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2 years ago

Sam has 4 gallons of juice. Each glass holds 1/5 of a gallon . How many glasses can he fill

Mathematics

1 answer:

Softa [21]2 years ago

6 0

Answer:

Step-by-step explanation:

Divide 4 by 1/5 in decimal form, 1/5 in decimal form is 0.20. You can get the decimal form by dividing 1 by 5.

So 4/0.20 = 20.

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Tilda makes a scale model of the Titanic. . The actual Titanic was 175 feet tall, Tilda's model is 35 inches tall. What is the s

Greeley [361]

Answer: 1:60

Step-by-step explanation:

Given

The actual titanic is 175 ft tall

Tilda's model is 35 inches tall

first, convert inches into ft

$35\ in.\equiv \dfrac{35}{12}\ ft$

scale used is

$\Rightarrow \dfrac{\dfrac{35}{12}}{175}\\\\\Rightarrow \dfrac{35}{12\times 175}\\\\\Rightarrow \dfrac{1}{12\times 5}=\dfrac{1}{60}$

Thus, the scale is 1:60

7 0

2 years ago

I will give your brainliest for this please

VashaNatasha [74]

<h2>Answer: Where is the question</h2>

6 0

1 year ago

Find two consecutive integers whose product is 50

GarryVolchara [31]

n, n+1 - two consecutive integers

n(n + 1) = 50 <em>use distributive property</em>

n² + n = 50 <em>subtract 50 from both sides</em>

n² + n - 50 = 0

-----------------------------------------------------

ax² + bx + c =0

if b² - 4ac > 0 then we have two solutions:

[-b - √(b² - 4ac)]/2a and [-b - √(b² + 4ac)]/2a

if b² - 4ac = 0 then we have one solution -b/2a

if b² - 4ac < 0 then no real solution

----------------------------------------------------------

n² + n - 50 = 0

a = 1, b = 1, c = -50

b² - 4ac = 1² - 4(1)(-50) = 1 + 200 = 201 > 0 → two solutions

√(b² - 4ac) = √(201) - it's the irrational number

Answer: There are no two consecutive integers whose product is 50.

3 0

2 years ago

Compare the perimeters of the two regular figures. Which statement is true?

adell [148]

Answer:

(A). The perimeter of the octagon is greater than that of the hexagon.

Step-by-step explanation:

Since, hexagon consists of 6 sides and 6 angles, thus the measure of one angle of the hexagon will be= $\frac{(n-2){\timeS}180^{\circ}}{6}$

= $\frac{(6-2){\timeS}180^{\circ}}{6}$

= $\frac{(4){\timeS}180^{\circ}}{6}$

= $120^{\circ}$

Now, since MQ is the angle bisector of the one of the angle of the hexagon, therefore ∠QMP=60°.

Now, from ΔQMP. we have

$\frac{MP}{MQ}=cos60^{\circ}$

$MP=\frac{1}{2}$

Thus, the perimeter of the hexagon is:

$P=12{\times}MP$

$P=12{\times}\frac{1}{2}$

$P=6 units$

Thus, the perimeter of hexagon is 6 units.

Also, Since, octagon consists of 8 sides and 8 angles, thus the measure of one angle of the octagon will be= $\frac{(n-2){\timeS}180^{\circ}}{8}$

= $\frac{(8-2){\timeS}180^{\circ}}{8}$

= $\frac{(6){\timeS}180^{\circ}}{8}$

= $135^{\circ}$

Now, since AP is the angle bisector of the one of the angle of the octagon, therefore ${\angle}PAC=cos\frac{135}{2}$ .

From ΔAPC, we have

$AC=cos\frac{135}{2}$

Now, Perimeter of octagon is:

$P=16{\times}cos\frac{135}{2}$

$P=16{\times}0.382$

$P=6.122 units$

Thus, the perimeter of octagon is 6.122 units.

Now, the perimeter of octagon is greater than perimeter of the hexagon, thus option A is correct that is The perimeter of the octagon is greater than that of the hexagon.

4 0

2 years ago

HELP ME PLEASE I REALLY COULD USE IT BRAINLY GOES TO THE CORRECT ANSWER

Zanzabum

Answer:

y=x+8

Step-by-step explanation:

In order to get the output (y), you have to add 8 to the input (x).

18 + 8 = 26

35 + 8 = 43

86 + 8 = 94

therefore, x+8=y

8 0

2 years ago

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