
m = 12
Simplifying
m = 12
Answer:
m = 12
Step-by-step explanation:
We want to isolate "m" on one side of equation to see what it is equal to.
Step 1.
Add 14 to both sides of the equation to get 8m = 3m + 60
Step 2.
Subtract 3m from both sides to get 5m = 60
Step 3.
Divide both sides by 5 to get m = 12.
Consider the two functions which statement is true
Answer:
I think it's C
Step-by-step explanation:
Because the line is straight up and it on -2
Hope this helps if it's wrong i'm sorry but i hope it's right.:)
Suppose your drama club's budget doubles every year. This year the budget is $500. How much was the club's budget 2 yr ago? What expression models what the budget of the club will be in 1 yr? In 2 yr? In y years? What value of y can you substitute into your expression to find the budget of the club 2 yr ago?
Answers:
2 Years ago the budget was: 125$
The budget in one year will be: 1000$
The budget in 2 years will be: 2000$
Expression used:
500 divided by 2 ( One year back )
250 divided by 2 ( two years back)
The number 70 is decreased to 41. What is the percentage by which the number was decreased, to the nearest tenth of a percent?
Answer:
Decreased percent = 41.4 % (Approx.)
Step-by-step explanation:
Given:
Old number = 70
New number = 41
Find:
Decreased percent
Computation:
Decreased number = 70 - 41
Decreased number = 29
Decreased percent = [29 / 70]100
Decreased percent = 41.42%
Decreased percent = 41.4 % (Approx.)
find the slope of the line of best fit shown below.
Select no real solution, one real solution, or infinitely many real solutions for each of the following equations.
No Real Solution One Real Solution Infinitely Many Real Solutions
√x – 13=-4
2√x+10=8
2/x-1= 3/x+2
Answer:
one real solution
no real solution
one real solution
Step-by-step explanation:
which function is equivalent to
f(x) = -4 (x+7)^2 - 6
Answer:
A
Step-by-step explanation:
-4(x^2+14x+49)-6
-4x^2-56x-196-6
-4x^2-56x-202
Answer:
F(x)=-4x^2 - 56x - 202
Step-by-step explanation:
A right angled triangular prism has length 3m, breadth 2m and height 2.5m. If the mass of the prism is 3.4kg, find its density
Answer:
The density of the prism is 0.453 kilograms per cubic meter.
Step-by-step explanation:
Let suppose that mass in the prism is uniformly distributed. Then, the definition of density ([tex]\rho[/tex]), in kilograms per cubic meter, is defined by the equation below:
[tex]\rho = \frac{m}{V}[/tex] (1)
Where:
[tex]m[/tex] - Mass, in kilograms.
[tex]V[/tex] - Volume of the right angle triangle prism, in cubic meters.
Besides, the volume of the right angle triangle prism is:
[tex]V = \frac{1}{2}\cdot b\cdot h\cdot l[/tex] (2)
Where:
[tex]b[/tex] - Breadth of the base, in meters.
[tex]h[/tex] - Height of the base, in meters.
[tex]l[/tex] - Length of the base, in meters.
If we know that [tex]b = 2\,m[/tex], [tex]h = 2.5\,m[/tex], [tex]l = 3\,m[/tex] and [tex]m = 3.4\,kg[/tex], then the density of the prism is:
[tex]V = 7.5\,m^{3}[/tex]
[tex]\rho = 0.453\,\frac{kg}{m^{3}}[/tex]
The density of the prism is 0.453 kilograms per cubic meter.
A group of friends were working on a student film. They spent $476 on equipment, which was 85% of their total budget. What was the total budget for their student film?
Which ordered pair describes the location of the point shown on the
coordinate system below?
10.
10
10
A. (3,-5)
B. (-5,3)
C. (3,5)
D. (-5, -3)
Your answer is A!
Step-by-step explanation:
Your answer is A!
The coordinate point from the given graph is (3, -5). Therefore, option A is the correct answer.
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
From the given coordinate plane, the coordinate point lies in fourth quadrant.
Where, x-coordinate is positive and y-coordinate is is negative.
The coordinate point correspond to x-axis is 3 and coordinate point correspond to y-axis is 5.
So, the coordinate point is (3, -5)
Therefore, option A is the correct answer.
Learn more about the coordinate plane here:
https://brainly.com/question/24134413.
#SPJ5
Please help I will mark you as the brainiest, I sincerely am grateful if you answer~
Answer:
The amount of money they will spend at the restaurant is $35.16
Step-by-step explanation:
From the information given in the question, we have;
The amount Jessica, Genesis, and Violet received as bill at the restaurant, X = $29.30
The amount they wished to leave as tip, T = 20% (of the bill)
Therefore, the amount of money they will spend at the restaurant, 'A', is given as follows;
A = X + T
T = 20% of X = 20/100 × X = 0.2·X
∴ A = X + 0.2·X = 1.2·X
X = $29.30
A = 1.2·X = 1.2 × $29.30 = $35.16
The amount of money they will spend at the restaurant, A = $35.16
MATH HELP WILL MARK BRANLIEST
In a certain Algebra 2 class of 21 students, 10 of them play basketball and 9 of them play baseball. There are 8 students who play neither sport. What is the probability that a student chosen randomly from the class plays both basketball and baseball?
