[tex]2(q+p)=1+5q\implies 2q+2p=1+5q\implies 2q+2p-5q=1 \\\\\\ 2q-5q=1-2p\implies q(2-5)=1-2p\implies -3q=-2p+1 \\\\\\ q=\cfrac{-2p + 1}{-3}\implies q=\cfrac{2}{3}p-\cfrac{1}{3}[/tex]
Answer:
Step-by-step explanation: 2(q+p)=1+5q
2q+2p=1+5q
2q-5q=1-2p
-3q=1-2p/:(-3)
q=-1/3+2/3 p
Bella wants to buy blueberries and raspberries to make a fruit tart. Blueberries cost $3.75 per pound and raspberries cost $2.75 per pound. How much does she spend if she buys 3 pounds of blueberries and 1.5 pounds of raspberries? How much does she spend if she buys xx pounds of blueberries and yy pounds of raspberries?
Answer:
a) 15.375
B) at a minimum 65 dollars
Step-by-step explanation:
part one you multiply the pound by the price and get your answer and part 2 its a double digit number so you find the minimum
3 Points
SHORT ANSWER
Question 10
What is the area of the regular polygon shown below?
8 cm
Answer using complete sentences and include all relevant calculations.
H.
Answer:
[tex]12 \sqrt{6} [/tex]
Step-by-step explanation:
If each side of the regular hexagon measures 8cm then the area of the given hexagon is 96√3 square centimeters. 96√3 simplified is 12√6.
In the equation y = 2x + 3, if the change in x is 1, the corresponding change in y will be _____.
Answer:
search it
Step-by-step explanation:
PLEASE HELP!!! WILL MARK ANSWER BRAINLIEST!!!!!!! The manager of a hardware store took a random sample of 4.5 pounds of nails from a delivery of 350 pounds of nails. The manager found that 0.3 pounds of nails in the sample were defective. They were either bent, the heads were damaged, or they had been clipped too short during manufacture. How many pounds of defective nails should the manager expect the 350-pound delivery to contain? Round your answer to the nearest tenth of a pound.
The manager should expect the defective nails of 350-pound delivery to contain 23.3 pounds .
How to find defective rate?The defect rate is a measurement of the proportion of production units that are flawed or useless relative to a certain number of units. Businesses use this assessment to assess the quality of their products and how they affect their bottom line. Although lower rates are desired, no industry has a set acceptable fault rate. Therefore, businesses must choose their goal defect rate.
Defect rate is crucial because it enables firms to calculate the proportion of output units that fail quality checks. This assists the firms in identifying any issues with quality control or manufacturing and estimating the cost of each fault. To estimate the profitability of a product, businesses can also compare failure rates among comparable or dissimilar products.
In ever 4.5 pounds of nail defective nails are = 0.3 pounds
In ever 1 pounds of nail defective nails are = 0.3/4.5 pounds
In ever 350 pounds of nail defective nails are = (0.3/4.5)*350 pounds
⇒ the defective nails in 350 pounds of nails= 105/4.5
⇒ the defective nails in 350 pounds of nails= 23.3 pounds
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a.
A rectangular prism has a volume of 192 cm. Its length is 8 cm and its width is 6 cm. What is the prism's height?
4 cm
C. 24 cm
b. 48 cm
d. 32 cm I'll give Brainly
Answer:
4cm
Step-by-step explanation:
Volume of a rectangular prism is V = L x W x H
plug in what we know:
192 = 8 x 6 x H
192 = 48H
divide both sides by 48
H = 4
Troy walked 85 meters. Rico walked 29 meters.
How much farther did Troy walk than Rico?
Answer:
he walked 56 more than rico
How do you graph inverse functions and relations?
An inverse relation and function is the opposite of a relation and functions.
An ordered pair collection is referred to as a relation. Let's think about the two sets A and B. The cartesian product of A and B, indicated as A x B, is the set of all ordered pairs of the form (x, y), where x A and y B. A relation is any subset of the cartesian product A x B.
The inverse function f-1 takes each element in the range of an original function f and transfers it to the equivalent element in the function's domain. F must be one-to-one and onto since we are mapping the function f backward.
An onto function only has one output for each input, but a one-to-one function only has one input in the domain for each output in the range. This implies that each input has precisely one input for each output in order to have both.
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Can someone please explain how to do inequalities in math.
please add an example too.
