The amount of juice served is an illustration of a linear equation
The equation that represents the amount served is 523 = 34 + x
How to determine the equation?The given parameters are:
Total = 523
Served = 34
Represent the amount left with x.
So, we have the following equation
523 = 34 + x
Hence, the equation that represents the amount served is 523 = 34 + x
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Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?
A. x ≥ -4
B. x ≤ -4
C. x ≥ 8
D. x ≤ 8
The inequality that represents the solution of -2(3x + 6) ≥ 4(x + 7) is x ≤ -4, the correct option is B.
What is an Inequality?An inequality is a statement that is formed when two expressions are joined using an inequality operator.
The inequality is -2(3x + 6) ≥ 4(x + 7)
To find the solutions, the inequality has to be simplified.
Solving the inequality by using Distributive Property,
-6x -12 ≥ 4x +28
Adding (+12) on both sides of the inequality
-6x ≥ 4x +28 +12
Adding (-4x) on both the sides of the inequality
-6x + (-4x) ≥ 40
-10x ≥ 40
Dividing 10 on both the sides
-x ≥ 4
Reversing the sign of the inequality to remove the negative sign of x
x ≤ -4
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At the amusement park, the Ferris wheel is located 95 feet east and 156 feet north of the entrance. The swings are located 23 feet west and 124 feet north of the entrance. If Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, to the nearest hundredth of a foot, find the direct distance between Jalen and the entrance. (Round your answer to the nearest tenth)
Answer:
120.62 feet
Step-by-step explanation:
Let the entrance be the origin (0,0). If the Ferris wheel is located 95 feet east and 156 feet north of the entrance, its coordinates are (95, 156). If the swings are located 23 feet west and 124 feet north of the entrance, its coordinates are (-23, 124).
We now find the distance from the swing to the Ferris wheel which for a pair of coordinates (x₁, y₁) and (x₂, y₂) is gotten from d = √[(x₂ - x₁)² + (y₂ - y₁)²] where (x₁, y₁) = (-23, 124) and (x₂, y₂) = (95, 156).
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(95 - (-23))² + (156 - 124)²]
= √[(95 + 23))² + (156 - 124)²]
= √[(118)² + (32)²]
= √[13924 + 1024]
= √14948
= 122.26 feet
Since Jalen is standing exactly three-eights the distance from the Ferris wheel to the swings, his distance from the Ferris wheel is d' = 3d/8 = 3 × 122.26/8 = 45.85 feet
To find the coordinates (x', y') of Jalen's point from the entrance, we subtract his distance from the Ferris wheel from the coordinates of the point of the Ferris wheel. So, (x', y') = (95 - 45.85, 156 - 45.85) = (49.15, 110.15).
So, Jalen's distance from the entrance is gotten from
d = √[(x₂ - x₁)² + (y₂ - y₁)²] where (x₁, y₁) = (0, 0) and (x₂, y₂) = (49.15, 110.15).
So, d = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(49.15 - 0)² + (110.15 - 0)²]
= √[(49.15)² + (110.15)²]
= √[2,415.7225 + 12,133.0225]
= √14,548.745
= 120.62 feet
For a given input value a, the function f outputs a value b to satisfy the following equation.
-3a+6b=a+4b
Write a formula for f(a) in terms of a
Answer:
ok
Step-by-step explanation:
-3a + 6b = a + 4b
we move both values to the same side
6b – 4b = a + 3a
subtracting 6 from 4 gives us 4, and a 1 plus 3 gives us 4
2b = 4a
divide 4 on both sides to solve for a and to get a by itself.
1/2=a
please mark as brainlest.
Hey there!
Let's solve for a.
[tex] \fbox{−3a+6b=a+4b}[/tex]
Step 1: Add -a to both sides.
[tex] \fbox{−3a+6b+−a=a+4b+−a}[/tex]
[tex] \fbox{−4a+6b=4b}[/tex]
Step 2: Add -6b to both sides.
[tex] \fbox{−4a+6b+−6b=4b+−6b}[/tex]
[tex] \fbox{−4a=−2b}[/tex]
Step 3: Divide both sides by -4.
