Answer:
x=178n-53
Step-by-step explanation:
Sorry if it's wrong lol
Find the volume of the triangular prism.
Answer:
595
Step-by-step explanation:
So, the first step in solving this problem is finding the area of the base. To do this, we can split the triangle into halves, making two triangles with legs 5 and 7. Now, we just need to find the area for one triangle, and then multiply it by 2. The area of one triangle with legs 5 and 7 is 17.5, because (5*7)/2 is the formula for finding the area of the triangle. Now, we need to multiply the area of this triangle by 2 to get the area of the full triangle. 17.5*2 = 35, so the area of the base of the triangular prism is 35. Now, all we have to do is multiply the base by the height. Eventually, multiplying 35 * 17, we get 595.
A scientist wants to measure out .62liters of a liquid, but she can only find a beaker that measures volume in milliliters. How many milliliters should she measure to equal .62liters?
Answer:
620 milliliters
Step-by-step explanation:
1 milliliter= 0.001 liters
0.62L= move the decimal point 3 places to the left
0.62
06.2
062.
0620.
620 milliliters
1.
Directions:
Factor each expression.
Then find the roots of each equation.
I found all the factors, but not sure the roots of each equation.
Answer:
a. – 4 or –3
b. –4 or –2
c. 4 or –3
d. 7 or 4
Step-by-step explanation:
To factorize the above expression, multiply the first and last term together, then find two factors of the result such that their sum will result to the middle term of the expression.
Now, we shall give the answers to the question.
a. x² + 7x + 12 = 0
x² + 3x + 4x + 12 = 0
Factorise
x(x + 3) + 4(x + 3) = 0
(x + 4)(x + 3) = 0
x + 4 = 0 or x + 3 = 0
x = 0 – 4 or x = 0 – 3
x = – 4 or –3
Therefore, the roots of the equation are – 4 or –3
b. t² + 6t + 8 = 0
t² + 2t + 4t + 8 = 0
Factorise
t(t + 2) + 4(t + 2) = 0
(t + 4)(t + 2) = 0
t + 4 = 0 or t + 2 = 0
t = 0 – 4 or t = 0 – 2
t = –4 or –2
Therefore, the roots of the equation are –4 or –2
c. 2n² – 2n – 24 = 0
Divide through by 2
n² – n – 12 = 0
n² + 3n – 4n – 12 = 0
Factorise
n(n + 3) – 4(n + 3) = 0
(n – 4)(n + 3) = 0
n – 4 = 0 or n + 3 = 0
n = 0 + 4 or n = 0 – 3
n = 4 or n = –3
Therefore, the roots of the equation are 4 or –3
d. y² – 11y + 28 = 0
y² – 4y – 7y + 28 = 0
Factorise
y(y – 4) – 7(y – 4) = 0
(y – 7)(y – 4) = 0
y – 7 = 0 or y – 4 = 0
y = 0 + 7 or y = 0 + 4
y = 7 or 4
Therefore, the roots of the equation are 7 or 4.
When playing Yahtzee, I can roll 1 die and I need to roll a 2. What are my chances?
Answer:
Step-by-step explanation:
There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.
Answer:
A 60% chance
Step-by-step explanation:
ABC is a three digit number where each number represents a different digit. If A < C what is the greatest possible number?
Answer:
879
Step-by-step explanation:
Because C is greater than A, C has to be the largest possible number so that A can be as large as possible. because C is the largest possible number, which is 9, the next largest number is 8, which in this case is A. The next biggest number is 7 which is B.
To sum it all up, the number is 879.
From a board 8 feet in length, Emmet cut two 2 ⅓ foot bookshelves. How much of the board remained?
Answer:
3 2/5
I converted these into decimals, because I find it easier ^.^
We have an 8 feet board, and we twice remove 2 1/3 from that number.
8 - 2 1/3 = 5.7
5.7 - 2 1/3 = 3.4 or 3 2/5
~Hope this helps~
In a 30°-60°-90° triangle, the length of the hypotenuse is 30. Find the length of the shorter leg.
