240 teaspoons of crushed garlic is needed for 120 servings of Caesar dressing. While 162 ounces of flour is needed for 54 servings of fried fish
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Each serving takes 2 teaspoons of crushed garlic, hence for 120 servings:
number of teaspoons needed = 120 * 2 = 240
Each serving takes 3 ounces of flour, for 54 servings:
number of flour needed = 54 * 3 = 162 ounces
240 teaspoons of crushed garlic is needed for 120 servings of Caesar dressing. While 162 ounces of flour is needed for 54 servings of fried fish
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Students were surveyed about their favorite colors. of the students preferred red, of the students preferred
blue, and of the remaining students preferred green. If 15 students preferred green, how many students were
surveyed?
An expression is shown below:
f(x) = 2x² − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
(10 points)
Part A
[tex]2x^2 -x-10=0\\\\(x+2)(2x-5)=0\\\\x=-2, \frac{5}{2}[/tex]
So, the x-intercepts are (-2,0) and (5/2, 0).
Part B
The vertex will be a minimum because the leading coefficient of the quadratic is positive, meaning the graph will open up.
The vertex has an x-coordinate that is the average of the roots, which in this case is 1/4.
[tex]f(1/4)=-81/8[/tex]
So, the coordinates of the vertex are [tex]\left(\frac{1}{4}, -\frac{81}{8} \right)[/tex]
Part C
Plot the two x-intercepts and the vertex. Then, draw a parabola through these points that opens up.
2(1/2 w -4) ≤-(w-5)
HELP FAST
2(1/2 w -4) ≤-(w-5)
Use the distributive property:
w-8 ≤ -w + 5
Add 8 to both sides:
w ≤ -w + 13
Add w to both sides:
2w ≤ 13
Divide both sides by 2:
w ≤ 13/2
Answer:
w ≤ 13/2
Step-by-step explanation:
2(1/2w - 4) ≤ -(w - 5)
w - 8 ≤ -w + 5
w - 8 + w ≤ -w + 5 + w
2w - 8 ≤ 5
2w - 8 + 8 ≤ 5 + 8
2w ≤ 13
2w/2 ≤ 13/2
w ≤ 13/2
I need help please!!!!!!
Tom completed the problem below incorrectly.
Explain what mistake he made. ALSO include the
correct answer.
23 - 8.2 + 3
23 - 16 + 3
23 - 19
4
Answer:
12
Step-by-step explanation:
He went wrong when he did 16 + 3 first when he should have done 23 minus 16 which is 9. Then 9 plus 3 equals 12.
a bus traveled on a road for 3 hours at an average speed 20 miles per hour faster than it traveled on a winding road the time spent on the winding road was 5 hours. find the average speed on the level road if the entire trip was 316 miles
Answer:
39.5
Step-by-step explanation:
Which numbers round to 7.91 when rounded to the nearest hundredth
If the last digit in the fractional part of 7.910 is 5 or more and the second digit in the fractional part is 9, and the first digit in the fractional part is 9, then add 1 to the integer part and make the fractional part 00
Answer: 7.914 7.905 7.909
Step-by-step explanation:
i hope this helps
if it did pls mark brainliest
Name the angle in three different ways
Answer:
angle WVU
angle UVW
angle VUW
Step-by-step explanation:
49 rounded to the nearest hundred
5+8(-2-23) plz help out with this one
Answer:
-195
Step-by-step explanation:
-2 - 23 = -25 x 8 = -200 + 5 = -195
Find the area of this figure. round your answer to the nearest hundredth.
Answer:
49.12 ft^2
Step-by-step explanation:
The triangle:
Area = 1/2 * base * height
= 1/2 * 6 * 8
= 24
The semicircle:
Area = 1/2 * 3.14 * 4^2
= 25 .12
Total area = 24 + 25.12
= 49.12 fT^2
In the following sequence, the figures are made of cubes that are glued together. If the exposed surface needs to be painted, how many squares will be painted in (a) the 15th figure? (b) the nth figure?"