[tex] \fbox{−4a/−4 = −2b/−4}[/tex]
[tex] \fbox{a= 1/2b}[/tex]
Answer:
[tex] \fbox{a= 1/2b}[/tex]
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{please mark me brainiest}{hope this helps}
estimate the following percentages of 60
10% = ___
25% = ___
50% =___
20% =___
Adam must fly home to city A from a business meeting in city B. One flight option flies directly to city A from B, a distance of about 467.3 miles. A second flight option flies first to city C and then connects to A. The bearing from B to C is N28.7E, and the bearing from B to A is N60.7E. The bearing from A to B is S60.7W, and the bearing from A to C is N79.1W. How many more frequent flyer miles will Adam receive if he takes the connecting flight rather than the direct flight?
Answer:
The value is [tex] k =109.6 \ miles [/tex]
Step-by-step explanation:
The diagram illustrating the question is shown on the first uploaded image
From the question we are told that
The distance from city A to B is AB = 467.3 miles
The bearing from B to C is [tex]\theta_{BC} = N 28.7E[/tex]
The bearing from B to A is [tex]\theta_{BA} = N 60.7E[/tex]
The bearing from A to B is [tex]\theta_{AB} = S60.7W[/tex]
The bearing from A to C is [tex]\theta_{AC} = S79.1W[/tex]
Generally from the diagram
[tex]\theta_A = 180 - 60.7 -79.1[/tex]
=> [tex]\theta_A = 40.2 ^o[/tex]
Also
[tex]\theta_B = 32^o [/tex]
and
[tex]\theta_C = 180 - (\theta_A +\theta_B )[/tex]
=> [tex]\theta_C = 180 - (40.2 + 32 )[/tex]
=> [tex]\theta_C = 107.8 ^o[/tex]
Generally according to Sine Rule
[tex]\frac{BC}{sin (\theta_A)} = \frac{CA}{sin (\theta_B)} =\frac{AB}{sin (\theta_C)}[/tex]
=> [tex]\frac{BC}{sin (40.2)} = \frac{CA}{sin (32)} =\frac{467.3 }{sin (107.8)}[/tex]
So
[tex]\frac{BC}{sin (40.2)} = \frac{467.3 }{sin (107.8)}[/tex]
=> [tex]BC = 316.8 \ miles[/tex]
Also
[tex]\frac{CA}{sin (32)} = \frac{467.3 }{sin (107.8)}[/tex]
[tex]CA = 260 .1 \ miles [/tex]
Generally the additional flyer miles that Adam will receive if he takes the connecting flight rather than the direct flight is mathematically represented as
[tex]k = [CA +BC] - AB [/tex]
=> [tex] k = [260 .1 +316.8]- 467.3 [/tex]
=> [tex] k =109.6 \ miles [/tex]
Number 19 and 20 pleaseeeeeeeee
Answer:
19. a) yes; acute triangle
20. a) no, because 4+2<7
Answer:
You did it correct
but last it no
Step-by-step explanation:
bc i said so and i have same book at school
5 times - 2+7 times +12 ?
[its algebra]
Answer:
5(-2+7+12)
-10+35+60
-10+95
=85
If the height of a parallelogram is 64.3 m and the base is 4.3m, what is the area of the parallelogram?
Answer:
Formula for area of a parallelogram;
a = bh
where b is the base, and h is the height
Our height is 64.3
Our base is 4.3
Now we multiply them:-
a = bh
a = 4.3 x 64.3
a = 276.49^2 meters
) Mr. Rivera is making a healthy dessert for his nephew who has diabetes. He wants
to choose the recipe with the least amount of sugar per serving. Apple crisp has
8 servings and contains 80 grams of sugar. Greek frozen yogurt has 12 servings
and contains 60 grams of sugar.
- How much sugar per serving does each dessert have? Complete the
Answer:
see below
Step-by-step explanation:
Apple crisp has
8 servings and contains 80 grams of sugar.
80 grams / 8 servings = 10 grams per serving
Greek frozen yogurt has
12 servings and contains 60 grams of sugar.
60 grams / 12 serving = 5 grams per serving
He should make Greek frozen yogurt
Answer:
He should make Greek frozen yogurt!
Step-by-step explanation:
Apple crisp has
8 servings and contains 80 grams of sugar.
80 grams / 8 servings = 10 grams per serving
Greek frozen yogurt has
12 servings and contains 60 grams of sugar.
