You want to setup an equation that will match the word problem. Let's call the amount of the first brand, F and the amount of the second brand, S.
We want the total mixture to be 310mL so: F + S = 310
Also, you want the total mixture to contain 8% vinegar so: .06F + .11S = .08(310)
Now, we can solve the system of equations using substitution.
F + S = 310
.06F + .11S = .08(310)
F = 310 - S [solve 1st equation for F]
.06(310 - S) + .11S = .08(310) [substitute into 2nd equation]
18.6 -.06S +.11S = 24.8
.05S = 6.2
S = 124
F + 124 = 310 [substitute answer for S back into original equation]
F = 186
Answer: to make a 310mL mixture that contains 8% vinegar, use 186mL of the first brand and 124mL of the second brand.
To make 240 milliliter of mixture that contain 8% vinegar, use 168 milliliter of first brand and 72 milliliter of second brand
What is Linear equation?
An equation between two variables that gives a straight line when plotted on a graph.
What is Percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
Given,
Quantity of vinegar in first brand = 5%
Quantity of vinegar in second brand = 15%
The chef wants to make 240 milliliter of a dressing that 8% vinegar
Consider,
Quantity of first brand = x
Quantity of second brand = y
Then,
x + y = 240
x=240-y
We want total of 8% of mixture by adding first brand and second brand
0.05x + 0.15y = 0.08×240
Substitute the value of x in this equation
0.05(240-y) + 0.15y =19.2
12 - 0.05y + 0.15y = 19.2
0.1y = 7.2
y = 72
Substitute the value of y in first equation
x + y = 240
x + 72 =240
x = 168
Hence, to make 240 milliliter of mixture that contain 8% vinegar, use 168 milliliter of first brand and 72 milliliter of second brand
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You randomly choose one paper clip from a jar. In the jar there are 6 green, 3 white, 4 red, 2 blue, and 5 yellow paper clips.
Find the probability of the following:
Choosing a green paper clip Plz help for test
Answer:
3/10
Step-by-step explanation:
Total paper clip =6+3+4+2+5
=20
Probability of green = number of green/total
= 6/20
leaving in it's lowest term
probability of green=3/20
AngleFAE measures 72º. What other angle must measure
72°?
Angle BFD
Angle DEA
Angle EDF
Angle FBE
Answer: FBE
Step-by-step explanation:
EDGE
y = 5/6x + 2 . y = -5/6x + 9 These lines are...
a. parallel
b. perpendicular
c. intersecting
Answer:
intersecting
Step-by-step explanation:
parallel lines have the same slope
perpendicular lines have slopes that are negative reciprocals
What number is 145% of 4760?
Answer:
The number is 6902
Step-by-step explanation:
Is means equals and of means multiply
What = 145% * 4760
Change to decimal form
What = 1.45 *4760
What =6902
Find the volume of this cylinder. Give your answer to one decimal place.
[tex]V = \pi r^{2} \times h[/tex]
[tex]r = 11 \div 2 = 5.5 \\ h = 14 \\ \pi = 3.14[/tex]
[tex]V = 3.14 \times 5.5 ^{2} \times 14 = 1,329.79[/tex]
Answer: V=1,329.8
Answer:
Step-by-step explanation:
Given
diameter (d) = 11 cm
Height(h) = 14 cm
first calculating the radius
radius = d/2 = 11/2 = 5.5 cm
Now
Volume of the cylinder
=[tex]\pi r^{2}h[/tex]
= 3.14 * (5.5)^2 * 14
= 1329.8 cm^3
Hope it will help
73.7 is 55% of what number?
a. 134
b. 40.5
c. 74.6
d. 0.134
46 is what percent of 65? (Round your answer to the nearest tenth of a percent).
a. 141.3%
b. 70.7%
c. 70.8%
d. 141%
Answer:
a.) Let the total number be : x
∴(73.7÷x) ×100 = 55%
∴x= (73.7×100) ÷ 55
=> 7370÷55
∴x=134
Thus, Option-A.
----------------------------------------------------
b.) Let the percentage be : x
∴x= (46÷65) ×100
∴x= (0.707) × 100
∴x=70.7%
Thus, Option-B.
MARK AS BRAINLIEST.
