Dots sells a total of 290 T-shirts ($2) and shorts ($4) . In April, total sales were $678. How many T-shirts and shorts did Dots sell?

Answers

Answer 1

Answer:

241 t-shirt and 49 short

Step-by-step explanation:

lets call shorts x and tshirts y

x+y=290 (first equation)

4x+2y=678 (second equation) { we multiply the price of short with the short so we can get the pieces sold and also with the t-shirt to get the pieces sold)

x=290-y

and substitute it with x in the second equation

4(290-y)+2y=678 then till u get to y=241 (the pieces sold)

290-241=49 (pieces sold)

so as proof 49+241=290 pieces sold

as proof also 4*49=196 price of all shorts sold

2*241=482 price of all t-shirts sold then add them together and u will get 196+482=678$


Related Questions

Item 11 Which points divide overline AB into segments with lengths in the ratios 1:3 or 3:1?

Answers

Answer:

(9, 2)

Step-by-step explanation:

What point divides the directed line segment ​ AB¯¯¯¯¯ ​ ⁢ into a 3:1 ratio?

coordinate plane with segment A B with A at (0, 2) and B at (12, 2)

(3, 2)

(4, 2)

(8, 2)

(9, 2)

Solution:

If point O(x, y) divides the line segment AB with endpoints A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2[/tex]) in the ratio n:m, the coordinates of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

Let us assume C(x, y) is the point that divides  segment A B with A at (0, 2) and B at (12, 2) in the ratio 3 : 1. Hence:

[tex]x=\frac{3}{3+1}(12-0)+0=\frac{3}{4}(12)=9 \\\\y=\frac{3}{3+1}(2-2)+2=\frac{3}{4}(0)+2=2[/tex]

Therefore the coordinate of point C is at (9, 2).

The radius of a quarter circle is 3 millimeters. What is the quarter circle's area?
r=3 mm

Answers

Answer:

28.3mm

Step-by-step explanation:

3(3)=9(pi)= 28.274...

Answer: 9[tex]\pi[/tex], or more specifically, 28.26, or even more specifically, 28.2643.

Explanation:

To find the area of a circle, you need to do r squared x pi. Since pi repeats randomly infinitely, we are going to simplify it to 3.14. 3 squared or 3 x 3 equals 9. 9 x 3.14 = 28.26. Therefore, the area of the quarter is 28.26. If you want to find the answer without simplifying pi, it is approximately 28.2643. You can also write it as 9[tex]\pi[/tex].

Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D

a rectangular container, 12 cm long and 10 cm wide, is filled with water to a depth of 5 cm. find the volume of water in the container.
Plz i need help ASAP!!!!
Thank you!

Answers

Answer:

600 cm³

Step-by-step explanation:

12 x 10 = 120

120 x 5 = 600

question should show! if it doesn't let me know

Answers

The shape has 6 faces

Answer:

there are 6 faces

Step-by-step explanation:

there are 4 faces around and 1 on to and 1 on the bottom

which angle is complementary to ∠4?

Answers

it should be about 16 if i remember correctly, hope this helps!

Evaluate the expression 4+x3. When x is 3.

a. 12
b. 36
c. 31
d. 49
??

Answers

Answer:

a

Step-by-step explanation:

The answer to the question is a

1. A company buys a digital scanner for $12,000. The value of the scanner is 12,000 (1 – 3) after n years. The
company has budgeted to replace the scanner when the trade-in value is $2,400. After how many years should the
company plan to replace the machine in order to receive this trade-in value?

Answers

Sorry not sure. :(((((

Write the expression without the fraction bar.

Answers

the answer is y^-1 :) when you have two exponents over a y in a fraction or divison, you always subtract the top from the bottom. hope this helps!

2. Find the value of x to the nearest degree.
A) 68
B) 22
C) 24
D) 66

Answers

Answer:

it would be 66 I hope this helps.


Please hurry! 8. Write in your own words what happens to the
coordinates in a figure when the following occur:
I don’t know how to explain it

Answers


X-Axis
When a figure flips over the X-axis, the X coordinate stays the same while the Y-coordinate’s sign is flipped.

Y- axis

When a figure is flipped over the Y- axis the Y coordinate stays the same while the X axis coordinate’s sign is flipped

Example- (x,y)
X axis flipped
(2,5) —> (2,-5)

Y axis flipped
(3,5) —-> (-3,5)

can anyone help this is confusing??

Answers

Answer:

volume is just defined as multplying all the sides and is alot different from surface area, so it would be 1/5x1/5x/14 which is 1/100

Step-by-step explanation:

Determine the missing side length:
I will give 25 points for the answer!!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

Use Pythagorean theorem

Base²+ altitude² = hypotenuse²

Base² + (√3)²   = (2√3)²

Base² + √3 *√3 = 2√3 *2√3

Base² + 3           = 4*3

Base² + 3           = 12

              Base²  = 12 - 3

              Base²  = 9

              Base    = [tex]\sqrt{9}=\sqrt{3*3} =3[/tex]


Which expressions are equivalent to the given expression?

Answers

Answer:

(a). and (b).

Step-by-step explanation:

Simplify Square Roots -

Find one perfect square and one imperfect square to multiply to the square root.

[tex] \sqrt{4 \times 10} = 2 \sqrt{10} [/tex]

[tex]40^{ \frac{1}{2} } = \sqrt[2]{(40) ^{1} } = \sqrt{40} [/tex]

[tex] \sqrt{40} \neq 4 \sqrt{10} [/tex]

[tex]160 ^{ \frac{1}{2} } = \sqrt[2]{160 ^{1} } = \sqrt{160} \neq \: \sqrt{40} [/tex]

[tex]5 \sqrt{8} \neq \: \sqrt{40} [/tex]

what is the volume of this composite solid?
A. 156 cubic meters
B. 86 cubic meters
C. 136 cubic meters
D. 84 cubic meters

Answers

Answer:86

Step-by-step explanation:I did some math it’s 86 or 156 but I’m pretty sure it’s 86

PLS I NEED RELLAY NEED HELP RIGHT NOW

Answers

Answer:

40%

Step-by-step explanation:

[tex]\frac{8}{20} = \frac{2}{5}[/tex]

[tex]\frac{2}{5} = 0.40[/tex]

0.40 = 40%

I'm losing all my points cause i'm so du.mbbbbbbbb

Answers

Answer:

-1/3

Step-by-step explanation:

-1/2 is the answer and try to don't lose points next time.

Points Q and P on the coordinate grid below show the positions of two midfield players of a soccer team: Coordinate grid shown from negative 4 to positive 4 on x-axis and negative 4 to positive 4 on y-axis. From the origin, point P is 1.5 units to the left and 3 units down. From the origin, Q is 1.5 units to the left and 3 units up Which statement best describes the relationship between the positions of the two midfield players?

Answers

Answer:

yaaaaas i think it is c

Step-by-step explanation:

Answer:

Q is P reflected across the x-axis; only the signs of the y-coordinates of P and Q are different.

Step-by-step explanation:

Hope this helped :)

Find the greatest common factor of 30, 70, and 20.

Answers

The greatest common factor is 10

Answer:

10

Step-by-step explanation:

10 goes into 30, 70, and 20.

Area and radius!! VUGGFYFYTFTYFYTFTYCYTCYTFYT

Answers

Answer:

1. (-2, 3) 7

2. (5, 8) 5

3. (-6, 1/2) 2/3

Step-by-step explanation:

The equation of a circle is (x-h)^2+(y-k)^2=r^2 where the center is at point (h, k) and the r is the radius. Find the values that would fit the numbers in parenthesis to find the center of the circle, and take the squareroot of the number on the right side of the equation to find the radius.

lmk if im wrong, hope this helps!

The answer choices are 11 1 2.48 6

Answers

Answer:

The ball reached its maximum height of ([tex]11\ yards[/tex]) in ([tex]1\ second[/tex]).

Step-by-step explanation:

This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.

The first step in completing the square is to group the quadratic and linear term:

[tex]h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6[/tex]

Now factor out the coefficient of the quadratic term:

[tex]h(t)=-5(t^2 -2t) + 6[/tex]

After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:

[tex]h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6[/tex]

Now take the balancing term out of the parenthesis:

[tex]\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))[/tex]

Simplify:

[tex]h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11[/tex]

The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:

[tex](1, 11)[/tex]

Given the following equation answer each question below.
Is the following a growth or decay?
What is the domain?
What is the range?
What is the y-intercept? (enter answer as a point)
What is the asymptote? (enter answer as an equation)

Answers

Answer:

f(x)=

Step-by-step explanation:

Help please ! ASAP !!!!!!!

Answers

Answer: (-3, -8) (0, 1) (-3, -8)

Step-by-step explanation:

So in the equation, y=3x+1, 1 is the y intercept (which is where the line goes through the y intercept, so graph a point at 0,1 (that also fills out the middle of the chart. 3 is the slope of the equation so then you have to use the slope and you will find 2, 7 as a point and -3, -8 as a point.

Hope that helps! :)

A recipe for banana bread calls for 4 bananas for every 8 cups of sugar. What is the ratio of bananas to cups of sugar

Answers

1:2 is the ratio of bananas to cups of sugar

Answer:

1:2 is the ratio

Step-by-step explanation:

On a coordinate plane, a line goes through (0, 3) and (3, negative 1). A point is at (negative 3, 2).
What is the equation of the line that is parallel to the given line and passes through the point (−3, 2)?

Answers

Answer:

Step-by-step explanation:

Slope of line passing through (0, 3) and (3, -1) = (-1-3)/(3-0) = -4/3

Slope of any parallel to the line is also -4/3.

Point-slope equation for line of slope -4/3 that passes through (-3, 2):

y-2 = (-4/3)(x+3)

Audrey bought one pound of strawberries for $3.20. What is the price, in dollars per ounce of strawberries?

Answers

Answer: $0.20

Step-by-step explanation:

There are 16 ounces in 1 pound, so divide $3.20 by 16 to get the price of dollars/ounce

3.20/16 = $0.20/ounce

Answer:

$0.20 or 20 cents

Step-by-step explanation:

We know she pays $3.20 per pound, and that there are 16 ounces in a pound, so we can just divide to figure it out.

3.20 / 16 = 0.20

We can check our answer by doing the inverse of operations (multiplying)

16 x 0.20 = 3.20

So, she the price for an ounce of strawberries is $0.20 (20 cents). I hope this helps :)

Can someone help me find this

Answers

Answer:

it should be 90 degrees

Step-by-step explanation:

...........................

Select the ratios that are equivalent to 11:1.
Choose 3 answers:
A-1:11
B-22:2
C-55:5
D-9:99
E-110:10

Answers

Answer:

i think the answer is B . 22::2

Triangle DEG is congruent to triangle?

Answers

Answer:

ΔDEG ≅ ΔFGE

Side-Angle-Side

Step-by-step explanation:

DG ║ EF  because DG⊥DE and GF⊥EF

∠DGE ≅ ∠FEG because alternate interior angles of parallel lines are congruent

so Side-Angle-Side proves congruency

Are the ratios 12/30 and 20/50 equivalent

Answers

Yes, it is true. Divide them and you get 12/30=.4 and 20/50=.4.

[tex]\frac{\sqrt[3]{60} }{\sqrt[3]{36} }[/tex]
Please show your work.

Answers

Step-by-step explanation:

[tex]\tt{} \frac{ \sqrt[3]{60} }{ \sqrt[3]{36} } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{5} }{ \sqrt[3]{3} } \times \frac{ \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{ {3}^{2} } } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{5} \sqrt[3]{ {3}^{2} } }{ \sqrt[3]{3} \sqrt[3]{ {3}^{2} } } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{5 \times {3}^{2} } }{ \sqrt[3]{3 \times {3}^{2} } } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{5 \times 9} }{ \sqrt[3]{ {3}^{3} } } [/tex]

[tex]\tt{} \frac{ \sqrt[3]{45} }{3}[/tex]

[tex]\tt{}1.18563[/tex]

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