Answer:
Ratio in length : width = 16 : 7
Step-by-step explanation:
Length : Width = 64 : 28 .............start simplifying it
= 32 : 14
= 16 : 7
Answer:
All box dimensions are written as length x width x height. For example, 14" x 11" x 4" means 14" (L) x 11" (W) x 4" (H)"
Step-by-step explanation:
Expand and simplify 3(x-3)+5(3x+4)
Answer:
3(x-3)+5(3x+4)
=18x+11
Answer:
18x+11
Step-by-step explanation:
All you have to do is add,subtract, and multiply
what is the probability of of selecting a lemon piece out of 6
Answer:
I'm assuming it's 1 lemon piece among 5 other pieces, if so then 1 out of 6.
Step-by-step explanation:
An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15. 7 inches, so the equation to solve is 2a b = 15. 7. If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options. –2 in. 0 in. 0. 5 in. 2 in. 7. 9 in.
The lengths that make the sense for the value of b are 0.5 inches and 2 inches.
GivenAn isosceles triangle has two sides of equal length, a, and a base, b.
The perimeter of the triangle is 15.7 inches, so the equation to solve is 2a + b = 15.7.
What is the triangle inequality theorem?If two sides of a triangle are unequal, the longer side has a greater angle opposite to it.
[tex]\rm a+a > b\\\\2a > b[/tex]
The equation of the perimeter of the triangle;
[tex]\rm 2a+b = 15.7\\\\2a = 15.7-b\\\\a = \dfrac{15.7-b}{2}[/tex]
1. Substitute b = 0.5 in the equation;
[tex]\rm a = \dfrac{15.7-b}{2}\\\\ a = \dfrac{15.7-0.5}{2} \\\\ a = \dfrac{15.2}{2}\\\\a = 7.6[/tex]
Then,
Verify the triangle inequality theorem;
0.5 + 7.6 > 7.6 is true
7.6 + 7.6 > 0.5 is true
2. Substitute b = 2 in the equation;
[tex]\rm a = \dfrac{15.7-b}{2}\\\\ a = \dfrac{15.7-02}{2} \\\\ a = \dfrac{13.7}{2}\\\\a = 6.85[/tex]
Then,
Verify the triangle inequality theorem;
0.5 + 76.85 > 6.85 is true
6.85 + 6.85 > 2 is true
Hence, the lengths that make the sense for the value of b are 0.5 inches and 2 inches.
To know more about the Triangle inequality theorem click the link given below.
https://brainly.com/question/1026055
Simplify the following expression.
5(-7y + 2x) + 14 + 3x
Answer:
The answer should be -35y + 13x + 14. As you can clearly see, you can't break it down any further than this. That's because y and x are completely different. Plus, 14 isn't part of a variable.
A 12-V battery powers three lightbulbs in a series circuit. The voltage reading is 6 V across the first lightbulb and 3 V across the second lightbulb. What portion of the battery's energy transforms in the third lightbulb?
Please show how you got the answer!
Answer:
[tex]\displaystyle \frac{1}{4}[/tex].
Step-by-step explanation:
The voltage across the three bulbs would add up to [tex]12\; {\rm V}[/tex] since the three bulbs are connected in serial.
The voltage across the third bulb would thus be: [tex]12\; {\rm V} - 6\; {\rm V} - 3\; {\rm V} = 3\; {\rm V}[/tex].
Also because the three bulbs are connected in serial, the current going through each of them be the same as the size of the current of the whole circuit. Let [tex]I\; {\rm A}[/tex] be the size of that current.
The power supplied by the battery would be [tex]P = V \, I = 12\; {\rm V} \, (I\; {\rm A}) = (12\, I)\; {\rm W}[/tex].The power of the third bulb would be [tex]P = V\, I = 3\; {\rm V} \, (I\; {\rm A}) = (3\, I)\; {\rm W}[/tex].Thus, the portion of the power consumed by the third bulb would be [tex](3\, I) / (12\, I) = 1/4[/tex].
One factor of f (x ) = 5 x cubed 5 x squared minus 170 x 280 is (x 7). What are all the roots of the function? Use the Remainder Theorem. X = –4, x = –2, or x = 7 x = –7, x = 2, or x = 4 x = –7, x = 5, or x = 280 x = –280, x = –5, or x = 7.
