If you add x gal of the 18% mixture, each gallon adds 0.18 gal of salt, so x gal would add 0.18x gal of salt.
The 15 gal of 2% salt mixture already contains 0.02 (15 gal) = 0.3 gal of salt.
The total volume of the new mixture would be (15 + x) gal. To achieve a 7% concentration of salt, you would need to add x gal of the 18% mixture such that
(amount of salt) / (total volume) = (0.3 + 0.18x) / (15 + x) = 0.07
Solve for x :
0.3 + 0.18x = 0.07 (15 + x)
0.3 + 0.18x = 1.05 + 0.07x
0.11x = 0.75
x = 0.75 / 0.11 ≈ 6.82 gal
solve the simultaneous equations
5x + 6y = 3
2x - 3y = 12
Answer: x =3; y = -2
[tex]\left \{ {{5x+6y=3} \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2x-3y=12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {2.\frac{3-6y}{5}-3y =12}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {6-12y-15y=12.5}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {17y=6-60=-54}} \right.\\\\<=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-54/27}} \right.\\\\\\ <=>\left \{ {{x=\frac{3-6y}{5} } \atop {y=-2}} \right.\\\\<=>\left \{ {{x=3} \atop {y=-2}} \right.[/tex]
Step-by-step explanation:
Answer:
x = 3, y = -2.
Step-by-step explanation:
5x + 6y = 3
2x - 3y = 12 Multiply this by 2:
4x - 6y = 24 Now add this to the first equation:
9x = 27
x = 3.
Substitute x = 3 in the second equation:
2(3) - 3y = 12
-3y = 12 - 6 = 6
y = 6 / -3
y = -2.
Use special right triangle ratios to find the length of the hypotenuse.
45°
18
457
A. 18V3
B. 1872
Answer:
Step-by-step explanation:
The length of the hypotenuse is 18√2.
What is hypotenuse?The longest side of the triangle is called as the hypotenuse.
In a right angled triangle, sin 45° = perpendicular /hypotenuse
here, perpendicular side P = 18 units and the hypotenuse H is unknown.
sin 45° = 18 /H
H = 18√2
Thus, the hypotenuse is 18√2.
Learn more about hypotenuse.
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What is the answer to 1112÷1/3
Answer:
3336
Step-by-step explanation:
pls give brainliest
Answer:
3336
Step-by-step explanation:
1112 divided by 1/3 is 1112 times 3/1=
3336
Complete the first step in the solution
4x= 24 4x/ = 24/
4x6=24. i hope this helps if not im sorry
Simplify the following expression: 2(c-8)
Answer:
2c-16
Step-by-step explanation:
Multiply what is inside the parentheses by 2.
Factor the expression. x2-x-6
Answer:
(x+2)⋅(x−3)
Step-by-step explanation:
Answer:
[tex](x-3)(x+2)[/tex]
Step-by-step explanation:
[tex]x^2-x-6\\=x^2-3x+2x-6\\=x(x-3)+2(x-3)\\=(x-3)(x+2)[/tex]
Dave worked 30 hours this week. He makes $15 per hour. What is Dave’s gross pay?
Answer:
$450 of gross pay
Answer:
450
Step-by-step explanation:
160% of what number is 47
Answer:
75.2
Step-by-step explanation:
Answer:
75.2 is the answer
Step-by-step explanation:
the answer is 75.2
What is the Domain and range of y=(x-1)^2-4
Find the sum. Write your answer as a decimal.
-5.74 + 5.5 =
Answer:
-0.24
Step-by-step explanation:
Math is math i just know it in my head i do nt know how tpo explain ithelp please !!!! my brain hurts
Answer:
the answer id d.
Step-by-step explanation:
Find an ordered pair (x,y) that is a solution to the equation
3x-y=6
Answer:
2,0
Step-by-step explanation:
[tex]4 - \frac{2}{3} x = \frac{x - 6 }{5} [/tex]
Answer:
Step-by-step explanation:
60-10x=3x-18
78=13x
x=6
A recursive rule for a sequence is given. Find the first four terms of the sequence.
f(1) = 2
f(n) = 4. f(n – 1), where n is an integer and n > 2.
Answer:
So...
a0 = -2
a1 = (a0)2 - 4 = 4 - 4 = 0
a2 = (a1)2 - 4 = ((a0)2-4)2 - 4 =...= 02 - 4 = -4
For an+1, you may use the previous term (an) if you have just calculated it, rather than calculating it recursively again
a3 = (-4)2 - 4 = 12
The first four terms in the sequence are -2, 0, -4, 12.
Step-by-step explanation:
This recursive sequence is defined as follows:
a0 = -2 [the first term]
an+1 = an2 - 4 [for all other terms, n≥0; note that you cannot find a0 using this line]
Note that this is not "BASE" for a number base, but it is "SUB" for subscript, indicating the term. Sometimes, sequences are written with the first term being a1 and sometimes sequences are written with the first term being a0. This is because there are situations that make one or the other more convenient (for example, starting with elapsed time t=0 makes sense).
To find the value of later terms, a recursive definition requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, which requires that you find the value of the previous term, ... which requires that use the value of the first term.
That's why (joke) that the dictionary definition of "recursive" is "see recursive."
help one question! but pls show work
Answer:
5
Step-by-step explanation:
cant show work i need to draw then
Answer:
-28k^4
Step-by-step explanation:
Grades are due and I NEED THIS TO PASS
Create an equation with one solution of x = −9.
7x − (x − 26) = 2x − ( + x)
1 Remove parentheses.
7x-x+26=2x−x
2 Cancel -x on both sides.
7x+26=2x
3 Subtract 7x from both sides.
26=2x−7x
4 Simplify 2x-7x to -5x.
26=−5x
5 Divide both sides by -5.
26/-5=x
6 Switch sides.
x=26/-5
7 Simplify.
x=-5.2
Help please! I need an explanation but I dont understand this!!!!!!!
Answer:
its to small
Step-by-step explanation:
Determine the value of x.
Question 8 options:
A)
2.2
B)
4.4
C)
2
D)
8.8
Answer:
The answer is: B) 4.4
Step-by-step explanation:
Please help me with 4-6 ASAP I will give 30 points
Answer:
i did that paper made 100 but i was looking for it to help u and when i got it i tripped with my enchaladas im tryna clean it to get the answers
Step-by-step explanation:
Which letter has rotational symmetry?
E
B
Z
V
Answer:
V
Step-by-step explanation:
Which of the following is the most likely the next step in the series ?
Answer:
I believe the likely awnser is c because it is adding one more side on each step.
What’s the quotient ? I’m helping out with my sisters homework once again and I don’t wanna explain it to her. Please help me ;-;
Answer:
quotient is the answer to division. So if 7/2=3 with a remainder of 1, then the quotient is 3
Circle A has a radius of 4 cm and Circle B has a radius of 3 cm. What scale factor would alter circle B to become the size of Circle A? Round your answer to the nearest whole number and only enter the numeric value.
Answer:
B
Step-by-step explanation:
The median age of the science teachers at Mike's school is the same as the median age of the math teachers, but the
ages of the math teachers show greater variability. Which statement most likely describes the data sets?
O The difference in ages between the oldest and youngest math teachers is greater than the difference in ages
between the oldest and youngest science teachers.
There are more math teachers than science teachers at Mike's school.
The average age of the math teachers at Mike's school is greater than the average age of the science teachers.
The oldest teacher in Mike's school is a mathematics teacher.
dyit
Answer:
A
Step-by-step explanation:
THe guy above me explained
The difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
Here,
The age gap between the oldest and youngest math teachers is larger than the age gap between the oldest and youngest science teachers. Option A is a true statement, while all other options are invalid.
Thus, the difference in ages between the oldest and youngest math teachers is greater than the difference in ages between the oldest and youngest science teachers. Option A is correct.
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What is the x- intercept of the line?
Answer:
-1
Step-by-step explanation:
Answer: -1
Step-by-step explanation: though I can't see the numbers, the x intercept is the number that the line hits when it's on the x axis. Assuming that every unit is one, then your answer is -1
I NEED HELP W 36
pls pls pls pls help help!
Answer:
1
Step-by-step explanation:
When you substitute the inside of f(g(2)), you get g(x)=2-4. Then you substitute that answer of -2 and plug it into f(x)=2x+5. Since f(-2)=2(-2)+5 equals to 1, that should be your answer.
Lisa is a fitness instructor. For one month, she recorded the number of people who attended her aerobics class. She then used her data to make the box-and-whisker plot shown. Lisa’s data set includes a single outlier and no duplicate data values.
Which statement describes the effect on the range and interquartile range of Lisa’s data set when the outlier is removed?
---
A The interquartile range increases but the range decreases.
B The range and interquartile range both decrease, but the interquartile range
decreases more.
C The range decreases but the interquartile range increases.
D The range and interquartile range both decrease, but the range decreases more.
please help i will give brainliest what is 50-(20)
Answer:
30
Step-by-step explanation:
Answer:I believe its 30
Step-by-step explanation:
Solve the following equation with rational coefficients
0.8x = 6
y’all really should help me .
Answer:
I think its x=48
Step-by-step explanation:
Answer:
X = 7.5
Step-by-step explanation:
0.8x = 6
x = 6/0.8
x = 7.5
What is the simple interest earned when the principal is $500 at a rate of 10% held in the ban for 8 months?
S.I= PRT /100
where,
P = price $500
R = rate 10%
T = time =8months
= $500*10*8/100
= $40,000/100
S.I = $400