The number of integers that satisfies the inequalities, -5 ≥ -7•x and -15 ≥ 5•x is zero or non
How can the inequalities be simplified?The given inequalities are;
-5 ≥ -7•x and -15 ≥ 5•x
Simplifying the inequalities gives;
-5 ≥ -7•x
Dividing both sides by -7 gives;
-5/-7 ≤ -7•x/-7 = x
Therefore;
5/7 ≤ x
Which gives;
x ≥ 5/7The second inequality is simplified as follows;
-15 ≥ 5•x
-15/5 ≥ 5•x/5
-3 ≥ x
Which gives;
x ≤ -3
Therefore;
-3 ≥ x and x ≥ 5/7
5/7 ≤ x ≤ -3
However, 5/7 > -3
The number of integers that satisfies the inequality, 5/7 ≤ x ≤ -3, is zero (no integer satisfies the inequality).
Therefore;
Non of the integers satisfies both -5 ≥ -7•x and -15 ≥ 5•x
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The area of the parallelogram is 4 times the area of the triangle.
The perpendicular height of the parallelogram is h cm.
Find the value of h.
*HOMEWORK QUESTION*
Answer:
13
Step-by-step explanation:
Area of triangle = 0.5 × base × height
= 0.5 × 6 × 13
= 39
Area of parallelogram = 4 × Area of triangle
Note - Area of parallelogram = base × perpendicular height
Hence,
Base × perpendicular height = 4 × 39
12 × H = 156
H = 156 ÷ 12
= 13
Answer = 13
Answer:
h = 13 cm
Step-by-step explanation:
the area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = 6 and h = 13 , then
A = [tex]\frac{1}{2}[/tex] × 6 × 13 = 3 × 13 = 39 cm²
Then the area (A) of the parallelogram = 4 × 39 = 156 cm²
the area (A) of the parallelogram is calculated as
A = bh ( b is the base and h the height )
here b = 12 , then
12h = 156 ( divide both sides by 12 )
h = 13
. f(x) = 2x-5; Find f(-8)
Manny took home a couple of his friends after soccer practice. he originally had 4 gallons of gas in his car. he used 1.05 gallons of gas to take one friend home and three tenths gallon to take the other friend home. how much gas did he have left in his car after taking both friends home? 1.04 gallons 2.95 gallons 3.70 gallons 2.65 gallons
Answer:
2.65 gallons
Step-by-step explanation:
He originally had 4 gallons and he used 1.05 gallons.
4 - 1.05 = 2.95
He then used another three-tenths to take another friend home.
Three-tenths is equal to 3/10 or 30/100 or 0.30
2.95 - 0.30 = 2.65 gallons
Please helpp
−5(−2/3)
Answer:
[tex]\frac{10}{3}[/tex] or 3.3333.....
Hope this helps.
Step-by-step explanation:
( negative ) * ( negative ) = ( positive )
5 * [tex]\frac{2}{3}[/tex] = [tex]\frac{5*2}{3}[/tex] = [tex]\frac{10}{3}[/tex]
Find the difference in altitude between a mountain that has an altitude of 2593feet and a desert valley that is 394feet below sea level.
The difference in altitude between a mountain that has an altitude of 2593feet and a desert valley that is 394feet below sea level is
dA=2987feet
What is the difference in altitude?
Generally, the equation for the difference is mathematically given as
dA= mountain altitude - desert valley
Therefore
dA=2593-(-394)
dA=2593+394
dA=2987feet
In conclusion, The height of a mountain that is located at an elevation of 2593 feet compared to the elevation of a valley in the desert that is 394 feet below sea level is the difference in altitude.
dA=2987feet
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Factor: x^2 - 169
please and thank you
Answer:
13,-13 are the factors
The steps are
x²-13²=(x+13)*(x-13)
so the factors are 13,-13
Bella and her friends have a half-day at school, so they plan to spend the afternoon
paddleboarding at Lake Evergreen. They want to spend the rest of the day on the water, but
it starts to rain after paddleboarding for only of an hour! Bella is disappointed when she
of a
realizes the sun doesn't go down for another 4
hours.
Use an equation to find the amount of time Bella planned to spend paddleboarding.
Jen planned to spend 19/4 hours paddleboarding
Bella and her friends spent 3/4 hour at the Lake paddleboarding
Proportions: A proportion is an equation that can be solved and is made up of two ratios that have been set equal to one another.
