Answer:
15 units
Step-by-step explanation:
15.0
Evaluate -6y - 5 for y = 1/2
Answer:
15
Step-by-step explanation:
-6y-5
Substitute 1/2 for y.
-6y-5
-6(1/2)-5
-3(-5)
15
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.
x < 5
–6x – 5 < 10 – x
–6x + 15 < 10 – 5x
A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right.
A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
The correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options
Solving inequalityFrom the question, we are to solve the inequality
The given inequality is
–3(2x – 5) < 5(2 – x)
First, clear the brackets
–6x + 15 < 10 – 5x
NOTE: This is one of the correct representations of the inequality
Collect like terms
-6x + 5x < 10 - 15
-x < -5
Divide both sides by -1 and flip the sign
x > 5
Representing this on a number line, we get a number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right.
Hence, the correct representations of the given inequality are
–6x + 15 < 10 – 5x
and
A number line with an open circle at 5 and a bold line that starts at 5 and is pointing to the right. The correct options are the third and fourth options
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Simplify the expression |1/12 - 5/6| - (2/5 + 1/10)
Answer:
x+2
Step-by-step explanation:
x^2+x-7 = x+2
Answer:
The answer is 1/4!!
<3 love
[100 POINTS] What is the measure of the arc from A to B that does not pass through C?
(Fill in the blanks)
Answer:
the answer to the questions is 140
Central angle
2(40)=80°So measure of arc BC is 80°
Use inscribed angle theorem
The measure of arc from A to B that doesn't pass through C is
180-mBC180-80100°Find the area of this rectangle.
11M 9M
Answer: 99M
Step-by-step explanation:
Rectangle area
A=LW
A = 11 x 9
A = 99
Mark as brainliest please TT. Thank you :D
Answer:
99 m
Step-by-step explanation:
width times length = area
11 ×9= 99m
Please answer !!!!!!!
The measure of all the angles is given below:
angle 1= 30
angle 2= 150
angle 3= 30
angle 4= 150
angle 5= 30
angle 6= 150
angle 7= 30
angle 8= 73.5
What is angle?
An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.
As,
angle 1= 30 (Vertically opposite angle)
angle 7= 30 (corresponding angle)
angle 4+30= 180 (linear pair)
angle 4= 150
angle 4= angle 2= 150 (Vertically opposite angle)
angle 2= angle 6= 150 (corresponding angle)
angle 1= angle 5= 30 (corresponding angle)
angle (2x+3)= angle 4 (corresponding angle)
2x+3= 150
x= 73.5
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Can someone please answer this math?
The volume of the cylinder will be 621.72m³.
How to calculate the volume?Thw volume of a cylinder will be:
= πr²h
= 3.14 × 3² × 22
= 621.72 m³
The volume of the cone will be:
= 1/3πr²h
= 1/3 × 3.14 × 2² × 12
= 25.12m³
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the table below shows the cost of downloading songs from an online music store.
Answer:
I believe it's c because Greg downloaded 5 song which is 6.45 total then bought certain song at sale price Wich ended at 9.42
Can someone please help me? I put the answer at 47.1 but it says it's wrong.
Answer:
47.14 cm
Step-by-step explanation:
Circumference :
π x diameterπ x 1515π15 x 22/7330/747.14 cm (approximately)What are the roots of the equation 9x^2-6x+2=0 in simplest a+bi form?
Answer:
Step-by-step explanation:
Please!!! Help!!! Brainliest of Right! it goes as 50 point in the end but i used 100 point if you help me i will help you!!
