Answer:
[tex]\frac{13}{3}[/tex] ÷ [tex](-\frac{5}{6})[/tex]
Step-by-step explanation:
[tex]4\frac{1}{3}/(-\frac{5}{6})=\\\\\frac{13}{3}/(-\frac{5}{6})[/tex]
A triangle has sides 45, 4x and 2x−4. What is the possible range of x?
x>2
The greatest possible value cannot be stated as it is not mentioned whether it is a right angled triangle, which is hypotenuse, or which is the smallest/largest side.
Answer:
49/6 < x < 41/2.
Step-by-step explanation:
In any triangle, each side is shorter than the sum of two other sides.
It gives three independent inequality
45 < 4x + (2x-4), (1)
4x < 45 + (2x-4), (2)
2x-4 < 45 + 4x. (3)
From (1), 6x > 45 + 4 = 49 ---> x > 49/6
From (2), 2x < 45 - 4 = 41 ---> x < 4/2
From (3), 2x > -4 - 45 = -49 ---> x > -49/2
(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)
Answer: a = 0.3
Step-by-step explanation:
First, distribute(-1)
5.3a-0.8-1.6+4.7a=2a-(a-0.3)
Then, distribute(-1)
5.3a-0.8-1.6+4.7a=2a-a+0.3
Then, combine like terms
10a-2.4=a+0.3
Then, add(2.4)
10a=a+2.7
Then, subtract(a)
9a=2.7
Then, divide(9)
a = 0.3
Hope it helps <3
Answer:
a = 0.3.
Step-by-step explanation:
(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)
5.3a − 0.8 − 1.6 + 4.7a = 2a − a + 0.3
5.3a + 4.7a - 2a + a = 0.3 + 0.8 + 1.6
9a = 2.7
a = 0.3.
Joshua is going to mow lawns during his summer break. The graph in the figure shows a linear relationship between the number of weeks he will be
mowing and the number of lawns he will mow. If he earns $25 for each lawn he mows, how much money will he earn after mowing lawns 5 weeks?
A. $125
B. $750
C. $1,500
D. $3,000
Answer:
$1,500
Step-by-step explanation:
We see on the graph that he mows 60 lawns in 5 weeks so if we multiply 60 by 25 because 25 is the amount of money he makes for each lawn he mows, we get 1,500 dollars.
please mark me brainliest!
What is the value of n in the equation below?
StartFraction 12 Superscript n Over 12 Superscript 5 EndFraction = 12 Superscript 4
Answer:
9 is the answer happy to help
Answer:
12
Step-by-step explanation:
Edge
if -5 is a root of the quadratic equation 2x2+px-15=0 and the quadratic equation p(x^2+x)+k=0 has equal roots. find the value of k
Answer:
[tex]$k=\frac{7}{4} $[/tex]
Step-by-step explanation:
[tex]2x^2+px-15=0[/tex]
Once [tex]x=-5[/tex]
[tex]2(-5)^2+p(-5)-15=0[/tex]
[tex]2(25)-5p-15=0[/tex]
[tex]50-5p-15=0[/tex]
[tex]35-5p=0[/tex]
[tex]p=7[/tex]
Quadratic Equation:
[tex]2x^2+7x-15=0[/tex]
[tex]p(x^2+x)+k=0 \Rightarrow 7(x^2+x)+k=0 \Rightarrow 7x^2+7x+k=0[/tex]
[tex]\Delta=b^2-4ac[/tex]
[tex]\Delta=7^2-4(7)k[/tex]
[tex]\Delta=49-28k[/tex]
The quadratic equation having two equal roots means that the discriminant is equal to zero.
[tex]0=49-28k[/tex]
[tex]-49=-28k[/tex]
[tex]$k=\frac{49}{28} $[/tex]
[tex]$k=\frac{7}{4} $[/tex]
Hey guys help me solve for x!!!
Answer:
X=10solution,
In a parallelogram, diagonal bisects angle into two equal parts. So,
<TVU=<TVW
or, 5x=50
or, X=50/5
X=10
Hope this helps..
Good luck on your assignment.
