Answer:
10:5 OR 2:1
Step-by-step explanation:
Let x be the parts of 25% dextrose and
y be the parts of 10% dextrose are mixed so that
20% dextrose mixture is obtained.
amount of dextrose in the mixture will be 20% of (x+y).
We have to find the value of [tex]\frac{x}y \ OR\ x:y[/tex]
Now, we can apply the concept that sum of amount of dextrose in the two liquids will be equal to the amount of dextrose in the mixture.
[tex]\Rightarrow x \times 25\% + y \times 10\%=(x+y)\times 20\%\\\Rightarrow x \times\dfrac{25}{100} + y \times \dfrac{10}{100}=(x+y)\times \dfrac{20}{100}\\\Rightarrow x \times25 + y \times 10=(x+y)\times 20\\\Rightarrow 25x + 10y=20x+20y\\\Rightarrow 25x -20x =20y-10y\\\Rightarrow 5x=10y\\\Rightarrow \dfrac{x}{y} = \dfrac{10}{5}\\\Rightarrow \bold{x:y=10:5\ OR\ 2:1}[/tex]
So, the answer is 10:5 or 2:1.
Answer:
4.90% is approximately the new Dextrose concentration.
Explanation:
Volume by Volume percent is given by ;
Volume percentage of dextrose solution = 5%
In 100 mL of solution 5 ml of dextrose is present.
Now, volume sterile water added was equal to the 40% of volume of dextrose volume.
So, volume of the sterile water added =
Total volume of the solution after addition of water = 100 mL + 1 mL = 102 mL
New concentration of dextrose will be;
4.90% is approximately the new Dextrose concentration.
Step-by-step explanation:
ast week, the Vargas family drove 30 miles in their car and 15 miles in their truck. The letter m stands for the total number of miles they drove. Which equation can you use to find m?
Answer:
m = 30 + 15
Step-by-step explanation:
The distance traveled by the Vargas family in their car is 30 miles while the distance traveled when using their truck is 15 miles. To get the total distance traveled, we need to add the distance traveled by the truck and the distance traveled by the car. Since m stands for the total number of miles they drove, the equation needed to find the total distance traveled (m) is given as:
m = 30 + 15
m = 45 miles
There are approximately fifty five million metric tons of apples grown each year. It has been estimated that half of all the apples grown are eaten fresh. Approximately how many metric tons of apples are eaten fresh
Answer:
Twenty-seven and a half million metric tons of apples are eaten fresh.
Step-by-step explanation:
The amount of metric tons of apples that are eaten fresh is equal to the half of the total amount of metric tons. That is:
[tex]m = \frac{55,000,000\,m-ton}{2}[/tex]
[tex]m = 27,500,000\,m-ton[/tex]
Twenty-seven and a half million metric tons of apples are eaten fresh.
I am doing a online course on rational expressions, specifically complex fractions without variables, does anyone know what happens in the explanation where I marked it in red. I don't know what they did to get 15/14
Answer:
see below
Step-by-step explanation:
9/ 14
----------
3/5
9/14 ÷ 3/5
Copy dot flip
9/14 * 5/3
Rewriting
9/3 * 5/14
3 * 5/14
Multiply 3*5
15/14
Change from an improper fraction to a mixed number
14/14 + 1/14
1 1/14
Answer:
[tex]\boxed{\mathrm{view \ explanation}}[/tex]
Step-by-step explanation:
9/14 × 5/3
The factors can be canceled if they are factors of both the numerator of the first fraction and the denominator of the second fraction. The factors get cancelled leaving the second fraction to a whole number.
3/14 × 5
(3 × 5)/14
15/14
pls help with sum geometry
YES! quite easily.
I hope you can see the two pairs of corresponding angles between the parallel lines. they'll be equal
and then there's a pair of vertically opposite angle at centre.
that means all pairs of corresponding angles are equal, thus, triangles are similar by AAA
Answer:
[tex]\Large \boxed{\mathrm{D}}[/tex]
Step-by-step explanation:
The triangles can be proven by AA or Angle-Angle similarity.
[tex]\angle QUR \cong \angle TUS[/tex]
The vertical angles are congruent.
[tex]\angle R \cong \angle S[/tex]
The alternate interior angles are congruent.
If BH = 108, find DE.
Answer:
BH= 108 --> 1st until 6th space
so, 108/6 = 18 for each space
DE...?
DE only use 1 space so the answers is 18 unit
I hope this helps^_^
what is the correct symbol?
