The container's strawberry lemonade that had a stronger strawberry flavor is the more compact bottle and has a more robust taste.
This is further explained below.
What is the stronger strawberry flavor?Generally, in a bid to understand the context of the scenario we must first write the rato of the flavor's relationship
x=8:40
y=5:20
Therefore
x=8:40
y=10:40
In conclusion, This helps us decipher that Larger container: We add eight ounces of strawberry puree for every forty ounces of lemonade that we make.
We have 10 ounces of strawberry puree for every 40 ounces of lemonade that we have.
Therefore, the more compact bottle has a more robust taste.
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The fuel tank of a certain airplane can hold up to 200 gallons of fuel. Let W be the total weight of the airplane (in pounds). Let F be the total amount of fuel in
Its tank (in gallons). Suppose that W=5F+4000 gives W as a function of F.
Identify the correct description of the values in both the domain and range of the function. Then, for each, choose the most appropriate set of values.
Set of Values
(Choose one)
Domain:
Range:
Description of Values
Oweight of airplane (in pounds)
Oamount of fuel in airplane's tank (in gallons)
Oweight of airplane (in pounds)
amount of fuel in airplane's tank (in gallons)
(Choose one)
X
28
180
The correct description of domain and range for the weight of aeroplane are-
Domain - [0 , 200]Range - [4,000 , 5,200]What is meant by the term domain and range?The domain of the a function is the value set that can be plugged into it. This set contains the x values together in function like f. (x). A function's range is the number of values that even the function can take. This is the set of values which the function returns after we enter an x value.For the given question, the values are-
Function W = 5F + 4000
Full amount of fuel = 200 gallons
No amount of fuel = 0 gallons
Domain : amount of fuel = [0 , 200]
Now, calculate for the range.
If F = 0
W = 5F + 4,000
W = 5(0) + 4,000
W = 4,000
If F = 200
W = 6F + 4,000
W = 6(200) + 4,000
W = 5,200
Range of weight = [4,000 , 5,200]
Thus, the value of range for the total weight of the aeroplane is [4,000 , 5,200].
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need help with this, thanks
The error is that vertical angles are congruent, and don't necessarily add to 180°. Vertical angles only add to 180° if they are right angles.
[tex]13x+45+19x+3=180 \\ \\ 32x+48=180 \\ \\ 32x=132 \\ \\ x=33/8[/tex]
Answer:
x = 7
Step-by-step explanation:
Vertical Angle Theorem
When two straight lines intersect, they form two pairs of angles. The vertically opposite (non-adjacent) angles are congruent.
Angles on a Straight Line Theorem
The sum of angles formed on a straight line is equal to 180°.
The error made is confusing the Vertical Angle Theorem with the Angles on a Straight Line Theorem. To find x, we should either:
Equal a pair of vertical angles and solve for x, orEqual the sum a pair of angles that form a straight line to 180° and solve for x.Applying the Vertical Angle Theorem:
[tex]\boxed{\begin{aligned} (13x+45)^{\circ} &=(19x+3)^{\circ} \\13x+45&=19x+3\\13x+42&=19x\\42&=6x\\x&=7\end{aligned}}[/tex]
Applying the Angles on a Straight Line Theorem:
[tex]\boxed{\begin{aligned}(6x+2)^{\circ}+(19x+3)^{\circ}&=180^{\circ}\\6x+2+19x+3&=180\\25x+5&=180\\25x&=175\\x&=7\end{aligned}}[/tex]
Therefore, the value of x is [tex]\boxed{x=7}[/tex] .
Math
Language arts
Geometry B.10 Midpoint formula: find the midpoint 2YG
Submit
Recommendations
Skill p
B(-2, -13) and C(-3, 6) are the endpoints of a line segment. What is the midpoint M of that
line segment?
Write the coordinates as decimals or integers.
M =
Please help
m=x1+x2/2 or m=y1+y2/2
hope you understand
Is the function represented by the table non-linear?