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
WVT angle = UTV angle (alternative angles)
* sum of the interior angles in a triangle =180° In UVT triangle,[tex]80 + 5x + 50 =1 80 \\ 130 + 5x = 180 \\ 5 x = 180 - 130 \\ 5x = 50 \\ \frac{5x}{5} = \frac{50}{5} \\ x = 10[/tex]
(-4,0)slope=1/2 write equation of the line
Answer:
Y = 1/2x+2
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
We know the slope
y = 1/2x +b
Substitute the point into the equation
0 = 1/2 (-4) +b
0 = -2+b
b=2
Y = 1/2x+2
Which division expression is equivalent
Answer:
Step-by-step explanation:
the division expression equivalent to 4 1/3 / (-5/6) is
13/3 / (-5/6)
The solution is A
4 1/3 is 13/3
4x3= 12 + 1 = 13 which is 13/3
Mary took out a loan to buy a $30,000 boat but had $2,000 cash to put down. Which of the following is true?
a. Mary decreased both assets and liabilities.
b. Mary increased both assets and liabilities.
C. Mary decreased assets and increased liabilities.
d. Mary increased assets and decreased liabilities.
Please select the best answer from the choices provided
A
B
С
D
2. Which situation does have a final value of 0?
A. A jet rose to a height of 1000 feet above the ground. It then descended to a height of 100 feet.
B. The temperature at 1:00 p.m. was 10°F. It dropped another 10° over 4 hours.
C. Pace deposits $10 in his account and then withdrew $10.
D. Keith gained 8 yards during the first quarter of the football game and then lost 8 yards during the second quarter.
BTW ITS #2 not #3 :)
Answer:
The answer is d i think
Step-by-step explanation:
Hess Company's inventory records show the following data for the month of September: Units Unit Cost Inventory, September 1 100 $3.00 Purchases: September 8 450 3.50 September 18 300 3.70 A physical inventory on September 30 shows 150 units on hand. Calculate the value of ending inventory and cost of goods sold if the company uses LIFO inventory costing and a periodic inventory system.
Answer:
Yes
Step-by-step explanation:
A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? a. 1/6 b. 1/12 c. 2/3 d. 1/4
Answer:
1/12
Step-by-step explanation:
P( coin = heads) = number of heads / total = 1/2
P( cube = 5) = number of 5's / total =1/6
P( heads, 5) =1/2 * 1/6 = 1/12
The coin toss and the number cube roll are independent events.
This is because the result of the coin toss does
not affect the result of the number cube roll.
To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.
Since there is only one way to get heads when tossing a coin and there are 2 possible outcomes, tossing a heads or tails, the probability of getting heads is 1/2.
Since there is only one way to roll 5 on a number cube, there
is 1 favorable outcome but six possible outcomes.
So the probability of rolling a 5 is 1/6.
Now multiply.
So we have 1/2 · 1/6 which is 1/12.
Tom and Jerry are selling fruit for a charity fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Tom sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Jerry sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges. Please use equations to solve the problem.
Step-by-step explanation:
3x + 14y = 203
2. 11x + 11y = 220
3. Divide the last equation above by 11: x + y = 20
4. This is the same as saying x = 20 - y
5. Now, substitute for x in the first equation: 3(20 - y) + 14y = 203
6. The above equation simplifies to 60 - 3y + 14y = 203
7. Now express the equation in terms of y: 11y = 143
8. From the last equation, y = 13
9. Since x + y = 20, x = 7
10. Check: (3 times 7) + (14 times 13) = 21 + 182 = 203;
(11 times 7) + (11 times 13) = 77 + 143 = 220
One small box of oranges costs is $[tex]7[/tex].
One Large box of oranges costs is $[tex]13[/tex].
Cost Price:
Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a given service. A cost price includes all outlays that are required for production, including property costs, materials, power, research and development, testing, worker wages, and anything else that must be paid for.
