a recipe which yields 5 serving calls for 2 cups of milk. how many cups of milk are needed to make 9 servings?
Answer:
3.6 cups of milk
Step-by-step explanation:
Create a proportion where x is the number of cups of milk needed for 9 servings:
[tex]\frac{5}{2}[/tex] = [tex]\frac{9}{x}[/tex]
Cross multiply and solve for x:
5x = 18
x = 3.6
So, 3.6 cups of milk are needed to make 9 servings.
test the validity of the following whenever he participates in a race, he is the winner. either he participates in the race or he is sick he is not the winner. therefore he is sick
The test of validity is used to determine whether a claim is true or not, based on certain condition(s).
The validity of the given statement is true.
From the question, the given condition is:
Whenever he participates in a race, he is the winner
This can be interpreted as follows:
He wins all races he participates in.He doesn't win a race he doesn't participate in.So, if he is sick; it means that he does not participate in the race and as such he is not the winner.
Hence, the validity of the following statement is true
"Either he participates in the race or he is sick he is not the winner, therefore he is sick."
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The product of 9 and 4 is divided by 6 .Make mathematical expressions and simplify
Answer:
The answer is 6
Step-by-step explanation:
9×4/6
=36/6
=6.
Devaughn is 6 years younger than Sydney. The sum of their ages is 46 . What is Sydney's age?
52
if im wrong, sorry
if im right, yay
If angle DEG is 8x + 14 and angle GEF is 8x - 7, the measure of angle DEG is ___ degrees.
Answer:
100.5
Step-by-step explanation:
As it's a straight line, the angles should add up to 180. So 8x+14+8x-7=180, 16x+7=180, x=10.8125, DEG will be 8x+14=100.5
What is a rational number between -1/5 and -2/5?
Answer:
-1/4
Step-by-step explanation:
-0.25
WILL GIVE BRAINLIEST!!
find x
5x-3(x-8)=2x-4
Answer:
no solution
Step-by-step explanation:
5x-3(x-8)=2x-4
Distribute
5x -3x+24 = 2x-4
Combine like terms
2x +24 = 2x-4
Subtract 2x from each side
2x+24-2x = 2x-4-2x
24 = -4
This is not a true statement so there is no solution
Answer:
No Solution
Step-by-step explanation:
5x-3(x-8)=2x-4
1) Distribute:
5x -3x+24 = 2x-4
2) Simplify:
2x +24 = 2x-4
3) Subtract 2x from both sides
2x+24-2x = 2x-4-2x
We are now left with (after simplifying): 24 = -4
**NO SOLUTION!**
Plz help
Elimination method
1.
3x-5y=3
4x-15=-21
2. 1000 tickets were sold for a school play. The regular price tickets were $5. Tickets for reserved seating was $2 more. The box office took in a total of $5300. How many tickets of each type were sold?
Answer:
1. (6,3)
2. x = 850, y = 150
Step-by-step explanation:
1. 3x-5y=3
4x-15y=-21
-9x +15y=-3 (multiply by -3)
4x-15y=-21
-5x=-30
x = 6
3(6)-5y=3
18-5y=3
-5y= -15
y= 3
so, x = 6, y = 3
2.
let x be regular
let y be reserved
x+y=1000
x= 5, y= 5+2=7 ("2 dollar more")
5x+7y=5300
x+y=1000
use the elimination method
x=850, y=150
so, the regular tickets were 850 and reserved tickets were 150 sold.
Taylor and Anya live 36 miles apart.On Some Saturdays.They ride theirs Bikes toward each other's houses and meet somewhere in between. Taylor is very Consistent rider she finds that her speed is always close to 12.5 miles per hour.Anya rides more slowly than Taylor, but she is working out and is becoming a faster rider as the weeks go by.On a Saturday in July, the two friends set out on their bikes at 8 a.m.Taylor rides at 12.5 per hour and Anya rides at 5.5 miles per hour.After one hour, how far apart are they? Show your work and Explain your Answer.
At What Time will the two friends meet?How do you know? Show your Work and Explain your Answer.
Answer:
Taylor and Anya will meet at 10:00 a.m.
Step-by-step explanation:
If Taylor rides at 12.5 mph (miles per hour), and Anya rides at 5.5 mph (miles per hour), then we need to combine these ratios to see how far apart they will be in one hour.
12.5 mph + 5.5 mph = 18 miles
Therefore, after an hour, Anya and Taylor are 18 miles apart.
Since there houses are 36 miles apart, and 18 x 2 = 36, then we can infer that it will take two hours, two times the time it took for them to finish halfway of their journey, for them to meet.
8:00 a.m. + 2 hours = 10:00 a.m.
Therefore, Taylor and Anya will meet at 10:00 a.m.
BRAINIEST TO WHOEVER RIGHT
Answer:
(-6,6)
Step-by-step explanation:
1. View The Truth Behind the Golden Ratio video (https://youtu.be/92ZiDsOf2z0)
for additional examples of
the Golden Ratio. Select your favorite example from the video (or your own
research) and explain why this specific example is so interesting to you.
(Possible keywords: the golden ratio + in nature, + in art, + in the human
body, + in geometry).
2. Now that you know more about the Golden Ratio, do you believe its
common presence shows evidence of a grand design within the universe or
is it simply a coincidence? Explain why you feel that way.
3. How does this topic reinforce or change your belief about the application of
math to your daily life?
According to the the video, the Golden Ratio is a figure in mathematics theorized by mathematicians as a value that indicates natures beauty symmetry
[tex]\mathbf{The \ value\ of \ the \ Golden \ ratio \ is \ \phi} = \mathbf{\dfrac{1 + \sqrt{5} }{2} }[/tex]
Good examples of the Golden Ratio in art and architecture is the Great Pyramid of Giza, constructed in 2570 B.C. and the temple of Parthenon for which construction began in 447 BC and the decoration completed in 432 BC
The reason the temple of Parthenon is so interesting is that the temple just like the pyramid were meant to last indefinitely, such that they can only be made to last so long by the deities, as such by building using the Golden Ratio found in nature including the spiral galaxies, is in recognition of nature's beauty which is aesthetically pleasing to the eyes, harmonious, and maybe preservative
2. The common presence of the Golden Ratio in the universe can be seen as both a grand design and a coincidence, however, due to the higher prevalence than random occurrence, it can be taken as a design that can be observed in nature
3. The topic helps reinforce the belief in the application of math to daily life, because it is a good portrayal of how math can contribute to all aspect of human life
Learn more about the Golden Ratio here:
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Answer:
Step-by-step explanation:
for additional examples of the Golden Ratio. Select your favorite example from the video (or your own research) and explain
why this specific example is so interesting to you. (Possible keywords: the golden ratio + in nature, + in art, + in the human body, + in geometry).
A number consists of three digits, 9,5 and another. If these digits are reversed and then subtracted from
the original number, an answer will be obtained consisting of the same digits arranged in a different order
still. What is the other digit?
Answer:
1
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Find the present balance.
Below is Elizabeth Hallett's bank statement. Her previous balance was $271.31 What is her present balance?
[tex]\\ \rm\longmapsto 115.90+115.90+345.85[/tex]
[tex]\\ \rm\longmapsto 231.80+345.85[/tex]
[tex]\\ \rm\longmapsto 577.65[/tex]
Debited amount:-[tex]\\ \rm\longmapsto 25.85+2.00[/tex]
[tex]\\ \rm\longmapsto 27.85[/tex]
Checked amount:-[tex]\\ \rm\longmapsto 19.45+21.02+95.98[/tex]
[tex]\\ \rm\longmapsto 117+19.45[/tex]
[tex]\\ \rm\longmapsto 136.45[/tex]
Total change in balance[tex]\\ \rm\longmapsto 577.65-(27.85+136.45)[/tex]
[tex]\\ \rm\longmapsto 577.65-191.3[/tex]
[tex]\\ \rm\longmapsto 386.35[/tex]
Now
Current balance[tex]\\ \rm\longmapsto 386.35+271.31[/tex]
[tex]\\ \rm\longmapsto\$ 657.66[/tex]
A taxi company charges passengers $2.00 for a ride, no matter how long the ride is, and an additional $0.20 for each mile traveled. The rule c = 0.20m + 2.00 describes the relationship between the number of miles m and the total cost of the ride c. What is the charge for a 1-mile ride?
Answer:
$2.20
Explanation:
For every mile $0.20 is charged
The base fee is $2.00
If you travel 1 mile, you get charged $0.20 along with the base fee of $2.00
2.00 + 0.20 = 2.20
Miguel made 6 1/2 gallons of chill for a party. His guest ate 4 3/16 gallons. How many gallons of chill were left?
Answer:
2 5/16
Step-by-step explanation:
step by step instructions are in pic below
Find the measure of the missing angle.
124 degrees
117 degrees
106 degrees
127 degrees
Answer:
measure of missing angle is 127°
Step-by-step explanation:
let the missing angle be'x'
53°+x=180°{ straight angle }x=180-53x=127°hope it helps.stay safe healthy and happy...Answer:
The missing angle is 124°.
Step-by-step explanation:
Let the missing angle be x°.
53° + x° = 180° ( straight angle )
x° = 180° - 53°
x° = 137°
Hope it is helpful.....Three years back, afather was 24 years older than his son at present the father is 5 times as old as the son how old will the son be three years from now?
Answer:
Let current age of father be x and current age of his son be y.
So 3 years ago, difference between their age was 24.
Therefore equation becomes
(x-3)-(y-3) = 24.
x - y = 24.
At present father is 5 times as old as son.
x = 5y.
Therefore 5y - y = 24.
y = 6.
Current age of son is 6 years. So after three years he will be 9 years old.
Step-by-step explanation:
Referring to the figure, find the surface area
of the cone shown. Round to the nearest whole number.
Answer:
i believe its 1512mm
Step-by-step explanation:
56mm x 27mm
Which equation is represented by the graph?
Answer:
y = -|x + 1| - 4
Step-by-step explanation:
What is the answer for all of them
A circle has a diameter of 6, an area of b square units, and a circumference of c units. What is the value of b + c ?
Answer:
Step-by-step explanation:
Diameter = 6 units
Radius = Diameter/2 = 6/2 = 3 units
Taking π=3.14
Circumference = 2(π)(r) = 2(3.14)(3) = 6(3.14) = 18.84 = c
c = 18.84
Area = π(r)^2 = π(3)^2 = 9π =9(3.14) = 28.26 = b
b = 28.26
So,
b + c = 28.26 + 18.84 = 47.1
Answer:
b=6π the unit(cm)
c=18.84 the unit(cm)
b+c=
9+18.84=27.84
Step-by-step explanation:
circumference=c
diameter=d
radius=r
area=b
d=2r
6=2r
6=r
2
r=3
b=πr^2
b=3×3π
=9π
c=2πr
=2(3.14)3
= 3.14×6
=18.84
4(2(-2)+3(3)-2(4.2)
......
I need to know the answer to this question
Answer: c. y= 2x -3
Step-by-step explanation:
Slope Intercept Form: y= mx +b
m=slope
b= y intercept
the slope is 2 because the line "rises" 2 times and "runs" 1 time
rise/run
2/1
m=2
the y intercept is where the line crosses the (vertical) y-axis
on this graph the line crosses at (0,-3), therefore
b= -3
plug into Slope Intercept Form:
y= mx +b
y= 2x-3
[IMAGE ATTACHED]
I don’t understand this please help.
1+1×5−6+8×(4+4)−62
Find the ans here
Answer:
2
Step-by-step explanation:
1+1×5−6+8×(4+4)−62 =
1+1x5-6+8x(8)-62 =
1+5-6+64-62 =
2
Hope this helps! :)
Which statement about the function is true?
The graph of the function f(x) = -(x + 3)(x - 1) is shown
below.
6
NA
O The function is positive for all real values of x where
x < -1.
The function is negative for all real values of x
where
x < -3 and where x > 1
The function is positive for all real values of x where
x>0
The function is negative for all real values of x
where
X<-3 or x>-11
+
6
4
2
4
6
x
-2
-2
4
-6-
-
Mark this and retum
Save and Exit
Next
Submit
9514 1404 393
Answer:
(b) The function is negative for all real values of x where x < -3 and where x > 1
Step-by-step explanation:
It is pretty easy to tell from the graph that the function is negative for x < -3 and for x > 1.
Will give brainliest answer
Answer:
a
Step-by-step explanation:
plz gimme brainliest
This is the answer but can someone do the work plss??
2/3-5/6what is 2 / 3 - 5 / 6
Answer:
[tex] \frac{ - 1}{6} [/tex]
Step-by-step explanation:
[tex] \frac{2×2}{3×3} - \frac{5}{6} = \frac{4 - 5}{6} [/tex]
[tex] = \frac{ - 1}{6} [/tex] ✅
3. The cost(P) in Ghana Ghana Cedis, of producing n items is given by the formula, P=3/4n + 1800. a. Find the cost of producing 2000 items il formulas.
Answer:
3300
Step-by-step explanation:
P = 3/4n + 1800
P = 3/4(2000) + 1800
P = 3 × 500 + 1800
P = 1500 + 1800
P = 3300
Therefore, the cost of producing 2000 items is GHC 3,300.
cost of producing 2000 items =3300
Solution:-
P = 3/4n + 1800
P = 3/4(2000) + 1800
P = 3 × 500 + 1800
P = 1500 + 1800
P = 3300
Therefore, the cost of producing 2000 items is GHC 3,300.
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