drag the tiles to the correct boxes to complete the pairs. Solve the inequalities for x, and match each solution to its number graph.
Answers
Inequalities are used to represent unequal expressions.
The inequalities are given as:
[tex]x - 99 \le -104[/tex]
[tex]x - 51 \le -43[/tex]
[tex]150 + x \le 144[/tex]
[tex]75 < 69 - x[/tex]
Start by solving for x in all the inequalities
[tex]x - 99 \le -104[/tex]
Make x the subject: Add 99 to both sides
[tex]x \le 99 - 104[/tex]
[tex]x \le -5[/tex]
[tex]x - 51 \le -43[/tex]
Make x the subject: Add 51 to both sides
[tex]x \le 51 - 43[/tex]
[tex]x \le 8[/tex]
[tex]150 + x \le 144[/tex]
Make x the subject: Subtract 150 from both sides
[tex]x \le 144 - 150[/tex]
[tex]x \le -6[/tex]
[tex]75 < 69 - x[/tex]
Make x the subject: Add x to both sides, and subtract 75 from both sides
[tex]x < 69 - 75[/tex]
[tex]x < -6[/tex]
Hence, the solutions to the inequalities are: [tex]x \le -5[/tex], [tex]x \le 8[/tex], [tex]x \le -6[/tex] and [tex]x < -6[/tex]
See attachment for the number graphs
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Related Questions
Which integer in the set has the smallest value (-17, -7, -12, 2)? A. 2 B. -7 C. -12 D. -17
Answers
The smallest integer from the given set {-17, -7, -12, 2} is -17, making option D the right choice.
An integer is a whole number that can be positive, negative, or zero and is not a fraction.
The integer values are in the following order: negative, zero, then positive.
The real value of a negative integer decrease as the number increases.
For positive integers, the real value increases as the number increases.
In the question, we have been asked for the integer with the smallest value in the set {-17, -7, -12, 2}.
As discussed above, we know the order for negative and positive integers.
Thus, arranging the set in ascending order, we get:
-17 < -12 < -7 < 2.
Thus, the smallest integer from the given set {-17, -7, -12, 2} is -17. Hence, option D is the right choice.
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Consider the graph.
Which function best represents the distance remaining, in miles, after
x
minutes?
f
(
x
)
=
10
7
x
+
35
f ( x ) = 10 7 x + 35
f
(
x
)
=
7
10
x
+
35
f ( x ) = 7 10 x + 35
f
(
x
)
=
−
7
10
x
+
35
f ( x ) = − − 7 10 x + 35
f
(
x
)
=
−
10
7
x
+
35
f ( x ) = − − 10 7 x + 35
Answers
Answer:
X=5
The factors of x^2 + 2x - 35 are
(X-5) (x+7)
Set x equal to zero & solve
X-5=0
X=5
Step-by-step explanation:
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answers
Answer:
Screenshot
Step-by-step explanation:
Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
What are Similar Triangles?Similar triangles have corresponding side lengths that are proportional in length.Similar triangles have same shape but are of different sizes.Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
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Which variable expression represents the following word phrases?
6 more than four times a number
A: 4n-6
B: 6-4n
C: 6+4n
D: 6>4n
Answers
Answer:
6+4n
Step-by-step explanation:
Rosena bought an 8 pack of donuts. The donuts cost $28.00 all together. What is the unit rate for the donuts in dollars?
Answers
Answer:
$3.50
Step-by-step explanation:
I hope this helps!
Answer:
$3.50 per Donut
Step-by-step explanation:
Well if the total cost is $28.00 and there were eight donuts, then out equation would be 8 x ____=28
So, 28/8=3.5
The history museum charges a $30 fee plus $12 per student for a field trip.
The aquarium charges a $40 fee plus $10 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Field Trip Costs
y = 40 + 10x
Cost ($)
120
140
100
90
80
70
60
50
40
30
20
10
y = 30 + 12x
1 2 3 4 5 6 7 8 9 10 11 12
Number of students
Answers
Answer:
5 students; $90
Step-by-step explanation:
A-P-E-X
Two vehicles are moving, one with the velocity of 20 m/s towards east and another with 10 m/s towards west. Calculate the distance between them after 20 minutes they are started from the same place and the same time.
Answers
Answer:
12 km
Step-by-step explanation:
20 minutes = 20 * 60 = 1200 second
distance = velocity * time
car 1 = 1200 * 20 = 24000 m = 24km
car 2= 1200 * 10 = 12000 m = 12km
so distance between them after 20 minutes is 24 -12 = 12 km
Question is in picture please help will mark brainliest
Answers
Answer:
4+2(n-1)+5(n-1)
Step-by-step explanation:
We know the pattern always has a +5 to the previous term then plus the lowest unrepeatded even number, such as +0, +2, +4, +6, and so on. The next erm will be 36+5+8, which is 49. The nth then will be the first term+2(n-1)+5(n-1).
