Answer:
9 ounces
Step-by-step explanation:
Let x = number of ounces of 12% solution.
0.12x + 0.2 × 9 = 0.16(x + 9)
0.12x + 1.8 = 0.16x + 1.44
-0.04x = -0.36
x = 9
Answer: 9 ounces
find the cumulative frequency
We get the cumulative frequency as:
3
7
13
22
29
36
37
We are given the data:
Daily Low(°F) Frequency
35 - 39 3
40 - 44 4
45 - 49 6
50 - 54 9
55 - 59 7
60 - 64 7
65 - 69 1
We have to find the cumulative frequency of the data.
We will do this by adding the data values of previous interval.
Daily Low(°F) Frequency cumulative frequency
35 - 39 3 3
40 - 44 4 7
45 - 49 6 13
50 - 54 9 22
55 - 59 7 29
60 - 64 7 36
65 - 69 1 37
Therefore, we get the cumulative frequency as:
3
7
13
22
29
36
37
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Volume of Spheres find the volume
Step-by-step explanation:
Oke so basically we can calculate volume like this
1st: v=
[tex] \frac{4}{3} \times \pi \times r {3}^{?} [/tex]
Which equals:
[tex] \frac{4}{3} \times 3 \times {3}^{3} and \: it \: equals > 108 {\pi}^{3} [/tex]
(a-b)(a+b)-c(c-2b) help me guys
Answer:
a^2-b^2+2bc-c^2
Step-by-step explanation:
We multiply a with a and negative b with b. Then multiply negative c with c and multiply negative c with negative 2b. After all add/ subtract like terms
What is 2 equivalent expressions for (4^9)^3
Answer:
[tex]4^{27}[/tex] and 18014398509482000
PLEASE HURRY!!
State the domain and range for the function f(x) = 2x² - 7.
Domain
[tex]-\infty \: < x < \infty[/tex]
Range
[tex]f\left(x\right)\ge \:-7\:[/tex]
As part of maintenance, you need to replace a cross tie for a wooden roller coaster. You have a board that is 2.5 meters long, but a cross tie should be 1.5 meters long. Without a ruler or measuring tape, how would you know where to cut the board so that the cross tie is the correct length?
We an measure by some standard sale like our hands or foots or pinkie fingers or heigth etc.
Your foot: With this one it helps to know your European shoe size: 35 = 9′, 40 = 10″ and 45 = 11″. This is more accurate but more time consuming than using your stride to measure a space, as you must walk toe to the heel of your next foot.
Your height: We have compelled a perfectly 6-foot-tall person to lay on the floor to get a room dimension before, but it’s not necessary to go to that trouble. The distance between your fingertips with your arms stretched to the sides is roughly the same as your height.
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Snorkel's age 15 years ago was 22. How old is Snorkel today?
what is the answer of -6 + (12)
Answer:
6
Step-by-step explanation:
-6 + (12)
○ First you remove the brackets
○ Then you will get -6 + 12
○ Negative Positive (-+) equals Negative
○ You will put will subtract the bigger number by the smaller number
i.e 12-6
○ You will get your answer as 6
What is the value of c?
Enter your answer in the box.
Answer:
26 units
Step-by-step explanation:
By using the Pythagoras Theorem,
C^2 = A^2 + B^2
Substitute in given values for A and B.
C^2 = 10^2 + 24^2
= 100 + 576
= 676
[tex]c = \sqrt{676} \\ = 26[/tex]
Hope this helped! ^^
Sidenote: Pythagoras Theorem can only be used on right-angled triangles.
Marcie cooked dinner for herself. The original recipe has a serving size of 3 and requires three and three sevenths pounds of chicken. How many pounds of chicken will be needed for a single serving?
one and one seventh pounds
nine and three sevenths pounds
two over 49 pounds
three sevenths pounds
Using proportions, the number of pounds that will be needed for a single serving is: one and three seventh pounds.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
The number of pounds for 3 people is given by:
[tex]3 \frac{3}{7} = 3 + \frac{3}{7} = \frac{24}{7}[/tex]
Hence, for one person, the number of pounds can be divided by three(multiplied by 1/3), hence:
[tex]\frac{24}{7} \times \frac{1}{3} = \frac{24}{21}[/tex]
24 divided by 21 has a quotient of 1 and remainder of 3, hence as a mixed number, the amount is:
one and three seventh pounds.
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Answer:
Step-by-step explanation:
the awnser is cerrot.
Consider this figure.
For A-C, select True or False for each statement about the sequences of transformation that can verify that traingle ABC is congruent to A'B'C'.
A. Triangle ABC is translated 1 unit to the left, followed by a reflection the x-axis. True/False
B. Triangle ABC is translated 1 unit to the right, followed by a reflection the x-axis. True/False
C. Triangle ABC is reflected across the x-axis, followed by a translation 1 unit to the right.
True/False
Answer is
A. False
B. True
C. False
According to the graph,
A (1, -2), B(b, - 2), C(1, -7), A'(-b , b), B'(-1 ,b), C'(-b , 1).
