Mathematics Middle School

PLEASE HELP!!! (I made it 15 points but i think u get like 13?)



How much of a spice that is 30% salt should be added to 175 ounces of a spice that is 65% salt in order to make a spice that is 50% salt?

Answers

Answer 1
Answer: 131.25 ounces

--------------------------------------------------

Explanation:

We have two spices. Call them spice A and spice B

Spice A is 30% salt. We do not know how much of this spice to add, so we'll call it x. The x is a placeholder for a number
So on your paper you might write
x = amount of spice that is 30% salt (amount in ounces)
30% of x = 0.30*x is the amount of pure salt we have in spice A

Spice B is 65% salt. We have 175 ounces of this stuff. 
65% of 175 = 0.65*175 = 113.75 ounces are pure salt
So we have 0.30x+113.75 ounces of total pure salt from the two spices combined

The total mix is x+175 ounces. We want 50% of the total mix to be pure salt, so 0.50*(x+175) is the expression that represents this.

Set the expression 0.30x+113.75 and 0.50*(x+175) equal to each other. Solve for x
0.30x+113.75 = 0.50*(x+175)
0.30x+113.75 = 0.50*x+0.50*175
0.30x+113.75 = 0.50*x+87.5
0.50*x+87.5 = 0.30x+113.75
0.50*x-0.30x = 113.75-87.5
0.20x = 26.25
x = 26.25/0.20
x = 131.25

Related Questions

Pedro scored 17 out of 20 on a quiz. What was his score as a percent?

Answers

the answer would be 85% because 17/20= .85 and if you multiply that by 100 it’s 85

Answer:

he's right tried to answer first

Step-by-step explanation:ut 85%

What is the median of 8,42,13,7,50,91

Answers

27.5

Hope this helped :)
Since median is the middle number, the first step to finding the median is listing out the numbers in numerical order. 7, 8, 13, 42, 50, 91. The middle two numbers are 13 and 42 so you add those two numbers together and divide by two to get the average. The median for the set of numbers is 27.5

Can u solve for me because this is confusing and I don’t get the e

Answers

It is 3 pears to 9 apples which is 3:9 which simplifies down to 1:3
The answer is A because 3 and 9 are divisible by 3. Then you divide 3 pears and apples by 3.  THEN YOUR ANSWER IS A.1:3.

7.8 + n = 38.2 plez i need help

Answers

7.8 + n = 38.2
n = 38.2 - 7.8
n = 30.4
subtracr 7.8 from both sides.
38.2 - 7.8 = n

ABCD∼EFGH AD=45 in. , EH=75 in. , and AB=30 in. What is EF ? Enter your answer in the box. EF = in.

Answers

The ~ symbol means that the 2 shapes are similar, meaning the same shape but not the same size.

To determine the measure of side length EF, you must find the relationship between the 2 side lengths.

You should set these up as ratios of the length to the width. So, for ABCD, it is 30/45. Make this equal to x/75. If you simplify the first ratio to 2:3, you can then multiply by both numerator and denominator by 25 to get x = 25 in/ 75 in.

Another way is to use cross products with you proportion. 75 x 30 = 45x. Solve for x to get 50 inches.

Simplify a - {b - [c- (d - e) - f] - g]

Answers

Answer is a - b + c - d + e - f + g


Answer:

After Simplifying we get a - b + c - d + e - f + g

Step-by-step explanation:

We are given : a - { b - [ c - ( d - e ) - f ] - g }

We have to simplify it.

Step 1: First open the parenthesis mean ( ) brackets  

we get ,  a - { b - [ c -  d + e  - f ] - g }

Step 2: Now we open Square brackets .i.e.,  [ ]

we get,  a - { b - c + d - e + f - g }

Step 3: In last we open curly brackets .i.e, { }

we get, a - b + c - d + e - f + g

Therefore, After Simplifying we get a - b + c - d + e - f + g

Please help. +10 Cant figure this one out.

Answers

The correct answer is the last option: 5,12,13
 
 Explanation:
 
 1. The hypotenuse of the triangle is the larger side. Keeping this on mind, you must apply the Phytagorean Theoream, as below:ç
 
 a²=b²+c²
 
 "a" is the hyptenuse and "b" and "c" are the legs of the right triangle.
 
 2. Then, you have:
 
 a=13
 b=12
 c=5
 
 3. If you apply the formula above to calculate the hypotenuse and the result is 13, then those are the lengths of sides of the right triangle. Therefore:
 
 a²=b²+c²
 a=√b²+c²
 a=√(12)²+(5)²
 a=√144+25
 a=13

What number is a common denominator for 3/8and1/3

Answers

Hello!

24 is the LCD for 3/8 and 1/3.

The least common multiple is 24, so the LCD is 24, too. A "Common Denominator" is a number that can be divided by all the denominators in a group of fractions.
A common denominator is when the denominators (or the value in the bottom of the fraction) is made the same through multiplication, etc. 

24 is a common denominator for this example:

3/8(3/3) = 9/24
1/3(8/8) = 8/24

9/24 and 8/24 have common denominators, while their numerators are also multiplied, for 'what you do to the bottom, you do to the top' (sorry forgot the exact term for it)


hope this helps

What is the surface area of the cube


64mm
192mm
384mm
512mm

Answers

384 would be your answer. Hope this helps!
Answer is 384mm .............maybe

Cari is searching online for airline tickets. Two weeks ago, the cost to fly from Boston to Denver was $300. Now the cost is $375. What is the percent increase?

Answers

$300 * 25% = $375.00

25%
373-300=073 or 373+300=673

Find the unknown length x in each right triangle ,to the nearest tenth.please help

Answers

The following are the value of the unknown length x to the nearest tenth;

9. x = 9.0

10. x = 16.3

11. x = 54.1

12. x = 46.7

What is the value of the unknown length?

9.

cos θ = Adjacent / Hypotenuse

cos θ = 90° - 37° = 53°

cos 53° = x/15

cross product

15 × cos 53° = x

15 × 0.601815023152048 = x

x = 9.0272

Approximately, 9.0

10.

cos θ = Adjacent / Hypotenuse

cos 53° = x/27

cross product

27 × cos 53° = x

27 × 0.601815023152048 = x

x = 16.25

Approximately, 16.3

11.

cos θ = Adjacent / Hypotenuse

cos 75° = 14/x

cross product

x × cos 75° = 14

x = 14/cos 75°

x = 14/0.258819045102520

x = 54.1

12.

cos θ = Adjacent / Hypotenuse

cos θ = 90° - 24° = 66°

cos 66° = 19/x

cross product

x × cos 66° = 19

x = 19/cos 66°

x = 19/0.406736643075800

x = 46.7132

Approximately,

x = 46.7

Jennifer is planning a holiday. The hotel costs $60 per night and her flights cost $150. She has a budget of £500 for hotel and flights. Up to how many nights can she afford in the hotel?

Answers

Answer:

5 nights

Step-by-step explanation:

Let x represent the number of nights.  She can spend up to and including 500; this gives us the inequality

60x+150 ≤ 500

Subtract 150 from each side:

60x+150-150 ≤ 500-150

60x ≤ 350

Divide both sides by 60:

60x/60 ≤ 350/60

x ≤ 5.83

Since she cannot stay just a portion of a night, she can stay up to 5 nights.

Final answer:

Jennifer can afford to stay in the hotel for up to 10 nights.

Explanation:

To determine the number of nights Jennifer can afford in the hotel, we need to subtract the cost of the flights from her budget and divide the remaining amount by the cost per night.

First, convert Jennifer's budget from pounds to dollars. Assuming an exchange rate of 1 pound = 1.5 dollars, £500 is equal to $750.

Next, subtract the cost of the flights from Jennifer's budget to find her remaining budget for the hotel. $750 - $150 = $600

Finally, divide the remaining budget by the cost per night to find the number of nights she can afford. $600 / $60 = 10 nights.

Therefore, Jennifer can afford to stay in the hotel for up to 10 nights.

Riley road his bike for 360 minuets. If he traveled 2 miles per hour. How many miles did he travel

Answers

there are 6 hours in 360 minutes
so just multiply 6 times 2 which equals 12
riley traveled 12 miles per hour

5 gallons buckets of paint for $97.45 of a 1 gallon bucket of pain for $21.95.

Answers

The five gallons is cheaper since 97.45 divided by 5 is equal to 19.49.

