The correct answer is Farah's mixture
Explanation:
In this situation, how strong chocolate flavor is in the mix depends on the ratio of ingredients as more cocoa leads to a stronger chocolate flavor.
Rasu:
Her ratio was 3 teaspoons of cocoa mix and 2 cups of milk. This can be expressed as 3:2 or [tex]\frac{3}{2}[/tex]. Also, this can be simplified by dividing the amount of cocoa into the amount of milk 3 ÷ 2 = 1.5. This means for each cup of milk Rasu added 1.5 teaspoons of cocoa.
Farah:
The ratio was 5 teaspoons of cocoa mix and 3 cups of milk. So, the ratio is 5 : 3 or [tex]\frac{5}{3}[/tex], which is equal to 1.6. This implies for each cup of milk Farah added 1.6 teaspoons of cocoa. This ratio of cocoa vs milk is higher in Farah, which means he added more cocoa, and her mix would have a stronger chocolate flavor.
15 = 9 -1/2x HELP!! PLZ
Answer:
x=-12
are you okay???
A coordinate plane is shown. Triangle PQR has vertices P at negative 6 comma 6, Q at negative 6 comma 3, and R at negative 3 comma 3. Triangle P prime Q prime R prime has vertices at P prime negative 2 comma 2, Q prime at negative 2 comma 1, and R prime at negative 1 comma 1. What is the scale factor of dilation?
Answer:
The scale factor of dilation from ΔPQR to ΔP'Q'R' is 1/3
Step-by-step explanation:
The given information are;
The vertices of ΔPQR are;
P(-6, 6), Q(-6, 3), and R(-3, 3) and the coordinates of ΔP'Q'R' are P'(-2, 2), Q'(-2, 1), and R'(-1, 1)
Given that the length, l, of each side of the triangles is given by the formula for calculating length given the vertices we have;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
For side PQ, we have;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-6, 3)
Given that the points have equal y-values, the length is the difference of their x-values as follows;
[tex]l_{PQ}[/tex] = 6 - 3 = 3
Similarly, length QR is the difference in the y-values, since the x-values are equal. therefore, we have;
[tex]l_{QR}[/tex] = -3 - (-6) = 3
Length PR is given as follows;
(x₁, y₁) = (-6, 6), (x₂, y₂) = (-3, 3)
[tex]l_{PR} = \sqrt{\left (3-6 \right )^{2}+\left (-3-(-6) \right )^{2}} = \sqrt{18} = 3\cdot \sqrt{2}[/tex]
[tex]l_{PR}[/tex] = 3·√2
For P'Q', we have
P'(-2, 2), Q'(-2, 1)
[tex]l_{P'Q'}[/tex] = 2 - 1 = 1
[tex]l_{P'Q'}[/tex] = 1
For Q'R', we have
Q'(-2, 1), R'(-1, 1)
[tex]l_{Q'R'}[/tex] = -1 - (-2) = -1 + 2 = 1
[tex]l_{Q'R'}[/tex] = 1
For P'R', we have;
P'(-2, 2), R'(-1, 1)
[tex]l_{P'R'} = \sqrt{\left (1-2 \right )^{2}+\left (-1-(-2) \right )^{2}} = \sqrt{2} = \sqrt{2}[/tex]
[tex]l_{P'R'}[/tex] = √2
Therefore, given that we have
PQ/(P'Q') = PR/(P'R') = 3/1 = 3 and QR/(Q'R') = 3·√2/(√2) = 3
The scale factor of dilation from ΔPQR to ΔP'Q'R' = 1/3.
In triangle ABC, angleACB is a right angle
Answer:
I think is 11.4
.........
An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 16 minutes. It is currently 2:45 P.M. And both buckets dumped water 15 minutes ago. Find the next two times that both buckets dump water at the same time.
Answer:
The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Step-by-step explanation:
From the question, one bucket dumps water every 18 minutes, say bucket A;
and the other bucket dumps water every 16 minutes, say bucket B.
Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,
that is, both buckets dumped water at 2:30 P.M.
For bucket A, the next times it will dump water will be:
2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.
For bucket B, the next times it will dump water will be:
2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.
From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Two sides of a triangle are equal in length and double the length of the shortest side. The perimeter of the triangle is 36 inches. Select the equation that most accurately depicts the word problem
A:x+2x^2=36
B:x+x+2x=36
C:2x+2x+2x=36
D:x+2x+2x=36
Answer:
Answer is below
Step-by-step explanation:
To solve this, you can set up an equation. Make the length of the shortest side x, so the 2 sides double the length will equal 2x. Since they all equal the perimeter of 36, do x + 2x + 2x =36. These values all represent the sides(2 longer, one short). Combine like terms to get 5x=36 then divide by 5 to find the value of x. x=7.2in meaning the shorter side is 7.2 inches while the longer sides are both 14.4 inches each since they are double in size.
