Answer:
2 teaspoons
Step-by-step explanation:
24 tsp/12 cups = x tsp /1 cup
Cross multiplying, we have:
12x = 24
x = 2
The solution is 2 teaspoons of cocoa
Number of teaspoons of cocoa is given by the equation A = 2 teaspoons
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of teaspoons of cocoa be represented as A
Now , the equation will be
A batch of hot chocolate is made with 24 teaspoons of cocoa and 12 cups of milk
So , for 12 cups of milk = 24 teaspoons of cocoa is required
And , for 1 cup of milk A = 24 teaspoons of cocoa is required / 12
Substituting the values in the equation , we get
Number of teaspoons of cocoa A = 24 teaspoons / 12
Number of teaspoons of cocoa A = 2 teaspoons
Therefore , the value of A is 2 teaspoons
Hence , the number of teaspoons is 2
To learn more about equations click :
https://brainly.com/question/19297665
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In the diagram of the right triangle shown find the value of c.
Answer:
Hey there!
20^2+25^2=c^2
400+625=c^2
1025=c^2
Square root 1025 is the correct answer, so option C.
Let me know if this helps :)
Answer: B
Step-by-step explanation:
The number of dollars in Teo's bank
account on Tuesday was 3 times as
much as the amount on Friday. How
many dollars were in the account on
Friday?
Answer:
y = $ x/3
Step-by-step explanation:
Let the amount of dollars in Teo's bank on Tuesday be $x and the amount in his bank on Friday be $y.
If the number of dollars in Teo's bank account on Tuesday was 3 times as
much as the amount on Friday, this can be represented mathematically as;
x = 3y where y is the amount in his bank on Friday.
The amount of dollars in his account on friday will be gotten by dividing both sides of the equation by 3
3y = x
3y/3 = x/3
y = x/3
Hence the amount of dollars in his account on Friday is y = $ x/3
I need help ASAP!!! Please explain how to solve the problem I am stuck
Answer:
( x - 11 )^2 + ( y - 5 )^2 = 4^2
Step-by-step explanation:
The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.
h and k are the co-ordinates of the center of circle and r is the radius
We have,
r=4
(h,k)=(11,5)
( x - h )^2 + ( y - k )^2 = r^2
or, ( x - 11 )^2 + ( y - 5 )^2 = 4^2
If you simplify,
x^2-22x+121+y^2-10y+25=16
or, x^2+y^2-22x-10y+146-16=0
or,x^2+y^2-22x-10y+130=0
Answer:
( x - 11 )^2 + ( y - 5 )^2 = 4^2
Step-by-step explanation:
3(q−7)=27 need help plzz 1st peep gets brainlest
━━━━━━━☆☆━━━━━━━
▹ Answer
q = 16
▹ Step-by-Step Explanation
3(q - 7) = 27
3q - 21 = 27
Add 21 to both sides:
21 + 21 = na
27 + 21 = 48
3q = 48
Divide both sides by 3:
3/3 = q
48/3 = 16
q = 16
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Answer:
q=16
Step-by-step explanation:
3q-21=27
27+21=48
48/3=16
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Outliers can cause the _________ to be misleading when summarizing a data set.
A. mean
B. interquartile range
C. all of these
D. median
Answer:
A. Mean
Step-by-step explanation:
Mean, because it's the average of the numbers and if one number's way off, it would throw the average off by a lot! I honestly forgot a bit about interquartile ranges, but it doesn't affect the median at all/have a very little effect so that's why it's not all of these. But mean is for sure!
I hope this helped! :D
Verify the identity. cot(x - pi/2) = -tan(x)
Answer:
See below.
