How do you write 7.67 x 102 in standard form?

Answer:

y=3/4

Step-by-step explanation:

4x/3 = x/y

or, 1/y= 4/3

or, y=3/4

Answer:

y = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Express the ratios in fractional form

[tex]\frac{x}{y}[/tex] = [tex]\frac{4x}{3}[/tex] ( cross- multiply )

4xy = 3x ( divide both sides by 4x )

y = [tex]\frac{3x}{4x}[/tex] = [tex]\frac{3}{4}[/tex]

The surface area of the given composite figure will be 384 square cm.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

In the given image we have a composite figure one is a rectangular cuboid and the other is a triangular prism. The surface area will be equal to the sum of all the outer sides of the figure.

The surface area of the triangular shape will be calculated as:-

SA = 2( Area of triangle ) + Area of rectangular surfaces

SA = 2 ( (1/2) B x H )  + (5 x 6 ) + ( 6 x 3  )

SA = ( 3 x 4 ) + (  30 ) + ( 18 )

SA = 12 + 30 + 18

SA = 60 square cm

The surface area of the rectangular cuboid will be calculated as:-

SA = ( 4 x 6 ) + 2 ( 158 x 4 ) + 2 ( 15 X 6 )

SA = 24 + 120 + 180

SA  = 324 square cm

Total surface area will be = 324 + 60 = 384 square cm.

Therefore the surface area of the given composite figure will be 384 square cm.

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9514 1404 393

Answer:

  14

Step-by-step explanation:

If 2/5 of the 35 students are female, their number is ...

  (2/5)(35) = 14

There are 14 female students.

Answer:

The answer would be A.) 4 inches

Step-by-step explanation:

It is A. because if the base of the triangle is 10 inches and one side is 4 then the two sides of the trianlge would be the same they are congruent so if one side of the triangle is 4 then the other side of the triangle is 4.

Hope this helps

Answer:

117.5 cm that the answer on your question

Answer: 4

Step-by-step explanation: 16/4 =4 brainlyest plz plz I need it for my rank

Answer:

a triangle

Step-by-step explanation:

the definition of a triangle is a shape with 3 sides and the shape that is shown has 3 sides.

Answer:

3kg:0.8kg

Step-by-step explanation:

I'm not sure if it's right

For the given condition the age of the son will be 69 years.

A mathematical equation asserts the equality of two expressions, which may or may not contain variables or integers. Equations are fundamental concerns, and efforts to rationally address them have served as the primary driving forces behind the creation of mathematics.

Suppose the two-digit number is x,

The father's and son's ages are 10x+y and 10y+x respectively.According to the given condition,

(10x+y) -(10y+x)=27

9x-9y=27

x-y=27/9

x-y=3

The value of x and y will be 4 and 1.

At x=9 and y=6, the age of the son is obtained as,

=10×6+9

=69 years

Thus, the age of the son will be 69 years.

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Answer:

the answer is b) (10.67,11.93)

Step-by-step explanation:

hope this helps

Answer:

18.84

Step-by-step explanation:

6 times 3.14

= 18.84

Answer:

56.52

Step-by-step explanation:

1/2(π*radius^2)

[tex] \huge \mathfrak{ Answer : - }[/tex]

60 students walk to school, which is 20 % of the total students studying there,

so, let the the total number of students be " x "

now, we know

=》

[tex]20 \% \: \: of \: \: x = 60[/tex]

=》

[tex] \dfrac{20}{100} \times x = 60[/tex]

=》

[tex] \dfrac{1}{5} \times x = 60[/tex]

=》

[tex]x = 60 \times 5[/tex]

=》

[tex]x = 300[/tex]

hence, the total number of students :

x = 300

Answer:

simple answer 300

Step-by-step explanation:

20%=60 students. 100%/20%=5. 60*5=300 students

Answer: first 30 second  is 60

Step-by-step explanation:

Answer:

30,60

Step-by-step explanation:

Answer:

$9

Step-by-step explanation:

The linear system is going to be:

16m + 13s + 29c = $419

26m + 19s + 45c = $649

6m + 11s + 0c = $96

I don't really know why it is bringing up the determinant, all you need to do is put this into reduced row echelon form.  I personally used a calculator for this, but it could be done painstakingly by hand.

