A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the number of ounces of

A = x

B = y

A scientist has two solutions, which she has labeled Solution A and Solution Each contains salt. She knows that Solution A is 40% salt and Solution B is 55% salt. She wants to obtain 90 ounces of a mixture that is 45% salt. How many ounces of each solution should she use?

Our system of equations is given as

x + y = 90.... Equation 1

x = 90 - y

40% × x + 55% × y = 45% × 90 ounces

0.4x + 0.55y = 40.5....Equation 2

We substitute 90 - y for x in Equation 2


Related Questions

If MJ = 30, KL = 32, and ML = 40, what is MK?

Answers

Answer:

MK = 80

M= 10

K= 8                  

In AIJK, the measure of ZK=90°, the measure of ZI=46°, and IJ = 9.2 feet. Find the
length of JK to the nearest tenth of a foot.
J
9.2
X
46
K

Answers

Answer: 6.6

Step-by-step explanation:

I need help how to do it and give me the answers show your work please no links and I will make you brainily person and give you points.

Answers

Answer:

Could you post the question in the comments?

Step-by-step explanation:

If Rihanna deposite 1500 rupees in the school fund at 9 p.C.P.A for 2 years, what is the total amount she will get?

Answers

Answer: 1770 rupees

Step-by-step explanation:

To solve this, we first calculate the simple interest which will be:

= (P × R × T) / 100

= (1500 × 9% × 2) / 100

= (1500 × 0.09 × 2) / 100

= 270

The total amount tha she'll get will be:

= 1500 + 270

= 1770 rupees

help !!!!
my math teacher wants me to answer this, and I have to give the answer in 10 minutes

Answers

45 degrees for x.
Do 180-160 = 20 (Since 180 is a straight line)
The 115, x, and 20 form another straight line, so take 180-20-115. You get 45.

please help its due in 5 mind

Answers

Answer: 6.28



Formula:
C = π • d


π (pi) = 3.14

diameter = 2 in


3.14 • 2 = 6.28

Please help I’m struggling

Answers

Answer:

I believe the answer is 23.

Step-by-step explanation:

90-67=23

Which statement can be modeled by x + 3 ≤12? *

Answers

Answer:A

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope this helps.

Which number is equivalent to 6%? Select all that apply.
6.0
0.06
0.6
6/100
3/50

Answers

Answer:

0.06 and 6/100

Step-by-step explanation:

I need this ASAP
What is the height of the figure

Answers

Answer:

it is 6 I hope that

Step-by-step explanation:

because if division 11 on 759.88

Which statement is true?

A pound is 8 times as heavy as an ounce.

A pound is 10 times as heavy as an ounce.

A pound is 12 times as heavy as an ounce.

A pound is 16 times as heavy as an ounce.

Answers

Answer:

a pound is 16 times as heavy as an ounce

Answer:

Option 4

Step-by-step explanation:

16 times an ounce - - - a pound

Identify all sets of parallel and perpendicular lines in this image.

Answers

Answer:

All four options are correct.

Step-by-step explanation:

Option 1

m∠DPQ = m∠FQB = 90° [Corresponding angles theorem]

By the converse property of corresponding angles theorem,

CD║EF

Since, angle between AB and CD is 90°,

AB⊥CD

True

Option 2

Since, angles between AB and EF is 90°, both will be perpendicular.

AB ⊥ EF

AB ⊥ CD

True

Option 3

CD║EF and AB ⊥ EF

True

Option 4

CD║EF, AB ⊥ CD and AB ⊥ EF

True

Therefore, all options are correct.

A loan requires that the 4% interest be compounded monthly for five years find the number of compounding periods

Answers

Answer:

60 compounding periods

Step-by-step explanation:

The proper formula for compound interest is A = P(1 + r/n)^(nt), where r is the interest rate as a decimal fraction, n is the number of times that interest is compounded in 1 year, and t is the number of years.

In this problem, we don't need to calculate the Amount, but only the number of compounding periods.  That is nt, which here is 12*5, or 60.

Plzzz HURRY IM BEING TIMED!!! What is the area of a square with side length of 4 1/4 m? O 8m squared O 17m squared? O 187 m squared O 204 m squared ​

Answers

Answer:

The answer should be 18.06 but I don't see that as a choice

Please help and show all workings
If [tex]ac^3+bx^2+c[/tex] is divided by (x-3) then the remainder is:


Silly answers will not be tolerated

Answers

Answer:

27a + 9b + c is reminder

Step-by-step explanation:

Remainder theorem says that when p(x) is divided by (x – a) the remainder is given

by p(a)

Let p(x) = ax³ + bx²+ c

P(x) when divided by (x – 3)

Using Remainder theorem, we have

Remainder = p(3) = a(3³) + b(3²) +c

= 27a + 9b + c

i need help on the problem that is in the png so plz answer and thank you!

