Answer:
Step-by-step explanation:
(-7 - k)/(6 + 4) = -15
(-7 - k)/10 = -15
-7 -k = -150
-k = -143
k = 143
7) (Extra Credit) A chemist needs to mix a 12 % solution with a 20% solution to obtain 180 ounces of a 15% solution. How many ounces of each of the solutions must be used? 12%________ 20%__________
Answer:
Step-by-step explanation:
Let x be the amount of 12%
Let y be the amount of 20%
x + y = 180
x = 180 - y
x(0.12) + y(0.20) = 180(0.15)
(180 - y)(0.12) + y(0.20) = 27
(180)(0.12) - 0.12y + 0.20y = 27
21.6 + 0.08y = 27
0.08y = 5.4
y = 67.5 oz of 20% solution
x = 180 - 67.5 = 112.5 oz of 12% solution
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Answer:
THX for points XD
Step-by-step explanation:
Due Tomorrow: Answer question 21 with steps
[tex]\\ \sf\longmapsto tan28=\dfrac{BC}{AC}[/tex]
[tex]\\ \sf\longmapsto 0.5317=\dfrac{BC}{29.3}[/tex]
[tex]\\ \sf\longmapsto BC=29.3(0.5317)[/tex]
[tex]\\ \sf\longmapsto BC=15.5mi[/tex]
Now
[tex]\\ \sf\longmapsto AB^2=29.3^2+15.5^2[/tex]
[tex]\\ \sf\longmapsto AB^2=848.49+240.25[/tex]
[tex]\\ \sf\longmapsto AB^2=1088.74[/tex]
[tex]\\ \sf\longmapsto AB=32.9mi[/tex]
What is the slope and y intercept form of -5x + 3y =-9.
What is the slope and y intercept form of -x +2y =-20
fast help.
Answer:
y = 5/3x - 3 and y = 1/2x - 10
Step-by-step explanation:
A. -5x + 3y = -9
In order to go from standard to slope-intercept form, we want to isolate y on the left side. We start by adding 5x to both sides:
3y = -9 + 5x
Next, we divide both sides by 3:
y = (-9 + 5x)/3
And then distribute:
y = -9/3 + 5x/3
And finally simplify:
[tex]y = -3 + \frac{5}{3}x[/tex]
And move the numbers on the right to fit the form y = mx + b:
[tex]y = \frac{5}{3}x-3[/tex]
B. -x + 2y = -20
In order to go from standard to slope-intercept form, we want to isolate y on the left side. We start by adding x to both sides:
2y = -20 + x
Next, we divide both sides by 2:
y = (-20 + x)/2
And then distribute:
y = -20/2 + x/2
And finally simplify:
[tex]y = -10 + \frac{1}{2}x[/tex]
And move the numbers on the right to fit the form y = mx + b:
[tex]y = \frac{1}{2}x - 10[/tex]
The fraction 7/9 is found between which pair of fractions on a number line?
A) 3/5 and 3/4
B) 7/10 and 4/5
C) 7/10 and 3/4
D) 3/5 and 2/3
Answer:
B) 7/10 and 4/5
Step-by-step explanation:
Answer:
B) 7/10 and 4/5.
Step-by-step explanation:
Convert the values to decimals
7/9 = 0.7777...
A) = 0.6 and 0.75 - NO.
B) = 0.7 and 0.8 - YES.
a meal came to $16.41 without tax. calculate the 6% sales tax, and then calculate the 15% tip based on the sum of the meal and the tax. what is the total cost of the meal?
Answer:
$20
Step-by-step explanation:
correct me if im wrong(┬┬﹏┬┬)
What would be the next number in this series? 135 45 180 60 240 80
Answer:
135/45 =3
180=45 multiple by 4
180/60=3
240=60 multiple by 4
It is divide.by 3 and multiply by 4
hence =80 multiply 4= 320
someone help me with these 2 questions asap!!
Step-by-step explanation:
we would have needed only one corresponding side length. because for similar triangles all corresponding lines (like sides but also heights and so on) would be related in size by using the same scaling factor.
going from the large to the small triangle : what do I need to multiply the large side length with to get the small one ?
27 × x = 9
x = 9/27 = 1/3
that is the scale factor.
Help !!!!!!!!!!!!!!!!’
Please hurry will mark brainliest if you answer correctly
Answer:
24.3
Step-by-step explanation:
Answer:
The answer would be 24.3
Mary burns 35 calories when she rides her bicycle to the park. After riding, she
burns 9.5 calories per minute while running.
Write a linear equation for the total amount of calories, C, that Mary will burn if
she cycles to the park and runs m minutes.
Answer/Step-by-step explanation:
C = 35 + 9.5m --> This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.
Answer:
C = 35 + 9.5m
Step-by-step explanation:
This means that she burns an initial 35 calories plus 9.5 calories for every minute she runs. This will tell us the total amount of calories she burns for a given amount of time.
If 6 cm represents 2100 meters, how much actual distance does each 1 cm represent?
Answer:
1 cm = 350 meters
Step-by-step explanation:
2100/6 = 350
Katie is 1.83 m tall. George is 9 cm shorter than Katie. How tall is George?
Give your answer in cm
Answer:
174 cm
Step-by-step explanation:
1.83 m to cm is 183.
So, 183 cm - 9 cm = 174cm
Hope you understand ^^
Answer:
174 cm
Step-by-step explanation:
1 meter is equal to 100 centimeter so 1.83m times 100 is equal to 183cm. so 183 cm-9cm=174 cm
(5,3)(6,r) m=-1
Find the value of r so that the line that passes through the pair of points has the given slope
Answer:
Step-by-step explanation:
Slope is change in y over the change in x
(r - 3) / (6 - 5) = -1
(r - 3) / (1) = -1
r - 3 = -1
r = 2
what is the completely factored form of x^4 - 4x^2 + 8x^3 - 32x + 12x^2 - 48? be sure to show all work.
Answer:
x^4 + 8x^2 + 8x^3 - 32x - 48
Step-by-step explanation:
You have to group the terms so the only terms that are similar are -4x^2 and +12x^2. -4x^2+12x^2 =+8x^2
There aren't any other similar terms so you can leave it as x^4 + 8x^2 + 8x^3 - 32x - 48
Answer:
x^4 + 8 x^3 + 8 x^2 - 32 x - 48
Hope This Helps!!!
If
x
=
2
and
y
=
5
, evaluate the following expression:
2
(
3
y
−
4
x
)
please help me solve this problem
find the value of x for which f(x)=4
[tex] \: \: \: [/tex]
[tex]f(x) = 4[/tex]
The domain of a constant function is the set of all real numbers[tex]x = R[/tex]
hope it helps[tex] \: \: \: [/tex]
Find the volume of a coffee can with r= 7.5 cm, h= 16.8 cm, to the nearest cubic centimeter.
Answer:
2969 cm³
Step-by-step explanation:
Volume of cylinder is
V=πr²h
=π*7.5²*16.8
=2968.8
=2969 cm³
156) If x= 2in X A) P= 6.28 in B) P= 10.5 in C) P= 12.57 in D) P= 18.34 in
Answer:
P = 6.28
Step-by-step explanation:
To find the perimeter of a circle, you would use the formula 2πr.
The diameter = x and x = 2
The radius of a circle is half the diameter so r = 1.
Now we just substitute to get our answer:
2 · [tex]\pi[/tex] · r = P
2 · 3.14 · 1 = P
6.28 · 1 = P
6.28 = P
P = 6.28
Complete the equation to show how many tenths are equivalent to 1/2
Answer:
5/10
Step-by-step explanation:
S5 when sn = 19 − 3n
Answer:
[tex]s(5)=4[/tex]
Step-by-step explanation:
I assume you mean this:
[tex]s(n)=19-3n[/tex]
Plug 5 in for n and solve:
[tex]s(5)=19-3(5)\\s(5)=19-15\\s(5)=4[/tex]
original price of a truck $ 17,100.00 Tax 2.5%
What equation represents this sentence? 5 less than a number is 12. n−5=12 5=12−n 5=n−12 5−n=12
Answer:
n-5=12
This is the answer
The algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.
What is Algebra?Algebra is the estimation of mathematical representations, while logic is the manipulation of those symbols.
The given statement is "5 less than a number is 12"
According to the given question, translate the phrase into an algebraic form :
⇒ n - 5 = 12
Thus, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12"
Now the above equation solves for variable n,
⇒ n - 5 = 12
Add 5 to both sides of the above equation,
⇒ n = 12 + 5
⇒ n = 17
Therefore, the algebraic equation n - 5 = 12 represents the sentence " 5 less than a number is 12" and the solution of the equation is the value of variable n is 17.
To learn more about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
If the length of the rectangle is thrice its breadth and breadth is 7 cm. find the perimeter...
Step-by-step explanation:
breath=7
lenghth=3(7)
=21
perimeter of rect=2(l+b)
=2(21+7)
=56
Hi I need help pls
50 points
Answer:
in the first box i do believe it would be 55 and in the second box it would be 45,
Step-by-step explanation:
A shirt cost $24.92 with 10% discount if the sales tax is 6.35% how much will the shirt cost?
NO LINKS!!!
Complete the following problems to the best of your knowledge. Show all your work. Part 1
Step-by-step explanation:
#1a. -6, -9, 12
There is no sequence since the difference between the terms is not common and the ratio of the terms is not commonb. t(n) = 0.5 - 6
There is no sequence as all the terms are same regardless the value of nc. 32, 16, 8
The sequence is geometric as common ratio is 1/2, each next term is half the previous one#2a. 8, 16, 32, 64, ...
This is a geometric sequence as the common ratio is 2b. 1, 1, 2, 3, 5, 8, ...
This is neither one since no common difference or ratio between the consecutive termsc. 5, 5, 5, ...
This is neither one since common difference is zero or common ratio is 1d. -101, -99, -97, -95, ...
This is a arithmetic sequence since the common ratio is 2#3According to question the sequence is:
200000, 100000, 50000, ...We see each number is half the previous one so this is a GP with common ratio of 1/2
need help with identiifying slope thing i sent
Answer:
The slope is -5 and the y intercept is (0,4)
Step-by-step explanation:
The equation is written in slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -5x+4
The slope is -5 and the y intercept is (0,4)
Can someone please help me I will mark u brilliant
Answer:
the whole number 5 goes to the left of the decimal
Step-by-step explanation:
so think about it this way...
I have 10 dots .......... that is 1.0 but if I only have 5 of the 10 I have 0.5. if you have anymore questions just ask and ill help