Help me please and give me easy way how to solve

Answers

Answer 1

To solve for the value of x in the length of a rectangle:

[tex]\begin{gathered} \text{Length = (2x+1)cm} \\ \text{width = 12cm} \\ \text{Area is not less than 108cm}^2 \end{gathered}[/tex]

Area of a rectangle = length x width , If the area of a rectangle is less than 108 thus the value is greater than 108cm²

[tex]\begin{gathered} \text{Area of a rectangle = length x width } \\ A=\text{ L X W} \\ A>\text{ L x W} \end{gathered}[/tex][tex]\begin{gathered} (2x+1\text{ x 12)>108} \\ 24x+12>108 \\ 24x>108-12 \\ 24x>96 \\ x>\frac{96}{24} \\ x>4 \end{gathered}[/tex]

Hence the correct answer for the value of x > 4

Answer 2

The value of x is less than 4

What is an Area?

An object's Area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.

According to the question,

Length = (2x+1) cm

Width = 12 cm

To solve , the Area of the rectangle = length x width i.e.

less than 108 cm^2

length x width = (2x+1) x 12 cm

Area < 108 cm^2

So,

(2x+1) x 12 < 108

2x+1 < 108/12

2x+1 < 9

2x < 8

x < 4

Related Questions

I just need to know the answer for question 12

Answers

Given:

The given inequalities are:

[tex]3x+1>7\text{ and 4x}\leq24[/tex]

Solving first inequality, we get:

[tex]\begin{gathered} 3x+1>7 \\ 3x>7-1 \\ 3x>6 \\ x>\frac{6}{3} \\ x>2 \end{gathered}[/tex]

Solving the second inequality, we get:

[tex]\begin{gathered} 4x\leq24 \\ x\leq\frac{24}{4} \\ x\leq6 \end{gathered}[/tex]

Merging the solutions of both inequalities, we get:

[tex]\begin{gathered} x>2\text{ and x}\leq6 \\ \Rightarrow x\epsilon\text{ (2,6\rbrack} \end{gathered}[/tex]

So, the graph will be a number line with an open circle at 2 and a closed circle on 6 and shading in between.

Therefore,

Option A is correct.

Make a table of values for the function Y=-4x

Answers

The table of values for the function y = -4x.

The table is attached below-

Hence, the values for the function is giiven below

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The product of the ages (in days) of two newborn babies Simran and Jessie in two dayswill be 48 more than the product of their ages today. How old are the babies if Jessie is 2days older than Simran?

Answers

Given that:

- The product of the ages (in days) of babies Simran and Jessie in two days

will be 48 more than the product of their ages today.

- Jessie is 2 days older than Simran.

Let be "j" Jessie's age (in days) and "s" Simran's age (in days).

You can set up the following System of Equations using the data given in the exercise:

[tex]\begin{cases}(j+2)(s+2)=js+{48} \\ j={s+2}\end{cases}[/tex]

You can use the Substitution Method to solve the system:

1. Substitute the second equation into the first one:

[tex](s+2+2)(s+2)=(s+2)s+48[/tex]

2. Solve for "s":

[tex](s+4)(s+2)=s^2+2s+48[/tex][tex](s)(s)+(s)(2)+(4)(s)+(4)(2)=s^2+2s+48[/tex][tex]s^2+2s+4s+8=s^2+2s+48[/tex][tex]\begin{gathered} 4s=48-8 \\ \\ s=\frac{40}{4} \\ \\ s=10 \end{gathered}[/tex]

3. Substitute "s" into the second original equation and evaluate:

[tex]\begin{gathered} j=10+2 \\ j=12 \end{gathered}[/tex]

Hence, the answer is: Jessie is 12 days old and Simran is 10 days old.

Absolute value can never be negative,
true or false?

Answers

Answer:

Yes, an absolute value can never be false. So, the answer is true.

Question 12(Multiple Choice Worth 1 points)(07.04 LC)Factor completely 36x² - 49.(3x + 7)(12x-7)(3x-7)(12x+7)(6x-7)(6x-7)(6x + 7)(6x-7)

Answers

The factor the binomial

[tex]a^2-b^2[/tex]

Find the square root of a and the square root of b, then put them as the product of the sum and difference of these square roots

[tex]\begin{gathered} \sqrt{a^2}=a \\ \sqrt{b^2}=b \\ a^2-b^2=(a+b)(a-b) \end{gathered}[/tex]

We will use this rule to factor in the given expression

[tex]36x^2-49[/tex]

Find the square root for each term

[tex]\begin{gathered} \sqrt{36x^2}=6x \\ \sqrt{49}=7 \end{gathered}[/tex]

Write the two factors

[tex]36x^2-49=(6x+7)(6x-7)[/tex]

The answer is the last choice (6x + 7)(6x - 7)

14 Betsy works as waitress. Today she worked an 8 hour shift, and was paid $ 92.00. Plot
a graph of the amount Betsy earns against the time she works for. Then find how much
Betsy is paid per hour. Write an equation using Y = MX + B Form.