That will result in
4+2(n-1)+5(n-1)
Please give brainliest! Thank you!
Which of the following best explains why tangent StartFraction 5 pi Over 6 EndFraction not-equals tangent StartFraction 5 pi Over 3 EndFraction? The angles do not have the same reference angle. Tangent is positive in the second quadrant and negative in the fourth quadrant. Tangent is negative in the second quadrant and positive in the fourth quadrant. The angles do not have the same reference angle or the same sign.
Answers
Using reference angles, it is found that the correct option is:
The angles do not have the same reference angle.Angle [tex]\frac{5\pi}{6}[/tex] is on the second quadrant, [tex]\frac{\pi}{2} < \frac{5\pi}{6} < \pi[/tex].
On the second quadrant, the tangent is negative, as the sine is positive and the cosine is negative.The reference angle is found subtracting [tex]\pi[/tex] from the angle, hence:[tex]\pi - \frac{5\pi}{6} = \frac{6\pi}{6} - \frac{5\pi}{6} = \frac{\pi}{6}[/tex]
Angle [tex]\frac{5\pi}{3}[/tex] is on the fourth quadrant, [tex]\frac{3\pi}{2} < \frac{5\pi}{3} < 2\pi[/tex].
On the second quadrant, the tangent is negative, as the sine is negative and the cosine is positive.The reference angle is found subtracting [tex]2\pi[/tex] from the angle, hence:[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]
They have different reference angles, hence:
The angles do not have the same reference angle.For more on angles, you can check https://brainly.com/question/24787111
Answer:
A
Step-by-step explanation:
A
The arcs in the photo at the right appear to
be paths of stars rotating about the North Star, To produce this effect, the
photographer set a camera on a tripod and left the shutter open for an
extended time. If the photographer left the shutter open for a full 24 hours,
each are would be a complete circle. You can model a star's rotation" in the
coordinate plane. Place the North Star at the origin. Let P(1, 0) be the position
of the star at the moment the camera's shutter opens. Suppose the shutter is
left open for 2 h 40 min, with the arc ending at P. a. What angle of rotation
maps Ponto P? b. What are the x and y coordinates of P to the nearest
thousandth? c. What translation rule maps P onto P?
Answers
Answer:
a. What angle of rotation maps Ponto P?
30.25 degrees
b. What are the x and y coordinates of P to the nearest thousandth?
(83.3, 33.3)
c. What translation rule maps P onto P?
Rotation
x/4-6=10 PLEASE HELP I NEED HELP ASAP
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf \dfrac{x}{4} - 6 = 10[/tex][tex] \sf \dfrac{x}{4} = 10 + 6[/tex][tex] \sf \dfrac{x}{4} = 16[/tex][tex] \sf x = 16 \times 4[/tex][tex] \sf x = 64[/tex]Value of x is 64
Ok done. Thank to me :>
3 kg of carrots cost £1.80
2 kg of carrots and 5 kg of potatoes cost a total of £3.45
Work out the total cost of 4kg of carrots and 2 kg of potatoes.
You must show all your working.
Answers
Step-by-step explanation:
Price of 3 kg carrots = 1.80
Price of 1 kg carrots = 1.80 ÷ 3 = 0.6
Price of 2 kg carrots = 0.6 x 2 = 1.2
Remaining amount = 3.45 - 1.2 = 2.25
Price of 5 kg potatoes = 2.25
Price of 1kg potatoes = 2.25 ÷ 5 = 0.45
Now
Cost of 4 kg of carrots = 0.6 x 4 = €2.4
Cost of 2 kg of potatoes = 0.45 x 2 = €0.9
The total cost of 4kg of carrots and 2 kg of potatoes is £3.30
What is the total cost?Total cost is the product of the cost of each unit and the number of units purchased.
As it is given that the cost of 3 kg carrot is £1.80, therefore, the cost of 1 kg of carrot can be written as,
[tex]\text{Cost of 1 kg carrot}=\dfrac{\text{Total cost of carrot}}{\text{Total amount of carrot}}[/tex]
[tex]=\dfrac{\£1.80}{3}\\\\= \£0.60[/tex]
Thus, the cost of 1 kg carrot is £0.60.
