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3 years ago

11

Find the value of “x”

1 answer:

zepelin [54]3 years ago

5 0

Ur answer will be 55 because it’s a triangle and a triangle has 180 degrees
180-125=55:)

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Three perfect cube blocks of different volumes were stacked on top of each other. The top block was 64 cubic centimeters, the mi

lesya [120]

We know that

[volume of a cube]=b³---------> b=∛Volume
b------> is the side length of a cube

The top block was 64 cm³------> b1=∛64-------> b1=4 cm
The middle block was 125 cm³------> b2=∛125------> b2=<span>5 cm
T</span>he biggest block was 729 cm³------> b3=√729------> b3=<span>9 cm

[</span><span>the stack of blocks tall]=b1+b2+b3-------> 4+5+9-----> 18 cm
</span><span>
the answer is
</span>the stack of blocks was 18 cm tall<span>

</span>

5 0

3 years ago

The sum of two integers is 9 and the sum of their squares is 53. Find the integers.

Schach [20]

X + y = 9 Subtract x from both sides.
y = 9 - x

x^2 + y^2 = 53
x^2 + (9 - x)^2 = 53 Remove the brackets.
x^2 + 81 - 18x + x^2 = 53 Collect the like terms on the left.
2x^2 - 18x + 81 = 53 Subtract 53 from both sides.
2x^2 - 18x + 81 - 53 = 0
2x^2 - 18x + 28 = 0 This factors, but you can see it much easier if you pull out 2 as a common factor.
2(x^2 - 9x + 14) = 0
2(x - 2)(x - 7) =0 You could divide by 2 on both sides. But you can also leave it.
x - 2 = 0
x = 2
x - 7 = 0
x = 7
If x = 2 then y = 7
If x = 7 then y = 2

6 0

3 years ago

What is the equation of a line, in Slope Intercept Form, with a slope of 4 and passes through the point (1, 6)?

Butoxors [25]

The slope-intercept form:

$y=mx+b$

m - slope

b - y-intercept

We have the slope m = 4 → $y=4x+b$

and point (1, 6). Substitute:

$6=4(1)+b$

$6=4+b$ <em>subtract 4 from both sides</em>

$2=b\to b=2$

<h3>Answer: y = 4x + 2</h3>

5 0

3 years ago

Frank purchased a new ice box having 2kg capacity. He wants it to be full with ice cubes. He measured the ice cubes to be 3.5 cm

salantis [7]

Answer:

Frank can put 5 cubes in the box.

Step-by-step explanation:

Formula:

Mass = Volume × density.

1 cubic centimetre = 0.001 liter= 1 millilitre

Given that,

Frank purchase a new ice box having 2 kg capacity.

So,the mass of the cubes is 2 kg.

Each ice cubes measured 3.5 cm by 3.5 cm by 3.5 cm.

The volume of a cube is = $Side ^3$

The volume of a each ice cubes is = $3.5^3$ cm³

= 42.875 ml

The ice cubes have a density of 0.914 g/ml

The mass of each cubes are

=volume of each ice cubes × density

=42.875 ml ×0.914 g/ml

=39.18775 gram.

Let x number of ice cubes he can put in the box.

The mass of x cubes is = 39.18775x grams.

2 kg= 2,000 gram [ since 1 kg= 1000 gram]

According to the problem,

39.18775x=2,000

$\Rightarrow x=\frac{2000}{39.18775}$

$\Rightarrow x\approx 51$

Frank can put 5 cubes in the box.

5 0

3 years ago

Last time, one out of every 4 students in our class was absent. This time, after Jen came back, only one out of every 5 students

VMariaS [17]

Answer: There are 20 students and 4 students are not here today.

Step-by-step explanation:

If the number of students = 4

Let the number of students be 'x'.

Fraction of students absent = $\dfrac{x}{4}$

If the number of students = 5

Fraction of students absent = $\dfrac{x}{5}$

And Jen came back,

So, the fraction of student absent is also written as

$\dfrac{x}{4}-1$

According to question, it becomes,

$\dfrac{x}{5}=\dfrac{x}{4}-1\\\\\dfrac{x}{5}=\dfrac{x-4}{4}\\\\4x=5(x-4)\\\\4x=5x-20\\\\4x-5x=-20\\\\-x=-20\\\\x=20$

Hence, there are 20 students in our school.

And number of students are not here today is $\dfrac{20}{5}=4$

3 0

3 years ago