To solve the problem we must know about the Remainder Theorem.
What is the Remainder theorem?According to the remainder theorem, when a polynomial P(x) is divided by (x-t) then the remainder of the division is equal to P(t). If P(t)=0, then the (x-t) is the factor of the polynomial.
The roots of the function are -7, 2, and 4.
Given to us
One factor of f (x) = [tex]5x^3+5x^2-170x+280[/tex] is (x +7).What is the quotient of the function?We know (x+7) is the factor of the function, f(x) = [tex]5x^3+5x^2-170x+280[/tex],
therefore,
[tex]f(x) =5x^3+5x^2-170x+280 = [(x+7) \times quotient] + Remainder[/tex]
As (x-2) is the factor of the function, therefore, the remainder will be zero for the equation,
[tex]\rm quotient=\dfrac{5x^3+5x^2-170x+280}{(x+7)}[/tex]
[tex]\rm quotient=5x^2-30x+40[/tex]
What are the factors of the function?Solving the quadratic equation,
[tex]5x^2-30x+40\\\text{Dividing the equation by 5}\\\\=x^2-6x+8\\=(x-2)(x-4)[/tex]
Hence, the roots of the function are -7, 2, and 4.
Learn more about Remainder theorem:
https://brainly.com/question/4515216
Answer:
its b
Step-by-step explanation:
1 + tan² theta- tan theta.
Answer this and I promise you brainliest. Note, giving a wrong or unnecessary answer means you will get reported.
The value of theta does not exist since P will give a complex number
Trigonometry identityGiven the trigonometry identity expressed as:
1 + tan² theta- tan theta.Let tan theta = P, the equation will become:
1 + P² - P = 0
Factorize
P² - P + 1 = 0
[tex]P = \frac{1\pm\sqrt{1-4} }{2} \\P = \frac{1\pm\sqrt{-3} }{2} \\\\[/tex]
Note that the value of theta does not exist since P will give a complex number
Learn more on trigonometry here:https://brainly.com/question/24236629
What is the slope and y-intercept of this line?
y = -3x+ 9
O
slope: 3, y-intercept: -9
O
slope: -3, y-intercept: 9
O
Helpppp pleasee
You can use the recursion xn=(xn-1+10/xn-1)/3
the process of iteration to estimate the value of
V10 without using a calculator. What is the value
of the 2nd iterate if x0 = 3.1? Carry out your
answers to the 5th decimal place.
Using the recursion equation, it is found that the value of the 2nd iterate is:
[tex]x_2 = 3.16228[/tex]
What is the recursive equation?The value of the nth iteration is given by:
[tex]x_n = \frac{x_{n-1} + \frac{10}{x_{n-1}}}{2}[/tex]
The initial estimate is:
[tex]x_0 = 3.1[/tex]
Hence, the 1st iterate is given by:
[tex]x_1 = \frac{x_0 + \frac{10}{x_0}}{2} = \frac{3.1 + \frac{10}{3.1}}{2} = 3.1629[/tex]
The 2nd iterate is:
[tex]x_2 = \frac{x_1 + \frac{10}{x_1}}{2} = \frac{3.1629 + \frac{10}{3.1629}}{2} = 3.16228[/tex]
Thus, the fourth option is correct.
You can learn more about recursive equations at https://brainly.com/question/6561461
A new car costs $23,649. The dealer
has an end-of-the-year sale, and the
car will be priced at $22,399. How
much money can a customer save by
purchasing the car on sale?
Answer:
$1250
Step-by-step explanation:
subtract $22399 from $23649 which is $1250
two books have a total of 500 pages one book has 350 pages more than the other.Find the number of pages of each book.
Answer:
150+350
the other book has 150
write anAlgebraic expression-
1. a box has c blue pen stick, d red pen stick and e black pen stick find the number of pens in the box
Answer:
headboard ud. He. I’d Vic if joe
Step-by-step explanation:
Megan buys 2 new shirts for $16 each, crocs for $34, and a hat for $13. She bought the new clothes with a discount code of 15% off. How much did everything cost Lilah if there was also a 5% sales tax? (Round to the nearest hundredth)
Answer:
2 shirts - 16$ each
i.e. 32$
1 crocs pair - 34$
A hat - 13$
so the total she spent was,
16+16+34+13 = 79$
Now, if she is using 15% off in the total amount that will cost her => $11.85 !
since she is paying 5% sales tax so the final she paid is:
$12.44/
The class president wants to survey the students at the high school about the selection of food offered by the school cafeteria. The president knows that there are 150 boys and 175 girls in the high school. Which of the following is a representative sample of the high school population?