X
6
7
8
9
y
4
2
0
-2
OYes, because it has a constant rate of change.
O Yes, because it does not have a constant rate of change.
O No, because it has a constant rate of change.
O No, because it does not have a constant rate of change.
find the equation of the line parallel to y=3x+4 and that passes through the point (-5,4)
Answer:
y = 3x + 19
Step-by-step explanation:
Equation of line in slope y-intercept form: y = mx +bHere m is the slope and b is the y-intercept.
y = 3x + 4
m = 3
Parallel lines have same slope.
m = 3
y = 3x + b
Substitute (-5,4) in the above equation.
4 = 3*(-5) + b
4 = -15 + b
4 + 15 = b
b = 19
Equation of the line: y = 3x + 19
Answer: y = 3x +19
Step-by-step explanation:
-Parallel lines have the same gradient
y = 3x + c
rearrange to give c= y - 3x
substitute x = -5 and y = 4
c = 3 - (3x-5)
c= 19
so the equation is y = 3x + 19
List all the factors of 12.
Answer: The factors of 12 are 1, 2, 3, 4, 6, and 12
Hope this helps!
Answer:
The factors of 12 are 1, 2, 3, 4, 6 and 12.
To construct the angle bisector of ∠ABC, first set the point of the compass on and draw an arc through and
The construction of the angle bisector of [tex] \angle ABC[/tex], gives the completed statement as follows;
Set the point of the compass on B and draw an arc through arms AB and BCWhat is an angle bisector?An angle bisector is the ray or line, dividing an angle into two congruent angles.
The steps required to construct the angle bisector of [tex] \angle ABC[/tex] is presented as follows;
Place the compass at point B which is the vertex of [tex] \angle ABC[/tex] and draw arcs to intersect the arms or segments BA and BCLabel the point of intersection of the arcs and the arms of the angle [tex] \angle ABC[/tex] as points D and EPlace the compass at point D and draw an arc on the inside of [tex] \angle ABC[/tex] and on the side further from point B than D Repeat the above process by placing the compass at point E and drawing an arc to intersect the arc drawn from point D at point FJoin the points B and F with the straightedge to complete the construction of the angle bisector of [tex] \angle ABC[/tex], which is segment BFThe complete statement is therefore;
To construct the angle bisector of.[tex] \angle ABC [/tex], first set the point of the compass on B and draw an arc through BA and BC
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What is the volume of a cube with edge length 13 cm in cubes
Geometry
In the diagram, ZJKM is a straight angle
Intro
K
M
Which statements about the diagram are true? Check
all that apply.
Dk is an angle bisector.
OLKQ is bisected.
Dm/JKL=45"
Om MKQ+m/PKQ = m/PKM
OPK is an angle bisector.
OZJKL
The statements that are true are:
3) m∠JKL = 45°
4) m∠MKQ + m∠PKQ = m∠PKM
5) line PK is an angle bisector
1) This statement says that KQ is an angle bisector. This is false because the line KQ does not pass through the diagonal vertex of the right angled symbol at point K.
2) Second statement says that ∠LKQ is bisected. This statement is false because PK is just a perpendicular line to JKM that divides it into 2 equal parts and not a bisector of ∠LKQ
3) The third statement states that m∠JKL = 45°. This statement is true because from the image it is clear that the line KL divides m∠PKJ into two equal parts.
4) Fourth statement says that m∠MKQ + m∠PKQ = m∠PKM. This statement is true. Now, although KQ doesn't bisect m∠PKM into 2 equal parts, nevertheless it divides it into 2 angles namely m∠MKQ and m∠PKQ. This means the sum of m∠MKQ + m∠PKQ must yield m∠PKM.
5) The fifth statement says that the line PK is an angle bisector. This statement is true because JKM is a straight angle. Thus as PK is perpendicular to it, it has bisected it into two equal parts.