Answer:
15
Step-by-step explanation: I believe that's the answer because the hypotenuse in a 30 60 90 is x2 and 15x2=30
Answer:
15
Step-by-step explanation:
What is the value of y = 7 – 2c when x =4?
When x = 4, y =?
Find the slope of the line that contains (4, 8) and (3, 1).
Answer
Step-by-step explanation:
yl grafica
Answer:
The slope would be -7
Step-by-step explanation:
To find the slope, you find two points on a line and find the difference between x-values and y-values. Then divide the difference of y-values by the difference of x-values to acquire the slope. [tex]\frac{8-1}{-4+3}[/tex] = [tex]\frac{7}{-1}[/tex] or -7, so that would be the slope.
can someone help me ?!
Answer:
Gavin is incorrect. Divide 1/3 by 4, or multiply by 1/4. each friend gets 1/12 of the cake
Step-by-step explanation:
-2(x+1)-x+5 what do you think it is
Answer:
The answer is -3x + 3
one of the root of the quadratic equation dx²-cx+p=0 is twice other. find the relationship between d, c, and p
please help...I don't understand atall
Answer:
The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]
Step-by-step explanation:
Roots of a quadratic equation:
The roots [tex]r_1[/tex] and [tex]r_2[/tex] of a quadratic equation in the following format:
[tex]ax^2 + bx + c = 0[/tex]
Can be given by:
[tex]r_1 + r_2 = -\frac{b}{a}[/tex]
[tex]r_1r_2 = \frac{c}{a}[/tex]
In this question:
We have the following quadratic equation:
[tex]dx^2 - cx + p = 0[/tex]
So [tex]a = d, b = -c, c = p[/tex]
One of the roots is twice the other:
So [tex]r_2 = 2r_1[/tex]
First relation:
[tex]r_1 + r_2 = -\frac{b}{a}[/tex]
[tex]r_1 + 2r_1 = -\frac{(-c)}{d}[/tex]
[tex]3r_1 = \frac{c}{d}[/tex]
[tex]r_1 = \frac{c}{3d}[/tex]
Second relation:
[tex]r_1r_2 = \frac{c}{a}[/tex]
[tex]r_1*2r_1 = \frac{p}{d}[/tex]
[tex]2r_{1}^{2} = \frac{p}{d}[/tex]
[tex](\frac{2c}{3d})^2 = \frac{p}{d}[/tex]
[tex]\frac{4c^2}{9d^2} = \frac{p}{d}[/tex]
[tex]p = \frac{4c^2}{9d}[/tex]
The relationship between d, c and p is that [tex]p = \frac{4c^2}{9d}[/tex]
00 DKW wu
6. Jackson made a poster in the shape of a quadrilateral. Each pair of opposite sides of the poster (1 point)
are congruent, and parallel and all angles are congruent. Which of the following names best
describes the shape of Jackson's poster?
O parallelogram
Orhombus
O rectangle
O trapezoid
Rectangle
Just finished the post test right now.
Look at pic plz help
Answer:
Papa Ron's
Step-by-step explanation:
:)
At a farmers' market. Karen and Alice each bought some bread that cost $2 per loaf. Then Karen spent $3 to purchase other items, while Alice spent $1. Could the girls have bought the same number of loaves of bread and spent the same total amount?
1. Let x represent the number of loaves of bread. Fill in the boxes to write a system of equations for the total amounts spent.
Karen: y = x +
Alice: y = x +
2. What are the slopes of the lines represented by the equations?
3. What are the y-intercepts of the lines represented by the equations?
4. Do the lines intersect?
5. How many solutions are there to this system of equations?
math6. Can Karen and Alice have bought the same number of loaves of bread and spent the same total amount?
Answer:
(1)
Karen: [tex]y = 2x +3[/tex]
Alice: [tex]y = 2x +1[/tex]
(2): Slope is 2
(3) y intercept
[tex]b = 3[/tex] --- For Karen
[tex]b = 1[/tex] --- For Alice
(4) They do not intersect
(5) No solution
(6) No
Step-by-step explanation:
Given
[tex]x = loaves[/tex]
[tex]y = amount[/tex]
Solving (1): Complete the equation.