Answer:
Since 10/9 is greater than 1, multiplying by 10/9 makes the value larger
Step-by-step explanation:
Step 1: Solve the fraction
10/9 = 1.1112
Therefore 10/9 > 1
Step 2: Multiple the fraction by itself
10/9 x 10/9 = 100/81
Convert fraction to decimals
100/81 = 1.2345678901.....
1.234567901 > 1.1112
Therefore 10/9 x 10/9 is bigger than 10/9
Complete the following two-way frequency table.
Answer:
Step-by-step explanation:
Number of candies with Forest = 12
Candies containing coconut and chocolate both = Number common in coconut and the chocolate = 3
Candies which do not contain coconut but contain the chocolate = 6
Candies which contain the coconut but do not contain the chocolate = 1
Candies which neither contain the chocolate nor coconut = 2
From the given Venn diagram,
Contain coconut Do not contain coconut
Contain chocolate 3 6
Do not contain chocolate 1 2
Find an equation of the line with x-intercept 8 and y-intercept 4
Answer:
y = -1/2x + 4
Step-by-step explanation:
We have two points ( 8,0) and ( 0,4)
We can find the slope
m =(y2-y1)/(x2-x1)
= (4-0)/(0-8)
4/-8
-1/2
We can use the slope intercept form
y = mx+b where m is the slope and b is the y intercept
y = -1/2x + 4
Answer:
Step-by-step explanation:
eq. of line with intercepts a and b is
[tex]\frac{x}{a} +\frac{y}{b} =1\\here ~eq. ~of ~line~ is ~ \frac{x}{8} +\frac{y}{4} =1\\or x+2y=8\\[/tex]
WILL GIVE BRAINLIEST
intercept is the length from origin to intersection point of respective axis,
it intersects x axis at -7.5 and y is 0 so x intercept is (-7.5,0)
and similarly, y intercept is (0,5.5)
Answer:
(- 7.5, 0 ) and (0, 5.5 )
Step-by-step explanation:
The x- intercept is the value of x on the x- axis where the line crosses.
Here the line crosses the x- axis at - 7.5 , thus the coordinates of x- intercept
(- 7.5, 0 )
The y- intercept is the value of y on the y- axis where the line crosses.
Here the line crosses the y- axis at 5.5 thus the coordinates of the y- intercept
(0, 5.5 )
help will mark brainlist if it correct If each edge of a cube is increased by 2 inches, the
A. volume is increased by 8 cubic inches
B. area of each face is increased by 4 square
C. diagonals of each face is increased by 2 inches
D. sum of these edges is increased by 24 inches
Answer:
D. sum of these edges is increased by 24 inches -- True
Step-by-step explanation:
Given a cube and its edge is increased by 2 inches.
To study the effect of this increase in the Volume, area of each face, diagonal and sum of edges.
Solution:
Let the side of original cube = a inches.
Formula for volume of cube:
[tex]V =side^3 = a^3[/tex]
If the side is increased by 2 inches, the side becomes (a+2) inches.
So, new volume, [tex]V' = (a+2)^3[/tex]
Using the formula:
[tex](x+y)^3 =x^3+y^3+3xy(x+y)[/tex]
[tex]V' = (a+2)^3 = a^3+8+3\times 2 \times a(a+2)=a^3+8+6a(a+2)[/tex]
So, [tex]V' = V + 8+6a(a+2)[/tex]
Volume increased by 8+6a(a+2) [which is not equal to 8]
So, statement is false:
A. volume is increased by 8 cubic inches -- False
Each face in a cube is a square.
Area of each face, A = [tex]side^2 = a^2[/tex]
New area, A' = [tex](a+2)^2[/tex]
Using the formula: [tex](x+y)^2 =x^2+y^2+2xy[/tex]
[tex]A' = a^2+4+4a[/tex]
Area increased by 4+4a [which is not equal to 4 sq inches]
B. area of each face is increased by 4 square inches -- False
Diagonal of each face = [tex]a\sqrt2[/tex]
Increase of 2 in the edge:
New diagonal = [tex](a+2)\sqrt2 = a\sqrt2+2\sqrt2[/tex]
So, increase of [tex]2\sqrt2[/tex] not 2.
C. diagonals of each face is increased by 2 inches -- False
There are 12 number of edges in a square.
So sum of all 12 edges = 12a
When edge is increased by 2, sum of all edges = 12(a+2) = 12a + 24
An increase of 24.
D. sum of these edges is increased by 24 inches -- True
1. If one zero of the quadratic polynomial kx² + 3x + k is 2 then the value of k is *
Answer:
Step-by-step explanation:
Given one zero of the quadratic polynomial kx² + 3x + k is 2,
Substitute x = 2 in the polyomial , we get
k(2)²+3×2+k = 0
=> 4k + 6 + k = 0
5k+6 = 0
5k= -6
k= -6/5
Therefore,
Value of k = -6/5
Solve the system by substitution.
y = -2
y =
5x + 40
Answer:
x = 8.4
y = -2
Step-by-step explanation:
Step 1: Sub y=-2 into y=5x + 40
-2 = 5x + 40
Step 2: Solve for 'x'
-2 = 5x +40
-42 = 5x
x = 42/5
x = 8.4
Step 3: Solve for 'y'
y is given in the question, y=-2
Pls answer my question ty ;)
Answer:
x=11
Step-by-step explanation:
5x+7=62
5x=62-7
5x=55
x=11
9.Find the perimeter of the triangle formed by points (0,4), (0,0) and (3,0)
(1 Point)
55
1212
1111
None of these
Answer:
12Step-by-step explanation:
A(0,0) ∧ B(3,0) ⇒ AB = 3
A(0,0) ∧ C(0,4) ⇒ AC = 4
From Pythagorean theorem:
AB² + AC² = AB²
3² + 4² = AB²
AB² = 9+16 = 25
AB = 5
Perimeter:
AB + AC + BC = 3 + 4 + 5 = 12
Marlene's ratio of phone calls to text messages is 3 to 5.
If she makes 27 phone calls, how many texts does she
send?
Phone calls to texts is 3 to 5, so for every 3 phone calls she makes 5 texts:
Divide total phone calls by 3:
27/3 = 9
Multiply that by text ratio:
9 x 5 = 45
She sent 45 texts.
[tex]2x {}^{2} + 10x - 72[/tex]
What is the factor
Answer:
2(x-4) (x+9)
Step-by-step explanation:
can someone help? Please
Answer: I can’t help with that because there should be a graph
Step-by-step explanation:
[tex]x + 0.25 = -0.25[/tex]
Answer:
x = -0.5
Step-by-step explanation:
x + 0.25 = -0.25
x = -0.25 - 0.25
x = -0.5
12x + 4y = 152 32x + 12y = 420 what is y?
Answer:
the value of x = 9 and y =11.
Given the system of equation:
12x + 4y =152 .......[1]
32x + 12y = 420 ......[2]
Multiply equation [1] by 3 we get;
Using distributive property:
......[3]
On solving equation [2] and [3] simultaneously we get;
x = 9
Substitute the value of x= 9 in [1] to solve for y;
108 + 4y = 152
Subtract 108 from both sides we have;
108 + 4y -108 = 152- 108
Simplify:
4y = 44
Divide both sides by 4 we get;
Simplify:
y= 11
therefore, the value of x = 9 and y =11.
How many roots does the graphed polynomial function have?
A. 1
B. 2
C. 4.
D. 3 I’m
Answer:
3 roots
Step-by-step explanation:
The roots are the values of x on the x- axis where the graph crosses x- axis
The graph crosses the x- axis at 3 points, thus has 3 roots
The dot plots show 9 scores on a 10 question trivia game for two students. Select all the statements that must be true.
..
:
2
3
5
6
7
4.
Noah's scores
...
2
3
5
6
7
Jada's scores
Noah's scores have greater variability than Jada's scores.
The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.
The mean of Noah's scores is greater than the mean of Jada's scores.
Noah scored better than Jada on every assignment.
Using only Noah's scores, the mean is equal to the median
d
e
Answer:
The correct statements are b, c and e.
Step-by-step explanation:
Consider the dot plot for Noah and Jada's score in the trivia game.
From the dot plot it is quite clear that the data form a bell-shaped curved or a normal curve.
For the normal distribution:
Mean = Median = Mode
Noah's mean score = 5
Jada's mean score = 3
The standard deviation of a data set is the measure of dispersion of the observations of that data set from their mean.
On closely studying the graphs we can see that the Noah and Jada's scores are almost at a same distance from the mean, i.e. the spread of Noah's score is same as the spread of Jada's score.
So, the correct statements are:
b. The standard deviation of Noah's scores is equal to the standard deviation of Jada's scores.
c. The mean of Noah's scores is greater than the mean of Jada's scores.
e. Using only Noah's scores, the mean is equal to the median
An average person's hair grows at a rate of 19cm per year how fast in inches per month does the average person hair grow in conversion factor round you answer to the nearest tenths
Answer:
Around 1.6 cm per month
Step-by-step explanation:
We can set up a proportion to find how much the hair grows per month. It's important to note that there are 12 months in a year, so we can represent a year as 12 months.
[tex]\frac{19}{12} = \frac{x}{1}[/tex]
We can now cross multiply:
[tex]19\cdot1=19\\\\19\div12=1.58\overline{33}[/tex]
1.58333... rounds to 1.6.
Hope this helped!
jojo is twice as Old as esi who in turn is five years older than kweku . if their total age is 47,how is each of them
Answer:
jojo is 26
esi is 13
and kweku is 8 years old.
Step-by-step explanation:
Let esi's age be x then jojo's age is 2x.
Also kweku's age is x - 5. as esi is 5 years older than kweku.
So x + 2x + x - 5 = 47
4x = 47 + 5 = 52
x = 13.
So jojo's age is 2*13 = 26 and kweku's age is 13 - 5 = 8.
Which expressions are equivalent to -f-5(2f-3)
Answer:
-11f +15
Step-by-step explanation:
-f-5(2f-3)
Distribute
-f -10f +15
Combine like terms
-11f +15
Answer:
B
Step-by-step explanation:
We apply distributive property first on the 2f thingie.
The negative 5 is applied on both the 2f and the negative 3 to get
-10f + 15 since two negatives equals a positive in math.
Then we subtract an "f" from the current data to get your answer since the original question was
-f -5 ( 2f - 3 )
So we get
-11f + 15 or B.
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
=================================================
Explanation:
Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y
y = measure of arc CDF
Adding the three arcs forms a full circle of 360 degrees
(arc CBH)+(arc FGH)+(arc CDF) = 360
170+64+y = 360
y+234 = 360
y = 360-234
y = 126
arc CDF = 126 degrees
Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.
inscribed angle = (arc measure)/2
x = (arc CDF)/2
x = 126/2
x = 63
Answer:
rewrite the fromula 126
Step-by-step explanation:
What is the volume of this rectangular prism?
2 cm
7/3 cm
2 cm
Answer:
28\3
Step-by-step explanation:
5. Define Linear Pair.
Answer:
when 2 angles add up to 180 degrees, they form a linear pair
Step-by-step explanation:
Which expressions are equivalent to 2(4f+2g)2(4f+2g)2, left parenthesis, 4, f, plus, 2, g, right parenthesis ? Choose 3 answers: Choose 3 answers: (Choice A, Checked) A 8f+2g8f+2g8, f, plus, 2, g (Choice B) B 2f(4 + 2g)2f(4+2g)2, f, left parenthesis, 4, plus, 2, g, right parenthesis (Choice C) C 8f+4g8f+4g8, f, plus, 4, g (Choice D, Checked) D 4(2f+g)4(2f+g)4, left parenthesis, 2, f, plus, g, right parenthesis (Choice E) E 4f+4f+4g4f+4f+4g
Answer:
8f + 4g
Step-by-step explanation:
Given
2(4f + 2g)
Required
Determine the equivalent expression
2(4f + 2g)
Open the bracket
2 * 4f + 2 * 2g
Perform right operations on the above
8f + 4g
The expression cannot be further simplified; Hence the result of 2(4f + 2g) when simplified is 8f + 4g
Answer: 8f + 4g also 4(2f + g) and 4f + 4f+ 4g
Step-by-step explanation:
solve for x 7x - 3/4 = 6x - 5/8
Answer: x=0.125 or 1/8
Step-by-step explanation:
[tex]7x-\frac{3}{4}=6x-\frac{5}{8}[/tex]
add 3/4 on both sides
[tex]7x-\frac{3}{4}+\frac{3}{4}=6x-\frac{5}{8}+\frac{3}{4}[/tex]
[tex]7x=6x+\frac{1}{8}[/tex]
subtract 6x on both sides
[tex]x=\frac{1}{8}[/tex]
Answer:
x = 1/8
Step-by-step explanation:
7x - 3/4 = 6x - 5/8
7x - 3/4 + 3/4 = 6x - 5/8 + 3/4
7x = 6x + 1/8
7x - 6x = 6x + 1/8 - 6x
x = (6x - 6x) + 1/8
x = 1/8
Which of the following are true statements about David Hilbert?
He invented the point.
He was a German mathematician.
n He developed Hilbert's axioms.
He wrote a blography on Euclid.
Hilbert's Improvements to geometry are still used in textbooks today.
Answer:
he invented the point
he was a German mathematician
he Hilbert's improvements to geometry are still used in textbooks today
he developed Hilbert's axioms
Step-by-step explanation:
Answer:
He was a German mathematician.
If only one is true then you're good to go.
Whoops never mind.. :/