Now., as it is given that the cost of 2 kg carrot and 5 kg potatoes is £3.45, therefore, the cost of 5 kg potatoes can be written as,
[tex]\text{Total cost}=\text{Cost of 2 kg carrot}+\text{Cost of 5 kg potatoes}[/tex]
[tex]3.45= (0.60 \times 2) + \text{Cost of 5 kg Potatoes}\\\\\text{Cost of 5 kg Potatoes} = 2.25[/tex]
Further, the cost of each kg of potatoes can be written as,
[tex]\text{Cost of 1kg of potatoes}=\dfrac{\text{Cost of 5 kg Potatoes}}{\text{Total amount of potatoes}}[/tex]
[tex]=\dfrac{2.25}{5}\\\\=0.45[/tex]
Thus, the cost of each kg of potatoes is £0.45.
Further, the total cost of 4kg of carrots and 2 kg of potatoes can be written as,
[tex]\text{Total cost }=\text{Cost of 4kg of carrots} +\text{Cost of 2 kg of potatoes} \\\\\text{Total cost }=(4 \times 0.60)+(2\times 0.45)\\\\\text{Total cost }= 2.24+0.90=\£3.3[/tex]
Hence, the total cost of 4kg of carrots and 2 kg of potatoes is £3.30
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The expression 2,500(1.095)x represents the value of an investment after x years. What is the meaning of the 2,500?
Answers
Answer:
The value of the investment
Step-by-step explanation:
4(d-5)-6=2(8-d)-d what is d
Answers
Answer:
d = 6
Step-by-step explanation:
sorry for late awenser
The value of the equation is d = 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
4 ( d - 5 ) - 6 = 2 ( 8 - d ) - d be equation (1)
On simplifying the equation , we get
4d - 20 - 6 = 16 - 2d - d
On further simplification , we get
4d - 26 = 16 - 3d
Adding 3d on both sides of the equation , we get
7d - 26 = 16
Adding 26 on both sides of the equation , we get
7d = 42
Divide by 7 on both sides of the equation , we get
d = 6
Therefore , the value of d is 6
Hence , the equation is d = 6
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Find the 60th term of the following sequence.
4, 8, 12,
Answers
Answer:
240
Step-by-step explanation:
Can someone please solve these 3 I DIDNT solve
Answers
Answer:
7: (3,9) 8:(-2,1) 6: (2,10)
Step-by-step explanation:
7) 2x+3=-2x+15
x=3
y=2(3)+3
y=6+3
y=9
8)x= -1(1+2y)/3
-4-2y=-6
y=1
x=-2(1+2(1))/3
x=-2
6)2x-16=-12
x=2
y=2+8
y=10
Convert 30,000 ML into L
Answers
Answer:
30 liters
Step-by-step explanation:
To me it's kind of like multiplying and dividing.
So, what I did was 30,000 divided by 30 and got 1,000.
1,000 x 30 = 30,000.
That's what I did. You probably have your own way of doing it, but the answer is 30. I'm sorry if my explanation isn't good enough but I tried. Thanks for the question and enjoy your answer :)
HELP!!!
7 + y = ‐2
Please solve this WITH your math please don't just post the answer! Whoever does this first will get brainliest!
Answers
Answer:
y=-9
Step-by-step explanation:
7+y=-2
subtract 7 on both sides
Answer:
y= -9
Step-by-step explanation:
This is a one-variable equation.
7+y= -2
We can subtract 7 from both sides to isolate y
7 + y - 7= -2 - 7
After simplifying, we get
y= -9
An album which originally cost p 900, mark up with 30%. What is the selling price? A. p 970.00 B. p 1070.00 C. p 1170.00 D.p 1270.00
Answers
The markup percentage specifies the amount by which the selling price is
raised above the cost price.
The correct option for the selling price is B. p 1,070.00Reasons:
The original cost of the album = p900
The mark up percentage = 30%
Required:
The selling price
Solution:
The percentage mark up is given by the difference between the price at
which an item is for sale and its cost expressed as a percentage.
[tex]\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}[/tex]
Therefore, we have;
[tex]\displaystyle 30 = \frac{Selling \ price - 900 }{900} \times 100[/tex]
[tex]\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}[/tex]
900 × 0.3 = Selling price - 900
270 = Selling price - 900
Selling price = 900 + 270 = 1,070
The selling price is B. p 1,070.00
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Find the future value of an annuity due of $7,000 paid at the beginning of each 6-month period for 8 years if the interest rate is 8%, compounded semiannually. (Round your answer to the nearest cent.)
Answers
Answer: Im not sure but i think its 120,960
Step-by-step explanation: i know that there is 2 of the 6-month periods in a year and multiplied that by 8 and got 16. Then i did 7000x.08=560 and then i added that to 7000 and got 7560. FInally i multiplied that by 16 and got 120,960.
Would the point (4, -2) fall on the graph of y = -0.5x?
No
Yes
Answers
Functions can be represented on graphs and vice versa.
It is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex] i.e. the statement is Yes
The function of the graph is given as:
[tex]y = -0.5x[/tex]
To determine if the point (4,-2) will fall on the graph, we simply substitute 4 for x in the given function.
[tex]y = -0.5\times 4[/tex]
[tex]y = -2[/tex]
The y value for (4,-2) is -2, and the calculated y value for [tex]y = -0.5x[/tex] when x = 4 is -2.
Hence, it is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex]
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I NEED ANSWER NOW PLEASE ITS DUE IN 3 MINS
Answers
Answer:
C
Step-by-step explanation:
add top half of fractions and only if there are common denominators
Answer:
C) 1/7+1/7+1/7
Step-by-step explanation:
Make sure the denominator matches that of the answer, so since 3/7, 7 is the denominator, only b and c have 7 as a denominator. Second, all the denominators have to be equal in order for you to add the numerators. Since all denominators in C are 7, you can do 1+1+1 which equals to 3.
A cable company has a one time installation fee and then a monthly charge to use their service. The total cost of modeled by the function y=130x+119. Which statement represents the meaning of each part of the function?
Answers
Answer:
130=monthly charge
119=one time installation fee
Step-by-step explanation:
119 is the y-intercept and in problems like these, it is always the one time fee. 130 is the monthly payment because it has an x, which could account for the number of months. For example , say six months passed, you could multiply 130 * 6 to get the monthly fee for six months. I hope that makes sense!
3. Gracie graphed the line 3x – 4y = -16. Which
ordered pair is in the solution set of 3x – 4y = -16?
19
A.(-2,3)
C. (2,7)
B.(-8,0)
D. (0,-1)
Answers
We want to see which ordered pair is a solution for the given line. We will see that none of the points is a solution for the given equation.
So, if you have a graph this is rater easy.
In a point (x, y) the first value represents the horizontal displacement and the second represents the vertical displacement.
So, to see if the points are solutions of the line, you just need to see if the point lies on the graphed line.
Below you can see the graph, there you also can see all the given points.
There you can see that none of the given points lie on the line, so none of these is in the solution set of the line (you can also check this by evaluating the equation in the given points).
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The weight of each fountain pen manufactured in a factory must be 10g with a tolerance of 2g. Pens that are not within the tolerated weight must be thrown away. Write an inequality that can be used to assess which pens are tolerable (w is the weight of the pen)?
Answers
According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:
[tex]|w - 10| \leq 2[/tex]
The absolute value function measures the distance of a point to the origin, and is defined by:
[tex]|x| = x, x \geq 0[/tex][tex]|x| = -x, x < 0[/tex]The weight must be of 10g, with a tolerance of 2g, which means that the absolute value of the difference between the weight w and 10g must be of at most 2g, hence the inequality is:
[tex]|w - 10| \leq 2[/tex]
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The ratio of girls to boys in a class is 6 to 8. If there are 27 girls in the class, how many boys are there?
x = 36 boys
x = 40 boys
x = 32 boys
x = 46 boys
Answers
Answer:
36
Step-by-step explanation:
6:8
27/6 = 4.5
8 · 4.5 = 36
To become a member of the book-of-the-month club there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation.
Answers
Answer:
y = 2x + 40
Step-by-step explanation:
slope-intercept formula: y = mx + b
x = number of months
y = total cost
slope is 2 and y-intercept is 40
A student says that the solution of 375 = x – 28 is 347. Explain the student’s error and find the correct answer
Answers
Answer:
x = 403
Step-by-step explanation:
We can start off by rewriting the equation as
x - 28 = 375
Next, we can further restate it as
375 + 28 = x
So, all we need to do to find the value of x is add 375 + 28, which is 403
Student Error
The student made the error of rewriting the equation incorrectly.
He/She/They subtracted 28 from 375 instead of adding.
Thus, they got 347
which expression is equivalent to 4√8/3√2
Answers
Answer:
8/3
Step-by-step explanation:
The square root of 8 can actually be written [tex]2\sqrt2[/tex], so [tex]4\sqrt2 = 4 \cdot 2\sqrt2 = 8\sqrt2[/tex]
Now, we are looking for [tex]\frac{8\sqrt2}{3\sqrt2}[/tex]. Both the square root of 2s cancel, so we are left with 8/3
Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.
Answers
Answer: Adelita
Step-by-step explanation:
because if its going in order of the names by jobs then its adelita
