Dots sells T-shirts ($5) and shorts ($9). In April, total sales were $570. People bought 2 times as many T-shirts as shorts. How many T-shirts and shorts did Dots sell?

Answers

Answer 1

The number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

What is system of equation?

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

Dots sells T-shirts ($5) and shorts ($9).

In April, total sales were $570. People bought 2 times as many T-shirts as shorts.

Let suppose the number of T-shirts sold is x and shorts sold is y. Dots sells T-shirts ($5) and shorts ($9) with total sales of $570. Thus,

[tex]5x+9y=570[/tex]

Solve it further,

[tex]5x+9y=570\\9y=570-5x\\y=\dfrac{570-5x}{9}[/tex]                  ....1

People bought 2 times as many T-shirts as shorts. Thus,

[tex]x=2y[/tex]                          ....1

Put the value of y form equation in this equation as,

[tex]x=2\times\dfrac{570-5x}{9}\\9x=1140-10x\\10x+9x=1140\\x=\dfrac{1140}{19}\\x=60[/tex]

Put this value of x in equation 2 as,

[tex]x=2\times y\\60=2\times y\\y=\dfrac{60}{2}\\y=30[/tex]

Thus, the number of T-shirts and shorts did Dots sell in the month of April with the total sales of $570 are 60 and 30 respectively.

Learn more about the system of equations here;

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Related Questions

Books cost $6.95 each. Mary had a $5 bill,a$1 bill.and 3 dimes.How much more money does she need to buy one book?

Answers

Answer:

$0.65

Step-by-step explanation:

Given:

Books cost $6.95 each.

Mary had a $5 bill, a $1 bill, and 3 dimes.

To Find:

How much more money does she need to buy one book?

Solve:

Add all Mary money:

5+1+.30

6+.30

=6.30

Now subtract the book cost  by Mary total money.

$6.95-$6.30

=$.65

Hence, Mary needs .65 cents to buy one book.

Kavinsky

Answer: 65 cents 0.65

Step-by-step explanation:

$5 + $1=$6

3dimes= 30 cents

$6 + 30 cents=$6.30

$6.95-$6.30=0.65

1. The mass of lab sample A is 2.4 x 10^-2 kg. The mass of lab sample B is 3.6 x 10^2kg. Given that
information, Jason says that sample B is 15 times the mass of sample A. Narissa asserts that sample B is 15,000 times that of sample A. Julius states that sample B is 1.5 times greater than sample A. Compare the masses of the two samples to decide who is correct. State which person is correct and
explain your answer using mathematics.

Answers

Answer:

Given:

[tex]\textsf{Mass of Sample A}=2.4 \times 10^{-2}[/tex][tex]\textsf{Mass of Sample B}=3.6 \times 10^{2}[/tex]

As the exponent of Sample A is negative, this means that the mass of Sample A is smaller than that of Sample B.

Therefore, to find the proportional relationship between the samples, divide the mass of the larger sample (B) by the mass of the smaller sample (A):

[tex]\begin{aligned}\implies \dfrac{\textsf{Sample B}}{\textsf{Sample A}}=\dfrac{3.6 \times 10^2}{2.4 \times 10^{-2}} & =\dfrac{3.6}{2.4} \times \dfrac{10^2}{10^{-2}}\\\\ & =1.5 \times 10^{(2-(-2))}\\\\& = 1.5 \times 10^4 \end{aligned}[/tex]

To convert the scientific notation [tex]1.5 \times 10^4[/tex] to a decimal, move the decimal point to the right 4 places:

[tex]\implies 1.5000 \times 10^4=15000[/tex]

(If the exponent is positive, move the decimal point to the right.  If the exponent is negative, move the decimal point to the left. The number of places to move the decimal point is the numerical value of the exponent).

Therefore, the mass of sample B is 15,000 times the mass of sample A, so Narissa is correct.


Each vertex of a quadrilateral is dilated by a scale factor of about the
point P (-7, 4). What will be the effect on the perimeter of the resulting lens
figure?

Answers

Answer:

write an article for publication in the daily graphic on the topic every school must have a library

6!
type in expanded form and multiply

Answers

Answer:

see below

Step-by-step explanation:

6!    is    six factorial

   =   6 x 5 x 4 x 3 x 2 x 1  = 720

please help me in this question please ​

Answers

Answer:

Can you please write the question given to answer the graph

The state of Connecticut is approximated by a rectangle 100 mi by 50 mi.
Hartford is approximately at the center of Connecticut. If a meteor hit the
earth within 200 mi of Hartford, find the probability that the meteor landed in
Connecticut.

Answers

Answer:

  4.0%

Step-by-step explanation:

If we assume that potential impact sites are uniformly distributed over the area, the probability of interest is the ratio of the area of Connecticut to the area of the circle within 200 miles of Hartford.

__

area of circle

The area of a circle with radius 200 miles is ...

  A = πr²

  A = π(200 mi)² = 40000π mi² ≈ 125,664 mi²

area of CT

The area of a rectangle 100 miles by 50 miles is ...

  A = LW

  A = (100 mi)(50 mi) = 5000 mi²

probability

The probability of interest is the ratio of these areas:

  p(impact in CT) = (5000 mi²)/(125664 mi²) ≈ 0.03979

The probability the meteor landed in Connecticut is about 4.0%.

Which of these is not a property of a Parallelogram?
a) Opposite Sides Congruent
b) Opposite Angles Congruent
c) Diagonals Bisect Each other
d) Diagonals Congruent

Answers

A parallelogram is a quadrilateral or a flat shape with opposite sides parallel. Squares, Rhombuses, and Rectangles are few example of Parallelogram.

Explanation:

There are six important properties of a parallelograms:

The opposite side of a parallelogram is always equal.The opposite angle of a parallelogram are congruent.The consecutive angles of a parallelogram are supplementary.In a parallelogram if one angle is right then all the angles are right.The diagonals of parallelogram bisect each other.Each diagonal of a parallelogram separates it into two congruent triangle.

The answer to the above question is (D) Diagonals Congruent

Answer:

D

Step-by-step explanation:

Because these are the 7 properties of a parralelgrom

Opposite sides are parallel.

Opposite sides are congruent.

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary. .

Each diagonal of a parallelogram separates it into two congruent triangles.

The diagonals of a parallelogram bisect each other.

Help please!!!!!!!!!!!!!!!!!

Answers

Answer:

A^2 +b^2 = c^2

8^2 + 13^2

64 + 169

233

233 = c^2

so we find the square root of 233

answer is 15.26

Answer:

15.26

Step-by-step explanation:

The Pythagorean theorem

The Pythagorean theorem is used to find missing side lengths in a right triangle (  a triangle with a right angle or 90 degree angle , note that this only works with right triangles ). In order to use the Pythagorean theorem we must have 2 given side lengths.

The formula of the Pythagorean theorem is

a² + b² = c²

Where a and b = base lengths and c = hypotenuse ( longest side )

Solving for the missing side

Here, we are given two side lengths, more specifically the two legs and we need to find the missing side which is the hypotenuse.

To do so, we plug in what we are given ( a = 8 and b = 13 ) and solve for what we need to find ( c )

Plugging in what we are given

Given:

a = 8 , b = 13

Formula : a² + b² = c²

==> plug in values

8² + 13² = c²

==> simplify exponents

64 + 169 = c²

==> add 64 and 169

233 = c²

==> take the square root of both sides

c = 15.26 ( rounded to two decimal places )

And we are done!

please help will mark Brainliest!!​

Answers

the answer is the last one

So i tried sloving number b but when i add them i got 25.05 pls help me who will give me how to slove it i will mark the brainlist

Answers

Answer:

Original price = t = $24

Expression = t + 0.05t

—-

New price = t + 0.05t = 24 + (0.05*24) = $25.20

—-

Have a nice day!!

Answer:

$25.20

Step-by-step explanation:

Original price = t = $ 24

New price = 1.05*24

                 = 25.20

Just multiply 1.05 by 24

The parabola y = -(x − 3)² + 6 has its focus at (3,1). Determine and state the equation 20 of the directrix.​

Answers

well, tis noteworthy that the equation of the parabola above is already in vertex form, which means its vertex is at (3 , 6) and its focus point is at (3 , 1).

now, the focus point is below the vertex, meaning is a vertical parabola opening downwards, like a hump.

[tex]\textit{vertical parabola vertex form with focus point distance} \\\\ 4p(y- k)=(x- h)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h,k+p)}\qquad \stackrel{directrix}{y=k-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{"p"~is~negative}{op ens~\cap}\qquad \stackrel{"p"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]y=-\cfrac{1}{20}(x-3)^2+6\implies y-6=-\cfrac{1}{20}(x-3)^2\implies \stackrel{4p}{-20}(y-\stackrel{k}{6})=(x-\stackrel{h}{3})^2 \\\\\\ 4p=-20\implies p=-\cfrac{20}{4}\implies p=-5[/tex]

the focus point must be a negative distance since the parabola is opening downwards, and the directrix is across the vertex at "p" distance, Check the picture below.

PLEASE HELP!!!

Which point is tangent to the circle?

A

D

M

Q

Answers

A is the answer……………….

What calculation is modeled on the number line?
++++
--1
-1
0
12
1
- + (-15) = -2
- +(-1) = -1
- + (-5) = -1
+
- (금)-1
10
10
10
I will give 100 points pls ASAP!

Answers

Answer:

3rd option (bottom left)

Step-by-step explanation:

May I know the values of x and y of the following equation?
(5-3i)(x-yi) = 3(x+2yi)+1-2i​

Answers

Answer:

  (x, y) = (17/31, 1/31)

Step-by-step explanation:

Simplify the given equation, then equate real parts and equate imaginary parts. This will give you two equations in the two unknowns.

__

simplify

  (5 -3i)(x -yi) = 3(x +2yi) +1 -2i

 5x -5yi -3xi +3yi² = 3x +6yi +1 -2i

  (5x -3y) +i(-5y -3x) = (3x +1) +i(6y -2)

equate real, imaginary parts

This resolves to the two equations ...

5x -3y = 3x +1-5y -3x = 6y -2solve the system

Putting these equations into general form gives ...

  2x -3y -1 = 0

  3x +11y -2 = 0

Using the "cross multiplication method" to solve these equations, we get ...

  x = ((-3)(-2) -(11)(-1))/(2(11) -3(-3)) = 17/31

  y = ((-1)(3) -(-2)(2))/31 = 1/31

The values of x and y that satisfy this equation are ...

  (x, y) = (17/31, 1/31)

_____

You can read more about the cross multiplication method here.

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The diameter is 57 cm what is the radius and area write your solution below

Answers

Answer: radius: 28.5

area: 2551.76

Step-by-step explanation:

radius is always half of the diameter and area is pi(r^2)

the radius is always half the diameter, d=28.5

There are 7 balls in the bag: 3 blue, 2 red and 2 white. What is the probability that one would pick two balls of the same colour?

Answers

Answer:

5/21.

Step-by-step explanation:

Total number of balls = 7.

Prob(Blue on first pick) = 3/7

Prob(Blue on second pick) = 2/6 = 1/3

So Prob( 2 Blue's) = 3/7 * 1/3 = 3/21 = 1/7.

Prob(Red on first pick) = 2/7

Prob(Red on second pick) =  1/6

So Prob( 2 Red's) = 2/7 * 1/6 = 1/21.

Now the Probability of getting 2 white balls is the same as for the red balls

= 1/21.

Finally, the probability of 2 balls of the same colour

= 1/7 + 1/21 + 1/21

= 3/21 + 1/21 + 1/21

= 5/21.

the probability of picking two balls of the same color is 5/21.

To calculate the probability of picking two balls of the same color, we need to consider all the possible combinations of drawing two balls from the bag and then determine how many of those combinations result in both balls being the same color.

Total number of balls in the bag = 7

1. Probability of picking two blue balls:

Number of blue balls = 3

Probability of picking the first blue ball = 3/7

Probability of picking the second blue ball (after one blue ball has been picked) = 2/6 (since there are 2 blue balls left after one has been picked)

Total probability of picking two blue balls = (3/7) * (2/6) = 6/42 = 1/7

2. Probability of picking two red balls:

Number of red balls = 2

Probability of picking the first red ball = 2/7

Probability of picking the second red ball (after one red ball has been picked) = 1/6 (since there is 1 red ball left after one has been picked)

Total probability of picking two red balls = (2/7) * (1/6) = 2/42 = 1/21

3. Probability of picking two white balls:

Number of white balls = 2

Probability of picking the first white ball = 2/7

Probability of picking the second white ball (after one white ball has been picked) = 1/6 (since there is 1 white ball left after one has been picked)

Total probability of picking two white balls = (2/7) * (1/6) = 2/42 = 1/21

Now, we add up the probabilities of picking two balls of the same color:

Total probability = Probability of two blue balls + Probability of two red balls + Probability of two white balls

Total probability = 1/7 + 1/21 + 1/21

Total probability = (3 + 1 + 1)/21

Total probability = 5/21

Therefore, the probability of picking two balls of the same color is 5/21.

Learn more about probability here

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HELP AND I WILL GIVE YOU BRAINLIST! ANSWER CORRECTLY PLEASE.



Complete the sentences about simplifying this expression.

Answers

Answer:

Step-by-step explanation:

First step is to solve the numerator

so the fraction is 29/10/29

so the whole expression is 1/10

Answer: Solve the numerator, numerator and denominator are equal, expression equals 13

Step-by-step explanation:

13 x (5.6-2.7/2.9)

1. The first step; solve the numerator (5.6-2.7=2.9)

2. The numerator and dominator are equal, so the whole expression equals 13 (2.9/2.9 = 1 --> 1*13 = 13)

Help! Is my working correct/wrong? If my working is wrong, sorry to trouble you but can you pls correct it?

THANKS IN ADVANCE!!
NONSENSE = REPORT

NO ALGEBRA! PLEASE! THANKS!!!!!​

Answers

Answer:

∠ e = 20°

Step-by-step explanation:

you should have also subtracted 2e from the 360

since UV is a straight line, the angles lying on it sum to 180° , that is

90° + e + 70° = 180°

e + 160° = 180° ( subtract 160° from both sides )

e = 20°

change this to an improper fraction 3 1/8

Answers

Answer: 25/8

Step-by-step explanation:

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

Change 3+1/8 to an improper fraction.

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

First, multiply the whole part (3) times the denominator (8):-

[tex]\bold{3\times8=24}[/tex]

Now add the numerator:-

[tex]\bold{25}[/tex]

That's the numerator of the improper fraction, and the denominator stays the same.

[tex]\bigstar[/tex] Therefore, the fraction is

[tex]\bold{\dfrac{25}{24}}[/tex]

Good luck.

[tex]\rule{300}{1}[/tex]

The question asks too state if the triangles in each pair are similar. Did i do it right? please help i have my test tmr

Answers

Answer:

Unfortunately they are not simmilar because 9 is not similar to 80 but to 90, they would be similar if the triangle was 40, 70 and 90, know what I mean?

Step-by-step explanation:

A home has three bedrooms, 2 baths, a pool, and an attached workshop. The asking price is $ 450,000; the square footage is 2,255 sq ft. What is the price per square foot?

Answers

Answer:

$ 199.56 per sq ft

Step-by-step explanation:

price / ft^2    =    450 000 / 2255 = 199.56

Workers Inc. just bought 12 boxes of pens to put in their storage room for employees to use as needed. Each box contains 35
pens. If each of the 25 employees working for Workers Inc. takes 3 pens when they are first brought into the office, how many pens
will be left in the storage room?
A. 417
B. 395
C. 345
D.195

Answers

Answer:

C. 345

Step-by-step explanation:

first you multiply 25 and 3. and get 75

next multiply 12 and 35. and get 420

finally subtract the two and get 345

Tyler simplified the expression x³y9. His procedure is shown below.
1
31/1
³y-9
What is Tyler's error?
Both powers should be in the numerator with positive exponents.
Both powers should be in the denominator with positive exponents.
The power
The power
should be in the numerator and the power y9 in the denominator.
should be in the numerator and the power x3 in the denominator.

Answers

Answer:

  (b) both powers should be in the denominator with positive exponents

Step-by-step explanation:

The applicable rule of exponents is ...

  a^-b = 1/a^b

__

The correct simplification is ...

  [tex]x^{-3}y^{-9}=\dfrac{1}{x^3}\cdot\dfrac{1}{y^9}=\boxed{\dfrac{1}{x^3y^9}}[/tex]

Both variables should have positive exponents in the denominator.

Find the surface area of the prism.
4cm
,
3cm
A
6cm
--
5cm
Surface Area = [ ]cm2

Answers

Answer:

60cm²

Step-by-step explanation:

2(1/2×4×3)+(3×6)+(5×6)

ANSWER THIS CORRECTLY FOR BRAINLIEST (algebra)

Answers

Answer:

v = 29647.79 cu.ft.

Step-by-step explanation:

[tex]v=\frac{4}{3} \pi r^{3}\\ r=19.2[/tex]

[tex]v=\frac{4}{3} \pi (19.2)^{3} =29,647.79 cu.ft[/tex]

Hope this helps

Answer:

29632.76 cubic feet

Explanation:

volume of sphere: 4/3 π(radius)³

Here given:

radius: 19.2 ft

Volume:

4/3 π(radius)³

insert values

4/3 (3.14)(19.2)³

simplify

29632.7577

rounded to nearest hundredth

29632.76 cm³


A square of area 169 cm² is transformed into an equilateral triangle. What is the perimeter, in
cm, of the triangle?

Answers

Answer:

39cm

Step-by-step explanation:

area of square = side^2 =169

side = 13cm

Perimeter of triangle = 3*side

=3 * 13 = 39cm

Answer:

52

Step-by-step explanation:

√169 =13

13*4= 52 because the perimeter of the square is equal to the perimeter of the triangle

what is 3 to the square root of 1089

Answers

3 to square root of 1089 is

5.5590606e+15

find the answer of given photo

Answers

The skewness of the plot is positive skewness, and the equation of the regression line is y = -0.052x + 2.706

The mean, standard deviation, min, max, etc.

To do this, we make use of the following data values

15, 16, 16, 17, 17, 17, 20, 22, 22, 30

The mean is calculated using:

Mean = Sum/Count

So, we have:

Mean = (15+ 16+ 16+ 17+ 17+ 17+ 20+ 22+ 22+30)/10

Evaluate

Mean = 19.2

Using a graphing calculator, we have:

Standard Deviation, σ = 4.30

The min and the max are:

Min = 15

Max = 30

See attachment for the histogram.

From the attached histogram, we can see that the skewness of the plot is positive skewness

The percentage area between min and max expenses.

The min and the max values are the range of the normal plot.

So, the percentage area between these values is 100%

Inspect three samples

Let the three samples be

16, 17, and 30

The sample mean is:

Mean = Sum/Count

So, we have:

Mean = (16 + 17 + 30)/3

Evaluate

Mean = 21

The sample mean is different from the population mean

Since the means are not equal, then we fail to accept the Null hypothesis.

The correlation coefficient

To do this, we make use of a graphing calculator with the following calculation summary:

X Values

∑ = 120Mean = 20∑(X - Mx)2 = SSx = 154

Y Values

∑ = 10Mean = 1.667∑(Y - My)2 = SSy = 3.333

X and Y Combined

N = 6∑(X - Mx)(Y - My) = -8

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = -8 / √((154)(3.333)) = -0.3531

The correlation coefficient -0.3531 means that there is a negative correlation between the data values

The equation of the Regression line

To do this, we make use of a graphing calculator with the following calculation summary:

b = SP/SSX = -8/154 = -0.05195a = MY - bMX = 1.67 - (-0.05*20) = 2.70563

So, we have:

y = -0.052x + 2.706

Hence, the equation of the regression line is y = -0.052x + 2.706

See attachment 2 for the scatter plot.

Read more about scatter plots and histograms at:

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Solve for x and find the degree of the other two angles.
m<2 = 9x + 6

Answers

Answer:

x = 7 and the degree of other two angles is 69.

Step-by-step explanation:

As we can see it is an isosceles triangle so base angles of an isosceles triangle are equal so

9x + 6 + 9x + 6 + 42 = 180 (being sum of angles of triangle )

18x + 54 = 180

18x = 180 - 54

18x = 126

x = 126/18

x = 7

the degree of the other two angle is

= 9*7 + 6

= 69

Hope it helps :)

A 100 N boxer punches a 10 kg punching bag with his fist using a 25 N force. Describe the
forces on the fist and the punching bag.
A) The force on the fist is greater than the force on the punching bag.
B) The force on the fist is equal to the force on the punching bag.
C) The force on the fist is smaller than the force on the punching bag.
D) Not enough information is given to determine which force is larger or smaller

Answers

Answer:

B

Step-by-step explanation:

B is the answer to your question

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