Solve the inequality 4x - 7> 3

Answers

Answer 1

Answer:

[tex]x > \frac{5}{2} > 2\frac{1}{2}[/tex]

Step-by-step explanation:

group

[tex]4x-7 > 3\\4x-7+7 > 3+7\\4x > 3+7\\4x > 10[/tex]

isolate "x"

[tex]4x > 10\\=\frac{4x}{4} > \frac{10}{4}\\x > \frac{10}{4}\\x > \left(\frac{5\cdot 2}{2\cdot 2}\right)\\x > \frac{5}{2}[/tex]

Answer 2

Answer:

x > 2.5 or in fraction form x > 2 1/2

Step-by-step explanation:

4x - 7 > 3

     +7  +7         Add seven to both sides.

4x > 10

÷4     ÷4            Divide both sides by 4.

x > 2.5

Hope this helps!


Related Questions

solve pls brainliest

Answers

Step-by-step explanation:

(−424.9) × (-0.1) = 42.49

2.7 × (−0.5) = -1.35

Answer: Heyaa! ~

Your Answers when Multiped are...

42.49 -1.35

Step-by-step explanation:

-424.9(-0.1)= 42.492.7 × (−0.5) = -1.35

     - Multiplied. -

 Hopefully this helps you! ~

Axis of symmetry y=x^2-4x+1

Answers

Answer:

So for a quadratic function, the axis of symmetry is the line that divides the curved line in the middle, which is the h value, it can be found by using the formula -b/2a, so for here it would be 4/2(1) = 2, so x =2

Hope that answers your question

Step-by-step explanation:

How many inches is 35 yards?

Answers

Answer:

1260 inches

Step-by-step explanation:

Calculator

5 less than a number b is 16

Answers

Given :-

[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: 5 < b = 6 \: \: \: or \: \: \: b - 5 = 6 } \\ \end{gathered}[/tex]

Solution :-

[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: b - 5 = 6 } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\dashrightarrow\mathsf { \: \: b = 6 + 5 } \\ \end{gathered}[/tex]

[tex] \begin{gathered}\\ \large\dashrightarrow \: \: \underline{ \boxed{\mathbf \red{ \: \: b = 11 \: \: }}} \\ \end{gathered}[/tex]

Hence,

b is equal to 11 .

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Additional information

[tex]\begin{gathered}\begin{gathered}\begin{gathered}\: \: \: \: \: \: \begin{gathered}\begin{gathered} \small \color{blue}{ \underline{\boxed{ \begin{array}{cc} \small \underline{\underline{\bf{ \color{red}{{ \orange \bigstar \: MᴏʀE \: IᴅᴇɴᴛɪᴛɪᴇS \: \orange \bigstar}}}}} \\ \\ \: \frak{ {(x + y)}^{2} = {x}^{2} + 2xy + {y}^{2} }\:\\ \\ \: \frak{ {(x - y)}^{2} = {x}^{2} - 2xy + {y}^{2} }\:\\ \\ \: \frak{ {x}^{2} - {y}^{2} = (x + y)(x - y)}\:\\ \\ \: \frak{ {(x + y)}^{2} - {(x - y)}^{2} = 4xy}\:\\ \\ \: \frak{ {(x + y)}^{2} + {(x - y)}^{2} = 2( {x}^{2} + {y}^{2})}\:\\ \\ \: \frak{ {(x + y)}^{3} = {x}^{3} + {y}^{3} + 3xy(x + y)}\:\\ \\ \: \frak{ {(x - y)}^{3} = {x}^{3} - {y}^{3} - 3xy(x - y) }\:\\ \\ \: \frak{ {x}^{3} + {y}^{3} = (x + y)( {x}^{2} - xy + {y}^{2} )}\: \\ \: \end{array} }}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered} \: \: [/tex]

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^^

PLEASE HELP
This Box-and-Whisker Plot is based on how many points a basketball player scored in a set of games.

In what percent of games did the player score more than 25 points?

