Answer:
Amount of 22% acid solution needed = 29 ml
Amount of 8% acid solution needed = 72 ml
Step-by-step explanation:
Let x=amount of 22% solution needed
Then 101 - x= amount of 8% solution needed
The pure acid in the 22% solution (0.22x) plus the amount of pure acid in the 8% solution 0.08(101 - x) has to equal the amount of pure acid in the final mixture (0.12*101).
The equation to solve is:
0.22x + 0.08(101 - x) = (0.12*101)
0.22x + 8.08 - 0.08x = 12.12
0.14x = 12.12 - 8.08
0.14x = 4.04
x = 4.04 / 0.14
= 28.86
x = 29 ml to the nearest ml
Amount of 22% acid solution needed = 29 ml
Amount of 8% acid solution needed = 101 - x
= 101 - 29
= 72ml
Company A rents copy machines for $300 a month plus $0.05 per copy. Company B charges $600 a month plus $0.01 per copy. For which number of copies do the two companies charge the same amount?
Answer:
7,500 copies
Step-by-step explanation:
First, write the problems as equations. There will be one variable: copies (c):
Company A: .05c + 300
Company B: .01c + 600
In order to find when the companies charge the same amount, Company A = Company B. Using the transitive property you get:
Company A = Company B
.05c + 300 = .01c + 600
Now, you just need to solve for c:
.05c + 300 = .01c + 600
.05c = .01c + 300
.04c = 300
c = 7,500
In conclusion, the companies will charge the same amount of money when 7,500 copies are made in a month.
2x(9+4). Plz help!! I’m not good at math
Answer:
hii 26x
Step-by-step explanation:
2x\left(9+4\right)
26x
Answer:
answer is 26 hope it helps ;)
of 5/6 of 15 Express your answer in simplest form.
Answer:
25/2 = 12 1/2
Step-by-step explanation:
5/6 of 15 =
= 5/6 * 15
= 5/6 * 15/1
= (5 * 15)/(6 * 1)
= 75/6
= 25/2 = 12 1/2
3 more than eight times a number is equal to 19
a. 8n = 19 + 3
b. 8n - 3 = 19
c. 8n + 3 = 19
d. n/8 + 3 = 19
Answer: C. 8n+3=19
8 times a number: 8n
3 more: +3
equals 19:=19
Step-by-step explanation:
A quadratic equation has an axis of symmetry at x = 7 and has a
maximum value at -3. Write the equation.
g(x) = -3(x – 7)?
O g(x) = -(x + 7)2 – 3
O g(x) = -(x – 7)2 – 3
og(x) = (x – 7)2 – 3
Answer:
g(x) = (x - 7)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (7, - 3) and a = 1, thus
g(x) = (x - 7)² - 3
3
Determine if the function is linear.
Show your work.
Answer:
Yes it is
Step-by-step explanation:
In order to find it, you just need to find the slope which the equation is y2-y1/x2-x1
Giving you the slope to be -5/3
and the b value is 16 bc it is 16 at 0
slope equation is y= mx + b
plug -5/3X+16 into your graphing calculator and see that it is a straight line and boom.
(HELP ASAP PLEASE) What is the image of (4, -2) after a dialation of 3
A grocery store sells a bag of 4 oranges for $2.56. What is the unit cost?
Answer:
$0.64
Step-by-step explanation:
Find the Unit Rate: 300 miles in 5 hours
Answer:
60 miles per hour
Step-by-step explanation:
This is a fraction equal to
300 miles ÷ 5 hours
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 5
300 miles ÷ 5
5 hours ÷ 5
=
60 miles
1 hour
=
60 miles
hour
= 60 miles per hour
Answer:
60 miles per hour
Step-by-step explanation:
300/5 = 60
What are measures of 21 and 22?
Answer:
B. m<1=52, m<2=60
Step-by-step explanation:
to find angle 1 you need to subtract 128 from 180 which gives you 52. Then you add 68 and m <1 which gives you 120 and subtract that from 180 giving you 60 for m<2
Chuck has $2,345 he is buying gift cards for some of his friends and each gift card costs $85 whats the greatesy amount of gift cards can he buy and how much money will he have left?
Answer:
$50Step-by-step explanation:
Chuck has $2,345 in total
if one gift card cost $85
we want to find the total number of cards that $2,345 can buy.
so we have to divide $2,345 by $85
= $2,345/85
=27card in total
27*85=$2295
the amount left is
= $2,345 -$2295
=$50
therefore the amount left is $50
Find the zeroes of the polynomial f(x)= 2x² - 5x + 3 and verify the relationship between the zeroes and the coefficients.
The polynomial
f(x) =2ˣ² - 5x + 3
Find :zeroes of the polynomial f(x)= 2x² - 5x + 3
Solution :By factorizing we have ,
→ 2x² - 5x + 3
→2x² -2x - 3x + 3
→2x(x-1)-3(x-1)
→(2x-3)(x-1)
Now the zeroes are
→ 2x - 3 = 0 and → x - 1 = 0
→ x = 3/2 and → x = 1
Verification of relation
Sum of the zeroes = -b/a
⇒ 3/2 + 1 = -(-5/2)
⇒ (3+2)/2 = 5/2
⇒ 5/2 = 5/2
Product of the zeroes = c/a
⇒ 3/2×1 = 3/2
⇒ 3/2 = 3/2
Verified
I hope it will help you.
Regards.
Which of the following is the graph of the equation
y + 4 = -2(x - 4)?
Remember to write your equation in slope-intercept form first!
A
B
C
D
PLS HELP ME I WILL GIVE BRAINLYEST
Answer:
4 cups of flour and 6 batches
Step-by-step explanation:
if you look at the cups of flour you can tell that they're counting by 4 to. while the batches of cookies are counting by 6 take a look for yourself and you'll see it
Describe a sequence of rigid transformations that will take zigzag ABCD onto
zigzag EFGH
please help me
Answer:
see below and attached images
Step-by-step explanation:
1. move ABCD from point A to point E
2. mirror ABCD along y-axis at point A/E
3. rotate ABCD -40° from point A/E
4. ABCD is the same as EFGH.
PLEASE HELP, MARKING BRAINLIEST!!!!
These triangles are congruent by _____.
A. SSS
B. AAS
C. HL
D. Not enough information
Answer:
B. AAS
Step-by-step explanation:
Convert 150 grains to milligrams
Answer:
9179.84
Step-by-step explanation:
150 grams to milligrams is 9179.84
help me please thank you
Answer:
< (less than)
Step-by-step explanation:
15 squared is 225, 220 is less than 225.
-3x + 6 = 21 solve for x and show work.
what is (-2)(-5) equal?
Answer:
10
Step-by-step explanation:
(-2) x (-5) = 10 because 2 negatives cancel out a to create a positive
Solve for z and 45+Z, Thank you!
Answer:
first I added all numbers together including 45. and I got 252. then I subtracted 252 from 360 and got 108. then I decided 108 by 2 and got 54. then I checked so I think answer is 54
A book you had your eye on last year had a price of $12. This year, it is
priced at $15. By what percent did the price increase?
Answer:
3 percent
Step-by-step explanation:
sorry if its wrong, hope this helped
27 less than the product of a number and 5
a. 5n - 27
b. n/5 - 27
c. 27 - n/5
d. 27 - n/5
Answer:
5n-27 A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
In which number does the digit 8 have a value that is ten times as great as the value of the digit 8 in the number 178,643? 84,093 158,936 314,892 810,725
Answer: 84,093
Step-by-step explanation:
To find : The number that have a value that is ten times as great as the value of the digit 8 in the number 178,643
The place value of 8 in 178,643 = 8,000 or eight thousand
Ten times eight thousand = 10 x 8000=80,000
From the given numbers, only 84,093 has that place value .
Hence, the correct number is 84,093
I need help solving this problem:
1/3(3x - 12) = 1/6x + 1/4 - 9
my teacher said the answer is -5.7 but idk how she got that
Answer:
I got that answer also, but i just did the math in my head.
Step-by-step explanation:
What is the decimal form of 1/3
Answer:
0.33333333
Step-by-step explanation:
but if the same number appears more than three times in a row it's just the first number so the correct on would be 0.3;)
ANSWER QUESTION 1 THROUGH 2 AND SHOW HOW YOU GOT YOUR ANSWER.
(1) A farm has 15 rows of fruit trees with 7 trees in each row. The last 4 rows of trees are cherry trees. The remaining trees are orange trees. How many orange trees are on the farm?
(2) At the bakery, there are 5 rows with 12 chocolate chip cookies on each tray. There are 2 trays with 14 cookies on each tray. If 7 cookies are sold. How many cookies are left?
Answer:
Step-by-step explanation:
1) If a farm has 15 rows of fruit trees with 7 trees in each row, the total number of trees in the farm will be 15*7 = 105 trees
If the last four rows of trees are cherry trees, the total numner of cherry trees will be 4 * 7 = 28 trees
Let the total trees in the farm = number of cherry trees + orange trees
orange trees = total trees - cherry trees
orange trees = 105 - 28
orange trees = 77 tress
Hence there are 77 orange trees in the farm
2) If at the bakery, there are 5 rows with 12 chocolate chip cookies on each tray, the total number of cookies on the tray will be 5 * 12 = 60 chocolate cookies
Also if there are 2 trays with 14 cookies on each tray, the total cookies on both tray s will be 2 * 14 = 28 cookies
If 7 cookies are sold, the number of cookies left will be 28 - 7 = 14 cookies
Hence 14cookies will be left over
BUILDING CODE A city has a building code that limits the height of buildings around the central park . The code says that all buildings must be less than 0.1x in height where x is the distance of the building from the center of the park and y is height in feet. Assume that the par center is located at 0. Write an inequality that represents the building code (1 pt)
Answer: 0= y x (x)
Step-by-step explanation: y x x ≠ 0.1x
The required inequality for the height of the building around the park should be y < 0.9x.
Given that,
A city has a building code that limits the height of buildings around the central park. The code says that all buildings must be less than 0.1x in height where x is the distance of the building from the center of the park and y is height in feet. Assume that the par center is located at 0.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
The height of all the buildings must be,
y < x - 0.1x
y < x(0.9)
y < 0.9x
Thus, the required inequality for the height of the building around the park should be y < 0.9x.
Learn more about inequality here:
brainly.com/question/14098842
#SPJ2
Help me this is due at 12:00 :(:(:(
Answer:
3/5, -12 12/15, 51/125
Step-by-step explanation:
just did it
Answer:
3/5; -12 12/25; 51/125
Step-by-step explanation:
Write the first one just like you would say it. You would read 0.6 as six tenths, therefore your answer is 6/10, but don't forget to simplify to 3/5.
Next, you have -12.48. -12 is going to be your whole number. However, you still have 0.48 left so you would write it just how you would say it. You would say it as forty-eight hundredths which is why you would write it as 48/100. Now you just have to simplify it into 12/25. Thus, your final answer would be -12 12/25.
Finally, you have 0.408 which is read as four hundred eight thousandths. Your fraction would then be 408/1000. Now simplify to 51/125.
determine the y-intercept of line y=2x-4
Answer:
(0,4)
Step-by-step explanation:
The y-intercept is 4