6) The fifth statement says that ∠JKL ≅ ∠QKM. This statement is false because ∠JKL is a bisected angle which is 45° whereas, ∠QKM is not a bisected angle and thus not equal to 45°.
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Calculate the measure of ∠1 using the Exterior Angle Theorem.
Triangle PUB is divided into 2 triangles that is ΔPUM and ΔPMB. We have angles ∠B=35°,∠U=62°,∠P=21°. The angles are ∠1=56° and ∠2=62°.
Given that,
In picture there is a triangle with the intersection line in between the triangles.
Triangle PUB is divided into 2 triangles that is ΔPUM and ΔPMB.
We have angles
∠B=35°,∠U=62°,∠P=21°
We have to find the angle of angle 1 and 2.
We know,
In triangle sum of the 3 angles is 180°.
Now, we take ΔPMB
We find the other angle of M.
21°+35°+M=180°
M=180°-21°-35°
M=180°-56°
M=124°
So, now we can find the angle 1.
the straight line has a angles of 180°.
124°+∠1=180°
∠1=180°-124°
∠1=56°
Now, we find angle 2.
Take ΔPUM
62°+∠1+∠2=180°
62°+56°+∠2=180°
∠2=180°-62°-56°
∠2=180°-118°
∠2=62°
Therefore, the angles are ∠1=56° and ∠2=62°.
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Write a two column proof for this:
Using angle addition postulate when ∠1 ≅ ∠4 it is proved that ∠2 ≅ ∠3.
As given in the question,
Given: ∠1 ≅ ∠4. Prove ∠2 ≅ ∠3.
(Using angle addition postulate)
Statements Reasons
1. ∠1 ≅ ∠4 Given
2. ∠1 = 180 - ∠2 Being supplementary angles (angle addition postulate)
3. ∠4 = 180 - ∠3 Being supplementary angles (angle addition postulate)
4. 180 - ∠2 = 180 - ∠3 Substituting Statements 2 & 3 into Statement 1.
5. ∠2 = ∠3 Simplifying Statement 4 algebraically.
In statement 4, the constants 180 cancel out from either of left hand side (LHS) and right hand side (RHS). Thus the equation gets simplified to Statement 5. It is worthwhile to mention that Supplementary angles or linear pair always sum up to 180° in measure. Additionally linear pair form a straight line together.
Therefore, using angle addition postulate when ∠1 ≅ ∠4 it is proved that ∠2 ≅ ∠3.
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I need help on Question 3. Ignore the other ones please. Thank you so much!! 15 points if you get it right!
The value of x and y for given equation are (2,15) and (12,24).
Using hit and trial method, we can calculate that the values of given equation are (2,15) and (12,24)
What is hit and trial method?
The hit and trial approach is used to balance chemical equations by selecting the least whole number coefficient. tally the instances of each ingredient on either side of a reaction. The element with the lowest frequency of recurrence is considered to be balanced.
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8 + 3x = 1 + 7.9x can someone help me out?
GROUP LIKE TERMS TOGETHER.
[tex]3x - 1.79x = 1 - 8 \\ 1.21x = - 7 \\ \frac{1.21x}{1.21} = \frac{ - 7}{1.21 \\ } \\ x = 5.7851239669[/tex]
Answer:
x=[tex]\frac{10}{7}[/tex]
Step-by-step explanation:
8 + 3x = 1 + 7.9x
1. multiply everything by 10 so there is no longer a decimal in the equation
80+30x=10+79x
2. get the x on one side so we -10 and 30x from both side
70=49x
3. divide by 49 on each side as we want to find the value of x
[tex]\frac{70}{49}[/tex]=x
4. the fraction can be simplified to
[tex]\frac{10}{7}[/tex]=x
4. the final answer is
[tex]\frac{10}{7}[/tex]=x
the scale of a map is 1:10000000. what is the real distance between two cities if the distance between them is 1.7dm
Answer:
See below:
Explanation:
1.7 dm = .17 m assuming dm is decimeter
.17m * 10^7 scale = 1.7 x 10^6 m = 1.7 x 10^3 km = 1700 km
Since 2 is further left on a number line than 5, 2 < 5. Let’s consider the opposites of these numbers.
