Answers
Answer: 4) 7c ^2d - 7c + 4d - 10
Explanation:
First write equastion as seen:
5c^2d - 4c + 3d - 3 + 2c^d - 3c+ d - 7
Next add the c^2d’s together:
7c^2d - 4c + 3d - 3 + 3c + d - 7
Add the c’s together:
7c^2d - 7c + 3d - 3 + d - 7
Add the d’s:
7c^2d - 7c + 4d - 3 - 7
Lastly add the normal numbers:
7c^2d - 7c + 4d - 10
Thus, that is your answer!
Hope this helps! :)
To answer the question you have to group all like terms together
(eg n^2 + n^2 is 2n^2)
5c^2d - 4c + 3d - 3 + 2c^2d - 3c + d - 7
First group the similar terms together
5c^2d + 2c^2d - 4c - 3c + 3d + d - 3 - 7
Then add or subtract the terms from each other depending on the symbol separating them
5c^2d + 2c^d = 7c^2d
-4c - 3c = - 7c
3d + d = 4d
-3 - 7 = -10
Then collect the now simplified terms together to make an expression
7c^2d - 7c + 4d - 10
The correct answer is the second box down.
Related Questions
4
-5a+b=8
7a +9b = -32
I need to use substitution for this one. Help?
Answers
Answer:
a = -2, b = -2Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}-5a+b=8&\text{add}\ 5a\ \text{to both sides}\\7a+9b=-32\end{array}\right\\\\\left\{\begin{array}{ccc}b=5a+8&(1)\\7a+9b=-32&(2)\end{array}\right\\\\\text{Substitute (1) to (2):}\\\\7a+9(5a+8)=-32\qquad\text{use the distributive property}\\\\7a+(9)(5a)+(9)(8)=-32\\\\7a+45a+72=-32\qquad\text{subtract 72 from both sides}\\\\52a=-104\qquad\text{divide both sides by 52}\\\\\boxed{a=-2}\\\\\text{Put the value of}\ a\ \text{to (1):}\\\\b=5(-2)+8\\\\b=-10+8\\\\\boxed{b=-2}[/tex]
Which describes the combined variation shown in the equation F= kxy/z ?
Answers
Answer:
First question is D: F varies directly with x and y, and inversely with z.
Second Question is B Y=kx^3/sq root z
Edge Verified
Answer:
part 1 = d
part 2= b
Step-by-step explanation:
I just got it right on edg
Each day Julian gives his dog, Banjo, 3 liters of water and 500 grams of food. Julian wants to track the total amount of the food and water he gives Banjo for 1 week. Julian plots a point at (3, 500) to represent the first day on a coordinate grid.
Then Julian uses a pattern to plot 6 more points. What are the coordinates and significance of the fifth point Julian plots?
A coordinate plane has a x-axis labeled
A.
(12, 2,500); In 5 days, Julian gave Banjo a total of 12 liters of water and 2,500 grams of food.
B.
(15, 2,500); In 5 days, Julian gave Banjo a total of 15 liters of water and 2,500 grams of food.
C.
(15, 2,500); On the fifth day, Julian gave Banjo 15 liters of water and 2,500 grams of food.
D.
(18, 3,000); In 5 days, Julian gave Banjo a total of 18 liters of water and 3,000 grams of food.
Answers
Answer:
The correct answer would be option C.
Step-by-step explanation:
Since he gives the dog 3 liters of water and 500 grams of food a day we know that on the fifth day the dog will have gotten 15 liters of water and 2,500 grams of food.
The required coordinate will be (15, 2,500)
Given that the coordinates of the point at (3,500) represent the first day on a coordinate grid if Julie uses a pattern to plot 6 more points, the pattern used can be geometric in nature.We can scale the coordinate point up by five units since we need to get the significance of the fifth point Julie plots.Hence the required coordinate will be (15, 2,500) which is interpreted as the fifth day, Julie gave Banjo 15 liters of water and 2,500 grams of food.
Learn more here: https://brainly.com/question/11519818
In isosceles triangle RST shown below, RS = RT,
Mand N are midpoints of RS and RT , respectively,
and MN is drawn. If MN = 3.5 and the perimeter
of RST is 25, determine and state the length of
NT.
Answers
The length of NT in isosceles triangle RST is 7.