For Karen:
[tex]m = 2[/tex] --- the rate
[tex]b = 3[/tex] --- additional spendings
For Alice:
[tex]m = 2[/tex] --- the rate
[tex]b = 1[/tex] --- additional spendings
The general equation is;
[tex]y = mx +b[/tex]
For Karen, it becomes
[tex]y = 2x +3[/tex]
For Alice, it is:
[tex]y = 2x +1[/tex]
(2): The slopes.
In (1), we have:
[tex]m = 2[/tex] --- the rate (for both Karen and Alice).
This rate implies the slope.
Hence, the slope is 2
(3): The y intercept.
The additional spendings in (1) means the y intercept.
So, we have:
[tex]b = 3[/tex] --- For Karen
[tex]b = 1[/tex] --- For Alice
(4) Because they have the same slope, they do not intersect
(5) Number of solutions.
[tex]y = 2x +3[/tex]
[tex]y = 2x +1[/tex]
Subtract both equations
[tex]y-y = 2x-2x +3-1[/tex]
[tex]0 = 2[/tex]
This means there is no solution
(6) Can they spend the same amount on the same number of loaves
In (5), the equations have no solution
Hence, it is not possible to spend the same amount for the same number of loaves
Robert mixed 113 liters of blue paint with 123 liters of red paint to make 3 liters of purple paint. To make a new batch of purple paint he used 2 liters of red paint. Using the same ratio, Robert should use Response area liters of blue paint .
Answer:
[tex]Blue =1\frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Blue = 1\frac{1}{3}[/tex]
[tex]Red = 1\frac{2}{3}[/tex]
Required
Determine the amount of blue paint when Red = 2
To do this, we make use of the following equivalent ratios
[tex]Ratio = Blue : Red[/tex]
When [tex]Blue = 1\frac{1}{3}[/tex] and [tex]Red = 1\frac{2}{3}[/tex]
[tex]Ratio = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
When Red = 2
[tex]Ratio = Blue : 2[/tex]
Equate both ratios
[tex]Blue : 2 = 1\frac{1}{3} : 1\frac{2}{3}[/tex]
Convert to division
[tex]\frac{Blue}{2} =1\frac{1}{3} / 1\frac{2}{3}[/tex]
Convert fractions to improper fraction
[tex]\frac{Blue}{2} =\frac{4}{3} / \frac{5}{3}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{3} * \frac{3}{5}[/tex]
[tex]\frac{Blue}{2} =\frac{4}{5}[/tex]
Make Blue the subject
[tex]Blue =\frac{4}{5}*2[/tex]
[tex]Blue =\frac{8}{5}[/tex]
[tex]Blue =1\frac{3}{5}[/tex]
X+4b=72. If x=12, what’s the value of b?
Answer:
Step-by-step explanation:
12 + 4b = 72
Subtract 12 on both sides
4b = 60
b = 15
Classify the following triangle. Check all that apply.
9.8
120 5.2
200
40°
13.2
O A. equilateral
B. isosceles
C. right
D. acute
E. scalene
F. obtuse
h
Answer:
E and F
Step-by-step explanation:
✔️One of the angles of the triangle given has a measure that is above 90° (120°). An obtuse triangle triangle has an angle measure that is above 90°. Therefore, the triangle above is an obtuse triangle.
✔️All three angles and sides are of unequal measure, therefore, this can be referred to as a scalene triangle. A scalene triangle has 3 unequal angles.
Answer:
E F
Step-by-step explanation:
Which of the following statements about this function's domain is true?
A.) Domain: 0≤x≤16 and 0
The domain represents all of the values that were measured in this problem.
B.) Domain: 0≤y≤16
The domain represents the set of all possible inputs - the times when depth was measured.
C.) Domain: 0
The domain represents the set of all possible outputs - the various depths of the pool.
D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured.
Answer:
D.) Domain: 0≤x≤16
The domain represents the set of all possible inputs - the times when depth was measured
Step-by-step explanation:
Domain of a function is the possible set of inputs which are usually plotted on the x-axis, while range are corresponding outputs plotted on the y-axis.
