Mrs. Perciballi went to the LOFT for a sale and spent $40 on a dress and bought 3 shirts of equal value. Her purchases totaled $115. Define a variable, then write and solve an equation to find how much each shirt cost.​

Answer:

[tex]x=55[/tex]

Step-by-step explanation:

To solve this question you need to know some properties of a parallelogram which is the shape given.

Firstly, remember that in a parallelogram opposite angles are equal.

Secondly, remember that the diagonals of a parallelogram bisect each other.

Lastly, remember that the sum of the interior angles of a quadrilateral or a parallelogram is 360°.

So, by using the first property we can see that because [tex]<[/tex]PQR=70° then [tex]<[/tex]PSR must be equal to 70° as well.

Now, we can use the last property to find [tex]<[/tex]SPQ then, use the second property to find [tex]x[/tex].

Let's name [tex]<[/tex]SPQ, [tex]y[/tex].

and That gives:

[tex]2y+140=360[/tex]

Subtract 140 from both sides:

[tex]2y=360-140[/tex]

[tex]2y=220[/tex]

[tex]y=\frac{220}{2}[/tex]

[tex]y=110[/tex]

So, [tex]<[/tex]SPQ=110 and

Now using the second property we can find that:

[tex]<[/tex]SPQ=[tex]2x[/tex]

And [tex]2x=110[/tex]

[tex]x=\frac{110}{2}[/tex]

[tex]x=55[/tex]

Hope this helped.

Answer:

5x−13=4x−14

Subtract 4x from both sides.

5x−13−4x=4x−14−4x

x−13=−14

Add 13 to both sides.

x−13+13=−14+13

x=−1

Answer:

x=1

Step-by-step explanation:

Answer:

terminating decimal maybe :)

Step-by-step explanation:

Answer:

what goes in the blank space: repeating

Step-by-step explanation:

Any rational number (that is, a fraction in the lowest terms) can be written as either a terminating decimal or a repeating decimal.

Answer:

6.) No, you do not agree with Ted.

7.) x = 34 degrees

Step-by-step explanation:

6.) For a triangle to be valid, it must meet these requirements:

a+b>c

a+c>b

b+c>a

If it fails a single one, then it is invalid.

For example: 6+11 is not greater than 4. Therefor, Ted is incorrect

7.) Though you see a square, or rectangle (whatever you want to call it), you can break it up into 2 triangle, only 1 of which you need to solve for.

We have these clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 is a right angle

Any triangle must have its angles sum to 180 degrees

We also know that right angles are equal to 90 degrees.

Our updated clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 = 90 degrees

angles 1+2+3 must equal 180

So we can make this equation:

x+56+90=180

Add like terms and solve for x:

x = 34

Answer:

Step-by-step explanation:

Garden is in the shape of triangle.

[tex]Area of garden = \dfrac{1}{2}bh = \dfrac{1}{2}*10*6 = 5 *3 = 15 \ m^{2}[/tex]

Drive way:

length = 4 + 10 = 14m

Width = 3 m

Area  = length * width = 14 * 3 = 42 sq.m

Perimeter of the property:

Length = 14 m

Width = 3 + 9 + 6 = 18 m

Perimeter = 2*(length + width) = 2*(14 + 18) = 2 * 32 = 64 m

Answer:

324 ft²

Step-by-step explanation:

Given 2 similar figures with ratio of sides a : b , then

ratio of areas = a² : b²

Here ratio of sides = 3 : 18 = 1 : 6

ratio of areas = 1² : 6² = 1 : 36

That is the area of the larger parallelogram is 36 times the smaller

area of larger parallelogram = 36 × 9 = 324 ft²

Answer: By 9.1%

Step-by-step explanation:

Answer:

8.3333....

Step-by-step explanation:

275/300=1/12

1/12=0.083333...

0.083333...=8.3333%

Answer: 3.33 miles/hr

Step-by-step explanation:

(5 miles)/(1.5 hr) = 3.33 miles/hr

Answer:

yes u would multiply

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

28 divided by 2 = 14

answer = 14

Answer:

see explanation

Step-by-step explanation:

Any coordinate point that lies on the line is a solution , that is

(- 2, 8 ) , (0, 4 ) , (2, 0 ) , (4, - 4 )

Answer:

That is the solution

Step-by-step explanation:

157,00.102,4%=

..........

..........

160,768

Answer:

Jeremy swims 4/5 of a kilometer each day.

Step-by-step explanation:

Since 5 3/5 can be turned into 28/5, then divided by 7/1, you will get 4/5. So Jeremy swims 4/5 of a kilometer each day.

Eli got his answer by multipying 5 3/5 by 7 which was an incorrect process.

Answer:

x=2

Step-by-step explanation:

x= 4/2

x =2

Answer:

0.333...

