Answer:
The chef will use 120 milliliters of 11% vinegar, and 80 milliliters of 6% vinegar.
Step-by-step explanation:
Since a chef is going to use a mixture of two brands of Italian dressing, and the first brand contains 6% vinegar, and the second brand contains 11% vinegar, and the chef wants to make 200 milliliters of a dressing that is 9% vinegar, to determine how much of each brand should she use the following calculation must be performed:
100 x 0.11 + 0 x 0.06 = 11
90 x 0.11 + 10 x 0.06 = 10.5
80 x 0.11 + 20 x 0.06 = 10
70 x 0.11 + 30 x 0.06 = 9.5
60 x 0.11 + 40 x 0.06 = 9
200 x 0.6 = 120
200 x 0.4 = 80
Thus, the chef will use 120 milliliters of 11% vinegar, and 80 milliliters of 6% vinegar.
Riku says that a and b have the same value in the equations 0.75(a−2)=5.25 and 34b−32=214. Is Riku correct?
Answer:
riku is is wrong
Step-by-step explanation:
divide each term by 0.75
a-2=5.25/0.75
a-2=7
a=9
34b= 214+32
34b=246
b=123/17
or 7.235
therefore both answers are different
Please help me answer this
9514 1404 393
Answer:
a) zeros: -2/3, 6
b) x < -2/3, signs: -, -; sign of product: +
-2/3 < x < 6, signs: +, -; sign of product: -
x > 6, signs: + +; sign of product: +
c) solution: x < -2/3 ∪ x > 6
Step-by-step explanation:
a) The zeros of the product are the values of x that make either factor zero. (A product is only zero if one of the factors is zero.)
3x +2 = 0 ⇒ x = -2/3
x -6 = 0 ⇒ x = 6
The zeros of the quadratic are x = -2/3 and x = 6.
__
b) For values of x left of the left-most zero, both factors are negative. For values of x between the zeros, the left factor is positive and the right factor is negative. For values of x greater than the right-most zero, both factors are positive. That is, for large negative values of x, all factors are negative. Working left-to-right, each time a zero is crossed, one factor changes sign.
__
c) The solution is where the signs of the factors match:
x < -2/3 or -6 < x
how do i find the probability of getting a red 5 or a 6 when one card is randomly selected from an ordinary deck?
Answer:
2 in 52 simplified- 1 in 26
Step-by-step explanation:
HELP what's the distance for this question?
Answer:
[tex]Distance = 38.57ft[/tex]
Step-by-step explanation:
Given
[tex]Base = 60[/tex]
[tex]\theta = 50[/tex]
Required
The distance between the top and John
The distance is calculated using:
[tex]sin\alpha = \frac{Distance}{Base}[/tex]
Where
[tex]\alpha = 90 - \theta[/tex] --- the angle between the diagonal line and the vertical line
[tex]\alpha = 90 - 50[/tex]
[tex]\alpha = 40[/tex]
So, we have:
[tex]Sin(40) = \frac{Distance}{60}[/tex]
[tex]Distance = 60 * sin(40)[/tex]
[tex]Distance = 60 * 0.6428[/tex]
[tex]Distance = 38.57ft[/tex]
[tex]Distance = 986 * tan(38)[/tex]
[tex]Distance = 986 * 0.7812[/tex]
[tex]Distance = 770ft[/tex] --- approximated
please help me out ~ 20 points
Answer:
12.5 sq. units
Step-by-step explanation:
Area of a Trapezoid Formula: (see the image attached)
7.5 + 2.5 = 10
10/2 = 5
5(2.5) = 12.5
So, the area of the trapezoid is 12.5 sq. units.
what is the product of the Trinomial and the Binomial below
(x2+5x-2)(x-3)
Answer:
x3+2x2-17x+6.