squares painted
a. The 15th figure will have
(Type a whole number)
A standard solid with six square faces, in Euclidean Geometry; that is a normal hexahedron. Themes connected: Polyhedron. Since a cube's volume is represented, the cube of that quantity is called in arithmetic and algebra, in terms of edge e, and [tex]e^3[/tex], and the further calculation can be defined as follows:
When there is 1 cube then the number of surfaces[tex]\bold{=6}[/tex]When there is 2 cube then the number of surfaces [tex]\bold{=6 \times 2-2}[/tex]When there is 3 cube then the number of surfaces [tex]\bold{=6 \times 3-2\times 2}[/tex]So, when n cubes are there
[tex]\to \bold{=6\times n-2(n-1)}[/tex]
[tex]\bold{=6n-2n+2}\\\\\bold{= 4n+2}[/tex]
when n=15 then:
[tex]\to \bold{=6\times 15-2(15-1)}[/tex]
[tex]\bold{=90-30 +2}\\\\\bold{=60+2}\\\\ \bold{=62}[/tex]
So, the final answer is "62 and 4n+2".
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A Christian relief agency is sending two types of medical supply boxes overseas. The original plan is to send 3 boxes of medicines and 7 boxes of non-medicine supplies worth a total value of $9,000. Shortly before the supplies are shipped, the agency receiving the supplies communicates that they only need 2 boxes of medicines. If a box of non-medicine supplies is worth $300, how many boxes of non-medicine supplies can be sent if only 2 boxes of medicine are included in the shipment
The number of non-medicine that can be sent is approximately 14 boxes.
From the given statement we can form the following equation:
let the worth of a boxes of medicine = x
3x + 7(300) = 9,000
solve for x:
3x + 7(300) = 9,000
3x + 2,100 = 9,000
3x = 9,000 - 2,100
3x = 6,900
[tex]x = \frac{6,900}{3} = 2,300[/tex]
A box of medicine worth $2,300
If only 2 boxes of medicine will be sent, then the number of boxes of non-medicine is calculated as;
let the worth of all the boxes of non-medicine = y
2(2,300) + y = 9,000
4600 + y = 9,000
y = 9,000 - 4600
y = 4,400
Now we solve for the number of boxes of non-medicine as follows:
n(300) = 4,400
[tex]n= \frac{4400}{300} = 14.67 \approx 14 \ boxes \ of \ non-medicine \ can \ be \ sent[/tex]
Thus, the number of non-medicine that can be sent is approximately 14 boxes.
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How will you know if the equation opens vertically or horizontally?
Step-by-step explanation:
If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left
Answer:
If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.
Hope you got it
If you have questions just ask me
One-third of a group of people are men. If the number of women is 200 more than the men, find the total number of people
Answer:
[tex]total \: people =x \\ no \: of \: men = one \: third \: ofx[/tex]
Step-by-step explanation:
men=1/3×
women=1/3×+200
total people=1/3×+1/3×+200
If you can make 12 cookies in 10 minutes, how long does it take to make 200 cookies
Answer:
12 cookies = 10minutes
200 cookies = x minutes
cross multiply
200×10 = 12x
2000= 12x
divide both sides by 12
X = 166.67 minutes
Step-by-step explanation:
that is 200 cookies will take 166.67 minutes
Answer:
[tex]12 \: cookies \: in \: 10 \: minut \: \\ 1 \: cookie \: in \: \frac{10}{12} = \frac{5}{6} \: minute \\ for \: 200 \: cookies = \frac{5}{6} \times 200 = 166.67 \: minute \\ thank \: you[/tex]
HELP ME OUT PLEASE!!
This visual representation shows the sets of real numbers Which statement is true regarding the number sets?
Rational numbers and irrational numbers have no numbers in common
O All rational numbers are also irrational numbers
O Some irrational numbers are also rational numbers
All irrational numbers are also rational numbers.
Answer: A
Step-by-step explanation: I took the test going by guesses and this was right
Rational numbers and irrational numbers have no numbers in common. Then the correct option is A.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
Natural numbers are those in algebra that are utilized for counting and ordering. Cardinal digits are those used for accounting, while ordinal numbers are those used for ranking.
This visual representation shows the sets of real numbers.
Rational numbers and irrational numbers have no numbers in common. Then the correct option is A.
More about the rational number link is given below.
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which of the following is NOT a way to decompose 5/6? a. 1/6+1/6+1/6+1/6+1/6. . 2/6+3/6. c. 2/6+1/6+1/6. d. 1/6+4/6
Answer:
The answer is C
Step-by-step explanation:
Just add the top numbers and keep the bottom number.
a:1/6+1/6+1/6+1/6+1/6=5/6.
b:2/6+3/6=5/6
d:1/6+4/6=5/6
c:2/6+1/6+1/6=4/6
C does not equal 5/6.
