Answer:
-2
Step-by-step explanation:
Step 1: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation
Step 2:
try using y+2x+1=0 to rearrange the equation better.
A company makes cell phones in two different factories, one abroad and one more local. At the factory abroad it takes 30 hours to produce the cellphone and at the local factory it takes 20 hours. The costs of producing these cell phones are $20 each at the factory abroad and $60 each at the local factory. The company's total labor force can provide 6000 hours of labor each week and total resources are $12,000 each week. How many cell phones should the company make at each factory to maximize the amount of phones produced?
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of phones produced abroad and y represent the number of phones produced locally.
The company can provide 6000 hours of labor each week and it takes 30 hours to produce the cellphone abroad and at the local factory it takes 20 hours, hence:
30x + 20y = 6000 (1)
Also, there is a total resource of $12000 each week, the cost of producing abroad is $20 and the cost of producing locally is $60. Hence:
20x + 60y = 12000 (2)
Multiply equation 1 by 3 and subtract equation 2 from the result. This gives:
70x = 6000
x = 600/7 ≈ 86
Put x = 86 in equation 1:
30(86) + 20 y = 6000
20y = 3420
y = 171
86 phones should be produced abroad and 171 phones locally
Find 375g as a percentage of 15kg.
Answer:
\( \sf \: 375g \: is \: 2.5\% \: of \: 15kg\)
Step-by-step explanation:
Conversion of 15 kg into grams,
→ 1 kg = 1000 g
→ 15 kg = 15000 g
Let's find the percentage,
→ (375g ÷ 15kg) × 100
→ (375/15000) × 100
→ 0.025 × 100
→ 2.5%
Hence, the answer is 2.5%.
Solve 1 over 25 = 5^(x+4)
A. -7/2
B. -6
C. 9/2
D. 2
Answer:
\(\boxed{\underline{\tt B.\:x=-6}}\)
Step-by-step explanation:
\(\tt \cfrac{1}{25} = 5^{(x+4)}\)
(First, let's convert both sides to the same base):-
\(\tt 5^{-2}=5^{x+4}\)
(Now, cancel the base of 5 on both sides):-
\(\tt -2=x+4\)
( Subtract 4 from sides)
\(\tt x+4-4=-2-4\)
\(\tt x=-6\)
~
Quadrilateral WXYZ is a rectangle. Find each measure if m<1 = 30 . (Lesson 6-4 )
m<8
In a rectangle WXYZ, if the measure of angle 1 is 30 degrees, then the measure of angle 8 can be determined.
A rectangle is a quadrilateral with four right angles. In a rectangle, opposite angles are congruent, meaning they have the same measure. Since angle 1 is given as 30 degrees, angle 3, which is opposite to angle 1, also measures 30 degrees.
In a rectangle, opposite angles are congruent. Since angle 1 and angle 8 are opposite angles in quadrilateral WXYZ, and angle 1 measures 30 degrees, we can conclude that angle 8 also measures 30 degrees. This is because opposite angles in a rectangle are congruent.
Since angle 3 and angle 8 are adjacent angles sharing a side, their measures should add up to 180 degrees, as they form a straight line. Therefore, the measure of angle 8 is 180 degrees minus the measure of angle 3, which is 180 - 30 = 150 degrees.
So, if angle 1 in rectangle WXYZ is 30 degrees, then angle 8 measures 150 degrees.
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What is 18.92 divided by 11 equal explain your answer 28.5 got at the top and 10 at the bottom PLEASE I ONLY HAVE 19 MINS TO TURN THIS IN. EXPLAIN YOUR ANSWER!
The answer is 1.72.
What is division?Division is splitting into equal parts or groups.
Given that 18.92 divided by 11
Let’s have a simple division.
18.92 : 11 = 1.72
Hence, 18.92 divided by 11 equal to 1.72
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Help plz:))) I’ll mark u brainliest
ASAP!!!
I NEED HELP ON THIS ASAP!!
The solution of both inequalities is (-1, 2).