Step-by-step explanation:
[tex]\cot(x-\frac{\pi}{2})=-\tan(x)[/tex]
Convert the cotangent to cosine over sine:
[tex]\frac{\cos(x-\frac{\pi}{2} )}{\sin(x-\frac{\pi}{2})} =-\tan(x)[/tex]
Use the cofunction identities. The cofunction identities are:
[tex]\sin(x)=\cos(\frac{\pi}{2}-x)\\\cos(x)=\sin(\frac{\pi}{2}-x)[/tex]
To convert this, factor out a negative one from the cosine and sine.
[tex]\frac{\cos(-(\frac{\pi}{2}-x ))}{\sin(-(\frac{\pi}{2}-x))} =-\tan(x)[/tex]
Recall that since cosine is an even function, we can remove the negative. Since sine is an odd function, we can move the negative outside:
[tex]\frac{\cos((\frac{\pi}{2}-x ))}{-\sin((\frac{\pi}{2}-x))} =-\tan(x)\\-\frac{\sin(x)}{\cos(x)} =-\tan(x)\\-\tan(x)\stackrel{\checkmark}{=}-\tan(x)[/tex]
PLEASE HELP f(x)=x^2 and g(x)=(x-3)^2+2 Describe how the graph of g(x) relates to the graph of its parent function, f(x). (HINT: Think about how f(x) was shifted to get g(x))
Answer:
The graph f(x) was shifted 3 units to the right and shifted 2 units up to get the graph of g(x).
Step-by-step explanation:
From the original graph to the transformed one, we can see that the transformations (x - 3) and + 2 were added to the equation.
The (x - 3) means that the x-value of the vertex will increase by 3, meaning that the graph will shift 3 units to the right.
The +2 will increase the y-value of the vertex by 2, meaning that the graph will move up 2 units.
So, the graph of g(x) relates to f(x) as it is a transformation 3 units to the right and 2 units upwards.
Enter the repeating digit.
Answer:
Does the answer help you?
Answer:
6
Step-by-step explanation:
Dividing 2 by 3 gives you a repeating decimal of 0.6666...
Expand ( p + 6 )( p - 3 )
Answer:
[tex]\Large \boxed{p^2 +3p-18}[/tex]
Step-by-step explanation:
[tex]( p + 6 )( p - 3 )[/tex]
Expand brackets.
[tex]p(p-3)+6(p-3)[/tex]
[tex]p^2 -3p+6p-18[/tex]
Combine like terms.
[tex]p^2 +3p-18[/tex]
Answer:
p² + 3p - 18
Step-by-step explanation:
(p + 6) (p-3)
Break it apart to make it easier to see:
p(p-3) = p² - 3p
6(p-3) = 6p - 18
Add both parts together(Combine Like terms):
p² - 3p + 6p - 18 = p² + 3p - 18
how many degrees are between 50 and 85
Answer:
35 degrees
Step-by-step explanation:
50+35=85
evaluate 5!+2!. Thank you!
Answer:
122
Step-by-step explanation:
5!=5 x 4 x 3 x 2 x 1 = 120
2!=2 x 1 = 2
120+2=122
Determine the value of x.
Answer:
x = 4.59
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp / adj
tan 74 = 16/ x
x tan 74 = 16
x = 16/ tan 74
x=4.58792
[tex]\huge\text{Hey there!}[/tex]
[tex]\boxed{\boxed{\huge\text{Formula: \boxed{\text{tan } \theta = \mathsf{\dfrac{Opposite}{Adjacent}}}}}}[/tex]
[tex]\boxed{\huge\text{\boxed{\mathsf{\bold{tan\ 74} = \dfrac{16}{x}}}}}[/tex]
[tex]\boxed{\boxed{\huge\textsf{x tan 74 equals \bf 16}}}[/tex]
[tex]\boxed{\huge\text{x = }\boxed{\mathsf{\dfrac{16}{tan \ 74}}}}[/tex]
[tex]\boxed{\boxed{\huge\text{x = \bf x=4.58792}}}\boxed{\boxed{\huge\text{\bf (ORIGINALLY)}}}[/tex]
[tex]\boxed{\boxed{\huge\text{x = \boxed{\bf 4.58792\ or \ 4.58 \ is \approx \underline{\underline{4.59}}}}}}\huge\checkmark[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \boxed{\textsf{Option C. \bf 4.59}}}}}\huge\checkmark[/tex]
[tex]\huge\text{\huge\text{Good luck on your assignment \& enjoy your day!}}[/tex]
~[tex]\boxed{\huge\text{\boxed{\frak{Amphitrite1040:)}}}}[/tex]
Write in word form.