There are 7 1/2 pounds of potatoes. 1/6 of the potatoes are rotten. What is the weight of good potatoes. Fraction form
Answer:
6 1/4 pounds
Step-by-step explanation:
There are 7 1/2 pounds of potatoes, which is equivalent to 7 1/2 = 7.516=120
120 ounces of potatoes.
If 1/6 of the potatoes are rotten, then 1/6*120 = 20
20 ounces of potatoes are rotten.
Thus, the weight of the good potatoes is 120-20 = 100
100 ounces.
Converting this back to pounds, we get
100/16 = 6 1/4
6 1/4 pounds.
Pls answer this question
Answer:
1) B
Step-by-step explanation:
1)
The formula for the volume of a prism is h * l * w
So, if we do that we get 25/18
2) B
Lets say we talk the top surface, there are 30 cubes on that surface and we want to find the volume of one cube so we are going to divide by 50. we take the measurements which are 5/6 and 1 for the top surface and we multiply. We get an answer of 5/6 now we divide by 30
So...
5/6 * 1/30 (We switched the numbers around because we are dividing.)
5/6 * 1/30 = 5/180 now we can simplify this to 1/36.
5 and 180 are a factor of 5
Hope this helps
Cos theta = -1/6 what is tan theta
Therefore , the solution to the given problem of trigonometry comes out to be tanθ = - √35 .
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every straight-sided shape may be reduced to a set of triangles. Remarkably intricate connections exist between trigonometry and other areas of mathematics, particularly calculus, real or complicated, exponentials, logarithms, and infinite series.
Here.
Given : Cosθ = -1/6
To find : Tanθ
Since cosθ is in second quadrant
Thus,
Cosθ = B/H
According to pythagoras theorem,
H²= B²+ P²
=> 6² = 1² + P²
=> 36-1 =P²
=>P= √35
So ,
value of Tanθ comes out to be
=> tanθ = - √35 /1
=>tanθ = - √35
Therefore , the solution to the given problem of trigonometry comes out to be tanθ = - √35 .
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Find the area of the rectangle with a length of (5x + 4) and a width of (3x - 2).
Answer: the answer is 9x
Step-by-step explanation:
10. A list of data has one number: 20. What is the
mean, median, mode, and range?
Answer:
Mean: 20
Median: 20
Mode: 20
Range: 20
Step-by-step explanation:
. A factory produces 32 tables in an 8-hour day. Calculate how many
tables are produced:
a ) in 1 hour b) in 3 days c ) in a 5-day week
Answer:
A) 4
B)280
C)480
Step-by-step explanation:
1. 32÷8 =4
multiply 4 by the times of hours in that day frame
and boom you got your answers
There are 8 pencils in each pack of pencils. A teacher ordered some packs of pencils. How many pencils will the
teacher receive?
Answer: The teacher will receive 96 pencils
Step-by-step explanation:
1.) You take the amount of packs she ordered and multiply it with the amount pencils in each pack. (12x8)
answer to this please
Answer:
Sue travels for 3 hours and a half
Sue stays stationary for 2 hours and a half
Step-by-step explanation:
Everytime the curve climbs, it means Sue is travelling. Everytime the curve stays flat, it means Sue is stays stationary. It remains to count up the total for both categories, with one square being 30 minutes.
Sue spends 3.5 hours on travelling and 2.5 hours stationary.
What is distance-time graph?It is a graph which shows how far an object has travelled in a given time.
What is a stationary graph?It is graph of function which represents there is no change in the function value or the function value is constant.
What is change in value?"subtract old value from new value."
For given example,
Given distance-time graph represents a journey made by Sue.
Let 't' represents the travelling time and 's' represents the stationary time.
