Answer:
There would be 12 g of salt (12.3 g actually but rounded) and 88g of water (88.7 g actually but rounded)
Step-by-step explanation:
From the question, a 14% salt solution means 14g of salt in 100g of water.
What this means is that, the fraction of salt to water in the solution would be 14/100 which is same as 7/50
Now, we want to know the amount of salt and the amount of water in a 100g of 14% salt solution.
Looking at the ratio salt to water, we have 7 to 50
For every 50 parts of water, there are 7 parts of salt.
So the ratio of both is 7:50
For salt, the amount in grammes present will be ;
7/(50 + 7) * 100g = 7/57 * 100 = 12.3 g or 12g to the nearest whole number
The amount in grammes of water present will be ;
50/(50 + 7) * 100g = 50/57 * 100 = 87.7g or 88g to the nearest whole number
What is 36/81
in simplest form? HELP!
Answer:
4/9
Step-by-step explanation:
To simplify this fraction, we can find the factors for each number and then take an equal amount out (divide).
Two factors that make up 36 are 4 and 9. Two factors that make up 81 are 9 and 9. Therefore, because 9 is a common factor between the two, we can divide both terms by 9 and simplify the fraction.
36/9 = 4
81/9 = 9
The new fraction is 4/9.
The digit in the unit’s place of the cube of 47 is: a) 9 b) 7 c) 3 d) 1
Answer:
The correct option is;
c) 3
Step-by-step explanation:
In place value, the digits of a large number are grouped in threes with the values arranged from left to right for example from left to right, e can have;
...billion...million...thousands...ones
For the international system, the place value chart can be written as follows;
Millions [tex]{}[/tex] Thousands Ones
Hundred
HM [tex]{}[/tex] TM [tex]{}[/tex] M HT TT U H T U
Where;
HM = Hundred million
TM = Ten million
M = Million
HT = Hundred Thousand
TT = Ten Thousand
T =Thousand
HT = Hundred
TT = Ten
T or U =Ones or units
The cube of 47 is given as follows;
47³ = 103823
Therefore, the digit in the unit place of the cube of 47 is given as follows;
Millions [tex]{}[/tex] Thousands Ones
Hundred
HM [tex]{}[/tex] TM [tex]{}[/tex] M HT TT U H T U
1 0 3 8 2 3
The digit in the unit place of the cube of 47 is 3
The results of a recent survey of the students at Rockdale Middle School show that 17 out of every 22 students enjoy the cafeteria’s cheeseburgers, "5" /"6" of the students enjoy the cafeteria’s pizza, and 80.5% enjoy the cafeteria’s salad bar. Based upon this survey, which of these three foods is most enjoyed?
Answer:
Pizza is the most enjoyed food with 83.3%
Step-by-step explanation:
Given
Cheeseburgers = 17 out of 22 students
Pizza = 5/6
Salad Bar = 80.5%
Required
Which of the food is most enjoyed
First, we have to convert all goven parameters to percentage
[tex]Cheeseburgers = \frac{17}{22}[/tex]
[tex]Cheeseburgers = 77.3\%[/tex]
[tex]Pizza = \frac{5}{6}[/tex]
[tex]Pizza = 83.3\%[/tex]
Comparing the percentages;
Pizza is the most enjoyed food with 83.3%
A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutes. Which system of equations can be used to find x, the speed of the boat in miles per hour, and y, the speed of the current in miles per hour? Recall the formula d = rt. 9 = 0.5(x – y) 9 = 1.5(x + y) 9 = 1.5(x – y) 9 = 0.5(x + y) 0.5 = 9(x – y) 1.5 = 9(x + y) 1.5 = 9(x – y) 0.5 = 9(x + y)
Answer:
This might help u........
Answer:Option B
(B) 9 = 1.5(x – y)
9 = 0.5(x + y)
Step-by-step explanation:
Steve has 84 basketball cards,which is 7 times as many as claire.Claire buys 63 more cards,if b is the number of cards that claire has now then what is the value of b
Answer: Value of B= 75 Basketball cards
Step-by-step explanation:
STEP 1
let number of cards Steve has be =a
let number of cards Claire has be =b
STEP 2
Steve has a= 84 basketball cards
Claire has 7 times less than Steve = 84 /7 = 12=b
STEP 3
if Claire buys 63 more cards
The present value of card Clare now has = 12 +63 = 75 basket ball cards=b
ab/cd=m/n solve for n
Answer:
n = cdm/ab
Step-by-step explanation:
Solving for n:
ab/cd=m/nabn = cdm ⇒ cross- multiplicationn = cdm/ab ⇒ divide both sides by abX + Y is equal to 5 x minus Y is equal to 4 find the value of find the value of x square minus y square
Answer: 20
Step-by-step explanation:
x+y=5
x-y=4
---------
x+y=5
x=4+y
--------
(4+y)+y=5
4+y+y=5
4+2y=5
2y=1
y=0.5
x=4.5
---------
x²-y²=(4.5)²-(0.5)²=20.25-0.25=20
Help meeeee plsssssssssssss
Answer:
Im pretty sure its 27
Step-by-step explanation:
3×3×3
(Oop i did it wrong lolll)
Solve the following equation algebraically 2x ^ 2 = 50
Answer:
x=5
Step-by-step explanation:
[tex]2 {x}^{2} = 50[/tex]
[tex] {x}^{2} = \frac{50}{2} [/tex]
[tex] {x}^{2} = 25[/tex]
[tex]x = \sqrt{25} [/tex]
[tex]x = 5[/tex]
At the candy store there are 420 gumdrops and 280 chocolate bars, for a total of 700 candies all together. What is the ratio of candies to chocolate bars? (
Answer:
5 : 2
Step-by-step explanation:
Given that:
Number of gumdrops = 420
Number of chocolate bars = 280
Total Number of candies = 700
To find:
The ratio of candies to chocolate bars = ?
Solution:
First of all, let us discuss the method to find the ratio of any two quantities.
Suppose, we need to find the ratio of two numbers [tex]p[/tex] and [tex]q[/tex].
Then to find the ratio [tex]p:q[/tex] , we need to divide p by q and represent it in the simplest form [tex]\frac{a}{b}[/tex] such that a and b can not be divided further.
Here, to find the ratio of candies to chocolate bar:
[tex]Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}[/tex]
Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:
[tex]\dfrac{70}{28}[/tex]
Now, let us divide the numerator and denominator by 14:
[tex]\dfrac{5}{2}[/tex]
So, the ratio is 5 : 2
The length of segment EF is 12 cm. Triangle D E F is shown. Angle E D F is 90 degrees, angle D E F is 30 degrees, and angle E F D is 60 degrees. The length of hypotenuse E F is 12 centimeters. Which statements regarding triangle DEF are correct? Select three options.
Answer:
EF is the longest side of △DEF.
DF = 6 cm
DE = 6√ 3 cm
Step-by-step explanation:
got it right edg 2021 :)
Answer:
Measure of angle E = 55
Length of EF = 12.49
Step-by-step explanation:
I got it right
f Tell whether the statement is true or false.
3) Let A = {6, 7, 8, 9, 10, 11), B = {8, 10, 12), C = {6, 7, 9, 11), D = {6, 11), and U = {6, 7, 8, 9, 10, 11, 12). ØD
A) True B) False
Answer:
A true
Step-by-step explanation:
It is the correct answer i have read this
What is the prime factorzation of 54
Answer:
2*3*3*3
Step-by-step explanation:
Answer:
54 = 2×3^3
Step-by-step explanation:
Factor the following integer:
54
Hint: | Is 54 divisible by 2?
The last digit of 54 is 4, which means it is even. Therefore 54 is divisible by 2:
54 = 2 27:
54 = 2×27
Hint: | Now try to factor 27. Is 27 divisible by 2?
27 is not divisible by 2 since 27 is odd and 2 is even:
54 = 2×27 (27 is not divisible by 2)
Hint: | Is 27 divisible by 3?
The sum of the digits of 27 is 2 + 7 = 9, which is divisible by 3. This means 27 is divisible by 3:
27 = 3 9:
54 = 2×3×9 (9 is not divisible by 2 since 27 is not)
Hint: | Now try to factor 9. Is 9 divisible by 3?
9 = 3 3, which means 9 is divisible by 3:
9 = 3 3:
54 = 2×3×3×3 (3 is not divisible by 2 since 9 is not)
Hint: | Now try to factor 3. Is 3 prime?
No primes less than 3 divide into it. Therefore 3 is prime:
54 = 2×3×3×3
Hint: | Express 54 as a product of prime powers.
There is 1 copy of 2 and 3 copies of 3 in the product:
Answer: 54 = 2×3^3
what is 7 to to the power of 2
Answer:
Hey there!
7 to the power of two is 7 times 7 which is 49.
Hope this helps :)
Answer:
49
Step-by-step explanation:
7² = 7 * 7 = 49
Exponents are simply repeated multiplication so 7 to the power of 2 would be 7 multiplied 2 times or 7 * 7.
What is the product of (2x-1) (x+5)?
Answer:
2x^2+9x-5
Step-by-step explanation:
Help me hurry!!!!!!!!
Answer:
A. b = [tex]\frac{2V}{ah}[/tex]
Step-by-step explanation:
[tex]V=\frac{1}{2} abh\\V= \frac{abh}{2} \\\\2V = abh\\\\\frac{2V}{ah} = \frac{abh}{ah}\\\\\frac{2V}{ah} = b[/tex]
2y/(z-y)x=4y solve for x
Answer:
x = 2(z -y)
Step-by-step explanation:
Multiply by the inverse of the coefficient of x.
x = 4y(z -y)/2y
x = 2(z -y) . . . . . . . . y ≠ 0
_____
The equation is meaningless if y = 0.
Evaluate 9-b when b=8
Answer:
[tex]1[/tex]
Step-by-step explanation:
[tex]9 - b = 9 - 8 = 1[/tex]
Hope this helps ;)❤❤❤
Marquetta makes necklaces. Her cost for materials is $4.50 per necklace. She charges that plus a 64% markup. How much does Marquetta charge for a necklace?
Answer:
Step-by-step explanation:
Fat fat fat fat jfjfjfjfjfjfjfmfmfkfkfmfkfmjfmf
. If a car can travel 38 miles on 2.4 gallons of gas, how many miles could the car travel on 6 gallons of gas?
I forgot how to do this
so if you could also explain with your answer please
Answer:
About 95 miles
Step-by-step explanation:
Let's set up a proportion using the following set up:
miles / gallons = miles / gallons
We know the car can travel 38 miles on 2.4 gallons of gas.
38 miles / 2.4 gallons = miles/ gallons
We don't know how far the car can travel on 6 gallons. Therefore, we can say the car travels x miles on 6 gallons of gas.
38 miles / 2.4 gallons = x miles /6 gallons
38/2.4=x/6
We want to find x (miles for 6 gallons). Therefore, we must isolate x.
x is being divided by 6. The inverse of division is multiplication. Multiply both sides by 6.
6*(38/2.4)=(x/6)*6
6*(38/2.4)=x
6*15.8333333=x
94.9999998=x
Let's round to the nearest whole number. The 9 in the tenth place tells us to round up.
95 ≈x
x ≈95 miles
The car can travel about 95 miles on 6 gallons of gas.
Simplify both sides of the following equation as much as possible, and then solve:
10 – 11w + 12w = -2
Answer:
w = -12
Step-by-step explanation:
10 – 11w + 12w = -2
Combine like terms
10 +w = -2
Subtract 10 from each side
10+w-10 = -2-10
w = -12
Answer:
w = -12
Step-by-step explanation:
10 – 11w + 12w = -2
10 + w = -2
subtract 10 on both sides
w = -12
! HELPPP ITS RLLY DUD IN 1 HOURRR HELP MEE PLEASESESS !!! A S A PPP!!!!!!
Answer:
combining 2x and 4x to make 6x
Step-by-step explanation:
Name three different ways you can represent a group of equivalent ratios
7-(-19)-18+(-19)+18
Answer:
My answer is
7+9-18-19+18= -3.
 Evaluate the expression if b=-8, c=-2 , d=3
Answer:
-8
Step-by-step explanation:
Lets plug in all the numbers.
(-2+3)-8
Lets break it down by opening the parenthesis
-2+3= 1
1x-8= -8
Hope this helps!
Answer: -8
Step-by-step explanation:
(c+d)b, if b=-8, c=-2, d=3
---------------
(c+d)b
=[(-2)+(3)](-8) ⇔ substitute c, d, and b
=[-2+3]-8 ⇔ take off parentheses
=1 × -8 ⇔ simplify
=-8
Hope this helps!! :)
Please let me know if you have any question
WILL MARK BRAINLYEST Circle the terms, underline the coefficients and put a box around each constant in the variable expressions below. 2b + 2ac + 5 34abx + 16y + 1 st + 4u + v 14xy + 6 14x + 12y 3 + 6 – 7 + a 4cd + 36 + 5gh 3v + UX + 7 75x + 45y + 35
Answer:
i can help tho
Step-by-step explanation:
a coefficent is a number next to a variable like 2b. a constant is a stand alone number like 5.
A line passes through (10, 2), (30, 6), and (n, -5). What is the value of n?
Answer:
I think n is -25 but im not sure
Step-by-step explanation:
a rectangle has a length of 14 meters and a width of 200 centimeters. What is the area of the rectangle in meters?
Answer:
a=28m^2
Step-by-step explanation:
Given:
l=14m
w=200cm
Required
a=?
w in meters
Formula:
1m=100cm
b=200cm---criss cross it
b*100cm/100cm=1m*200cm/100cm
b=2m
a=l*w
a=14m*2m
a=28m^2
Match the measureable quantity given by its formula with the appropriate unit(s).
BERE
speed = distance/time
meters per second
perimeter = 2 (length) + 2 (width)
square meters
area = (length)(width)
meters
volume = (length)(width)(height)
1
cubic centimeters
Answer:
The answers are in the picture I got it correct as you can see.
Question
If one big rectangle represents "one whole", what fraction of area is shaded gold in the two rectangles?
Enter your answer as an improper fraction, NOT a mixed number.
Submit Question
Answer:
15/8
Step-by-step explanation:
one big rectangle is 1 or 8/8 and the other is 7 out of 8, therefore we have 8/8+7/8 = 15/8.
You are required to find the fraction of the rectangle shaded gold in the two rectangles
The fraction that was shaded in the two triangles is 15/8
Each of the rectangles are divided into 8 equal parts
The first rectangle has 8 equal sections
The second rectangle also has 8 equal sections
out of the 8 equal sections in the first rectangle, 8 was shaded gold
Then, we have 8/8 shaded = 1 whole
out of the 8 equal sections in the second rectangle, 7 was shaded gold
Then, we have 7/8 shaded
Improper fraction is a fraction in which the numerator (top number) is greater than or equal to the denominator (down number)
Therefore, rectangle 1 + rectangle 2
= 8/8 + 7/8
= (8+7) / 8
= 15/8
https://brainly.com/question/17261936