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have the inequalities
x+ y >1.........(1)
-x+ y <3.........(2)
The graph for x+ y >1 is shown by the red shaded region.
and, the graph for -x+ y <3 is shown by the blue shaded region.
Also , the Inequality intersect at (-1, 2) which shows the solution of both inequalities.
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Bobs new bike has 26 inch diameter wheels.what is the circumference of the new wheel.Give answer to 1 decimal place
Answer:
The circumference of Bob's new wheel is 81.7 inches
Step-by-step explanation:
Circumference of a circle
The circumference of a circle of radius r is given by:
\(C=2\pi r\)
The radius is half the diameter:
r = d / 2 = 26 / 2 = 13
r = 13 inch
Now calculate the circumference:
\(C=2\cdot\pi\cdot 13\)
Calculating:
\(C=81.7\ inch\)
The circumference of Bob's new wheel is 81.7 inches
The table lists the values of two parameters, x and y, of an experiment. What is the approximate value of y for x=4?
Answer:
y = 16
Step-by-step explanation:
From the pattern in the table we can see that x to the power of two results in y (2.5 x 2.5 = 6.25, 9.4 x 9.4 = 88.36, etc.) This means that 4 x 4 = 16, which is the value of y.
Answer:
16
Step-by-step explanation:
Plato/Edmentum
What is the value of z in the image.
13 is the value of z from the given figure.
What are the properties of Triangle?The properties of the triangle are:
The sum of all the angles of a triangle (of all types) is equal to 180°. The sum of the length of the two sides of a triangle is greater than the length of the third side. In the same way, the difference between the two sides of a triangle is less than the length of the third side.From the given figure,
∠ABE + ∠EBC =. 180
∠EBC = 180- ∠ABE
∠EBC = 180 - 9z -----(1)
∠ECB + 115 = 180
∠ECB = 65-----(2)
IN ∆EBC
∠BEC + ∠ECB + ∠EBC = 180
4Z + 180- 9Z + 65 = 180 ---------(from eq i & ii)
-5Z = -65
Z = -65/-5y
Z = 13
The value of z from the given figure is 13.
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Complete question:
A family of four drove to Disney World: It took 12 hours to get there. Parking was $15. The total cost of parking and admission was $195. How much was each ticket?
Which geometric construction depicts a ray?
Answer:
C is the answer
Step-by-step explanation:
i randomly found out
The geometric construction in option (C) depicts a ray.
What is ray?In mathematics, a ray is a segment of a line with a fixed starting point but no ending. It can go on forever in a single direction. A ray cannot be measured since it has no end point.
In the given geometric construction,
Diagram A, shows a parallelogram. Therefore, is not a ray.
In diagram B there is no starting point, it shows a line. Therefore, it is also not a ray.
In diagram C, there is a starting point and no ending point.
Depicts that this geometric construction is a ray.
Diagram D shows the line segment.
Hence, Diagram C depicts a ray.
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8. 10a - [4{5a - 3(a - 1)} - 3 (4a - 3a + 1)]
Step-by-step explanation:
Work with what is in the brackets first
10a-[4{5a-3(a-1)} - 3(4a-3a+1)]
=10a-[4{5a-3a+1-12a+9a-3}]
=10a-[4{-a-2}]
=10a-[-4a-8]
=10a+4a+8
=14a+8
FInd the value of x and y
Answer:
x = 142°, y = 38°
Step-by-step explanation:
Since (3y+28)° and x° are vertically opposite and corresponding, this means that x = 3y + 28
We also know that the sum of angles on the same side of a transversal is always 180°. This means that:
x + y = 180
Sub in x = 3y + 28
3y + 28 + y = 180
4y + 28 = 180
4y = 152
y = 38°
Now that we know that y = 38, we can sub this back into x = 3y + 28
x = 3(38) + 28
x = 114 + 28
x = 142°
You can double check this by finding the sum of x and y, which is 142 + 38 = 180
Therefore, x = 142°, and y = 38°
HELP!!
One cubic foot of water is equivalent to 7.48 gallons. If the capacity of the fish tank is 100 gallons, find the maximum possible height for the fish tank. Round your answer to the nearest thousandth of an inch.