Explanation:In an isosceles triangle, the base angles are congruent, and the sides opposite those angles are also congruent. Let's denote the length of RS (and RT) as r, and the length of MN as m Since M and N are midpoints, MN is parallel to the base, and its length is half the length of the base. Therefore, [tex]\( m = \frac{r}{2} \).[/tex]
The perimeter of the triangle is the sum of the three sides, so [tex]\( 2r + r = 25 \) (as RS = RT).[/tex] Solving for r, we get [tex]\( r = \frac{25}{3} \).[/tex]
Now, we know that [tex]\( m = \frac{r}{2} \),[/tex] so [tex]\( m = \frac{25}{6} \)[/tex]. Finally, the length of NT is the difference between RT and MN, which is [tex]\( \frac{25}{3} - \frac{25}{6} = 7 \).[/tex]Therefore, the length of NT is 7 units.
QUESTION:Consider isosceles triangle RST, where RS = RT. Let M and N be the midpoints of sides RS and RT, respectively. A segment MN is drawn with a length of 3.5 units. The perimeter of triangle RST is given as 25 units. Determine and state the length of NT.
Please provide a comprehensive solution to this problem, including step-by-step calculations and explanations.
Final answer:
By applying properties of isosceles triangles and the given conditions, we calculate that the length of segment NT is 4.5 units.
Explanation:
The subject matter is a geometrical problem involving an isosceles triangle with given conditions. In isosceles triangle RST, RS and RT are equal in length, M and N are the midpoints of RS and RT respectively, and MN is drawn with a length of 3.5 units. Given that the perimeter of the triangle is 25 units, we need to find the length of segment NT.
To solve this, we first understand that in an isosceles triangle, the perpendicular from the vertex to the base bisects the base. Therefore, segment MN cuts the base ST equally in two, making each half 3.5 units, since MN = 3.5 units. Furthermore, because M and N are midpoints, segments MS and NT are equal. Finally, by knowing the perimeter, we can deduce that RS + ST + RT equals 25 units.
Thus, we can derive the lengths of RS and RT (which are equal) and then use that information to calculate the length of NT. If RS = RT and we call that length x, then 2x + 2(3.5) = 25. Solving for x gives us x = (25 - 7)/2 = 9. Thus, segment NT as the half of either RS or RT is 9/2 = 4.5 units.
Enter the unknown value that makes this statement true.
20% of _______ is 120
Answers
Answer:
600
Step-by-step explanation:
20%=0.2
120/0.2=600
Brainliest + thank you + 5 Stars + 18 points
Pam goes skydiving and falls at a constant rate toward the ground. The equation y = -32x + 13,500 represents the situation where y is the height of Pam in feet above the ground and x is the seconds since she jumped.
Which statement describes the situation?
From a starting position of 13,500 feet above the ground, she is ascending at 32 feet per second.
From a starting position of 32 feet above the ground, she is descending at 13,500 feet per second.
From a starting position of 32 feet above the ground, she is ascending at 13,500 feet per second.
From a starting position of 13,500 feet above the ground, she is descending at 32 feet per second.
Answers
Answer:
From a starting position of 13,500 feet above the ground, she is descending at 32 feet per second.
Step-by-step explanation:
The equation is in slope intercept form. [tex]y=mx+b[/tex]
The slope (m) is -32. This can be used as a unit rate: -32 ft per second.
The y-intercept (b) is 13,500. It would make most sense if she started at 13,500 ft in height.
From a starting position of 13,500 feet above the ground, Pam is descending at 32 feet per second.
Answer:
The answer is B) From a starting position of 13,500 feet above the ground, she is descending at 32 feet per second.
Step-by-step explanation:
D does not make since because if you start at 32ft you can't fall 13,500ft. There is nowhere for you to go.
A and C don't make since because you can't fall upward.
Dylan opened a credit card account with $750.00 of available credit. Now that he has made some purchases, Dylan's account only has $412.50 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
Answers
Answer:
45%
Step-by-step explanation:
The formula to work out the decrease is:
Percentage Decrease= actual decrease / original amount X 100%
1) So firstly, we have to work out the decrease, to do this we have to do is do $750-$412.50= $337.50
2) We can now substitute this into our formula which will now be. (We will also add the original amount, which is $750.00)
Percentage Decrease= 337.50 / 750.00 X 100% = 45
The percentage decrease is 45%
Draw the image of the figure with the given vertices under a dilation with the given scale factor centered at the origin j(-2,2), K(4,2), L(4,-2), M(-2,-2); Scale factor: 1/2
Answers
To create the image of a figure under a dilation with a scale factor of 1/2 centered at the origin, multiply each vertex coordinate by 1/2. The new coordinates for vertices j, k, l, and m would be j'(-1, 1), k'(2, 1), l'(2, -1), and m'(-1, -1), respectively.
