Answer:
Ahmed needs 225g of flour to make 12 pancakes.
Step-by-step explanation:
With the information provided, you know that the recipe uses 150g of flour for 8 pancakes and you can use a rule of three to find the amount of flour needed to make 12 pancakes:
150g → 8 pancakes
x ← 12 pancakes
x=(150*12)/8= 225g
According to this, the answer is that Ahmed needs 225g of flour to make 12 pancakes.
[tex] {x}^{4} - 6 {x}^{3} + 22 {x}^{2} - 48x + 40[/tex]
find the zeros
Answer:
x = 2, 1 + 3i, 1 − 3i
Step-by-step explanation:
Find the Roots (Zeros)
x^4 − 6x^3 + 22x^2 − 48x + 40
Set x^4 − 6x^3 + 22x^2 − 48x + 40 equal to 0. x^4 − 6x^3 + 22x^2 − 48x + 40 = 0
Solve for x.
Factor the left side of the equation.
Factor x^4 − 6x^3 + 22x^2 − 48x + 40 using the rational roots test.
(x − 2) (x^3 − 4x^2 + 14x − 20) = 0
Factor x^3 − 4x^2 + 14x − 20 using the rational roots test.
(x − 2) (x − 2) (x2 − 2x + 10) = 0
Combine like factors.
(x − 2)2 (x^2 − 2x + 10) = 0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
(x − 2)^2 = 0
x^2 − 2x + 10 = 0
Set (x − 2)^2 equal to 0 and solve for x.
Set (x − 2)^2 equal to 0.
(x − 2)^2 = 0
Solve (x − 2)^2 = 0 for x.
x = 2
Set x^2 − 2x + 10 equal to 0 and solve for x.
Set x^2 − 2x + 10 equal to 0. x^2 − 2x + 10 = 0
Solve x^2 − 2x + 10 = 0 for x.
Use the quadratic formula to find the solutions.
−b ± (√b^2 − 4 (ac) )/2a
Substitute the values a = 1, b = −2, and c = 10 into the quadratic formula and solve for x.
2 ± (√(−2)^2 − 4 ⋅ (1 ⋅ 10))/2 ⋅ 1
Simplify.
Simplify the numerator.
x = 2 ± 6i/ 2.1
Multiply 2 by 1
x = 2 ± 6i/2⋅1
Simplify
2 ± 6i/2
x = 1 ± 3i
The final answer is the combination of both solutions.
x = 1 + 3i, 1 − 3i
The final solution is all the values that make (x − 2)2 (x2 − 2x + 10) = 0 true.
x = 2, 1 + 3i, 1 − 3i
Round $24.76 to the nearest $10.00.
A. $20.00
B. $24.00
C. $25.00
D. $30.00
Answer:
20.00
Step-by-step explanation:
a because 4 and under would round to 0
Answer:
A
Step-by-step explanation:
24.76 would round down to the nearest $10
Since it is not 25, 30 would not be the right answer so that leaves 20 as the correct answer.
How do I do this? Anyone know
Answer:
62 degrees
Step-by-step explanation:
Every triangle adds up to 180 degrees.
Since you already know two angles, you subtract them from 180 to find the final angle.
180-68.5-49.5=62
Answer:
x=62
Step-by-step explanation:
the sum of the angles of a triangle is always 180 degrees.
so x + 68,5 + 40,5 = 180°
=> x = 180 - (68,5 + 40,5)
=> x = 62
What is the slope of the line that passes through the points ( -9, -8 ) and ( -15, - 16 ) In simplest form please
Answer:
4/3
Step-by-step explanation:
The slope formula is y2-y1/x2-x1
take the y from one of the points and subtract the y from the other point, the divide that by the x of the first y you picked and subtract the x of the second y
(-16)-(-8)/(-15)-(-9)
-8/-6
simplify
4/3
the slope is 4/3
Can someone PLZ HELP ME ON THIS!
1. One number added to three times another number is 24. Five times the first num
three times the other number is 36. Find the numbers.
Answer:
Let x equal the one number.
Let y equal the other number.
x + 3y = 24
5x +3y = 36
Subtract the first equation from the second equation.
4x = 12
x = 3
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Jamal hiked on two trails. The first trail was 8 1 3 miles long, and the second trail was 1 3 5 times as long as the first trail. How many miles did Jamal hike? Enter your answer as a mixed number in simplest form.
Answer:Total distance( miles ) covered by Jamal =21 2/3 miles
Step-by-step explanation:
Step 1
first trail = 8 1/3 miles long
2nd trail = 1 3/5 times as long as the first
Therefore the distance walked in the 2nd trail is 1 3/5 x 8 1/3
changing to improper fraction and solving
=8/5 x 25/3= 40/3
The distance hiked by Jamal in the second trail = 40/3=13 1/3
Step 2
Total distance( miles ) covered by Jamal = first trail +2nd trail
= 8 1/3 + 13 1/3 =21 2/3 miles
Answer:
21 2/3 miles
Step-by-step explanation:
First trail = 8 1/3 miles long
Second trail = 1 3/5 times as long as the first trail
= 1 3/5 × 8 1/3
= 8/5 × 25/3
= 40 / 3
= 13 1/3 miles
How many miles did Jamal hike?
