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Vika [28.1K]
3 years ago
5

Simplify:

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer: 32.5a + 20.47b

Step-by-step explanation:

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Kensington City Cafe recently introduced a new flavor of coffee. They served 28 grande cups
Dmitrij [34]

Answer:

jumbo 23 oz, grande 16 oz

Step-by-step explanation:

Use g for grande and j for jumbo

The first equation: 28g + 33j = 1207

The second equation: 28g + 53j = 1667

Subtract the first from the second

   28g + 53j = 1667

-   28g + 33j = 1207

Equal 20j = 460

j = 23

Put 23 in for j in either equation and solve for g:

28g + 33(23) = 1207

28g + 759 = 1207

28g = 448

g = 16

5 0
2 years ago
A container holds 9 red markers, 13 blue markers, and 17 green markers. You will randomly select two markers without replacement
IRISSAK [1]

Answer:

a.

                         R-------8/38--------RR

R------9/39--------B-------13/38-------RB

                          G------17/38--------RG

                          R-------9/38--------BR

B--------13/39------B-------12/38-------BB

                           G-------17/38-------BG

                             R-----9/38--------GR

G---------17/39-------B------13/38-------GB

                              G------16/38-------GG

b).

  • 9 ways
  • ways you can select 1 blue are; RB,BR,BG,GB

RB=9/39 × 13/38=3/38

BR= 13/39 × 9/38 =3/38

BG= 13/39 × 17/38=17/114

GB= 17/39 × 13/38=17/114

=3/38 +3/38+17/114+ 17/114 =26/57

  • Probability of selecting 2 red markers= RR = 9/39 × 8/38 =12/247

  • Probability of selecting a green marker and then a red marker= GR= 17/39×9/38 =51/494

8 0
4 years ago
Number of Tickets Total Cost 1 $2.50 2 ? 3 $7.50 4 ? 5 $12.50 6 $15.00 7 $17.50 Assuming that the cost of tickets follows the sa
Gala2k [10]
2= 5.50 4= 10.50 here is your answer 
7 0
3 years ago
Help me please. Find the measures of CAD and DAE
VladimirAG [237]

well, we know the "sum" of both angles is 90°, notice the rectangle in the corner, so we can say that the angles are simply complementary angles, thus

\left( \cfrac{3}{2}x+20 \right)+2x=90\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{2}}{2\left( \cfrac{3}{2}x+20 + 2x \right)=2(90)} \\\\\\ 3x+40+4x=180\implies 7x+40=180\implies 7x=140\implies x=\cfrac{140}{7} \\\\\\ x = 20~\hfill \stackrel{\measuredangle CAD}{\cfrac{3}{2}20+20\implies 50}\qquad\qquad \stackrel{\measuredangle DAE}{2(20)\implies 40}

8 0
2 years ago
find the volume of cubical box . if the cost of painting of outer surface is rs 1440 at the rate rs 15 per mcube
bearhunter [10]
Surface of a cubical box=6(side²)

1)We have to calculate the surface of this cubical box.
Rate=cost of painting / surface  ⇒surface=cost of painting/rate

Data:
Rate=$15/m²
cost of painting=$1440

Surface=$1440/($15/m²)=96 m²

2)We find out the length of the side:

Surface of a cubical box=6(side²)

Data:
Surface of a cubical box=96 m2

Therefore:
96m²=6 (side²)
side²=96 m²/6
side²=16 m²
side=√(16 m²)=4 m

3) We find the volume of a cubical box.
volume=(side³)
volume=(4 m)³
volume=64 m³

Answer: the volume of this cubical box would be 64 m³.

3 0
3 years ago
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