Answer:
27 smoothies
Step-by-step explanation:
if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)
the perimeter of a rectangular garden is 50 meters and area is 150 meters square . calculate the length and breadth of the garden please help me with this urgently!!!
Answer: The two sides are 15m and 10m.
Step-by-step explanation:
Area = l x w
150 = l x w
There are two solutions for l
l 1= P/4+1/4√P2﹣16A
=50/4+1/4·√50^2﹣16·150=15m
l2 = P/4﹣1/4√P2﹣16A
=50/4﹣1/4·√50^2﹣16·150=10m
The length and breadth of the rectangular garden are 15 meters and 10 meters respectively.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
Given that,
The perimeter of rectangular garden P = 50 meters.
And the area of garden = 150 square meters.
Let the length of rectangular garden is l and breadth is b,
The perimeter of garden = 2 (l + b)
According to given condition,
2(l + b) = 50
l + b = 25 (1)
Also, the area of rectangle having side l and b,
Area = l x b
l x b = 150 (2)
By solving equation (1) and (2),
The length l = 15 and breadth = 10.
The required length and breadth of the rectangular garden is 15 meters and 10 meters respectively.
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In a hostel of 50 students there is food for 40 days.If 30 more students join the hostel then how long will the food last? 23 days 20 days 25 days 30 days
Answer: 25 days
Step-by-step explanation:
The original number of students in the hostel was 50, and now it is 80 because 30 joined. So the original number of students was 5/8 of what it is now.
I use the inverse formula the number of days the food will last.
40 * 5/8 = 200/8 = 25
If there are 80 students, then the food will only last for 25 days.
One printing press has a fixed daily cost of $50 and a variable cost of $1.50 for every 30 pages printed. A second printing press has a fixed daily cost of $10 and a variable cost of $2 for every 30 pages produced. Question Determine the number of pages for which the total daily costs will be the same. A. 80 B. 1,500 C. 2,400 D. 3,900
Answer:
2400 pages
Step-by-step explanation:
Printer 1 : 50+ 1.50/30 x where x is the number of pages
Printer 2 : 10 + 2/30 x where x is the number of pages
Set them equal
50+ 1.50/30 x = 10 + 2/30 x
50 + 1/20x = 10 +1/15 x
Subtract 1/20x from each side
50 + 1/20x -1/20x= 10 +1/15 x-1/20x
50 = 10 +1/15x - 1/20x
Subtract 10 from each side
40 = 1/15x - 1/20x
Get a common denominator
40 = 4/60x - 3/60x
40 =1/60x
Multiply by 60
40 *60 = 1/60x *60
2400 =x
Answer:
2400 pages
Step-by-step explanation:
First, let's make equations for the daily cost of the first printing press, with y being the total daily cost, and x being the total number of pages printed.
y=0.05x+50
Now, let's make an equation for the total daily cost of the second printing press.
y=(2/30)x+10
Since both equations are equal to y, let's use the substitution method and set them equal to each other.
0.05x+50=(2/30)x+10
Let's substitute 80 for x into both equations and see if we get a true statement.
0.05(80)+50=(2/30)(80)+10
4+50=16/3+10
54=46/3 X
Since this is a false statement, 80 pages cannot be the solution.
Now, let's try 1500 for x.
0.05(1500)+50=(2/30)(1500)+10
75+50=100+10
125=110 X
Since this is a false statement, 1500 pages cannot be the solution.
Now, let's try 2400 for x.
0.05(2400)+50=(2/30)(2400)+10
120+50=160+10
170=170
Since this is a true statement, 2400 pages is the correct solution, and it will lead to a daily cost of $170.
How many times does 4/5 go into 18/25?
Answer: 9/10 times
Step-by-step explanation:
Hi, to answer this question we simply have to divide 18/25 by 4/5
Mathematically speaking:
18/25 ÷ 4/5 = (18 x 5) / (25 x 4) = 90/100 = 9/10
In conclusion, the answer is 9/10 times.
Feel free to ask for more if needed or if you did not understand something.
I will mark you brainiest!!! What is 6 1/3 equal to?
Answer:
³√6
Step-by-step
³√6
the number sentence 4*6=6*4 is an example of what property
The number sentence 4 x 6=6x4 is part of the commutative property of multiplication. This is because since the equation is reversed, it shows that the results will still be the same.
......hope it helps you..all the best
Answer:
Commutative of Multiplication
Step-by-step explanation:
In commutative of multiplication, we can swap the numbers and still get the same product.
A rectangle has a length 2 cm larger than its width.
(a) If the perimeter of the rectangle is 14 cm, what are the dimensions of the reciangle?
(b) If the area of the rectangle is 63 cmwhat are the dimensions of the rectangle?
(a) The width of the rectangle is cm, and the length of the rectangle is cm.
(Type an integer or a decimal)
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what is the point slope form of a line with slope -4 that contains the point (-2,3)
Answer:
y -3 = -4(x+2)
Step-by-step explanation:
The point slope form of a line is
(y-y1) = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y -3 = -4(x- -2)
y -3 = -4(x+2)
One of the roots of the quadratic equation 4mnx^2 – 6m^2x – 6n^2x + 9mn = 0 (m, n ≠ 0) is a)-3m/2n b)3m/2n c)2m/3n d)-2m/3n
Answer:
[tex]B.\ \frac{3m}{2n}[/tex]
Step-by-step explanation:
Given
[tex]4mnx^2 - 6m^2x - 6n^2x + 9mn = 0\ (m, n \neq 0)[/tex]
Required
Calculate one of the root of the equation
[tex]4mnx^2 - 6m^2x - 6n^2x + 9mn = 0[/tex]
Factorize
[tex]2mx(2nx - 3m) -3n(2nx - 3m) = 0[/tex]
[tex](2mx - 3n)(2nx - 3m) = 0[/tex]
Split equation
[tex]2mx - 3n = 0\ or\ 2nx - 3m = 0[/tex]
Make x the subject of formula in both expressions
[tex]2mx = 3n\ or\ 2nx = 3m[/tex]
[tex]x = \frac{3n}{2m}\ or\ x = \frac{3m}{2n}[/tex]
From the list of given options, one of the roots of the equation is [tex]\frac{3m}{2n}[/tex]
need help with this question... ASAP
Answer: C
Step-by-step explanation:
The negative is affecting the whole equation, so it is flipped over y. The 2 is also affecting the whole equation, so it is vertically compressed.
Dan and Paul share some money in the ratio 11:5.
Dan decides this is unfair so he gives Paul £30 of his share to make the ratio 1:1.
How much did Paul originally have?
Answer:
50 pounds
Step-by-step explanation:
This situation can be expressed as:
11x-30=5x+30
6x-30=30
6x=60
x=10
5x=50
Paul originally had 50 pounds. Hope this helps!
1 is a cube a prism?
Answer:
A cube is a prism, with a square cross section
Step-by-step explanation:
Hope this helps.
Mark brainiest
BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!!
[tex]answer \\ option \: c \\ {2x}^{2} - 6x - 7 \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]
Answer:
C. 2x^2 - 6x - 7
Step-by-step explanation:
Difference means minus
(6x^2-3x-2)-(4x^2+3x+5)
=6x^2 - 3x - 2 - 4x^2 - 3x - 5
=2x^2 - 6x - 7
Good Luck!
Any answers plz and thank you
Answer:
x = 19
Step-by-step explanation:
Since CD = DE then Δ CDE is isosceles and the base angles are congruent.
∠ DCE = ∠ DEC = 38° , thus
∠ CDE = 180° - (2 × 38)° = 180° - 76° = 104°
The consecutive angles of a parallelogram are supplementary, thus
∠ BAE + ∠ CDE = 180, that is
4x + 104 = 180 ( subtract 104 from both sides )
4x = 76 ( divide both sides by 4 )
x = 19
Circle D circumscribes ABC and ABE. Which statements about the triangles are true? Statement I: The perpendicular bisectors of ABC intersect at the same point as those of ABE. Statement II: The distance from C to D is the same as the distance from D to E. Statement III: bisects CDE. Statement IV: The angle bisectors of ABC intersect at the same point as those of ABE. A. I only B. I and II C. II and IV D. I and III E. III and IV
Answer:
The correct option is;
B. I and II
Step-by-step explanation:
Statement I: The perpendicular bisectors of ABC intersect at the same point as those of ABE
The above statement is correct because given that ΔABC and ΔABE are inscribed in the circle with center D, their sides are equivalent or similar to tangent lines shifted closer to the circle center such that the perpendicular bisectors of the sides of ΔABC and ΔABE are on the same path as a line joining tangents to the center pf the circle
Which the indicates that the perpendicular the bisectors of the sides of ΔABC and ΔABE will pass through the same point which is the circle center D
Statement II: The distance from C to D is the same as the distance from D to E
The above statement is correct because, D is the center of the circumscribing circle and D and E are points on the circumference such that distance C to D and D to E are both equal to the radial length
Therefore;
The distance from C to D = The distance from D to E = The length of the radius of the circle with center D
Statement III: Bisects CDE
The above statement may be requiring more information
Statement IV The angle bisectors of ABC intersect at the same point as those of ABE
The above statement is incorrect because, the point of intersection of the angle bisectors of ΔABC and ΔABE are the respective in-centers found within the perimeter of ΔABC and ΔABE respectively and are therefore different points.
Answer:
It’s B
Step-by-step explanation:
___rational numbers are real numbers. 1.) All 2.) Some 3.) No
Answer:
All
Step-by-step explanation:
Rational numbers are numbers that are/can written as fraction form and have terminating decimals (or repeating decimals that can be written as fractions). They also aren't imaginary numbers.
Answer:
There aren't fake or imaginary numbers so all rational numbers are real numbers. Rational numbers are a fraction or repeating decimal or an infinite digit number.
Step-by-step explanation:
Britney just got a new video game for her birthday. Yesterday, she played for 27 minutes and beat 3 levels. Today, her parents said she can play for 45 minutes. If she beats levels at the same rate, how many levels should Britney beat today?
Answer:
The answer is 5
Step-by-step explanation:
hope this helped you
Today Britney beat 5 levels of a video game if she played at the same playing proportion with time as yesterday.
What is proportion of doing work?proportion or rate of work done is the ratio of the total work done in a given time divided by the given time. It is the measure of the proportion of doing work per unit time.
proportion of work done = Total work done / Given time
Yesterday ,Britney played 3 levels in time 27 minutes
Work done(levels cleared) = 3 levels
Time taken = 27 minutes
Yesterday the proportion or rate of playing game = 3 levels / 27 minutes = ( 1/ 9) levels/ min
Today, Britney is allowed to play for 45 minutes at the same proportion rate she played yesterday
Then, the work done or level beat today = rate of playing game × time
= (1/9)×45 = 5 games
Therefore, Britney cleared 5 games today if she played at same rate as she did yesterday
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Solve (x-4)^2=5 (Full question shown in the image below)
Answer:
Answer is option a) x = 4 ±√5
Step-by-step explanation:
[tex]given \: equation \: is \\ {(x - 4)}^{2} = 5 \\ taking \: sqareroot \: on \: bot \: sides \\ x - 4 = ± \sqrt{5 } \\ x = 4± \sqrt{5} [/tex]
HAVE A NICE DAY!
THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.
(44143)5*(23023)5
please hurry up
WILL GIVE BRANLIEST (15 POINTS)
Answer:
x^2 + 2x+1
Step-by-step explanation:
g(x) = x^2
Replace x with x+1
g(x+1) = (x+1)^2 = (x+1)(x+1)
FOIL
g(x+1) = x^2+x+x+1 = x^2 + 2x+1
Which segment is an angle bisector of triangle ABC?
A. BX
B. SR
C. BF
D. AR
Answer: A. BX
Step-by-step explanation:
BX is the only line that bisects an angle. BX bisects angle B. Therefore, BX is an angle bisector.
SR is an altitude
BF is a segment of BC
AR is a chord
BX is the angle bisector of triangle ABC.
Angle bisecting refers to dividing an angle into two equal or congruent parts. The line or ray that divides the angle into two equal parts is called the angle bisector. It always cuts the angle into two angles of equal measure.
The properties of an angle bisector are :
It divides the angle into two equal angles, i.e., both resulting angles have the same measurement.
It is equidistant from the two sides of the angle, i.e., any point on the angle bisector is equidistant from the sides of the angle.
If a point lies on the angle bisector, it is equidistant from the two sides of the angle.
So, looking at the properties we can say that BX is the angle bisector of triangle ABC.
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Please help I don’t understand
Answer:
the ASA similarity theorem
Step-by-step explanation:
As seen in the picture, the similarities are 2 sides and the angle between them
So the similarity is ASA, second answer choice
I need help please urgent❤️
Answer:
Answer to number 2. is 30 minutes.
Step-by-step explanation:
Each smaller box horizontally represents 10 minutes. There included three boxes where he covered no distance.
Best Regards!
Solve the equation below for x. cx - 4 = 7 A.) x = c/11 B.) x = 3/c C.) x = 11/c D.) x = c/3 How it looks in the question 1st.) [tex]x = \frac{c}{11}[/tex] 2nd.) [tex]x = \frac{3}{c}[/tex] 3rd.) [tex]x = \frac{11}{c}[/tex] 4th.) [tex]x = \frac{c}{3}[/tex]
Answer:
3
Step-by-step explanation:
cx-4 = 7
Rearrange and solve.
cx = 7+4 = 11
cx = 11
x = 11/c
Hope this helps
The answer for cx - 4 = 7 is C.) x = 11/c
Add 4 to both sides
cx-4 + 4 = 7 + 4
Simplify
cx=11
Divide both sides by c; c ≠ 0
cx/c = 11/c; c ≠ 0
Simplify
x = 11/c; c ≠ 0
A rocket is launched from the space coast of Florida and can be seen from local schools. The angles of elevation from western high school and pine high school are 41 degrees and 23 degrees respectively. If the schools stands 512 miles apart , how far is the rocket from pine high school
Answer:
distance of the rocket from the pine high school ≈ 344 miles
Step-by-step explanation:
The illustration forms a triangle with 2 right angle triangle in it. The western high school angle of elevation is 41° and the pine high school angle of elevation is 23°. The distance between the 2 school is 512 miles .The distance of the rocket from the pine school is the adjacent side of one of the right angle triangle .
The full triangle has angle of 23°, 41° and the last angle will be 180 - 23 - 41 = 116°. The hypotenuse side of the right angle triangle representing the pine high school triangle can be solved using sine formula.
p/sin 41° = 512/sin 116°
p/0.65605902899 = 512/0.89879404629
cross multiply
0.89879404629 p = 335.902222843
divide both sides by 0.89879404629
p = 335.902222843 /0.89879404629
p = 373.725464949
p ≈ 373.70 miles
using cosine ratio the adjacent side of the triangle can be found.
cos 23° = adjacent/hypotenuse
cos 23° = adj/373.70
cross multiply
adjacent = 0.92050485345 × 373.70
adjacent = 343.992663735
distance of the rocket from the pine high school = 343.992663735
distance of the rocket from the pine high school ≈ 344 miles
What is the prime factorization of 40?
2 x 5
2 x 20
2x2x2x5
2x2x4x5
Answer:
Option 3
Step-by-step explanation:
The prime factorization of 40 is as follows:
40 = 2 × 2 × 2 × 5
each case of apples jacks jake buys weight 24 pounds which equation tells the number of pounds in any numbers of cases
Answer:
idk good luck have a nice day
express 0.029646 correct to three decimal places
Answer:
0.030
Step-by-step explanation:
When you "round to the nearest _____" regardless of what goes in the blank the steps are nearly always the same:
Identify which place value you are rounding to. The smaller the place value, the more accurate the final result will be.
Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place.
If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is. Any digits after that number (including the next smallest place value you just looked at) become zeros, or drop-off if they're located after the decimal point. This is called rounding down.
If the next smallest place value is greater than or equal to five (5, 6, 7, 8, or 9), you increase the value of the digit you're rounding to by one (+1). Just like before, any remaining digits before the decimal point become zeros, and any that are after the decimal point are dropped. This is called rounding up.
Look at the data in the table.
ху
4,9
12,28
7,14
9,20
5,9
12,30
10,22
What is the solution to log2 (9x)- log2^3=3?
x=3/8. x=8/3
x=3
X=9
Answer:
x = [tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Using the rule of logarithms
log x - log y = log ([tex]\frac{x}{y}[/tex] )
[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]
Given
[tex]log_{2}[/tex] (9x) - [tex]log_{2}[/tex] 3 = 3
[tex]log_{2}[/tex] ([tex]\frac{9x}{3}[/tex] ) = 3
[tex]log_{2}[/tex] 3x = 3
3x = 2³ = 8 ( divide both sides by 3 )
x = [tex]\frac{8}{3}[/tex]