Explanation:The student is asking for the image of a figure after performing a dilation with a scale factor centered at the origin. To perform this dilation, you need to multiply the coordinates of each vertex by the scale factor. For a scale factor of 1/2, each coordinate of the vertices is halved. Therefore, the new vertices after the dilation will be:
j'(-2 \\times 1/2, 2 \\times 1/2) = j'(-1, 1)k'(4 \\times 1/2, 2 \\times 1/2) = k'(2, 1)l'(4 \\times 1/2, -2 \\times 1/2) = l'(2, -1)m'(-2 \\times 1/2, -2 \\times 1/2) = m'(-1, -1)These new vertices j', k', l', and m' will give you the dilated figure.
You earn $72 for every 8 hours you spend shoveling snow. You earn $60 for every 5 hours you spend babysitting. For every 3 hours you spend babysitting, you spend 2 hours shoveling snow. You babysit for 15 hours in January. How much money do you earn in January?
Answers
$72/8 = 9. 9•10=90
$60/5 = 12. 12•15=180
$180+$90= $270
Answer:
$270.00
Step-by-step explanation:
The ratio of house of babysitting and house is 3:2. If you change the 3 into a 15, you would have to change the 2 into a 10 because 3 x 5 = 15, so 2 x 5 = 10.
After you do those calculations you divide 15 by 5 and that is 3. You then multiply 60 by 3 = 180.
After that you have to divide 10 by 8 and you get 1.25. You then multiply 72 by 1.25 = 90.
Then you add 180 and 90 together to get $270.00
29 points! Simplify. So uh yeah thats it.
Answers
Answer:
27[tex]\frac{27}{4x^{6}y^{8} }[/tex]
Step-by-step explanation:
your going to raise the power on the numerator by 3 and the denominator 4 so you get [tex]\frac{4*27x^{6} y^{12} }{16x^{12}y^{20} }[/tex] then reduce and simplify
[tex]\rightsquigarrow[/tex] [tex]\bold{\dfrac{4(3x^2 y^4)^3}{(2x^3 y^5)^4} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{\dfrac{4(3x^5 y^{12})}{2x^{12} y^{20}} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{\dfrac{ 12x^5 y^{12}}{2x^{12} y^{20}} }[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{ \dfrac{\cancel{12x^5 y^{12}}}{\cancel{2x^{12} y^{20}}}}[/tex]
[tex]\rightsquigarrow[/tex] [tex]\bold{\dfrac{6}{x^7 y^8} }[/tex]
Find the product of (x − 7)^2. Basically Simplify It
Answers
Answer:
(x - 7)² = x² - 14x + 49Step-by-step explanation:
[tex]\bold{METHOD\ 1:}\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-7)^2=x^2-2(x)(7)+7^2=x^2-14x+49\\\\\bold{METHOD\ 2:}\\\\\text{We know:}\ a^2=a\cdot a\\\\(x-7)^2=(x-7)(x-7)\\\\\text{Use FOIL:}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(x)(x)+(x)(-7)+(-7)(x)+(-7)(-7)\\\\=x^2-7x-7x+49\qquad\text{combine like terms}\\\\=x^2-14x+49[/tex]
A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 30 books. There were 4 times as many large boxes sent as small boxes, which altogether can hold 280 books. Write a system of equations that could be used to determine the number of small boxes sent and the number of large boxes sent. Define the variables that you use to write the system.
Answers
Answer:
20*s+30*l = 280
4*s=l
Step-by-step explanation:
Let's say that the number of small boxes is s and the number of large boxes is l. Then, 20*s equals the amount of books in small boxes (as there are 20 books per small box), and 30*l for the amount of books in large boxes. Then, we know that 4 times the amount of small boxes, s, equals l, so 4*s=l. Then, as we know that the amount of books that can be held is 280, we can add the amount of books for each type of box, or 20*s+30*l, to get 280. Our equations are as follows:
20*s+30*l = 280
4*s=l
As we can define l in terms of s, making it so that we can limit the top equation to 1 variable, we can use this to determine the number of each type of box
Which description best fits the distribution of
the data shown in the histogram?
A)skewed left
B)skewed right
C)uniform
D)approximately bell-shaped
Answers
Answer:
D) approximately bell-shaped
Step-by-step explanation:
a bell-shaped histogram is where you can draw a vertical line to the top of the histogram (in this case to the blue line at frequency 12) and a "mirror" line going back down (1 (200-249) ) where the bell-shape can make the shape going through all the lines of the histogram.