A
Sample 1: 10 boys and 10 girls
B
Sample 2: 10 boys and 35 girls
C
Sample 3: 6 boys and 7 girls
D
Sample 4: 7 boys and 6 girls
Answer:
C . Sample : 6 boy and 7 girls
Step-by-step explanation:
Data :
Boys = 150
Girls = 175
So ratio between boys and girls
175/150 = 1.67
So when boy is 6
6 ×1.667 = 7
A recipe for crumb cake says to mix 38 cup of brown sugar and 13 cup of white sugar.
From this sugar mixture, set aside 14 cup for the crumb topping.
The remaining sugar mixture is used to make the cake.
What amount of the sugar mixture is used to make the cake?
A. 1124 cup
B. 12 cup
C. 712 cup
D. 1724 cup
Draw a line representing the rise And a line representing the run of the mind state is slope of the line in simplest form
Answer:
The slope is (1/5)
Step-by-step explanation:
See attached
model with mathematics. A bus can hold no more than 86 students. Write an inequality to describe the situation. - Graph the inequality
Answer:
x less than or equal to 86
Step-by-step explanation:
this is because x represents the number of people since the bus cant hold anymore than 86 you can only have 86 or less people on the bus
nathan ordered one cheeseburger and one bag of chips for $3.75. jack ordered two cheeseburgers and three bags of chips for $8.25
Answer:
Cost of a bag of chips is $0.75
Cost of a cheeseburger is $3.
Step-by-step explanation:
[Step 1] Let the cost of a cheeseburger be x.
[Step 2] Let the cost of a bag of chips be y
[Step 3] As it is given that x + y = 3.75
[Step 4] It is also given that 2x + 3y = 8.25
[Step 5] Multiplying the equation in [Step 3] by 2 and we get 2x + 2y = 7.50
[Step 6] Subtracting the equation in [Step 5] from the equation in [Step 4] we get y = $0.75
[Step 7] Therefore the cost of a bag of chips is $0.75
[Step 8] Substituting the value of y found in [Step 7] into [Step 8] we get x = 3.
[Step 9] Therefore the cost of a cheeseburger is $3.
Check Answer:
Chip = 0.75
Cheeseburger = 3.00
Nathan Ordered one cheeseburger and one bag of chips for $3.75.
3.00 + 0.75 = $3.75
Hence, Chip = 0.75 and Cheeseburger = 3.00 is correct.
------------------------------------------------------------------------------------------------------
Chip = 0.75
Cheeseburger = 3.00
Jack Ordered two cheeseburger and three bags of chips for $8.25.
2 Cheeseburger = 3.00x2 = 6.00
3 bags of chips = 0.75x3= 2.25
6.00+2.25=$8.25
Hence, Chip = 0.75 and Cheeseburger = 3.00 is correct.
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $2
kid's meal for his little brother. Charlie has $32. How much can he spend on
each sandwich if they are all the same price?
Choose two answers: one for the inequality that models this situation and
one for the correct answer.
A. Inequality: 2x + 6 s 32
B. Answer: $13 or less
n C. Answer: $5 or less
D D. Inequality: 2x + 6 < 32
E. Inequality: 6x + 2232
-
F. Inequality: 6x + 2 5 32
PLEASE HELP
2 + 6x ≤ 32
6x ≤ 30
x ≤ 5
C and F are your answers
Are the following triangles Similar? State why or why not. *
Answer:
the answer is 56
Step-by-step explanation:
because i siad so
HALPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
diving by -1/8
Use the keep it, change it, flip it approach
Khan work...........
[tex]\huge\text{Answer:}[/tex]
[tex]\huge\mathrm{k=-40} \checkmark[/tex]
[tex]\huge\text{Solution:}[/tex]
28 is 12 less than k.