RREF gives me:

m=5

s=6

c=9

So a chocolate milkshake is $9

-0.2

'0

-0.2 = - .2 = - 2/10 = - 1/5

so

answer is -1/5

Answer:

-0.2 = -1/5

Step-by-step explanation:

you have to turn the decimal to a fraction.

0.2/1

multiply 0.2/1 by 10/10 which is 2/10

Since the GCF is 2...

You want to divide 2/10 by 2/2

that is 1/5

Now add the negative number sign

BOOM

Now you got yourself -1/5

I hope I helped! :)

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

12x = 36

Step 2: Solve for x

Answer:

A

Step-by-step explanation:

The pattern is blue red blue red

+

The pattern is vertical horizontal vertical horizontal

Answer:

A.

The second figure adds another red horizontal line to the first. The third adds a vertical blue line to the second. The fourth must add a red horizontal line to the third.

Answer:

I do not know the full answer, But I do know this;

Maximum: 62

Minimum: 32

Step-by-step explanation:

Answer:

D. 4 root 113

Step-by-step explanation:

we have to use Pythagorean Theorem which is

a^2 + b^2 = c^2

where a and b are legs of the triangle that are 45° apart and c is the hypotenuse.

now we just plug in our values.

a^2 + (9)^2 = (47)^2

a^2 + 81 = 2209

now we're gonna solve for A (the missing side)

a^2 = 2128

now we square root both sides to undo the square on A

root(a^2) = root(2128)

because 2128 isn't a pretty root, we have to simplify it

a = 4 root(133)

Answer:

The first one I Took the test.

Step-by-step explanation:

Answer:

We all have the same I ready's lol

Anyway, i did it and, The CORRECT answer is:

$4.95

Answer:

I believe it is 9

Step-by-step explanation:

If you turn that into a triangle then find the area it is 9.

Hope this Helps!

Answer:

Think of it as a right triangle. You can use pythagorean theorem.

a^2 + b^2 = c^2

6^2 + 3^2 = c^2

36 + 9 = c^2

45 = c^2

sqrt45 = c

Step-by-step explanation:

Step-by-step explanation:

its the same ratio 4/7

cos(theta) = adjacent /hypotenuse

Answer:

The p-value of the test is of 0.0045 < 0.05, which means that there is enough evidence to reject the null hypothesis and accept the alternate hypothesis that the mean net weight is less than advertised.

Step-by-step explanation:

Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. A representative of a consumer advocacy group wishes to see if there is any evidence that the mean net weight is less than advertised.

At the null hypothesis, we test that the mean is of 14, that is:

[tex]H_0: \mu = 14[/tex]

At the alternate hypothesis, we test tha tthe mean is less than advertised, that is, less than 14. So:

[tex]H_a: \mu < 14[/tex]

The test statistic is:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, s is the standard deviation of the sample and n is the size of the sample.

14 is tested at the null hypothesis:

This means that [tex]\mu = 14[/tex]

For this, the representative randomly selects 16 bags of this brand and determines the net weight of each. He finds the sample mean to be 13.82 and the sample standard deviation to be 0.24.

This means that [tex]n = 16, X = 13.82, s = 0.24[/tex]

Test statistic:

[tex]t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}[/tex]

[tex]t = \frac{13.82 - 14}{\frac{0.24}{\sqrt{16}}}[/tex]

[tex]t = -3[/tex]

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean below 13.82, which is the p-value of t = -3, using a left-tailed test with 16 - 1 = 15 degrees of freedom.

With the help of a calculator, the p-value is of 0.0045.

The p-value of the test is of 0.0045 < 0.05, which means that there is enough evidence to reject the null hypothesis and accept the alternate hypothesis that the mean net weight is less than advertised.