I hope I explained that well, and I hope that helps!
simplify 8(p+7+2q) using the distributive property
Answers
Answer:
8p + 56 + 16q
Step-by-step explanation:
To distribute, we must multiply all numbers/terms inside the paranthesis by '8.'
So:
8(p) = 8p
8(7) = 56
8(2q) = 16q
So your expression would be 8p + 56 + 16q ^-^
Answer:
[tex]\rm{8p+56+16q[/tex]
Step-by-step explanation:
Hi there!
The Distributive Property states that
a(b+c)=ab+ac
Let's use this property to simplify our expression:
[tex]\rm{8(p+7+2q)[/tex]
[tex]\rm{8p+56+16q[/tex]
Thus, [tex]\rm{8p+56+16q[/tex] is our final answer.
[tex]\star\star[/tex]Hope it helps! Enjoy your day!
[tex]\bold{GazingAtTheStars(:}[/tex]
Given that n is an integer and that n>1, prove algebraically that n²-(n-2)²-2 is always an even number
Answers
Answer:
see explanation
Step-by-step explanation:
Any integer n > 1 multiplied by 2 will be even, that is
2n ← is even
Given
n² - (n - 2)² - 2 ← expand parenthesis
= n² - (n² - 4n + 4) - 2
= n² - n² + 4n - 4 - 2 ← collect like terms
= 4n - 6 ← factor out 2 from each term
= 2(2n - 3)
Hence 2(2n - 3) ← will always be even for n > 1
The statement can be proved by parenthesis that the expression [tex]n^{2} - (n - 2)^{2} - 2[/tex] is always an even number.
What is the process of expanding the polynomial and check whether it is a even number ?= [tex]n^{2} - (n - 2)^{2} - 2[/tex]
= [tex]n^{2} - (n^{2} - 4n + 4) - 2[/tex]
= [tex]4n - 4 - 2[/tex]
= [tex]4n - 6[/tex]
= [tex]2(2n - 3)[/tex]
As the expression 2(2n - 3) is always a multiple of 2 and also it is given that n>1 therefore by the parenthesis, the expression [tex]n^{2} - (n - 2)^{2} - 2[/tex] is always an even number.
To learn more about algebraic expressions, refer -
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A number increased by negative eight is equal to fourteen. Which equation could be used to find the number? n + 8 = 14 n - (-8) = 14 n + (-8) = 14 8 - n = 14
im confused?
Answers
Answer:
n +(-8)=14
Step-by-step explanation:
a number is 'n'
is adding negative of 8
i. e. -8
is eaual to 14
then n=14+8
or; n =22
therefore the number is 22.
A car travels 126 miles in 3 hours. At this rate, how many miles can the car travel in 4 hours?
A
168
B
94.5
C
42
D
10.5
Answers
Answer:
A. 168Step-by-step explanation:
[tex]\bold{METHOD\ 1:}\\\\\begin{array}{ccc}126\ mi&-&3h\\\\x\ mi&-&4h\end{array}\qquad\text{cross multiply}\\\\3x=(126)(4)\\3x=504\qquad\text{divide both sides by 3}\\x=168\ mi[/tex]
[tex]\bold{METHOD\ 2:}\\\\126\ mi\ \text{in}\ 3\ h,\ \text{then}\ \dfrac{126\ mi}{3}=42\ mi\ \text{in}\ 1\ h.\\\\\text{If}\ 42\ mi\ \text{in}\ 1\ h,\ \text{then}\ (42\ mi)(4)=168\ mi\ \text{in}\ 4h.[/tex]
A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients. Draw a tape to show how many flavors have chocolate and how many don't?
Answers
Answer:
10
Step-by-step explanation:
A bakery makes 40 different flavors of muffins.
25% of the flavors have chocolate as one of the ingredients.
Convert 25% to fraction:
[tex]25\%=\dfrac{25}{100}=\dfrac{1}{4}[/tex]
So, there are
[tex]40\cdot \dfrac{1}{4}=10[/tex]
muffins which have chocolate as one of the ingredients.
In attached tape diagram:
green - with chocolate
blue - without chocolate
Answer:
10 flavors with chocolate.30 flavors without chocolate.Step-by-step explanation:
The total number of flavors is 40.
25% of the flavors have chocolate.