Answer:
D:X+2X+2X=36
Step-by-step explanation:
X+X=EQUAL AND DOUBLE THE SHORTEST SIDE
2[X+X]+[X]=36
HELP THIS IS DUE IN 7 MINUTES
Answer:
it takes 3 more minutes
I think the answer is:
- 2(5x+3)/(x+1)(x-5)(x+3)
But another person said:
10x-6/(x+3)(x+1)(x-5)
Who is correct? *Btw for my answer the whole fraction is negative not just the top or bottom.*
what are -2 times -7?
what is -2+-7?
Write an expression for the phrase -4 times the quantity 4 plus w
A man drove 13 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Answer:
13.93 miles
Step-by-step explanation:
From the given information:
we are being told that a drove 13 miles towards east from home.
and make a left turn due north, thus travel 5 miles.
The objective is to find the man's distance from his starting point(i.e. his home) to his place of work.
Let the horizontal base distance be x = adjacent side = 13 miles
Let the vertical distance be y = opposite side = 5 miles
Let the slant distance be z = hypotenuse side = ??? (unknown)
Therefore, using the pythagoras theorem.
(hypotenuse)² = (opposite)² + (adjacent)²
z² = y² + x²
z² = 5² + 13²
z² = 25 + 169
z² = 194
[tex]z = \sqrt{194}[/tex]
z = 13.93 miles
Write the inverse of f(x)=(2x-4)/x PLS SHOW STEPS
Answer:
f^-1(x) = -4 / x - 2
Step-by-step explanation:
First swap the x and y values. This is done by setting f(x) to x, and x to y.
f(x) = (2x - 4) / x → x = (2y - 4) / y
*Then solve for y like you would for a normal equation*
x = (2y - 4) / y
×y ×y
(multiplication property of equality)
*This will isolate the extra y term*
__________________________
xy = 2y - 4
-2y -2y
(subtraction property of equality)
*This is done to group the like terms together, because they both share a y term now*
_____________________________
xy - 2y = -4
| |
v v
( x - 2 )
(GCF)
*In this case the GCF is y because it is the factor held in common, reverse distributive property*
________________________________
y(x-2) = -4
÷(x-2) ÷(x-2)
(Division property of equality)
*This is the last and final step to isolate the y term completely, so we can find the inverse*
y = -4/x-2
*This is the inverse*
Now just set it in function form as an inverse:
y = -4/x-2 → f^-1(x) = -4/x-2
what is the square root of 30.3 rounded to the nearest hundreth
The number 4 and the number 4/1 are
exactly the same. Explain why.
Step-by-step explanation:
Hey there!
It's obvious that 4 and 4/1 are exactly same.
Reason: something divided by 1 is always a a number same in a numerator.
Example;
1. 7/1 = 7
2. 5/1 = 5
Hope it helps..
Help!! I gave u brainliest!
Answer:
15. -140.008
16. [tex]j = \frac{17-15q}{4}[/tex]
17. [tex]q = \frac{17 - 4j}{15}[/tex]
Step-by-step explanation:
15. -2.3(8.6)²+ 3.5(8.6)= -140.008
16.
15q + 4j = 17
4j = 17 - 15q
[tex]j = \frac{17-15q}{4}[/tex]
17.
15q + 4j = 17
15q = 17 - 4j
[tex]q = \frac{17 - 4j}{15}[/tex]
I can't figure this out, help-
-2(7-y)+4= -4
-14+2y =-4-4
-14 + 2y = -8
2y = -8+14
y = 6/2
y = 3
Triangle XYZ is reflected across the y-axis to create triangle PQR (not shown).
What is the measure, in degrees, of angle R
Answer:
The measure of ∠R = 60°
Step-by-step explanation:
The given parameters are;
Triangle XYZ is reflected across the y-axis to create triangle PQR
The measure of ∠Y = 30°
Triangle XYZ = A right triangle
The measure of ∠X = 90°
Where we have;
The image of the preimage of vertex X = P
The image of the preimage of vertex Y = Q
The image of the preimage of vertex Z = R
Therefore, given that a reflection is a rigid transformation, we have;
The measure of ∠X = The measure of ∠P
The measure of ∠Y = The measure of ∠Q
The measure of ∠Z = The measure of ∠R
Given that the measure of ∠Y = 30° and the measure of ∠X = 90°
∠X +∠Y + ∠Z = 180° (angle summation of a triangle property
∴ The measure of ∠Z = 180° - (∠X + ∠Y) = 180° - (90° + 30°) = 60°
Therefore;
The measure of ∠Z = 60° = The measure of ∠R
The measure of ∠R = 60°.