4. 572
5. 2.897
6. $325.10
Answer:
heyyy thereee
4) 572 = five hundred seventy two
5) 2.897 = two and eight hundred ninety seven thousandths
6) three hundred twenty five and 10 hundredths or three hundred twenty five and 1 tenth
glad if brainliest ig ?
Pleaseeeee help!!!!!!!!
Answer:
30
Step-by-step explanation:
The total number of people is
5+6+4+7+5+3 = 30 people
Answer:
30
Step-by-step explanation:
pizza:5+7=12
Burger:6+5=11
Other:4+3=7
Total:12+11+7=30
Use the point slope formula…
Answer:
y = 3x + 7
Step-by-step explanation:
When lines are parallel, the slope is the same but the y-intercept is not
The blue line is the graph for y = 3x + 2
The slope for the line is 3/1
So the slope for the line containing (-2,1) should be 3/1
I plotted (-2,1) and used the Rise/Sun (3/1) to find a point on the y-axis, the teal point.
I graphed the line in yellow
In y=mx + b, b = 7, and mx = 3x
So the equation is y = 3x + 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Does this graph show a function? Explain how you know.
O A. Yes; there are no y values that have more than one x-valuer
O B. No, there are y-values that have more than one x-value.
O C. Yes, the graph passes the vertical line test.
O D. No, the graph fails the vertical line test. SUBMIT
Answer: D) No. The graph fails the vertical line test.
Explanation:
We are able to draw a single vertical line that passes through more than one point on the red curve. For example, we could draw a vertical line through x = 5 and have it cross the red curve at (5,4) and (5,-4).
So this is one example where the graph fails the vertical line test. It passes this test when such a thing doesn't happen. In other words, a function is only possible if any x input leads to exactly one and only one y output.
In this case, x = 5 leads to multiple outputs y = 4 and y = -4 at the same time. There are other x values which this occurs as well (any x values such that x > 1). So this is why we don't have a function.
A factory inspector found flaws in 3 out of 18 wooden boxes. What is the experimental probability that the next wooden box will be flawed?
Write your answer as a fraction or whole number.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{1}{6}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Box Probability}}\\\\\rightarrow \frac{\text{# of boxed flawed}}{\text{# of boxes checked}} \\\\\rightarrow \frac{3}{18}\\\\\rightarrow \frac{3/3}{18/3}\\\\\rightarrow\boxed{\frac{1}{6}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the measure of m?
6
3
18
n
m =
=
[?]
Answer:
6/n = n/18
n^2 = 108
n = sqrt 108
a^2 + b^2 = c^2
36 + 108 = m^2
144 = m^2
m=12
Let me know if this helps!
Which of the relations given by the following sets of ordered pairs is a function?
Select one:
a.
{(2,4),(2,6),(2,8),(2,10),(2,12)}
b.
{(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}
c.
{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}
d.
{(8,1),(−4,1),(3,5),(0,4),(−1,2)}
Answer:
d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)} - function
Step-by-step explanation:
a.{(2,4),(2,6),(2,8),(2,10),(2,12)}
Each value of x goes to more than one value of y- this is not a function
b. {(−5,−4),(−4,−3),(−3,−2),(−4,−5),(−2,−1)}
The value of x at -4 goes to more than one value of y- this is not a function
c.{(0,3),(−6,8),(−3,5),(0,−3),(7,11)}
The value of x at 0 goes to more than one value of y- this is not a function
d.{(8,1),(−4,1),(3,5),(0,4),(−1,2)}
Each value of x goes to only one value of y- this is a function
Find the common ratio for the geometric sequence for which [tex]a_1[/tex]=3 and [tex]a_5[/tex]=48. A. -3 B. -2 C. 3 D. 2
Answer:
An= A1 * r^n-1
A5= 3 * r^5-1
48= 3*r^4
48÷3=r^4
16=r^4
r=
[tex] \sqrt[4]{16} [/tex]
r=2
The answer is D. 2
Espero que te sirva
hsじぇいrんふぉそ具jんじょおlっっっkjか、
Pls halp is due today >_<. Thank you
Answer:
The square root of 38.
Step-by-step explanation:
The square root of 38 is about 6.16.
The square root of 35 is about 5.91.
The square root of 45 is about 6.70.
The square root of 48 is about 6.92,
So the most reasonable one is the square root of 38, since it is much closer to 6.
Tatenda takes ttt seconds to mow a square meter of lawn and Ciara takes ccc seconds to mow a square meter of lawn. Tatenda mows 700700700 square meters of lawn per week and Ciara mows 750750750 square meters of lawn per week. Which expressions can we use to describe how many more seconds Tatenda spends than Ciara spends mowing lawns during 444 weeks? Choose 2 answers: Choose 2 answers: (Choice A) A 4(750c-700t)4(750c−700t)4, left parenthesis, 750, c, minus, 700, t, right parenthesis (Choice B) B 3000c+2800t3000c+2800t3000, c, plus, 2800, t (Choice C) C 2800t-3000c2800t−3000c2800, t, minus, 3000, c (Choice D) D 4(700t-750c)4(700t−750c)4, left parenthesis, 700, t, minus, 750, c, right parenthesis (Choice E) E 4(700t+750c)4(700t+750c)
Answer:
C.) 4(750c-700t) ; D.) 2800t - 3000c
Step-by-step explanation:
Time taken :
Tatenda = t sec/m^2
Ciara = c sec/m^2
Tatenda = 700m^2 per week
Ciara = 750m^2 per week
Which expressions can we use to describe how many more seconds Tatenda spends than Ciara spends mowing lawns during 4
Total Time taken over four weeks :
Tatenda = 4(t * 700) = 4(700c)
Ciara = 4(c * 750) = 4(750c )
Number of seconds Tatenda spends more than Ciara : meaning Tatenda spends more seconds than
Tatenda - Ciara
4(700t) - 4(750c) = 4(700t - 750c)
4(700t - 750c)
Or
4(700t - 750c) = 2800t - 3000c
2800t - 3000c
13. Classify the following number. (Select all that apply) *
-10
Natural
Whole
Integer
Rational
Irrational
Answer:
-natural
-whole
-integer
-rational
Brainliest is very much appreciated! :)
NEED HELP..... Select the polynomial that is a perfect square trinomial. 36x^2 − 4x + 16 16x^2 − 8x + 36 25x^2 + 9x + 4 4x^2 + 20x + 25
===============================================
Explanation:
Perfect square trinomials are in the form (a+b)^2 = a^2+2ab+b^2
So the first and last terms must be perfect squares. The middle term is twice that of the square roots of each first and last term.
Choice D fits the description because 4x^2 = (2x)^2 is the first term, so a = 2x and 25 = 5^2 is the last term meaning b = 5. Note how 2ab = 2*2x*5 = 20x is the middle term.
-------------
(a+b)^2 = a^2+2ab+b^2
(2x+5)^2 = (2x)^2+2*2x*5+5^2
(2x+5)^2 = 4x^2 + 20x + 25
Answer:
(2x+5)² or (2x+5)(2x+5)
Step-by-step explanation:
4x²+ 20x + 25
(2x ) (2x ) first step 2x*2x=4x²
(2x + 5 )(2x + 5 ) the constant sign is plus so it can be ( minus × minus=plus OR plus×plus=plus) look at the middle value it is positive so the two signs are positive or plus sign.