A. if ABC is reflected across x-axis. (x, y) reflected x-axis→ (x-y)
so A'(1,2), B' (b-2), C'(1-7) , it's no equal to title .
so A is false.
B. if ABC is translated 7 units to the left , up 8 units.
(x, y)→(x-7,y+8),
so A'(-b , b), B'(-1 ,b), C'(-b , 1)
it's equal to title. so B is true.
C. if ABC is translated 8 units down, 7 units to right
(x y)→(x+7, y-8),
so A' (8,-10),B'(13,-10), C'(8,-15)
it's not equal to title. so C is false.
A transformation is the movement of a figure. There are four types of transformations: reflection, rotation, translation, and dilation. Of these four types of transformations, a transformation can either be a congruent or similar shape to the original image. Congruent means that the shape or figure retains its size, shape, length, and angles of the original shape.
A rotation is a turn around a centre point. In a rotation, the distance from each point on the shape to the centre remains the same. A rotation is identified by a shape turning a specific amount degrees, usually 90, 180, or 270 degrees, around a point either clockwise or counter clockwise. This means with each rotation performed four things are given.
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write and solve an equation to answer the question Alan bought 3 pencils and a notebook. the notebook cost $6,and he spent a total of $12. how much did each pencil cost use p to represent the cost of each pencil.
Answer:
Each pencil costs $2
Step-by-step explanation:
3p + 6 = 12
3p = 6
p = 2
3 pencils for 2 dollars is 6 dollars, plus the 6 dollars he spent on a notebook, equals the 12 dollars he spent total.
Givin that m < QST = 135 solve for x and find each angle
By solving a linear equation we can see that the value of x is 28, and with that, we can see that the measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
How to find the measures of the angles?
We know that the angle at vertex S measures 135°, then we can write the linear equation:
(3x + 1)° + (2x - 6)° = 135°
First, we need to solve this for x.
3x + 1 + 2x - 6 = 135
5x - 5 = 135
5x = 135 + 5 = 140
x = 140/5 = 28
Now that we know the value of x, we can find the two measures, which are:
QSR = (3x +1) = (3*28 + 1)° = 85°
RST = (2x - 6)° = (2*28 - 6)° = 50°
The measure of the left angle is 85 degrees, and the measure of the right angle is 50 degrees.
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Which set of ordered pairs does not represent a function?
{(-8,-2), (0, 2), (-6, 2), (-4,-1)}
{(-6,-4), (-9, 0), (5, -7), (-3,-4)}
○ {(1,6), (-3, 6), (6, 3), (0, -4)}
{(6, 7), (-3, 8), (7,-2), (-3,-3)}
Triangle ABC lies on the coordinate plane with vertices located at A(7,6), B(-3,5), and
C(-4,9). The triangle is transformed using the rule (x,y) -> (2x.y-3) to create triangle
A'B'C'. Select all possible answers for the vertices of triangle A'B'C'.
a. (14,3)
b. (9,3)
c. (-6,10)
d. (-8,6)
e. (-6,2)
The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)
What are the coordinates of the vertices of a traingle after using transformation rule?
In this question we find the locations of the three vertices of the triangle, each of which has to be transformed by using a non-rigid transformation rule, that is, a transformation rule that does not conserve the original form of the triangle. We are asked to determine the possible coordinates associated with the triangle A'B'C.
If we know that A(x, y) = (7, 6), B(x, y) = (- 3, 5) and C(x, y) = (- 4, 9), then the coordinates of the vertices of the triangle A'B'C' are:
A'(x, y) = (2 · 7, 6 - 3)
A'(x, y) = (14, 3)
B'(x, y) = (2 · (- 3), 5 - 3)
B'(x, y) = (- 6, 2)
C'(x, y) = (2 · (- 4), 9 - 3)
C'(x, y) = (- 8, 6)
The coordinates of the vertices of the triangle A'B'C' are (14, 3), (- 6, 2) and (- 8, 6), respectively. (Correct choices: A, E, D)
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Box
30 cm
32 cm
15 cm
A wooden box measures 30 cm by 15 cm by 32 cm.
The box has a lid.
Carton
Can James put all 110 cartons in the box and shut the lid?
Show your working clearly.
5 cm
A carton measures 5 cm by 5 cm by 5 cm.
James has 110 cartons.
He wants to put all these cartons in the box and be able to shut the lid.
5 cm
5 cm
D
ac
Answer two questions about systems a and b: ​ x−7y=−3 4x y=7 ​ ​ 4x y=7 x−7y=−3 ​
our ordered pair is ( 2 , 1/2).
What is linear equations in two variables?
If an equation is written in the form ax + by + c=0, where a, b, and c are real integers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables. Examples of two-variable linear equations are 10x+4y = 3 and -x+5y = 2.Let's first move the y's to the left side in the first equation.