28=12-k
How to Solve:
Steps
[tex]\bigstar[/tex] Move -k to the left:
k+28=-12
[tex]\bigstar[/tex] Move 28 to the right:
k=-12-28
[tex]\bigstar[/tex] Solve.
k=-40
Hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bold{-MistySparkles^**^*}[/tex]
1) You want to put up a basketball hoop in your backyard, Regulation height for the basketball hoop is 10 feet
or 120 inches. After a couple of attempts at guessing the correct height and checking, you decide to use
shadows to estimate the height. You are 68 inches tall, and your shadow is 62 inches long. You are
standing 41 inches from the pole and the tip of your shadow coincides with the tip of the basketball hoop's
shadow as shown in the diagram below. To the nearest foot, what is the height of the basketball hoop?
SRT.1.2 (6 points)
By using the known relations for similar triangles, we will see that the height of the basketball hoop is H = 113 ft.
How to find the height of the basketball hoop?
In this situation, you and your shadow make a similar triangle to the one that makes the basketball hoop and its shadow.
This would mean that the quotients between the sides must be the same, so:
The quotient between your height and your shadow's length must be the same as the quotient between the hoop's height and its shadow's length.
Your height is 68 inYour shadow is 62 in long.You are at 41 in from the pole, and your shadow coincides with the shadow of the pole, so the length of the pole's shadow is:
41in + 62in = 103 in
And we define H as the height of the basketball hoop.
So we have that:
H/103in = 68in/62in
H = (68in/62in)*103in = 112.97 in
Rounding to the nearest foot, the height is 113ft.
If you want to learn more about triangles, you can read:
https://brainly.com/question/14285697
Answer: The actual answer is 120 inches have a nice day (:
Step-by-step explanation:
geometry study guide help!
Answer:
i think that they might be a or b i leaning towards A i think A is your best option
Step-by-step explanation:
hope this will help
Can someone please determine this for me
first 6,000 digits of pi
Answer: the first 6000 digits of pi are 3.1415926535 8979323846 2643383279
Step-by-step explanation:
simplify 2(x +2) - x +3 (-x -2) -(2x +4)
Answer:
-4x - 6
Step-by-step explanation:
2(x + 2) = 2x + 4
3(-x - 2) = - 3x- 6
-(2x + 4) = -2x - 4
Add these binomials together
2x - 3x - 2x = -3x
4 - 6 - 4 = - 6
Result
-3x - 6
Now to this result we must subtract an x
-3x - x - 6 = - 4x - 6
Answer:
[tex]\boxed{\tt -4x-6}[/tex]
Step-by-step explanation:
[tex]\tt 2(x +2) - x +3 (-x -2) -(2x +4)[/tex]
First, apply the (Distributive property):-
[tex]\boxed{\tt -\left(a+b\right)=-a-b}[/tex]
[tex]\tt 2\left(x+2\right)-x+3\left(-x-2\right)-2x-4[/tex]
Expand, (Apply Distributive property):-
[tex]\tt 2\left(x+2\right)= \underline{\tt 2x+4}[/tex]
[tex]\tt 3\left(-x-2\right)=\underline{\tt -3x-6}[/tex]
[tex]\tt 2x+4-3x-6-3x-4[/tex]
Combine like terms:-
[tex]\tt (2x-3x-3x)+(4-6-4)[/tex]
[tex]\tt (2x-3x-3x)=\underline{\bold{ -4x}}[/tex]
[tex]\tt (4-6-4)=\underline{\bold{ -6}}[/tex]
[tex]\tt -4x-6[/tex]
____________________
[tex]c.p = rs.750 \: profit = 50[/tex]
find s.p from this case
Answer:
SP=Rs 800
Step-by-step explanation:
→As we have,
→Profit=SP-CP
Now,
[tex]Profit=SP-CP\\Rs50=SP-Rs750\\Rs50+Rs750=SP\\SP=Rs800[/tex]
HELP ME NOW PLS NOWWWWWW
First we identify the percent's as decimals
1%=0.01 64%=0.64
Then we multiply our decimals by 300
0.01 x 300 = 3 0.64 x 300 = 192
If you notice, 64 x 3 is equal to 192
64 x 3 = 192
So the answers are 3 and 192
(Hope this helps!)
Which points are the vertices of the ellipse?
points G and H
points J and K
points L and N
points M and N
Answer:
C (L and N)
Step-by-step explanation:
Edg 22
Answer:
points G and H
Step-by-step explanation:
Got it right and in my notes I have the graph labeled with the vertices being on the far left and right sides of the ellipse on the line with the center point if that makes sense lol
