⦁ Avery noticed that 9/10 of the apples in a basket are red. There are 45 red apples in the basket. ⦁ Represent the situation with an equation. Use a for the variable. ⦁ Solve the equation in Part (a). Show your work. ⦁ What does the solution of the equation represent in the situation? ⦁

Answers

Answer 1

We want to write and solve an equation that represents the given situation. The equation we will find is (9/10)*a = 45, and its solution is a = 50.

So we know that 9/10 of the apples in the basket are red, and we know that there are 45 red apples.

Then, if we define a as the total number of apples, we know that (9/10) times a must be equal to 45, we can write this as:

(9/10)*a = 45

This is the equation that we must solve.

We can solve this if we multiply both sides by (10/9), it gives;

(10/9)*(9/10)*a = (10/9)*45

a = (10/9)*45 = 50

This means that there are 50 apples in the basket.

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Related Questions

There are 52 grams of carbs in 1/4 cup of syrup for a particular brand. How many carbs are in 1 tablespoons?

Round your answer to the nearest integer.

Answers

There are 13 grams of carbs in 1 tbsp.

A 1/4 cup is 4 tbsp, and 52/4 = 13

There is a total of 52 grams of carbs in 1/4 cup, then 1 tablespoon will contain 208 grams of carbs.

What are arithmetic Operations?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

There are 52 grams of carbs in 1/4 cup of syrup

Let's assume that the amount of carbs in 1 tablespoon is x.

So,

x = (52 × 4)

x = 208 grams.

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A car travels a total distance of 380 miles in a total of 5 hours. The rate the car was traveling during
that time was

Answers

The anwser is 76 mph

Shen borrowed $8000 at a rate of 17%, compounded quarterly. Assuming he makes no payments, how much will he owe after 6 years?​

Answers

224,640
(8,000*1.17)(6*4) due to quarterly interest
(8,009*1.17)(24)
(9,360)(24)
9,360*24=224,640

what is 2*38 i need help

Answers

Answer:

76

Step-by-step explanation:

38 multiplied by 2 = 76

Answer:

76

Step-by-step explanation:

2*38 is as follows

8*2=16

2*30=60

now simply put, 16+60=76

18) Jacob is trying to decide whether to attend akeshore University or Bayside University. He
likes both schools equally, and both schools sent him letters of acceptance. Recently
Lakeshore University raised its tuition by 6%. Which statement is most reasonable in this
situation?
a) Jacob should attend Bayside University since it will be less expensive.
b) Jacob should gather more information about tuition before making a decision.
c) Jacob should not worry about a 6% tuition increase since this is a small percent.

Answers

Answer: B

Step-by-step explanation: Jacob doesn't know either colleges' actual price. Bayside could still be equal to or more expensive than Lakeshore.

A 6pint bucket of paint costs $28.44 what is the price per cup

Answers

Answer:

I think there answer is 4.74

Step-by-step explanation:

so you divide

[tex]6 \div 28.44 \: and \: you \: get \: answer[/tex]

Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !

Answers

Answer:

89) no 90) yes 91) yes 92) yes 93) yes

Step-by-step explanation:

use theorem of Triangle Inequality !! "the sum of two sides of a triangle must be greater than the third side" :)

Add the matrices. Help please

Answers

Answer:

D) [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]

Step-by-step explanation:

You basically add the corresponding entries for each row and column:

[tex]\left[\begin{array}{cc}1&-4&3&5\end{array}\right]+\left[\begin{array}{cc}-2&6&-2&4\end{array}\right]=\left[\begin{array}{cc}1+(-2)&-4+6&3+(-2)&5+4\end{array}\right]=\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex]

Therefore, option D, [tex]\left[\begin{array}{cc}-1&2&1&9\end{array}\right][/tex], is correct.

Whta is the geometric mean of 5 and 36

Answers

Step-by-step explanation: 2 × 18 = 36. Then (as there are two numbers) take the square root: √36 = 6. this is for 36

Answer: 13

Step-by-step explanation:√(5 × 36) = 13.416407865

find the slope
a line that passes between (-5, 8) and (2,4)

Answers

Answer:

Step-by-step explanation:

formula : m=(y2-y1)/(x2-x1)

(4 - 8) / (2 - - 5)

-4 / 7

m = -4 / 7 = -0.57143

Order these numbers from least to greatest.
2.406, 2.46, 2.2061, 2.2

Answers

Answer:

2.2, 2.2061, 2.406, and 2.46

Solve it (Easy question) :
[tex]\lim_{x \rightarrow 1} \cfrac{x {}^{2} - 25 }{x {}^{2} - 5 }[/tex]

Answers

The solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6

The limit expression is given as:

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5}[/tex]

Express 25 as 5^2

[tex] \lim_{x \to 1} \frac{x^2 - 5^2}{x - 5}[/tex]

Express the numerator as the difference of two squares

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} \frac{(x - 5)(x +5)}{x - 5}[/tex]

Evaluate the quotient

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} (x +5)[/tex]

Remove bracket

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = \lim_{x \to 1} x +5\\ [/tex]

Substitute 1 for x

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 1 +5[/tex]

[tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} = 6[/tex]

Hence, the solution to the limit expression [tex] \lim_{x \to 1} \frac{x^2 - 25}{x - 5} [/tex] is 6

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Wildcat Pizza, Inc. is trying to decide whether to revise its target capital structure. Currently, it targets a 50-50% mix of debt and equity, but it is considering a target capital structure with 70% debt. Wildcat currently has 6% after-tax cost of debt and a 12% cost of common stock. The company does not have any preferred stock outstanding

Answers

I don’t understand, explain further.

Sharon wants to buy a shirt that cost $60. The sales tax is 5%. How much is the sales tax. What is her total cost for the shirt?

Answers

5% of 60$ is 3$. So sales tax is 3$. Total cost is 63$

Show all work to solve 2x2 +7x - 4 = 0

Answers

Heyy!!

2x2 + 7x - 4 = 0

4x + 7x - 4 = 0

11x - 4 = 0

11x = 4

x = 4/11

ANSWER: x = 4/11

How can you identify the number of solutions of linear equations?

Answers

Answer:

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

Mark me as brainlist plz :)

557.59 in terms of pi

Answers

the answer for this is 557.9

Use the long division method to find the result when 12x3 + 4x2 - 23x + 10 is
divided by 3x – 2.
-

Answers

Refer to attatchment.

Answer:

4x2+4x-5

Step-by-step explanation:

Hopes this helps

Plz markas brainliest

Michael is saving money to buy a bike. So far, he
has saved $25 which is four-fifths of the total cost
of the bike. How much does the bike cost?

Answers

Let X = total cost of game

 

          (4/5) X = $25

 

Multiply both sides of equation by 5/3

 

   (5/3)(3/5) X = (5/3) $25

 

                   X = $35

What is the slope of a line that is parallel to the line y = 3/4x + 2?




Answers

Answer:

E

Step-by-step explanation:

1+2+2+1

Find the value of .
X
100°
Y
130°
x
66°
w
Z

Answers

The measure for angle W is 80 degree.

What is Trapezium?

A unrestricted polygon or figure with four sides, four corners, and four angles is called a trapezium. Each brace of a trapezium's opposing sides is resemblant to the other.

Similar to other quadrilaterals, the trapezium's four angles add up to 360°. Two of the sides of a trapezium are parallel, and the other two are not. Regular trapezium diagonals cut each other in half.

Given:

We have angles <X= 100, <Y = 130 and <Z= 66.

As, we know that in Trapezium the sum of adjacent angle is 180.

So, <X + <W = 180

100 + <W =180

<W= 180- 100

<W = 80 degree.

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4. You have 36 pairs of running shoes. Let x be the
number of Nikes and y be the number of Adidas shoes
you own. You own twice as many Nikes as Adidas
shoes.
d
Write and solve a linear system of equations to find the
number of each brand of shoes.

Answers

Answer:

Nikes: 24 pairsAdidas: 12 pairs

Step-by-step explanation:

The system of equations can be written ...

  x + y = 36

  x = 2y

__

The system can be solve by substituting for x:

  (2y) +y = 36

  y = 12 . . . . . . divide by 3

  x = 2(12) = 24

There are 24 pairs of Nikes and 12 pairs of Adidas.

What is the value of the fraction below?

Answers

Answer:

undefined.......it's infinity

The value of the fraction:
B) Undefined

2 + 2 = 3
prove me wrong

Answers

Answer:

2+2=4................

Answer:

you are wrong because 2+2=4

subtract 19/12 - 3/4

Answers

◇Answer :

[tex] \rm \frac{19}{12} - \frac{3}{4} = \frac{9}{12} - \frac{9}{12} = \frac{9 - 9}{12} = \frac{0}{12} = \bf0 \: \: (done.)[/tex]

Answer:

[tex]\frac{19}{12} - \frac{3}{4}=\frac{5}{6}[/tex]

Step-by-step explanation:

[tex] \frac{19}{12} - \frac{3}{4} [/tex]

[tex] = \frac{19 \times 4}{12 \times 4} - \frac{3 \times 12}{4 \times 12}[/tex]

[tex] = \frac{76}{48} - \frac{36}{48} [/tex]

[tex] = \frac{76 - 36}{48}[/tex]

[tex]= \frac{40}{48} [/tex]

[tex] = \frac{40 \div 8}{48 \div 8} [/tex]

[tex] = \frac{5}{6}[/tex]

Which function results in f(x)=13?

Answers

Answer:

The answer is B

Step-by-step explanation:

plug 2 into x to see

A.

x^2 + 8

2^2 + 8

4 + 8 = 12

B.

3x^2 + 1

3(2)^2 + 1

3(4) + 1

12 + 1 = 13

C.

2x^3 + 5

2(2)^3 + 5

2(8) + 5

16 + 5 = 21

D.

x^2 + x

2^2 + 2

4 + 2 = 6

Solution A is 40% acid and solution B is 80% acid. How many
liters of each should be used in order to make 100 L of a solution
that is 64% acid?

Answers

Step-by-step explanation:

Solution A is 40% acid and solution B is 80% acid. How many

liters of each should be used in order to make 100 L of a solution

is 64% acid

There should be 40 L of solution A and 60 L of solution B should be added in order to make 100 L of a solution that is 64% acidic.

What is equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, solution A is 40% acidic and solution B is 80% acidic, they are mixed to get a 100 L solution which is 64% acidic.

Establishing the equations,

A+B = 100

A = 100-B.......(i)

40% of A + 80% of B = 64% of 100

0.4A + 0.8B = 64......(ii)

Solving the equations,

0.4(100-B) + 0.8B = 64

40 - 0.4B + 0.8B = 64

0.4B = 24

B = 24/0.4

B = 60

Putting, B = 60 in Eq(i)

A = 100-60

A = 40

Hence, The amount of solutions needed is A = 40 L and B = 60 L.

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C is the midpoint of PQ, if P is (4,m) , C is (n,-1) and Q is (-2,4) then m & n respectively are​

Answers

Given points are P(4,m) and Q(-2,4)

Let (x1, y1) = P(4,m)

Where, • x1 = 4 and • y1 = m

Let (x2, y2) = Q(-2,4)

Where, • x2 = -2 and • y2 = 4

We know that

The coordinates of the mod point of the linesegment joining the points (x1, y1) and (x2, y2)

is M(x,y) = ( {x1+x2}/2 , {y1+y2}/2 )

Mid point of the linesegment PQ

⇛M(x,y) = ( { 4+(-2)}/2 ,{m+4}/2)

⇛M(x,y) = {(4-2)/2 , {m+4}/2)

⇛M(x,y) = (2/2,{m+4}/2)

⇛M(x,y) = (1,{m+4}/2)

According to the given problem

Mid point of PQ = C(n,-1)

M(x,y) = C(n,-1)

(1,{m+4}/2) = (n,-1)

On Comparing both sides then

1 = n and (m+4)/2 = -1

n = 1 and m+4 = -2

n = 1 and m = -2-4

n = 1 and m = -6

Hence, the value of m&n will be (1&-6) respectively.

Additional comment:

The coordinates of the mod point of the linesegment joining the points (x1, y1) and (x2, y2)

is M(x,y) = ( {x1+x2}/2 , {y1+y2}/2 )

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Help me to solve this

Answers

Step-by-step explanation:

first we use Pythagoras to get t :

c² = a² + b²

with c being the Hypotenuse.

so,

t² = r² + s² = 10² + 31² = 100 + 961 = 1061

t = sqrt(1061)

and then we use the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with the angles being opposite of their related sides.

so, r/sin(R) = t/sin(T) = t/sin(90) = t/1 = t

sin(R) = r/t = 10/sqrt(1061) = 0.30700278...

R = 17.8786966... ≈ 17.9°

Multiply:
5m^3 n^5 (25m^6 n)
A. 125m^18n^10
B. 30m^9 n^5
C. 30m^9 n^6
D. 125m^9 n^6

Answers

Answer:

D

Step-by-step explanation:

5m^3 n^5 (25m^6 n)

-->5m^3*25n^6m^6

-->125m^9 n^6

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