Answers

Answer:

11.50 per hour

Step-by-step explanation:

Y = 92

8 = Mx

Y = mx

92 = m(8)

m = 11.50 per hour

Consider the equation 2x+5y=1Identify the slope and y intercept

Answers

Solution

Given the equation 2x+5y=1

We are required to Identify the slope and y intercept

The general equation of a straight line is in the form y = mx + c

Where m = slope and c= y-intercept

To solve the problem before us, we need to re-write 2x+5y=1 in the form y = mx + c

[tex]\begin{gathered} 2x+5y=1 \\ 5y=-2x+1 \\ y=-\frac{2}{5}x+\frac{1}{5} \\ \\ Comparing\text{ the resulting equation with y=mx+c} \\ m=-\frac{2}{5},\text{ c=}\frac{1}{5} \end{gathered}[/tex]

Thus, the slope = -2/5 while the y-intercept is 1/5

pls helpp

I dont understand this

Answers

Answer:

third expression

Step-by-step explanation:

the surface area (SA) is the area of the 6 faces.

Note that opposite faces are congruent.

the surface area is the the area of each face multiplied by 2 , since they are congruent.

SA = 2(front area ) + 2(side area ) + 2(area of base)

= 2(5 × 7 ) + 2(4 × 7 ) + 2(4 × 5 ) ← third option

= 2(35) + 2(28) + 2(20)

= 70 + 56 + 40

= 166 cm²

The cross-section of a lean-to shelter is in the shape of a triangle. The base of the triangle is 88 feet more than twice its height. If the area of the triangle is 6060 square feet, determine the length of the base and the height of the triangle in feet.

Answers

The length of the base and the height of the triangle are 7.7 feet and 15.7 feet

How to determine the length of the base and the height of the triangle

From the question, we have the following parameters that can be used in our computation:

Base = 8 feet more than twice the height

Area = 60

This means that

b = 8 + h

A = 60

The area of a triangle is

A = 0.5bh

So, we have

0.5(8 + h)h = 60

This gives

4h + 0.5h² = 60

Rewrite as

0.5h² + 4h - 60 = 0

Using a calculator, we have

h = 7.7

Recall that

b = 8 + h

So, we have

b = 8 + 7.7

Evaluate

b = 15.7

Hence, the base is 15.7 feet

Answers

Answer:

w = 4

Step-by-step explanation:

[tex]\frac{w}{2}[/tex] + 3 = 5 ( subtract 3 from both sides )

[tex]\frac{w}{2}[/tex] = 2 ( multiply both sides by 2 to clear the fraction )

w = 4

Write a systems of equations for each problem define variables used. Please show all work.On a table are 20 coin., quarters and dimes. Their value is $3.05 how many of each kind of coin are there?

Answers

We have 20 coins in total, lets say that we have X amount od quarters(0.25 dollar) and Y amount of dimes(0.1 dollar), and in total we have $3.05, with this we can write the system:

[tex]X+Y=20[/tex]

Wich means that we have 20 coins, and:

[tex]0.25X\text{ + 0.1Y=3.05}[/tex]

Thats the amount of money we have.

So, from the first equation, we can isolate X, as follows:

[tex]X=20-Y[/tex]

And with that we can substitute X in the second equation, as follows:

[tex]0.25X\text{ + 0.1Y=3.05 }\rightarrow\text{ }0.25(20-Y)\text{ + 0.1Y=3.05 }\rightarrow\text{ }5-0.25Y+0.1Y=3.05[/tex][tex]5-0.25Y+0.1Y=3.05\rightarrow-0.15Y=-1.95\rightarrow Y=13[/tex]

So, if Y=13, we have that X=7. So 13 dimes and 7 quarters.

use the values of the vertex and point to write the equation of the graph in standard form

Answers

Explanation

The vertex form of a quadratic function is:

[tex]\begin{gathered} y=a(x-h)^2+k \\ \text{ Where} \\ (h,k)\text{ is the vertex of the parabola } \end{gathered}[/tex]

The standard form of a quadratic function is:

[tex]y=ax^2+bx+c[/tex]

We can do the following steps to solve the exercise.

Step 1: We replace the values of h,k, x, and y into the vertex form of a quadratic equation, and we solve for a.