Answer:
2. 3.913 kg (3 dp)
3. light cream
4. 240 CoffeeStops
5. 7 CoffeeStops per square mile
6. 2,861 cups of coffee each day
Step-by-step explanation:
Given:
Skim milk density at 20 °C = 1.033 kg/lLight cream density at 20 °C = 1.012 kg/l1 liter = 0.264 gallonsQuestion 2
[tex]\begin{aligned}\textsf{1 gallon} & = \sf \dfrac{1}{0.264}\:liters\\\\\implies \textsf{Mass (1 gallon of skim milk)} & = \sf Density \times Volume\\& = \sf 1.033\:kg/l \times \dfrac{1}{0.264}\:l\\& = \sf 3.913\:kg\:(3\:dp)\end{aligned}[/tex]
Therefore, the mass of 1 gallon of skim milk is 3.913 kg (3 dp)
---------------------------------------------------------------------------------------------
Question 3
Given:
Volume of liquid = 9 litersMass of liquid = 9.108 kg[tex]\begin{aligned}\implies \sf Density & = \sf \dfrac{Mass}{Volume}\\\\& = \sf \dfrac{9.108\:kg}{9\:l}\\\\& = \sf 1.012\:kg/l \end{alilgned}[/tex]
Therefore, the container holds light cream.
---------------------------------------------------------------------------------------------
Question 4
Given:
15 CoffeeStops per 100,000 peoplePopulation of Manhattan ≈ 1,602,000 people[tex]\begin{aligned}\implies \textsf{Number of Coffeestops} & = \sf \dfrac{population}{density}\\\\& = \sf \dfrac{1,602,000}{100,000/15}\\\\& = \sf \dfrac{1,602,000}{100,000} \times 15\\\\& = \sf 240.3\end{aligned}[/tex]
Therefore, there are 240 CoffeeStops.
---------------------------------------------------------------------------------------------
Question 5
Given
Manhattan ≈ 34 square miles[tex]\begin{aligned}\implies \textsf{CoffeeStops density} & = \sf \dfrac{number\:of\:stores}{land\:area}\\\\& = \sf \dfrac{240}{34}\\\\& \approx \sf 7 \: \textsf{CoffeeStops per square mile}\end{aligned}[/tex]
Therefore, the density of CoffeeStops is 7 per square mile.
---------------------------------------------------------------------------------------------
Question 6
Given:
Each person buys 3 cups of coffee per week[tex]\begin{aligned}\implies \textsf{Cups served each week} & = \textsf{number of people} \times \textsf{number of cups per week}\\& = \sf 1,602,000 \times 3\\& = \sf 4,806,000\: \textsf{cups per week}\\\\\implies \textsf{Cups per day} & = \sf \dfrac{\textsf{cups per week}}{\textsf{days in a week}}\\\\& = \sf \dfrac{4,806,000}{7}\\\\& = \sf 686,571\:\textsf{(nearest whole number)}\end{aligned}[/tex]
[tex]\begin{aligned}\implies \textsf{Cups served per day per shop} & = \dfrac{\textsf{cups per day}}{\textsf{number of shops}}\\\\& = \sf \dfrac{686,571}{240}\\\\& = \sf 2,861\: \textsf{(nearest whole number)} \end{aligned}[/tex]
Therefore, each Manhattan CoffeeStop serves approximately 2,861 cups of coffee each day.
What is the name of the red dot located on the curve of the parabola below?
O A. Center
B. Focus
C. Vertex
D. Directrix
C. Vertex (x,y). The vertex is right in the middle of the quadratic graph.
A teacher has a large container of blue, red, and green beads. she reports to the students that the proportion of blue beads in the container is 0.30. the students feel the proportion of blue beads is lower than 0.30. a student randomly selects 60 beads and finds that 12 of the beads are blue. the p-value for the test of the hypotheses, h0:p=0.30 and ha:p<0.30, is 0.045. what is the correct interpretation of this value?
The interpretation of this value is that the null hypothesis is that the proportion of blue beads in the container is 0.30 and the alternative hypothesis is 0.045.
What is a null hypothesis?It should be noted that the null hypothesis simply means a statical theory that suggests that there's no relationship between the variables given in the data set.
From the information given, it was stated that the proportion of blue beads in the container is 0.30. Here, the interpretation of this value is that the null hypothesis is that the proportion of blue beads in the container is 0.30 and the alternative hypothesis is 0.045.
