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kow [346]
3 years ago
6

What amount of a 75% acid solution must be mixed with a 25% solution to produce 500 mL of a 60% solution?

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Step-by-step explanation:

If x is the volume of 75% solution, and y is the volume of 25% solution, then:

x + y = 500

0.75x + 0.25y = 0.60(500)

Solving the system of equations:

0.75x + 0.25(500 − x) = 0.60(500)

0.75x + 125 − 0.25x = 300

0.50x = 175

x = 350

y = 150

You need 350 mL of 75% solution and 150 mL of 25% solution.

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Write the length of the segments that connect each pair of points, in units.
MArishka [77]

The lengths of each of the segments connected by the given pairs of points are:

1. AB = 10 units

2. CD = 17 units

3. EF = 3 units

<h3>How to Find the Length of Segments Connected by Two Points?</h3>

To find the length of a segment connected by two coordinate points, the distance formula is applied, which is:

d = \sqrt{(y_2 - y_1)^2 + (x_2 - x_1)^2}.

1. Find the length of segment AB:

A(5,-3)

B(-3,3)

AB = √[(−3−5)² + (3−(−3))²]

AB = √[(−8)² + (6)²]

AB = √100

AB = 10 units

2. Find the length of segment CD:

C(-2, -7)

D(6, 8)

CD = √[(6−(−2))² + (8−(−7))²]

CD = √(64 + 225)

CD = 17 units

3. Find the length of segment EF:

E(5,6)

F(5,3)

EF = √[(5−5)² + (3−6)²[

EF = √(0 + 9)

EF = √9

EF = 3 units

Learn more about lengths of segments on:

brainly.com/question/24778489

#SPJ1

4 0
1 year ago
Shawn bought a hat for $17.00, shorts for $24.00 and a shirt for $12.00. How much did he spend in all?
lakkis [162]

Answer:

$53

Step-by-step explanation:

17+24=41

41+12=53

3 0
3 years ago
Read 2 more answers
What is the volume of the sphere shown below radius of 13
horsena [70]

The volume of a sphere with radius V=\frac{4\pi}{3} r^3.

Here the radius is r=13. The volume is

V=\frac{4\pi}{3} (13)^3\\ V=9,202.77\;square \; units

7 0
3 years ago
Read 2 more answers
Find the missing y-coordinate that makes the two triangles congruent. Triangle ABC: A(8,4), B(2,6), C(5, 0) Triangle MNO: M(7,4)
Zolol [24]

Answer:

y = 8

Step-by-step explanation:

Two triangles are said to be congruent if all the three sides and three angles of both triangles are equal.

The distance between two points on the coordinate plane is given as:

Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\

In triangle ABC:

|AB|=\sqrt{(2-8)^2+(6-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|AC|=\sqrt{(5-8)^2+(0-4)^2}=5\\\\|BC|=\sqrt{(5-2)^2+(0-6)^2    }=\sqrt{45}

In triangle MNO:

|MN|=\sqrt{(1-7)^2+(2-4^2)}=\sqrt{40} =2\sqrt{10}\\\\|MO|=\sqrt{(4-7)^2+(y-4)^2}\\\\|NO|=\sqrt{(4-1)^2+(y-2)^2    }

Since triangle ABC and triangle MNO are congruent, hence:

|AB| = |MN| = 2√10, |AC| = |MO| = 5, |BC| = |NO| = √45

|AC|=|MO|=5\\\\\sqrt{(4-7)^2+(y-4)^2}=5\\\\(4-7)^2+(y-4)^2=25\\\\9 +(y-4)^2=25\\\\(y-4)^2=16\\\\square\ root\ of\ both\ sides:\\\\y-4=4\\\\y=4+4\\\\y=8

Hence O = (4, 8)

3 0
3 years ago
Order the following numbers from least to greatest. √11, -0.4, (-4/3), 0.8, √2
agasfer [191]

Answer:

(-4/3), 0.4, 0.8, √2, √11

Step-by-step explanation:

√11=3.316624790355399849114932736670686683927088545589353597058

0.4

(-4/3) = -1.33333333333333333333333333333333333333333333333333333333

0.8

√2=1.414213562373095048801688724209698078569671875376948073176


Thus :

(-4/3)

0.4

0.8

√2

√11

8 0
4 years ago
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