Show your work.
The height of the fish tank should be approximately 1.981 feet which is also equivalent to 23.772 inches.
What is the maximum possible height for the fish tank?As desired capacity of the fish tank is 100 gallons, and 7.48 gallons of water are equivalent to 1 cubic foot, the desired volume of the fish tank is (100 / 7.48) cubic feet, or approximately 13.369 cubic feet.
The desired volume is stated as a number of cubic feet so the known dimensions of the fish tank must be converted from inches to feet.
length = 54 inches = 4.5 feet
width = 18 inches = 1.5 feet
The formula for the volume V of a rectangular prism with length l, width w, and height h is V = lwh. We will substitute the known dimensions into the formula and solve for h.
V = ℓwh
13.369 ≈ 4.5 × 1.5 × h
13.369 ≈ 6.75h
h ≈ 13.369 / 6.75
h ≈ 1.981
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i need help with this other one oof lol
Answer:
66
Step-by-step explanation:
2.2/3 × 2.3/4
6/3×11/4
24×33_ ÷ 12 = 66 I hope u understand
Marissa has a yard service to help people in her neighborhood. She earns $15 for each lawn she mows, $10 for each yard she weeds, and $5 for each yard she rakes. This month Marissa spent $3 on flyers to send out to neighbors, she purchased a new blower for $26, and paid her brother $18 for helping her mow lawns. If Marissa mowed 4 lawns and raked 8 yards, how much money did she make in profit? 1. 53 2. 100 3. 36 4. 71
Answer:
100-47=53 so 53$ profit
Step-by-step explanation:
the correct answer (reported to the proper number of significant figures) to the following is ________. (2115 - 2101) × (5.11 × 7.72) = ________
Reported to the proper number of significant figures, is 551.56 which has five significant figures.
The given expression is:(2115 - 2101) × (5.11 × 7.72)
Now let's evaluate the given expression to solve for the unknown. For that, we have to perform the mathematical operations in the following order according to the proper order of operations or the PEMDAS rule:
Parentheses or Brackets Exponents or Powers Multiplication or Division (from left to right) Addition or Subtraction (from left to right). So, let's solve the given expression by using the above rule.
(2115 - 2101) × (5.11 × 7.72)= 14 × (5.11 × 7.72)= 14 × 39.3972= 551.5608 ≈ 551.56
The answer, reported to the proper number of significant figures, is 551.56 which has five significant figures.
The first significant figure is 5 (it comes before decimal point), and the next four significant figures are 5, 1, 5, and 6 (they come after decimal point). The final answer should have no more than five significant figures because the least precise number given in the expression (2101) has four significant figures.
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Q(x)=.5x-3 q(x)=-4 please help
9514 1404 393
Answer:
x = -2
Step-by-step explanation:
Fill in the given value and solve.
-4 = 0.5x -3
-1 = 0.5x . . . . . add 3
-2 = x . . . . . . . .multiply by 2
Step-by-step explanation:
realy sorry but i don't know pardon mr for this
soooooooooooorrryyyyyy
Determine the solution for 0.7(2y + 13) = 1.4y + 9.1.
A. Infinite solutions
B. No solution
C. y = 6.5
D. y = 7.4
The equation 0.7(2y+13)=1.4y+9.1 will have infinite solutions , the correct option is (A) Infinite solutions .
In the question
the given equation is
0.7(2y+13)=1.4y+9.1
Simplifying further we get ,
0.7*2y + 0.7*13 = 1.4y + 9.1
1.4y + 9.1 = 1.4y + 9.1
Subtracting 9.1 from both the sides we get,
1.4y=1.4y
Dividing both the sides by 1.4 we get ,
y = y
The equation y=y is satisfied for all the values of y , so it will have infinite solutions .
Therefore , the equation 0.7(2y+13)=1.4y+9.1 will have infinite solutions , the correct option is (A) Infinite solutions .
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If the price of 8 movie tickets is $24, what is unit rate and what is the price of 11 movie tickets?