Answer:
6/21 or 2/7
Step-by-step explanation:
on delta math
what is -9 = -6r simplified
Answer:
Exact Form:
r = 3/2
Decimal Form:
r = 1.5
Mixed Number Form:
r =1 1/2
Step-by-step explanation:
What is the range for the third size of the triangle 13,24?
Answer:
third side range
5
<
C
<
11
Step-by-step explanation:
1/3+ blank =3/4 plsssss help
Answer:
= 5 /1 2
Step-by-step explanation:
I'm so sorry be can you guys help me out here?
what is the value of 6n - 2 when n=3?
a.16
b.12
c. 6
d.7
Answer:
Step-by-step explanation:
value of 6n-2 when n=3 is 6(3)-2 = 18-2 = 16
(1 x2) x (3 x 2) x (1 x 3) = ?
Answer:
2*6*3= 36
Step-by-step explanation:
hope this helps
Multiply whats inside the prentices first, then multiply on the outside then that's how you will get your answer
Please solve for the maximum value
f(x) = -2x^2 - 12x - 16
Answer:
-2(x+4)(x+2)
Step-by-step explanation:
thats the answerer
Find the volume of the cone.
Either enter an exact answer in terms of # or use 3.14 for and round your final answer to the nearest hundredth.
Answer:
v ≈ 78.54
Step-by-step explanation:
v = π [tex]r^{2}[/tex] [tex]\frac{h}{3}[/tex]
so v ≈ 78.54
S
What is the solution to this system of equations?
3x + y = 2
2 + 3y
-
--18
re
O (2,-6)
ware
O (3,-7)
(-6, 2)
aphing
O (-7,3)
Answer:
-7,3
Step-by-step explanation:
look at the pictire
A rectangle is a parallelogram. What is true of the diagonals of a rectangle
that is not true of the diagonals of a parallelogram, in general?
Answer:diagonals of rectangle are equal in length while diagonals of a parallelogram can be different lengths
Step-by-step explanation:
What is true of a rectangle that is not true of a parallelogram is that; the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.
We are dealing with rectangles and parallelogram here.
Now, both rectangle and parallelogram have 4 sides respectively with 2 of the sides being equal.
Now, for a rectangle, the diagonals are always equal because all the internal angles are equal.
However, for a parallelogram, all the internal angles are not equal and as such the diagonals are also not equal.
In conclusion, what is true of a rectangle that is not true of a parallelogram is that the diagonals of a rectangle are equal but the diagonals of a parallelogram are not equal.
Read more about diagonals of Quadrilaterals at; https://brainly.com/question/25806235
Dan took out a 24-year loan for $111,000 at an APR 0f 7.7%, compounded monthly, while Forrest took out a 24-year loan for $96,000 at an APR of 7.7%, compounded monthly. Who would save more by paying off his loan 13 years early?
Answer: Dan Would save more Since he has $15,000 more in principal.
Answer: he would save15,000
Step-by-step explanation:
How many ways can you write one whole as a fraction
Answer:
infinite
Step-by-step explanation:
you could say 1/1 or 4/4 or 146798245/146798245
any number over itself is a whole
Does that answer it? I feel like I'm missing something
Answer:
Any
Step-by-step explanation:
You can write one whole by making the numerator and denominator the same number. Examples: 2/2 3/3 4/4 5/5 6/6 7/7 8/8 9/9 10/10 100/100 20/20
Can someone answer this
Wayne earns 7%
simple interest for 5
years on $3500. What
is the total amount in
the account?
Answer:
49
Step-by-step explanation:
3500 divided by 5 equals 700
700 times 7% equals 49
10. Select all of the phrases that could be represented by the algebraic expression 2k - 4
a. The difference between number k and 4
b. 4 fewer than the product of 2 and a number k
c. The product of 2 and the quantity 4 and a number k
d. 4 less than 2 times a number k
Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted. If one of the 255 subjects is randomly selected, find the probability that the person is over 40 given that he or she is a root beer drinker.
A.) 5/17
B.) 6/17
C.) 15/17
D.) 2/5
Answer:
B) 6/17
Step-by-step explanation:
P( root beer AND over 40)/P(over 40)
30/(20+30+35)
30/85
6/17
due before 2:30 !! help !!
Answer:
x = 11
Step-by-step explanation:
33 divided by 3 is 11, and 11 times 3 is 33.
answer:
11
step-by-step explanation:
the easiest way to explain this is just to divide
33/3
which gets you the answer of 11
but here is another way to explain this
3x = 33
since the 3 and the x are times/multiplying each other and we need to get x by its self, all we do is move the 3 to the other side ( where 33 is ) but instead of multiplying them, we have the change the sign to dividing
3x = 33
/3 ----|>
( dont forgot to rewrite the equation!! )
x = 33/3
now all we need to do is divide 33 by 3 which gives us the answer of
11
hope this helps you! and if you ever need anymore help of problems like theses, just ask me :)