Identify the opposite of 2 on the number line.
Identify the opposite of 5 on the number line.
Using your results, which statement is true?
Since –2 is further
.
the formula t=((sqrt(h))/(4)) represents the time t in seconds that is takes an object to fall from a height of h feet , if a rock falls from 125 feet , estimate how long it will take the rock to hit the ground , estimate the square root to the nearest integer .
The time taken by the rock to hit the ground is 3 seconds.
It is given in the question that:-
[tex]t=\frac{\sqrt{h} }{4}[/tex]
Where,
t represents the time (in seconds) taken by the object to reach the ground, and
h represents the height from which the object is falling
We have to find the time taken by a rock to hit the ground after falling from a height of 125 feet.
Using the formula given in the question, we can write,
[tex]t=\frac{\sqrt{125} }{4}=\frac{5\sqrt{5} }{4}[/tex]
We know that,
[tex]\sqrt{5}[/tex] ≈ 2.23
Hence, we can write,
t ≈ (5*2.23)/4 ≈ 2.7875 ≈ 3 seconds (estimated to nearest integer)
Hence, it takes around 3 seconds for the rock to hit the ground after falling from a height of 125 feet.
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6. The price x of a new car minus à 25% down payment.
The expression that shows the price x of a new car minus à 25% down payment is x - 0.25 = 0.75x
How to illustrate the information?Based on the information given, it should be noted that the information is to simply illustrate find the expression that shows the price x of a new car minus a 25% down payment.
This will be illustrated as:
= x - (25% × x)
= x - 0.25x
= 0.75x
Therefore, the expression is 0.75x.
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pls help me on problem 45 will give u brainliest (7th grade math)
suppose that the weight, x, in pounds, of a 40-year-old man is a normal random variable with mean 147 and standard deviation 16. calculate p(120≤x≤153). round your answer to four decimal places.
0.6004 is standard deviation of equation .
Why is there a standard deviation?
The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.An individual collection of data is compared to the average of several other sets of data using the standard deviation. You can compute two different forms of standard deviation: When data are gathered from every person in a population or collection, it is the population standard deviation.=0.6004$P(120≤X≤153)=0.6004
The mean is μ=147, and the standard deviation is σ=16.
0.6462−0.0458=0.6004.
Thus, P(120≤X≤153)=0.6004.
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Simplify:
5/8(-8j+24)
Answer: -5j+15
step by step equation
what is the square of 77.5?
if a baseball player has a batting average of 0.330, what is the probability that the player will get the following number of hits in the next four times at bat?
The player has a 0.293 percent probability of getting the subsequent number of hits in the subsequent four at-bats.
What does probability mean in math?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.
In light of the information provided,
designate X as the random variable indicating the player's hit total during his subsequent four at-bats.
Assume that the player hits or misses on each of the following four at-bats in a random order. Consider it a success if the player gets a hit as well.
The probability of "success" is because of the batting average, which is 0.330.
In this case, x can be thought of as the overall success rate across the four at-bats. Inferring that X has a binomial distribution with p=0.330 as its parameters
n=4 p=0.330
Since p denotes the probability of success, the probability of failure is
q=1-0.330
=670
The probability mass function of x here is
f(x)={(4 0)*(0.330)ˣ (0.670)⁽⁴⁻ˣ⁾
The probability that the player will get exactly 2 hits, that is, is calculated below:
P(2)=F(2)={(4+2)*(0.330)² (0.670)²
=6[0.04888]
=0.29328
Thus, the probability that the player will get exactly 2 hits is 0.239.
