Answer:
30 gallons solution 4% and 10 gallons solution 8%
Step-by-step explanation:
x•4%+y•8%=40•5%4x+8y=40•5 and x+y=40
x=40-y
4(40-y)+8y=200
160-4y+8y=200
4y=200-160
4y=40 => y=10 (gallons solution 8%)
=> x=40-10=30 (gallons solution 4%)
30 gallons solution 4% and 10 gallons solution 8%
Are these two expressions equivalent?
5(3+2) and 5.3 + 5.2
Answer:
No
Step-by-step explanation:
5(3+2) = 5(5) = 25
5.3 + 5.2 = 10.5
25 doesn't equal 10.5 therefore 5(3+2) isn't equivalent to 5.3 + 5.2
Gabriel's family is investing $5,000 into two different bonds for college. One bond gave
an interest of 5% per year, and the other 3%. If the combined interest for the year was
$220, how much money was invested in each bond?
The amount invested in the bond that yields 5% is $3500 and the amount invested in the bond that yields 3% is $1500
This question would be solved using simultaneous equation
Two equations can be derived from this question
a + b = 5000 equation 1
0.05a + 0.03b = 220 equation 2
where a = amount invested in the bond that bears 5% per month
b = amount invested in the bond that bears 3% per month
Multiply equation 1 by 0.05
0.05a + 0.05b = 250 equation 3
Subtract equation 2 from 3
0.02b = 30
Divide both sides of the equation by 0.02
b = 1500
Substitute for b in equation 1
a + 1500 = 5000
subtract 1500 from both sides of the equation
a = 5000 - 1500 = 3500
Amount invested in the bond that yields 5% is $3500
Amount invested in the bond that yields 3% is $1500
To learn more about simultaneous equation, please check : https://brainly.com/question/15165519?referrer=searchResults
what is cos 0 when sin 0 = 2/5
Answer:
cos 0 = 1
.................
2. Using what you learned in Question 1, try to write
each of these quadratic expressions as a product of
two linear expressions. That is, try to write each
expression in factored form.
a. x^2 + 5x + 6
b. x^2 + 2x - 15
C. X^2 - 3x + 10
d. x^2 - 9x+8
e. x^2 - 16
f. X^2 - 10x + 6
Answer:
Ans
Step-by-step explanation:
In Q. No. F, 1st page last step there is /2.
OK
5 x (-4)-((-6)-7)
(The X means to multiply)
Answer:
[tex] - 62[/tex]
Step-by-step explanation:
[tex]5 \times ( - 4) - (( - 6) - 7) \\ = - 20 - 42 \\ = - 62[/tex]
Hope it is helpful.....The temperature at 12:00 p.m. was 8°C. At 7:00 p.m., the temperature was -6°C. What was the change in temperature (in degrees Celsius)?
�� 6-degree increase
�� 14-degree increase
�� 6-degree decrease
�� 14-degree decrease
Answer: 14-degree decrease
Step-by-step explanation:
because it is getting colder and we know this because anytime temperature goes from positive to negative it becomes mad cold.
Anyways subtracting 14 from our initial temp at 8 degrees celsius brings us to a brisk -6 celsius
PLEASE HELP I WILL MARK BRAINIEST IF THE ANSWER IS CORRECT!!!!!!!!
6. In triangle ABC, the length of side AB is 12 inches and the length of side BC is 20 inches Which of the following could be the length
of side AC?
A. 6 inches
B. 34 inches
C. 18 inches
D 37 inches
Answer:
C
Step-by-step explanation:
In this situation the two lowest sides, 12 and 18, add to higher than the longest side. This is the only answer that does so.
simplify 6^2n+1x9^nx4^2n÷18^nx2^nx12^2n please help ..Thank you
Answer:
[tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex]
Step-by-step explanation:
Assuming you meant [tex]\frac{6^{2n}+1*9^n*4^{2n}}{18^n*2^n*12^{2n}}[/tex], the answer is [tex]2^{-4 n}\times3^{-2 n} + 3^{-2 n}\times4^{-n}[/tex].
Joan joined her school's band. She bought a viola for $72.21, and a song book
which was $7.25 with a $100 bill. How much change was Joan given?
Hello :D
To do this you need to add the cost of the violin and the song book.
$72.21 + $7.25 = $79.46
$100 - $79.46 = $20.54
The answer is $20.54. I hope this helps :)
What does 2:6 = 14:_______
Answer:
14:42
Step-by-step explanation:
As we got 2 to get to 14, that means that we need to times by 7. Then we times the 6 by 7 to get the answer of 42.
You start at (0, 2). You move right 2 units and down 4 units. Where do you end?
Answer:
(2, -2)Step-by-step explanation:
Translation left or right adds to x-coordinate, translation up or down adds to y-coordinate.
Given coordinate (0, 2) and translation is 2 units right and 4 units down:
x = 0 + 2 = 2y = 2 - 4 = -2The end points is (2, -2)
We have to move x co ordinates 2 more and y coordinate 4less
Do it
[tex]\\ \sf\longmapsto (0,2)[/tex]
[tex]\\ \sf\longmapsto (0+2,2+(-4))[/tex]
[tex]\\ \sf\longmapsto (2,2-4)[/tex]
[tex]\\ \sf\longmapsto (2,-2)[/tex]
We will end at (2,-2)
Hey guys I need help in these. Thanks in advance^^
1) In which operations does the order of the numbers make a difference to the
final answer? Find out what this rule is called.
2) If evaluating the sum 2+3+4 does it make a difference which two numbers !
add first? Is the same true for the other operations? What's this rule called?
Answer:
Read explanation
Step-by-step explanation:
The two operations that you will get the same answer for no matter what order you do it is addition and multiplication.
Bonus: Technically, if you had something like 1-2-3 you could rewrite it as 1 + (-2) + (-3) and now it won't matter the order and for something like 1/2/3 you could rewrite as 1 * (1/2) * (1/3) and not it wont matter the order too!
This propetie is called the associative property of addition and multiplication.
In the second question since its addition the order you do it in does not matter.
Why: If you think of it logically adding in a diffrent order than the question does not matter since in the end your still adding the same ammount.
Remember: You can only swap the orders if everything is addition or multiplication and remember your order of operations when using this propety in the years to come.
Hoped this helped, Eddie K.W.
What is the solution to the equation?
5 = 2/5a
A. 2
B. 4 3/5
C. 12 1/2
D. 25
Answer:
3 rd OptionStep-by-step explanation:
[tex]5 = \frac{2}{5} a[/tex]
=> 5 × 5 = 2a
=> 25 = 2a
[tex] = > \frac{25}{2} = a[/tex]
[tex] = > a = 12 \frac{1}{2} (ans)[/tex]
please help me with this quickly
Explanation:
We follow PEMDAS in reverse to undo every operation that is applied to variable x
Doing so will lead to the following
t = 0.4x + c
t - c = 0.4x
0.4x = t - c
x = (t - c)/(0.4)
The last equation is the same as writing [tex]x = \frac{t-c}{0.4}[/tex] which is what choice B shows.
48 ounces of liquid detergent
for $6.19. Find the unit rate
Hi there!
»»————- ★ ————-««
I believe your answer is:
Around 13 cents.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\rightarrow \frac{dollars}{ounces}= \frac{6.19}{48}=\frac{6.19/48}{48/48}=0.128958... \approx \$0.13[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Solve the compound inequality 8x > –32 or 6x ≤ –48.
Answer:
x>-4 x≤-8
Step-by-step explanation:
Is 16g + 10 - 4g and 20g + 10 equivalent
(a) Find the common difference of an A.P. whose first term is 5 and the number of terms is 30 and sum 1455.
(b) Find the common difference of an A.P. whose first term is 9, the number of terms is 7, and the sum is 0.
it's a optional mathematics Questions please solve him
. Cathy is playing a game with a set of 52 cards. The cards are different
colors and each show a number.
• The probability of randomly selecting a black card is.
• The probability of randomly selecting a red card is.
If Cathy randomly selects a card, what is the probability that her card is
black OR red?
Answer:
something missing here... is this a regular deck of cards Hearts, spades, clubs , and diamonds ? 1/2 red and 1/2 black ... if so....
then.....
P(black) = .5
P(red) = .5
P(red or black) = 1 (100%)
Step-by-step explanation:
Simplify:
6 - 2 =
14 14
Answer:
6-2=1414
Step-by-step explanation:
6-2=1414
now
sub 6 from 2
4=1414
now divide 1414 by 4
1414÷4
[tex]1414 \div 4[/tex]
you will get the answer
Step-by-step explanation:
[tex] \frac{6}{14} - \frac{2}{14} \\ have \: same \: denomenator \: so \: we \\ \: can \: substract \: it \: directly \\ \frac{6 - 2}{14} \\ = \frac{4}{14} = \frac{2}{7} \\ thank \: you[/tex]
Find the height of a clock tower if the angle of elevation from a horizontal point 430 m from its base is 40°.
[tex]\\ \sf\longmapsto tan40=\dfrac{P}{430}[/tex]
[tex]\\ \sf\longmapsto 0.83=\dfrac{P}{430}[/tex]
[tex]\\ \sf\longmapsto P=430(0.83)[/tex]
[tex]\\ \sf\longmapsto P\approx361m[/tex]
P=Height of towerGood science requires that you record your observations accurately.
TrueFalse
Answer:
True.
Step-by-step explanation:
Write down the formula of calculating the average of the individual data
Help!!! can someone help me solve this page im getting really confused I will mark you brainliest ☆ if you help me solve this :)
4 no. one i guess 10
not sure
(a)
537
Given that -+-+-=0, express a in terms of b and c.
a b c
Ar (9² - s)
Make q the subject of the formula p:
a
(b)
Answer:
Here ia your answer
Hope it helps
Answer:
see explanation
Step-by-step explanation:
(a)
[tex]\frac{5}{a}[/tex] + [tex]\frac{3}{b}[/tex] + [tex]\frac{7}{c}[/tex] = 0 ( multiply through by abc to clear the fractions )
5bc + 3ac + 7ab = 0 ( subtract 5bc from both sides )
3ac + 7ab = - 5bc ( factor a out of each term on the left side )
a(3c + 7b) = - 5bc ← divide both sides by (3c + 7b)
a = - [tex]\frac{5bc}{3c+7b}[/tex]
---------------------------------
(b)
p = [tex]\frac{\sqrt{4r(q^2-s)} }{q}[/tex] ( multiply both sides by q )
pq = [tex]\sqrt{4r(q^2-s)}[/tex] ← square both sides
(pq)² = 4r(q² - s) ← distribute
p²q² = 4rq² - 4rs ← subtract 4rq² from both sides
p²q² - 4rq² = - 4rs ( multiply through by - 1 )
4rq² - p²q² = 4rs ← factor out q² from each term on the left side
q²(4r - p²) = 4rs ← divide both sides by (4r - p²)
q² = [tex]\frac{4rs}{4r-p^2}[/tex] ( take the square root of both sides )
q = ± [tex]\sqrt{\frac{4rs}{4r-p^2} }[/tex]
Write an equation in point-slope form of the line that passes through the given point and
has the given slope: (3,4), m=1/3
Answer:
y - 4 = 1/3 (x - 3)
Step-by-step explanation:
Colin, Michael, and John are among 15 singers
in the community choir. Three members of the
choir will be selected at random to sing the
national anthem at the next city council meeting.
What is the probability that Colin, Michael, and
John will be the 3 singers chosen?
A.
1/910
B.
2/1125
C.
1/455
D.
1/5
Answer:
OPTION D
NO. OF SINGERS=15
NO. OF FRIENDS =3
THERE PROBABILITY =3/15=1/5
Is 8 1/4 an irrational number?
Find the equation of the circle
(x + 2)2 + (y + 5)2 = 4
tve
when it is reflected about y = 2x + 1.
Answer:
2x+4+2y+10=4
2x+2y=4-10-4
2(x+y)=-10
x+y=-10/2
x+y=-5
x+2x+1=-5
3x=-6
x=-6/3
x=-2
if you can expplain
Answer:
I can explain. The answer is A
Step-by-step explanation:
Think of it this way: when you write a mixed number, the fraction is out of 100. If the denominator is 8, find 1/8 of 100 by doing 100 divided by 1/8. This gives you 12.5. The entire fraction is 2/8, so we need to multiply 12.5 by 2, since it's only 1/8. 12.5 x 2 gives us 25. In the decimal, this would be equal to .25. A is the only answer that represents the mixed number as a decimal correctly.