Answers

Answer:

27.778%

Step-by-step explanation:

30-12= 18

numbers greater than 25 = 5

5/18 =26.778%

Answer:

A 25%

Step-by-step explanation:

hope this helps

A skier skis CCW along a circular ski trail that has a radius of 1.9 km. She starts at the northern most point of the trail and travels at a constant speed, sweeping out 3.1 radians per hour. Let t represent the number of hours since she started skiing. Write an expression in terms of t to represent the number of radians that would need to be swept out from the East side of the ski trail (3 o'clock position) to reach the skier's current position. Write an expression in terms of t to represent the skier's distance East of the center of the circular ski trail (in km). Write an expression in terms of t to represent the skier's distance North of the center of the circular ski trail (in km).

Answers

The expressions of the number of radians can be expressed in the ways below.

How to write the expressions

The radius = 1.9 km

The angular speed = 3.1 radians per hour

a. The expression of t from the number of radians

θ = π/2 + 3.1t

b. Expression from the East

x = rcosθ

= 1.9cos(π/2 + 3.1t)km

c. Expression from the north of the center

= rsinθ

= 1.9sin((π/2 + 3.1t)km

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Write the equation of a line in slope-intercept form, that passes through the point (6,-4) and its parallel to the line y=3x-8

y=

Answers

Answer:

Step-by-step explanation:

We'll look for a line with the form of y = mx + b, where m is the slope and b is the y-intercept (the value of y when x = 0).

A parallel line will have the same slope as the reference line,  For y=3x-8, the slope is 3.  We can write:

y =3x + b for the new line.  We need a value of b that will cause the line to include point (6,-4).  To find a b that will work, simple use the given point in the above equation and solve for b:

y =3x + b

-4 =3(6) + b  for (6,-4)

-4 =18 + b

b = -22

The parallel line that goes through point (6,-4) is y = 3x - 22

See the attached graph.

(01.07)
Solve for x: the quantity of x plus 4 over 3 = 2. (1 point)

Group of answer choices

x = −2

x = 2

x = 2 over 3

x = negative 10 over 3

Answers

Answer:B

Step-by-step explanation:

"the quantity of can be ignored".

(x+4)/3=2

(x+4)=6

x=2

Find the value of x. 5 8 120 120 120 5 5 x = [?]​

Answers

This is the answer to your question. x=8

After school, Carlos helps his mom at her cake shop, Love and Lace Cakes. Today, he is helping her bake a 3-layer wedding cake. Each layer will be 2 1/2
inches tall and shaped like a rectangular prism. The bottom layer will be 12 inches long and 10 inches wide. The middle layer will be 10 inches long and 8 inches wide. The top layer will be 8 inches long and 6 inches wide.
What will the total volume of the wedding cake be?
Write your answer as a whole number, proper fraction, or mixed number.

Answers

The total volume of the wedding cake would be 620 in³.

What is the total volume?

A rectangular prism is a three-dimensional shape. It also known as a cuboid.

Volume = length x width x height

The volume of the cake is the sum of the volume of the three layers.

Volume of the first layer = 2 1/2 x 12 x 10

5/2 x 12 x 10 = 300 in³

Volume of the second layer = 2 1/2 x 10 x 8

5/2 x 10 x 8 = 200 in³

Volume of the third layer = 2 1/2 x 8 x 6

= 5/2 x 8 x 6 = 120 in³

Total volume = 300 + 200 + 120 = 620 in³

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If the measure of angle 4 is 132°, what is the measure of angle 7?
32°
48°
132°
148°

Answers

The sum of supplementary angles is 180 degrees. The measure of angle 7 is 48 degrees

Supplementary angles

The sum of supplementary angles is 180 degrees.

Let the supplement of the angle be "x", so that;

x + 132 = 180

Subtract 132 from both sides

x + 132 - 132 = 180 - 132
x =. 180 - 132
x = 48 degrees

Hence the measure of angle 7 is 48 degrees

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Select the correct answer from each drop-down menu.
Two parallel lines AB and CD are intersected by a transversal line EF that intersects AB at a point I and CD at a point K. Another transversal line GH is drawn right to GH and intersects AB at a point J and CD at point L.

In the figure, and ∠EIA ≅ ∠GJB. Complete the following statements to prove that ∠IKL ≅ ∠DLH.

∠EIA ≅ ∠IKC and ∠GJB ≅ ∠JLD because they are corresponding angles of parallel lines cut by a transversal.

So, if ∠EIA ≅ ∠GJB, then ∠IKC ≅ ∠JLD by the ________

A. Subtraction of Property
B. Substitution Property of Congruency
C. Addition Property of Congruency
D. Transitive Property of Congruency

∠IKL and ∠IKC and ∠DLH and ∠JLD are pairs of supplementary angles by the ____

A. Vertical Angles Theorem
B. Congruent Supplements Theorem
C. Linear Pair Theorem
.

m∠IKL + m∠IKC = 180° (1)
∠IKC ≅ ∠JLD, so m∠IKC = m∠JLD (2)
Applying the _____

A. Subtraction Property of Equality
B. Substitution Property of Congruency
C. Addition Property of Congruency
D. Transitive Property of Congruency

to equations (1) and (2), we get m∠IKL + m∠JLD = 180°.

Therefore, ∠IKL and ∠JLD are supplementary angles.

We've already shown that ∠DLH and ∠JLD are supplementary angles. Therefore, ∠IKL ≅ ∠DLH by the ____

A. Vertical Angeles Theorem
B. Definition of Supplementary Angles
C. Congruent Supplements Theorem
D. Linear Pair Theorem
.

Answers

∠IKL and ∠IKC and ∠DLH and ∠JLD are pairs by the Transitive Property of Congruency.

∠IKL and ∠IKC and ∠DLH and ∠JLD are pairs by the Linear Pair Theorem.The angle is Applying the  Transitive Property of Congruency and product of m∠IKL + m∠JLD = 180°.Therefore, ∠IKL ≅ ∠DLH by the Congruent Supplements Theorem

What is the Transitive property of congruence?

This states that, if a pair of lines or angles or triangles are said to be congruent to a third line or angle, therefore, the first line or angle or triangle is said to be congruent to the third line or angle.

∠IKL and ∠IKC and ∠DLH and ∠JLD are pairs by the Transitive Property of Congruency. because the two angles and the other side of the angle/triangle are said to be equal to two angles and other side of the other triangle.

∠IKC ≅ ∠JLD, so m∠IKC = m∠JLD  and as such angle is Applying the  Transitive Property of Congruency because  if A =b, and b = c then A = c and therefore, the above is true.

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help solving the sheet​

Answers

Answer:

[tex]x > - 1 \\ the \: answer \: is \: {d}[/tex]

1. There are 46 students in the orchestra and twice that number in the band. There are 34
boys and 23 girls in the choir. If each student only participates in one group, how many
students total are there in the orchestra, the band, and the choir?

Answers

The total number of students in the orchestra, the band, and the choir is 195

Determining the number of students

From the questions, we are to determine how many students in total are in the orchestra, the band, and the choir

From the given information,

There are 46 students in the orchestra and twice that number in the band.

Thus,

Number of students in the orchestra = 46

Number of students in the band = 2 × 46 = 92

And

There are 34 boys and 23 girls in the choir

∴ Number of students in the choir = 34 + 23 = 57

Then,

The total number of students in the orchestra, the band, and the choir = 46 + 92 + 57

Total number of students in the orchestra, the band, and the choir = 195

Hence, the total number of students in the orchestra, the band, and the choir is 195

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write the slope-intercept form of the equation of a line passing through the following two points: (-3, 7) & (6, -5)

Answers

Answer:  [tex]y = -\dfrac{4}{3} x +3[/tex]

In order to find equation, first find slope:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1} \quad where \ (x_1, y_1) , \ (x_2, y_2) \ are \ points[/tex]

Given points: (-3, 7) and (6, -5)

[tex]\rightarrow \sf slope : \dfrac{-5-7}{6-(-3)} =-\dfrac{4}{3}[/tex]

Equation:

[tex]\sf y- y_1 = m(x - x_1)[/tex]

insert values

[tex]\rightarrow \sf y - 7 = -\dfrac{4}{3} (x -(-3))[/tex]

[tex]\rightarrow \sf y = -\dfrac{4}{3} x - 4 +7[/tex]

[tex]\rightarrow \sf y = -\dfrac{4}{3} x +3[/tex]

Toby has $70 saved.He is saving $15 more each week.In how many weeks will he have $280 saved to buy the new skateboard he wants?

Answers

Answer:

14 weeks

Step-by-step explanation:

Let's create and equation to display this situation. Toby already has $70 saved, so that is not the variable and no x should go next to it. He is saving $15 more each week. Lastly, we want to end up with $280 saved. The equation will look like this, given the information:

15x + 70 = 280

To find how many weeks it will take, solve the equation!

15x = 210            Subtract 70 from 280

x = 14                  Divide 210 by 15

Therefore, it will take Toby 14 weeks to save up for a new skateboard.

Hope this helps! If you have any questions about my work, please let me know down in the comments!

Please solve this ASAP!!!

Answers

Hillbilly crazy boy go wild

Overview Park has a picnic area and a playground, as shown in the diagram below. What is the area of the playground, in square feet?

Answers

Answer:

Hi,

Step-by-step explanation:

The playground 's area is the difference of 2 squares:

20²-10²=(20+10)*(20-10)=30*10=300 (ft²)

The park is 67 square feet from
The playground

At a school dance, tickets are sold at the door and each ticket is the same price. the amount of money the school makes from the dance is equal to the total amount of money collected from ticket sales minus the total cost of the dj and decorations. for this dance, the total cost is fixed and is not dependent on the number of tickets sold. if 75 tickets are sold, the school loses $150. if 100 tickets are sold, the school makes $100. what is the total cost of the dj and decorations?

Answers

Answer:

$900

Step-by-step explanation:

x = the cost of the tickets

y = the cost of dj & decorations

In the first situation, the profit of -$150 = 75x - y

In the second situation, the profit of $100 = 100x - y

Using the first situation, we isolate y as follows:

-150 = 75x - y

Add y to each side: y-150 = 75x

Add 150 to each side to isolate y

y = 75x + 150

Use this formula in the second situation in place of the y

Original formula: 100 = 100x - y

With substitution: 100 = 100x - (75x + 150)

Simplify to: 100 = 25x - 150

Add 150 to both sides: 250 = 25x

Divide both sides by 25: 10 = x

Input the 10 in for x in either formula above

-150 = 75(10) - y

-150 = 750 - y

Add y to both sides

y - 150 = 750

Add 150 to both sides

y = 900

If you buy a ticket, what is the
Probability that your ticket will have the winning numbers?

Answers

It truly depends on the ticket you got.

A restaurant is analyzing its customer satisfaction level. the manager performs an observational study of customers during the lunch hour on a monday and draws the conclusion that most of the customers are satisfied with the service they receive. the conclusion drawn from the study is because the sample is . in this instance, an study was conducted.

Answers

The conclusion drawn is not valid. This is as a result of the fact that the sample is inappropriate.

How to determine the conclusion of a study?

We are told that a restaurant is analyzing its customer satisfaction level. Now, the conclusion drawn was that most of the customers are satisfied with the service they receive.

Now, we can say that the conclusion drawn is not valid. This is as a result of the fact that the sample is inappropriate as it does not deal with the actual response from the customers but only observational.

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find the value of a 3a+2b=8 and b=-2

Answers

Answer:

The value of a in the given equation is '4'

Step-by-step explanation:

The given equation is: 3a + 2b = 8 and b = -2

Plug the value of b into the formula:

3a + 2(-2) = 8

3a - 4 = 8

We want 3a by itself so we will add +4 to both sides:

3a - 4 + (4) = 8 + (4)

3a = 12

Divide both sides by 3 so a is by itself:

3a/3 = 12/3

1a = 4

a = 4

surface area of a square pyramid with side length 6 yd and slant height 7 yd

Answers

Check the picture below.

so the pyramid is really 4 triangular faces with a base of 6 and a height of 7, and a 6x6 square at the bottom.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{\textit{four triangular faces}}{4\left[\cfrac{1}{2}(\stackrel{b}{6})(\stackrel{h}{7}) \right]}~~ + ~~\stackrel{square}{(6)(6)}}\implies 84~~ + ~~36\implies 120~yd^2[/tex]

Answer:

127.38

Step-by-step explanation:

The surface area formula for a square pyramid is:

A = a^2 + 2a * sqrt[ (a^2 / 4 ) + h^2 ]

So we input the base height as the a value, and the slant as H)

A = 6^2 + 2(6) * sqrt[ (6^2 / 4 ) + 7^2 ]

When using the exponents we get:

A = 36 + 2(6) * sqrt[ (36) / 4 ) + 49 ]

Then multiply/divide:

A = 36 + 12 * sqrt[ (9) + 49 ]

Then add the value in the sqrt.

A = 36 + 12 * sqrt[ 58 ]

Now, if we find the sqrt of 58, we get:     sqrt[ 58 ] ≅ 7.615

A = 36 + 12 * 7.615

When multiplying we get:

A = 36 + 91.38

Finally, after adding, the surface area of the square pyramid is:

A = 127.38

Fiona recorded the mean math exam grade for six random samples of students from the entire seventh-grade class. Sample Sample Mean Grade 1 65 2 92 3 78 4 45 5 95 6 70 Why is a valid prediction for the mean of the population not possible using these samples?

Answers

The reason why Fiona cannot make a valid prediction based on the mean of the population is that the variation of Fiona’s samples is too large.

Why can't Fiona use the means she recorded?

Mean is quite sensitive to outliers so it is best used when the variation between variables is not too much.

In Fiona's case, there variation is quite high with high variable of 95 compared to a low value of 45.

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Answer: just confirming/

Step-by-step explanation:

Translate the shape A four squares right and two squares down.What are the coordinates of the vertices of the image?.

Answers

The translated vertices are:

A' = (5, 2)B' = (5. -1)C'  = (7. -1)

What are the coordinates of the vertices of the image?.

The vertices of the original figure are:

A = (1, 4)B = (1, 1)C = (3, 1).

Now we want to apply a translation of four units to the right and 2 units down, then each point (x, y) becomes (x + 4, y - 2).

This means that the translated vertices are:

A' = (1 + 4, 4 - 2) = (5, 2)B' = (1 + 4, 1 - 2) = (5. -1)C' = (3 + 4, 1 - 2) = (7. -1)

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he proportion used to find the average number of trout you would expect to live in the pond is

7
20
= x
400
.

Solve the proportion to find the expected number of trout in the population.

The expected number of trout in the population is

Answers

im doing this for points :)(

Which calculation and answer show how to convert
13
16
decimal?
8.125
16) 13.0000
128
20
16.
40
32
80
80
0
1.23
13) 16.000
to a
3 of 4 QUESTIC

Answers

Answer:

The first option.  See attachment.

Step-by-step explanation:

Explained on attached image.

given triangle ABC what is the measure of angle A?

Answers

Answer:

I do not know the answer but I will just waffle to you

Step-by-step explanation:

540 divided by 3 equals 180 divided by 3 equals 60 then divide it by 3 again and you'll get the answer

Over what interval is the quadratic function decreasing?
*€ (-2,00)
*€ (-∞, -2)
Ο τε(-2,-00)
# € (-∞0,3)

Answers

Answer:

1 is e(200) . 2 is e(-2) . 3 is O te(-02) . 4is # e(30) .

What is the average rate of change for this quadratic function for the interval
from x=-5 to x = -3?
-10
10
A. -16
B. -8
C. 8
D. 16
x4

Answers

The average rate of change of the function at the interval is -8

How to determine the average rate of change?

The table that completes the question is added as an attachment


From the table, we have:

f(5) = -26

f(3) = -10

The average rate is then calculated as:

Rate = (f(5) - f(3))/(5 -3)

This gives

Rate = (-26 + 10)/(5 -3)

Evaluate

Rate = -8

Hence, the average rate of change of the function is -8

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