Sara poured 3/4 of the juice from a 2 liter bottle while serving guest party.
How much juice, in liters, is still left in the bottle

Answer:

In mathematics, the dot product or scalar product is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors), and returns a single number. ... Algebraically, the dot product is the sum of the products of the corresponding entries of the two sequences of numbers

Step-by-step explanation:

Answer:

the answer is A1

Step-by-step explanation:

{a7} = 10 = a1 + 7*4

   10 = a1 + 28

  -28         - 28

 -18 = a1

Answer:

Algebra is the branch of Maths that uses alphabetical letters to find unknown numbers. These letters are also called variables. ... Algebra involves the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0.

Step-by-step explanation:

In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics. It includes everything from elementary equation solving to the study of abstractions such as groups, rings, and fields.

Hiiii!

Here's what algebra is:

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent quantities without fixed values, known as variables. ... The letters x and y represent the areas of the fields.

In simple words: a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic.

Hope it helps! ( ꈍᴗꈍ)

-Nezuko

Answer:

Add decimals the same way as whole numbers, taking care to align the decimal points. Equivalently, align the ones because every number has ones.

Step-by-step explanation:

Answer:

number 3 is the answer

Step-by-step explanation:

hope u understand

Answer: the answer is d

Step-by-step explanation:

Answer:

B) f^-1(x)=3-5x

Step-by-step explanation:

y=3-x/5

rearrange the equation so you have x variable on the left side

5y=3-x

+x     +x

5y+x=3

-5y      -5y

x=3-5y

so answer is b)

f^-1(x)=3-5x

Answer:

-1/28

Step-by-step explanation:

You need to convert 2/7  and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28

Answer:

-1/28

Step-by-step explanation:

You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.

Step-by-step explanation:

step 1:-group the first two terms together and then the last terms together.

step 2:-factor out a GCF from each separate binomial.

step3:-factor out the binomial

Answer:

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The value of x and the dimensions of the rectangular prism are as follows;

x = 7.5 m

length = 8 m

width = 5.5m

height = 12.5 m

volume of a rectangular prism  = lwh

volume = 550 m³

l = 8

w = x - 2

h = x + 5

Therefore,

v = lwh

550 = (x + 5)(x - 2)8

550 = (x² - 2x + 5x - 10)8

550 = (x² + 3x - 10)8

550 = 8x² + 24x - 80

8x² + 24x - 80 - 550 = 0

8x² + 24x - 630 = 0

4x² + 12x - 315 = 0

using quadratic formula,

where

a = 4

b = 12

c = -315

-b ± √b² - 4ac / 2a

Therefore,

x = -10.5 or 7.5

x cannot be negative .

so, x = 7.5

x = 7.5 m

length = 8 m

width  = 7.5 - 2 = 5.5 m

height = 7.5 + 5 = 12.5 m

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Answer:

2  again and the next one is 3

Step-by-step explanation:

Step-by-step explanation:

the 4th answer option is correct.

the slope of the line is expressed as the ratio

y coordinate change / x coordinate change

when going from one point to the other.

Answer:

41910.

Step-by-step explanation:

We can calculate this by first finding the sum for  k = 1 to 50 then subtracting the sum for k = 1 to 14.

We use the formula  (1/6)n(n+1)(2n+1)

So for 1 to 50 its 1/6 * 50* 51 * 101 = 42925

and for 1 to 14 it comes to 1/6*14*15*29 = 1015

So the answer is 41910.

Answer:

a)it is a 45 degree angle

b) Enzo saves 8 minutes if he takes the shortcut

Step-by-step explanation:

a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .

b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h

you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each

2.4 km=length of Rutherford and Orchard together

shortcut is 2 km

divide 2.4 by 0.4 or .4 and you get 6  

so if it takes him 20 min on the shortcut it should save him 8 minutes.

[tex]\rule{300}{3}[/tex]

[tex]\text{Hi!}[/tex]

To find the cost per item (or in your case "rolls"), you will first have to divide the cost of the lunch rolls  [tex](2.50)[/tex]  by the amount of lunch rolls there are [tex](5)[/tex].

So in this case, it would look like

[tex] \textbf{$2.50/5} [/tex][tex]\text{$2.50 ÷ 5}[/tex][tex]\text{$2.50 / 5}[/tex][tex]\text{2.50}[/tex] ÷ [tex]\text{5}[/tex]

[tex]\text{=$0.50}[/tex]= [tex]\text{\ 0.50}[/tex]

[tex]\boxed{\$0.50{}}[/tex]

[tex]\rule{300}{3}[/tex]

Answer:

x = y = 60°

Step-by-step explanation:

The angle adjacent to 120° inside the triangle is

180° - 120° = 60°

The triangle is isosceles ( 2 congruent legs ) with the 2 base angles being congruent , then

y = 60°

The vertex of the triangle = 180° - (60 + 60)° = 180° - 120° = 60°

x is vertically opposite the vertex and is congruent , so

x = 60°

Answer:

0.38

Step-by-step explanation:

First, we convert the fraction to a decimal number by dividing the numerator by the denominator:

3 / 8 = 0.375

There are two parts to the decimal number above:

Integer Part: 0

Fractional Part: 375

Now, we will make the Fractional Part just two digits (nearest hundredth) by using our rounding rules.*

In this case, Rule II applies, so 3/8 (or 0.375) rounded to the nearest hundredth in decimal format is:

0.38

Answer:

.375

Step-by-step explanation:

3/8=.375

Answer:

Step-by-step explanation:

Option a,c,e,f,i,j are quadratic equations. (Because its degree is 2)

Option b,d,g are linear equations. (Because its degree is 1)

Just option h is not quadratics nor linear.

Answer:

x = -4/3

Step-by-step explanation:

|3x - 5| = |6x - 1|

=> 3x - 5 = 6x - 1

=> 1 - 5 = 6x - 3x

=> -4 = 3x

=> x = -4/3

Hoped this helped.

Answer:

x = [tex]\frac{-4}{3}[/tex] or x = -1.333333.....

Step-by-step explanation:

3x - 5 = 6x - 1

Move the 3x to the other side by subtracting, because the 3x is positive on the left side.

-5 = 3x - 1

Move -1 to the other side by adding.

-4 = 3x

Divide by 3 to get x

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

Hope this helps! <3

Answer:

Equation of parabola: y = a(x-h)2 + k or x = a(y-k)2 +h, but the simple version is  y2 = 4ax.

Step-by-step explanation:

Answer:

I think its 3 and 4.5. I looked it up.

Step-by-step explanation:

Look up 2 in enlarged by 150% and I clicked on the first link and then do the same for 3.

The enlarged image will have a height of 3 in. and a width of 4.5 in.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

An image viewed on a computer screen has a height of 2 inches and a width of 3 inches.

If the image is enlarged 150%

so, the height and width of the enlarged image is,

height = 2*150%

          =3

width= 3*150%

         =4.5

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Answer: − 34359738368

Answer:

3m(a-2b)+(a-2b)^2

= 3m(a-2b)+(a-2b)(a-2b)

= (a-2b)(3m+a-2b)

Answer:

Step-by-step explanation:

Answer:

15 seconds

Step-by-step explanation:

Step-by-step explanation:

divide 3÷2 (5x+1.5>3x+2)

move the terms (5x-3x>2-1.5)

2x>0.5

divide by 2

x=0.25