Answer:

old quetstion xd

Step-by-step explanation:

What is the range of the graph? Please help me and thank you!

Answers

With graphs like this, when you have the lowest point, you follow these steps:

Step 1) Find the lowest point. The lowest point is (1,-4)

Step 2) Find the y coordinate of this lowest point. The y coordinate is y = -4

The range is the set of possible y output values of a function. The range in this case is the set of real numbers y such that [tex]y \ge -4[/tex] (y is greater than or equal to -4). Basically y can equal -4 or it can be larger than -4. It is not possible for y to be smaller than -4

what is the volume of a shpere when the diameter is 6cm?

Answers

The volume of sphere can be found using the formula 4/3πr³

In this case we need to find the radius by dividing the diameter by 2.

radius = 6/2 = 3

Volume:

4/3(3.14)(3)³ = 113.04 cm³

The volume of the sphere with a diameter of 6 is 113.04 cm³

Final answer:

To find the volume of a sphere with a diameter of 6 cm, first determine the radius, which is 3 cm, and then use the formula V = (4/3)πr³ to calculate the volume, resulting in approximately 113.097 cm³.

Explanation:

The volume of a sphere is calculated using the formula V = (4/3)πr³, where V represents the volume and r is the radius of the sphere. When the diameter of the sphere is given as 6 cm, the radius is half of that, which is 3 cm. Therefore, substituting the radius into the formula yields:

V = (4/3)π(3 cm)³ = (4/3)π(27 cm³) = 36π cm³

This results in a volume of approximately 113.097 cm³ (since π is approximately 3.14159).

4. At a baseball game, the ratio of Barons fans to Blue Sox fans is 8 : 3. If you know that at least 22,000 people are attending the game, at least how many Blue Sox fans are there?

Answers

8+3 = 11

22000 / 11 = 2000

2000 x 3 = 6000

 at least 6,000 Blue Sox fans

Answer:


Step-by-step explanation:

2*37=6000


What is the area of this parallelogram?


28 m²

56 m²

84 m²

120 m²

Answers

The area will be 84m^2
because 12x7=84
the area of the parallelogram is divided into 3 areas: two of them for two triangles with the same area and one rectangle.
the area of the rectangle = Length*Width =8*7 =56 sq.m
the area of one of the triangles = 0.5*base*height= 0.5*4*7=14 sq.m
the total area of the parallelogram= 2*area of a triangle+area of the rectanlge
                                                         = 2*14+56 =28+56= 84 sq.m (plz double check the answer with your calculator and follow the same procedure)

Rewrite the following equation in slope-intercept form. 5x − 14y = 16 Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

Final answer:

The equation 5x − 14y = 16, when rewritten in slope-intercept form, is[tex]y = (5/14)x - 8/7.[/tex]

Explanation:

To rewrite the given equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we'll isolate y. Starting with the equation 5x − 14y = 16:

1. Subtract 5x from both sides to move the x term to the other side:

  -14y = -5x + 16

2. Divide every term by -14 to solve for y:

  y = (5/14)x - 8/7

In this form, the coefficient of x represents the slope (m), which is 5/14, and the constant term is the y-intercept (b), which is -8/7. The slope indicates the rate of change of y concerning x, and the y-intercept represents the point where the line intersects the y-axis.

By following these steps, we've successfully transformed the given equation into slope-intercept form, making it easier to interpret and work within the context of linear relationships.

Final answer:

To convert the equation 5x - 14y = 16 to slope-intercept form, solve for y to yield y = (5/14)x - 8/7, where the slope is 5/14 and the y-intercept is -8/7.

Explanation:

To rewrite the equation 5x − 14y = 16 in slope-intercept form, we need to solve for y to get the equation in the form of y = mx + b, where m is the slope and b is the y-intercept.

First, we subtract 5x from both sides of the equation:5x − 14y − 5x = 16 − 5xThis simplifies to −14y = −5x + 16.Next, we divide each term by −14 to solve for y:y = (−5x + 16) / −14Finally, we simplify the equation:y = (5/14)x − 16/14

In simplified form, the slope-intercept form of the equation is y = (5/14)x − 8/7. Here, the slope (m) is 5/14 and the y-intercept (b) is −8/7.

work out 50% of £60
needed asap

Answers

30 UK£ is the answer


A dot ran from -34 to -66. What distance did it cover? If this run took the dot 5 minutes, what was the average speed?