Tom sold 3 small boxes and 14 large boxes of orange for a total of $[tex]203[/tex]
[tex]\Rightarrow 3S+14L=203......(1)[/tex]
Jerry sold [tex]11[/tex] small boxes and [tex]11[/tex] large boxes of oranges for a total of $[tex]220[/tex]
[tex]\Rightarrow 11S+11L=220.....\left ( 2 \right )[/tex]
Solving equations (1) and (2), we get;
[tex]L=\frac{1573}{121}=13 \\ L=13[/tex]
Substitute [tex]L=13[/tex] in equation (2)
[tex]\Rightarrow 11S+11(13)=220[/tex]
[tex]S=\frac{77}{11}=7[/tex]
[tex]\therefore[/tex] One small box of oranges costs is $[tex]7[/tex].
One Large box of oranges costs is $[tex]13[/tex].
Learn more about Cost Price: https://brainly.com/question/12252562
PLEASE HELP For a particular transformer, the voltage E in the circuits is related to the number of windings W of wire around the core by the equation E=40W. How many windings will produce a voltage of 760 V? A voltage of 760 V will be produced by ? windings.
Answer:
A voltage of 760V will be produced by 19 windings.
Step-by-step explanation:
Given the equation:
E = 40W
Where E is the Voltage in the circuits
and W is the number of windings
Given that E = 760V
To find: W = ?
Solution: Here, we have the given equation in 2 variables where value of 1 variable is given so other can be easily calculated by putting the value of given variable in the equation.
So, Putting the value of E in the given formula and finding W, the number of windings:
[tex]760=40 \times W\\\Rightarrow W = \dfrac{760}{40}\\\Rightarrow W = \dfrac{76}{4}\\\Rightarrow W = 19[/tex]
So, number of windings for a voltage E = 760V is 19.
A voltage of 760V will be produced by 19 windings.
Scarlett made 36 muffins on Tuesday, and 20 of the muffins were blueberry. What is the ratio of blueberry muffins to all muffins?
Answer:I belive it is 56 I may be wrong but it iz what it iz
Step-by-step explanation:
Answer:
20 blueberry muffins: 36 muffins
if you want simplest form, then 5 blueberry muffins: 9 muffins
Step-by-step explanation:
Simplest form=
blueberry muffins= 20/4=5 blueberry muffins
muffins= 36/4=9 muffins
5 blueberry muffins: 9 muffins
-5/7 times 1/5 please help solve
Answer:
-1/7
Step-by-step explanation:
-5/7 × 1/5
Multiply numerator with numerator and denominator with denominator.
-5/35
Simplify.
-1/7
Answer:
Brainliest1
Step-by-step explanation:
-5/7 x 1/5 = -5/35 = -1/7
Ama's age is two thirds that of her elder sister. Four years ago ama's age was half the sister's. How old is the sister?
Answer:
12
Step-by-step explanation:
Ama's sister is 12 now and Ama is 8. 8/12 simplified is 2/3.
Four years ago Ama's would have been 4 and her sister would have been 8. 4/8 simplified is 1/2.
The equations:
(Ama is a)
(Ama's sister is s)
a = (2/3)s
a - 4 = (1/2)(s - 4)
Step one:
You would substitute the first equation into the second equation to get
(2/3)s - 4 = (1/2)(s - 4)
Step two:
Multiply by 6 to get rid of the fractions to get
4s - 24 = 3(s - 4)
Step three:
Simplify to get
4s - 24 = 3s - 12
Step four:
Subtract 3s and add 24 to get
s = 12
Step five:
Input the s value into the first equation to get
a = (2/3)(12) = 8
If this helped please rate, thanks, and mark brainliest! Also, please comment if it's correct :)
Step-by-step explanation:
let ama's age be x
and ama's sister be y
according to question
3x=2y --------(1)
x-4=(y-4)/2 ---------(2)
after solving equation (1) and (2)
we get ama's age is 8 years and AMA'S SISTER AGE IS 12 years
Use addition to solve the linear system of equations. Include all of your work in your final answer. x-y=6 y=x-4
Answer:
no solutions
Step-by-step explanation:
x-y=6
y=x-4
Subtract x from each side
-x+y = x-4-x
-x+y = -4
Add this to the first equation
x-y=6
-x+y = -4
---------------
0x + 0y = 2
0=2
This is never true so there are no solutions
Answer:
No solutions.
