Answer:
60 biscuits
Step-by-step explanation:
It is 60 biscuits because if 5 cups equals 20 then 15 equals 60 biscuits. If you do the math correctly you should get this answer!
60 biscuits are made with 15 cups of flour.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Number of biscuits used to make 5 cups of flour = 20.
To find the number of biscuits that are used to make 15 cups of flour.
Use ratio property,
Since, 5 cups of flour = 20 biscuit
⇒ 1 cup of flour = 20 / 5 biscuit = 4 biscuit
Therefore,
15 cups of flour = 15 x 4 = 60 biscuit.
Hence, 15 cups of flour are required to make 60 biscuits.
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On her first 5 tests, Francine scored 78%, 82%, 89%, 83% and 84%. What was her mean score?
Answer:
83.2%
Step-by-step explanation:
Just add all the percentages together and divide it by the number of scores, which in this case is 5.
Answer:
83.2%
Step-by-step explanation: we know, mean = sum of data/ number of data
= 78+82+89+83+84
=416
now ,
416/5 = 83.2%
What is the exact value of Tangent (StartFraction pi Over 12 EndFraction)
Answer:
a
Step-by-step explanation:
just did it and got right
The required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
These are the equation that contains trigonometric operators such as sin, cos.. etc. In algebraic operation.
Let,
= [tex]tan(\pi /12) = tan((3-2)\pi /12)[/tex]
[tex]= tan[(3\pi -2\pi )/12]\\=tan(3\pi /2-2\pi /12)\\=tan(\pi /4-\pi /6)\\=\frac{tan(\pi/4)-tan(\pi/6)}{1+tan(\pi/4)tan(\pi/6)}[/tex]
= [tex]\frac{1-1/\sqrt{3} }{1+1*1/\sqrt{3} } \\[/tex]
[tex]=\frac{(\sqrt{3}-1)/\sqrt{3}}{(\sqrt{3}+1))/\sqrt{3}}[/tex]
[tex]=\frac{(\sqrt{3}-1)}{(\sqrt{3}+1)}\\=\frac{(\sqrt{3}-1)(\sqrt{3}+1)}{(\sqrt{3}+1)(\sqrt{3}+1)}\\=\frac{(3-2\sqrt{3}+1)}{(3-1)}\\\\=\frac{(4-2\sqrt{3})}{(2)}\\={(2-\sqrt{3})}\\[/tex]
Thus, the required value of the trigonometric operator tan(π/12) = 2 -√3. None of them is correct.
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Area of the base= 324cm square , Height=8cm. Find the volume of the cylinder.
Plz tell as fast as possible. PLZ
Is 12 even or odd? Pick you choice
Answer:
Even
Step-by-step explanation:
The price of the meal was $29.85. • The sales tax was 6% of the price of the meal. • The tip was 15% of the meal and the sales tax. How much money did the Smith family pay for the meal, including tax and tip?
Answer:
£36.39
Step-by-step explanation:
hope this helps
5/3x - 2y=-2
-x+y=2
Answer:
(6/11, 16/11)
Step-by-step explanation:
While it's fairly obvious that you're supposed to "solve this system of equations," it'd be clearer if you were to say so specifically. Also, reduce ambiguity by using parenthes: You meant either (5/3)x or 5/(3x). Which one? I'm assuming it's (5/3)x.
Then our system is:
(5/3)x - 2y = -2
x + y = 2
Let's eliminate y through addition/subtraction. Multiply the 2nd equation through by +2:
(5/3)x - 2y = -2
2x + 2y = 4
------------------------
(11/3)x = 2
Multiplying both sides by 3 eliminates the fractional coefficient:
11x = 6
Then x = 6/11. Now we must solve for y:
-(6/11) + y = 2
Multiplying 2 by 11/11 yields:
-(6/11) + y = 22/11.
This simplifies to y = 16/11
Thus, the solution of this system is
(6/11, 16/11)
number of boys and girls are in the class are in the ratio of 7 : 5 the number of boys is 8 more than the number of girls what is a total class strength?
Answer:
Step-by-step explanation:
Given ratio of boys and girls in the class =7:5
No of boys is 8more than the girls
So
Let no of boys in the class =7x
No of girls in the class=5x
7x=5x+8
2x=8
X=8/2
X=4.
Total strength =no of boys + no of girls
=7x+5x
=7×4+5×4
= 28+20
=48.
Total strength in the class is 48.
Answer:
Total class strength = 48
Step-by-step explanation:
Boys : Girls = 7 : 5
Number of boys = 7x
Number of girls = 5x
7x - 5x = 8
2x = 8
x = 8/2
x = 4
Total strength = 7x + 5x = 12x = 12*4 = 48
When Isaac was born he weighed 8 pounds. How many ounces are equivalent to 8 pounds?