In this case, the domain is the set of all possible inputs (x-values), which represents the times the depth was measured.
Domain ranges from 0 to 16. Thus:
Domain: 0 ≤ x ≤ 16
If you invest $5,000 into an account paying 6% interest compounded
continuously, how many years will it take until there is $8,000 in the account?
6.83 years
7.83 years
8.67 years
9.67 years
Answer: 7.83 years
:)))
What is a multiple of 1/7 I need a answer quickly. its due tonight please help
Answer:
2/7
Step-by-step explanation:
Hope that helps! (Brainliest please!)
Help i can’t find this answer anywhere.
Answer:
B, I think that's the answer
suppose that ln2=a and ln3=b. use properties of logarithms to write the logarithm in terms of a and b.
question: ln 7 square root of 6 =?
Answer:
1/5(a+b)
Step-by-step explanation:
Find the distance between the points L(7, -1) and MC – 2, 4).
Answer:
The distance between the points
d = LM = 10.24
Step-by-step explanation:
Step(i):-
Given that the points are L ( 7,-1) and M (-2,4)
The distance formula
LM = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
Step(ii):-
[tex]LM= \sqrt{(-2-7)^{2} +(4-(-1) )^{2} }[/tex]
LM = [tex]\sqrt{(-9)^{2} +(5)^{2} }[/tex]
LM = √106
LM = 10.29
The distance between the points
d = LM = 10.24
The tortoise and the hare are having a race.In this tale,the tortoise moves 50 ft per hr while the hare moves at 250ft per hour. The tortoise takes 8hrs longer than the hare to finish.
a. Let t represent the unknown time in hours that it took the hare to complete the race,
Write an expression (not an equation!) representing the time it took the tortoise to finish
the race.
b. Write two equations that represent the race, one for the hare and one for the tortoise.
c. What is the distance of the race?
Answer:
Step-by-step explanation:
6y + 25 = 79
can you please help?
Answer:
y=9
Step-by-step explanation:
6y=79-25
= 6y= 54
= y=54/6
= y= 9
Hannah and Anthony are siblings who have ages that are consecutive odd integers. The sum of their
ages is 92. Which equations could be used to find Hannah's age, h, if she is the older sibling?
Answer:
2h-2=92 and h-2=92-h.
Step-by-step explanation:
Hannah, h, is the older sibling and their ages are consecutive odd integers. This means that Anthony's age will be 2 less than Hannah's, or h-2.
The sum of these would be h+(h-2), giving us the equation h+(h-2)=92.
Combining like terms we would have the first correct choice, 2h-2=92.
Our first equation can be transformed, however, to have (h-2) by itself. To do this, we would subtract h from both sides, giving us h-2=92-h.
The equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the age of Hannah be x. and Since the age of Hannah and Anthony are two consecutive odd integers, therefore, the age of Anthony will be (x+2).
As it is given that the sum of the ages of the two other person is 92, therefore, the equation that will represent the sum of the age of the two persons can be written as,
[tex]x+(x+2)=92\\\\x+x+2=92\\\\2x+2=92[/tex]
Thus, the equation that will represent the sum of the age of Hannah and Anthony will be 2x+2=92.
Learn more about Equation:
https://brainly.com/question/2263981
hello twngan sus puntos!!
Answer:
2029jjajvdjsjsvdghsjsjbs
Answer:
Answer:
Step-by-step explanation:
Thanks for free points!
The playing surface of a football field is 263 feet long and 116 feet wide. If a player runs from one corner of the field to the opposite corner, how many feet does he run? Round to the nearest whole number.
Answer:
263 ft
Step-by-step explanation:
Because the field is 263 feet long he is not running wide
it is already rounded hope this helps
Jorge has some dimes and quarters. He has 10 more dimes than quarters and the collection of coins is worth $2.40. How many dimes and quarters does Jorge have?
Answer:
14 dimes and 4 quarters
Step-by-step explanation:
x= number of dimes
y=number of quarters
x-10=y
0.10x+0.25y=2.40
substitute for y
0.10x+0.25(x-10)=2.40
0.35x-2.50=2.40
0.35x=4.90
x=14
y=4