Answer:
if x > 5 => x - 3 > 2 >0
=> x - 3 > 0
So |x - 3| = x - 3
Rashaad has
x
x dimes and
y
y nickels, having no less than 18 coins worth at most $1.50 combined. At least 4 of the coins are dimes. Solve this system of inequalities graphically and determine one possible solution.
Answer:
see attached for a graph4 dimes, 22 nickelsStep-by-step explanation:
You want to solve graphically the system of inequalities expressing that Rashaad has no less than a total of 18 dimes (x) and nickels (y) with a combined value of at most $1.50, of which at least 4 are dimes.
InequalitiesAn inequality can be written for each of the constraints:
x + y ≥ 18 . . . . . . . no less than 18 coins
0.10x +0.05y ≤ 1.50 . . . . . . at most $1.50 in value
x ≥ 4 . . . . . . . . . . at least 4 dimes
GraphA graph of these inequalities is attached. The marked points are the vertices of the triangular solution space. Each is a possible solution, along with all of the grid points inside the triangle.
One possible solution is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.
Using graph to solve the system of linear inequality the most likely solutions will be 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50
What is System of Linear InequalitySystems of linear inequalities are equations with two or more linear inequalities that contain two or more variables. These equations can be used to represent real-world problems and to find the solutions of such problems. The solutions of a system of linear inequalities are all the points that are common to all of the linear inequalities in the system.
In this problem, we have to define our variables and then solve this using graphical method. The point of intersection between the two lines lies the solution to the linear inequality.
Let;
x = dimesy = nickelx + y ≥ 18
0.1x + 0.05y ≤ 1.50
x ≥4
Using a graphing calculator to solve this,
The possible solutions is 4 dimes and 22 nickels, for a total of 26 coins with a value of $1.50.
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GIVING BRAINLIEST FOR CORRECT ANSWER WITH EXPLANATION HELP NOW
Answer:
x = 250°
Step-by-step explanation:
"Angle formed between a chord and tangent intersecting on a circle measure the half of the intercepted arc"
From the figure attached,
Angle between the chord and the tangent = 55°
Measure of intercepted arc (minor arc AB) = h°
Therefore, 55° = [tex]\frac{1}{2}(h)[/tex]
[tex]h=110^0[/tex]
And m(minor arc AB) + m(major arc AB) = 360°
h° + x° = 360°
110° + x° = 360°
x° = 360° - 110°°
x = 250°
Therefore, measure of the intercepted arc is 250°.
1. Jason made 3 quarts of corn chowder. He divided it into serving sizes of 1 12 cups each. How many 1 12 -cup servings can be made from 3 quarts of chowder? A. 4 12 servings B. 8 servings C. 12 servings D. 18 servings
Answer:
B. 8 servings
Step-by-step explanation:
1 quart = 4 cups
3x4=12
3 quarts of clam chowder = 12 cups of chowder
1 1/2 cups each
12 divided by 1 1/2 = 12 divided by 3/2 = 12 divided by 2/3 = 8 servings
hazar is having 4 friends over to play video games. Each person will spend $6 on game rental and $4 on drinks and snacks, Write two expressions for the total cost for hazar and his friends
Answer: Here are two possible expressions for the total cost for Hazar and his friends:
The first expression is to add the cost of game rental and drinks and snacks for all the four friends
6x + 4x =10x where x is the number of friends
Second expression is to calculate the cost for each of the 4 friends and then add it together
(6 + 4) * 4 = 40
Both the expressions represent the same outcome, that is the total cost of $40 for Hazar and his friends to play video games.
It's depend on how you want to represent it, both are correct and represents the same outcome.
Step-by-step explanation:
how fast are you going if you fly 1500 kilometers in just 2 hours?
Please help me please
If x = 5, then which inequality is true
Answer:
G
Step-by-step explanation:
Plug X into the inequality.
