Which value from the set { -6, -4, -1, 0, 2, 4} satisfy the inequality?
−1/2x + 4 ≥ 6
Answers
Answer:
-4
Step-by-step explanation:
To find the value from the given set that satisfies the inequality, we can substitute each value into the inequality and see which one makes it true.
−1/2x + 4 ≥ 6
Subtracting 4 from both sides:
−1/2x ≥ 2
Multiplying both sides by -2 (and reversing the inequality):
x ≤ -4
Now we can check each value from the set and see which one satisfies the inequality:
-6 ≤ -4 (not true)
-4 ≤ -4 (true)
-1/2 ≤ -4 (not true)
0 ≤ -4 (not true)
2 ≤ -4 (not true)
4 ≤ -4 (not true)
Therefore, the only value that satisfies the inequality is -4.
Related Questions
If x = -3, then which inequality is true?
Answers
Answer:
BStep-by-step explanation:
Not answer choice A because if we plug in x = -3 into -5x +2, the answer is 17. which is NOT ≤ 12
B is correct because if we plug in x = -3 into 3x-7, we get -16 which IS ≥ 16
Not answer choice C because if we plug in x = -3 into 14 +2x, we get 8, which is NOT less than 5
Not answer choice D because if we plug in x = -3 into 1/2x + 6, we get 4.5 which is NOT greater than 11.
i need help with this
Answers
Step-by-step explanation:
See image
Answer:
(a)48 inches, (b)the third quartile, (c) first ---> second quartile
Step-by-step explanation:
(a) because the right whisker reaches to that area.
(b) because the lines are closer together.
(c) because the lines are farther apart.
Help please I don’t know this
Answers
×Answer: 400
Step-by-step explanation: [tex]20×20=400[/tex]
Because 20x20=400
Can you please help with this? Thanks!
A
∠A and
∠
B
∠B are supplementary angles. If
m
∠
A
=
(
x
+
4
)
∘
m∠A=(x+4)
∘
and
m
∠
B
=
(
2
x
−
7
)
∘
m∠B=(2x−7)
∘
, then find the measure of
∠
A
∠A.
Answers
Answer:
Step-by-step explanation:
so its 23 cause .
that means we should set up the equation like this:
(x+4)+(2x-7)=180
solve by adding like terms
3x-3=180
add
3x=183
divide
x=61
we can check this answer by plugging the number back in.
(61+4)+(2(61)-7)=180
(65)+(115)=180
therefore angle A would equal 65 degrees.
Help please I will make you the brainliest and show your WORk pls
Answers
Answer:
Equation: x=45,000 ÷ 3
Answer: 15,000
Step-by-step explanation:
We know that 2/3 of the pens produced in the factory are black. That means that 1/3 of the pens produced in the factory are blue.
If 45,000 pens are produced, then 1/3 of 45,000 will give us the number of blue pens, or x. Now with our equation, we can start solving.
x = 45,000(1/3) is the same thing as x = 45,000 ÷ 3.
45 ÷ 3 is 15. Now we can just add the zeros back in.
x=15000
Therefore, the number of blue pens, or x, is 15,000.
All the best on your homework!
Find the approximate radius of a circle with a circumference of 2 kilometers. Use 3.14 for π. Round to the nearest hundredth if necessary.
Answers
Answer:
0.32 (rounded to the nearest hundredth)
Step-by-step explanation:
If you have any questions ask me please! :)
Answer:
0.32 km
Step-by-step explanation:
Using the formula r = c / (2 * π), where c = 2 kilometers and π = 3.14, we can calculate the radius as:
r = 2 km / (2 * 3.14)
r = 2 km / 6.28
r = 0.31847133758 km
Rounding this to the nearest hundredth gives:r ≈ 0.32 km
Therefore, the approximate radius of the circle is 0.32 kilometers.
What is area of the composite shape? ___ sq. ft
Use 3.14 for "pi" and round to the nearest hundredths place.
Answers
Answer:
236.63
Step-by-step explanation:
236.63 sq
A study showed that 75% of people who joined a gym did so
in January. Which value is equivalent to 75%?
A) 3/4
B) 75
C) 1/4
D) 7.5
Answers
Answer: A 3/4
Step-by-step explanation: this is one of those fractions you need to memorize so if it helps think of it like quarters 1/4=25% 2/4=50% 3/4=75% 4/4=100% or divide 3/4=0.75 and 0.75 as a percent is 75% same rule applies to all fractions
Answer:
A
Step-by-step explanation:
75 percent in decimal form would be 0.75
3/4 = 0.75
so they share the same value
Rebecca is cutting three different board length for a building project. the original boards measure 16 feet in length. How many pieces will Rebecca be able to cut in the various lengths below?
