find the missing length indicated
(help me find x)​

Step-by-step explanation:

Width = 4x + 3

Length = 2(4x + 3) = 8x + 6

Area = Width x Length

Area = (4x + 3)(8x + 6)

Area = 32x² + 24x + 24x + 18

Area = 32x² + 48x + 18

Answer:

She has  n= 4 side dishes.

Total side dishes ordered = 5n = 20

Step-by-step explanation:

The total cost is given by

TC= 10 . 50 + 1 . 50 ( n − 1 )

She orders same 5 lunches for $ 75

$ 75= 5{ 10 . 50 + 1 . 50 ( n − 1 ) }

Or

Cost of 1 lunch would be $ 15

$ 75/5 = { 10 . 50 + 1 . 50 ( n − 1 ) }

or

$ 15 = 10 . 50 + 1 . 50 ( n − 1 )

$ 15-$  10 . 50 = 1 . 50 ( n − 1 )  

$ 4.5/ 1.5= n-1

$ 3= n-1

3+1= n

n= 4

She has  n= 4 side dishes.

Total side dishes ordered = 5n = 20

She spent

$ 1.50 ( 4-1) = $ 4.5 each day or $22.5 on side dishes for 5 days.

Answer:

(a) ER = 29.5

(b) SR = 29.5

(c) DR = 18.6

Step-by-step explanation:

(a) PE=ER, ES is a perpendicular bisector of PR.

(b) Tryangle SER is an isosceles triangle, therefor SR is = to ER.

(c) QD = DR, DS is a perpendicular bisector of QR.

Bisectors cut and angle or line in half.

Perpandicular means makes a 90 degree angle.

Answer:

his brother

Step-by-step explanation:

because 2 foot 7 inches in inches is 31 inches so therefore his brother has the longer fish.

1 foot = 12 inches.

2 feet x 12 = 24 inches + 7 = 31 inches.

Daves fish was 31 inches.

his brothers fish was bigger.

Answer:

B, C, E

Step-by-step explanation:

Edg 2021

A dilation preserves angle measures.  A dilation preserves the direction that the shape faces. The side lengths of a dilated image are proportional to the side lengths of the pre-image.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, rotation, reflection and dilation.

Dilation is the increase or decrease in the size of a figure by a factor k, hence the side lengths of a dilated image are proportional to the side lengths of the pre-image.

Dilation does not preserve the side lengths but it preserves the angle measures. Dilation also preserves the orientation (i.e. the direction that the shape faces).

Dilation is not an isometric transformation.

Find out more at: https://brainly.com/question/13176891

Given:

Ratio is [tex]2\dfrac{1}{4}:6\dfrac{3}{4}[/tex]

To find:

Convert this ratio to a unit rate.

Solution:

We have,

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{2\times 4+1}{4}:\dfrac{6\times 4+3}{4}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{8+1}{4}:\dfrac{24+3}{4}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{9}{4}:\dfrac{27}{4}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{\dfrac{9}{4}}{\dfrac{27}{4}}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{9}{27}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=\dfrac{1}{3}[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}=0.333...[/tex]

[tex]2\dfrac{1}{4}:6\dfrac{3}{4}\approx 0.33[/tex]

Therefore, the unit rate is about 0.33.

9514 1404 393

Answer:

  b: 7^18 / 7^9

  c: (7^3)^3

  e: 7^4 * 7^5

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  (a^b)/(a^c) = a^(b-c)

__

The given expression is ...

  [tex]7^8\cdot7=7^8\cdot7^1=7^{8+1}=7^9[/tex]

The offered alternatives are ...

  [tex]\textbf{a: }7^3\cdot7^3=7^{3+3}=7^6\quad\textbf{not equivalent}\\\\\textbf{b: }\dfrac{7^{18}}{7^9}=7^{18-9}=7^9\quad\textbf{equivalent}\\\\\textbf{c: }(7^3)^3=7^{3\cdot3}=7^9\quad\textbf{equivalent}\\\\\textbf{d: }7^4+7^5=7^4(1+7)=8\cdot7^4\quad\textbf{not equivalent}\\\\\textbf{e: }7^4\cdot7^5=7^{4+5}=7^9\quad\textbf{equivalent}[/tex]

Answer:

x=49/3

Step-by-step explanation:

move all terms that don't contain x to the right side and solve the problem.