Step-by-step explanation:
x - y = 6
y = x - 4
Solve for x in the first equation.
x = 6 + y
Put x as 6 + y in the second equation and solve.
y = (6 + y) - 4
y - y = 6 - 4
0 = -2
There are no solutions.
Michaela has three times as many folders as Alejandro. Michaela gives Alejandro 5 folders, but still has 8 more than Alejandro. How many folders did Michaela have originally? A) 9 B) 12 C) 22 D) 27
Answer:
there were 22 folders originally
Michaela originally has 27 folders. Hence option D) is correct.
Michaela has three times as many folders as Alejandro.
Michaela gives Alejandro 5 folders, but still has 8 more than Alejandro.
In mathematics it deals with numbers of operations according to the statements.
Now, let Alejandro has x folders corresponding Michaela has 3x folders
According to the condition
3x-5 = x+5+8
2x = 18
x = 9
now
Michaela = 3x
= 3 x 9
= 27
Thus, Michaela originally has 27 folders.
Learn more about arithmetic here:
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linear inequality: solve -4x+2
Answer:
x≤-6
Step-by-step explanation:
-4x+2≥ 26
Subtract 2 from each side
-4x+2-2 ≥ 26 -2
-4x ≥ 24
Divide by -4 remembering to flip the inequality
-4x/-4 ≤-24/-4
x≤-6
Answer:
B. x ≤ -6
Step-by-step explanation:
-4x + 2 ≥ 26
Subtract 2 on both sides.
-4x ≥ 26 - 2
-4x ≥ 24
Divide -4 on both sides.
x ≤ 24/-4
x ≤ -6
Juan did a survey in four butterfly parks and wrote the following observations: Butterfly Park Survey Park Number of Pink Butterflies Total Number of Butterflies P 25 53 Q 35 64 R 37 75 S 23 55 Based on the survey, which park had the greatest percentage of pink butterflies? Park P Park Q Park R Park S
Answer:
Park Q has greatest percentage of pink butterflies.
Step-by-step explanation:
Butterfly Park Survey Park P Q R S
No, of Pink Butterflies 25 35 37 23
Total Number of Butterflies 53 64 75 55
Now we are supposed to find which park had the greatest percentage of pink butterflies
So, Percentage of pink butterflies in park P =[tex]\frac{25}{53} \times 100=47.169\%[/tex]
Percentage of pink butterflies in park Q =[tex]\frac{35}{64} \times 100=54.68\%[/tex]
Percentage of pink butterflies in park R= [tex]\frac{37}{75} \times 100=49.33\%[/tex]
Percentage of pink butterflies in park S= [tex]\frac{23}{55} \times 100=41.81\%[/tex]
So, Park Q has greatest percentage of pink butterflies.
So, Option B is true
Hence Park Q has greatest percentage of pink butterflies.
Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t Write r as a percent. Q = 1750 (1.593) Superscript t a. a = 1750 b = 1.593 r = 0.593% c. a = 2787.75 b = 2.5376 r = 0.593% b. a = 1750 b = 1.593 r = 59.3% d. a = 2787.75 b = 1.593 r = 59.3%
Answer:
Option b.
Step-by-step explanation:
If the starting value a, the growth factor b, and the growth rate r, then
[tex]Q=ab^t=a(1+r)^t[/tex] ...(1)
It is given that
[tex]Q=1750(1.593)^t[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a=1750, b=1.593[/tex]
Now, equation (2) can be rewritten as
[tex]Q=1750(1+0.593)^t[/tex] ...(3)
On comparing (1) and (2), we get
[tex]r=0.593[/tex]
[tex]r=(0.593\times 100)\%[/tex]
[tex]r=59.3\%[/tex]
Therefore, the correct option is b.
Which of the following best describes the slope of the line below? A. Zero B. Negative C. Undefined D. Positive
Answer:
C. Undefined
Step-by-step explanation:
Any vertical line is going to have an undefined slope. Plug in any two points from that line, and the formula will give you an undefined number.
Hope this helps!
59. A car dealership has SUVs and sedans in a ratio of
5:9. How many sedans does the car dealership
have if there are 140 SUVs?
Answer:
The car dealership has 252 sedans.
Step-by-step explanation:
Number of SUVs = 140
Ratio of SUVs to sedans = 5:9
Sum of ratios = 5+9 = 14
Total number of cars = 14/5 × 140 = 392
Number of sedans = 9/14 × 392 = 252
is question 5 right? ignore number 6 i couldn’t crop it out of the picture but please help! i’ll give brainliest :)
Answer:
-47 > 1 - 8x > -63
-48 > -8x > -64 (subtract 1 from -47 and -63)
6 < x < 8 (divide inequality by -8; when you multiply/divide by a negative number you need to flip the sign)
Answer:
its wrong because when u moved the 8 to other side it would be positive. And u didnt switch sign for the 6
Step-by-step explanation:
-47 > 1-8x > -63
Seperate them into two inequalities
-47> 1-8x
Move 1 to the other side it will become -1
-47-1>-8x
-48>-8x
Divide -8 on both sides which will make the sign opposite because dividing with a negative number
6<x
1-8x>-63
Subtract 1 on both sides
-8x>-64
Divide -8 on both sides which will switch sign
x<8
Diego paid $47 for 3 tickets to a concert. Andre paid $141 for 9 tickets to a concert. Did they pay at the same rate?
Answer:
They did pay at the same rate
Step-by-step explanation:
when dividing 47 by 3 you get 15.666... and when dividing 141 by 9 you also get 15.666... using this you can deduce that it is the same rate.
Answer:
Yes
Step-by-step explanation:
We can use ratios for this:
Diego:
47:3 tickets
Divide both sides by 3 so you get the price of one ticket
15.67: 1 ticket
Andre:
141: 9 tickets
Divide both sides by 9 so you get the price of one ticket
15.67: 1 ticket
Calculate the length of the unknown side of this right-angled triangle.
9 cm
17 cm
Answer:
14.4 cm
Step-by-step explanation:
Answer:
4√13
Step-by-step explanation:
Let's call the missing side length x
The given is a right triangle and in right triangle the square
length of hypotenuse is equal to square sum of other two side lengths
17^2 = 9^2 + x^2
289 = 81 + x^2 subtract 81 from both sides
208 = x^2
4√13 = x
In △ABC, AD is the angle bisector of ∠A and BE is the angle bisector of ∠B. If AD intersects BE at point O, find m∠AOB given the following: b m∠A = 125°, m∠B = 33° quick I will give brainliest, need in 5 minutes!
Answer:
∠AOB = 101°
Step-by-step explanation:
Given:
AD is the angle bisector of ∠A
BE is the angle bisector of ∠B.
∠A = 125°
∠B = 33°
Find:
∠AOB
Computation:
∠BAO = 125° / 2 = 62.5°
∠ABO = 33°/2 = 16.5°
So,
∠AOB + ∠BAO + ∠ABO = 180°
∠AOB + 62.5° + 16.5° = 180°
∠AOB = 101°
21.
6
Which ratio can form a proportion with 6/9
12/8
8/12
10/12
8/13
Step-by-step explanation:
6/9 divide top and bottom by 3 to get 2/3
Now reduce each of the fractions to the lowest terms, and look for one that gives 2/3.
12/8 = 3/2 (divide by 4 top and bottom)
8/12 = 2/3 (divide by 4 top and bottom) This is a solution
10/12 = 5/6 (divide by 2 top and bottom)
8/13 (cannot be reduced)
Therefore the second fraction (8/12) forms a proportion with 6/9.
Answer:
8/12
Step-by-step explanation:
divide through by 2 6/9 = 2/3
also,
divide through by 4
8/12 = 2/3
6/9 = 8/12
What numbers do you need to determine the surface area of a right cone? ANSWERS: The radius of the base, r, and the altitude h. The altitude h and the slant height s. The radius of the base, r, and the slant height s. You must have all three numbers r, s, and h.
Answer:
The Radius of the base, r, and the altitude h
Step-by-step explanation:
Surface area of a right cone
[tex]a=\pi r\sqrt{h^{2}+r^{2} }[/tex]
R= Radius
H=Radius
Answer:
The radius of the base, r, and the slant height s.
Step-by-step explanation:
pf