Answer: I think its $58.4
A tablespoon is equivalent to about 4 teaspoons. A recipe calls for 2/3 cup of sugar for every 1/2 teaspoon vanilla. What is the unit rate in tablespoons
per cup?
Answer:
I understand the exercise is about unit rates, but why go out of the way to state false information? A tablespoon is exactly 3 teaspoons!
Anyway,
(1/2 tsp)/(2/3 cup) * (1tbsp)/(4tsp) = 1/2 * 3/2 * 1/4 = 3/16 tbsp/cup
Step-by-step explanation:
Ok
The function y=-4x + 150 models the
amount of water in a fish tank over time.
y represents the amount of water left in
the tank in gallons. x represents the time
in minutes.
Part A: What does the slope of the
function's graph represent? What does
the y-intercept of the function's graph
represent?
Explain your reasoning.
Part B: After how many minutes will the
tank be empty? Explain your reasoning.
Answer:
Step-by-step explanation:
The equation y = -4x + 150 is telling us the gallons of water reaming (y) after x minutes. The -4 slope represents the rate water is leaving the tank. In this case, it is 4 gallons per mijnute. It is negative since it is leaving the tank. The y-intercept, 150, is the water volume at time 0 minutes, the start. If you only filled it with 75 gallons and then left, the equation would be y=-4x + 40. If you accidently left a valve open, the slope would have a greater negative value (e.g., -10). There is also an equation if your boss see the empty tank: Y = 4590x^9 + 15, where Y is yell ferocity and x is the hours worked that day. 15 is the initial attitude at the start of the day.
ASAP NEED HELP PLEASE 70 points ?!!!!
Answer:
f(1) = 5Step-by-step explanation:
Use the given formula and substitute the value of x:
f(x) = 4 + xf(1) = 4 + 1 = 5f(1)
4+15Done
help is very much needed
Answer:
IT'S NEGATIVE 3. HOPE THIS HELPS...
#1
Show if the triangles below are similar or not
Please help thankyou!!
Answer:
No the triangle are not same because the outer length of triangle is not same
What is the slope of the line on the graph?
Enter your answer in the box.
Which of these is a healthy coping strategy for stress?
A
Writing your thoughts in a journal
B
Not sharing your emotions with anyone
C
Stopping your exercise routine
D
Working very hard without breaks
Answer:
A
writing your thoughts in journal
If tan A = | and tan B = Root3
evaluate
i) CosA cos B - sinA sinB
ii) sinA cosB+ cosA cosB
Answer:
i)
Step-by-step explanation:
Tan a = 1
Tan A = tan 45
A = 45.
Now,
Tan b = root 3
Tan b = tan 60.
B = 60.
Now ,
Cos a * cos b - sin A * sin B
= cos 45 * cos 60 - sin 45 * sin 60
= 1/root 2 * 1/2 - 1/root 2 * root 3 /2
= 1 /root 2 ( 1/2 - root 3 /2)
= 1/root 2 * 1 - root 3 /2
= 1 - root 3 / 2 root 2.
Rationalisie the denominator of: 4√3/2-√2
Answer:
[tex] \longmapsto4 \sqrt{3} + 2 \sqrt{6} .[/tex]
Step-by-step explanation:
[tex]\sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}}}[/tex]
By Rationalizing the denominator:-
[tex] = \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} \times \dfrac{2 + \sqrt{2}}{2 + \sqrt{2}}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{(2)^2 - (\sqrt{2})^2}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{4 - 2}}[/tex]
[tex] = \sf{\dfrac{4\sqrt{3}(2 + \sqrt{2})}{2}}[/tex]
[tex] = \sf{\dfrac{\not{4}\sqrt{3}(2 + \sqrt{2})}{\not{2}}}[/tex]
[tex] = \sf{2\sqrt{3}(2 + \sqrt{2})}[/tex]
[tex] = \sf{4\sqrt{3} + 2\sqrt{6}}[/tex]
[tex] \therefore \sf{\dfrac{4\sqrt{3}}{2 - \sqrt{2}} = 4\sqrt{3} + 2\sqrt{6}}[/tex]
Can someone pls help me with this!!!
Answer:
Step-by-step explanation:
Convergent: Two plates are coming together. This results in one or both edges of the plates to move upwards to form mountains. If one plate is pushed down while the second is pused up, a deep trench may form (ocean trenches). Volcanoes and earthquakes may also form along this boundary. The Pacific "Ring of Fire" is due to convergent plate collisions.