Answer:

Step-by-step explanation:

7.  3x + 6 = 55

          - 6   - 6

  3x = 49

 /3      /3

x = 49/3  OR  x = 16.33

8.  50 = 6x + 2

    - 2          - 2

    48 = 6x

    /6    /6

     8 = x

Check/verify your answer:

50 = 6x + 2

50 = 6(8) + 2

50 = 48 + 2

50 = 50

This statement is correct.

Hope this helps!

Answer:

a) Rs. 2425.55, Rs. 2626.36 (2 d.p.)

b) Rs. 1320

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

hey please follow back me I follow you and I am good in Science and Maths

Given:

Jamie and Marshall's team tied Shawna and Wyatt's team for the top team score.

Marshall scores 12 less than Jamie. Shawna scored twice as much as Marshall. Wyatt scored 4 less than Shawna.

To find:

The individual score of each person.

Solution:

Let x be the score of Jamie.

Marshall scores 12 less than Jamie.

Marshall score = x-12

Shawna scored twice as much as Marshall.

Shawna score = 2(x-12)

Wyatt scored 4 less than Shawna.

Wyatt score = 2(x-12)-4

Now,

Score of Jamie and Marshall's team [tex]=x+(x-12)[/tex]

Score of Shawna and Wyatt's team [tex]=2(x-12)+2(x-12)-4[/tex]

Jamie and Marshall's team tied Shawna and Wyatt's team

[tex]x+(x-12)=2(x-12)+2(x-12)-4[/tex]

[tex]x+x-12=2x-24+2x-24-4[/tex]

[tex]2x-12=4x-52[/tex]

Isolate x.

[tex]2x-4x=-52+12[/tex]

[tex]-2x=-40[/tex]

Divide both sides by -2.

[tex]x=\dfrac{-40}{-2}[/tex]

[tex]x=20[/tex]

So, Jamie score = 20

Marshall score = 20-12

                        = 8

Shawna score = 2(20-12)

                        = 2(8)

                        = 16

Wyatt score = 2(20-12)-4

                     = 2(8)-4

                     = 16-4

                     = 12

Therefore, the scores of Jamie, Marshall, Shawna and Wyatt are 20, 8, 16 and 12 respectively.

Answer:

1x-8

Step-by-step explanation:

Answer:

-3,-2

Step-by--step explanation:

Answer:

Yes, the lines are perpendicular because the product of their slopes equals -1 ⇒ B

Step-by-step explanation:

The product of the slopes of the perpendicular lines is -1

So to prove that the lines are perpendicular let us find their slopes

The rule of the slope is:

[tex]m=\frac{y2-y1}{x2-x1}[/tex] , where (x1, y1) and (x2, y2) are two points on the line

∵ Line M passes through points (2, -5) and (4, -3)

∴ x1 = 2 and x2 = 4

∴ y1 = -5 and y2 = -3

→ By using the rule of the slope above

∴ [tex]m=\frac{-3-(-5)}{4-2}=\frac{-3+5}{2}=\frac{2}{2}[/tex]

∴ The slope of line M is 1

∵ Line N passes through points (-4, -8) and (-6, -6)

∴ x1 = -4 and x2 = -6

∴ y1 = -8 and y2 = -6

→ By using the rule of the slope above

∴ [tex]m=\frac{-6-(-8)}{-6-(-4)}=\frac{-6+8}{-6+4}=\frac{2}{-2}[/tex]

∴ The slope of line N is -1

∵ 1 × -1 = -1

∴ The product of the slopes of lines M and N is -1

∴ Lines M and N are perpendicular

∴ Yes, the lines are perpendicular because the product of their

   slopes equals -1.

Answer:

  0 < c < 1

Step-by-step explanation:

Descarte's rule of signs tells you the quadratic will have two or zero positive real roots when the sign of c is positive. (c > 0)

The discriminant tells you the quadratic will have real roots when ...

  b² -4ac > 0 . . . . . . where a, b, c are the coefficients of ax² +bx +c = 0

  (-2)² -4(1)c > 0

  1 -c > 0

  c < 1

The equation will have two positive real roots when 0 < c < 1.

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 60}}{\left( \cfrac{25}{100} \right)60}\implies 15[/tex]

about Mark and his Pizzas

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{35\% of 12}}{\left( \cfrac{35}{100} \right)12}\implies 4.2~\hfill \underset{cheaper~price}{\stackrel{12~~ - ~~4.2}{7.80}}[/tex]

Answer: 55 degrees

Step-by-step explanation:

Angle sum of a triangle = 180 degrees

40+85= 125

180-125= 55

a. What percentage of the students do not have a scholarship?

     80% don't have a scholarship

b. How many students have a scholarship?

     800 students

c. How many students don't have a scholarship?

3200 students dont have a schscholarship

Answer:  x = 23

Step-by-step explanation:

The sum of interior angles in a triangles is equal to 180°, therefore:

(2x - 1) + 110 + 25 = 180

1. Get rid of parentheses.

 2x - 1 + 110 + 25 = 180  

2. Add the number up in the left side.

            2x  + 134 = 180

3. Subtract 134 from both sides.

                      2x = 46

4. Divide by 2 from both sides.

                      x = 23

Answer:

x = 10

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent.

∠ E = ∠ B , that is

5x = 50 ( divide both sides by 5 )

x = 10

Answer:

  y = (x/(1-x))√(1-x²)

Step-by-step explanation:

The equation can be translated to rectangular coordinates by using the relationships between polar and rectangular coordinates:

  x = r·cos(θ)

  y = r·sin(θ)

  x² +y² = r²

__

  r = sec(θ) -2cos(θ)

  r·cos(θ) = 1 -2cos(θ)² . . . . . . . . multiply by cos(θ)

  r²·r·cos(θ) = r² -2r²·cos(θ)² . . . multiply by r²

  (x² +y²)x = x² +y² -2x² . . . . . . . substitute rectangular relations

  x²(x +1) = y²(1 -x) . . . . . . . . . . . subtract xy²-x², factor

  y² = x²(1 +x)/(1 -x) = x²(1 -x²)/(1 -x)² . . . . multiply by (1-x)/(1-x)

  [tex]\boxed{y=\dfrac{x\sqrt{1-x^2}}{1-x}}[/tex]

__

The attached graph shows the equivalence of the polar and rectangular forms.

Answer:

D) -54

Step-by-step explanation:

To solve this question, simply plug in -8 for x:

f(-8)=6(-8-1)

f(-8)=6(-9)

f(-8)=-54

Hope this helps!!

Answer:

y=4/3x-2

Step-by-step explanation:

We know the base equation is mx+b and the y-intercept is at -2 so we can determine that as the b value. The m value is 4/3 because if you look at where the line meets the next point is over 3 and up 4 indicating that the m value is 4/3. Hope this helps!

The equation of the line is y = 4/3x -2.

The y-intercept is -2 because the line crosses the y-axis at (0,-2).

The slope is 4/3x because the rise over run of the line is 4/3.

Answer:

[tex]59 + 30c \leq 125[/tex]

2 rooms

Step-by-step explanation:

Given

[tex]Base\ Amount = \$59[/tex]

[tex]Additional = \$30[/tex] per carpet

[tex]Customer\ Budget = \$125[/tex]

Required

Write an inequality to determine the situation

Represent the number of carpets with c

First, we need to determine an expression for the cleaner's charges:

This is:

[tex]59 + 30 * c[/tex]

[tex]59 + 30c[/tex]

Since the customer's budget do not exceed $125.

This implies that the cleaner's charges must be less than or equal to the budget.

So, we have:

[tex]59 + 30c \leq 125[/tex]

Solving further: [Collect Like Terms]

[tex]30c \leq 125 - 59\\[/tex]

[tex]30c \leq 66[/tex]

Divide through by 30

[tex]c \leq 66/30[/tex]

[tex]c \leq 2.2[/tex]

Since number of rooms can't be fraction;

The maximum number of rooms the customer can afford is 2

Answer:

No sé exactamente de qué se trata el ejercicio, hay muchas respuestas posibles

Step-by-step explanation:

Answer: A. Zero

Step-by-step explanation: If the quadratic equation is incomplete, b will always equal 0.