Answers

Option B, it just makes the most sense

An elementary school has the following students
• 240 students in 3rd grade
• 150 students in 4th grade
..100 students in 5th grade
The librarian wants to know which books are most popular among the school's 3rd-6th grade students. She decides to survey a group rather than all students.which of the following sampling methods will provide the most accurate representation of the populations preferences?
Which of the following sampling methods will provide the most accurate representation of the population's preferences?
select 15 third graders, 15 fourth graders, and 15 fifth graders at random
select 15 third graders, 25 fourth graders, and 40 fifth graders at random
select 40 third graders, 25 fourth graders, and 15 fifth graders at random
select 40 third graders, 40 fourth graders, and 40 fifth graders at random

Answers

Answer: b

Step-by-step explanation:

I need help please!!!

Answers

Answer:

A

Step-by-step explanation:

what's the value of
[tex] \sqrt{2 \times 2} [/tex]

Answers

Answer:

2.82842712475

Step-by-step explanation:

hope it helps.....

Answer:

√{2×2}=√2²=±2 is your answer

If you start with 7,152 grams of a radioactive kind of lanthanum and the half-life is 93 minutes, how much will be left after 186 minutes

Answers

Answer:

1788 grams

Step-by-step explanation:

If you start with 7,152 grams of a radioactive kind of lanthanum and the half-life is 93 minutes, how much will be left after 186 minutes

We are to find Nt

The formula is given as:

Nt = No(1/2)^t/t½

Where

No = Initial amount = 7,152 grams

t = time elapsed = 186 minutes

t½ = Half life = 93 minutes

Nt = Amount of substance left

Nt = 7152(1/2)^186/93

= 1788 grams

A circle with a radius of r units is dilated by a scale factor of 7 to create a new circle. Which statement about the area of the new circle is true?

A. The area of the new circle is 7 times the area of the original circle.

B. The area of the new circle is 14 times the area of the original circle.

C. The area of the new circle is 49 times the area of the original circle.

D. The area of the new circle is squared root 7 times the area of the original circle.

Answers

Answer:

A

Step-by-step explanation:

The scale factor can be defined as the ratio of new dimension of an object after scaling to the original  dimension. The are of the new circle is 49 times the area of the original circle. The correct answer is option C.

What is Scaling factor ?

Scaling factor is a conversion factor used to change the size of a figure without changing its shape. When the size of a figure is increased, it called scaled up and when it decreases it is called as scaled down.

Given that, Scale factor of circle = 7.

Since, the scale factor of a circle is the ratio of new radius to original radius.

The new radius of circle can be written as,

r' = 7r

Thus, the area of new circle is π × (r')^2= π × (49r^2).

Hence, the area of new circle is 49 times the original circle.

To learn more about Scale factor click on,

https://brainly.com/question/22312172

#SPJ2

PLEASE HELP I WILL MARK BRAINLIEST!!
After a parade there were 4 tons of trash to be picked up. By the end of the
day, volunteers had picked up 7,200 pounds of trash. Hon marvy pounds of trash
were still left to be picked up at the end of the day

Answers

1 ton equals 2000 pounds
7200/2000 = 3.6 tons
.4 tons is left to pick up
2000 x .4. = 800 pounds left to pick up

find the solution of given expression

[tex] \sqrt{652 \times 652} [/tex]

Answers

Answer:

652

Step-by-step explanation:

[tex]\sqrt{652 \times 652}[/tex] is equal to [tex]\sqrt{652^{2} }[/tex], and the square root of a number squared is always the original number, so [tex]\sqrt{652^{2} }[/tex] is equal to [tex]652[/tex].

Answer:

√{652×652}=√652²=±652

Step-by-step explanation:

The popular party game Twister is made up of 24 circles with 9 inch diameters.
What is the total area of all the circles?

Answers

Answer:

you have to do 9/2 and then times that by twenty four. that will give you 108

then you do 3.14*108*108=36624.96

Step-by-step explanation:

Answer:

the answer is 63.62 for 1 circle then multiply by 24 which gets 1526.88

Step-by-step explanation:

Please Help

The expression represents the distance in feet an object falls after seconds. The object is dropped from a height of 906 feet.


