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stich3 [128]
3 years ago
5

A number plus 5 more than 3 times the number is 37. Find the number

Mathematics
1 answer:
natima [27]3 years ago
3 0
5+3x=37

Step 1
subtract 5 from both sides
3x=32

Step 2
divide by three
x=10.6(repeating)
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They sell cakes for $4 each and spent $45 for advertisement if each cake costs 80 cents to make, how many cakes do they need to
Damm [24]

Answer:

They need to sell 14 cakes to break even.

Step-by-step explanation:

The selling price of each cake = $ 4

The amount spent on the advertisement = $45

The cost of each cake  = 80 cents  =$ 0.8

Let us assume the number of cakes sold to BREAK EVEN  = m

⇒ For m cakes: TOTAL COST = TOTAL EARNED

Now, if the cost of 1 cake  = $0.8

So, the cost of making m cakes  = m X ( cost of 1 cake) = m x ( 0.8) = 0.8 m

Total Cost of m cakes  = Making cost + Advertisement cost

= 0.8 m + $45

⇒C = 0.8 m + 45  ........... (1)

Here, the selling price of 1 cake  = $4

So, the cost of selling m cakes  = m X ( Sell cost of 1 cake)

= m x ( 4) = 4 m

⇒S = 4 m  ........... (2)

To break even: S  = C  ⇒0.8 m + 45  =  4 m

or,  45 = 3.2 m

or, m = 45/3.2 =  14.06≈ 14

⇒ m  = 14

Hence, they need to sell 14 cakes to break even.

6 0
3 years ago
The domain of this function is {-12, -6, 3, 15}. y=-2/3x+7 complete the table based on the given domain.
Nookie1986 [14]

If the domain of the function y=-2/3 x+7 is {-12,-6,3,15} then the range of the function is {15,11,5,-3}.

Given that the domain of the sunction y=-2/3 x+7 is {-12,-6,3,15}.

We have to find the range of the function and complete the table.

Function is relationship between two or more variables expressed in equalto form. In a function each value of x has some value of y.

To complete the table we need to find the value of the function at different values of x.Domain is basically value of  x which satisfies the function.

We have to first put the value of x=-12 in y=-2/3+7

y--2/3*-12+7

=15

Now put x=-6 in the function.

y=-2/3 *-6+7

=3

Put the value of x=3 in the function.

y=-2/3*3+7

=5

Put the value of x=15.

y=-2/3*15+7

=-41/3.

Hence the range of function is {15,11,-41/2,5}.

Learn more about range at brainly.com/question/26098895

#SPJ4

8 0
1 year ago
A volleyball team won 90% of 80 games played how many games did they win(plz write the steps 2 plz)
Gelneren [198K]
The volleyball team won 72 games because 90%, which is also shown as 0.9, multiplied by 80, is 72.

4 0
3 years ago
Justin is using the figure shown below to prove Pythagorean Theorem using triangle similarity: In the given triangle ABC, angle
Natali [406]

Option fourth "By the addition property of equality, AC² plus AB² = BC multiplied by DC plus AB² is correct.

<h3>What is the Pythagoras theorem?</h3>

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

The figure is missing.

The right-angle triangle is shown in the picture; please refer to the picture.

The missing options are attached; please refer to the picture.

We have a right-angle triangle shown in the picture.

The larger triangle ABC is similar to the smaller triangles as follows.

ΔABC ~ ΔDBA     (By AA similarity)

ΔABC ~ ΔDAC   (By AA similarity)

From the above similarity:

AC² or AB²

\rm \dfrac{AB}{BD} = \dfrac{BC}{AB}

After cross multiplication:

AB² = BC×BD

Now,

\rm \dfrac{AC}{CD} = \dfrac{BC}{AC}

AC² = BC×BD

AB² + AC² =  BC×BD + BC×BD

AB² + AC² =  2BC×BD

Thus, the option fourth "By the addition property of equality, AC² plus AB² = BC multiplied by DC plus AB² is correct.

Learn more about Pythagoras' theorem here:

brainly.com/question/21511305

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6 0
2 years ago
Simplify using the horizontal method. (2n^2+4n+4)(4n-5)
xz_007 [3.2K]
Your answer would be 8n³ + 6n² - 4n - 20.

The horizontal method for simplifying binomials is to simply multiply the terms in the first bracket by the terms in the second bracket. Written out, this looks like:

(2n² × 4n) + (4n × 4n) + (4 × 4n) + (2n² × -5) + (4n × -5) + (4 × -5).

Then, we just need to do the operations in the brackets, which gives us:

8n³ + 16n² + 16n - 10n² - 20n - 20

And finally we collect the like terms to simplify, which means doing 16n² - 10n² = 6n², and 16n - 20n = -4n, so the final answer is 8n³ + 6n² - 4n - 20.

I hope this helps!
5 0
3 years ago
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