[tex]\begin{gathered} h=1 \\ k=-5 \\ x=3 \\ y=-1 \end{gathered}[/tex][tex]\begin{gathered} y=a(x-h)^{2}+k \\ -1=a(3-1)^2-5 \\ -1=a(2)^2-5 \\ -1=4a-5 \\ \text{ Add 5 from both sides} \\ -1+5=4a-5+5 \\ 4=4a \\ \text{ Divide by 4 from both sides} \\ \frac{4}{4}=\frac{4a}{4} \\ 1=a \end{gathered}[/tex]

Step 2: We replace the values of a,h, and k into the vertex form of a quadratic equation.

[tex]\begin{gathered} y=a(x-h)^{2}+k \\ y=1(x-1)^2-5 \end{gathered}[/tex]

Step 3: We expand the expression inside the parentheses and combine like terms to convert the function into its standard form.

[tex]\begin{gathered} y=1(x-1)^{2}-5 \\ y=(x-1)^2-5 \\ y=(x-1)(x-1)-5 \\ \text{ Apply the distributive property} \\ y=x(x-1)-1(x-1)-5 \\ y=x*x-x*1-1*x-1*-1-5 \\ y=x^2-x-x+1-5 \\ y=x^2-2x-4 \end{gathered}[/tex]Answer

The equation of the graph in standard form is:

[tex]y=x^{2}-2x-4[/tex]

help meeeeeeeeeeeeeee pleaseeeeeee

Answers

Answer: Width = 4.7 meters, Length = 6.7 meters

Step-by-step explanation:

Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].

[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2=1503\\\\t^2 =\frac{1503}{16}\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

9- (4x + 4) = 3x - 10 + 8x

Answers

Answer: 1=x

Step-by-step explanation:

9-4x-4=3x-10+8x

9-4+10=3x+8x+4x

15=15x

1=x

Expand the brackets :
9 - 4x - 4 = 3x - 10 + 8x

-> 9 - 4x - 4 - (3x - 10 + 8x) = 0
-> 9 - 4x - 4 - 3x + 10 - 8x = 0
-> (9 - 4 + 10) - (4x + 3x + 8x) = 0
-> 15 - 15x = 0
15x = 15
x = 1

Might be confusing so just leave a comment if you don't understand (because I do the more detailed way really ;-;)

WILL GIVE BRAINLIEST IF RIGHT

The following is a list of grades that students received on a recent math exam:

77, 78, 81, 62, 63, 65, 81, 92, 93, 89, 91, 78, 66, 75, 78, 80, 91, 93, 95, 93, 91, 88, 76, 89, 91, 96.

The teacher wants to highlight the lower quartile, median, and upper quartile. Which of the following displays would represent the data in this way?

Bar chart
Box plot
Histogram
Stem-and-leaf plot

Answers

The display that would represent the data in the best way that lower quartile, median, and upper quartile would be highlighted would be box ploy. That is option B.

What is box plot?

Box plot which is also called box and whisker plot is a type of graphical representation that is used to represent the five number summary of a data set that include the following:

Minimum,lower quartile, median,upper quartile andMaximum.

Therefore, among the listed displays, the graphical representation method that can best be used is the box plot.

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Answer:

B - Box Plot

Step-by-step explanation:

I took the test :)

HELP ME PWEASE (what is A^2 + B^2 =)

YOUR WELCOME FOR THE POINTS

Answers

Answer:

i think it is 61

correct me if im wrong

Answer:

a2 + b2 = (a + b)2 -2ab.

Step-by-step explanation:

Your Welcome:)

- 2ab

Gary makes $7.48 an hour. He grossed $310.42 last week. How many hours did he work?

Answers

Answer:

Gary worked 41 and a half hours

Step-by-step explanation:

$310.42 divided by $7.48 per hour = 41.5 hours

An orchard has 40 rows of trees. Each row is a set number
of trees longer than the one preceding it. If the first row
has 24 trees and the last row has 180 trees, find the
following:
a. How many trees are there in the whole orchard?
b. How many trees are there in the 21st row of the orchard?
ar:

Answers

Answer:

a)4080 trees

b)104 trees

Step-by-step explanation:

1st - 24 trees

last (40th) - 180 trees

If differences between any row (except 40th) and next row are equal then

2nd - 24 trees+X

3rd - (2nd+X) or 24 trees + 2X

coefficient of X is number of row minus 1, therefore 40th row has 24 trees + 39X, and it is equal to 180. We can make an equation from this:

24tr+39X=180tr

39X=156tr

X=4tr

By this we can find how many trees are there in the 21st, 21st row has 24 trees+20X=24 trees+80 trees=104 trees

To find how many trees are there in the whole orchard, we add them all:

1st - 24 trees, 2nd - 24 trees + X, 3rd - 24 trees + 2X,

easily, it is just 24 trees x 40 + 39X x 20 = 4080 trees

Answer:

(a) 4,080 trees

(b) 104 trees

Step-by-step explanation:

If the first row has 24 trees and the fortieth row has 180 trees, how many additional trees are in each succeeding row?