To find the number of flavors which have chocolate, we just need to multiply 0.25 by 40, because 0.25 represents 25%
[tex]0.25(40)=10[/tex]
So, there are 10 flavors with chocolate.
Now, if 25% represents flavors with chocolate, then 75% represents flavors without chocolate
[tex]0.75(40)=30[/tex]
So, there are 30 flavors without chocolate.
ANSWER THIS AND GET BRAINLIEST AND 30 POINTS
A school basketball team has an expense account and a fundraising account. After t weeks, the balance of the expense account is (400−40t) dollars and the balance of the fundraising account is (150+32t) dollars.
a. Write an expression in simplest form that represents the total amount (in dollars) in both accounts after t weeks.
An expression is ( ) dollars.
b. What is the total amount (in dollars) in both accounts after 12 weeks?
Amount after 12 weeks: $___
Answers
Answer:
After t weeks, the balance in the expense account and fundraising account is
f(t)= 400 -40t +150+32t
f(t)= 550 -8t
After 12 weeks,
f(12) = 550- 8(12) = 454
Answer:
Step-by-step explanation:
After t weeks, the balance in the expense account and fundraising account is
f(t)= 400 -40t +150+32t
f(t)= 550 -8t
After 12 weeks,
f(12) = 550- 8(12) = 454
the area of a rectangle wall of a barn is 320 square feet. it's length is12 feet longer than twice it's width. find the length and width of the wall of the barn.
Answers
Answer:
Length = 32 feet
Width = 10 feet
Step-by-step explanation:
The area of a rectangle = length (L) x width (W)
The relationship between the length and width is that
L = 12 + 2W -------------- (i)
therefore
Area = L x W can be rewritten as (12 + 2W) x W
320 = (12 + 2W) x W
320 = 12W + 2W^2
this can then be turned into a quadratic equation:
2W^2 + 12W - 320 = 0
Divide through by 2
W^2 + 6W - 160 = 0
W^2 - 10W + 16W - 160 = 0
W(W- 10) + 16(W- 10) = 0
(W- 10)(W + 16) = 0
hence W = -16 and 10
since width cannot be a negative value,
Width = 10
hence substituting for width = 10 into equation (i)
L = 12 + 2(10)
L = 12 +20 = 32
-7x+4y=-26
+7x – 4y = -2
Answers
Answer:
Its no Solution
Step-by-step explanation:
If you use elimination both 7x and the 4y will be 0 and you'll get
0=-26 and 0=-2
So
No Solution
sorry for my hand writing
Need help with this math problem
Answers
Answer:
So the value of u is [tex]24[/tex] degree.
Step-by-step explanation:
Given;
Three angle [tex]2u[/tex] , [tex](u+18)[/tex] degree and [tex]90[/tex] degree in a Triangle.
We know;
Addition of three angle in a triangle is equal [tex]180[/tex] degree
[tex]2u+u+18+90=180[/tex]
[tex]3u=180-90-18[/tex]
[tex]3u=72[/tex]
[tex]u=\frac{72}{3}[/tex]
[tex]u=24[/tex]
∴ The value of u is [tex]24[\tex] degree.
..
(3x + 4)(2x - 5)
i don’t know how to use foil
Answers
Answer: 6x^2-9x-20
Step-by-step explanation:
(3x+4)(2x-5)
6x^2-15x+6x-20
6x^2-9x-20
kiaria is 7 years alder tham jay . martha is twice as old as kiaria , the sum of their three ares is 7u , find the ratio of jay,s age to kiatias age to marhas age
Answers
Answer:
The ratio of Jay's age to Kiaria's age to Martha's age is 1: 2 : 4.
Step-by-step explanation:
Here, let us assume the age of jay = u years
So, the age of Kiaria = Age of Jay + 7 = u + 7
And, the age of Martha = 2 x ( age of Kiaria) = 2 ( u + 7)
Now, the sum of the ages = 7 u
⇒ (u) + (u + 7) + 2 ( u + 7) = 7 u
or, u + u + 7 + 2 u + 14 = 7 u
or, 4 u + 21 = 7 u
⇒ 3 u = 21 or u = 21/3 = 7
⇒ u = 7 years
Hence, the age of Jay = m = 7 years
Age of Kiaria = m + 7 = 7 + 7 = 14 years
Age of Martha =2 ( m+7) = 2 ( 7 +7) = 28 years
So, the ratio of Jay's age to Kiaria's age to Martha's age
is 7: 14: 28 = 1: 2 : 4
Hence, the final ratio of the ages is 1: 2 : 4.
The area of a rooftop can be expressed as 9x^2+6x+1. The rooftop is a quadrilateral.
Part A. What type of quadrilateral is the rooftop? Justify your answer.
Part B. If the area of the rooftop is 361 m^2, what is the length of one side of the rooftop?
Answers
Part A: The type of the quadrilateral of the rooftop is a square
Part B: The length of one side of the rooftop is 19 m
Step-by-step explanation:
Let us revise some notes about quadratic expression
(a + b)² = a² + 2ab + b², where a² + 2ab + b² is a perfect square trinomial because it gives square binomial (a + b)²Area of a square can be represented by perfect square trinomial, where the side of the square represented by the binomialThe area of a rooftop can be expressed as 9x² + 6x +1
The rooftop is a quadrilateral
We need to find the type of the quadrilateral and the length of
one side of the rooftop
∵ The area of the rooftop = 9x² + 6x +1
- Check if 9x² + 6x +1 is a perfect trinomial
∵ [tex]\sqrt{9x^{2}}=3x[/tex]
∵ [tex]\sqrt{1}=1[/tex]
∵ [tex](3x)(1)(2)=6x[/tex]
∴ 9x² + 6x +1 = (3x + 1)²
∴ 9x² + 6x +1 is a perfect square trinomial
∵ Perfect square trinomial can represent the area of a square
∴ The quadrilateral is a square
Part A: The type of the quadrilateral of the rooftop is a square
∵ The area of the rooftop is 9x² + 6x +1
∵ 9x² + 6x +1 = (3x + 1)²
∵ Area of the rooftop = 361 m²
∴ (3x + 1)² = 361
- Take square root for both sides
∴ 3x + 1 = 19
∵ The area of a square = (side)²
∵ The area of a square = (3x + 1)²
∴ 3x + 1 is the length of the side of the square
∵ 3x + 1 = 19
∴ The length of the side of the square is 19 m
Part B: The length of one side of the rooftop is 19 m
Learn more:
You can learn more about perfect square trinomial in brainly.com/question/7932185
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Calculate:
(−16)3 ÷ (4−2)−3
Need explanation!
Answers
Answer:
Factor the numerator and denominator and cancel the common factors.
−1
Answer:
it is -1 when all calculated
Step-by-step explanation:
Solve each equation by completing the square
6) m² + 16m – 8 = 0
Answers
Answer:
m = - 8 ± 6[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
m² + 16m - 8 = 0 ( add 8 to both sides )
m² + 16m = 8
To complete the square
add ( half the coefficient of the m- term )² to both sides
m² + 2(8)m + 64 = 8 + 64
(m + 8)² = 72 ( take the square root of both sides )
m + 8 = ± [tex]\sqrt{72}[/tex] = ± [tex]\sqrt{36(2)}[/tex] = ± 6[tex]\sqrt{2}[/tex]
Subtract 8 from both sides
m = - 8 ± 6[tex]\sqrt{2}[/tex]
HELP ME 30 points and Brainliest.
Answers
1.) explains the frog is a unique animal,explains the frog can survive the cold weather, explains that water affects the frog
2,) explains what the frog’s organs are.
3.) explains how the frog adapts to spring
4.) explains where the frog lives
:D your welcome
Mr. Hanson wants to have enough pencils for each student to have 36 pencils at the beginning of the year , a pencil for each week of the school year. If Mr. Hanson has 32 students on his roll this year, How many pencils does he need to purchase?
Answers
Answer:
1152? 36÷32=1152 I think?
Mr. Hanson needs to multiply the number of students (32) by the number of pencils required per student (36) to find out he needs to purchase a total of 1152 pencils for the school year.
Mr. Hanson needs to calculate the total number of pencils required for his class for the entire school year. With 32 students and the need for each student to have 36 pencils, the calculation is straightforward:
Multiply the number of students by the number of pencils each student requires.
32 students imes 36 pencils per student = 1152 pencils.
Therefore, Mr. Hanson needs to purchase 1152 pencils in total.
By having this quantity of pencils, Mr. Hanson ensures that each student has a pencil for each week of the school year, contributing to a well-prepared classroom environment.
Logan and Sarah work at a dry cleaners ironing shirts. Logan can iron 40 shirts per hour, and Sarah can iron 35 shirts per hour. Logan and Sarah worked a combined 13 hours and ironed 490 shirts. Determine the number of hours Logan worked and the number of hours Sarah worked.