Answers

-100. At a average speed of 20.

The dot's average speed was 384 units per hour

To find the distance the dot covered, we can subtract the initial position from the final position:

Distance = Final position - Initial position

[tex]\[ \text{Distance} = (-66) - (-34) \]\[ \text{Distance} = -66 + 34 \]\[ \text{Distance} = -32 \][/tex]

However, distance is a scalar quantity, so the negative sign indicates the direction. To find the magnitude of the distance, we take the absolute value:

[tex]\[ |\text{Distance}| = |-32| \][/tex]

[tex]\[ |\text{Distance}| = 32 \text{ units} \][/tex]

So, the dot covered a distance of 32 units.

To find the average speed, we use the formula:

[tex]\[ \text{Average speed} = \frac{\text{Distance}}{\text{Time}} \][/tex]

Given that the run took the dot 5 minutes, we need to convert the time to hours for the speed to be in units of distance per hour:

[tex]\[ \text{Time} = 5 \text{ minutes} = \frac{5}{60} \text{ hours} = \frac{1}{12} \text{ hours} \][/tex]

Now, plug the distance and time into the formula:

[tex]\[ \text{Average speed} = \frac{32 \text{ units}}{\frac{1}{12} \text{ hours}} \]\[ \text{Average speed} = 32 \times 12 \]\[ \text{Average speed} = 384 \text{ units/hour} \][/tex]

So, the dot's average speed was 384 units per hour.

3x^2 -9x = 0 Factor and use the zero product property to solve.

Answers

3x(x-3)
x=3 is correct I believe
3x^2 - 9x = 0

3x(x - 3) = 0

x(x - 3) = 0

x = 0   or x - 3 = 0

x = 0   or x = 3

The point (a, b) lies on the line with the equation 3x + 2y = 12. When a = 4, what is the value of b?

Answers

We plug in a as the value of x in the equation, and we get 12 + 2y = 12, which simplifies to 2y = 0 and we get y or b = 0.
---
Hope this helps!

Answer this correct plz

Answers

Hey there!

We need to find the area of the hole. Let’s start off with the top rectangle. The sides are 11 and 3. Multiply the two numbers to get 33. Add the sqaure on the bottom. 3 x 2=6. Add the two shapes to get 39. The answer would be 39 ft 2.

I hope this helps!
11x3= 33
3x2= 6
33+6=39

PLEASE HELP I AM FAILING AND I NEED AYUDA ASAP

Answers

you should select B, C, D, E, and F.

There can be at most 125 customers in a certain resturant. Write an inequality that represents the number of customers in the resturant.

Answers

"At most" means that there can be less than or equal to that amount. 
The symbol for that is ≤. 
So, the inequality is: 
125 ≤ c 
Hope this helps!

Answer:

125 ≤ c

Step-by-step explanation:

How do u solve b+2.25=1

Answers

Subtract 2.25 from 1.
1-2.25= -1.25
simple b=-1.25 because b is a variable.

what values of a, b, c would you use in the quadratic formula for the following equation? 5x^2+9x=0
the expressions are too hard to do so pls tell me the answer

Answers

The answer is:

 a=5
 b=9
 c=0

 Explanation:

1. You can use the quadratic formula to solve quadratic equations with the following standard form:

 ax²+bx+c=0

 2. The quadratic formula is:

 x= (-b±√(b^2-4ac))/2a

 3. You have the following quadratic equation:

 5x²+9x=0

 4. Then:

 5x²+9x+0=0

 a=5
 b=9
 c=0

 5. When you substitute these values into the quadratic formula, you obtain:

 x1=-9/5
 x2=0

Miss Penny inherits $720.


She decides to save some of the money and spend the rest.

The ratio of savings to spending money is 5:4



How much does she save and how much does she spend?


Savings :

Spending Money :

^^ answer ASAP!!

