Panchito discovered the summer’s most refreshing beverage by mixing a 80% cranberry juice with a 4% of orange juice. How much of each should he mix together to make 190 ml of a 60% cranberry-orange juice blend
Answer:
Quantity of cranberry juice = 95 ml
Quantity of orange juice = 95 ml
Step-by-step explanation:
Step 1
Given ,
We have 80% cranberry juice and 4% of orange juice.
We have to find how much each should be mixed to make 190 ml of a 60% cranberry-orange juice blend.
Step 2
Let's assume
Quantity of cranberry juice =x ml
Quantity of orange juice =y ml
Then,
x + y = 190
and
x×80100 +y×4100 = 190×60100
⇒ 0.8x+0.4y = 114
⇒ 2x+y = 285
⇒ y = 285−2x
Step 3
Substituting y = 285−2x in x + y = 190
⇒ x+285−2x = 190
⇒ −x = 190−285
⇒ −x = −95
⇒ x = 95 ml
Substituting x = 95 in x + y = 190
⇒ 95 + y = 190
⇒ y = 190−95
⇒ y = 95 ml
So,
Quantity of cranberry juice =95 ml
Quantity of orange juice = 95 ml
For every hour that Jill worked, she made $10
Write an equation to model how much money she can make.?\
HELP
Answer how many hours did she work?
Step-by-step explanation:
What is the answer
a3-c + b, when a=3,b=6, c=8
Answer:
The answer is 25
Step-by-step explanation:
Plsss help!!!
Evaluate for C when F =77º
C = 5/9 (F – 32)
A. 25
B. 45
C. 60
D. 80
Answer:
A. 25°C
Step-by-step explanation:
C=5/9(77-32)
C=5/9(45)
C=25°C
To convert from Celsius to Fahrenheit. We apply the following formula:
[tex]\bf{^{\circ}C= \dfrac{5}{9}(^{\circ}F-32) \ \longmapsto \ Formula }[/tex]
We substitute the number 77 where the Fahrenheit degrees are, and we are left with the following form.
[tex]\bf{^{\circ}C= \dfrac{5}{9}(77-32) \ \longmapsto \ \ Subtract \ 32 \ from \ 77. }[/tex]
[tex]\bf{^{\circ}C= \dfrac{5}{9}\times45 \ \longmapsto \ \ Multiply \ 5*45, divide \ by \ 9 }[/tex]
[tex]\bf{^{\circ}C=25}[/tex]
So 77 Fahrenheit, on the Celsius scale is 25.So the correct alternative is option "A".
are they parallel???????????????
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radius of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104
The radius of the circle is 8 inches when the sector of a circle has an area of 104pi/9 square inches.
What is a sector of a circle?A sector is said to be a part of a circle made of the arc of the circle along with its two radii. It is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
Which is the radius of a circle?Radius of a circle is the distance from the center of the circle to any point on it's circumference.
Area of a sector = [tex]\frac{\theta}{360} \pi r^2[/tex]
[tex]\text{Given area = }\frac{104\times \pi}{9}=\frac{65}{360}\times \pi r^2\\\\\frac{104}{9}=\frac{65}{360} \times r^2\\\\r^2=\frac{37440}{585}\\\\r=8.001[/tex]
Hence, option b is correct, that is the radius of the circle is 8 inches.
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The mean length of 9 childrens' big finger is 6.8cm.
The mean length of 3 adults' big finger is 11cm.
What is the mean length (rounded to 2 DP) of these 12 people's big finger?
Answer:
The mean length of these 12 people's big finger is of 7.85 cm.
Step-by-step explanation:
Mean value:
Sum of the values of all observations divided by the number of observations.
In this question:
9 + 3 = 12 total observations
Sum:
[tex]9*6.8 + 3*11 = 94.2[/tex]
So
[tex]M = \frac{94.2}{12} = 7.85[/tex]
The mean length of these 12 people's big finger is of 7.85 cm.
Quickly pls
The trinomial 2x2 + 13x + 6 has a linear factor of x + 6.
2x2 + 13x + 6 = (x + 6)(?)
What is the other linear factor?
x + 3
x + 6
2x + 1
2x + 3
Answer:
C. 2x + 1
Step-by-step explanation:
Answer:
Answer is: C. (on edge 2023)
Step-by-step explanation:
2x + 1
True or False: x is the same/equal to 1x
Answer:
Yes
Step-by-step explanation:
Because you're multiplying by 1 so it stays the same value
Convert these improper fractions into mixed numbers.
5/4
Answer:
1 1/4
Step-by-step explanation:
4/4 + 1/4 = 5/4
4/4 = 1
so 1 1/4
Answer: 1 1/4
Step-by-step explanation: first we have to find the whole number then we divide the numerator and the denominator. then we are only interested in the whole numbers so we ignore the one to the right of the decimal. then we will used the whole number we calculated in step one and multiply it by the original denominator then is subtracted from original numerator. our next step is to simplify. then when that down we need to calculate the greatest common factor.
what is the value of x?
2
3
6
7
Which of the following are dependent events? Select all that apply.
You draw a marble from a bag, replace it, and draw again.
You flip a coin and roll a number cube.
You draw two numbers from 1 to 10 from a hat without replacing them first.
You randomly choose two socks from a drawer, hoping they will match.
Answer: all
Step-by-step explanation:
Answer: You randomly choose two socks from a drawer, hoping they will match.
You draw two numbers from 1 to 10 from a hat without replacing them first.
Step-by-step explanation:
dependent events: compound events in which one event affects the likelihood of the other event
independent events:compound events in which one event does not affect the likelihood of the other event
A complex shape made of 2 rectangles. The top rectangle measures 4 centimeters by 4 centimeters. The bottom rectangle measures 6 centimeters by 10 centimeters.
What is the area of the shape?
40 square centimeters
76 square centimeters
100 square centimeters
224 square centimeters
Answer:
B. 76 square centimeters
Step-by-step explanation:
Edg 2021 it's correct
Answer:
Step-by-step explanation:
b
The area of a circle is 4πm2 What is the circumference , in meters ? Express your answer in terms of π
Answer:
4(pie)m^2
Step-by-step explanation:
area of a circle is r^2(pie)
so if the area of the circle is 4(pie) set that equal to r^2(pie)
the pies' cancell
and you are left with 4=r^2
r=2
now the formula for the circumference is
2r(pie)
insert 2 for r
2(2)(pie)
4(pie)m^2 is the circumference
Hope that helps :)
By applying Pythagorean theorem to the sides of the right triangle, which has sides as a, b and c, where c is the
hypotenuse, we get
a.) c^2= a^2+ b^2
b.) c^2= a^2– b^2
c.) c^2= a^2 - b
d.) c^2= a^2+ b
=
[tex]c {}^{2} = a {}^{2} + b {}^{2} [/tex]
where,
[tex]c = hypotenuse[/tex]
[tex]a = perpendicular[/tex]
[tex]b = base[/tex]
Hope it helps
HELP PLSSSSS I BEG YOUUUUUUUUUUUUUUUUU
Answer:
just shade in the same thing
just shade in the same thing
balance the equation showing all 6 steps. 200=g-180
Answer:
g = 380
Step-by-step explanation:
200 = g - 180
You add 180 to both sides
200 + 180 = g
380 = g
Hope that helps!
PLEASE ANSWER QUICKLY THX
this is harder than 1213321+2143 jk
HELP ASAP I WILL MARK BRAINLIST!!!!
Answer 25 degrees
Step-by-step explanation:
90-65 =25
I am so smart lol lol lollololololololololollololololololollolololololollololo
Answer:
2. c. 1/2
3. d. 13/16
5. d. 5/12
1. b. simplified
4. b. Nicholas did not divide the numerator and..............
Answer:
i know it’s been months since you posted this question but...
Step-by-step explanation:
2. c) 1/2, 9/18 / 9 = 1/2
3. d) 13/16, 26/32 / 2 = 13/16
5. d) 5/12, 10/24 / 2 = 5/12
1. b) simplified, you can’t simplify 8/9, it’s already smaller.
4. b) Nicholas did not divide the numerator and denominator by the same number, the GCF [greatest common factor]. 4/5 is not equivalent to 20/30. He should have divided by 10. 20/30 = 2/3.
why does that say 20/24 tho?- i think it meant 20/30.
i hope this helped! also, a definition of gcf:
GCF - A set of numbers' greatest common factor (GCF) is the largest factor that all of the numbers share. Twelve, twenty, and twenty-four, for example, all have two common factors: two and four. The GCF of 12, 20, and 24 is 4 since the highest is 4. The GCF method is often used to identify common denominators.
Compare the graphs of the functions listed below.
Function 1: y = 0.25x2
Function 2: y = 4x2
Function 3: y = -½x2
Function 4: y = -16x2
The graph of is the widest.
Answer:
The graph of FUNCTION 1 is the widest.
Step-by-step explanation:
So sorry lolll. But this is definitely right
• En un vuelo con 200 pasajeros que se
dirigía a Miami, algunos pasajeros (clase
económica) pagaron $200.00 y otros
(primera clase) $250.00 por sus boletos
de avión. Si los ingresos por concepto de
venta de boletos en ese vuelo fueron de
$44,000.00, ¿cuántos boletos se
vendieron de cada categoría?
Answer:
1356545986--&_67ghtyojioftu?fuñt?fufldtuñf
what is the slope of the line y=4?
Answer:
there is no slope, or a slope of 0.
Step-by-step explanation:
The director of a customer service center wants to estimate the mean number of customer calls the center handles each day, so he randomly samples 29 different days and records the number of calls each day. The sample yields a mean of 279.4 calls with a standard deviation of 25.1 calls per day. He can be 99% confident that the mean number of calls per day is between 266.5 and ________. (Round your answer to 1 decimal place.)
Answer:
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
Step-by-step explanation:
Confidence interval:
A confidence interval is symmetric, which means that the difference between the sample mean and the lower bound is the same as the difference between the upper bound and the sample mean.
In this question:
Sample mean: 279.4 calls
Lower bound: 266.5 calls
Upper bound: x calls
Due to the symmetry of the confidence interval:
[tex]x - 279.4 = 279.4 - 266.5[/tex]
[tex]x = 12.9 + 279.4[/tex]
[tex]x = 292.3[/tex]
So
He can be 99% confident that the mean number of calls per day is between 266.5 and 292.3.
How do you write 0.00000058 in scientific notation
Answer:
5.8 x 10^-7
Step-by-step explanation:
Answer:
5.8 * [tex]10^{-7}[/tex]
Step-by-step explanation:
Move the decimal so there is one n zero digit to the left of the decimal point. The number of decimal places you moved will be the exponent on the 10. If the decimal moves to the right, the exponent will be negative. If it moves to the left, the exponents will be positive.
Need help immediately! I can't do this it's way too hard and I don't get it because I missed class today! Someone, can you please do all of them for me?
Answer:
I cant see that pdf you attached maybe tell me what questoin you are asking?
Can y’all please help me out?
Answer:
19.5 degrees
Step-by-step explanation:
180 - (33.5 + 127) =
180 - 160.5 =
19.5
Hope that helps!
The dj charges $35 for 1/2 hour. If the school hires him for a dance that lasts 3 1/2 hours, how much will the dj earn
Answer:
$245
Step-by-step explanation:
Step-by-step explanation:
$35 / 1/2=x / 3 1/2Divide 35 by 1/2 by multiplying 35 by the reciprocal of 1/2.
35*2=x / 3*2+1/2
Multiply 35 and 2 to get 70.
70=x / 3*2+1/2
Divide x by 3*2+1/2 by multiplying x by the reciprocal of 3*2+1/2.
70=x*2/3*2+1
Multiply 3 and 2 to get 6.
70=x*2/6+1
Add 6 and 1 to get 7.
70=x*2/7
Swap sides so that all variable terms are on the left-hand side.
x*2/7=70
Multiply both sides by 7.
x*2=70*7
Multiply 70 and 7 to get 490.
x*2=490
Divide both sides by 2.
x=490/2
Divide 490 by 2 to get 245.
x=245
Out of numbers: 5, 7, 21, 25, 28, 35, 42, 56, 75, and 80, choose those which are not factors of 42
Answer:
5, 25, 28, 35, 56, 75 80 are not the factors of 42
How many terms does the expression m/5+ 4 x 6 have?
The number of terms in the expression m/5+ 4 x 6 are three.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is m/5+ 4 x 6
m by five plus four multiplied with six
In the given expression plus divide and multiplication are the operators
m is the variable
m/5 is the first term
four is the second term
six is the third term
There are three terms in the expression.
Hence, the number of terms in the expression are three.
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