Describe the transformations of the quadratic function
Answer:
B
Step-by-step explanation:
[tex]x_0 = \frac{ - b}{2a} = 0 \\ y_0 = {0}^{2} + 3 = 3[/tex]
PLZ ANSWER QUICK-MATH TRIG
In ΔFGH, the measure of ∠H=90°, the measure of ∠F=18°, and HF = 9.2 feet. Find the length of FG to the nearest tenth of a foot.
Answer:
FG = 9.7ft
Step-by-step explanation:
Find the diagram in the attachment.
The diagram is a right angled triangle since one of its angle is 90°
Using SOH CAH TOA to calculate the length FG which is the hypotenuse.
According to SOH
Sin∠G = Opposite/Hypotenuse
To get the ∠G,
∠F+∠H+∠G = 180°
18°+90°+∠G = 180°
∠G = 180°-108°
∠G = 72°
Sin72° = 9.2/FG
FG = 9.2/sin72°
FG = 9.67feet
FG = 9.7ft (to the nearest tenth of a foot)
Answer:9.7
Step-by-step explanation:
Cos 18= 9.2/X
Cross multiple
Divided each side by 18
9.2/cos18
Find the area of the semicircle.
Given:
Given that the radius of the semicircle is 4 units.
We need to determine the area of the semicircle.
Area of the semicircle:
The area of the semicircle can be determined using the formula,
[tex]A=\frac{\pi r^2}{2}[/tex]
Substituting π = 3.14 and r = 4, we get;
[tex]A=\frac{3.14 \times (4)^2}{2}[/tex]
Simplifying, we get;
[tex]A=\frac{3.14 \times 16}{2}[/tex]
Multiplying, we get;
[tex]A=\frac{50.24}{2}[/tex]
Dividing, we get;
[tex]A=25.12[/tex]
Thus, the area of the semicircle is 25.12 square units.
Can someone please help
I’ll give brainliest
Answer:
2. a) 0.80a + 1.25c =i
b) 4 x 0.80 = 3.2
2 x 1.25 = 2.5
3.2 + 2.5 = 5.7
4. a) 30
b) 9
c) 50
d) 22.4
A man wants to beautify his front yard by planting four 20−foot-tall palm trees alongside his house. Each tree will need a cylindrical hole that is 34 inches in diameter and 28 inches deep to accommodate the roots. His trash hauler will only take away the excess dirt if it is in rectangular bags that are 2 feet by 1.5 feet by four feet. However, the man can only fill the bags one third of the way or they will be too heavy for him to move. How many bags will he have to buy so he can put all the dirt out for pickup?
He have to buy 4 bags to put all the dirt at once.
Step-by-step explanation:
Radius = 17 inches
Height = 28 inches
Volume of dirt from the cylindrical hole = π(r x r) h
= π(17 x 17) 28
= (3.14) (289) 28
= 25408.88 cubic inches
1 foot = 12 inches
Volume of dirt the bag can hold= 24 x 18 x 48
= 20736 cubic inches of dirt
The man fills only one third of the bag.
The volume of dirt the man fills = (1/3)20736
= 6912 cubic inches
Total bags = 25408.88/6912
= 3.69
= appx. 4 bags
He have to buy 4 bags to put all the dirt at once.
the 6th term of an arithmetic progression is 35 and the 13th term is 77. find the 20th term
20th term= 119
Step-by-step explanation:
Let the first term of AP be a
and common difference be d
nth term is given by,
= a+(n-1)d
6th term = 35
a+(6-1)d= 35
a+5d=35 -----------------(i)
13th term = 77
a+12d= 77----------------(ii)
Now, equation (ii) - (i)
a+12d-(a+5d)= 77-35
a+12d-a-5d= 42
7d=42
d=6
Now, from equation (i)
a= 35-5d= 35-5(6)= 35-30 = 5
20th term= a+19d= 5+19(6)= 119
In an arithmetic progression, the difference between any two successive terms is constant. By using this rule and the term numbers and values given, we can determine that the 20th term of the arithmetic progression is 119.
Explanation:We have two pairs of term number and term value in the arithmetic progression (AP), which are (6, 35) and (13, 77). In an arithmetic progression, the difference between any two successive terms is constant, known as the common difference.
We can calculate the common difference (d) as (77-35)/(13-6) = 42/7 = 6.
Next, we find the first term (a) using the formula for the nth term of an AP, which is a = An - (n-1)*d. Using 6th term values, a = 35 - (6-1)*6 = 5.