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what is 369 962 to the nearest 100
Answer:
370000
Step-by-step explanation:
So it would go from 962-1000. So 370000
Linear equation where m=-4 and passes through (5,9)
The linear equation where m = -4 and passes through (5,9) is y = - 4x + 29
What is Linear Equation ?Linear Equation = an equation between two variables that gives a straight line when plotted on a graph is known as linear equation.
For this statement we need to use the point slope form of linear equation.
What is Point Slope Form ?The equation of a straight line in the form y − y1 = m(x − x1) where m is the slope of the line and (x1, y1) are the coordinates of a given point on the line — compare slope-intercept form is known as point slope form.
Using point slope form,
y - y1 = m (x - x1)
y - 9 = -4 (x - 5)
y - 9 = -4x + 20
y = -4x + 20 + 9
y = -4x + 29
Therefore, where m = -4 and passes through (5,9) the linear equation will be y = -4x + 29
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Which of the following is an equivalent expression of 18x2 +14x + 7?
7(18x2 + 14x)
14x + 18x2 + 7
32x3 + 7
18x2(14x + 7)
An expression which is equivalent to the given expression 18x² +14x + 7 is given by 14x + 18x² + 7.
As given in the question,
Given expression is :
18x² +14x + 7
Simplify all the optional expression to check which one is equivalent to given expression:
a. 7(18x² + 14x)
= 126x² + 98x
Not equivalent.
b. 14x + 18x²+ 7
Rearrange it
18x²+14x + 7 .
Equivalent.
c. 32x³ + 7
Degree is 3.
Not equivalent.
d. 18x²(14x + 7)
= 252x³ +126x²
Not equivalent.
Therefore, an equivalent expression of 18x²+14x + 7 is 14x + 18x²+ 7.
The complete question is:
Which of the following is an equivalent expression of 18x²+14x + 7?
7(18x² + 14x)
14x + 18x²+ 7
32x³ + 7
18x²(14x + 7)
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Help please it's true or false
Answer:true
Step-by-step explanation:
because the first one
Help pls!! Will give brainlyist
Answer: The correct answer is B.
Step-by-step explanation:
To evaluate this expression you must divide x-1 though the expression or factor out the upper half of the equation and cancel out what is necessary.
The division method: attached below :)
Find the measures of two supplementary angles if the difference between the
measures of the two angles is 35
Answer:
107.5 and 72.5
Step-by-step explanation:
Write and solve an equation to solve the problem.
Lisa is 4 centimeters taller than her friend lan. lan is 8 centimeters taller than Jim. Every month, their heights increase by 2 centimeters. In 4 months, the sum of lan's and Jim's heights will be 170 centimeters more than Lisa's height. How tall is lan now? Let h be lan's height today in centimeters.
(h+8)( )+8=( )+8+170
Ian is ___ centimeters tall now.
Ian is 144 centimeters tall now by solving the equation.
What is an equation?A mathematical statement called an equation includes the sign "equal to" between two expressions with equal values.
Let Lisa, Ian, and Jim's real heights are L, I, and J, respectively.
Lisa's friend Ian is 4 centimeters taller than her, therefore L=4+I
In the sentence "Ian is 8 cm taller than Jim.": I=8+J,
Hence, J=I-8
Thus, Lisa, Ian, and Jim are 4+I, I, and I-8 correspondingly in height.
Since their heights increase by 2 cm every 4 months, this results in an 8-centimeter height increase.
Thus, after four months, Lisa, Ian, and Jim reach the following heights:
4+I+I+8, I+8, and I-8+8 that equal to I+12, I+8, and I respectively
"The total of Ian's and Jim's heights will be 140 centimeters more than Lisa's height in four months" means:
(I + 8) + I = 140 + (I + 12)
⇒2I + 8 = 152+I
⇒I = 144
⇒I=152-8
=144
Therefore, Ian is 144 centimeters tall now.
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Which ones are paralel? Justify your answer please!!!!!!!!
Answer: I think that FG and MB are parellel, but I think the way to confirm is to measure with a ruler
Step-by-step explanation: