What is the value of the expression?

(514−212)+(623−312)

Enter your answer as a mixed number in simplest form by filling in the boxes.

Erica used 50 pounds of type B coffee

Let the number of pounds of type A coffee be A

Let the number of pounds of type B coffee be B

Total number of pounds = 123

A   +  B   =   123.........................................(1)

Cost of 1 pound of type A coffee = $5.95

Cost of 1 pound of type B coffee = $4.40

Total cost = $654.35

5.95A  +  4.40B = 654.35..........................(2)

Make A the subject of the formula in equation (1)

A  =  123  -   B........................(3)

Substitute equation (3) into equation (2)

5.95(123 - B)  +  4.40B  =  654.35

731.85  -  5.95B  +  4.40B  =  654.35

5.95B  -  4.40B  =  731.85 - 654.35

1.55B   =   77.5

B   =  77.5/1.55

B   =   50

Erica used 50 pounds of type B coffee

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Answer:

Step-by-step explanation:

16x + 8y = 20.88

12x + 4y = 13.40

Solve for x and y

x is the cost of 1 pen

Answer:

Solved: w = 2  

Step-by-step explanation:

Combine like terms

5w+4w = 9w

Isolate or make w alone

9w= 18 so divide both sides by 9 to make w alone

9w ÷ 9 = w

18 ÷ 9 = 2

w = 2

Answer:

you just add 5w and 4w and taht is 9w

[tex]9x = 18 \\ w = 18 \div 9 \\ w = 2[/tex]

Step-by-step explanation:

6/15 = 12/30 = 24/60 = 48/75

Answer:

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

The proportion is solved and the number of muffins is M = 16

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the proportion be represented as A

Now , the value of A is

The ratio of cookies to muffins made at The Berry Bakery is 3 : 4

Now , the number of cookies is = 12

So , the proportion is

3 / 4 = 12 / M

Multiply by M on both sides , we get

( 3/4 )M = 12

Divide by 3/4 on both sides , we get

M = 16 muffins

Hence , the number of muffins is 16

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Answer:

To convert 15 inches to yards you need to divide 15 by 36 to get 41.67 yards tep-by-step explanation:

Answer:

When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. For scale factor k, the algebraic representation of the dilation is (x, y) → (kx, ky). For enlargements, k > 1.

Answer:

C

Step-by-step explanation:

because acute angles have to be less than 90 degrees so therefore it's C.

Answer:

it would be c 78 degrees because under 90 degrees makes a acute angle anything that is under 90 degrees makes acute and anything over 90 degrees makes obtuse angle so c

Step-by-step explanation:

Answer:

-9 would be your y-intercept

Step-by-step explanation:

Have a great rest of your day

#Nova

Answer:

B) x=2y + 16

Step-by-step explanation:

First, you'd multiply the x/2 by 2 to get x by itself.

You do the same throughout the whole equation.

Then isolate the x by getting rid of the -16 to the other side by adding 16

Your final answer should be:

B) x=2y + 16

The value of x for the given equation x/2 - 8 = y will be x = 2y + 16 thus option (B) is correct.

A formula known as an equation uses the same sign to denote the equality of two expressions.

In another word, the equation must be constrained with some constraints.

As per the given equation,

x/2 - 8 = y

Add 8 both sides,

x/2 - 8 + 8 = y + 8

x/2 = y + 8

Multiply by 2 both sides,

x/2 × 2 = (8 + y) × 2

x = 2y + 16

Hence "x = 2y + 16 will be the value of x in the equation x/2 - 8 = y".

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Answer:

Definitely not equivalent.

Exponent rules state that whenever you multiply terms with the same power, you add the powers together and multiply the coefficients.

x^3*3*3 is equivalent to something like ((x^3)^3)^3 or x^27

x^3 * x^3 * x^3 would be x^3+3+3 or x^9

Answer:

no

Step-by-step explanation:

y = 8x

Try (7, 7).

Is 7 = 8(7)?

Is 7 = 56?

The answer is no, so the point (7, 7) does not satisfy the equation y = 8x.

The product of a rational number and an irrational number is an irrational

number.

The correctly completed proof is presented as follows;

To prove that 4·π is irrational, with the assumption that, 4·π = [tex]\displaystyle \frac{a}{b}[/tex], where b ≠ 0. Which by isolation of π gives π = [tex]\displaystyle \mathbf{ \frac{a}{4 \cdot b}}[/tex].

The right side of the equation is irrational, because the left side of the

equation is irrational, this is a contradiction.

Therefore, the assumption is wrong and the number 4·π is irrational.

Reasons:

The proof is presented as follows;

With the assumption that 4·π is rational, we have;

[tex]\displaystyle 4 \cdot \pi = \mathbf{\frac{a}{b}}[/tex]

Where;

b ≠ 0

Making π the subject of the above formula, by isolating, it, we have;

[tex]\displaystyle \pi = \mathbf{\frac{a}{4 \cdot b}}[/tex]

The right side of the equation is rational, however, the left side of the

equation π is irrational, which results in a contradiction, therefore, the

product 4·π is an irrational number.

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Answer:

Answer:

x = 46°

Step-by-step explanation:

The sum of interior angles = (n-2) × 180°

= (5-2) × 180°

= 540°

2x+3x+3x-4+3x+x-8 = 540°

12x = 552°

x = 46°

Answer:

#1= 5

#2= i think it's a red square

#3= 243

Step-by-step explanation:

ok so im rlly sorry but i think i can only solve 1 2 and 3:

for #1:

the pattern is subtracting 1,2,3,4 each time it goes to the next number.

29-28=1

28-26=2

26-23=3

23-19=4

19-?=5

?=14

19-14=5

so answer would be 5

for #2:

the pattern goes red triangle, red square, blue triange, blue square, red triangle, etc.

so with it continuing on, it would be red square

for #3:

the pattern looks like they're multiplying by 3 each time:

3x3=9

9x3=27

27x3=81

81x3=?

?=243

81x3=243

so the answer would be 243

hope this helped :)

Answer:

Real number

Step-by-step explanation:

Unless it has an i with it then it's an imaginary number but because it doesn't have an i with it it's real

Answer:

real number

Step-by-step explanation:

Hi! -4 is a real number because imaginary numbers are characterized as i= sqrt -1

If you see a number with an i in it, then it is imaginary. In this case, however, we have a real number.

I hope this helps!

Answer:

Both are false

Step-by-step explanation:

When you dilate something by a number >1 it gets larger.

Answer:

84.21%

Step-by-step explanation:

When working with percentages, one must cross multiply and divide

first you set up your numbers in fraction form…

[tex]\frac{16}{19} \frac{x}{100}[/tex]

now you multiply the two number you do have (16 and 100)…

[tex]16*100\\ 1600[/tex]

then divide by the other number that is known (19)…

1600÷19≈84.21

hope this helps!

Answer:

The car value is 9100

Step-by-step explanation:

you multiply 3 1/2 times 2600 and you get 9100, which is the value of the car.

hope that helps!

Answer: xy1 = (6,-5) and xy2 = (-5,6), pls give brainliest if this solution helped you

Step-by-step explanation:

Answer:

if its easy then answer it .-.

Step-by-step explanation:

Answer:

u =-3

Step-by-step explanation:

Answer:

y=4x+5

Step-by-step explanation:

Answer:

  (x, y) ⇒ (-x +5, -y +2)

Step-by-step explanation:

Rotation 180° is described by ...

  (x, y) ⇒ (-x, -y)

Translation right 5 and up 2 is described by ...

  (x, y) ⇒ (x +5, y +2)

The two transformations together that map P to R are described by ...

  (x, y) ⇒ (-x +5, -y +2)

Answer:

512

Step-by-step explanation:

64 × 8 = 512

512

64 8

16 4 2

8 2 2 1

Answer:

6/7

Step-by-step explanation:

Answer:

90,000

Step-by-step explanation:

3750ml/hr *24 hrs

Therefore, A leaking tap will waste 90000 ml in a day.

Hoped this helped

[tex]BrainiacUser1357[/tex]

Answer:

400

Step-by-step explanation:

i think

By calculating the distance of a star to the Sun, astronomers can calculate the distance from Earth to the star.

Reasons

The given parameters are;

The distance from the star to the Sun = d

The angle formed by the ray to the Sun and the ray to Earth from the star, θ = 0.00001389 degrees

The average distance from Earth to the Sun = 1 AU

By trigonometric ratios, we have;

[tex]\displaystyle tan(\theta) = \mathbf{\frac{Opposite}{Adjacent}}[/tex]

Therefore;

[tex]\displaystyle tan(\theta) = \frac{1}{d}[/tex]

The expression to calculate for d for any star is therefore;

The angle given for θ for the referenced star is θ = 0.00001389

Therefore;

[tex]\displaystyle d = \frac{1 \, AU}{tan(0.00001389^{\circ}) } \approx 4,124,966.13 \, AU[/tex]

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