Building project.
2 1/2 feet long - garden fence
1 1/2 feet long - fireplace
2/3 feet long - window frame
Answers
Answer:
Step-by-step explanation:
i think its 2/3
Triangle ABC ~ triangle DEF. Use the image to answer the question.
a triangle ABC with side AB labeled 11, side CA labeled 7.6 and side BC labeled 7.9 and a second triangle DEF with side DE labeled 2.2
Determine the measurement of EF.
EF = 1.58
EF = 1.52
EF = 1.1
EF = 5.5
Answers
Answer:
EF = 1.58
Step-by-step explanation:
Since DE is provided (2.2), we use that in order to find EF.
First, divide the length of AB by the length of DE.
11 ÷ 2.2 = 5
So we use 5 to figure out the measurement for EF.
BC = EF, so we divide BC by 5 to get EF.
7.9 ÷ 5 = 1.58
therefore EF = 1.58
Answer:
EF is equal to 1.58
Take 11 and divide it by 2.2 to get 5, then divide 7.9(BC) and 5 which is 1.58(EF)
Also I got this right on the test, hope it helps <3
Which measure of central tendency BEST represents the data shown in the distribution?
A.) median
B.) all three
C.) mean
D.) mode
Answers
Answer:
D.) Mode
Step-by-step explanation:
It best represents the data as it has the highest value in the distribution. All other measures of central tendency have lower values in the data.
Sorry if Im wrong
Jim bought 5 packs of red bouncy balls, 2 packs of yellow bouncy balls, and 7 packs of green bouncy balls. There were 7 bouncy balls in each package. How many bouncy balls did Jim buy in all?
Answers
Answer:
108 bouncy balls
Step-by-step explanation:
2*7=14
5*7=35
7*7=49
14+35+49+108
Mr. Walker brought 100 cookies for two classes at school one class had 28 students, and the other had 27 students plus their two teachers. he also left 10 for the office staff and 5 for the custodians. How many cookies did he have leftover?
Answers
Answer:
Mr. Walker gave out a total of 28 + 27 + 2 = 57 cookies to the two classes and left 10 + 5 = 15 cookies for the office staff and custodians.
Therefore, the number of cookies left over is:
100 - 57 - 15 = 28 cookies
Mr. Walker had 28 cookies left over.
Step-by-step explanation:
Answer: 28 cookies
Step-by-step explanation:
We have to add up the number of cookies distributed and subtract it from the total amount of cookies he brought in order to find out how many cookies he has left over.
----------------------------------------------------------------------------------------------------------
First classFor the first class with 28 students, Mr. Walker distributed 28 cookies.
----------------------------------------------------------------------------------------------------------
Second ClassThere are 29 people in the second class, which has 27 students and 2 teachers.
Mr. Walker then gave out 29 cookies.
----------------------------------------------------------------------------------------------------------
Office Staff and CustodiansMr. Walker left 10 for the office staff, 5 for the custodians, which is a total of 10 + 5 = 15.
So, Mr. Walker distributed 15 cookies.
----------------------------------------------------------------------------------------------------------
Finding the answerWe add up the number of cookies distributed to figure out how many cookies he had leftover:
28 + 29 + 15 = 72.
This gets subtracted from the total number of cookies brought by him:
100 - 72 = 28.
----------------------------------------------------------------------------------------------------------
AnswerTherefore, after giving cookies to the two classes, the office staff, and the custodians, Mr. Walker had 28 cookies left over.
please help
What is area of the composite shape? ___ sq. cm
Answers
Answer:
132 cm^2
Step-by-step explanation:
7x4=28
((7+19)/2)8 = 104
104+28= 132
Mm what about this one? Help please ♡☆ ty ty!♡
Answers
Answer:
54
Step-by-step explanation:
[tex] < 2 = 180 - 109 \\ = 71 \\ < 1 = 180 - 71 - 55 \\ = 54[/tex]
The measure of ∠1 is 54 degrees by angle sum property
We have to find measure of angle 2 before finding angle 1 ∠1
∠2 + 109 = 180
Subtract 109 from both sides
∠2 = 180-109
∠2 =71 degrees
From angle sum property theorem we know that in any triangle the sum of angles is 180 degrees
∠1 + 71 +55 = 180
∠1 + 126 =180
Subtract 126 from both sides
∠1 = 180-126
One hundred eighty minus one hundred twenty six is equal to fifty four degrees
∠1 = 54 degrees
Hence, the measure of ∠1 is 54 degrees by angle sum property
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please help quickly! thank u so much god bless
Answers
A C D E
Just count the units from wherever it stays to.
Answer:
A
D
C
E
Step-by-step explanation:
If you have any questions please ask me! :)
The owner of a tea shop is making a blend of two teas. Tea A costs $5.40 per pound. Tea B costs $6.80 per pound. The owner wants to make 8 pounds of the blend and wants to sell it for $5.75 per pound. How much of each tea should he use?
Answers
12 pounds of tea-1 and 8 pounds of tea-2 should be used.
Step-by-step explanation:
Let the mass of the tea-1 be x and tea-2 be y.
Total mass of mixture tea owner wants to make = 20
pounds
x+y = 20 ... [1]
Cost of 1 pound of tea-1 = $6.50
Cost of 1 pound of tea-2 = $4.00
Cost of the 1 pounds mixture = $5.50
₴ × $6.50 + y × $4.00 = 20 × $5.50
6.5× + 4.00y = 110... [2]
Solving equation [1] and [2] by substitution method, putting value of × from [1] in [2].
X=20 - y
6.5(20 - y) + 4.00y = 110
130 - 6.50y + 4.00y = 110
-2.5 y=-20
y = 8
×=20-y = 20-8 = 12
12 pounds of tea-1 and 8 pounds of tea-2 should be used.
I REALLY HOPE THIS HELPS
Brandon and Taylor each start a number pattern with the number 3. Brandon will add 5 to get the next number in his pattern. Taylor will multiply by 2 to get the next number in her pattern.
Which statement is true?
a. The 2nd number in Brandon's pattern is smaller than the 2nd number in Taylor's pattern.
b. The 4th number in Brandon's pattern is bigger than the 4th number in Taylor's pattern.
c. The 5th number in Brandon's pattern is less than half the size of the 5th number in Taylor's pattern.
d.Both patterns have the same 3rd number.
Answers
[QUICK!! ANSWER THESE TWO QUESTIONS PLEASE,, THOSE WHO answer THESE QUESTIONS WILL RECIEVE 20 points!! ]
Answers
Answer:
7 juniors and 2 coins
Step-by-step explanation:
25% is equal to 25/100 which is 1/4. To find 1/4 of 28 it would be 28/4 which is 7. There are 7 juniors in the program.
5-cent: x
10-cent: y
25-cent: z
5x+10y+25z=320 which is also x+2y=5z=64. You can subsitute y for x+3 because he has 3 more 10-cent than 5-cent. x+x+3+z=23 which is 2x+z=20=z=20-2x.
Substitute
x+2(x+3)+5(20-2x)=64
x+2x+6+100-10x=64
7x=106-64
7x=42
x=6, z=20-2*6=8, z-x=8-6=2
Translate the sentence into an equation.
Four more than the quotient of a number and 5 is 9.
Use the variable b for the unknown number.
Answers
I think its this :)
Answer: 4+5b=9
PLEASE IS MATH 8 th GRADE
Answers
270
Explanation:
The formula to find the lateral surface area of a triangular prism is (a+b+c)h.
First plug in the numbers:
(6+6+6)15
Simplify:
(18)15
Simplify:
270
Hope this helps!
PLEASE HELP ILL MARK U AS BRAINLIEST!!
Answers
Answer:
Triangle JKL has greater area. The area of triangle JKL is 32 in^2 and area of triangle XYZ is 24 in^2.
Step-by-step explanation:
Area of triangle = 1/2*base*height
For triangle JKL,
Area = 1/2 * 8 * 8 = 32 in^2
For triangle XYZ,
Area = 1/2* 4 * 12 = 24 in^2
Thus, Area of XYZ < Area of JKL
Nick had 29 toy cars. Then he bought 16 cars from the toy store and got 30 cars for his birthday. Nick gave 9 of the toy cars to his sister and 29 to his friend Jordan. How many toy cars does Nick have left?
Answers
Answer: 37 cars
Step-by-step explanation:
29 + 16= 45
45 + 30 = 75
75 - 38 = 37
if anyone could answer these questions i will MARK BRAINLIEST!!!!
Answers
Answer:
The number of fruit bars that people got free at the Beachfront store is 700.
The people in Minnesota and Ohio are 8/10 of the total salespeople. The people in Minnesota are 3/10 of the total salespeople.
Step-by-step explanation:
For the problem about free fruit bars:
The pattern is that 2/3 of the bars that were bought will be free.
To find 2/3, we will first do 1050 ÷ 3 to get 350.
Then we multiply by 2 to get 700.
Therefore, the number of fruit bars that people got free at the Beachfront store is 700.
For the problem about the salespeople:
Counting from the picture, there are 10 total parts. To figure out if a statement is true, confirm with the graph.
ex: Figure out if the statement "the people in Minnesota and Ohio are 8/10 of the total salespeople" is true.
Ohio has 5 parts in the graph. Minnesota has 3 parts in the graph. 5+3=8. Now we put this over 10, the total parts. So, the statement is true.
I need help ASP!!! LAST QUESTION!!!
Answers
Explanation: 4/8 + 3/8 = 7/16
Please help me ASAP!!♡ tysm♡ <3
Answers
Answer:
∡4 = 146°
Step-by-step explanation:
First, we need to find the value of ∡2, and keep in mind that the sum of all the angles in a triangle is = 180°.
Since the triangle is a right angle, we know that the angle to the bottom right = 90°. The other angle is 56°.
Since there are only 3 angles, let's add 56° and 90° to find ∡2.
56 + 90 = 146
180 - 146 = 34°
∡2 = 34°.
Now that we've found ∡2, we need to find out what type of angles ∡4 and ∡2 are.
They are supplementary angles, since they add up to 180°.
Let's subtract 180 - 34 to give us the value of ∡4
180 - 34 = 146
Therefore ∡4 = 146°
sorry if Im wrong
Answer:
∡4 = 146°
Step-by-step explanation:
If you borrow $600 for 2 years at an annual interest rate of 7%, how much will you pay altogether?
Answers
Which situation is best represented by the following equation
68.50x + 127.95 = 675.95
Answers
Answer: Option B
Step-by-step explanation:
Considering Option A
we can infer that the office manager paid a total of $675.95
the cost of the software package is $68.50
while an employee is paid $127.95 every hour she works on the website
So, the equation for this situation goes like this: 68.50 + 127.95x = 675.95
Coming to Option B
we can infer that the office manager paid a total of $675.95
the cost of one monitor is $127.95
while the hard drives are for $68.50 each
So, the equation for this situation goes like this: 68.50x + 127.95 = 675.95
Hence Option B is the correct answer
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Identify the relationship in the figure. Select all that apply.
A) Complementary angles
B) Supplementary angles
C) Adjacent angles
Answers
Cause that’s the only one that opens the arrow angles that big to and 180 degree angle
Answer:
B is the answer!
Step-by-step explanation:
If you have any questions please ask me! :)
What is the equation for the line of reflection? On a coordinate plane, image A B C D has points (2, 2), (7, 3), (5, 1), (4, 1). Image A prime B prime C prime D prime has points (10, 2), (5, 3), (7, 1), (8, 1). x = 6 y = 6 y = x y = 2 Mark this and return
Answers
The equation of the line of reflection should be .
Given information:
Triangle ABC has points (6, 3.7), (5.4, 2), (1, 3). Triangle A' B'C' has points (3.7, 6), (2, 5.4), (3, 1).
A'B'C' is the reflection of the triangle ABC.
It is required to find the equation of the line of reflection.
Now, from the given coordinates of triangle ABC and its reflection, it is clear that the x and y-coordinates have interchanged their values. For example, coordinate (6,3.7) has become (3.7,6).
Therefore, the equation of the line of reflection should be .
The midpoint between (2, 2) and (10, 2) is ((2 + 10) / 2, (2 + 2) / 2), which simplifies to (6, 2). The midpoint between (7, 3) and (5, 3) is ((7 + 5) / 2, (3 + 3) / 2), which simplifies to (6, 3). The midpoint between (5, 1) and (7, 1) is ((5 + 7) / 2, (1 + 1) / 2), which simplifies to (6, 1). Finally, the midpoint between (4, 1) and (8, 1) is ((4 + 8) / 2, (1 + 1) / 2), which simplifies to (6, 1).
The line of reflection is the line that passes through each pair of midpoints. Since all four midpoints have the same x-coordinate of 6, the line of reflection is a vertical line passing through x = 6.
Therefore, the equation for the line of reflection is:
x = 6