[tex](40-1)x=180-24[/tex]

[tex]39x=156[/tex]

[tex]x=4[/tex]

That means that each row has 4 more trees than the preceding row. For example, the second row has 28 trees, the third row has 32 trees, and so on. We can write a formula to tell us how many trees are in any given row:

[tex]n=4(r-1)+24[/tex]

where [tex]r[/tex] is the row number between 1 and 40.

(a) 24 + 28 + 32 + 36 + 40 + 44 + 48 + 52 + 56 + 60 + 64 + 68 + 72 + 76 + 80 + 84 + 88 + 92 + 96 + 100 + 104 + 108 + 112 + 116 + 120 + 124 + 128 + 132 + 136 + 140 + 144 + 148 + 152 + 156 + 160 + 164 + 168 + 172 + 176 + 180 = 4,080

(b) Using our formula above:

[tex]n=4(21-1)+24[/tex]

[tex]n=4(20)+24[/tex]

[tex]n=80+24[/tex]

[tex]n=104[/tex]

Write an algebraic expression for each verbal expression.1. x more than 7 2. a number less 35 3. 5 times a number4. one-third of a number5. f divided by 106. the quotation of 45 and r7 three times a number plus 168. 18 decreased by 3 times d9. k squared minus 1110. 20 divided by t to the fifth power

Answers

Part 1

'x more than 7' written as an algebraic expression is:

= 7 + x

Part 2

Let the number be n

Therefore, 'a number less 35' written as an algebraic expression:

=n - 35

Part 3

Let the number be y

'5 times a number' written as an algebraic expression:

=5 x y = 5y

Part 4

[tex]\text{One}-\text{third}=\frac{1}{3}[/tex]

Let the number be x.

[tex]\begin{gathered} \text{One}-\text{third of a number}=\frac{1}{3}\text{ of x} \\ =\frac{1}{3}x \end{gathered}[/tex]

Part 5

[tex]f\text{ divided by 10}=\frac{f}{10}[/tex]

im confused on what goes with what
'

Answers

Answer: b

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

you have to divide it so 7 1/2 ÷ 1 1/2

15/2 × 3/2 then you swap the 3/2 to 2/3 so it will be 15/2 × 2/3 you don't have to cross multiplication so you just multiply across so it would be 15×3=30 and then 2×3=6 so it would be 30/6 but that's not the final answer because it and improper fractions so you divide 30÷6=5 and that's how you get 5

You used `14` ounces of cheese to make `2` pizzas.

How much cheese do you need for `3` pizzas?

Answers

Answer:

You need 21 ounces of cheese for 3 pizzas.

Step-by-step explanation:

If you use 14oz for 2 pizzas, then if you divide it by 2, you have 7oz for 1 pizza.

Now multiply by 3 to get 21oz for 3 pizzas.

Miranda has $50 to buy 6 swim caps for the members of a swim team.
Which expression shows the amount of money she will have left if each swim cap costs c dollars?

Answers

Answer:

50÷6=8 R2

Step-by-step explanation:

6 ⟌50 R2

- 0

-------------

-48

--------------

So, Miranda will have $8 left to buy.

17. Testing Lipitor In a clinical trial of the cholesterol drug Lipitor, subjects were partitioned into groups given a placebo or Lipitor doses of 10 mg, 20 mg, 40 mg, or 80 mg. The subjects were randomly assigned to the different treatment groups (based on data from Pfizer, Inc.). would it be a random,systematic, onvience, stratified, or cluster.

Answers

Answer:

Stratified

Explanation:

In Stratified Sampling, members of the population are divided into subgroups before a random sample of each group is taken.