Step-by-step explanation:
(x2+5x-2)(x-3)
= x(x2+5x-2)-3(x2+5x-2)
= x3 +5x2-2x-3x2-15x+6
Simplifying like terms:
= x3+2x2-17x+6
Which property justifies the statement below?
a(2b+c)=a(c+2b)
a. commutative property of addition
b. commutative property of multiplication
c. associative property of addition
d. distributive property
Answer:
d. distributive property
Step-by-step explanation:
What will be the total cost of treys on 2 truck when we the price of each trye is 35,00:00
Answer:
45$?
Step-by-step explanation:
What is sinK?
A. 12/13
B.13/12
C.5/13
D.5/12
Answer:
A. 12/13
Step-by-step explanation:
Remember SOH, CAH, TOA.
In this situation, the function is sine so sine= opposite/hypotenuse.
The side opposite of K is 12.
The hypotenuse is the longest side so it will be 13.
Therefore, sineK= 12/13(a)
Answer:
12/13
Step-by-step explanation:
Use the figure below to determine the exact value of the given function sin2 0
Answer:
sin2θ = [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Since, sin2θ = 2sinθcosθ
From the triangle given in the picture,
Opposite side of angle θ = 2 units
Adjacent side of angle θ = 3 units
Hypotenuse = [tex]\sqrt{2^2+3^2}[/tex] = [tex]\sqrt{13}[/tex] [By Pythagoras theorem]
sinθ = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{2}{\sqrt{13}}[/tex]
cosθ = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{3}{\sqrt{13} }[/tex]
sin2θ = [tex]2\times (\frac{2}{\sqrt{13}})(\frac{3}{\sqrt{13}})[/tex]
= [tex]\frac{12}{13}[/tex]
Scientists conducting a study on global climate change want to determine if there has been an increase in the number of days per year that the temperature in El Paso rises above 100 degrees. In 1981, there were 21 days (5.75%) where the temperature was in the triple digits. The scientists want to know whether this percentage has increased. Which pairs of hypotheses is the most appropriate for addressing this question?
Answer:
The percentage maybe went up because of air pollution, and global warming
Step-by-step explanation:
These triangles are
congruent by the
triangle congruence
postulate [? ]
Answer:
Option A
Step-by-step explanation:
From the picture attached,
In the given triangles ABC and ADC,
m(∠B) = m(∠D) [Given]
AC ≅ CA [Reflexive property]
But in the absence of third property of congruence ΔABC and ΔADC can't be congruent.
Option A is the answer.
What is 12 1/2 - 7 6/7?
Answer:
4 9/14
Step-by-step explanation:
Answer:
The answer is 4 9/14
Will mark Brainliest! What is the value of P. Thank you!
Answer:
question of number 10 is 3
Question 60/62 (3.p.)
KAH
ht
w
2011
Solve and choose the correct answer.
A water tank is in the form of a cylinder whose radiusis 2 m and length is
3.5 m. The quantity of water in litres that can be stored in the tank is
..
Answer:
Capacity of tank = 44,000 l
Step-by-step explanation:
Given:
Height of tank = 3.5 m
Radius = 2 m
Find:
Capacity of tank
Computation:
Volume of cylinder = πr²h
Volume of cylinder = (22/7)(2)²(3.5)
Volume of cylinder = 44 m³
1m³ = 1000 l
So,
Capacity of tank = 44 x 1,000
Capacity of tank = 44,000 l
there are 120 children standing in a line,every third gets a rubber, every fourth child gets ruler and every fifth gets a book. in what position is the first child that gets all 3 items?
Answer:
60th position is the first child that gets all 3 items
Step-by-step explanation:
Find the LCM of 3 , 5 and 4.
Least common multiple of 3 , 4 and 5 = 3 * 4 * 5 = 60
Answer:
3,6,9,12,
4,8,12,16,
5,10,15,
in 60th position
60is the first number that can be divided by 60/3=20 60/4=15 60/5=12
The political opinion organization hired 100 new employees, which increases its staff by 40%. What was the original number of employees?
Answer:
40(?)
I don't remember exactly if that's correct, but I hope it's right! Comment if you want the explanation
A sphere has a volume of 36(pi) in^3. What is the surface area in terms of Pi
Answer:
la verdad que depende de la situación
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
The farm raises some rabbits and native chickens. The number of native chickens is six times the number of rabbits, with a total of 560 feet. farm
Raised ? rabbit.
1)Apply the distributive property to solve the following.
(2 +19) x4
Answer:
Answer:
4x19+4x2 or 4x21
Step-by-step explanation:
If you multiply 4x19, you get 76. And if you multiply 4x2 you get 8. 76+8= 84
If you multiply 4x21 you get 84 also. Both of these answers are distributive property. (all it is, is different ways of solving the problem.)
Hope this helps! :)
You would like to have $10,000 in an account after eight years time. If the account earns 2.5% compounded interest yearly, how much would you have to deposit today
Answer:
You have to deposit $8,207.5 today.
Step-by-step explanation:
Compound interest:
The amount of money in yearly compounded interest, after t years, is given by the following equation:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which A(0) is the initial deposit and r is the interest rate, as a decimal.
You would like to have $10,000 in an account after eight years time.
This means that when [tex]t = 8, A(t) = 10000[/tex]
2.5% compounded interest
This means that [tex]r = 0.025[/tex]
So
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]A(t) = A(0)(1+0.025)^t[/tex]
[tex]A(t) = A(0)(1.025)^t[/tex]
How much would you have to deposit today?
We have to find A(0), when [tex]t = 8, A(t) = 10000[/tex]. So
[tex]A(t) = A(0)(1.025)^t[/tex]
[tex]10000 = A(0)(1.025)^8[/tex]
[tex]A(0) = \frac{10000}{(1.025)^8}[/tex]
[tex]A(0) = 8207.5[/tex]
You have to deposit $8,207.5 today.
Explain why the denominator does not change when you are counting by the
unit fraction 1
··4
to reach 3
··4 .
Answer: Your splitting 1 into 4 parts and I don't think anything here tells me you need to simplify bc then it would be, 1/2, which is not 3/4. It's like having one quarter that equals 25c, 50, 75, a 1.00, but it's 0.25 and 0.75?
Step-by-step explanation:
does anyone know the answer to this? 5x-(4+3x)
Answer:
2x-4
Step-by-step explanation:
5x-(4+3x)
5x-4-3x
5x-3x-4
2x-4
james has a recipe that calls for 6 cups of sugar he wants to use only 1/2 of the recipe today how much sugar will he need do you multiply or divide
answer:
he would use 3 cups of sugar and would need to multiply
step-by-step explanation:
since he only wants 1/2, we would multiply by the original amount6 X 1/2 = 3 cups of sugar
I got 49 will someone double check me please?!
Answer:
m<YVX = 49°
Step-by-step explanation:
Given:
m<YVZ = 52°
m<ZVW = 36°
m<XVU = 43°
m<YVX + m<YVZ + m<ZVW + m<XVU = 180° (angles in a straight line)
m<YVX + 52 + 36 + 43 = 180 (substitution)
m<YVX + 131 = 180
m<YVX = 180 - 131
m<YVX = 49°
True or false. Explain.
The volumes of a rectangular-based pyramid and a triangular-based pyramid with congruent heights and equal base areas are equal
Answer:
true
Step-by-step explanation:
Help please will mark brainliest
Whoever solves this correctly will get the brainiest
Answer:
43
Step-by-step explanation:
Solve for c.
a = 11 + 4b – 4c
Answer:
c would be equal to 2948. hope that helps
Answer:
[tex]c=b-\frac{a}{4} +\frac{11}{4}[/tex]
Step-by-step explanation:
[tex]a=11+4b-4c \\a-11=4b-4c\\a-11-4b=-4c\\-\frac{a}{4} +\frac{11}{4} +b=c[/tex]
Rearranging the terms to make it look cleaner, we get:
[tex]c=b-\frac{a}{4} +\frac{11}{4}[/tex]
Peggy took a timed 30
question test. She answered
60% of the questions and
skipped the rest. How many
did she answer?
Answer: 18 questions
Step-by-step explanation:
First we want to make 60% a decimal so we divide by 100.
This gives us 0.6
Then we multiply 30*0.6=18
18 questions