Divergent: Divergent boundaries occur when two plates move away from each other. Earthquakes and volcanoes are common as the growing gap allows magma to comes to the surface. Iceland is divided between the North American and Eurasian plates and this has produced an ever-widenng gap down the center of the country, which is both a major tourist attraction and a source for volcanic activity and numerous hot spring pools. One bridge across this gap is known as the "Bridge Between Continents," and is designed to accomodate the Xcm/year stretch as the continents separate even further.
Transform: Two plates slide past each. The San Andreas fault is one of the more famous. Structures, both natural and man-made, that cross a transform boundary can be split into pieces and moved in opposite directions. Rocks along the boundary are pulverized as the plates grind them. This can result in a linear fault valley or undersea canyon. Earthquakes are common along these faults. Unlike convergent and divergent boundaries, crust is cracked and broken at transform margins, but is not created or destroyed as with convergent and divergent boundaries.
A bike rental costs $8 per hour. Desiree has a coupon for 2 free hours. To find how many hours she can rent with $40, Desiree sets up the equation 8(x – 2) = 40, where x is the number of hours.
Answer:
40
Step-by-step explanation:
8x = 56
8x + 16 = 40
x = 3
8x = 24
x = 7
8x – 16 = 40
8(x – 2) = 40
5 miles in 1 1/2 hours unit rate
Answer: 3.33 miles/hr
Step-by-step explanation:
(5 miles)/(1.5 hr) = 3.33 miles/hr
if a/b= (3/7)2 ÷ (9/7)0, then find the value of (b/a)2?
pls answer fast
[tex]\\ \sf\longmapsto (3/7)2\div (9/7)0[/tex]
Anything multiplied with 0 gives 0[tex]\\ \sf\longmapsto (3/7)2\div 0[/tex]
[tex]\\ \sf\longmapsto \infty[/tex]
Now
[tex]\\ \sf\longmapsto \dfrac{b}{a}=\dfrac{1}{\infty}=0[/tex]
[tex]\\ \sf\longmapsto (\dfrac{b}{a})^2=0^2=0[/tex]
. Only 2% of a large population of 100-ohm gold-band resistors have resistances that exceed 105 ohms. a. For samples of size 100 from this population, describe the sampling distribution of the sample proportion of resistors that have resistances in excess of 105 ohms. b. What is the probabilit
Using the information given above, the sampling distribution of the sample proportion of 100-ohm gold-band is 2.
Sampling distribution of proportion, P = 2% = 0.02 Sample size, n = 100The sampling distribution of the sample proportion can be calculated thus:
Distribution of sample proportion = npDistribution of sample proportion = (100 × 0.02) = 2
Therefore, there is a probability that only 2 of the samples will have resistances exceeding 105 ohms.
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3 over 7 = blank over 35
Answer:
15/35
Step-by-step explanation:
7 x ? =35
7 x 5 =35
whatever you do to the bottom , you do to top so you times 3 by 5.
3 times 5 = 15, therefore, it is 15/35
Answer:
15 over 35
Step-by-step explanation:
35/7 = 5
5*3 = 15
then:
3/7 = 15/35
[tex]\sf 300+200+200[/tex]
Step-by-step explanation:
300+200+200 = 700.
so simple
hope this helps you.
pls help!!!!! i will give brainliest!!!!!
Answer:
-2
Step-by-step explanation:
all you gotta do is look to see where the line intersects the y axis which is -2 here
please help and explain how you got the answer, please and thanks!!!!
Answer:
[tex](0,-5),(1,-\frac{17}{4} ),(2,-\frac{7}{2} )[/tex]
2(x + 4) – 3(x – 6) + 5(x + 1) Simplified completely.
Answer:
4x+31
Step-by-step explanation:
2(x + 4) – 3(x – 6) + 5(x + 1)
Distribute
2x+8 -3x+18 +5x +5
Combine like terms
2x-3x+5x +8+18+5
4x+31
If y varies directly as x and inversely as z, and y=22 when x=4 and z=6, find y when x =10 and z = 25.
I give Brainliest! Please no links
Solve for r
K=3r-s
r=?
Answer:
K=3r-s
K+s=3r
K/3+s/3=r
Step-by-step explanation:
k=3r-s
k+s=3r
k+s/3 = r
r = k+s/3
If 2x -3y = 3 then find 16x 64y =?
Answer:
0 is the answer on 16 x 64y
Answer:
1 x = 4 y= 2/3 = 1. 66667 see attached and join the lines to create shaded area.
Step-by-step explanation:
2x -3y = 3
16x (64y) = ?
we can multiply the 2x by 8 to find x = 16 and -3y = -24y and 3 = 24
as shown 2nd one.