What is the height in feet of the object 2 seconds after it is dropped?


Write an expression representing the height of the object in feet seconds after it is dropped.

Answers

Answer:

[tex]842\ \text{ft}[/tex]

[tex]y(t)=906-16t^2[/tex]

Step-by-step explanation:

Let [tex]y[/tex] be the height the object from the ground.

[tex]s[/tex] be the initial height of the object = 906 ft

[tex]u[/tex] = Initial velocity = 0

[tex]g[/tex] = Acceleration due to gravity = [tex]32\ \text{ft/s}^2[/tex]

[tex]t[/tex] = Time

The expression would be

[tex]y(t)=s-ut-\dfrac{1}{2}gt^2\\\Rightarrow y(t)=906-16t^2[/tex]

The required expression is [tex]y(t)=906-16t^2[/tex]

At [tex]t=2\ \text{s}[/tex]

[tex]y(2)=906-16\times 2^2\\\Rightarrow y(2)=842\ \text{ft}[/tex]

The height of the object after 2 seconds of falling is [tex]842\ \text{ft}[/tex].

If x=6 and y=−2, evaluate the following expression:x+y​

Answers

Answer:

4

Step-by-step explanation:

x + y = 6 + (-2) = 4

A grocery store sells a bag of 6 oranges for $3.84. What is the cost of oranges, in
dollars per orange?

Answers

Answer:

Each orange would cost $0.64.

Step-by-step explanation:

If you do 3.84 and divide that by 6, you would get the answer of $0.64 for each orange.

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The cost of one orange is $0.64

What is a unit rate?

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

6 oranges = $3.84

Divide both sides by 6.

1 orange = $3.84/6

1 orange = $0.64

Thus,

The cost of one orange is $0.64.

Learn more about unit rates here:

https://brainly.com/question/11258929

$SPJ2


PLEASE HELP!
log Subscript 3 (2x-7)= 4​​

Answers

Answer:

x = 44

Step-by-step explanation:

You can rewrite logarithm equations like so:

[tex]log_{b}(x) = y\\\\x = b^y[/tex]

A way to remember this is the base in the logarithm is also the base in the exponent - then remember this base b is to the power of what's on the other side - and all this is equal to whatever's in the parentheses.

In this case,

[tex]log_3(2x-7) = 4\\2x - 7 = 3^4\\x = (3^4 + 7)/2 = 44[/tex]

The dude on the top is right

what are solid shapes​

Answers

Answer:formele solide sun obiectele care sunt tari dexemple piatra telefonul cubul ele sunt solide

Step-by-step explanaton:

DEFINITION-;

three dimensional figure have Length breadth and height and which have a fixed shape and accupies shapes are called solids

the line segment which to focus in solid meet is called its when three or more faces of a solid meet at one point with point is known as vertex

TYPES

CUBOID

a solid bounded by six rectangular play spaces is called a cuboid

ELEMENT OF CUBOID

it has 6 faces it has 8 vertex it has 12 edge

2 CUBE

a solid cube whose all three dimension Length breadth and height are equal called cube

element of cube

it has 6 faces 8 vertex and 12

3 PRISM

a Prism is a solid whose side faces are rectangle and in the identical polygon in parallel planes

4 PYRAMID

a pyramid is a solid whose base is a flat plane rectilinear figure which may be triangular square rectangular or polygonal the side face of a pyramid are Triangles having a common vertex

5 CONE

it is a solid with a circular base and all is other purpose meet it common point known as vertex

6 CYLINDER

it is a solid with two circular base also if the cross section of prism is circle then is known as cylinder

What's y if x=2.5 and the slope is 5/.2 PLS HELP

Answers

Answer:

5×5=25/10 for mar hada dur kobic

Answer:

25/10

Step-by-step explanation:

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Determine for which nonnegative integers n the statement P(n) must be true if a) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) is true. b) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 3) is true. c) P(0) and P(1) are true; for all nonnegative integers n, if P(n) and P(n 1) are true, then P(n 2) is true. d) P(0) is true; for all nonnegative integers n, if P(n) is true, then P(n 2) and P(n 3) are true 9+6+4+4+4+4+4+4+44+444+44444+444+4+4+4+4+4+4+4+44+44+4=? 5x 9 > 8 + 5x Find the solution set: