Set up a system of equations for the following situation: The girls basketball team spent a total of $1,590 on new basketballs and sweat suits for the players. If each new basketball cost $30 and each sweat suit cost $90, how many of each did the team purchase? *

Answer:1 nickels =$0.05

1 dime= $0.1

Step-by-step explanation:

1 nickels =$0.05

1 dime= $0.1

let the number of nickels be x and that of dimes be y.

total number of coins is given by:

x+y=42

hence:

y=42-x.......i

total amount of cash will be:

0.05x+0.1y=3.30.........ii

substituting i in ii we get:

0.05x+0.1(42-x)=3.30

0.05x+4.2-0.1x=3.3

-0.05x=-0.9

x=-0.9/(-0.05)

x=18

hence the the number nickels is x=18, the number of dimes will be y=42-x=42-18=24

Answer:

No.

Step-by-step explanation:

It is given that Darius is putting tiles on the roof of his house.

Darius had completed = [tex]$\frac{4}{5}$[/tex] th of the work

He takes time = [tex]$3 \frac{1}{3}$[/tex] hours to complete [tex]$\frac{4}{5}$[/tex] th of the work

The remaining work = [tex]$1 -\frac{4}{5}$[/tex]

                                 [tex]$=\frac{5-4}{5}$[/tex]

                                 [tex]$=\frac{1}{5}$[/tex]

∴  Darius completes [tex]$\frac{4}{5}$[/tex] th of the work in = [tex]$\frac{10}{3}$[/tex] hours

                           So, [tex]$\frac{1}{5}$[/tex] th of the work in = [tex]$\frac{10}{3} \times \frac{5}{4} \times \frac{1}{5}$[/tex] hours

                                                                 [tex]$=\frac{10}{12}$[/tex] hours

Therefore total time taken to complete the work [tex]$=\frac{10}{3}+\frac{10}{12}$[/tex] hours

                                                                                  [tex]$=\frac{40+10}{12}$[/tex] hours

                                                                                  [tex]$=\frac{50}{12}$[/tex] hours

                                                                                  [tex]$=4\frac{2}{12}$[/tex] hours

                                                                                  [tex]$=4\frac{1}{6}$[/tex] hours

Thus, Darius continues to work at the same rate will not be able to complete the work in 4 hours.  

Step-by-step explanation:

let the ratio be x

now,

3x+5x+9x+13x=360°(sum of angle of quadrilateral is 360°)

30x=360°

x=360/30

x=12°

then,

3x=3×12=36°

5x=5×12=60°

9x=9×12=108°

13x=13×12=156°

so,the angles of quadrilateral are 36°,60°,108°& 156°

hope it helps.

Answer:

A,G

Step-by-step explanation:

Answer:

50 degrees

Step-by-step explanation:

Answer:

[tex]A' = (0,0)[/tex]

[tex]B'= (9,18)[/tex]

[tex]C'= (21,12)[/tex]

Step-by-step explanation:

Given

[tex]A= (0,0)[/tex]

[tex]B= (3,6)[/tex]

[tex]C= (7,4)[/tex]

[tex]k = 3[/tex] -- dilation factor

Required

Determine the coordinates of the new triangle

This is calculated using:

[tex]New = Old * k[/tex]

So, we have:

[tex]A' = A *3[/tex]

[tex]A' = (0,0) *3[/tex]

[tex]A' = (0,0)[/tex]

[tex]B' = B * 3[/tex]

[tex]B'= (3,6)*3[/tex]

[tex]B'= (3*3,6*3)[/tex]

[tex]B'= (9,18)[/tex]

and

[tex]C' = C * 3[/tex]

[tex]C'= (7,4)*3[/tex]

[tex]C'= (7*3,4*3)[/tex]

[tex]C'= (21,12)[/tex]

Answer:

I believe your answer would be y=1.

Step-by-step explanation:

The circle is located with its point on 1 of the x axis, and the cross section would be pulled straight from that term. So the cross section would need to be revolved around y = 1, instead.

This is just my best guess, so I hope it helps!

To get a sphere, we need to do a revolution around the line x = 1.

The line that we must use must be a line that divides the circle in two equal parts, so it must pass through its center.

We know that the center of our circle is the point (1, 0).

With that in mind, the two lines that we know that will divide the circle in two equal parts are:

(There are more lines, the above two are the simplest ones).

The only one that appears on the options is x = 1, so that is the correct option.

If you want to learn more about circles, you can read:

https://brainly.com/question/25306774

Answer:

Simple, Her Pentagon is not straight

Step-by-step explanation:

Carla's Pentagon is not straight. Her symmetry line is off scale. Simply fix the Line on the pentagon And it will be correct.

Hope this helps ^

We have that the correct Pentagon should have

Symmetry

This can be defined as an exact correspondence between different part of a system .

Therefore it can be said that Carla's Pentagon lacks Symmetry

Where a

Pentagon

is defined as a a shape with five sides and five angles

In this sense the is absolutely nothing with Carla's Pentagon

But if Carla is going for a pentagon with equal sides and and, Then

For more information on this visit

https://brainly.com/question/17054992

Answer: He split it into unequal halves which would make his way wrong. the correct way to do it would be to cut it so all the lines met in the middle of the pie

Step-by-step explanation:

Answer:

2.

gold beads to silver beads

table: 6:9  12:18  24:36  30:45

equivalent ratios: 4:6 10:15 20:30 100:150

3.

A.33

B.1.2

Step-by-step explanation:

2.

the rule is, gold beads x 1 1/2 = silver beads

3.

A. 165/5=33

B.9.60/8=1.2

hope this helps have a blessed day :)

Answer:

70°

Step-by-step explanation:

2x +x + 80° + 70° = 360° { being sum of angles of quadrilateral }

3x + 150° = 360°

3x = 360° - 150°

3x = 210°

x = 70°

Hope it will help :)

Answer:

70

Step-by-step explanation:

Since sum of all angles in a quadrilateral is 360°

angle P+ angle Q + angle R + angle S= 360°

80+70+x+2x=360

3x= 360-150

3x = 210

x = 210/3

x= 70

Cost of a bike Raylin wants to buy = $85

Money Raylin already has = $22

Money she needs :

[tex] = \tt85 - 22[/tex]

[tex] = \tt\$63[/tex]

Thus, money Raylin still needs = $63

Money she gets from doing one chore = 2.50

Number of chores the needs to do :

[tex] = \tt \frac{63}{2.50} [/tex]

[tex]\color{plum} =\tt 25 \: chores[/tex]

Thus, Raylin needs to do 25 chores to be able to buy the bike.

Therefore, the correct option is (d) 25

Step-by-step explanation:  1 will now become a 2, so the answer is 1.2.1,

Answer:

595 pairs of tyres are defective.

Step-by-step explanation:

4.25×28000

____

100

0.0425×28000

1190 Total no. of defective tyres

1190 divide total tyres by 2 to get the exact pairs of defective tyres.

____

  2  

595 tyresof shoes are defective.

Answer: 80%

Step-by-step explanation:

100% chance is normally the most so 100 is our whole. 100-20=80. That being the % makes 80% as the answer. Hope i helped!

ok so as all of the angles in a triangle is 180 so

Answer:

sec A = 5/4

Step-by-step explanation:

Sec of an angle is hypotenuse/adjacent side

In your problem, sec A = 25/20 = 5/4

It helps if you can draw a figure of the problem.  Make sure you memorize the definition of each trig function

Answer:

36 miles.......................

Answer:

[tex]\frac{1}{343}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then

[tex]7^{-3}[/tex]

= [tex]\frac{1}{7^{3} }[/tex] = [tex]\frac{1}{343}[/tex]

Answer:

use for formula a^2+b^2=c^2 to execture

*" ^ "  means square or to the power of two

Step-by-step explanation:

x=12

In a similar the sides of the figure are in proportions. Therefore we can conclude that 16/12=x/9

Then just solve for the equation!

12x=144

x=12

Please give Brainlliest!

Answer:

12

I hope this helps!

Answer:

C or A

thats all i know hope it helps

Answer:47

Step-by-step explanation:

Make a hypothesis that the number is X, so X-14=20+13

X=20+13+14, eventually, you'll get that X=47

But I'm not sure if you mean 13 times more than 20, or just 13 more than 20

Answer:

x-intercept:   -5/2

y-intercept:   15/4

Step-by-step explanation:

to find x-intercept set y = 0

-6x + 4(0) = 15

-6x = 15

x = -15/6

x = -5/2

to find y-intercept set x = 0

-6(0) + 4y = 15

4y = 15

y = 15/4

Answer:

y-intercept is -2.5 and x-intercept is 3.75

Step-by-step explanation:

I posted a photo on how I got this

Hope this helped

Answer:

Step-by-step explanation:

Los movimientos bancarios de Santiago se representan matemáticamente teniendo en cuenta que consignar es sumar y retirar el restar. Por lo tanto podes expresar los movimientos bancarios de la siguiente manera:

Al realizar la sumatoria se obtiene:

 +300.000 - 120.000 - 95.000 + 80.000 = + 165.000

En la semana Santiago obtiene en su cuenta bancaria $165.000

Answer:

Each shirt costs $8 and each pair of pants costs $8

Step-by-step explanation:

3+1=4

32/4=8

2+3=5

40/5=8

Answer:

c. (-1, -2)

Step-by-step explanation:

The solution is the point of intersection of the lines.

Read that point off the graph.

Start from the point where the x-axis and the y-axis intersect. Go left 1 unit. That is x = -1. Now go down 2 units. That is y = -2. The point that has x-coordinate -1 and y-coordinate -2 is the point (-1, -2). That is the solution.

The point is (-1, -2).

Answer: C. (-1, -2)

Answer:

[tex]s^2+11s+15[/tex]

Step-by-step explanation:

Let side length of pool=s

According to question

Length of rectangular deck , l=2s+5

Width of rectangular deck, b=3+s

We have to find the area of deck in terms of s.

We know that

Area of square=[tex](side)^2[/tex]

Area of rectangle=[tex]l\times b[/tex]

Using the formula

Area of pool=[tex]s^2[/tex]

Area of (rectangular deck+ pool)=[tex](2s+5)(3+s)[/tex]

Now,

Area of rectangular deck

=[tex](2s+5)(3+s)-s^2[/tex]

[tex]=6s+2s^2+15+5s-s^2[/tex]

=[tex]s^2+11s+15[/tex]