(2x+5)²
Which inequality is represented by the graph?
Answer:
It will be -5≤×≤4
Someone help pleasee
Answer:
-80
Step-by-step explanation:
We can write the quadratic as
ax^2 + bx+c
4x^2 +8x+9
a=4 b = 8 c=9
The discriminant is
b^2 -4ac
8^2 - 4(4)(9)
64 - 144
-80
Answer:
-80
Step-by-step explanation:
The discriminant is the value under the radical in the quadratic formula. The part of the quadratic formula that is under the radical is [tex]\sqrt{b^2-4ac}[/tex]. So, plug in the needed values and solve for what is under the radical. The b-value is 8; this squared is 64. Then, plug in a and c, 4 and 9. Then multiply these by 4, 4*4*9=144. Finally subtract, 64-144=-80.
Which expression is NOT equivalent to 24 + 18?
Submit Answer
6(4+3)
2(12 +9)
3(8+6)
2(12 + 18)
EasyAnswer:
Step-by-step explanation:
A certain composite number has 4 factors and the sum of them is 96. Find the number(hint the number is divisible by 7). Just don't give me the answer by guessing. show me how you arrived at the solution elaborately i.e. show me your working in detail
Answer:
[tex]\huge\boxed{77}[/tex]
Step-by-step explanation:
The number can be divisible by 7.
The multiples of 7 are 7,14,21,28,35,42,49,56,63,70,77,84 and so on
Finding the factors for all of the multiples of 7:
7 => 1,7 [Not 4 factors]
14 => 1,2,7,14 [4 factors but Sum = 24]
21 => 1,3,7,21 [4 factors but Sum = 32]
28 => 1, 2, 4, 7, 14, 28 [Not 4]
35 => 1,5,7,35 [4 factors but Sum = 48]
42 => 1, 2, 3, 6, 7, 14, 21, 42 [Not 4]
49 => 1,7,49 [Not 4]
56 => 1, 2, 4, 7, 8, 14, 28, 56 [Not 4]
63 => 1, 3, 7, 9, 21, 63 [Not 4]
70 => 1, 2, 5, 7, 10, 14, 35, 70 [Not 4]
77 => 1, 7, 11, 77 [4 factors and Sum = 96]
Answer:
77
Step-by-step explanation:
The first factor is 1
Since it is divisible by 7, 7 will also be one of its factors.
Therefore the four factors are
1, 7, x, y
When x and y are integers
Using the following law...
The product of factors of a number in the same position (left or right) (increasing or decreasing order) is equal to the number
Counting from left
y is the first factor
x is the second factor
Counting from the right
1 is the first factor
7 is the second factor
Applying the last
y×1=x×7
y = 7x
the sum of the factors is 96
1+7+x+7x = 96
8x+8=96
8x = 88
x= 11
Hence the number is
7x = 7(11)
=77
a man bought a car for 8500 GH cedis and he later sold it at for 9500. find his percentage gain
Answer:
11.7647059 % gain
Step-by-step explanation:
To find the gain, take the new amount and subtract the original amount
9500-8500 = 1000
Divide by the original amount
1000/8500=.117647059
Multiply by 100% to get in percent form
11.7647059 % gain
Find m∠WVT. A. 40 B. 45 C. 53 D. 50
Using the formula for the angle of a secant and tangent line
Angle V = (TW - UW)/2
Write the formula with the given information:
3x+4 = (14x+7 - 7x+11)/2
Simplify:
3x+ 4 = (7x -4)/2
Multiply both sides by 2:
6x + 8 = 7x-4
Add 4 to both sides:
6x+12 = 7x
Subtract 6x from both sides:
X = 12
Now replace x with 12 in angle v:
3(12) +4 = 35 + 4 = 40
The answer is A) 40