(5) - 2 < 7 is true
Hope this helps! :)
Answer: G) x-2<7
Step-by-step explanation:
x=5
5-2<7
3<7
three is less than 7.
please hurry need done asap
Answer:
Last option is the correct answer
[tex] y=\frac{72}{x} [/tex]
Step-by-step explanation:
When x = 36
[tex] \implies y=\frac{72}{36} = 2[/tex]
When x = 18
[tex] \implies y=\frac{72}{18} = 4[/tex]
When x = 8
[tex] \implies y=\frac{72}{8} = 9[/tex]
When x = 6
[tex] \implies y=\frac{72}{6} = 12[/tex]
HELP HELP
13. A floor plan for a house uses a scale in which 1 inch represents 3 feet. The kitchen in the house is 10.5 feet wide. On the plan, the kitchen is
14. An architect is building a model of an apartment building that will be 186 meters tall. The architect uses a scale in which 1 centimeter represents 4 meters . The model will be
Answer:
13. 3.5
14. 21.5
Step-by-step explanation:
For each one, divide the real size by what 1 unit measures. For the first question, the real size is 10.5 and 1 unit (in this case an inch) represents 3 feet. So do 10.5/3 to get the number of inches uses to represent the total width. 10.5/3 = 3.5
For the second one, the real size is 186 meters. And 1 unit (this time it's a centimeter) represents 4 meters. So do 186/4 and you get 21.5, which is the number of centimeters used to represent the total height.
A triangular prism has a height of 9 meters and a triangular base with the following dimensions. What is the surface area of the prism? 420 m 2 324 m 2 504 m 2 372 m 2
Answer:
420 m2
Step-by-step explanation:
Hope this helps
The surface area of the prism will be equal to 366 square meters.
What is surface area?The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any object is called the surface area.
Given that:-
A triangular prism has a height of 9 meters and a triangular base with the following dimensionsThe surface area of the prism will be calculated as:-
Surface area = Sum of the area of all sides
There are three rectangle faces and two triangular faces in the triangular prism.
Surface area = 3 ( area of rectangle) + 2 (area of triangle)
Suraface area= 3 ( 10 x 9 ) + 2 [( 1/2)(16 x 6)]
Surface area = 270 + 96 = 366 square meter.
Therefore the surface area of the prism will be equal to 366 square meters.
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A sprinkler is designed to water a circular area that has a radius of 7 feet. The sprinkler is located at (0,0) on a lawn. A flowerbed is planted 3 feet east and 6 feet south of the sprinkler.
Determine if the distance from the flowerbed to the sprinkler places the flowerbed on or within the circular area that this sprinkler can water.
No. The flowerbed is 18 feet away from the sprinkler, which is more than the 7-foot radius.
Yes. The flowerbed is exactly 7 feet away from the sprinkler.
No. The flowerbed is 9 feet away from the sprinkler, which is more than the 7-foot radius.
Yes. The flowerbed is √45 feet away from the sprinkler, which is less than the 7-foot radius.
Yes. The flowerbed is √45 feet away from the sprinkler, which is less than the 7-foot radius.
Given that,
A circular area that has a radius of 7 feet.The sprinkler is located at (0,0) on a lawn.A flowerbed is planted 3 feet east and 6 feet south of the sprinkler.Based on the above information, the calculation is as follows:
[tex]= \sqrt(3^2 + 6^2) \\\\= \sqrt45[/tex]
= 6.7m
Therefore the above statement should be considered true.
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Answer:
It should be D
Step-by-step explanation:
What's the pattern of 1, 2, 4, 5, 7, 8, 10
Answer:
skipping by 3's
Step-by-step explanation:
Answer:
first term +1
second term +2
+1
+2
+1
+2
and so on
Step-by-step explanation:
Dan sold 40 concert tickets in 5 days. Each day he sold 3 tickets more than the previous day the number of tickets he sold on the third day is
Write an equation in slope-intercept form for the line perpendicular to y = -2x + 5 and containing the point (8,-3)
slope-intercept form of an equation for the line perpendicular to y = -2x + 5 is
y = 1/2x -7
What is perpendicular line?
The straight line that makes 90 degrees angle with a given line is called the perpendicular to the first line. The indicator of a line perpendicular to other line is the slope that is negative reciprocal to each other.
What is the equation of line perpendicular to the given line?
we know the slope intercept form of an equation of line is y = mx + b
m is the slope of line and b is the y intercept.
given, equation of a line, y = -2x+5
the slope m = -2 and y intercept, b = 5
we need to write an equation in slope-intercept form that perpendicular to the above line and containing the point (8, -3)
The required line of equation will have a slope equal to the negative reciprocal of the given slope.
hence, the slope will be m = 1/2
the equation of straight line will be y = 1/2x + b
as the line passes through the points (8, -3)
so, -3 = 1/2 × 8 + b
b = -7
y intercept of the new equation = -7
the new equation of line is y = 1/2x -7
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What does the variable s equal in this equation?
S-10 = 31
Answer:
s = 41
Step-by-step explanation:
[tex]s - 10 = 31[/tex]
Add 10 to both the sides in order to isolate the variable 's'.[tex]=> s - 10 + 10 = 31 + 10[/tex]
[tex]=> s = 41[/tex]
Math is a valuable skill for many workers at their jobs. List two specific examples where math is used in the workplace.
Answer:
1. A simple cashier working at a supermarket
2. Doctors/medical professionals
Step-by-step explanation:
Although usually simple the cashiers must be able to do basic math to be able to give the correct amount of change to the customer
Medical professionals are constantly converting measurements in the workplace needing math to help with their cases
Answer:
1. Doctors regularly analyze numbers, make computations and employ statistics or to find the success rate of treatments. Math skills also are important when analyzing X-rays and CAT scans.
2. Electrical engineers use math in many ways in their career. They use math to help design and test electrical equipment. They use math to calculate amp and volt requirements for electrical projects. They use math in creating computer simulations and designs for new products.
Step-by-step explanation:
And math teaches other important practices, including how to approach tasks methodically, pay attention to detail, and think abstractly. Science, technology, and engineering disciplines, for example, rely heavily on mathematics.
Find sin(a) in the triangle.
Answer:
D. 20/29
Step-by-step explanation:
The sine of an angle in a right triangle is the ratio between the side opposite to the angle and the side adjacent to the angle, or [tex]sin(a) = \frac{opposite}{hypotenuse}[/tex]. The hypotenuse is the longest side of a right triangle.
In this case, the opposite side has length 20, and the hypotenuse has length 29. Therefore, the answer is
[tex]sin(a) = \frac{20}{29}[/tex].
To remember this (and the other trigonmetric ratios), you can use the acronym SOCAHTOA, where
SOH is sin(a) = opposite/hypotenuse
CAH is cos(a) = adjacent/hypotenuse
TOA is tan(a) = opposite/adjacent
Luz has 2 red, 2 white, and 3 blue marbles in a cup. If she draws two marbles at random and does not replace the first
one, find the probability of a white marble and then a blue marble.
Answer:
The probability of white marble is 2/ 7
The probability of blue marble = 3/7
Step-by-steThe prop explanation:
l need help!! please
i will give Brainiest if you are right
Answer:
D. $69,160
Step-by-step explanation:
40,820(10) - 33,904(10) = 408,200 - 339,040 = 69,160
In a class of 55 students, 15 students liked Maths but not English and 18 students liked English but
not Maths. If 5 students did not like both, how many students liked both subjects?
Answer:
17
Step-by-step explanation:
The number of students that liked one more than the other or didn't like either is 15 + 18 + 5, which is 38. The rest of the students in the class liked both subjects. 55 - 38 = 17.
PLEASE HELP! GIVING 20 POINTS
do to the problem
find the surface area of this prism
Answer:
The surface area is 23
Step-by-step explanation:
Good Luck!
Answer:
A=2(wl+hl+hw)=2·(8·10+5·10+5·8)=340
Step-by-step explanation:
Find the surface area of the rectangular prism.
1yd
3 yd
5 yd
Answer:
Step-by-step explanation:
So first you going to multiply the 1 by the 5 yd then divide that 3 by how many blocks there are and then add your answer of 40
A company that manufactures cell phones has been given a quarterly operating budget of $951,615.00. The company's quarterly
operating cost consists of two costs: an overhead fixed cost and the manufacturing cost of each cell phone. The company knows
that the overhead fixed cost per quarter is $225,378.00, and the cost to manufacture each cell phone is $58.90.
If the company's quarterly operating costs cannot exceed the quarterly budget, then what is the maximum number of cell phones
that they can manufacture during the quarter?
OA. 19,983
OB
8,504
C. 4,677
OD.
12,330
Answer: D. 12,330 phones
Step-by-step explanation:
First remove the fixed cost from the operating budget so that the variable cost that can be spent on each phone is known in total:
= 951,615 - 225,378
= $726,237
With each phone costing $58.90, the total number of phones that can be produced is therefore:
= Variable budget / Variable cost per phone
= 726,237 / 58.90
= 12,330 phones
Without doing any calculations, compare Expression A to Expression B. ( 34 + 25 ) ÷ 1 4 34 + 25 Which statement is true? A. Expression A is 2 times as great as expression B. B. Expression B is 4 times as great as expression A. C. Expression A is 4 times as great as expression B. D. The two expressions are equal to each other. PLZZZZ HELP ME ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
C.Expression A is 4 times as great as expression B.
Step-by-step explanation:
Given - Without doing any calculations, compare Expression A to Expression B.
A. (34+25) ÷ 1/4
B. 34+25
To find - Which statement is true?
A. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A.
C.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each other.
Solution -
The correct answer is - C. Expression A is 4 times as great as expression B.
Reason -
Given that ,
Expression A is -
( 34 + 25 ) ÷ 1 /4
It can also write it as -
4(34 + 25)
And
Expression B given as -
34 + 25
So,
We can clearly see that,
Expression A is 4 times Expression B.
So,
Option C is correct.
What is the factored form. Help doing test rn!!!
Answer:
(y^3-2)(x^2-2)
Step-by-step explanation:
x^2y^3-2y^3 can be factored. This will be equal to y^3(x^2-2). Then for the other half it will be equal to -2(x^2-2). Because the insides are the same, the equation is the outside two number y^3 and -2 added together time the inside number x^2-2. This will make the expression (y^3-2)(x^2-2).
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Triangle ABC has side lengths AB = 3, BC = 4 and CA = 5, and angle measures ∠A = 53, ∠B = 90, and ∠C = 37. Triangle DEF has side lengths DE = 9, EF = 12and FD = 15, and angle measures ∠D = 53, ∠E = 90, and ∠F = 37. Is △ABC similar to △DEF? Explain.
Step-by-step explanation:
yes, the two triangles are right angled triangles
As part of a study on pulse rates, a random sample of 10 study participants had their pulse rate taken and asked to sit quietly for 5 minutes. At the end of 5 minutes, their pulse rates were taken again. The mean difference between the two pulse rates for the 10 participants is -1.2 beats per minute with standard deviation of 2.97. Researchers are interested in estimating the mean difference in pulse rates before and after the 5 minute waiting period for the population of study participants. Calculate the 90% confidence interval for the mean difference in pulse rates for the population of study participants. Use t*
Answer:
The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 10 - 1 = 9
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.8331
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.8331\frac{2.97}{\sqrt{10}} = 1.7[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is -1.2 - 1.7 = -2.9 beats per minute
The upper end of the interval is the sample mean added to M. So it is -1.2 + 1.7 = 0.5 beats per minute.
The 90% confidence interval for the mean difference in pulse rates for the population of study participants is between -2.9 beats per minute and 0.5 beats per minute.
10. Enter a fraction to 0.93. Use only whole numbers for numerators and denominators.
Answer:
93/100
Step-by-step explanation:
Answer:
93/100
Step-by-step explanation:
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Find the surface area of the sphere.
r=3 cm
Formulas for Spheres
S.A. = 41r2
V=far S.A. = [?] cm2
Round to the nearest tenth.
Answer: 113.0cm²
Step-by-step explanation:
The surface area if a square is calculated as:
= 4πr²
where, radius = 3cm
Surface area = 4πr²
= 4 × 3.14 × 3²
= 4 × 3.14 × 9
= 113.04
= 113.0cm²
Therefore, the surface area is 113.0cm²