Unit Rate: 3
11 movie tickets: $33
Step-by-step explanation:
$24/8 = 3
The unit rate is 3
3 x 11 = $33
$33 for 11 movie tickets
Jonna ran a mile in a physical education class
A computer processes tasks in the order they are received. Each task takes an Exponential amount of time with the average of 2 minutes. Compute the probability that a package of 5 tasks is processed in less than 8 minutes.
The probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
Let X denote the time required to process a package of five tasks. X is an exponentially distributed random variable with mean 2 minutes.
The probability of X being less than 8 minutes is given by:
P(X ≤ 8) = 1 - P(X > 8)
= \(1 - (1 - e^{(-8/2)}^{5}\)
= 0.963
Therefore, the probability that a package of 5 tasks is processed in less than 8 minutes is 0.963.
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the answer is 100… but i don’t know how i got that… ♀️
Answer:
75
its easy
another question
Math problem
4x²+3x+5x²=___x²+3x
The blank in the expression is filled below
4x² + 3x + 5x² = 9x² + 3x
How to solve the expressionThe expression in the give in the problem includes
4x² + 3x + 5x² = ___x² + 3x
To simplify the given expression we can combine like terms by addition
4x² + 3x + 5x² can be simplified as
(4x² + 5x²) + 3x = 9x² + 3x
Therefore, the simplified form of the expression 4x² + 3x + 5x² is 9x² + 3x.
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Ms. Alonzo ordered 5,000 markers for her store. Only
1
10
of them arrived.
How many markers did she receive?
Answer:
500
Step-by-step explanation:
1/10 of 5000 is 500.
500 x 10 = 5000
What is the solution to the equation D 10 2d 7 8 D 10 3d?.
The value of d i s 1 .
ie. d=1
Define linear equation .
An equation between two variables that gives a straight line when plotted on a graph.
A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables .
Given:
d - 10 - 2d + 7 = 8 + d - 10 - 3d
On rearranging the given equation ,we get
In other words on taking the like terms to on one side ,so
⇒(d-2d-d+3d)=(8-10+10-7)
⇒d=1
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Anyone know how to do this?
From the given figure, the measure of angle OXZ is 10°.
Given that, XY and ZY are tangents to a circle with center O.
What is the angle formed with tangent and radius?Tangent and radius of a circle meet at 90°. If we draw a radius that meets the circumference at the same point, the angle between the radius and the tangent will always be exactly 90°.
Here, angle formed at the center is
∠ZOX = 180° - ∠XYZ
∠ZOX = 180° - 20°
∠ZOX = 160°
ZO = XO = radius
Now, ΔZOX is an isosceles triangle
So, ∠ZOX +∠OXZ+∠OZX = 180°
⇒ 160° + 2∠OXZ = 180°
⇒ 2∠OXZ = 20°
⇒ ∠OXZ = 10°
Therefore, from the given figure, the measure of angle OXZ is 10°.
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The probability that a marksman will hit a target each time he shoots is 0. 89. If he fires 15 times, what is the probability that he hits the target at most 13 times?.
A shooter has a 27.92% chance of hitting the target at least 13 times.
What does binomial distribution mean?Let X become a random variable and represent the number of times the target gets hit.15 shots are fired, hence 10 trials ("n") are conducted as a result.The likelihood of success is represented by "p" in a binomial distribution, and the likelihood of failure is represented by "q" (where q = 1 - p).p = 0.89 with q = 0.11 because the target has a 0.89 chance of being hit.This probability mass function in this type of binomial distribution is the quantity of successes ("x").
P(X = x) = ⁿCₓ . pˣ . qⁿ⁻ˣ
The required number of wins is five since we are concerned with the likelihood that target will be hit exactly five times.(i.e., x = 13).
P(X = 13) = ¹⁵C₁₃. (0.89)¹³ (0.11)²
P(X = 13) = 0.2792
P(X = 13) = 27.92%
Therefore, there is a 27.92% chance that a shooter will hit its target at the very most 13 times.
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Find the area of the triangle below.
Be sure to include the correct unit in your answer.
15 and
13 cm
20 cm