Step-by-step explanation:
Let +a+ = liters of 40% solution needed
Let +b+ = liters of 25% solution needed
+.4a+ = liters of HN03 in 40% solution
+.25b+ = liters of HN03 in 25% solution
------------------------------------
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(2) +a+%2B+b+=+57+
-----------------
(1) +.4a+%2B+.25b+=+.26%2A57+
(1) +.4a+%2B+.25b+=+14.82+
(1) +40a+%2B+25b+=+1482+
Multiply both sides of (2) by +25+
and subtract (2) from (1)
(1) +40a+%2B+25b+=+1482+
(2) +-25a+-+25b+=+-1425+
+15a+=+57+
+a+=+3.8+
and, since
(2) +a+%2B+b+=+57+
(2) +3.8+%2B+b+=+57+
(2) +b+=+53.2+
3.8 liters of 40% solution are needed
53.2 liters of 25% solution are needed
check:
(1) +%28+.4a+%2B+.25b+%29+%2F+57+=+.26+
(1) +%28+.4%2A3.8+%2B+.25%2A53.2+%29+%2F+57+=+.26+
(1) +%28+1.52+%2B+13.3+%29+%2F+57+=+.26+
(1) +14.82+=+.26%2A57+
(1) +14.82+=+14.82+
think you should got the answer
Evaluate: 7.921 x 104.
79,210,000
7,921
792.1
79,210 Will mark brainly
Need now!!
Answer:
79,210,000
Step-by-step explanation:
:)
round to the nearest tenth 2.380952381
Answer:
2.4
Step-by-step explanation:
2.380952381 < 2.4
the decimal digits all round up to the next tenth
jordan has 785$ in his savings account. he withdraws 15% of money to pay for school clothes. which is the best estimaye for the amount of money jordan withdraws?
Answer:
52%
Step-by-step explanation:
you got to divide 15 by 785. First 15 goes into 78 5 times which is 75. Then subtract 78 by 75 which is 3. Then bring down the 5 which makes 35 and then 15 goes into 35 two times which is 30 subtract 35 by 30 which is 5 bring up the 5 into a fraction and the ansewer in percentage is 52%.
Please help me with this
answer
is 13.21 because i did the promble on the calculatoor
what is the slope of the number set of 4,1 and 4,8?
Answer:
The entered points belong to a vertical line. There is no slope.
Step-by-step explanation:
what is 6 ( 4 - x) + 2 =
3
Answer:
x= 23/6
x=3.83
x= 3 5/6
all of those are the answers and are equal
hope this helped
can I plz be brainiest
An equation is given.
y=3x+cy=3x+c
Create an equivalent equation by solving for x in terms of y and c.
x=
Answer:
Step-by-step explanation:
123
There's a roughly linear relationship between the length of someone's femur (the long
leg-bone in your thigh) and their expected height. Within a certain population, this
relationship can be expressed using the formula h = 63.4 +2.41f, where h
represents the expected height in centimeters and f represents the length of the
femur in centimeters. What is the meaning of the f-value when h=123?
Answer:
24.73
Step-by-step explanation:
h=63.4+2.41f
h=123
123=63.4+2.41f
59.6=2.41f
24.73=f
If the value of h is 123. Then the length of the femur will be 24.73 centimeters.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The linear equation is given below.
h = 63.4 + 2.41 f
Where h represents the expected height in centimeters and f represents the length of the femur in centimeters.
If the value of h is 123. Then the f-value is given as,
123 = 63.4 + 2.41 f
2.41 f = 59.60
f = 24.73 cm
Assuming that the worth of h is 123. Then, at that point, the length of the femur will be 24.73 centimeters.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
Divide: (1.2 x 10⁷) / (3.0 x 10⁵)
Multiply: (1.5 x 10⁴) x (3.0 x 10⁶)
Answer:
divide: 40
multiply:4.5x10^10
Step-by-step explanation:
Pls help! Consider graphing the linear inequality y>2x-1 on the coordinate plane. Which statement is true?
A. The graph will have a SOLID boundary line, with shading ABOVE.
B. The graph will have a SOLID boundary line, with shading BELOW.
C. The graph will have a DASHED boundary line, with shading ABOVE.
D. The graph will have a DASHED boundary line, with shading BELOW.
Step-by-step explanation:
given the linear inequality y >2x-1 on the coordinate plane.
the true statement is:
C. The graph will have a DASHED boundary line, with shading ABOVE.
for '>' meaning dashed line
Answer:
C. The graph will have a DASHED boundary line, with shading ABOVE.
Step-by-step explanation:
When graphing inequalities:
< or > : dashed line≤ or ≥ : solid line< or ≤ : shading under the line> or ≥ : shading above the lineGiven inequality:
[tex]y > 2x-1[/tex]
Therefore, the graph will have a dashed boundary line and shading above the line.
Learn more about graphing inequalities here:
https://brainly.com/question/27743925
https://brainly.com/question/27959739
find all natural numbers n such that 1+3+5+7+...+(2n-1) sum is divisible by 4
n ∈ natural even numbers
Step-by-step explanation:
1 + 3 + 5 + 7 + … + (2n-1)
a = 1b = 2Uₙ = 2n - 1sum of the first n terms :
Sₙ = n/2(a + Uₙ)
Sₙ = n/2(1 + 2n - 1)
Sₙ = n/2(2n)
Sₙ = n²
∴ so, the solution of n is all natural even numbers
Refer to the attachment
if the breadth of rectangle in one fourth of its length and perimeter is 60 cm ,find the length and breadth of rectangle
Answer:
Breadth/width = 1.936cm, length = 7.746cm
Step-by-step explanation:
Perimeter of a rectangle would be [tex]2L*2W=60cm[/tex] in this case. Breadth is width.
But we can rewrite this equation given that the width is 1/4 the length. This means 4 of the widths would equal one length.
[tex]W=\frac{1}{4}L[/tex]
[tex]L=4W[/tex]
We can substitute L with the 4W
[tex]2(4W)*2(W)=60cm[/tex]
Now we can just solve for the width W.
[tex]8W*2W=60\\16W^2=60\\W^2=\frac{15}{4} \\W=\sqrt{\frac{15}{4} } \\W=\frac{\sqrt{15} }{2}=1.936cm[/tex]
We now know the width is about 1.936cm
We can find the length given our formula before of [tex]L=4W[/tex]
[tex]L=4(\sqrt{\frac{15}{2} } )=2\sqrt{15} =7.746cm[/tex]
So the breadth/width is 1.936cm and the length is 7.746cm.
help asap please!! :(( I need help
Answer:
m1= 43
m2=17
m3=120
m4=m5=m6=60
m7=17
m8=120
m9=43
Step-by-step explanation:
"Given ABC is an isosceles triangle and DBE is an equilateral triangle. we have to find each missing measure.
In triangle ABC,
∠1=∠9 (∵isosceles triangle)
⇒ 4x+3=9x-47
⇒ 9x-4x=3+47 ⇒ 5x=50 ⇒ x=10
Hence, ∠9=∠1=(4x+3)°=4(10)+3=43°
Also, given ΔBDE is an equilateral triangle, and all angle of equilateral triangle are equal.
∴ ∠4+∠5+∠6=180°
⇒ ∠4+∠4+∠4=180° ⇒ 3∠4 = 180° ⇒ ∠4 = 60°
∴ ∠4=∠5=∠6=60°
By exterior angle property, ∠3=∠5+∠6=60°+60°=120°
∠8=∠5+∠4=60°+60°=120°
In ΔABD, ∠1+∠2+∠3=180°
⇒ 43°+120°+∠2=180°⇒ ∠2 = 17°
In ΔABD, ∠9+∠8+∠7=180°
⇒ 43°+120°+∠7=180°⇒ ∠7= 17°"
by SerenaBochenek
Please help me !! Marking brainliest
Which number is the greatest?
A the square root of 125
B the whats root of 30
Answer:
B) √(30)
Step-by-step explanation:
A: The cube root of 125 is 5 because 5^3, or 5 × 5 × 5, equals 125.
B: The square root of 30 is between the numbers 5 and 6, meaning 30 is between 25 and 36. The square root of 30 is about half-way in between 5 and 6, so we can say √(3) ≈ 5.5
Now, when we compared 5.5 and 5, 5.5 is obviously greater. Therefore, the correct answer is B √(30).
Two numbers multiply to be 6 and add to be 5. What are the numbers?
Answer:
The numbers are 2 and 3.
Step-by-step explanation:
Answer:
3 and 2
Step-by-step explanation:
3 x 2= 6
3+2=5
Best answer gets brainleist 5a through 5d
Answer:
x=6
Step-by-step explanation:
5a) 5x-7=2x+18
5b) 6
5c) 23
5d) 30
A ticket to a movie theater costs $5.25. A large lemonade costs $3 and a small popcorn costs $1.55. What is the total cost of going to the movie and buying a large lemonade and a small popcorn?
Answer:
Your answer is 9.8
Step-by-step explanation:
Well, this is fairly simple... You're adding the cost for the move, the cost for large lemonade, and the cost for a small popcorn.
5.25+3= 8.25 | 8.25+1.55= 9.8
Your answer is 9.8
Answer:
$9.80
Step-by-step explanation:
Add the cost of the ticket, lemonade, and popcorn.
total cost=5.25+3+1.55
total cost=9.8
Which means $9.80
Oigan me pueden resolver todo esto por favor,ya me lo están pidiendo y es para hoy porfavor!
Answer:
No ingles
Step-by-step explanation:
Sorry not sorry
What fraction is equivalent to 0.5 + 0.4
Answer:
9/10
Step-by-step explanation:
I used a calculator ! :)
Which is the solution to 5 <3x + 17 <71?
Answer:
D is the most likely answer
Step-by-step explanation:
this problem is strange, but knowing that 3x + 17 has a domain of all reals, all of them are possible, so the only limits are 5 and 71...
PPPPPPPPPPPPPPLLLLLLLLLLLLLLEEEEEEEEEEEEESSSSSSSSSSSSSSSAAAAAAAAAAAAASSSSSSSSSSSSSSSSSSSSEEEEEEEEEEE help me!
Answer:
a
Step-by-step explanation:
A factory uses 220,000 gallons of water to produce
2 tons of steel. How many gallons of water are
needed to produce 1 pound of steel?
A 55 gallons
B 110 gallon
C 110,000 gallon
D 440,000 gallon
What is the value of the digit 6 in
59,732.106?
6 hundredths
B
6 ten-thousandths
6 tentos
6 thousandths
Answer:
6 thousandths.
Step-by-step explanation:
The 1 in the number 59,732.106 would the tenth value.
The 0 in the number 59,732.106 would be the hundreth value since its past the decimal point,
The pattern goes by the tenth, hundredth, thousandth, and then ten-thousandth.
-kiniwih426
Can someone help me with number 4?
HELP, PLEASE HELP ME
please help me solve this problem and figure out how to solve it
Write three fractions that are equivalent to 5/7
Answer:
10/14 or 10 over 14, 15/21 or 15 over 21, and 20/28 or 10 over 28
Step-by-step explanation:
you multiply both numbers by 2, 3, and 4 to make equivalent fractions.
Brainliest would be appreciated thank you!
the output is 7 times the input minus 2
Answer:
7x-2
Step-by-step explanation:
Which line on the graph below has an undefined slope?
Line R has the undefined slope
Answer:
C/R
Step-by-step explanation:
Find and correct the error!
Answer:
Step-by-step explanation:
Jen 's drawing shows that the lines are parallel in fact they are not parallel ! Since their slopes are not equal !
[tex]\displaystyle \left \{ {{y=2x+3} \atop {-y=2x+1}\ \ |\cdot (-1) } \right. => \left \{ {{y=\boldsymbol {2}x+3} \atop {y=\boldsymbol {-2}x-1}} \right. => -2\neq 2[/tex]
They will intersect at point A with coordinates :
[tex]2x+3=-2x-1 \\\\ 4x=4 \\\\ x=-1 \ ; \ y=1 => A(-1 \ ; \ 1)[/tex]