When I state that a proportion is the product of two ratios that are equal to one another, I mean that two fractions must also be equal to one another.
Also, the sun doesn't go down for another 4 hours
So, 4 + 3/4 = 4.75 hours = 475/100 = 19/4 hours
Hence, Jen planned to spend 19/4 hours paddleboarding
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5. YOU BE THE TEACHER Your friend identifies
the terms and like terms in the expression
3x-5-2x + 9x. Is your friend correct?
Explain your reasoning.
SIMPLIFYING ALGEBRAIC EXPRESSIONS Simplify the
16. 12g + 9g
17. 11x 9-7
O
The correct form of the expression is 5(2x - 2)
How to solve the expression?It should be noted that the expression that is given is illustrated as:
3x-5-2x + 9x.
To solve this, collect the like terms
3x - 2x + 9x - 5
= 10x - 5
= 5(2x - 1)
The correct form of the expression is 5(2x - 1)
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A bank Teller's annual salary will increase by 12% next year to an annual salary of
$48,000. What is the teller's annual salary now?
Answer:
$42,857.14
Step-by-step explanation:
12% = 12/100 = 0.12
If the teller's current salary is D and it increases by 12% in one year, the salary next year would be
X(1+0.12) = 1.12X
We know that salary next year is 48000
Using this fact,
1.12X = 48000
Dividing by 1.12 on both sides,
X = 48000/1.12 = 42,857.14
Can someone please send the answers to these questions with explanation? (Attachment) (30 POINTS)
Answer:
Step-by-step explanation:
a) this graph is that of a parabola that opens up. As is the case for all parabolas, the domain is the set of all real numbers. The range begins with the smallest y-value, which is -4, extending upwards from there: [-4, infinity)
b) this graph's shape most closely resembles that of a polynomial; as we move from left to right, y increases, reaches a local maximum, decreases to a local minimum, and then continues to increase with x. As is the case for all polynomials, the domain is the set of all real numbers. As we move from x = 0 to the left, y decreases without bound; from x ≥ 12 onward, y increases without bound; thus, the range is (-infinity, +infinity).
c) The graph represents a quarter of an ellipse for which x begins at -40 and ends at [4, -16]. Thus, the domain is [-40, 4]. By inspection we see that the smallest y value is -16 and the largest is 4; thus, the range is [-40, 4].
Determine the translation.
The sum of two numbers is 172. The first is 8 less
than 5 times the second. Find the first number.
Answer:
X+Y=172 OE X=172-Y
X=5Y-8
5Y-8=172-Y
5Y+Y=172+8
6Y=180
Y=180/6
Y=30 ANS
X=172-30
X=142 ANS.
Step-by-step explanation:
A road is 8/9 of a mile long. A crew needs to replace 4/5 of the road how long is the section that needs to be repaved
Answer:
4/45
Step-by-step explanation:
8 - 4
9 5
= 8 × 5 - 4 × 9
9 × 5 5 × 9
= 40 - 36
45 45
= 40 – 36
45
= 4
45
8/9 - 4/5
= 4/45
10 QUESTIONS IM ON 3
Answer:
x = 9
m<H = 38 degrees
Step-by-step explanation:
Answer: 9
Step-by-step explanation: sub in 9 for x in 5x-7. we get 38. add 38 and 89 and then subtract that sum from 180, which is 53. now add 53 to 14x+1 and make it equal to 180. To solve for x, subtract 54 from both sides, which gives us 14x=126. Divide both sides by 14 and we get x =9. Now that we know that 9 works for x in both equations, the answer is 9.
what is the step-by-step answer to
-3(X + 2)=-18
Answer:
x = 4Step-by-step explanation:
Simplify both sides of the equation:−3 (x+2) = −18
(−3) (x) + (−3) (2) = −18 (Distribute)
−3x + −6 = −18
−3x −6 = −18
Add 6 to both sides:−3x −6 +6 = −18 + 6
−3x= −12
Divide both sides by -3:−3x/−3 = −12/−3
x = 4
Work out the difference between 88.1 and 2.81
" .
8x + 4 = -28
solve for x
Answer:
x=-4
Step-by-step explanation:
8x+4=-28
8x=-28-4
8x=-32
x=-4
PLEASE HELP ASAP! WILL GIVE BRAINLIEST!
Describe the pattern.
1, 2, 3, 4, 10, 19, 36, 69, 134, 258, 497, ...
Answer: the front of the four numbers is always the total
Step-by-step explanation: like 258 + 134 + 69 + 36= 497
what is the value of arccos(-sqrt3/2)
the answer is 5pi/6
Calculate the distance between the points P= (-7, 8) and J =(-3, 1) in the coordinate plane.
Give an exact answer (not a decimal approximation).
Distance:
The distance between the given points P(-7,8) and J(-3,1) is √65 = 8.06225775
Given that, The points are P=(-7,8) and J = (-3,1).
A coordinate plane is a surface formed by two dimensional lines .
The distance between the points is calculated using the distance formula that is, distance between A(x1,y1) and B(x2,y2) is,
√[(x2-x1)²+(y2-y1)²], by using this formula you can find the distance between any two points on the plane.
Therefore the distance between the given points P and J is ,
PJ = √[(-3+7)²+(1-8)²]
= √[(4)²+(-7)²]
= √[(16) + (49)]
= √[16+49]
= √[65]
= 8.06225775
PJ = 8.06225775
Therefore the distance between the given points P(-7,8) and J(-3,1) is 8.06225775
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Arika and Savroop have 19 ½ cups of flour. They want to make loaves of banana
bread for a bake sale. Arika had a recipe for banana bread that calls for 1 ⅞
cups of flour. Savroop has a recipe that calls for 1 ½ cups of flour. Select all the
statements that are true about the recipes.
O Arika's recipe will make 10 whole loaves of banana bread.
O Savroop's recipe will make 14 whole loaves of banana bread.
O There will be less flour leftover if Savroop's recipe is used.
( There will be less flour leftover if Arika's recipe is used.
D More loaves of bread can be made using Arika's recipe than using Savroop's recipe.
Statements A and C are correct.
Here, we are given that Arika and Savroop have 19 ½ cups of flour. Arika had a recipe for banana bread that calls for 1 ⅞ cups of flour. Savroop has a recipe that calls for 1 ½ cups of flour.
Let us evaluate each option one by one-
A. Arika's recipe will make 10 whole loaves of banana bread.
Arika's recipe requires 1 ⅞ cups of flour = (8 + 7)/8
= 15/8
Total flour they have = 19 ½ = (19 × 2 + 1)/2
= 39/2
Thus, Arika's recipe will make = 39/2 ÷ 15/8
= 39/2 × 8/15
= 13 × 4/ 5
= 52/5
= 10.4
Thus, the given statement is correct.
B. Savroop's recipe requires 1 ½ cups of flour = (2+ 1)/2
= 3/2
Thus, Savroop's recipe will make = 39/2 ÷ 3/2
= 39/2 × 2/3
= 13
Thus, the given statement is incorrect. Savroop's recipe will make only 13 whole loaves.
C. As we can see above, Arika's recipe will make 10.4 loaves and thus 0.4 cups of flour will be left over. Whereas, in case of Savroop, no flour will be left over. Thus, the given statement is true.
D. By the same reasoning given above, the given statement is false as there will be less flour leftover if Savroop's recipe is used.
E. The given statement is again false as Arika's recipe will make only 10 loaves whereas Savroop's recipe will make 13.
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Some friends are going to be driving to a city 900 miles away from home. They are planning to stay the night in a city 420 miles away, then drive the rest of the distance the following day. If they plan to drive on average 60 miles per hour, how long will they be driving the second day?
The total time they will be driving the second day is 8 hours
The total distance they are planning to go = 900 miles
Distance travelled on first day = 420 miles
Distance yet to be travelled on second day = Total distance - distance covered = 900 miles- 420 miles= 480 miles
The speed of the car = 60 miles per hour
60 miles of distance covered in time = 1 hour
1 mile of distance covered in time = 1 hour /60 miles = 1 minute
This is solved using Unitary Method
1 hour = 60 minutes
480 miles can be covered in time = 1 minute × 480 miles
= 480 minute
=8 hours
Hence, The total time they will be driving the second day is 8 hours
Distance and displacement are two quantities that appear to mean the same thing but have very different meanings and definitions. Distance is defined as "how much ground an object has covered during its motion," whereas displacement is defined as "how far out of place an object is."
Distance is defined as an object's total movement without regard for direction. Distance can be defined as how much ground an object has covered regardless of its starting or ending point.
