========================================================
Work Shown:
(6 servings)/(4 oz of sauce) = (8 servings)/(x oz of sauce)
6/4 = 8/x
6*x = 4*8
6x = 32
x = 32/6
x = 5.333 approximately
x = 6 we round up despite 5.333 being closer to 5, than it is to 6.
If we went with 5 ounces, then we wouldn't clear the hurdle needed to serve 8 people.
The section below goes over why this is the case in more detail.
---------
6 servings : 4 ounces
6/4 servings : 4/4 ounces
1.5 servings : 1 ounce
So one ounce of sauce gets us 1.5 servings.
If we multiply both sides by 5, then,
1.5 servings : 1 ounce
5*1.5 servings : 5*1 ounce
7.5 servings : 5 ounces
This shows that 5 ounces of sauce will only produce 7.5 servings, which comes up short compared to 8 servings.
If we multiplied both sides by 6, then
1.5 servings : 1 ounce
6*1.5 servings : 6*1 ounce
9 servings : 6 ounces
This shows that 6 ounces of sauce yields 9 servings. We've gone overboard, but it's better to do that than come up short.
Which of the following is a radical equation?
x^3=13
x+√3=13
5x + 3 = 13
X+3= 13
Answer:
none
Step-by-step explanation:
Radical equation is an equation un which variable involve under the radical sign.
but in all given equation not a single variable is under radical sign.
Note: if you need to ask any question please let me know.
Which of the following is a correct sine ratio for the figure? Question 20 options: A) C = 5∕12 B) C = 5∕13 C) C = 12∕13 D) C = 13∕12
Answer:
B
Step-by-step explanation:
Sine is opposite/hypotenuse. Sine C would be 5/13 so option B is correct.
Point M is the midpoint of AB. The coordinates of point A are (-7, 1) and the coordinates of M are (-2,2).
What are the coordinates of point B?
Answer:
B = (3.3)
Step-by-step explanation:
Are the numbers 10 and 10% the same? By what percent is the number smaller than the greater one?
Answer:
The way to consider this problem is to realize that the
% symbol actually is equal to a number just like [tex]\pi[/tex] is
whereas [tex]\pi[/tex] is equal to 3.1415... , % is equal to .1 (as a decimal ) or 1/100 as
a fraction... thus
10% is actually 10 * 1/100 or 10/100 which is not 10...
as for the size the 1/100 essentially a DIVISION thus it ends up being SMALLER
Step-by-step explanation:
We can not compare a number and a percentage. 10% of something means 1/10th of something and it can be anything for instance.
What is the percentage?The word percentage comes from the Latin term per centum, which means "by the hundred." In the 16th century, the Latin phrase made its way into English. Later, it was shortened to percent and ended with a period. Later, the period was eliminated, and the two portions were combined to create the current one-word form of a percent.
The best way to approach this issue is to understand the percentage. The % sign actually corresponds to a number. While equals 3.1415, % is equivalent to.1 (as a decimal) or 1/100 as a portion, hence, 10% is actually 10 * 1/100, which is not the same as 10. Regarding size, since 1/100 is essentially a division, it becomes smaller.
Therefore, A number and a percentage cannot be compared. 10% of something is equal to one-tenth of it, and it can be anything, for example.
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simplify: 2y + 16 + 2y + 30 + 4y - 13 + 3y - 21
Answer:
2y + 16 +2y +30 +4y –13 +3y - 21
11y + 12
I hope I helped you^_^
Find the Perimeter of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.
Answer:
Does the answer help you?
This polygon is a Quadrilateral (4 sided
2
figure). Based on the interior angle sum,
find the value of x.
80 degrees
to
60 degrees
xº
to
O 100 degrees
O 110 degrees
Answer:
Step-by-step explanation:
3x° + 60° = 360°
3x = 360 - 60
3x = 300
x° = 100°
1) Let f be the function defined by the
graph shown at right, with y = f(x).
a) What is the value of f(-9)?
-14-13-12-)1-10-9
10 11 12
b) How many solutions are there to
the equation f(x) = -2? (Just
state how many there are.)
c) State any and all intervals on which fis decreasing
d State any and all values of x for which fax>0. Ilse intervals to do this
On another map, the distance between Saugerties and
Kingston is 2 inches. What would the distance from
Saugerties to Catskill be on this map?