Answers

The ratio is equal to 9 parts (5+4=9). Total (720)/ Total parts (9)= 80
80x5=400 (money saved)
80x4= 320 (money spent)

Find the area of the following circle. ( = 3.14; round answer to the nearest whole number). Circumference = 120 cm. (Hint: Find r from C = 2r (round r to tenths); then find area). Area = cm2

Answers

Circumference = 120
==> 120 = 2*pi*r
[tex] r = \frac{120}{2\pi} = 19.1 [/tex]
[tex] A = \pi r^{2} = 19.1^{2}\pi = 1145.5 cm^{2}[/tex]

Answer:

Area of circle is 1145.50 cm²

Step-by-step explanation:

Given : Circumference of circle = 120 cm

We have to find the area of the given circle.

Consider the given circle

We know circumference of circle = [tex]2\pi r[/tex]

Thus,  [tex]120=2\pi r[/tex]

Put π = 3.14

We have,

[tex]120 =2\times 3.14\times r[/tex]

Divide both sides by 6.28, we have,

r = 19.1 cm

Now, area of circle = [tex]\pi r^2[/tex]

Put r = 19.1

We have

Area of circle  = 1145.50 cm²

Thus, Area of circle is 1145.50 cm²

Other Questions
When a number x is multiplied by 5, it gives the same result as when 48 are added to twice the number. Form an equation in terms of x. Hence, find the number x Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 inches. He will make the "X" by stretching red ribbon diagonally from corner to corner. How many inches of ribbon will Peter need to make the "X"? Round your answer to the nearest inch. Caitlyn has always been a hard-driving, competitive person. she walks fast, talks fast, eats fast, and gets angry fast. caitlyn would likely be described as exhibiting what type of personality? melancholic type a personality type b personality type z personality Explain the mechanisms for movement of materials across cellular membranes anatomy one light year is 5.88 x 10^12 miles. suppose a star is 2.23 x 10^2 light years away from earth. In scientific notation how many miles is it? is 2x-5y=0 a direct variation during the light dependent reaction of photosynthesis ___ is decomposed to supply hydrogen ions to produce nadph and important energy carrying molecules used to help produce glucose during the light independent reaction i need to find the areathere are 3 rectangles and a trapezoid show how plz the sales of lawn mowers t years after a particular model is introduced is given by the function y= 5500 in (9t+4) where y is the number of mowers sold how many mowers will be sold 3 years after a model is introduced The animal phylum most like the protists that gave rise to the animal kingdom is _____. see concept 33.1 (page 688) A plane travels at a speed of 160mph in still air. flying with a tailwind, the plane is clocked over a distance of 550 miles. flying against a headwind, it takes 2 hours longer to complete the return trip. what was the wind velocity? (round your answer to the nearest tenth.) Janey bought a used bicycle for $640. the bike was 3 years old when she bought it, and cost $850 new. assuming it decreases in value by the same amount each year, write a linear equation for the value of the bicycle, v, when it is t years old (so t = 0 was when it was new). In order to grow more of a certain type of cell, a scientist should: a.design a model of that type of cell. b.observe the cell with a light microscope. c.expose the cell to an electron microscope. d.prepare a culture of that type of cell. A sign in front of a roller coaster says ''you must be 40 inches tall to ride'' what percentage of this height is A 34 inches and B 54 inches. Please answer both questions if you can. Why do elephants have ivory tusks? i need help PLEASEEEEEEEEEE!:P Susan is paying $0.30 per $100 on her $483,000 home in homeowners insurance annually. If her annual homeowners insurance premium is divided into twelve equal monthly installments to be included on each of her monthly mortgage payments of $2128.00, what is her total monthly payment?a.$2,248.75b.$2,409.75c.$3,381.00d.$3,577.00 Horses and donkeys can breed and produce offspring known as mules. yet horses and donkeys remain separate species. this is because of the __________ of mules.a. prezygotic sterilityb. inviabilityc. postzygotic inviabilityd. sterilitye. hybrid breakdown The owner of a garden center delivers bags of mulch. Each bag is sold for $6. The owner spends $16 for transportation to deliver the bags. Which of the following is the slope of the profit function for the garden center owner per delivery? Answer Choices m=6 m=6 m=16 m=16 Please help meeeeeeeee The beach was covered in so much debris that my brother and I decided to spend the morning picking up every piece of trash that we could find.Which word in the sentence tells the meaning of the word debris?