Answer:
128 ounces
Step-by-step explanation:
Answer:
128 ounces
Isaac weighed 8 lbs, or 128 ounces
Just multiply the mass value by 16, and you'll get 128.....
Hope this helps you
If l is parallel to m, solve for x and y.
Answer:
Step-by-step explanation:
3x + 49 = 7x - 23
4x = 72
x = 18
11y - 1 = 3(18)
11y = 55
y = 5
The value of x is 18 and y is 5.
What are the properties of parallel lines?Following are the properties of parallel lines,
The pairs of vertically opposite angles are equal.The pairs of corresponding angles are equal.The pairs of alternate exterior angles are equal.The pairs of alternate interior angles are equal.Given:
<1 = 7y -23
<2 = 11y -1
<3 = 3x
Using corresponding angle
7x - 23 = 3x + 49
4x = 72
x = 18
again, Using corresponding angle
3x = 11y - 1
3(18) = 11y - 1
11y = 55
y= 5
Hence, the value of x is 18 and y is 5.
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What is the volume of a sphere with a radius of 6 inches?
290n cubic inches
288n cubic inches
112n cubic inches
300n cubic inches
3. Lim
x-infinity
x² +6x²+1/
x²+3
[AP]
=======================================================
Explanation:
Let n be the degree of the numerator
Let d be the degree of the denominator
If n < d, then the limit at infinity is always 0. This is because the denominator is growing faster compared to the numerator. I suggest looking at a table of values to see this in action.
In this case, n = 3 and d = 4, so we see that n < d is the case here. So that's why the answer is 0.
----------------------
Side notes:
If n = d, then the limit at infinity is equal to a/b, where a and b are the leading terms of the numerator and denominator. If n > d, then the numerator is growing faster than the denominator, meaning the ultimate result is infinity.3x + 12 – 6x ≤ -9 Solve, graph, and express the following inequalities in interval notation.
The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
3x + 12 – 6x ≤ –9
Simplify the equation, then the value of 'x' is calculated as,
3x + 12 – 6x ≤ –9
6x – 3x ≥ 12 + 9
3x ≥ 21
x ≥ 21 / 3
x ≥ 7
The solution of inequality 3x + 12 – 6x ≤ –9 will be greater than or equal to 7.
The solution is shown on the number line.
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What additional information could be used to prove that ΔXYZ ≅ ΔFEG using ASA or AAS? Check all that apply. ∠Z ≅ ∠G and XZ ≅ FG ∠Z ≅ ∠G and ∠Y ≅ ∠E XZ ≅ FG and ZY ≅ GE XY ≅ EF and ZY ≅ FG ∠Z ≅ ∠G and XY ≅ FE
Answer:
The answer is A and E.
A.∠Z ≅ ∠G and XZ ≅ FG
E.∠Z ≅ ∠G and XY ≅ FE
Step-by-step explanation:
Answer:
1 & 5
Step-by-step explanation:
i know da way
The shape below has both reflectional and rotational symmetry true or false
Answer:
False
Step-by-step explanation:
This shape does not have reflectional symmetry because you can't draw a line have both sides look identical.
Answer:
False
Step-by-step explanation:
sure it has Rotational but a Reflection no
if the nth term of a sequence is 5n+1 what is the 12th term?
Answer:
61
Step-by-step explanation:
nth=5n+1
.: 12th=5(12)+1 =60+1
=61
What does the “M” and “B” stands for in the equation y=mx+b?
Answer:
m:number that is multiplied on x b:the y-intercept
Step-by-step explanation:
In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis). This useful form of the line equation is sensibly named the "slope-intercept form".
In the equation y = mx + b, m represents slope and b represents y intercept.
In the equation y = mx + b, the variables "m" and "b" represent coefficients or constants. Specifically:
"m" represents the slope of the line. It determines the steepness or inclination of the line.
The slope indicates how much y (the dependent variable) changes for each unit change in x (the independent variable).
"b" represents the y-intercept of the line. It is the value of y when x is equal to zero.
The y-intercept is the point where the line intersects the y-axis.
m and b define the equation of a straight line in slope-intercept form, where "m" is the slope and "b" is the y-intercept.
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help, please for 20 points
9514 1404 393
Answer:
salt, super clean, pepper, washing powder
44oz drink, popcorn, 32oz drink
Step-by-step explanation:
The number of ounces can be found by dividing the price by the price per ounce:
3.60/(0.30/oz) = 12 oz . . . salt
8.80/(0.11/oz) = 80 oz . . . super clean
6.72/(0.42/oz) = 16 oz . . . pepper
7.80/(0.13/oz) = 60 oz . . . washing powder
__
3.52/(0.08/oz) = 44 oz . . . 44oz drink
9.00/(0.18/oz) = 50 oz . . . popcorn
1.92/(0.06/oz) = 32 oz . . . 32oz drink
Angle M and angle R form a supplementary angle.