16x + (64y) = c
16x -24y = 24 = 64y - 24y = c
40y = c - 24
40y/24 = y
1.66667 = y
y = 1.6667 or 1 2/3
2x -3 ( 1 2/3 ) = 3
2x - 5 = 3
2x = 8
x = 4
y = 1. 66657
there are 4, 6, and 7 points on three lines. How many triangles is it possible to create with given points as vertices?
4 triangles can be created with 3 points on a line.
20 triangles can be created with 6 points on a line.
30 triangles can be created with 7 points on a line.
Combination has to do with selection.
Note that a triangle has 3 vertices. If there are 4 points on a line, the number of triangles it is possible to create is derived using the combination formula shown as:
[tex]nC_r=\frac{n!}{(n-r)!r!}[/tex]
[tex]4C_3 = \frac{4!}{(4-3)!3!}\\4C_3 =\frac{4\times3!}{3!}\\4C_3=4triangles[/tex]
This means that 4 triangles can be created with 3 points on a line.
For a line with 6 points:
[tex]6C_3 = \frac{6\times 5\times 4\times 3!}{(6-3)!3!}\\6C_3 =\frac{6\times5\times 4\times3!}{3!3!}\\4C_3=20triangles[/tex]
This shows that 20 triangles can be created with 6 points on a line.
For a line with 7 points:
[tex]7C_3 = \frac{7\times 6\times 5\times 4!}{(7-3)!3!}\\4C_3 =\frac{7\times6\times 5\times4!}{4!3!}\\4C_3=30triangles[/tex]
This shows that 30 triangles can be created with 7 points on a line.
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10 ft 8 ft 6 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate n. A = [ ? ] ft?
Answer:
l×b×h-this is the order
10×8
=80 --area 1:maximum
10×6= 60--area2: minimum area
8×6=48--area3:middle area
if you follow the order
the answer is= 60ft
-4(50x-20)=10x+15+23
Answer:
0.2 or 1/5
Step-by-step explanation:
-4(50x - 20) = 10x + 15 + 23
-200x + 80 = 10x + 38
80 = 210x + 38
42 = 210x
0.2 = x
Hope this helps! Pls give brainliest!
Answer: x = 1/5 or 0.2
Step-by-step explanation:
-4(50x-20)=10x+15+23
-200x +80=10x+38
-80 -80
-200x=10x-42
-10x. -10x
-210x = -42
/-42. /-42
= 5
Can someone PLEASE tell me the answer
Answer:
the answer is C 36
Step-by-step explanation:
Write the equation of the graph below in slope intercept form.
(2,0) and (0,-3)
Step by step
Answer:
y2- y1 over
x2 -x2
[tex] - 3 - 0 = - 3[/tex]
[tex]0 - 2 = - 2[/tex]
Step-by-step explanation:
slope is m =
[tex]m = - \frac{3}{2} [/tex]
use the -3 for b and you get
[tex]y = - \frac{3}{2} x - 3[/tex]
slope intercept form
What is 2 6/8 in fraction
Solve using order of operations: 72/8+6/3-4(10)
Answer:
the answer is -29
Step-by-step explanation:
Use the example as a model. Simplify the expressions.
t^37 = ✔ i
t^82 = ✔ –1
Answer:
After , the sequence repeats itself
Divide 37/4 = 9 R 1. Now use the remainder and find which one of the values of i it matches.
so
Step-by-step explanation:
The expressions are simplified as;
i. t = ∛i
ii. t = 1
How to simply the expressionsFrom the information given, we have that;
Simplifying [tex]t^3^7[/tex] = √i
When [tex]t^3^7[/tex]equals i (the imaginary unit), we can solve for "t" by taking the 37th root of both sides:
[tex]t^3^7 = i[/tex]
[tex]t = \sqrt[3]{i^3^7}[/tex]
[tex]t = i^(^3^7^/^3^)[/tex]
Since i^4 = 1 (i raised to the power of 4 is 1), we can simplify the exponent:
[tex]t = i^(^1^2 ^+ ^1^/^3^)[/tex]
[tex]t = i^1^2 ^* i^(^1^/^3^)[/tex]
Now, since[tex]i^1^2[/tex] = 1 and [tex]i^(^1^/^3^)[/tex] represents the cube root of i, we have:
t = 1 * ∛i
t = ∛i
Simplifying [tex]t^8^2[/tex] = √ –1:
Take the 82nd root of -1
[tex]t^8^2 = -1[/tex]
t = [tex]\sqrt{(-1)^8^2}[/tex]
t = √1
t = 1
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