Step-by-step explanation:

3 out of 9 can be written as 3/9 which reduces to 1/3.

1/3 = 0.333...

Answer:

[tex]49[/tex]

Step-by-step explanation:

[tex]→7×7[/tex]

[tex]→49[/tex]

Answer:

175.62

Step-by-step explanation:

39.2•448=17561.6

17561.6/100=175.616

=175.62

To make a random selection using a random number generator, we could make use of a computer programming to execute the task by following the steps below ;

A.) Using python 3 to generate a random sample of 141 plots :

import random

#import the random module

random_sample = random.sample(range(1410), 141)

#using the sample method, randomly select a sample of 141 plots from the total number of plots, 1410

print(random_sample)

#display the randiy selected plots which is 10% of the total

B.) Choosing the first three plots using the method described in (A)

first_3 = random_sample[:3]

#from the 141 random samples, use list slicing to select the first three plots from the sample

print('\n The first 3 plots are : ' , first_3)

#display the first three sample plots selected.

Learn more :https://brainly.com/question/25083828

Answer:

Step-by-step explanation:

Let the number of student tickets is s and general admission tickets - g.

Set equations and solve:

Double the first equation and subtract from the second to eliminate s:

Find s:

Let the student tickerts and general tickets be x and y respectively

From (1) put in (2)

And

We want to identify different things on the given graph.

The solutions are:

A) (3, -1)

B) x = 4

C) x = y^2 + 2y + 4

D) x ⇒ ∞, y ⇒ ∞

   x⇒3, y⇒ -1

A) The first thing we want to identify is the vertex, we could say that a vertex is a point of symmetry. (like the minimum/maximum of a parabola). Here we clearly do not have a point of symmetry, as we only have half of a parabola, but if it was a complete one, the vertex would be at the blue point, in (3, -1)

B) This is the point where the graph intercepts the x-axis, x = 4.

C) we want to write the equation, we start with the general parabola, this time as a function of y:

x = a*y^2 + b*y + c

Remember that the x-itercept is at x = 4. then c = 4.

x = a*y^2 + b*y + 4

The y-value of the vertex is -1, while the general y-value of the vertex is:

y = -b/2a = -1

And evaluating the equation in this value, gives us:

x = a*(-1)^2 + b*-1 + 4 = 3

Then we have two equations:

-b/2a = -1

a + -b + 4 = 3

We can rewrite the first one as:

-b = -2a

b = 2a

Now we can replace this on the other equation:

a - 2a + 4  =3

-a + 4 = 3

-a = 3 - 4 = -1

a = 1

And b = 2a = 2*1 = 2

Then the equation of the parabola is:

x = y^2 + 2y + 4

D) We can see that as x grows, y increases, so we can say that:

x ⇒ ∞, y ⇒ ∞

And for the other limit we can see that as x tends to 3, y tends to -1, then:

x⇒3, y⇒ -1

If you want to learn more, you can read:

https://brainly.com/question/21685473

Answer:

£56

Step-by-step explanation:

sadly already payed £42 of the price

so 384-42= 342

now she gonna pay the same amount of money every month from what left to be payed

so 342÷6=56

she gonna pay £56 every month for 6months

Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

Given the situation, Sally wants to purchase a dishwasher. The cost of the dishwasher is £384. Sally will make a deposit of £42 and the remaining balance over the course of six equal monthly installments.

Sadly, I've already saved £42 on the purchase.

=384-42

= 342

She will now make equal monthly payments from the remaining balance.

=342/6

=56

Thus, Sally desires to get a dishwasher. The cost of the dishwasher is £384. Sally will put down £42 as a deposit. The remaining balance will be paid in six equal monthly installments. The total amount due each month is £56.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ2

Answer:

A , D , E

Step-by-step explanation:

Substitute x = 2 into f(x) and check if the result is 4

(a)

f(2) = 2² = 4 ← then f(2) = 4

(b)

f(2) = 2 + 6 = 8 ≠ 4

(c)

f(2) = 4(2) + 2 = 8 + 2 = 10 ≠ 4

(d)

f(2) = 2² = 4 ← then f(2) = 4

(e)

f(2) = 8(2) - 12 = 16 - 12 = 4 ← then f(2) = 4

Can you please put a more bigger picture?

Answer:

s = [tex]\sqrt{V/h}[/tex]

Step-by-step explanation:

divide by 'h', then take square root of 's' to get:

s = [tex]\sqrt{V/h}[/tex]

Answer:

Answer:(h) =***************************

(l)=***************

Answer:

∠c = 180 - 3x

Step-by-step explanation:

Triangle interior angles = 180.

Remember this fact:

The sum of the angles of any polygon = (number of sides in the figure - 2)(180)

∠a = x

∠b = 2x

∠c = 180 - 3x