4x - y = 3y + 7
4x - 4y = 7
Dividing both sides by 4,
x - y = 7/4
Our other equation is
x + 8y = 4
Subtracting the first equation from the second, we get
9y = 9/4
y = 1/4
We plug this into one of the equations
x + 2 = 4
x = 2
So our ordered pair is ( 2 , 1/2)
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A repair shop charges $50 per hour. this week it is offering
a $20 discount. the equation c = 50h-20 represents the
total cost, c, of a job taking h hours. what is the total cost
of a job that takes 6 hours?
$280
b $50
$300
$30
The cost of a job that takes 6 hours is $280.
Discount:
Discount, the term referred as the amount or percentage deducted from the normal selling price of something. The discount means a reduction in the price of a good or service.
Given,
A repair shop charges $50 per hour. this week it is offering a $20 discount. And it represents the equation as,
c = 50h-20
Where
c represents the total cost, and
h represents the hours taken.
Here we need to find the total cost of a job that takes 6 hours.
According to the given details we know that the value of h = 6.
Then we need to find the value of c,
So,
=> c = 50(6) - 20
=> c = 300 - 20
=> c = 280
Therefore, the total cost of a job that takes 6 hours is $280.
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find the indicated length.
Point R bisects segment ST. Find RT if ST = 16.9 meters.
RT=
The value of the indicated length RT is 8.45 meters
How to find the indicated length?The given parameters are
Point R bisects segment ST. ST = 16.9 meters.The above means that
RT = 1/2 * ST
So, we have
RT = 1/2 * 16.9
Evaluate the products
RT = 8.45
Hence, the value of the indicated length RT is 8.45 meters
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Determine the following. Complementary angles
-1+(-3) is blank units from -1 in the blank direction
-1+(-3) is 3 units from -1 in the left direction
-1+(-3) is blank units from -1 in the blank direction
-4 is 3 units from -1 in the left direction
because we know that
in the real line if we go 3 units in left from -1 we get -4
since in the real number line
the pattern is ................ - 5, -4, -3, -2, -1 ,0,1,2,3,4,5,............
thus we get
-1+(-3) is blank units from -1 in the blank direction
-4 is 3 units from -1 in the left direction
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Suki is trying to solve the equation 62.75 + x = 92.
Determine whether Suki could use each statement below to reason and solve the equation.
Choose Yes or No for each statement.
A) Suki can add 62.75 to both sides of the equation.
[ Select ]
B) Suki asks, "What number can be added to 62.75 to get 92?"
[ Select ]
C) Suki thinks, "x is the difference between 92 and 62.75."
[ Select ]
D) Suki can divide 92 by x to get a value equal to 62.75.
[ Select ]
E) Suki knows that 62.75 + 0.25 = 63 and 63 + 29 = 92, so x must be 29.25.
[ Select ]
Answer:
picle scoops ina lane
Step-by-step explanation:
Answer:
29.25
Step-by-step explanation:
f(x)=2x^-6 Find f(7)
Answer: 1/58824.5
Step-by-step explanation: 2x7^-6
2x1/117649
=1/58824.5
Find the values of a and b.
Answer:
Step-by-step explanation:
7a + 33° = 10a - 12° ( being vertically opposite angle )
33° - 12° = 10a - 7a
21° = 3a
a = 21/3
a = 7°
Now,
6b - 42 = 3b ( vertically opposite angle )
6b - 3b = 42°
3b = 42°
b = 42/3
b = 14
hence , the value of a is 7°and b is 14°...
☘☘☘....
jackie's hair grows 3/4 in 1 and 1/2. how much hair grows per mouth
The answer is 1/2
The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.
Jackie grow hair in 3/2 month = 3/4
Jackie grow hair in 1 month = 3/4 x 2/ 3
= 1/2
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Find the midpoint of the given line segment with the given endpoints
(-3, 8) and (2, -4)
Answer:i have same question
Step-by-step explanation:
Zeke is making posters for the school play. He borrows 12 bottles of paint from the art teacher. Each bottle has 300 milliliters of paint. To make his posters really sparkle, he also brings 400 milliliters of glitter paint from home. How many liters of paint does he have in all?
Answer:
4 liters
Step-by-step explanation:
300 × 12 = 3600 ml
3600 + 400 = 4000 ml
1 liters = 1000 ml
liters to milliliters need to × 1000
milliliters to liters need to ÷ 1000
4000 ÷ 1000 = 4 liters
Find the quotient and round the answers to 6 decimal places.
1.
09) 6.815.3
Answer:0.757
Step-by-step explanation:
A jar has 5 red candies, 4 orange candies, 6 green candies, and 7 blue candies. What is the probability you will randomly pull an orange candy? Find the fraction, decimal, and percentage?
Answer:
2/11, 0.18, 18%
5 + 4 + 6 + 7 = 22
and 4 of those are 4 orange candies
4/22 = 2/11
Are 12,16,20 pythagorean triplets. Explain why.
Answer:Yes,these are pythagorean triplets because you can divide all three by the same number which is 4.
Step-by-step explanation:12 divided by 4 is 3. 16 divided by 4 is 4. And 20 divided by 4 is 5.
Answer:
Yes
Step-by-step explanation:
They all have a scale factor of 4 and 3,4,5 are also Pythagorean triplets