Answer:
10miles
Step-by-step explanation:
Answer:
I have no clue what is going on wit dis g
Explain how the concepts of perimeter and circumference are related
A window
A door
A carpet
A fence
Answer:
A fence
Step-by-step explanation:
the sum of 5 times a number and 8 is equal to 9
Answer:
The unknown number is [tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Let's make the unknown number x.
The sum of 5 TIMES a number (x) & 8 is 9.
Let's write it mathematically.
5x + 8 =9
We are trying to find the unknown number, so let's remove all the numbers from the left side to find x. Minus 8.
5x=1
5x is basically 5 times x, so to find x, we need to divide and from there we can remove 5.
x= [tex]\frac{1}{5}[/tex]
A. Find x
B. Find the measure of angle b
C. Find the measure of angle c
Answer:
3, 50 and 70
Step-by-step explanation:
Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3
B=15x+5=50
C=22x+4=70
Help me plz thank you
Answer:
1) Distance=Speed*time
90=(x+1)*(x)+(2x+5)(x-1)
90=x^2+x+2x^2-2x+5x-5
3x^2+4x-95=0
2) 3x^2+4x-95=0. Using quadratic formula, we get
x=(-4±sqrt(16-4*3*(-95)))/6, x=5 or - 19/5 but since x also represents time, it can't be negative.
3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours
Round 96.1825899389 to 4 decimal places.
2x+3y=19 // 6x+2y=22
Answer:
(2, 5 )
Step-by-step explanation:
Given the 2 equations
2x + 3y = 19 → (1)
6x + 2y = 22 → (2)
Multiplying (1) by - 3 and adding to (2) will eliminate the x- term
- 6x - 9y = - 57 → (3)
Add (2) and (3) term by term to eliminate x
0 - 7y = - 35
- 7y = - 35 ( divide both sides by - 7 )
y = 5
Substitute y = 5 into either of the 2 equations and solve for x
Substituting into (1)
2x + 3(5) = 19
2x + 15 = 19 ( subtract 15 from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
solution is (2, 5 )
Answer ASAP please!
….
Answer:
A
Step-by-step explanation:
Cos=A/H
Cos35=x/28.7
28.7×cos 35
Answer:
the answer is A
I hope this helps out
D= -2
E = [1 2]
17. Multiply matrix D by matrix E.
A. 2
B. [
48]
5 101
C.-2-4
1 2
D.
5-2 1
4 2
Answer:
here's the answer to your question
Geometry, please answer question ASAP
Answer:
length = 11 ft
breathe = 5 ft
perimeter of rectangle = lxb
= 11ft x 5ft
= 55 ft
the answer is 55 ft
Answer:
Perimeter of rectangle = 2(l+b)
=2(11+5)
=2x16=32ft
How do you solve part c
the unit are ???
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Somebody help me please!!!!!!!!!
Answer:
[tex](x-5)^2+(y+3)^2=10[/tex]
Step-by-step explanation:
equation of a circle: (x – h)^2 + (y – k)^2 = r^2 where (h,k) is the center
The center of the circle is at (5, -3)
(x-5)^2+(y+3)^2
To find the radius, use distance formula: [tex]\sqrt{(x_{1}-x_{2})^2 + (y_{1}-y_{2})^2}[/tex]
[tex]\sqrt{(6-5)^2 + (3)^2}[/tex]
[tex]\sqrt{1^2 + 3^2} = \sqrt{1+9} = \sqrt{10}[/tex]
[tex](x-5)^2+(y+3)^2=10[/tex]
The path from the subway station to the art museum is three blocks to the north then four blocks to the west.
What is the straight-line distance in blocks from the subway station to the art museum?
Answer:
7 block s
Step-by-step explanation:
3 from North plus
4 from West
4+3=7
find the next three sequence of 1,3, 9, 27,
Answer: 81, 243, 729
Step-by-step explanation:
STEP ONE: Find a pattern in the sequence
3 ÷ 1 = 3
9 ÷ 3 = 3
27 ÷ 9 = 3
As we can see from the given sequence, each number multiplies 3 to get the next term.
STEP TWO: Find the next three terms
27 × 3 = 81
81 × 3 = 243
243 × 3 = 729
Hope this helps!! :)
Please let me know if you have any questions
Three different sizes of sports-drinks mix are shown with their prices. Can the relationship between price and volume (in grams) be described by a constant rate? Explain
Answer:
Step-by-step explanation:
No, because unit prices are different.
[tex]\frac{9.00}{150}[/tex] = $0.06 per gram
[tex]\frac{12.50}{250}[/tex] = $0.05 per gram
[tex]\frac{22.75}{325}[/tex] = $0.07 per gram
can anyone solve it plzzzz
Answer:
1.A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.
2.
Solution given:
We have
Sin²[tex]\theta[/tex]-Cos ²[tex]\theta[/tex]=1
Sin²[tex]\theta[/tex]=1+Cos²[tex]\theta[/tex]
Sin[tex]\theta[/tex]=[tex]\sqrt{1-Cos²\theta}[/tex]
3.
4Tan²[tex]\theta[/tex]+4Cot²[tex]\theta[/tex]-3Tan²[tex]\theta[/tex]-3Cot²[tex]\theta[/tex]
4Tan²[tex]\theta[/tex]-3Tan²[tex]\theta[/tex]+4Cot²[tex]\theta[/tex]-3Cot²[tex]\theta[/tex]
Tan²[tex]\theta[/tex]-Cot²[tex]\theta[/tex]
Elias made a polyhedron with 9 edges and 5 faces. Which solid could he have made?
The polyhedron that Elias could have made is a TRIANGULAR BASED PRISM.
Triangular based prism are as described below:
A triangular-based prism is known to consists of 9 edges and 5 faces as shown in the diagram below.
It is a three-sided prism and also a polyhedron made of a triangular base, a translated copy, and 3 faces joining corresponding sidesThe edges are made up of lines and these lines are the ones that intersect to form facesLearn more here: https://brainly.com/question/16682058
Answer: c
Step-by-step explanation:
The sum of two numbers is 71648.one of the number is 7 times the other.find the numbers
Answer
8956
explanation step by step
Answer: numbers are 8956 and 62692
Step-by-step explanation:
Let the numbers be x and 7x
ATQ
x + 7x = 71648
8x = 71648
x = 71648/8
x = 8956
Therefore the numbers are 8956 and 62692 respectively
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Determine the value of k if 12x2 + kx/ 4x= 3x – 5.
Answer:
k = -20.
Step-by-step explanation:
Do the division:
4x ) 12x^2 + kx ( 3x
12x^2 + k/4
So k/4 = - 5
k = -20.
Find the value of x in the diagrams below
Answer:
1. x = 24
2. x = 31
Step-by-step explanation:
For number 1, 3x - 1 = 71 because opposite angles are congruent. Solving that gives us x = 24.
For number 2, 2x + 4x - 6 = 180, because they lie on the same line and a straight line is 180 degrees. Solving that gives you 6x - 6 = 180, x = 31 degrees.
Answer:
1. 24
2. 31
Step-by-step explanation:
1. opposite angles are equal
( 3x-1)°=71°
3x=72
x=24
2. remember opposite angles are equal,
180°= (2x)°+(4x-6)°
186=6x
x=31
A shipping container is in the shape of a right rectangular prism with a length of 13 feet, a width of 9 feet, and a height of 4 feet. The container is completely filled with contents that weigh, on average, 0.61 pound per cubic foot. What is the weight of the contents in the container, to the nearest pound?
Answer:
285pound
Step-by-step explanation:
Volume of the container = length * width * height
= 13 * 9 * 4
= 468 cubic feet
Weight of the contents in the container = 468 * 0.61 = 285.48 = 285pound
Determine the period.
Answer:
4
Step-by-step explanation:
The period is the length of one cycle.
By cycle, I mean the smallest piece that can be traced and copied over and over to form the whole graph. If you notice the graph starts at x=0 and the curve makes a complete cycle by x=4. The cycle starts over again at x=4 and ends at x=8. I hope you are seeing the graph looks exactly the same from x=0 to x=4 as x=4 to x=8.
The length of one cycle of this graph is 4.
The period of function is,
P = 4
Since, In order to find the period of a graph in general, first, find the period of the parent function, and divide that by the absolute value of the coefficient of the independent variable.
Here, Graph of function is shown.
Hence, The period of function is,
P = 4
Therefore, The period of function is,
P = 4
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