A science teacher has a supply of 50% sugar solution and a supply of 80% sugar solution. How much of each solution should the teacher mix together to get 105 ML of 60% sugar solution for an experiment
70 ML of the 50% solution and 35 ML of the 80% solution
35 ML of the 50% solution and 70 ML of the 80% solution
70 ML of the 50% solution and 70 ML of the 80% solution
35 ML of the 50% solution and 35 ML of the 80% solution

Answers

Answer 1
How much of each solution should the teacher mix together to get 105 ML of 60% sugar solution for an experiment?

1. Look at how 60% is closer to the solution of lower concentration (50%). You can deduce that you will be mixing a higher volume of the 50% solution.

2. All 4 answers add up to 105ml.

3. The intuitive answer is the first option:
70 ML of the 50% solution and 35 ML of the 80% solution

4. Let's check whether point 3 is true.
70ml/105ml X 0.5 + 35ml/105ml X 0.8 = (35 + 28)/105= 63/105= 60% / 105 ml = 105ml of 60% sugar solution

Related Questions

10 with a small 6 on top is

Answers

Do you mean [tex] 10^{6} [/tex]?

Are you asking what that equals or what the 6 means?

I'll just answer both lol

[tex] 10^{6} [/tex]=1,000,000

The 6 is an exponent by the way, if you needed to know that
10to the 6th power is 1000000

Help!!! Question is attached. It is on Solving Equations.

Answers

Hi there!

Okay, so we are solving for s. This is pretty simple. Just follow the steps below!

-10s = -8 - 9s

Step 1) Simplify both sides of the equation.

-10s = -8 + - 9s
-10s = -9s - 8

Step 2) Add 9s to both sides.

-10s + 9s = -9s - 8 + 9s
-s = -8

Step 3) Divide both sides by -1.

-s/-1 = -8/-1
s = 8

Our final answer is s = 8.

Hope this helps!

A _______________ is where a horizontal number line and a vertical number line intersect at their zero points.

Answers

The x intercept is what you are looking for. 
If you need help comment below!


how do I solve : COT pi/4 ...?

Answers

cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1

V-15=-27 what's they equation

Answers

v would be equal to -12

The given expression V-15=-27 gives the value of v = -12.

Using operations like addition, subtraction, multiplication, and division, a mathematical expression is defined as a group of numerical variables and functions.

And we know that a mathematical definition of an equation is a claim that two expressions are equal when they are joined by the equals sign ("=").

The given expression is:

V-15=-27

To solve this equation:

Add 15 on both sides

v - 15 + 15 = - 27 + 15

v = -12

Hence,

The given expression gives the value of v = -12

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multiply 3/7 x 14
...?

Answers

3/7 x 14/1
= 42/7
=6/1

6

The simplified product of 3/7 multiplied by 14 is 6.

To multiply 3/7 by 14, you can follow these steps:

Multiply the numerators: 3 x 14 = 42.

Multiply the denominators: 7 x 1 = 7.

Therefore, the product of 3/7 multiplied by 14 is 42/7.

However, we can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 7.

= 42/7

= 6/1

= 6.

So, the simplified product of 3/7 multiplied by 14 is 6.

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Select the postulate that is illustrated for the real numbers.

3 + 2 = 2 + 3

The commutative postulate for multiplication
Multiplication identity
The addition inverse postulate
Commutative postulate for addition
The distributive postulate
The addition of zero postulate
The multiplication inverse

Answers

3 + 2 = 2 + 3
the answer is Commutative postulate for addition

A girl is 18 years old and her brother is a third of her age. When the girl is 36 what would be the age of the brother?

Answers

her brother is 6 yrs old
First we need to calculate how many years her brother has when she is 18. As text says he is:
18/3 = 6 years old

Now when she gains another 18 years (36-18=18) he will also gain those 18 years

When she is 36 he will have 6+18=24 years old

Answer is 24.

To travel 105 miles, it takes Sue, riding a moped, 3 hours less time than it takes Doreen to travel 64 miles riding a bicycle. Sue travels 13 miles per hour faster than Doreen. Find the times and rates of both girls.

Answers

Let t=time Doreen travels; let r=rate of Doreen

                RATE * TIME = DIST.
        Sue | r+13      t-3       105
   Doreen |   r           t          64
 
Now solve the system:
(r+13)(t-3)=105
r*t=64
 
[tex]r= \frac{64}{t} \\ \\(\frac{64}{t} +13)(t-3)=105 \\ \\64- \frac{192} {t}+13t-39-105=0 \\ \\13t- \frac{192} {t}-80=0 \\ \\ 13t^2-80t-192=0 \\ \\t_{1,2}= \frac{80\pm \sqrt{(-80)^2-4\times13(-192)} }{2\times13}= \frac{80\pm128}{26} \\ \\t=\frac{80+128}{26} =8 \\ \\r=\frac{64}{t} =\frac{64}{8} =8[/tex]
             
Doreen: rate = 8 mph, time = 8 hours
Sue:  rate = 21 mph, time = 5 hours



Estimate 24% of 33.

a) 17

b) 12

c) 2

d) 8

Answers

Just by estimating, I would estimate the answer to be d) 8.

24% is close to 25%, which is one fourth. One fourth of 33 is about 8.

Which ordered pair is a solution to this equation?

(x + 3) y = 14

A. (3, 2)

B. (5, 2)

C. (11, 1)

D. (7, 2)

Answers

I hope this helps you
the answer would be C because (11+3)*1=14

What is the slope of this graph?

−1/3

3

1/3

−3

Answers

I'm assuming there is probably a graph that goes with this problem so here is all the info I can give you with the four choices: If it is -1/3, the line will go DOWN 1, over 3 (just count on the graph) If it is 3, the line will go UP 3, over 1 If it is 1/3, the line will go UP 1, over 3 And if it it -3, it will go DOWN 3, over 1 (If the slope is 3 or -3, it would be quite steep compared to a slope of 1/3 or -1/3) Hope that helps!

Which of the following expressions could be used to represent "the difference between -17 and -8"?
-8 - (-17)
-17 - 8
-17 - (-8)
-8 + (-17)

Answers

-17 -(-8) should be the answer

Answer:

-17 - (-8)

Option 3 is correct.

Step-by-step explanation:

Phrase: "the difference between -17 and -8"

Expression: To write the phrase into algebraic form with a variable or constant.

Difference: write two number using subtraction between them.

"the difference between -17 and -8"

First number is -17 and second number is -8

Expression: -17 difference -8

Now using minus sign write as expression.

[tex]\Rightarrow -17-(-8)[/tex]

Hence, The correct expression is -17-(-8)

1. A local pizzeria sold 65 pizzas yesterday.
(a) The owner offers the employees a bonus if the number of pizzas sold increases by 20% today. How many pizzas must the pizzeria sell for employees to receive the bonus? Explain your reasoning.

(b) Suppose the actual number of pizzas sold today was 60. Describe the number of pizzas sold as a percent increase or decrease, rounded to the nearest hundredth. Show your work.

Answers

65 + 0.20(65) = 65 + 13 = 78..they would have to sell 78 to get the bonus

(65 - 60) / 65 = 5/65 = 0.0769 x 100 = 7.69 rounds to 7.7 % decrease compared to the 65 pizza's sold yesterday

Answer: 1) Pizzeria must sell 78 pizzas for receiving the bonus.

2) The number of pizzas sold is decreased by Approximately 7.69 %.

Step-by-step explanation:

1) The number of pizza sold yesterday = 65,

The target for receiving the bonus = 20% more than the number of pizza sold yesterday

= 20% more than 65,

= 65 + 20% of 65    ( 1% = 0.01 ⇒ 20% = 0.2 )

= 65 + 0.2 × 65

= 65 + 13 = 78.

Hence, they must sell 78 pizzas for receiving the bonus.