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Before the break at swim-team practice, Nicole swam 1,200 yards. After the break, she swam 1,600 yards. What is the percent of increase in the number of yards Nicole swam? Round to the nearest tenth if necessary.
The percent of the increase in the number of yards Nicole swam will be 33.33%.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol ‘%’ is used to symbolize it.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
Nicole swam 1,200 yards during the swim rookie minicamp before the break. She swam 1,600 yards after the break.
Then the percent of the increase in the number of yards Nicole swam will be
P = [(1600 - 1200) / 1200] x 100
P = (400 / 1200) x 100
P = 0.3333 x 100
P = 33.33%
The percent of the increase in the number of yards Nicole swam will be 33.33%.
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Find the value of f(-2)
Answer:
y= -3 or just -3
Step-by-step explanation:
Write in standard form y=2(x-3)^2+2
The graph shows the relationship between pounds of grapes, g, and their cost, c.
A graph on a coordinate plane shows cost of grapes on the horizontal axis (c), numbered 2 to 6, and pounds of grapes on the vertical axis (g), numbered 1 to 4. Solid circles are at points (0, 0), (2, 1), (4, 2), (6, 3), and are connected by a solid line.
Use the graph to complete the statements.
For every dollar you spend, you can get
pounds of grapes.
For each pound of grapes, you would need $
.
For the two given statements are:
"For every dollar you spend, you can get pounds of grapes."
If one pound costs $2, then for each dollar you will get half a pound.
"For each pound of grapes, you would need"
For each pound of grapes you will need 2 dollars.
How to complete the given statements?
Here we know that the graph shows the relationship between the pounds of grapes (g) and the cost (c). Such that the cost is on the horizontal axis, and the weight on the vertical axis.
We have the points:
(0, 0) For 0 dollars you buy 0 pounds.(2, 1) for 2 dollars you buy one pound.(4, 2) for 4 dollars you buy 2 pounds.(6, 3) for 6 dollars you buy 3 pounds.Then this is a proportional relationship, and we can see that each pound of grapes costs $2
Then the statements are:
1) "For every dollar you spend, you can get pounds of grapes."
If one pound costs $2, then for each dollar you will get half a pound.
2) "For each pound of grapes, you would need"
For each pound of grapes you will need 2 dollars.
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Help with math problems
In the given picture there is a graph and we have to find out is that graph is one to one or not.
It is a one to one graph.
In the graph there is line.
To know is the line is one to one or not we have to check 1st that the line is a function or not.
To check the line is function or not we have to do by vertical line test.
Graphically, the vertical line test is a way to determine if a line is a function or not.
To perform the vertical line test, we pass the vertical lines arrows the graph and if it does not intersect the graph more then one point it passes the vertical line then it can say as a function.
In the given figure1 we can see the vertical lines does not touch the line in the graph more then one point so it is a function.
Now, we know the line is a function so now we have to check if the line is one to one or not.
To check the line is one to one or not we have to do by horizontal line test.
Graphically, the horizontal line test is a way to determine if a line is a one to one or not.
To perform the horizontal line test, we pass the horizontal lines arrows the graph and if it does not intersect the graph more then one point it passes the horizontal line then it can say as a one to one function.
In the given figure2 we can see the horizontal lines does not touch the line in the graph more then one point so it is a one to one function.
Therefore, The graph is a one to one function.
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50,500-35,675 and work for it
Answer: 14,825 is the answer
Step-by-step explanation:
Answer: 14,825
Step-by-step explanation:
its easy.
Please help it’s argent!!
5 employees are working on Saturday and get their base pay $125 per day plus an additional $40. How much will the company pay their employees to work on Saturday?
Answer:
=($25×5)+($125×5)
=$125+$625
=$750
what is it called when you make predictions about data that is not recorded, but falls between the data collected?
when you make predictions about data that is not recorded, but falls between the data collected it is called Predictive analytic.
What is Predictive analytics?Data mining, predictive modeling, and machine learning are only a few of the statistical methods included in predictive analytics, which examine current and past data to anticipate future or otherwise unknowable occurrences.
Predictive models are used in business to detect risks and opportunities by making use of trends observed in historical and transactional data. In order to estimate the risk or potential associated with a certain set of variables and guide decision-making for possible transactions, models contain interactions among many different elements.
When we make a prediction about data is called predictive analytic.
But when it's not recorded it's called extrapolation.
But if it falls between data collected it called Predictive analytic.
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