Total miles hiked = First trail + Second trail
= 8 1/3 miles + 13 1/3 miles
= 25/3 + 40/3
= 25+40/3
= 65/3
= 21 2/3 miles
Jamal hiked 21 2/3 miles
!!!Help!!!
Including scholarships and financial aid, Madeline has $41,000 to spend on college. If the total cost of her college education is __________, she will have enough resources to pay.
A.$44,000
B.$47,000
C.$50,000
D.$38,000
Answer:
D
Step-by-step explanation:
A rocking horse has a weight limit of 60 pounds.
What percentage of the weight limit is 33 pounds?
What percentage of the weight limit is 114 pounds?
What weight is 95% of the limit?
Answer:
(I am not sure what the question means but according to what I understood I got these as my answers)
33 pounds = 55%
114 = 240 %
95% = 57 pounds
Please help! I’ll give brainliest!
Answer:
27 degrees withI think angle sum postulate
Step-by-step explanation:
Answer:
27 degrees The postulates used are FGT and FGH
Step-by-step explanation:
FGH is 180 degrees. FGT is 153 degrees. So 180-153 is 27. plz make due on yuor brainliest promise thank you
Which number line shows the solution to
11x + 14 < –8?
Answer:
D
Step-by-step explanation:
Answer:
tis d
Step-by-step explanation:
Which describes the correlation shown in the scatterplot?
A. There is a positive linear correlation.
B. There is a negative linear correlation.
C. There is no positive or negative correlation.
D. There is a nonlinear correlation.
Answer:
C.There is no positive or negative correlation.
Step-by-step explanation:
finished Unit Test and got it correct
Answer:
C. There is no positive or negative correlation.
Step-by-step explanation:
as you can see, it is straight up and down :))
Simplify the expression.
5/2(6x - 7) + 4/3(2 + 9x)
Answer: 27x - 89/6
Step-by-step explanation:
Answer:
30-35/2+36+8/3
a triangle has side lengths of 14, 23, and 27. Is it a right angle ?
Answer:
No, it is not
Step-by-step explanation:
Here, we want to check if the lenghts given is that of a right angle triangle
For a right angle triangle, the square of the hypotenuse is equal to the sum of the squares of the two other sides
The hypotenuse represents the longest side
So 27^2 = 14^2 + 23^2
The difference between these is 4, and as such the triangle is not a right angled
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50 POINTS!!! WILL MARK BRAINLIEST!!!
solve numbers 16 and 18
show work please
Answer:
16) 102°18) 75°Step-by-step explanation:
16)
∠QPR = 1/2(QR + SV)
26x - 2 = 1/2(131 + 18x + 1)26x - 2 = 66 + 9x26x - 9x = 66 + 217x = 68x = 68/17x = 4∠QPR = 26*4 - 2 = 102°
18)
mBC = ?
∠BAC = 1/2(mBC + mFD)
8x + 6 = 1/2(8x + 11 + 9x - 7)8x + 6 = 1/2(17x + 4)16x + 12 = 17x + 417x - 16x = 12 - 4x = 8mBC = 8*8 + 11 = 75°
Harmon’s Jewelry Store receives a shipment of 500 jewelry pieces, but 15 pieces are damaged. At this rate, if Mrs. Harmon places an order for 5,500 jewelry pieces, how many should she expect to be damaged?
Answer:
She should expect 165 jewelry pieces to be damaged.
Step-by-step explanation:
5,500/500 = 11
11 x 15 = 165
X-8=3x
A) -6
B)-5
C) -4
D)-3
Which is an equivalent equation solved for the slope, m? m = yx + b m = m equals StartFraction y minus b Over x EndFraction. m = m equals StartFraction y Over x EndFraction minus b. – b m = y – m equals y minus StartFraction b Over x EndFraction.
Answer:
m equals StartFraction y minus b Over x EndFraction
Step-by-step explanation:
The standard equation of a line is expressed as;
y = MX+b where;
m is the slope
cmb is the intercept
We are to get the equivalent expression for finding the slope.
Make m the subject of the formula to get this as shown;
From the equation;
y =MX+b
Subtract c from both sides;
y-b = MX+b-b
MX = y-b
Divide through by x;
mx/x = (y-b)/x
m = (y-b)/x
Heme the required expression is m = (y-b)/x OR m equals StartFraction y minus b Over x EndFraction
Answer:
Answer B. ( I hope)
Step-by-step explanation:
The solutions to the equation f(x) = g(x) are -2 and 1. Iff and g are graphed on the same coordinate plane, which statement must be true?