I hope this helped!
Answer:
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give you up
Never gonna let you down
Never gonna run around and desert you
Never gonna make you cry
Never gonna say goodbye
Never gonna tell a lie and hurt you
Never gonna give, never gonna give
(Give you up)
Step-by-step explanation:
Which sets of angles listed are complementary in this diagram?
Answer:
Hello
AEF and FED
AEG and CEG
= 90°
Find hcf and lcm of :
3x(x²+2x+y²)and 6y(x²-y2)
Answer:
I HOPE IT WILL HELP YOU A LOT.
REALLY STRUGGLING PLS HELP
giving brainliest
Answer:
Option A
Step-by-step explanation:
v + w
{-9,2} + {1,-6}
{-9 + 1},{2 + (-6)}
{-8}, {2 - 6}
{-8},{-4}
Pamela stopped at 1.8 mile marker. where will she be if she walks one tenth of a mile towards camp?Explain
Answer:
Either 1.9 or 1.7, depending on where the camp is.
Step-by-step explanation:
1 tenth of a mile is .1 miles, so if she is moving towards the camp and the 1.8 mile marker is increasing (most likely) then she will be at 1.9 miles.
The reverse if she is moving away.
8 Hundred Thousands equals how many Ten Thousands
Answer:
800,000=8,00,000 in Indian system.
Eight Hundred Thousands(800,000)=Eight Lakh(8,00,000)
in Indian system.
simplify this (10^-2)^4
Answer:
10^-8
that is the answer
Answer:
its A
Step-by-step explanation:
im not slow
Billy had 2 books at home. He went to the library to take out 2 more books. He then bought 1 book. How many books does Billy have now?
Answer:
5
Step-by-step explanation:
2 books at home
2 more books from the library
1 more book he bought
2 + 2 + 1 = 4 + 1 = 5
Answer: 5
Somebody help ? Please, picture above
Answer:
sorry im not really sure
Step-by-step explanation:
what grade are you in, i might be able to help.. my sister might know this
Answer:
I think it's D
Step-by-step explanation:
I added 49, 18, and 22 together and got 89. The square root of 89 was 9.43 which is between 9.3 and 9.5
what is the inverse of y = 2x
Answer:
........the inverse is 2x = y
find Q - P given the following sets : P= {b,d,f,g} Q= {a,b,c,d} R= {c,e,f,g} S= {a,d,g}
What is -1 7/8 + -2 1/4? Please explain why and a step by step :).
Answer:
-33/8= -4 1/8= -4.125
Step-by-step explanation:
step 1: Add (-1 7/8) + (-2 1/4)= -33/8
Step 2: convert the mixed number to improper fraction
− 1 7/8 = (1x8/8 + 7/8) = - 8+7/8 = -15/8
Step 3: Add a negative
-15/8 +(-9/4) = -15/8 - 9/4
Adding a negative is the same as subtracting a positive btw
step 4: Find the common denominator
-15/8 - 9/4 = -15x1/8x1 - 9x2/4x2 = -15/8 -18/8
8 is the least common multiple of denominators 8 and 4. Use it to convert to equivalent fractions with this common denominator.
step 5. Simplify
-33/8 = -4 1/8
A. Simplify, sub-step a: Reduce fraction to lowest terms.
Reduce fraction to lowest terms
1 is the greatest common divisor of 33 and 8. The result can't be further reduced.
B. Convert improper fraction to mixed number
-33/8 = 04 1/8
33 ÷ 8 = 4 remainder 1
Answer:
The solution is -4 1/8 or -33/8
Step-by-step explanation:
[tex] \sf - 1\frac{7}{8} + ( - 2 \frac{1}{4} ) \\ \\ = \sf - \frac{15}{8} - \frac{9}{4} \\ \\ = \sf \frac{ - 15 - 9(2)}{8} \\ \\ = \sf \: = \frac{ - 15 - 18}{8} \\ \\ = \sf - \frac{33}{8} \\ \\ = \sf - 4 \frac{1}{8} [/tex]
Susan divided 38.08 by 23.80
Answer:
1.6. :)
Step-by-step explanation:
3(X + 9) + 2 = 3X + 32
Answer:
No solution.
Step-by-step explanation:
3(x + 9) + 2 = 3x + 32
3x + 27 = 3x + 32
3x + 27 - 3x = 3x + 32 - 3x
27 ≠ 32