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3. Find f(5)+j(-2) if f(x)=12-3x and j(x)=x² + 4x - 1.
HELP ME PLEASEEEE
The value of the expression f(5) + j(-2) is -8 where f(x)=12-3x and j(x)=x² + 4x - 1
How to solve the equation?The expression is given as:
f(5) + j(-2)
Where f(x)=12-3x and j(x)=x² + 4x - 1
Calculate f(5) and j(-2)
f(5)= 12 - 3(5) = -3
j(-2) = (-2)² + 4(-2) - 1 = -5
So, we have:
f(5) + j(-2) = -3 - 5
Evaluate
f(5) + j(-2) = -8
Hence, the value of the expression f(5) + j(-2) is -8
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Probability and Playing Cards
There are 52 total cards in the deck.
There are 13 spades, 13 clubs, 13 diamonds, and 13 hearts.
Each suit has the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king.
Suppose you are dealt two cards from the deck. What is the probability of being dealt two aces?
Answer:
do the calculation below
Step-by-step explanation:
(4/52 ) *(3/51)
leave a comment if you need more help
What is the value of the underline digit?
119.65
|2x -8| < 2
a. 3
b. -5
c. x>5 or x<3
d. x>-3 or x<-5
Answer:
[tex]3 < x < 5[/tex]
Step-by-step explanation:
Given inequality:
[tex]|2x - 8| < 2[/tex]
[tex]\textsf{Apply absolute rule}: \quad \textsf{If }|u| < a\:\textsf{ when } \: a > 0,\: \textsf{then }-a < u < a[/tex]
[tex]\implies u=2x-8\: \textsf{ and }\:a=2[/tex]
[tex]\implies -2 < 2x-8 < 2[/tex]
Therefore:
[tex]\implies -2 < 2x-8[/tex]
[tex]\implies 6 < 2x[/tex]
[tex]\implies 3 < x[/tex]
And:
[tex]\implies 2x-8 < 2[/tex]
[tex]\implies 2x < 10[/tex]
[tex]\implies x < 5[/tex]
Merge the overlapping intervals: [tex]3 < x < 5[/tex]
Proof
Graph: [tex]y=|2x-8|[/tex]
Add a line at [tex]y=2[/tex]
The interval that satisfies [tex]|2x - 8| < 2[/tex] is the area under the points of intersection (shaded area on the attached graph).
The values of x when [tex]y=|2x-8|[/tex] is less than 2 is more than x = 3 and less than x = 5.
So
Case-1
2x-8<22x<2+82x<10x<5Case-2
2x-8>-22x>6x>3So solution is
3<x<520 POINTS + BRAINLY Complete the table.
52, 54, 55, 55, 57, 58, 59, 59, 61, 61, 61, 62, 63, 63, 64, 65, 65, 68, 70, 72
Interval Frequency
50-54 2
55-59
60-64
65-69
70-74
The frequency of the data set that matches with the interval stated are:
50 - 54: 2
55 - 59: 6
60 - 64: 7
65 - 69: 3
70 - 74: 2
What is a Frequency?Frequency is the number of times a data point or a set of points within an interval appears often in a data set.
The corresponding frequency to each of the interval given for the data would be as follows:
50 - 54: 2
55 - 59: 6
60 - 64: 7
65 - 69: 3
70 - 74: 2
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1.Mary has ( 20xy - 10x²) sweets. She wants to divide the sweets each friend will get in term s of x and y
a) if X=6 and Y=4, how many sweets:
i) Will she give to each friend?
Answer:
X will get 20 sweets and Y will get 30 sweets.
Step-by-step explanation:
Substitute for x and y in in the equation.
20(6)(4) - 10(6)(6)
480-360
=120
Mary has 120 sweets.
Then divide 120 by 6 and 4
120/6= 20 sweets and 120/4 =30 sweets
the attachment below is the question
Answer: 2
Step-by-step explanation:
We need to find y when x=1, which is 2.
Greg has a piece of rope 18 ft long. He wants to cut it into two pieces so that the longer piece is 2 ft less than 3 times the length of the shorter piece.
How long will each piece of rope be?
Enter your answers in the boxes.
Shorter piece:
ft
Longer piece:
ft
Answer:
Shorter = 4ft.
Longer = 10ft.
Step-by-step explanation:
Shorter = x
Longer = 3x - 2
Piece of rope = 18
(3x - 2) + x = 18
4x - 2 = 18
4x = 16
x = 4 (shorter piece)
Longer piece
3x - 2
3(4) - 2
12 - 2 = 10
All of the following are equivalent, except.
Answer: B.
Step-by-step explanation: This is because you can't possibly have an exponent, there are no two of the same value being multiplied together.
(72 divided by 8-x2x3+1 plese help
Answer:
[tex]\frac{72}{-x^{5} +9}[/tex]
Step-by-step explanation:
Let me know if that is not the same equation you wrote and if you have any questions !!
Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation?
A. 0.75x = 0.8(x + 10)
B. 0.75(x + 10) + 0.8x = 101
C. 0.75x + 0.8x + 10 = 101
D. 0.75x + 0.8(x + 10) = 101
Jared attempted ____ shots.
Zach attempted ____ shots.
Answer: the other person is correct
In LMN, the measure of N=90°, ML = 17, LN = 8, and NM=15. what is the ratio that represents the secant M?
Answer:
To be clear, do u want the angle of M?
Answer:
secM = [tex]\frac{17}{15}[/tex]
Step-by-step explanation:
secM = [tex]\frac{1}{cosM}[/tex]
cosM = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{MN}{LM}[/tex] = [tex]\frac{15}{17}[/tex] , then
secM = [tex]\frac{1}{\frac{15}{17} }[/tex] = [tex]\frac{17}{15}[/tex]
Which one of these points lies on the given circle
O (-2.5, -2.5)
O (1, 3)
O (2, - √5)
O (-√3, -√7)
Step-by-step explanation:
every point on the circle has the same distance from the center : r (radius).
we can see that radius right there on the x-axis : the distance of (3, 0) to (0, 0) is simply 3. that is our radius.
the distance formula is applied Pythagoras
distance² = (difference in x coordinates)² +
+ (difference in y coordinates)²
distance = sqrt( ... )
so,
(-2.5, - 2.5)
(-2.5 - 0)² + (-2.5 - 0)² = 6.25 + 6.25 = 12.5
that is not 3² = 9, so the point is NOT on the circle.
(1, 3)
(1 - 0)² + (3 - 0)² = 1 + 9 = 10
that is not 3² = 9, so the point is NOT on the circle.
(2, -sqrt(5))
(2 - 0)² + (-sqrt(5) - 0)² = 4 + 5 = 9
that IS 3² = 9, so, the point IS on the circle.
(-sqrt(3), -sqrt(7))
(-sqrt(3) - 0)² + (-sqrt(7) - 0)² = 3 + 7 = 10
that is not 3² = 9, so the point is NOT on the circle.
Write the two equations that represent this information
Answer:
where is the information?
Step-by-step explanation:
find the value of x in 4^2x / 4^x = 64
Answer:
sorry I don't know
Step-by-step explanation:
sorry
BRAINLIEST if correct + small explanation
The Patel family looks at a map to plan their family vacation. They plan to travel from Smithville to Jonesville, which are 334
3
3
4
inches apart on the map. Then they plan to travel from Jonesville to Clarksville, which are 514
5
1
4
inches apart on the map. The scale on the map is 12
1
2
inch equals 4 miles. What is the actual distance the Patel family will travel by the time they reach Clarksville? Enter your answer in the box.
Answer:
282.7miles
Step-by-step explanation:
334+514=848inch
12inch=4miles
848inch=x
[tex]x = \frac{818 \times 4}{12} = 282.7[/tex]
Total distances in miles
334+514848inchesNow 12 in =4mi
3in=1mi
Total miles
848/3282.7mi