If we observe the graph,
from 2 pm to 3 pm Sue travelled 5 miles
⇒ t1 = 3 - 2
⇒ t1 = 1 hour
from 3.5 pm to 4 pm she travelled 10 miles
⇒ t2 = 4 - 3.5
⇒ t2 = 0.5 hour
from 5 pm to 6.5 pm she travelled 15 miles
⇒ t3 = 6.5 - 5
⇒ t3 = 1.5 hours
from 7.5 pm to 8 pm she travelled 5 miles
⇒ t4 = 8 - 7.5
⇒ t4 = 0.5 hour
So, the total travelling time would be,
⇒ t = t1 + t2 + t3 + t4
⇒ t = 1 + 0.5 + 1.5 + 0.5
⇒ t = 3.5 hours
Also, Sue spends stationary from 3 pm to 3.5 pm
⇒ s1 = 3.5 - 3
⇒ s1 = 0.5 hour
She spends stationary from 4 pm to 5 pm
⇒ s2 = 5 - 4
⇒ s2 = 1 hour
She spends stationary from 6.5 pm to 7.5 pm
⇒ s3 = 7.5 - 6.5
⇒ s3 = 1 hour
So, the total stationary time would be,
⇒ s = s1 + s2 + s3
⇒ s = 0.5 + 1 + 1
⇒ s = 2.5 hours
Therefore, Sue spends 3.5 hours on travelling and 2.5 hours stationary.
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Which of the following is an exponential function?
a) f(x)=5x-6
b) f(x)=2/x
c) f(x)=3x^3
d) f(x)=3^x
Answer:
d) f(x)=3^x
Step-by-step explanation:
it is written in exponential function form
Find the value of c that creates a perfect square trinomial.
x^2+16x+c c =
x^2−20x+c c =
Answer:
c=8
c=100
Step-by-step explanation:
Which single power is equivalent
how to solve inequations
Answer:
When solving an inequality: you can add the same quantity to each side •you can subtract the same quantity from each side you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed.
you can add subtract multiply and divide the quantity to each side
But if you’re doing any of those with a negative quantity, the inequality symbol must be reversed
3 x -8> 29
3 x -8 < 29
HELP THIS IS URGENT!!!! During a sale, a store offered a 35% discount on a camera that originally sold for $750. After the sale, the discounted price of the camera was marked up by 35%. To the nearest whole number, what percent of the original price was the price after markup?
Answer:
the percentage is 62%
Step-by-step explanation:
show your work plz and i will give brainliest
Answer:
B) is false
Explanation:
A triangle canot have 2 abtuse angles and one acute angle.
Answer:
B is false
Step-by-step explanation:
a is true because an equilateral triangle has three acute angles (60 degrees)
c is true because an iscoceles triangle can be drawn with one obtuse angle and two acute angles.
d is true because a right angled triangle can be drawn with one right angle and two acute angles.
b is false because neither an equilateral, iscoceles, right-angled, or scalene triangle can be drawn with two obtuse angles.
Would it be possible for 3x2 to equal 1?
Answer:
no
Step-by-step explanation:
3x2=6 ;-;
Is it possible for [tex]3\times2[/tex] to equal 1?
[tex]3\times2=6[/tex]
[tex]6\neq 1[/tex]
Therefore, [tex]3\times2[/tex] DOES NOT equal to 1.
Use the graph of the function to find the domain and range of f. (Enter your answer using interval notation.)
The domain and range of the functions are Domain: (-∞,∞),{x|x∈R} and Range: [4,∞),{y|y≥4}.
What is vertex form of a quadratic function of graph?The vertex form of a quadratic function is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola. The coefficient a determines whether the graph of a quadratic function will open upwards or downwards.
From the graph, vertex is (h, k)=(0, 4) and (x, y)=(2, 0)
Here, y= a(x - h)² + k
0=a(2-0)+4
-4=2a
a=2
Substitute, a=2 and (h, k)=(0, 4) in y= a(x - h)² + k, we get
y=2(x-0)²+4
y=2x²+4
So, f(x)=2x²+4
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: (-∞,∞),{x|x∈R}
Range: [4,∞),{y|y≥4}
Now,
(a) f(-3)= 2(-3)²+4=18
(b) f(2)= 2(2)²+4=12
(c) f(0)= 2(0)²+4=4
(d) f(3)= 2(3)²+4=18
Therefore, the domain and range of the functions are Domain: (-∞,∞),{x|x∈R} and Range: [4,∞),{y|y≥4}.
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does anyone know the answer to this??
Answer:
10 4/15
Step-by-step explanation:
(4+5)+(2/3+3/5)
9+(2/3+3/5)
9+19/15
9+1 4/15
10+4/15
10 4/15
PLEASE HELP ME ASAP!!!!!!!!!
In a school, 10% of students have 7 ball pens, 30% of students have 3 ball pens, 40% of students have 2 ball pens and 20% of students have 1 ball pens. What is the expected number of ball pens of a student?
The expected number of ball pens of a student is 2.4.
What is the expected number?
In statistics and probability analysis, the expected value is calculated by multiplying each of the possible outcomes by the likelihood that each outcome will occur and then summing all of those values.
The expected number of ball pens of a student can be calculated by taking a weighted average of the number of ball pens that each group of students has.
The weight for each group is the percentage of students that are in that group.
So, we can calculate the expected number of ball pens of a student by:
(10% * 7) + (30% * 3) + (40% * 2) + (20% * 1)
0.7 + 0.9 + 0.8 + 0.2
The expected value is also known as the population means and it can be calculated by summing the product of each outcome’s probability and its corresponding value.
Here, the outcome is the number of ball pens.
Hence, the expected number of ball pens of a student is 2.4.
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Find m/ABD and m/DBC. Enter deg after any value that is in degrees.
Therefore, as a result, the angles of the triangle m∠ABD and m∠DBC equal 37 et 58 degrees, accordingly.
Defining a triangleYou can link any key steps in a plane to form triangle, that have sides and three angles. They were among of the first geometric forms to be examined. Since triangles might well be divided into any polygon, regardless of whether it contains four, five, six, ... n sides, they are very significant.
Here,
Given that in this case mABC is 95 degrees
The meeting of two lines forms an angle, while a line cutting an angle in half equally divides it.
Looking at the example,
∠ABC is equal to ∠ABC + ∠ABCD.
with the following
95 degrees, ∠AB
∠ABD = 2x + 23
∠DBC = 9x - 5
Put the missing pieces of the equation in.
95 = 2x + 23 + 9x - 5
95 =11x +18
11x = 95 - 18
11x = 77
x = 77/11
x = 7
Recognize the angle AB
∠ABD = 2x + 23
∠ABD = 2(7) + 23
<ABD = 14 + 23
∠AB = 37°
Apply the ∠DBC angle.
95 - ADBD is ∠DBC.
∠DBC = 95 - 37
A DB of 58 degrees
The readings of m∠ABD and m∠DBC are therefore 37 and 58 °, respectively.
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A model rocket is launched off the top of a platform. The height of the rocket is given by the function h(t) = -4.9t2+ 86t + 2.1, where h(t) is the height in meters and t is the time in seconds. When will the rocket's height be 200m?
Answer:
t = 14.82 and 2.72secs
Step-by-step explanation:
Given the function of the rocket height expressed as;
h(t) = -4.9t^2+ 86t + 2.1
if the rocket height is at 200m, then;
200 = -4.9t^2+ 86t + 2.1
multiplying through by 10
2000 = -49t^2 + 860t + 21
49t^2 - 860t - 21 + 2000 = 0
49t^2 - 860t + 1979 = 0
Factorize
t = 860±√(860)²-4(49)(1979)/2(49)
t = 860±√739,600-387,884/98
t = 860±√351,716/98
t = 860±593.06/98
t = 860+593.05/98 and 860-593.05/98
t = 1,453.05/98 and 266.94/98
t = 14.82 and 2.72secs
These are the times
1. What is the measure of angle ABE?
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2. Select all true statements about the figura
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The solution is 40°
The measure of the angle ∠ABE = 40°
What are Parallel Lines Cut by Transversal?Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.
Corresponding angles
When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position
Alternate Interior Angles
Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.
Alternate Exterior Angles
The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.
Consecutive Interior Angles
When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.
Given data ,
Let the angle be represented as ∠ABE
Now , let the line be EBC and the total angle of a straight line = 180°
And , the measure of ∠CBD = 40°
Since , ∠ABE and ∠CBD are vertically opposite angles ,
The measure of ∠ABE = measure of ∠CBD
Therefore , the value of ∠ABE = 40°
Hence , the measure of vertically opposite angle ∠ABE = 40°
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Which expression represents the growth of an investment of $2,000 at 4% per year for a period of t years?
2000t1.04
2000(0.04)t
2000(1.04)t
2000(1.4)t
Answer:
2,000(1.04)t
Step-by-step explanation:
To determine this answer, you would use the formula initial value (1 + interest) times the number of years. This would equal 2,000(1.04)t.
Answer:
Which expression represents the growth of an investment of $2,000 at 4% per year for a period of t years?
2000t1.04 2000(0.04)t 2000(1.04)t <<<CORRECT 2000(1.4)t
Step-by-step explanation:
Edge 2021