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WITCHER [35]
3 years ago
6

.

Mathematics
1 answer:
kogti [31]3 years ago
7 0

Answer:

-1, 21

Step-by-step explanation:

The common difference can be found between the last two numbers in the sequence, ie 43-32=11

Therefore, common difference is 11

The sequence shows that it's constantly increasing by 11

-12+11=-1

-1+11=10

10+11=21

21+11=32

32+11=43

Therefore, the missing numbers in the sequence are -1 and 21 as illustrated

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Genna threw 45 grams of sugar into 55 grams of water. She made ___ grams of ___% sugar syrup.
OlgaM077 [116]

Answer:

She made She made 100 grams of 45% sugar syrup.

Step-by-step explanation:

Genna added 45 grams of sugar into 55 grams of water.

Total amount she mixes = 45 + 55 = 100 grams.

Percentage of sugar in total mixture (sugar syrup) = 45 grams sugar in 55 grams syrup.

\text{\% by mass}=\dfrac{\text{mass of solute}}{\text{(mass of solute + mass of solvent)}} \times 100

Here, Solute is sugar  and Solvent is water.

mass of solute = 45

mass of solute + mass of solvent = 100

Putting values, we get,

\text{\% by mass}=\dfrac{45}{100} \times 100

\text{\% by mass}=45\%

Thus, She made She made 100 grams of 45% sugar syrup.

4 0
3 years ago
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a prism has a volume of 512 cubic feet. the width is 8 feet. Could this prism be a cube why or why not
givi [52]

Volume of a cube is S^3

S is the width.

Volume = 8^3 = 512 cubic feet.

Because the volume of a cube with side length 8 feet = 512 cubic feet, the prism could be a cube.

8 0
3 years ago
If 5 pizzas cost $60, how much will 9 pizzas cost?<br> A $98<br> B $108<br> $110<br> D $112
frozen [14]

We can find the cost of ONE pizza, by dividing the price (60) by the amount (5):

60 / 5 = 12.

So each pizza costs 12 dollars, now to multiply that by 9:

12 * 9 = 108.

9 Pizzas cost 108 dollars.

6 0
4 years ago
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Triangle J K L is shown. Angle K L J is a right angle. The length of hypotenuse K J is 10.9 centimeters and the length of L J is
scZoUnD [109]

Answer:

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

Step-by-step explanation:

From the given triangle JKL;

Hypotenuse KJ = 10.9

Length LJ is the opposite = 8.9cm

The angle LKJ is the angle opposite to side KJ = x

Using the SOH CAH TOA Identity;

sin theta = opp/hyp

sin LKJ = LJ/KJ

Sinx = 8.9/10.9

x = arcsin(8.9/10.9)

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

7 0
3 years ago
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PLEAS HELP<br><br><br><br><br><br> What is the distance between (4,7)<br> and (5,72
Trava [24]

Answer:

9

Step-by-step explanation:

Since the y-values are the same, you calculate the absolute value of -5 - 4. That is 9.

5 0
3 years ago
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