2) If the actual number of pizza sold today = 60

⇒ Total reduction in the number of pizza = 65 - 60

= 5

Thus, the percentage decrease in the number of pizza

[tex]=\frac{\text{Total reduction}}{\text{The number of pizza sold yesterday}}\times 100[/tex]

[tex]=\frac{5}{65}\times 100[/tex]

[tex]=\frac{500}{65}=7.69230769\approx 7.69\%[/tex]

Which one is the greater quantity 1/3 of a box of corn crinkles or 50% of a box of corn krinkles

Answers

1/3=0.3333333333333
50%=0.50

0.50>0.33333333333333
50%>1/3

50% is biger
50% is bigger because if you divide 1/3 it equals 0.333333 and it just keeps going. 50% equals 0.5

What is the equation in point slope form of the line that passes through the point (–1,–3) and has a slope of 4?

Answers

m=4

(-1, -3)
x1, y1

just plug the rest in

Answer:

The required equation is y + 3 = 4(x + 1)

Step-by-step explanation:

Since, the point slope form of a line passes through the point [tex](x_1, y_1)[/tex] having slope m is,

[tex]y-y_1 = m(x-x_1)[/tex]

Here,

[tex]x_1 = -1, y_1 = -3\text{ and }m = 4[/tex]

Hence, the equation of the line,

[tex]y+3 = 4(x+1)[/tex]

Or

[tex]y = 4(x+1) - 3[/tex]

A six-sided fair die and an eight-sided fair die are rolled together. What is the probability of getting numbers whose sum is a multiple of 3?

Answers

There are 48 possible outcomes in this situation, and of those outcomes, the ones whose sums are a multiple of three are;
12, 21, 15, 51, 24, 42, 33, 18, 27, 36, 63, 45, 54, 48, 57, and 66. So, that is 16 out of 48 possibilities, or 16/48, which simplifies to 1/3. Written as a percent, the probability of getting numbers whose sum is a multiple of three is 33.33%.

Hope this is helpful! :)

To solve this problem, we have to find the multiples of 3 and then find the probability of selecting them. The probability of having a multiple of 3 is 1/3.

Probability of tossing a fair dice.

The probability of tossing a six-sided dice and a eight-sided dice.

When we toss them together, the maximum value will be

[tex]6 * 8 = 48[/tex]

The multiplies of 3 will be

Data;

3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48

The probability of having a multiple of 3 will be

[tex]P(multiple of 3) = \frac{16}{48} = \frac{1}{3}[/tex]

The probability of having a multiple of 3 is 1/3

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What is the equation for this slope question??

4.)The line whose slope is half as great as Its y-intercept. Their sum is 1.

Answers

I think the slope is 1/3 and the y-intercept is 2/3
Final answer:

We are given that the slope is half the y-intercept and their sum is 1. Using these conditions we can solve for b and m (which represent y-intercept and slope) and we find that b=2/3 and m=1/3. Therefore, the equation of the line is y = 1/3x + 2/3.

Explanation:

The question is about finding the equation of a line from given conditions. We know that the equation of a line is typically written in the form y = mx + b, where m is the slope and b is the y-intercept. We are given two conditions: the slope is half the y-intercept, and their sum is 1.

Let's assume that the y-intercept is b and the slope is m. Now we can substitute the value of m from the first equation into the second. This gives us: b + b/2 = 1. Solving this, we get b = 2/3 and therefore, m = 1/3.

So, the equation of the line is y = 1/3x + 2/3.

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Which of the following is an equivalent form of the compound inequality −22 > −5x − 7 ≥ −3?

−5x − 7 < −22 and −5x − 7 ≥ −3
−5x − 7 > −22 and −5x − 7 ≥ −3
−5x > −22 and −7 ≥ −3
−5x − 7 < −22 and −5x − 7 ≤ −3

Answers

The answer is: [A]: " −5x − 7 < −22 and −5x − 7 ≥ −3 "
______________________________________________
Explanation:
___________________________
We are the given the following compound inequality:
__________________
−22 > −5x − 7 ≥ −3 "
__________________________
Consider Answer choice: [A]: −5x − 7 < −22 and −5x − 7 ≥ −3
____________________________________________
Do both of these given in "Answer choice [A]" hold true?
______________________________________
  First, does: −5x − 7 < −22 hold true?  
___________________________________
Yes, because, in the compound inequality given:
___________________________________
−22 > −5x − 7 ; which is another way of saying that:
 __________________
 −5x − 7 < −22 .
____________________
Second does:  "−5x − 7 ≥ −3 " , hold true?
_____________________________
Yes, because, in the compound equality given, 
________________
−5x − 7 ≥ −3 ; which explicitly tells us that it holds true.
_________________
Thus, "Answer choice: [A]: −5x − 7 < −22 and −5x − 7 ≥ −3 " is a correct answer.
___________________
There could be other correct answers, so let us examine the other answer choices:
____________________
Consider "Answer choice: [B]: −5x − 7 > −22 and −5x − 7 ≥ −3 ;
__________________________
Do EACH of these hold true in "Answer choice "B"?
_______________
First let's examine:
_________________
 −5x − 7 > −22 ; Does this hold true?
_____________________
No! Because in the compound inequality given,
−5x − 7 < −22 ; so we already know that "Answer choice: [B]" is incorrect; and thus, it makes no difference whether the other part of "answer choice [B]" is correct or incorrect.
_______________________
Let us consider: "Answer choice: [C]: 5x > −22 and −7 ≥ −3" .
 Do these hold true with respect to our given compound inequality?
____________________________________________________
No; since NEITHER one of of this 2 (two) components given are are part of our compound inequality given.
__________________________________________________
Furthermore, the particular component given: " −7 ≥ −3" does not make sense. "Negative 7" is not 'greater than or equal to' "Negative 3".   -7 ≠ -3 . Additionally, "-7" is LESS THAN—not GREATER THAN—"-3". 
_________________________________________________
Also, "−5x > −22" is NOT part of the compound inequality given. So, "Answer Choice: [C]:  −5x > −22 and −7 ≥ −3" ; is INCORRECT.
___________________________________________________
Additional note: " −5x < −22" is NOT part of the compound inequality given, either.
____________________
The [incorrect] "Answer Choice: [C]:  "−5x > −22 and −7 ≥ −3" ; can be somewhat deceptive.

The compound inequality given:
___________________________
" −22 > −5x − 7 ≥ −3 "  ;   should be viewed as:
_______________________________________
" −22 > (−5x − 7) ≥ −3 " ;
_____________________________________
and the term, "(−5x − 7)" should be treated as one separate term—just like the terms: "(-22)", and "(-3)".
_______________________________________________
Let us consider "Answer choice: [D]: −5x − 7 < −22 and −5x − 7 ≤ −3 " .
_______________________________________________
Start with: −5x − 7 < −22 .  Does this hold true for our original compound inequality? 
________________
Yes!  (Since in our original compound inequality; "−22 > −5x − 7" ;
 and this component of 'Answer choice: [D]' — "−5x − 7 < −22 "— is another way of saying that: "−22 > −5x − 7" (as denoted in our original compound inequality).
___________________
Now, we shall examine the second component of
'Answer choice: [D]' — "−5x − 7 ≤ −3 ".
_____________________
Does this hold true for our original compound inequality? 
_______________________
No!  This second component given in our 'Answer choice'—is:
 "-5x − 7 ≤ −3" ; and in our original compound inequality: 
_______________
"−5x − 7 ≥ −3 " ! 
________________________
As such, since one of the compounds in 'Answer choice: [D]' is incorrect; 
 _______________________________________________
Answer choice: [D]: "−5x − 7 < −22 and −5x − 7 ≤ −3" ;  is incorrect.
______________________________________________________

Tomas orders a meal the costs $7.89.lisa's meal costs $9.05. about how much is combined cost if their meals?

Answers

$7.89 rounded is about $8
$9.05 rounded is about $9
8 + 9 = 17

Their meals together costed about $17

Which of the following recursive formulas represents the same geometric sequence as the formula an = 3 * 3n - 1?

A.an = 9 * an - 1
B.an = 3 * an - 1
C.an = 9 + an - 1
D.an = 3 + an - 1

Answers

The recursive formula that represents the same geometric sequence as [tex]\( a_n = 3 \times 3^{n-1} \)[/tex] is option B: [tex]\( a_n = 3 \times a_{n-1} \).[/tex]

To find the recursive formula that represents the same geometric sequence as [tex]\( a_n = 3 \times 3^{n-1} \)[/tex], we need to find a recursive formula that generates the same sequence.

The formula [tex]\( a_n = 3 \times 3^{n-1} \)[/tex] can be rewritten as:

[tex]\[ a_n = 3 \times 3^{n-1} = 3 \times 3^n \times 3^{-1} = 3 \times \left(3 \times 3^{n-1}\right) \][/tex]

This indicates that each term is 3 times the previous term. So, the recursive formula should involve multiplying the previous term by 3.

Let's examine the options:

A. [tex]\( a_n = 9 \times a_{n-1} \)[/tex] - This represents multiplying the previous term by 9, not 3.

B. [tex]\( a_n = 3 \times a_{n-1} \)[/tex] - This represents multiplying the previous term by 3, which matches the original sequence.

C. [tex]\( a_n = 9 + a_{n-1} \)[/tex] - This represents adding 9 to the previous term, not multiplying it.

D. [tex]\( a_n = 3 + a_{n-1} \)[/tex] - This represents adding 3 to the previous term, not multiplying it.

Therefore, the recursive formula that represents the same geometric sequence as [tex]\( a_n = 3 \times 3^{n-1} \)[/tex] is option B: [tex]\( a_n = 3 \times a_{n-1} \).[/tex]

Use the SAS Congruence Axiom to prove the ASA criterion ...?

Answers

Given the SAS, we can use the CPCPT (congruent parts of congruent triangles are congruent) and get the ASA.

Solve the following equation: 2x - 3 = 17.

a. 5
b. 7
c. 10
d. 12

Answers

I hope this helps you




2x=17+3


2x=20


x=10


Which of the pairs of angles are complementary

Answers

the third choice. complementary angles add up to 90 degees

Which of the following conditions must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population?

Answers

n is greater than or equal to 30 would be the condition that must be met in order to make a statistical inference about a population based on a sample if the sample does not come from a normally distributed population.

10m - p = -n for m please help, I need help

Answers

10m-p=-n
10m-p+p=-n+p
10m=p-n devide by 10
m=(p-n)/10

I need help on this asap i'll give you so many points!!

Answers

So. The total of the interior angles of a triangle, are equal to 180°. So...add them together, and solve for X.

30x+60=180
30x=120
x=4

The distance adjacent to the smallest angle is the smallest.

Carrie=70°
Nayla=87°
Maria=23°

So...the distance across from Maria.

Carrie and Nayla are closest to each other.

Y=1.40x 14.25 solving for x

Answers

x= 0.5012531y
solve for X by simplifying both sides of the equation, than isolating the variables 

Which equation could be used to solve the following system?

x+y=11
4x^2-3y^2=8



A. 4(y + 11)2 – 3y2 = 8

B. 4(11 – y)2 – 3y2 = 8

C. 4(y – 11)2 – 3y2 = 8

D. 4(–11y)2 – 3y2 = 8

Answers

I hope this helps you




x=11-y




4. (11-y)^2-3y^2=8

we have

[tex]x+y=11[/tex]

[tex]x=11-y[/tex] --------> equation A

[tex]4x^{2} -3y^{2}=8[/tex] ----> equation B

Substitute equation A in equation B

[tex]4(11-y)^{2} -3y^{2}=8[/tex]

therefore

the answer is the option B

[tex]4(11-y)^{2} -3y^{2}=8[/tex]

The leg of a right triangle is 2 units and the hypotenuse is 4 units. what is the length, in units, of the other leg of the triangle

Answers

the answer would be the square root of 12
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