The functions will intersect at x = -2 and x = 1.
The functions will intersect at y = -2 and y = 1.
Both functions will have y-intercepts at 2 and 1.
Both functions will have x-intercepts at -2 and 1.
Answer:
The correct option is;
The function will intersect at x = -2 and x = 1
Step-by-step explanation:
The question parameters are
The functions in the question are f(x) and g(x)
The solution to the equation f(x) = g(x) are -2, and 1
Given that the equations, f(x) and g(x), are both given in values of x, their solution will be the x values that satisfies both functions
Therefore, the functions will intersect (have the same values of f(x) and g(x)) at the points of the solutions, which are given as x = -2, and x = 1
The statement that should be true is the function will intersect at x = -2 and x = 1.
Given that,
The solutions to the equation f(x) = g(x) are -2 and 1. If f and g are graphed on the same coordinate plane.Based on the above information, the following information should be considered:
As the solutions represent x values that satisfied the both functions. Also, the functions should intersect that contains the same value i.e. x = -2 and x = 1.Therefore, we can conclude that the first option is correct.
Learn more: brainly.com/question/24169758
Helppppppppppppppppp
Answer:
same
Step-by-step explanation:
Which statement describes a unit rate? * 5 points Mary paid $2.50 for 3 bottles of water. Ricardo paid $17.00 for 3 pumpkins. Katherine paid $1.25 for 1 bottle of water. Joshua paid $6.00 for 3 masks.
Answer:
Katherine paid $1.25 for 1 bottle of water.Step-by-step explanation:
What is the unit rate?In this context, a unit rate is defined as the amount in dollars paid for one unit of a commodity.
In the given options, all the items are above one except
option C( Katherine paid $1.25 for 1 bottle of water.)
hence all the other amount does not correspond to the unit rate
Mary paid $2.50 for 3 bottles of water. not a aunit rate
Ricardo paid $17.00 for 3 pumpkins. not a unit rate
Katherine paid $1.25 for 1 bottle of water. a unit rate
Joshua paid $6.00 for 3 masks. not a unit rate
What is the value of x in this triangle?
A.0.58°
B.o 28.89°
C.o 56.51°
D.o 33.49°
Answer:
D. 33.49
Step-by-step explanation:
The value of x is 33.49°.
What is a right triangle?A triangle with one of its angles measuring 90° is known as a right triangle.
Given a right triangle with a hypotenuse of length 58 and a leg of length 32.
Use the sine rule:
(sin90°) / 58 = (sinx) / 32
sinx = 32/58
x = sin⁻¹ ( 32/58)
x = 33.49°
Hence, the value of x is 33.49°.
Learn more about right triangles here:
https://brainly.com/question/4364353
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HELP JUST LOOK AT PICTURE
Mary can read 22 pages in 30 minutes. How long would it take her to read a 100 page book? Write your answer in hours and minutes
Answer:
Step-by-step explanation:
Step one:
given data
we are told that Mary can read 22 pages in 30 minutes (0.5 hours)
let us find the number of pages per minute she can read
rate= quantity/time
rate= 22/30
rate=0.73 pages per minute
or
rate= 22/0.5
rate= 44 pages per hour
Step two:
Required
time taken to read 100 pages
t= quantity/rate
t=100/0.73
t=136 pages per minute
or
t= 100/44
t=2.3 pages per hour
A triangle has one angle that measures 58 degrees, one angle that measures 50 degrees, and one angle that measures
72 degrees.
What kind of triangle is it?
O A right triangle
OB. acute triangle
OC. equilateral triangle
OD
obtuse triangle
Answer:
an acute triangle - all 3 angles are less than 90 degrees.
Step-by-step explanation:
NEED HELP ASAP(mathematics)
Answer:
x+4
Step-by-step explanation:
I need help again please
Answer:
6. Would be Sports City
Step-by-step explanation:
Take 180*.15= 27
Subtract 27 from 180 and you get 153.
200*.20=40
Subtract 40 from 200 and you get 160.
For 5 just multiply the discounted price by 2.
I hope I answered your question.
HELLP ASAP
1. Kendra gets a paycheck of $300 after 5 days of work. At this rate, how much does she get paid for working 24 days?
A. $1,440
B. $4,000
C. $1,600
D. $1,840
2. Tim installs 50 square feet of his floor in 45 minutes. At this rate, how long does it take him to install 495 square feet?
A. 545 minutes
B. 2,250 minutes
C. 445.5 minutes
D. 22,275 minutes
3. Taylin buys 5 ounces of tea leaves for $2.35. At this rate, how much money does she need to buy 12 ounces of tea leaves?
A. $24.70
B. $13
c. $5.64
D. $60
if a board of 8 3/4 ft long is cut into 7 equal parts how long is each part
Answer: 1 1/4 ft each part
Step-by-step explanation: 8 3/4 divided by 7 is 1 1/4
(8.75 / 7 = 1.25)