Therefore in the case of the clinical trial presented, the sampling method used is stratified.

simplify and solve the following linear equations.15 (Y - 4 - 2) Y - 9 + 5 (Y + 6)=0

Answers

Solution

We want to solve

[tex]\begin{gathered} 15(y-4)-2(y-9)+5(y+6)=0 \\ Exapnd\text{ the brackets } \\ 15y-60-2y+18+5y+30=0 \\ 15y-2y+5y-60+18+30=0 \\ 18y-12=0 \\ 18y=12 \\ \text{Divide both sides by 18} \\ \frac{18y}{18}=\frac{12}{18} \\ y=\frac{12}{18} \\ y=\frac{2}{3} \\ \\ \text{The answer is y = }\frac{2}{3} \end{gathered}[/tex]

In a video game, Shar has to build a pen shaped like a right triangle for her animals. If she needs 5 feet of fence for the shortest side and 13 feet of fence for the longest side,
how many feet of fencing is needed for the entire animal pen?

Answers

Answer:

The answer is 12.

Step-by-step explanation:

First you need to draw a right triangle. Then the shortest side of the triangle is 5 and the longest is 13 so you would have to do a^2 + b^2 = c^2. So the problem would look like this 5^2 + b^2 = 13^2. 5 x 5= 25 and 13 x 13= 169. Now the problem looks like this 25 + b^2 = 169, since you can't do 25 + b you would have to bring it to the other side. Afterwards the problem should look like this b^2 = 144. Now you would have to square the b and 144 so the answer is 12. Sorry for spelling and grammar mistakes. Hoped this helped!

Answer:

Step-by-step explanation

Given the point slope form of a line equation write in the slope form equation y+1=-3(x-2)

Answers

Given the line in point slope form:

y + 1 = 3(x - 2)

Let's rewrite the equation in slope intercept form.

Using the point slope form:

y - y1 = m(x - x1)

Thus, we have the following:

x1 = -2

y1 = 1

slope, m = 3

To write in slope intercept form, all you have to do is to isolate the y.

Thus,

y + 1 = 3(x - 2)

Expand the parenthesis:

y + 1 = 3x - 6

Subtract 1 from both sides:

y + 1 - 1 = 3x - 6 - 1

y = 3x - 6 - 1

y = 3x - 7

Therefore, the equation in slope intercept form is:

y = 3x - 7

ANSWER:

y = 3x - 7

Answer:

Step-by-step explanation:

1 Divide both sides by -3−3.

-\frac{y+1}{3}=x-2

−

y+1

=x−2

2 Add 22 to both sides.

-\frac{y+1}{3}+2=x

−

y+1

+2=x

3 Regroup terms.

2-\frac{y+1}{3}=x

2−

y+1

4 Switch sides.

x=2-\frac{y+1}{3}

x=2−

y+1

simplify: 3√45 -4 √225 + √200 - √50

Answers

According to the given data we have the following:

3√45 -4 √225 + √200 - √50

Then to simplify we would have to make the following:

[3 × √3 × √3 × √5] - [√5 × √5 × √5] + [√2 × √2 × √2 × √5 × √5] - [√2 × √5 × √5]

=[3 × 3 × √5] - [5 × √5] + [2 × 5 × √2] - [5 × √2]

=3√5 - 5√5 + 10√2 - 5√2

=√5(3 - 5) + √2(10 - 5)

=(-2√5) + 5√2

Therefore, the answer would be 16√5 + 75√2

) In triangle XYZ, angle Y is right angle, and angle X and angle Y are complementary angles.If sin x =3/5 and cos x=4/5 then what is the value of sin y?
A) 3/5
B)4/5
C) 3/4
D)4/3

Answers

The value of sin Y is 4/5. The correct option is B) 4/5

Calculating the value of the sine of an angle

From the question, we are to determine the value of sin Y.

From the given information, we have that

sin X = 3/5

and

cos X = 4/5

Also,

We have that angle X and angle Y are complementary angles.

That is,

X + Y = 90°

From the Trigonometric ratios of complementary angles, we have that

sin Y = cos (90° - Y)

From X + Y = 90°

X = 90° - Y

Therefore,

sin Y = cos X

From the given information,

cos X = 4/5

Hence, sin Y = 4/5

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can you explain to me what a voronoi diagram is?and what are the edges, and other things?

Answers

A Voronoi diagram is a division of a plane into areas near each of a given set of objects in mathematics. These things are just infinitely many points in the plane in the simplest scenario (called seeds, sites, or generators). There is a region, known as a Voronoi cell, for each seed that is made up of all points in the plane that are closer to that seed than to any other point. A set of points' Voronoi diagram and Delaunay triangulation are identical.

We are aware that any intersection of half-planes results in a convex region bordered by a collection of linked line segments. Voronoi edges are the line segments that define the limits of Voronoi regions. These edges' termini are known as Voronoi vertices.

Voronoi diagram:

A Voronoi diagram in mathematics is a division of a plane into areas near to each of a given set of objects. These things are simply infinitely many plane points in the most basic scenario (called seeds, sites, or generators).

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