60 grams / 12 serving = 5 grams per serving
He should make Greek frozen yogurt
Which expression is equivalent to 24^1/4
Answer:
[tex]2\sqrt[3]{3}[/tex]
explanation:
[tex]\rightarrow \sf 24^{\frac{1}{3}}[/tex]
[tex]\rightarrow \sf \sqrt[3]{24}[/tex]
[tex]\rightarrow \sf \sqrt[3]{2*2*2*3}[/tex]
[tex]\sf \rightarrow \left(2^3\cdot \:3\right)^{\frac{1}{3}}[/tex]
[tex]\sf \rightarrow 2\cdot \:3^{\frac{1}{3}}[/tex]
[tex]\sf \rightarrow 2\sqrt[3]{3}[/tex]
Answer:
Step-by-step explanation:
24^(1/3)
=(8*3)^(1/3)
=(8)^(1/3)*(3)^(1/3)
=(2^3)^(1/3)*3^(1/3)
=2*(3)^(1/3)
or [tex]2\sqrt[3]{3}[/tex]
HELP I NEED 75% of 1300
Answer: 975
Step-by-step explanation: hope this helped!
Answer:
975
Step-by-step explanation:
Create a proportion. Set 75 over 100 equal to x over 1300. Cross multiply to get 75x1300 = 100x. This will get you 97500 equal to 100x. Divide each side by 100 to get x = 975
Kevin wrote a total of 12 pages over 3 hours. How many hours will Kevin have to spend writing this week in order to have written a total of 20 pages? Assume the relationship is directly proportional.
Answer:
It will take him 5 hrs to write a 20-page essay because he can write 4 pages in 1 hour.
Hope this helps!
Answer:
5 hours
Step-by-step explanation:
For 12 pages, he spent 3 hours. So it takes him 1 hour to write 4 pages. (12 ÷ 3 = 4) If for each 4 pages 1 hour is spent respectively, then for 20 pages: 20 ÷ 4 = 5 hours will be spent.
What is the measure of
Answer: 180 - 143 = 37
37 + 61 + angle b = 180( angle sum property )
b= 180-98
B = 82
Step-by-step explanation:
The frequency table below shows the amount of left and right handed people there are in the 3rd grade. How many total right handed students are there?
What is the value of y?
A. 120°
B. 66°
C. Cannot be determined
D. 60°
Answer:
60
Step-by-step explanation:
all sides are equal
The value of y is 60. so the answer is D. 60°.
In a triangle, the sum of all angles is always 180 degrees.
If two angles of a triangle are 60 degrees each, the third angle can be found by subtracting the sum of the other two angles from 180 degrees.
So, the third angle would be:
60 + 60 + y = 180
y = 180° - 60° - 60°
y = 60°
Therefore, the value of the third angle, which is represented by y in this case, is 60°.
Therefore, correct answer is D. 60°.
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Which expression is equivalent to 9–2? –81 –18 startfraction 1 over 81 endfraction startfraction 1 over 18 endfraction
Answer:
Startfraction 1 over 81
Step-by-step explanation:
Answer:
C on edge
because i said so
The Nike factory has just finished up a new order of Air Jordan XIII sneakers to be released soon. They just produced 5,814 new pairs of the sneakers. If the company wants to evenly distribute the sneakers evenly among their 17 warehouses, how many pairs of the Air Jordan sneakers will each warehouse receive?
Answer:
342 pairs
Step-by-step explanation:
Given that,
New pair of sneakers produced by the Nike factory = 5,814
The company wants to distribute the sneakers evenly among their 17 warehouses.
We need to find the no of pairs of the Air Jordan sneakers will each warehouse receives. It can be calculated as follows :
[tex]n=\dfrac{\text{total pair of sneakers}}{\text{no of warehouses}}\\\\n=\dfrac{5814}{17}\\\\n=342[/tex]
It would mean that each warehouse will receive 342 pair of sneakers.
A new car is purchased for 20700 dollars. The value of the car depreciates at 13. 75% per year. What will the value of the car be, to the nearest cent, after 12 years?.
Answer:
13,452 is the value after 12 years
Step-by-step explanation: because
Slove
.........................................................................
Answer:
2/9
Step-by-step explanation:
hope this helps!
Answer:
The answer is 2/9
Step-by-step explanation:
Answer this, please!
Help!!!
Answer:
64 degrees.
