Answer:It takes 250 g of pasta and 240 ml of sauce to make one batch of spaghetti and it takes 600g of pasta and 700ml of sauce to make one batch of lasagna.
Case 1: Pasta
The chef wants to make spaghetti and lasagna using more than 4000 g of pasta.
S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
So the equation becomes :
Case 2: Sauce
chef wants to make spaghetti and lasagna using more than 5000 ml of sauce.
S denote the number of batches of spaghetti he makes and L the number of batches of lasagna he makes.
So the equation becomes:
Answer :
The two equations are :
For pasta:
For sauce:
Step-by-step explanation:
Find the value of X and Y
Answer:
Answer: x=4, y=10
Step-by-step explanation:
Lines and Angles
When lines cross, the angles formed in the intersections meet certain properties that help us to solve some geometry problems.
We must recall the so-called linear angles, defined as the adjacent angles formed in the point where two lines cross.
Linear angles always add up to 180°
We can see line m intersects with the horizontal (unnamed) line forming two pair of linear angles, thus:
29x - 3 + 15x + 7 = 180
Simplifying:
44x +4 = 180
Subtracting 4:
44x = 176
Dividing by 44:
x = 176/44
x = 4
Now below the horizontal line, we find other pair of linear angles, thus:
13y - 17 + 15x + 7 = 180
Substituting x=4:
13y - 17 + 60 + 7 = 180
Simplifying:
13y + 50 = 180
Subtracting 50:
13y = 180 - 50 = 130
Dividing by 13:
y = 130/13 = 10
y = 10
Answer: x=4, y=10
Jonathan wants to the new baseball game for his game console. The game costs $45.99. If sales tax is 6%, write an equation to find the total cost of the game, represented as P.
Answer:
45.99x.94=P
Step-by-step explanation:
find the square root of 7921 ?
Answer:
±89
Step-by-step explanation:
..................
please help! which sentence explains why the moon can be seen from the earth at night?
here are the options to choose from
Answer:
a
Step-by-step explanation:
Answer:
A - The Moon reflects light from the Sun.
Step-by-step explanation:
As the moon moves around the sun in a one month cycle, different parts of it are exposed to the sun. When it is exposed to the light from the Sun it is reflected and people on Earth could see it at night, and sometimes during the day as well.
The measure of an angle is 26°. What is the measure of its complementary angle?
Answer:
64
Step-by-step explanation:
Complementary angles have to add up to 90.
90-26=64.
Answer:
64°
Step-by-step explanation:
Complementary angle means it add up to 90°
26° + x = 90°
x = 64°
please help with 1-3
HELP!!! NEED ASAP!!!! WILL MARK BRAINLIST!!!
Answer:
2^-15
Step-by-step explanation:
A flagpole that is 28 feet tall casts a 15-foot shadow. At the same time, a nearby tree casts a 21 foot shadow. Find the height of the tree.
Round to the nearest tenth.
Answer:
7.5 ft tall
Step-by-step explanation:
We can find the height of the tree if you provide the actual length of the trees shadow.
Not really sure what a "toilet for a shadow" means.
Example: If the tree cast a shadow that was 4 feet long we would use a ratio:
Height/shadow = Height/Shadow
28/15 = x/4 cross multiply
15x = 4(28)
x = 4(28)/15 ≅ 7.47 ft
Rounding I would call the tree 7.5 ft tall
Hope this helps.
Answer:
39.2 feet
Step-by-step explanation:
In case of flagpole:
[tex] tan \theta = \frac {28}{15}..... (1)[/tex]
Since, a nearby tree casts a 21 foot shadow at the same time. So the angle formed will be equal.
Let the height of the tree be x feet.
Therefore,
[tex] tan \theta = \frac {x}{21}.....(2)[/tex]
From equations (1) & (2)
[tex] \frac {28}{15} = \frac {x}{21}.....(2)\\\\
x = \frac{28\times {21} }{{15} }\\\\
x = \frac{588}{{15} }\\\\
x = 39.2 \\\\
[/tex]
is 3x+11/x-4 = 4/x(x-4)
Answer:
x= -5
Step-by-step explanation:
please help i’ll give brainliest! thank you!
Answer:
no correlation
Step-by-step explanation:
the dots are scattered randomly and not in a positive or negative correlation
In the context of this graph, what do the slope and y-intercept mean?
Help me for a brainliest
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
108 is 36% of what number? Write and solve a proportion to solve the problem.
Answer: 300
Step-by-step explanation:
Let the number be represented by x.
Therefore, based on the information given in the question, this can be expressed as:
36% of x = 108
36/100 × x = 108
0.36 × x = 108
0.36x = 108
x = 108/0.36
x = 300
Therefore, the number is 300
Jack’s car used 18 gallons of gasoline to go 468 miles. At that rate, how many gallons would be used to go 754 miles? Explain how you know.
Answer:
29 gallons.
Step-by-step explanation:
For every gallon, a total number of 468/18 miles = 26 miles could be travelled.
And hence, to travel 754 miles, a total of 754/26 gallons = 29 gallons would be needed.
Hope this helped!
y = -2x + 13 when x = 6
Answer: 1
Work: After plugging in the 6 in the X, the new equation is -2(6) + 13. After doing the multiplication of -2 and 6, you get -12. Add -12 + 13, and the answer (Or y) equals 1.
I hope this helps, and Happy Holidays! :)
what is the b in equation y=2x+12
Answer:
b = 12
Step-by-step explanation:
y = mx + b
b = 12
Answer:
the b is 12
Step-by-step explanation: y=mx+b
You are give 3 sticks .Make 4 out of them without breaking...how will do this?
Answer:
take the sticks and make the number 4 out of them
Step-by-step explanation:
Can someone help with this I’ll mark u as brainlist
Answer:i don’t really k ow but i need points to ask questions
Step-by-step explanation:
If RSTU is translated by the rule (x,y) > (x+2, y-10) , in which quadrant will the image R'S'T'U be located ?
Answer:
D) Quadrant 3
Step-by-step explanation:
ok so lets get a random point and try it out i see -10 is a big number so i will use R and see where it is and then t
R(-8,3) so add 2 to x and minus 10 y
R'(-6,-7)
Now t
T(-4,9)
(+2,-10)
T'(2,-1)
It is Quadrant 3
If RSTU is translated by the rule (x, y) ⇒ (x + 2, y - 10) the image R'S'T'U be located at the D. Third quadrant.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
From the given diagram, the coordinate of the vertex(T) is (- 4, 10).
Let, T' be the vertex when the quadrilateral is translated by the rule
(x, y) ⇒ (x + 2, y - 10).
Therefore, The translated coordinate of the vertex(T') is,
(- 4 + 2, 10 - 10).
= (- 2, 0).
So, The quadrilateral will lie in the third quadrant.
learn more about quadrilaterals here :
https://brainly.com/question/29934440
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What is the solution to the following system of equations?
4x + 2y = 6
x − y = 3
A. (2, 1)
B. (−2, −1)
C. (2, 4)
D. (2, −1)
A camper leaves camp and travels 4 miles west and 3 miles north. How far is the camper from his original starting point?
Answer:
5 miles
Step-by-step explanation:
To answer this question, use the following:
According to pythagorean theorem, the hypotenuse of the triangle, c, with legs a and b, can be found with the following equation:
[tex]a^2+b^2=c^2[/tex]
Thus plugging in 3 for a and 4 for b:
[tex]c^2 = 25[/tex]
[tex]c=5[/tex]
Solve for m.
m−14.6=9.74
m = 4.86
m = 23.34
m = 24.34
m = 25.34
Answer: m = 24.34
Step-by-step explanation:
first, move the constant to the right.
m = 9.74 + 14.6
then, simply calculate (add).
m = 24.34
Below is the graph of linear equation F(x)-2x-4
AL
1. Which point represents the grach's yntercept?
A. Part A C. Point
B. Parte D. Point
2 Which point represents the grach's recept?
A. Porta C. Point
B. Part 3
D. Ponto
1 Which ont represents the grach's 2007
A. Part C. Ponto
B Parts D. Point
Answer:
1. B. point B.
2. C. point C.
3. C. point C.
Step-by-step explanation:
1. In order to find the graph's y-intercept, we need to locate the point where the line crosses the y-axis. This will always happen at x=0, therefore, the y-intercept is located at point B (0,-4)
2. In order to find the x-intercept, we need to find the point where the line crosses the x-axis. This will generally happen when y=0, so that will be point C (2,0)
3. In order to find the graph's zero, we need to find the point where y=0. In other words, the graph's zero is the point where the function is equal to zero (the x-intercept) so this will br point C again (2,0)
What is less than 2 1/4
Answer:
2 1/8
Step-by-step explanation:
I don’t really understand your questio but my guess is 2 1/4
please help me get the question right away
Answer:
true
Step-by-step explanation:
hopefully this helps :)
Solve for x and all the missing angles.
(-11+3y)
(34+Y)
(37+y)°
Answer:
y=24; Angle 1: 61 degrees; Angle 2: 58 degrees; Angle 3: 61 degrees
Step-by-step explanation:
-11+3y+34+y+37+y=180 The sum of all the angles in a triangle is 180 degrees.
60+5y=180 Combine like terms
5y=120 Subtract 60 from 180
y=24 Divide 120/5
Angle 1: -11+ 3(24)= 61 degrees
Angle 2: 34+24=58 degrees
Angle 3: 37 + 24= 61 degrees
One litre of paint covers 1.5 square meters. How many litres must I buy so that I have enough to paint a wall 6 m long and 3 m high ?
Answer:
12 litres
Step-by-step explanation:
The area to be covered is
A = 6 × 3 = 18 m²
Divide the area by 1.5 for required amount of paint, that is
18 ÷ 1.5 = 12 litres
which is not solution to the folloeing linear equality
A. (-2, 1)
B. (0, 0)
C. (2, -1)
D. (-9, -9)
Answer:
B
Step-by-step explanation:
B
1
N
4
5
5
(4x+6)
(5x -5)
7
00
0
A
С
(3x + 8)
The value of x is
and the length of the base is
Answer: (2x + 3) • (x-1)
Step-by-step explanation:
1 Pull out like factors :
4x + 6 = 2 • (2x + 3)
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
(5x - 5) = 5 • (x - 1)
Fay opens a credit card with an APR of 15.25% compounded monthly. How much is charged in interest this month if her balance is $1,300? (4 points)
Answer:
total charge = $ 16.52
refer to the Attachment please :)
hope this helps you ^^"
BRANLIEST AND 50 POINTS
What is the prime factorization of 135?
3 × 5 × 9
3 × 5 3
3 2 × 5 2
3 3 × 5
Answer:
3×5×9
Step-by-step explanation:
It's the only answer that can be applied
But you have to expand it farther
2×5×9
2×3×3×5
Note:if you want the answer from your options the answer is 2×5×9
Otherwise 2×3×3×5