Finally, we find the 20th term (A20) using the formula An = a + (n-1)*d. This gives us A20 = 5 + (20-1)*6 = 119.
So, the 20th term of this arithmetic progression is 119.
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1,000 divided by 1/4?
Step-by-step explanation:
[tex] \frac{1000}{ \frac{1}{4} } [/tex]
Doing reciprocal we get
= 1000 * 4
= 4000
Hope it will help you.
Answer:
4000
Step-by-step explanation:
If you divide by a fraction, you get the reciprocal of the fraction, and multiply by it
The reciprocal of 1/4 is 4
1000 * 4 is 4000
Given the function y = x^2- 4x, what are the zeros of the polynomial function
Answer:
x = 0 and x = 4
Step-by-step explanation:
The two terms on the right have x as a common factor, so the function can be factored as ...
y = x(x -4)
The zeros are the values of x that make y = 0, so we want the solutions to ...
0 = x(x -4)
The Zero Product Rule tells us that a product will be zero if and only if at least one factor is zero. Here, the factors are x and (x-4). They are zero when ...
x = 0 or x = 4 . . . . . the zeros of the function
why in math is X first (X,Y) but we graph Y first.
Answer:
You can graph it doing either first, trick question
Step-by-step explanation:
Answer:
The order in which you write x- and y-coordinates in an ordered pair is very important. The x-coordinate always comes first, followed by the y-coordinate.
Step-by-step explanation:
I need to know if the following pairs of expressions are equivalent!
10a - 7a and 5a + 2a - 4a
9 - 4y and 4y - 9
6 + s and 6s
2c + 6c + 9 - c - 4 and 7c + 5
Answer:
Step-by-step explanation:
1) 10a - 7a = 3a {10a & 7a are like terms. So we can subtract}
5a + 2a - 4a = 7a - 4a = 3a {5a, 2a, 4a are like tems}
So, 10a - 7a and 5a + 2a - 4a are equivalent expressions
2) 9 - 4y and 4y - 9 are not equivalent
3) 6 + s means 6 is added to s
6s means 6 is multiplied by s.
6 + s and 6s are not equivalent expressions
4) 2c + 6c +9 - c - 4 = 2c + 6c - c + 9 - 4
= 8c - c + 5
= 7c + 5
7c + 5
2c + 6c +9 - c - 4 and 7c + 5 are equivalent expressions
A unicycle wheel has a diameter of 25 inches. How many inches will the unicycle travel in 4 revolutions?
Use T = 3.14 and round your answer to the nearest
hundredth of an inch
Answer:
The distance travelled was 314 inches.
Step-by-step explanation:
In order to calculate the distance that the unicycle will travel in 4 revolutions we first need to know the length of it's wheel, this is calculated by using the formula bellow:
length = 2*pi*r
Where r is the radius of the wheel that is equal to r = d/2
length = 2*pi*(d/2) = 2*3.14*(25/2) = 3.14*25 = 78.5 inches
If the wheel made 4 complete revolutions then the distance travelled was 4 times the length of it's wheels. We have:
distance = 4*length = 4*78.5 = 314 inches
The distance travelled was 314 inches.
What is the growth factor of the exponential function
represented by the table?
0.2
0.1
5
20
PLEASE HELP
Answer:
the answer is 5
Step-by-step explanation:
Solve.
{y=x−63x+2y=8
Use the substitution method.
Write your answer as a coordinate point (x,y).
Jeremy's scores for the first 20 times he played the card game, Clubs and Swords, are listed. 50, 199, 246, 356, 89,
210, 391, 325, 273, 260, 100, 172, 123, 167, 194, 172, 23, 426, 75,239
Complete the Frequency Table to display Jeremy's scores.
Score
Frequency
0-100
_________
Answer:
Score: 0 - 100
Frequency: 5
Score: 100 - 200
Frequency: 6
Score: 200 - 300
Frequency: 5
Score: 300 - 400
Frequency: 3
Score: 400 - 500
Frequency: 1
URGENT easy math multiple choice
Answer:
C) x = -1
Step-by-step explanation:
I graphed the equation below on the graph.
If this answer is correct, please make me Brainliest!
Answer:
C
Step-by-step explanation:
Based on the pattern in the table, what is the value of a?
Powers of 2
Value
2 Superscript negative 1
One-half
2 Superscript negative 2
One-fourth
2 Superscript negative 3
one-eighth
2 Superscript negative 4
StartFraction 1 Over 16 EndFraction
2 Superscript negative 5
StartFraction 1 Over 32 EndFraction
2 Superscript negative 6
a
Answer: StartFraction 1 Over 64 EndFraction
Step-by-step explanation: Based on the pattern, the fraction keeps increasing. It keeps multiply itself by 2.
(I could be wrong, hopefully I'm Not)
The required value of a is 1/64.
Table is given y = [tex]2^x[/tex]
X = -1 -2 -3 -4 -5 -6
Y = 1/2 1/4 1/8 1/16 1/32 a
Value of a tube determine.
Geometric progression is sequence of series whose ratio with adjacent values remains same.
For a
y = [tex]2^x[/tex]
put 6 in above equation
a = 2^-6
a = 1/2^6
a = 1/64
Thus, The required value of a is 1/64.
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Which value is
equivalent to 2+12/2
A. 6
B. 7
C. 8
D. 12
Answer:
8
Step-by-step explanation:
I know its 8 because of using PEMDAS
well first in the equation you can divide and add so in PEMDAS diving comes before adding so 12/2=6 and 2+6=8
An electrician charges $40 per hour for service calls up to eight hours, but increases this rate by 50% for additional hours. The electrician will not work more than twelve hours per service call and also charges a $25 trip charge. The graph provides a visual for customers. If the electrician doubles the normal hourly rate, and still increases the rate by 50% for additional hours, how will the graph change? A) The y-intercept will be (0, 50), the slopes of the line segments will 40 and 60, and the range will be [50, 1170]. B) The y-intercept will be (0, 25), the slopes of the line segments will 80 and 120, and the range will be [25 1170]. C) The y-intercept will be (0, 50), the slopes of the line segments will 80 and 120, and the range will be [50, 1145]. D) The y-intercept will be (0, 25), the slopes of the line segments will 80 and 120, and the range will be [25, 1145].
Answer:
Actually the Answer is B
Step-by-step explanation:
The reason, cause I just chose C and got the answer wrong. Here’s further proof.
Answer: it’s D
Step-by-step explanation: got it wrong and it’s D
How do I complete a square
Eg solve the equation x(squared) + 4x - 7 = 0
By completing the square
Step-by-step explanation:
[tex]{x}^{2} + 4x - 7 = 0[/tex]
Take -7 to the other side making it +7
Half the coefficient of x and square it
[tex] \frac{1}{2} \times 4 = 2[/tex]
Square the answer
[tex]{2}^{2} = 4[/tex]
Join your answers
[
[tex](x + 2) - 4 = 7[/tex]
Take -4 to the other side making it +4
[tex](x + 2) = 7 + 4 \\
(x + 2) = 11
[/tex]
Square root both sides
[tex] \sqrt{x + 2}= \sqrt{11} [/tex]
[tex]x + 2 = \sqrt{11} [/tex]
Take +2 to the other side
[tex]x = - 2 \ + or - \sqrt{11} [/tex]
[tex]x = - 2 + \sqrt{11} [/tex]
or
[tex]x = - 2 - \sqrt{11} [/tex]
This can be your answering surd form if required or in decimals
What is the surface area of the prism in square inches?
Answer:
The answer is 252 square inches
If triangle ABC is similar to DEF, what is the measure of angle F?
Answer:43
Step-by-step explanation:118+15+x=180
x=43
Answer:
Angle F is 47°
Step-by-step explanation:
The measure of all the angles on a triangle is 180°, so you subtract the 2 given angles (A and B) to find the 3rd angle (C). That third angle is equal to the corresponding angle (F) on the similar triangle (DEF).
6. Sam got a job at Yogurt land. She makes $18 per hour as a store manager. On Friday she worked 6 hours, on Sunday
she worked 8 hours and on Wednesday she worked 5 hours. When she picked up her paycheck her mom reminded her
that she owed her $85 for a pair of shoes she bought her. How much money did she have left after paying back her
mom (before taxes)?
steps ?
Solve for x.
х/5= 20
0. 25
4
10
100
Answer:
100
Step-by-step explanation:
x = 5 × 20 = 100
.........................
what is the experimental probability of rolling a number less than 4?
Answer:
50%
Step-by-step explanation:
In dice, there are 6 numbers, and less than 4 is 1, 2, or 3. 3/6=50%