The Square Root Property is used in solving incomplete quadratic equations where b is equal to zero. Then the correct option is A.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

If the value of the a is zero, then the equation will be linear, So the value of the variable a can not be zero.

But the value of the b and c can be zero for a quadratic equation, but the number of the terms will be missing, so the quadratic equation is incomplete.

The Square Root Property is used in solving incomplete quadratic equations where b is equal to zero. Then the correct option is A.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

#SPJ2

Step-by-step explanation:

I guess, the flower bed is a true rectangle, right ?

so, then, the perimeter of that rectangle is

2×length + 2×width = 2×78 + 2×60 = 156 + 120 = 276 in.

1 ft = 12 in

276 in = 23 ft

she can only buy a bundle of 40 ft.

that means she will have

40 - 23 = 17 ft left.

☆▪︎y=-x-4▪︎☆

☆▪︎mark me brainlist ▪︎☆

Answer:2/1

Step-by-step explanation:

Y1-y2/ x1-x2= 2/1

Step-by-step explanation:

[tex]4(m - 15) = 7m + 9[/tex]

[tex]4m - 60 = 7m + 9[/tex]

[tex] - 60 - 9 = 7m - 4m[/tex]

[tex] - 69 = 3m[/tex]

[tex]m = \frac{ - 69}{3} [/tex]

[tex]m = - 23[/tex]

Hello!

4(m-15)=7m+9

4m -60 =7m +9

-60 -9 = 7m -4m

-69 = 3m

3m = -69

m = -69/3

m = -23

Answer:

3 7/10

Step-by-step explanation:

Hope this helps and good luck!

Answer: [tex]3\frac{7}{10}[/tex] or [tex]\frac{37}{10}[/tex]

Step-by-step explanation:

Hey there! I will give the following steps, if you have any questions feel free to ask me in the comments below. Follow these steps I made for you.

Step 1: Convert [tex]8\frac{4}{5}[/tex] to an improper fraction. Use this rule: [tex]a\frac{b}{c} = \frac{ac + b}{c}[/tex].

[tex]\frac{8 * 5 + 4}{5} - 5\frac{1}{10}[/tex]

Step 2: Simplify 8 × 5 to 40.

[tex]\frac{40 + 4}{5} - 5\frac{1}{10}[/tex]

Step 3: Simplify 40 + 4 to 44.

[tex]\frac{44}{5} - 5\frac{1}{10}[/tex]

Step 4: Convert [tex]5\frac{1}{10}[/tex] to an improper fraction. Use this rule [tex]a\frac{b}{c} = \frac{ac + b}{c}[/tex].

[tex]\frac{44}{5} - \frac{50 * 10 + 1}{10}[/tex]

Step 5: Simplify 5 × 10 to 50.

[tex]\frac{44}{5} - \frac{50 + 1}{10}[/tex]

Step 6: Simplify 50 + 1 to 51.

[tex]\frac{44}{5} - \frac{51}{10}[/tex]

Step 7: Find the Least Common Denominator (LCD) of [tex]\frac{44}{5}, \frac{51}{10}[/tex]. In other words, find the Least Common Multiple (LCM) of 5, 10.

LCD = 10

Step 8: Make the denominators the same as the LCD.

[tex]\frac{44 * 2}{5 * 2} - \frac{51}{10}[/tex]

Step 9: Simplify. Denominators are now the same.

[tex]\frac{88}{10} - \frac{51}{10}[/tex]

Step 10: Join the denominators.

[tex]\frac{88- 51}{10}[/tex]

Step 11: Simplify.

[tex]\frac{37}{10}[/tex]

Step 12: Convert to a mixed fraction.

[tex]3\frac{7}{10}[/tex]

~I hope I helped you! :)~

Answer:

Erik uses 8 centimeters of tape to wrap each present.

Step-by-step explanation:

16 centimeters can wrap 2 presents.
24 centimeters can wrap 3 presents.
Add both amounts of tape together to find the total amount of tape used.  Then add the number of presents wrapped together.
16 + 24 = 40 centimeters
2 + 3 = 5 presents
40/5

In order to find how much tape wraps one present, divide both the top and bottom by the denominator (5)
40/5 = 8 centimeters
5/5 = 1 present

Erik uses 8 centimeters of tape to wrap each present.