Step-by-step explanation:
Angle AC forms a straight line, which means it will be 90 degrees. We know the angle of AE is 26, and angle EF is 90 degrees, indicated by the small square in the corner. You take 180 (angle AC) - 26 (angle AE) 90 (angle EF) and are left with 64.
answer please i need for homework
Answer:
first 1 is 1.6 x 10 ^-6 then second one is 20000000 which in sf is 2 x 10^7
Step-by-step explanation:
hope that helps xx
Answer:
Any time a positive number is multiplied by a negative number, the positive number will be turned into a negative number.
a)
-8,000 x -20,000 = 160,000,000 one hundred sixty million
b)
600 ÷ -300,000 = 0.002 or -500
b. What does the symbol QR represent?
A)line segment QR
B) angle QR
C) ray QR
D)line QR
Answer:
A or c
Step-by-step explanation:
it's one of dem I done dis on ireasy not the same thing tho
Translate this sentence into an equation
The product of 7 and Diego’s savings is 105, use the variable d to represent Diego’s savings
Solution:
Given:
Diego's savings = dRereading the phrase carefully:
[The product of 7 and Diego’s savings] [is] [105] ↥ ↥ ↥ 7d = 105Equation created: 7d = 105
will give brainliest
Answer:
A' = ( 3+1,2+2) =(4,4)
B'=(4+1,5+2)=(5,7)
C'=(6+1,3+2)=(7,5)
hope you like the answer
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please help 100 points please
Solution:
We know that:
Area of trapezoid = (a₁ + a₂)h/2a₁ = 8 inches; a₂ = 8 + 4 + 4 inches; Height = 6 in.This means that:
Area of trapezoid = (8 + 8 + 4 + 4)6/2Step-by step calculations:
Simplify the numerator:
Area of trapezoid = (8 + 8 + 4 + 4)6/2=> Area of trapezoid = (24)6/2Cancel the denominator:
=> Area of trapezoid = (24)3Simplify the term:
=> Area of trapezoid = 72 in²Area:-
[tex]\\ \rm\rightarrowtail 1/2(sum\:of\: parallel\:sides) Height [/tex]
[tex]\\ \rm\rightarrowtail 1/2(16+8)(6)[/tex]
[tex]\\ \rm\rightarrowtail 3(24)[/tex]
[tex]\\ \rm\rightarrowtail 72in^2[/tex]
find the value of x plz and thxs will mark brainliest
Answer:
x = 15
Step-by-step explanation:
The given angles are same- side interior angles and are supplementary, thus
6x + 7 + 3x + 38 = 180, that is
9x + 45 = 180 ( subtract 45 from both sides )
9x = 135 ( divide both sides by 9 )
x = 15
Answer:
x = 15
Step-by-step explanation:
these two angles are actually supplementary, which means they add up to 180.
using this, you can make this equation:
3x + 38 + 6x + 7 = 180
combine like terms.
3x + 6x + 38 + 7 = 180
9x + 45 = 180
subtract 45 from both sides.
9x = 135
divide both sides by 9
x = 15
A teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0. 30. The students feel the proportion of blue beads is lower than 0. 30. A student randomly selects 60 beads and finds that 12 of the beads are blue. The P-value for the test of the hypotheses, H0:p=0. 30 and Ha:p<0. 30, is 0. 45. What is the correct interpretation of this value?
There is a 4. 5% chance the proportion of blue beads in the container is 0. 3.
Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the null hypothesis is true.
Assuming the true proportion of blue beads in the container is 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone.
Assuming the true proportion of blue beads in the container is less than 0. 30, there is a 4. 5% probability that the sample proportion would be 0. 20 or less by chance alone
Answer: C
Step-by-step explanation:
P - Value
Is the evidence against the null hypothesis.
The lower the p-value, the greater the chance of rejection of the null hypothesis.
The greater the p-value, the greater the chance to accept the null hypothesis.
So, in other words, the question asks the probability of having accepted a null hypothesis.
So using the above statement we can say that statement C is true.
1. 5m + zm + 5n + zn
Answer:
The question is not clear. Is this the complete question?
A student purchases candy bars costing $1.46 each, including tax. She pays with a $20 bill and receives $8.32 back in change. How many candy bars does the student purchase?
Answer:
she purchased 8 candy bars
Step-by-step explanation:
first I would do 20-8.32=11.68
then i do 11.68 divided by 1.46=8
what is the slope of the line that has a y-intercept of -1?
Answer:
it should be either x or y
Step-by-step explanation:
you only said one number...