Which value of x makes the equation ,3 plus 0.75 ( x minus 2) equals 0.5 ( x + 20 ), true
Someone help fast for the bois??
Answer:
34
Step-by-step explanation:
3+0.75(x-2)=0.5(x+20)
3+0.75 x-1.5=0.5 x+10
1.5+0.75x=0.5 x+10
0.75x+0.5x=10-1.5
0.25x= 8.5
0.25/25, 8.5/0.25
x=34
What is the area of this polygon?
Pleasee help mee
I will mark brainliest!
Answer:
60 squared inches.
Step-by-step explanation:
You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.
The rectangle:
[tex]5(11)=55[/tex]
The triangle:
[tex]2(5)=10\\10/2=5[/tex]
Therefore, the whole polygon is 60 squared inches.
Like what the other one said, and thank you so much for the points.
which number produces a rational number when multiplied by 0.5
a. square root of 3
b. 1/3 (1 over 3)
c. 0.555... (0.555 repeating)
d. square root of 16
Answer:
square root of 16
Step-by-step explanation:
the square root of 16 is 4 and 4 times .5 equals 2
Put these numbers in order from least to greatest
4.9 4.5 314
What number is 32% of 79?
thanks so much
Answer:
25.28
Step-by-step explanation:
Answer:
25.28
Step-by-step explanation:
A dairy produces 420,000 quarts of milk each day. There are 4 quarts in a gallon. How many gallons of milk are produced each day? A 105,000 gal B) 1,680,000 gal С 1,050,000 gal D 10,500 gal Question 10 2 Points
Answer:
150000
Step-by-step explanation:
i use cal
One company buys a new bulldozer for $130800. The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800. Express the value of the Bulldozer, V, as a function of how many years old it is, t. Make sure to use function notation
Given :
One company buys a new bulldozer for $130800.
The company depreciates the bulldozer linearly over its useful life of 20 years. It salvage value at the end of 20 years is $19800.
To Find :
The value of the Bulldozer, V, as a function of how many years old it is, t.
Solution :
Let, the equation is :
V = mt + c .....1)
For, t = 0 years
V = m(0) +c = $130800.00
c = $130800.00
For, t = 20 years
V = 20m + c = $19800.00
Putting value of c in above equation, we get :
20m + $130800.00 = $19800.00
m = (19800.00-130800.00 )÷20
m = -5550
Putting value of m and c in equation 1, we get :
V = -5550t + 130800
Hence, this is the required solution.
is 6 rational or irrational??
Answer:
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
Hello!
✧･ﾟ: *✧･ﾟ:* *:･ﾟ✧*:･ﾟ✧
❖ The number 6 is an integer
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :)
Step-by-step explanation:
Answer:
6 is rational.
Step-by-step explanation:
6 is rational because it is classified as a natural/counting number and a whole number.
Please help me I really need it this is due ASAP I will give you 16 points
No, the coordinates can not be the solution to find the answer. I know this because to find a slope-intercept equation you would need to have 2 coordinates. You would need 2 coordinates to first find the slope of the equation (m) in the equation y=mx+b.
1+1+1+1+1+1+2+2+2+3+4=4=====+2233=+
Answer:
78
Step-by-step explanation:
There are 32 marbles in a bag 14 were red, what is the ratio of blue to red?
Please help
Answer: 9:7
Subtract 32 by 14, because there are 14 red marbles.
32 - 14 = 18.
Now, get the numbers 14 and 18. Reduce them to the lowest.
18 ÷ 2 = 9
14 ÷ 2 = 7
Make 9 & 7 to a ration.
Ration- 9:7
================================================
Explanation
There are 32 marbles and 14 are red. If there are only two colors, then we have 32-14 = 18 blue marbles.
The ratio of blue to red is 18:14. We write the two values separated by a colon. The order matters (blue comes first, then red).
The last step is to reduce the ratio 18:14 to 9:7. Note how I divided both parts by the GCF 2.
Will make brainliest!
Please explain what I did wrong , and please give me the correct answer thank you :)
Answer:
y = -x + 5 or y = -1x + 5
you did it correctly but you have to put -1 instead of - since it doesn't know what you mean by just - yk
Step-by-step explanation:
5 (6 - x) = 5 (1 + y)
30 - 5x = 5 + 5y
-5 - 5
25 - 5x = 5y
5y = -5x + 25
5 5
y = -x + 5
common factor the GCF of 27y^2 and 36^3
A line has a y-intercept of 4 and a slope of 10. What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
y = x +
Answer:
y=10x+4
Step-by-step explanation:
Answer:
y=10x+4
Step-by-step explanation: