Answer:
sure
Step-by-step explanation:
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- 8th Grade Math -
How many grams each of a 10% salt solution and a 5% salt solution must be mixed in order to obtilain 400 grams of an 8% solution? (10% = 10/100)
Answer:
240g of 10% salt solution and 160g of 5% salt solution
Step-by-step explanation:
Simpler way:
Let X be the amount of 10% salt solution and Y be the amount of 5% salt solution.
Then X:Y = 3:2 as you need more 10% salt solution than 5% salt solution to create a 8% salt solution. The ratio 3:2 is given as 10 - 8 = 2 and 8-5 = 3.
If X:Y = 3:2 = 60:40, then 60% of the 400g of 8% salt solution must be the 10% solution and 40% of the 400g of 8% salt solution must be the 5% solution. Therefore, 240g of the 10% salt solution and 160g of the 5% salt solution is needed to create 400g of the 8% salt solution.
This is correct as the amount of salt in the solution is equal to (10% X 240g = 24g) + (5% of 160g = 8g). So the total amount (24+8) 32g should be equal to the amount of salt in the 400g of 8% salt solution.
8% of 400g = 32g which means our answer is correct.
More complex way:
A more complex way is to use algebra.
Let X be the amount of 10% salt solution and Y be the amount of 5% salt solution.
X + Y = 400g
and 10% of X + 5% of Y = 8% of 400
so 1/10 X + 1/20 Y = 32
2X + Y = 640 (multiply the previous equation by 20)
Now from the first line we know that X + Y = 400
So if we subtract (2X+Y) by (X+Y) we can get the value of X:
(2X+Y) - (X+Y) = 640 - 400
2X+Y - X - Y = 240
Therefore X = 240
And since X + Y = 400, Y = 160.
Lenny bought a motorcycle for 30% off the original price. If the original price was $11,500 how much did he pay for the motorcycle on sale?
Identify the graph of the following equation.
x ≥ 1
Answer:
It's the 5th answer / E
Step-by-step explanation:
On-the-Go Phone Company has two monthly plans for their customers. The EZ Pay Plan costs $0.15
per minute. The 40 to Go Plan costs $40 per month plus $0.05 per minute.
a) Write an expression that represents the monthly bill for x minutes on the EZ Pay Plan.
b) Write an expression that represents the monthly bill for x minutes on the 40 to Go Plan.
c) Write an equation to represent the point at which the monthly bills for the two plans are equal.
d) Solve the equation, showing each step.
e) Interpret the solution of the equation within the context of the problem.
Answer:
a. 0.15x
b. 40+0.05x
c. 0.15x=40+0.05x
15x=4000+5x
x=400 min
Find the number that makes the ratio equivalent to 11:77.
:7
Answer:
1
Step-by-step explanation:
divide both side by 11 and you get 1:7
The Mediterranean climate is one of the:
polar climates
low-latitude climates
maritime climates
mid-latitude climates
its one of the maritime climates
Identify each solution as rational or irrational square root of 4 times 2/5
Answer:
I hope this helps <3
Step-by-step explanation:
Using a calculator, √1.6=1.26491.... , which is an irrational number
Brittany went grocery shopping , she spent 4/7 of her money on fresh foods. she spent 2/3 of the remainder of her money on frozen foods. if she spent 22$ on frozen foods. how much money did she spend on fresh foods?
Answer:
$44
Step-by-step explanation:
Let the total amount of money be represented by Y
Amount spent on fresh food =
[tex] \frac{4}{7} \times y[/tex]
Remainder =
[tex]y - \frac{4}{7}y = \frac{3}{7} y[/tex]
Amount spent on frozen foods = two-thirds of remainder = $22
[tex] = \frac{2}{3} \times \frac{3}{7} y = \frac{2}{7} y[/tex]
[tex]\frac{2}{7} y = 22 \\ y = 22 \times \frac{7}{2} \\ y = 77[/tex]
The total amount for grocery shopping is $77
Therefore, Brittany spent $44 on fresh foods
[tex] = \frac{4}{7} \times 77 \\ = 4 \times 11 \\ = 44[/tex]
if there is 1/2 of a pizza and jonas only wants 1/3 of the pizza, how much will he get?
A. 1/5
B. 2/5
C. 1/6
D, 2/6
Answer:
Option C is the right answer.
Step-by-step explanation:
1/2 × 1/3 = 1/6
Answer:
C. 1/6
Step-by-step explanation:
it is not a whole pizza, it is half, so 1/3 of a half pizza is equal to 1/6 a whole pizza.
Point Q is the image of (-7, 2) under a translation of 8 units to the right and 2 units up.
QUESTION: where is point q?
9*10^7 is how many times as large as 3*10^-2
Answer:
A
Step-by-step explanation:
9 is 3 times larger than 3
10^7 is 10^5 times larger than 10^-2.
(just subtract the exponent)
I hope this helps!
pls ❤ and mark brainliest pls!
Please help me! I need details! Please be specific. Thank you!
Pre-algebra
8th grade
I will give everything that I can give you I just need to understand this
Find the number that makes the ratio equivalent to 21:9.
84:
Answer:
36
Step-by-step explanation:
21/9=84/x
x=84(9/21)
x=36
Determine the surface area of the cylinder below.
351.9 m2
301.6 m2
251.3 m2
452.4 m2
Please help me! Thank you
the answer option has been attached
Step-by-step explanation:
the sum of three consecutive odd integers. what are the three integers
Answer:
I dont know
Step-by-step explanation:
Answer:
Complete step-by-step answer:
Sum of 3 consecutive odd numbers is equal to 51.
Let the odd number be ‘x’. Then the next consecutive odd number becomes ‘x + 2’ and the next term becomes x + 2 + 2 = ‘x + 4’.
Now the sum of these three odd consecutive terms = x + x + 2 + x + 4 = 3x + 6.
According to the given, 3x + 6 = 51.
⟹3x = 51 – 6
⟹x =453=15.
Hence, the numbers are 15, 17 and 19.
Note: In order to solve this type of questions the key is to consider a variable to be odd and compute the sum of three consecutive odd numbers in terms of this variable. Then by solving for this variable we can determine the numbers. Any odd number added with 2 gives an odd number itself.
Step-by-step explanation:
A spinner with five equal-sized colored sections is spun with the results shown in the table. Based on the experimental probability, predict the number of green results for 240 trials.
Red Orange Yellow Green Blue
15 17 16 18 14
18
36
54
72
Answer:
I'd guess 54
Step-by-step explanation:
If the sections are all equal sized, there's an equal chance the arrow/spinner would land on them. If you divide 240 by 5, you get 48. The closest number to 48 is 54.
I. Describing a Translation
Example 1: Describe the following translation in words and in coordinate notation
Help!
Farmer Doug has some pigs and chickens.
One day he counted 24 legs 7 heads in the barnyard.
How many of each animal did Farmer Doug Count? __
With Explanation, please!
Please help me!!!!!!!!!!
What is the equation of the line?
Answer:
y = 1/2 - 3/2
Step-by-step explanation:
All we need to do is find the y-intercept of the line using the formula for slope intercept form [ y = mx + b ].
-3 = 1/2(-3) + b
-3 = -1.5 + b
-1.5 = b
We can put all the information we know/solved for into the formula.
y = 1/2 - 1.5
Best of Luck!
Answer:
The equation of the line is y = 1/2x - 3/2
Step-by-step explanation:
Plug in point (-3, 3) with slope 1/2 into y = mx + b
-3 = 1/2(-3) + b
-3 = -3/2 + b
+3/2 +3/2
-------------------
-3/2 = b
hence, y = 1/2x - 3/2
Which is a TRUE statement about the transformation shown?
A
The graph shows a dilation, and the pre-image and image are similar.
B
The graph shows a translation, and the pre-image and image are congruent.
C
The graph shows a reflection, and the pre-image and image are congruent.
D
The graph shows a translation, and the pre-image and image are similar.
Answer:
I think C is the correct answer
Calculate the Mean: 24, 27, 31, 21, 27
Answer: 26
Step-by-step explanation:
mean is the same thing as finding the average
you add up all the numbers then divide by the amount of numbers there are
24+27+31+21+27=130
130\5=26
GIVING BRAINLIEST, THANKS AND FIVE STARS!!
Express each number as a product of its prime numbers.
1. 245
2. 510
3. 250
4. 1,089
5. 4,725
6. 900
18. 27,000
Answer:
Numbers expressed as a product of prime factors are as follows:-1. 245 = 5 × 7 × 7
2. 510 = 2 × 3 × 5 × 17
3. 250 = 2 × 5 × 5 × 5
4. 1089 = 3 × 3 × 11 × 11
5. 4725 = 3 × 3 × 3 × 5 × 5 × 7
6. 900 = 2 × 2 × 3 × 3 × 5 × 5
18. 27000 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5
Evan's pizzeria made 4 thin-crust pizzas and 30 thick-crust pizzas. What is the ratio of the number of thick-crust pizzas to the total number of pizzas?
Answer:
30:34
Step-by-step explanation:
30 = thick crust pizza
4 = thin crust pizza
total = 34
=
30:34
Simplify the following expressions:
1. 12a + 14b + 7a^2 -13b + 3 =
2. (p^4 y^7)^3 =
3. r^8 (ra)^-3 (write without negative exponent) =
4. x^8• (2x)^3 =
Answer:
Anssss::12a+ b+ 7a^ { 2 } +3
Find the size of each missing angle. (image attached)
Answer:
a is right angle
Step-by-step explanation:
A 100-meter sprint is a race using only the straight side of a race track. A 400-meter stick is a race that makes one complete a lap around a racetrack. Why are velocity and speed the same for a 100 m sprint but not a 400 m sprint
Answer
Because velocity and speed differ each other by direction, in a 100 m sprint race the person moves in a straight path without changing its direction where as in a 400 m race. The person moves in a lap around the race track and the direction changes as he turns according to the race track.
Step-by-step explanation:
<3
Help needed asap please
Answer:
I don't understand the language you used