The measure of Angle R is 40+2x.
The measure of angle M is 13x.
What is the value of x
Answer:
[tex]x = 9.33(appx)[/tex]
Step-by-step explanation:
If two angles form an supplementary angle, their sum will be 180°.
In the question , angleM & angleR form a supplementary angle.
[tex] = > 13x + 40 + 2x = 180[/tex]
[tex] = > 15x + 40 = 180[/tex]
[tex] = > 15x = 180 - 40 = 140[/tex]
[tex] = > x = \frac{140}{15} = 9.33(appx)[/tex]
Find the value of c that completes the square
x^2+2x+c
Please help me with how to do this, and show me. Thank you.
Answer:
c = 1
Step-by-step explanation:
Given
x² + 2x + c
To complete the square
add ( half the coefficient of the x- term )² to x² + 2x
x² + 2(1)x + 1
= (x + 1)²
Thus
x² + 2x + 1 = (x + 1)² ← a perfect square
with c = 1
cal d gradient B(4,-7), c(-6-5) and d two point find d gradient
Answer:
d = - 1/5
Step-by-step explanation:
slope form: m= y2-y1/x2-x1
m= -5-(-7)/-6-4
m= 2/-10
m= - 1/5
1. A relation contains the ordered pairs shown. One of the ordered pairs is missing an x-coordinate. {(-1,4),(0,4),(2,5),(3,-6),(?,7)} What could be the missing x-coordinate if the relation is not a function?
Answer:
There are 4 possible scenarios where given relation could not be a function:
i) [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]
ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]
iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]
iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]
Step-by-step explanation:
From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:
i) [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]
ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]
iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]
iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]
For a United Way fund-raising dinner, a total of 245 tickets were sold. Adult tickets sold for $6.50, and child tickets sold for $3.00. If $1410.50 worth of tickets were sold, how many adult and child tickets were sold?
Answer:
Adults =193
children=52
Step-by-step explanation:
Step one:
let the number of tickets adults be x
and the number of tickets children be y
x+y=245--------1
6.5x+3y=1410.5---2
Step two:
solve the system of equation using substitution
x+y=245
x=245-y
put x=245-y in equation 2 we have
6.5(245-y)+3y=1410.5
1592.5-6.5y+3y=1410.5
-6y+3y=1410.5-1592.5
-3.5y=-182
y=182/3.5
y=52
put y=52 in x=245-y
x=245-52
x=193
What fraction of a metre is 20cm?
Answer:
1/5
Step-by-step explanation:
A metre is 100cm, thus
20cm/100cm= 1/5
Denise wants to cover a 21.75 square foot wall with weathered wood. If each box of weathered wood contains 1.5 square feet of wood, how many boxes of weathered wood does she need?
Answer: 15 boxes
Step-by-step explanation:
From the question, we are informed that Denise wants to cover a 21.75 square foot wall with weathered wood and that each box of weathered wood contains 1.5 square feet of wood.
The number of boxes of weathered wood that she need will be calculated by dividing 21.75 square feet by 1.5 square feet. This will be:
= 21.75/1.5
= 14.5
= 15 boxes approximately
Need help on this Math problem
Answer:
I hope I helped :)
Step-by-step explanation:
a. The y-intercept represents b. (y = mx + b) also b is 20 because that's where the line touches the y-axis.
b. The slope represents Sam's monthly fee.
c. Sam's monthly fee is 0.4 or 2/5
d. Every 50 minutes is $20.
Write an equation in slope intercept form for the line that it passes through (10, 3) and is parallel to the line described by y = 4x + 7.
Answer:
y = 4×-37
Step-by-step explanation:
y - 3 = 4(× - 10)
y - 3 = 4× - 40
+3. +3
y = 4x - 37
sorry if this wrong, but the equation setup is right
19. Jake thinks of a secret number. He says that his secret number is more than 6 units away from 2. Write a
compound inequality that gives the possible values of Jake's number. Graph the inequality.
PLEASE HELP 20 POINTS...PLEASE HELP
Answer: the slope of this line is 2/3
Step-by-step explanation:
If you use rise/run, you will find that rise=2 and run=3, so the slope 2/3.
Answer: -2/3
rises by 2 and runs by 3
using points (0,2) and (-3,3)
I hope this is good enough:
PLEASE HELP ME ASAP??!!
Classify the following triangle. Check all that apply.
Answer:
A. Isosceles
D. Scalene
E. Acute
y = 3x = 2
=
- x + 6