The inequlity according to the given statement will be equal to 280 + 92(x) ≥ 1,108.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the given information in the question,
Rate of production per hour by the factory = 92 per hour
The factory has to produce at least 1,108 units.
Number of units produced today = 280
Assume x is the number of production hours,
Then, the equation will be,
280 + 92(x) ≥ 1,108 units.
To know more about Inequality:
https://brainly.com/question/28823603
#SPJ1
70% of $10 =_____________________
Answer: 7
Step-by-step explanation:
15) A balloon is secured to rope that is staked to the ground. A breeze blows the balloon so that the
rope is taut while the balloon is directly above a flag pole that is 40 feet from where the rope is
staked down. Find the altitude of the balloon if the rope is 80 feet long. HINT: Use the
Pythagorean Theorem., label the drawing.
A) 2√10 ft
B) 40-√√5 ft
C) 40-√√3 ft
D) 4√ √/30 ft
The altitude of the balloon found using Pythagorean Theorem is 40·√3 feet, the best correct option is option C)
C) 40·√3 ft
What is the Pythagorean Theorem?The Pythagorean Theorem states that the square of the hypotenuse side of a right triangle is the same as the sum of the square of each of the two legs of the right triangle.
15) The parameters in the question includes;
Horizontal distance of the flag pole from the point the rope is staked down = 40 feet
Length of the rope to which the balloon is secured = 80 feet
Location of the balloon = directly above the flag pole
Therefore, the altitude of the balloon, the length of the rope, and the horizontal distance from the flag pole from the point the rope is staked form a right triangle, with the length of the rope representing the hypotenuse side.
Let h represent the altitude of the flag pole, using Pythagorean Theorem, we get;
80² = 40² + h²
Therefore; h² = 80² - 40² = 4800
The altitude of the balloon, h = √(4800) = 40·√3
The altitude of the balloon, h is 40√3 feetLearn more about Pythagorean Theorem here:
https://brainly.com/question/18929869
#SPJ1
need help on This question I’ll give you brainliest
Answer: it is A.
Step-by-step explanation: I did the quiz
Find the weight of a 176-cm male to the nearest kg whose BSA = 2.3.
The weight of the male that has a body surface area of 2.3 would be = 108kg
What is Body Surface Area (BSA)?The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.
The formula for BSA = √w×h/3600
The weight of the male = X
The height of the male = 176cm
The BSA = 2.3
From the formula, make w the subject of formula;
w = BSA²× 3600/h
w = 2.3²× 3600/176
w= 5.29×3600 /176
w = 19044/176
w = 108kg
Learn more about weight here:
https://brainly.com/question/17490356
#SPJ1
If the change in velocity of a car is 30 m/s and the time interval is 5 seconds, the acceleration of the car is ________ m/s2
Answer:
-4 acceleration
Step-by-step explanation:
: )
A questionnaire was given to students in an introductory statistics class during the first week of the course. One question
asked, "How stressed have you been in the last 2 weeks, on a scale of 0 to 10, with 0 being not at all stressed and 10 being
as stressed as possible?" The students' responses are shown in the frequency distribution. How many students were involved
in the study?
students
Answer:
Step-by-step explanation:
2+0 is zero I mean two and 1+1 is two and 5+ I forgot something and you know you just need to add them up together in it at all your answer
Please help need to turn in asap
Answer:
4.5 or equivalently 4 1/2 or 9/2
All are equivalent
Units are miles/hour
Step-by-step explanation:
Take any two points on the graph. Divide the change in y values to the change in x values and you get the rate
Chosen points: (0, 0) and (2, 9)
Rate of change = (9-0)/(2-0) = 9/2 = 4.5
25 to 45 in to a fraction
8.5 by 11 rectangle folded in half. What is the length of the long side
I guess it sort of depends on whether you are folding the rectangle in half "long-ways" or "short-ways", however, if the rectangle is folded "long-ways", then the length of the new long side would be 5.5, with the shorter end being 4.25, or just 4.2.
Hope this helps!
Your fixed expenses are $1,235.78/month. You want to save 6 months' worth for an emergency fund over a year’s time. How much must you save each month?
Answer:
The correct answer is 514.90
Step-by-step
A car uses data to help determine the color of cars to order for this year. The data displays how many cars were sold the previous year. Each dot
represents 10 cars. Use the dot plot to answer the question.
How many cars were sold that were not white?
A 100
B190
C 19
D 25
The number of cars sold that were not white based on the dot plot is 19
How to determine the number of cars sold that were not whiteFrom the question, we have the following parameters that can be used in our computation:
The dot plot represents the given parameter
From the dot plot, we have the following values represented as follows:
The above parameters means that the following cars are not white cars
So, we have the following representation
Count of red cars = 5Count of black cars = 8Count of silver cars = 1Count of gray cars = 4Count of blue cars = 1When these frequencies are added, we have
Total = 5 + 8 + 1 + 4 + 1
Evaluate the sum
Total = 19
Hence, the number of cars is 19
Read more about dot plots at
https://brainly.com/question/16926277
#SPJ1
someone help me ASAP
I have to find angle 1 and angle 3
Answer:
∠1 = 52
∠2 = 128
∠3 = 52
Step-by-step explanation:
∠2 = ∠4 Because of vertical angles
∠1 = ∠3 Because of vertical angles
∠1 + ∠4 = 180 Because of supplementary angles
Here, we are given that ∠4 = 128°
∠4 = ∠2 So ∠2 = 128°
∠1 + ∠4 = 180
∠4 = 128°
∠1 + 128° = 180
==> subtract 128 from both sides
∠1 = 52
∠1 = ∠3
∠1 = 52 meaning that ∠3 = 52
Answer:
m<1 = 52°
m<3 = 52°
m<4 = 128°
Step-by-step explanation:
Given: m<2 = 128°
<1 is supplementary to <2.
m<1 + m<2 = 180°
m<1 + 128° = 180°
m<1 = 52°
Angles 1 and 3 are vertical angles, so they are congruent.
m<3 = 52°
Angles 2 and 4 are vertical angles, so they are congruent.
m<4 = 128°
Assemble the proof by dragging tiles to the statements and reasons columns.
Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC
What are congruent triangles?
When corresponding sides and angles of two triangles are congruent, they are said to be congruent triangles.
Given is figure of triangles,
In Δ ADC and Δ BCD,
AD ≅ BC (given)
∠ BCD ≅ ∠ ADC (given)
DC is common segment in both,
Therefore, Δ ADC ≅ Δ BCD by SAS rule
∠ DAE ≅ ∠ CBE by CPCTC
∠ AED ≅ ∠ BEC by vertically opposite angles postulate.
Δ AED ≅ Δ BEC by AAS rule
DE ≅ CE by CPCTC
Hence, Triangles AED and BEC are congruent by AAS rule, so DE ≅ CE by CPCTC
For more references on congruent triangles, click;
https://brainly.com/question/22062407
#SPJ1
Analyze and Persevere Last month, a truck driver made
5 round-trips to Los Angeles and some round-trips to San Diego.
Write an expression that shows how many miles he drove in all.
Identify and describe the part of the expression that shows how many miles he drove and trips he made to San Diego.
The expression that shows the number of miles he drove and trips he made to San Diego is; 3850 + yb
How to solve Algebra word problems?Let a round trip to Los Angeles be denoted by the variable; x
Let the number of miles in a round trip to Los Angeles be denoted by the variable a
Let a round trip to San Diego be denoted by the variable: y
Let the number of miles in a round trip to San Diego be denoted with the variable: b
This means that our algebraic equation representing the number of miles driven in all to be: xa + yb
Since the truck driver made 5 round-trips to Los Angeles, then it means that, we have the equation;
5a + yb as the total miles driven in all.
However, from the table attached, a round trip to Los Angeles is 770 miles. Thus;
Total miles driven = 5(770) + yb = 3850 + yb
Read more about Algebra word problems at; https://brainly.com/question/28339921
#SPJ1
One poster has a width of x + 5 inches, and
the other has a width of x + 3 inches. Write an
expression to represent the area of wall that the
posters will cover.
The area that represent the wall the poster will cover is as follows:
x² + 10x + 25x² + 6x + 9What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Therefore, One poster has a width of x + 5 inches, and the other has a width of x + 3 inches.
The expression to represent the area of wall that the posters will cover can be calculated as follows:
area = w²
area of the first poster = (x + 5)² = (x + 5)(x + 5) = x² + 5x + 5x + 25 = x² + 10x + 25
area of the second poster = (x + 3)² = (x +3)(x + 3) = x² + 3x + 3x + 9 = x² + 6x + 9
learn more on area here: https://brainly.com/question/28819587
#SPJ1
2/3 = 4x
X = ?
i dont know what this is
Don’t even know where to start! Please help with an explanation, thanks! :)
The values of the unknown angles are ∠1 = 92°, ∠2 = 24°, ∠3 = 64°, ∠4 = 35°, ∠5 = 81°
What are corresponding angles?Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line (i.e. the transversal). For example, in the below-given figure, angle p and angle w are the corresponding angles.
∠1 + 88 = 180°( angles on a straight line)
∠1 = 180 - 88 which is 92°
∠3 = 64°( corresponding angles are equal)
∠2 + ∠1 + ∠3 = 180( sum of angles in a triangle)
∠2 + 92° + 64° = 180
∠2 = 180 - 92 - 64
∠2 = 24°
∠4 + 81 + ∠3 = 180 ( angles on a straight line)
∠4 + 81 + 64 = 180
∠4 = 180 - 64 -81
∠4 = 35°
∠5 = 81°( alternate angles are equal)
In conclusion the values of ∠1, ∠2, ∠3, ∠4, ∠5 are 92°, 24°, 64°, 35° and 81° respectively.
Learn more about angles: https://brainly.com/question/25716982
#SPJ1
HELP ME OUT OMG THANKS
Answer: 3 [tex]\frac{4}{5}[/tex]
Step-by-step explanation:
Answer:
7 1/5
Step-by-step explanation:
What is the slope of a linear function that passes
between (2, 7) and (5, 12)?
Answer:
5/3 is the slope
Step-by-step explanation:
Use the slope formula
m = y2 - y1/ x2 -x1
Answer:
Slope = 5/3
Step-by-step explanation:
Formula we use,
→ Slope = (y2 - y1)/(x2 - x1)
Now the required slope will be,
→ m = (y2 - y1)/(x2 - x1)
→ m = (12 - 7)/(5 - 2)
→ [ m = 5/3 ]
Hence, required slope is 5/3.
Examine the rhombus below slove for x 5x-3
Please help it for a test worth 95 points
Answer: I'm pretty sure the answer is either 18.6, or 90
Tell me in the comments if I'm wrong
A bakery offers a sale price of $3.40 for 6 muffins. What is the price per dozen?
Answer: The sale price per dozen would we around $6.80 with no tax included.
Step-by-step explanation:
Descartes sees 18 oranges on the tree and 13 on the ground.
Newton sees 6 on the ground. Descartes and Newton see the
same amount of oranges. How many oranges does Newton
see on the tree?
quick! please help! write the equation of line that has a slope of 7 and passes through the point (1,8)
Answer: y=7x+1
Step-by-step explanation:
y=mx+b
Given:
slope= 7
point is (1,8)
Replace x and y for those numbers:
8=7(1)+b
Solve for b:
8=7+b
b=1
Final equation:
y=7x+1
show all work pls help
1. There were 6 boys and 9 girls on the camping trip.
What was the ratio of boys to girls?
What was the ratio of girls to boys?
2. There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.
What is the ratio of tomato plants to lettuce plants?
What is the ratio of lettuce plants to cucumber plants?
3. If Jan can buy 10 copies of a certain book for $40, what is the unit rate for cost per copy? How much would it cost her to buy 20 copies at the same rate?
The ratios are as follows
Ratio of boys to girls = 2:3
Ratio of girls to boys = 3:2
Ratio of tomato plants to lettuce plants = 1:2
Ratio of lettuce plants to cucumber plants = 4:1
Unit rate = $4
Cost of buying 20 copies = $80
What are ratios?
Ratios compare two numbers, usually by dividing them.
If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.
For example, if A is five and B is 10, your ratio will be 5/10.
According to the given question:
1) There were 6 boys and 9 girls on the camping trip.
Ratio of boys to girls = 6:9 = 2:3
Ratio of girls to boys = 9:6 = 3:2
2) There are 4 tomato plants, 8 lettuce plants, and 2 cucumber plants in Jill's garden.
Ratio of tomato plants to lettuce plants = 4:8 = 1:2
Ratio of lettuce plants to cucumber plants = 8:2 = 4:1
3) If Jan can buy 10 copies of a certain book for $40
Unit rate = 40/10 = $4
Cost of buying 20 copies = 20 x 4 = $80
To know more about ratios visit
https://brainly.com/question/1504221
#SPJ1
Pham has 390 National League baseball cards. If this accounts for 75% of his card collection, how many baseball cards does he have in his collection? Use any strategy to solve.
Answer:
520
Step-by-step explanation:
390/3=130, 130x4=520
In 2006 the median yearly family income was about 48,200 per year suppose the average annual rate of change since then is $1240 per year. Write and graph the equality for the annual family incomes y that are less than the median x years after 2006
The inequality for the annual family income is:
y < 1240x + 48,200
What is inequality?
An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.
Let x=0 be the year 2006
The inequality is:
y < 1240x + 48,200
Graphing:
Consider equal sign in place of < symbol
Take random values for x, find corresponding y values and plot them
Mark it as dashed line as shown in the graph because of the inequality symbol "< "
To learn more about the inequality from the given link
https://brainly.com/question/25275758
#SPJ1
What is 30x2? Id love to know
Help please!!!!!!!!!!!!
Answer:
4.) m > 7
5.) k + (-5) > 30 (The ">" has a line under It)
6.) 0.875
I don't know what it means when it says "graph the solution set" but I simplified it for you!
What is the value of the expression below when x=7x=7? x^2+9x-10
Answer:
Step-by-step explanation:
Examine the following triangle.
Based on the given information, what is the measure of the missing length, w?
Enter your answer as a number.
Answer:
16
Step-by-step explanation:
You must use the Pythagorean theorem to find w. Because you are looking for a leg, you must do a² - b² = c². This translates to 20² - 12² = w². If you enter the numbers into your calculator 20²- 12² = 256. You must then square root 256, and if you input √256 into your calculator you will get your final answer of w = 16.