Size of angle x in 51

Answer:

2 1/3

Step-by-step explanation:

1 3/4  is equivalent to 7/4

1 1/3 is equivalent to 4/3

7/ 4 x 4/3

reduce with greatest common factor so the two 4 are out (show a line crossing out the top and bottom 4 )

now you're left with 7 x 1/3 = 7/3

7/3 = 2 1/3

The product of two given mixed fractions is [tex]2\frac{1}{3}[/tex].

The given mixed fractions are [tex]1\frac{3}{4}[/tex] and [tex]1\frac{1}{3}[/tex].

The product of two fractions is the product of the numerators and the product of the denominators.

Product of two fractions = Product of their denominators / Product of their numerators.

Here, the mixed fraction [tex]1\frac{3}{4}[/tex] can be written as [tex]\frac{7}{4}[/tex] and the mixed fraction [tex]1\frac{1}{3}[/tex] can be written as [tex]\frac{4}{3}[/tex].

Now, 7/4 × 4/3

= 7/3

= [tex]2\frac{1}{3}[/tex]

Therefore, the product of two given mixed fractions is [tex]2\frac{1}{3}[/tex].

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Answer:

Step-by-step explanation:

The angles (2x- 10) and (4x+ 16) are consecutive interior angles and therefore are corresponding

Corresponding angles sum to 180

Answer:

2x + 15 = the sum of twice a number and 15

Step-by-step explanation:

y - x = 5

y = x + 5

Hope this helps! :)

Answer:

Hi! The correct answer is y=5+x!

Step-by-step explanation:

~Add x to both sides of the equation~

Answer:

The answer is 125 eggs.

The total number of eggs required will be 125.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. The number of eggs will be calculated as:-

Number of eggs = 5 x 5 x 5

Number of eggs = 125

Therefore, the total number of eggs required will be 125.

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Answer:

the answer is 440 square inches.

you just have to multiply all the numbers.

Answer:

B. 440 square inches

Step-by-step explanation:

all you have to do multiply 5x8x11 = 440

[tex]4c \: + 18 = 74[/tex]

[tex] \implies \: 4c = 74 - 18[/tex]

[tex] \implies \: 4c = 56[/tex]

[tex] \implies \: c = \cancel \dfrac{56}{4} [/tex]

[tex] \implies \: c = 14[/tex]

The value of c is 14 .

Answer:

14

Step-by-step explanation:

move all terms that don't contain c then solve.

Answer:

∠ EHK

Step-by-step explanation:

Adjacent angles are positioned next to each other on a straight line and are supplementary.

∠ IHK is next to ∠ EHK on the line DI and are adjacent

Answer:

31.25 kg of flour is needed to make 50 cakes

Step-by-step explanation:

A 2.5-kg bag of flour contains enough flour to make 4 cakes. a) How much flour is needed to make 50 cakes?

We can find it by using unitary method i.e first find quantity of flour needed for 1 cake and then we can find quantity of flour needed for 50 cakes.

Flour needed to make 4 cakes = 2.5 kg

Flour needed to make 1 cake = [tex]\frac{2.5}{4}[/tex] kg

Flour needed to make 50 cakes = [tex]\frac{2.5}{4}\times 50[/tex]

                                                      = 31.25 kg

So, 31.25 kg of flour is needed to make 50 cakes

Answer:82feet tall

Step-by-step explanation:

Answer:

x = t + p

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

x - p = t

Step 2: Solve for x

Answer:

3 hours

Step-by-step explanation:

Number of shows : Time taken

= 4 : 2

Today, they will perform 6 shows.

Number of shows : Time taken

= 6 : x

Equate both ratios to find x

4 : 2 = 6 : x

4/2 = 6/x

Cross product

4 * x = 2 * 6

4x = 12

x = 12/4

x = 3 hours

The trainers will spend 3 hours performing shows today

Answer:

3 hours

Step-by-step explanation:

Answer:

According to my problem solving, the answer should be B. 4

Step-by-step explanation: it might be wrong but worth a shot

Answer:

B

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

2.29+1.76=4.05

4.05/0.25=16.2

round down to 16

you would have a little extra but you would only be able to make 16 .25 pound ones

The equation of the vertical asymptote is x = -3

The function is given as:

[tex]y =\frac{5x +1}{x + 3}[/tex]

Assume the equation of the function is:

[tex]y =\frac{m(x)}{n(x)}[/tex]

So, by comparison;

We have:

[tex]n(x)=x + 3[/tex]

Set n(x) to 0

[tex]x + 3 = 0[/tex]

Subtract 3 from both sides

[tex]x = -3[/tex]

Hence, the equation of the vertical asymptote is x = -3

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Answer:

(1)  4

Step-by-step explanation:

Isolate x.

[tex]\frac{x-2}{3}[/tex] + [tex]\frac{1}{6}[/tex] = [tex]\frac{5}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{5}{6}[/tex] - [tex]\frac{1}{6}[/tex]

[tex]\frac{x-2}{3}[/tex] = [tex]\frac{2}{3}[/tex]

[tex]\frac{x-2}{3}[/tex] × 3 = [tex]\frac{2}{3}[/tex] × 3

x - 2 = 2

x = 2 + 2

x = 4

Step-by-step explanation:

(x - 4)(x - 1)

= x² - x - 4x + 4

= x² - 5x + 4.

Answer:

[tex]\huge(x - 4)(x - 1) \\ \huge= {x}^{2} - x - 4x + 4 \\ \huge = {x}^{2} - 5x + 4[/tex]

Answer:

7.5

Step-by-step explanation:

10x + 8x + 6x = 180°

24x = 180°

x = 180°÷24

× = 7.5

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

HOPE IT HELPS YOU.

Answer:

The last answer.

Step-by-step explanation:

It looks to be the correct answer because for the one above you can't simplify 27 by 5.

Answer:

One

Step-by-step explanation:

There will be one unique solution of the equation y = 5x - 1 and y = 3x + 7. The correct option is B.

A finite collection of equations for which we searched for common solutions is referred to in mathematics as a system of equations, sometimes known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized.

A linear equation can only have one unique solution, which is a location at which the LHS and RHS of the equation are equal. There is only ever one solution to a linear equation with one variable.

y = 5x - 1

y = 3x + 7

5x - 1 = 3x + 7

2x = 8

x = 4

y = 19

Therefore, there will be one unique solution of the equation y = 5x - 1 and y = 3x + 7.

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Answer:

14.25

Step-by-step explanation:

im sorry im bad at explaning

Answer:

2 2/5

Step-by-step explanation:

Answer:

an =24−2n

Step-by-step explanation:

Answer:

additional charge=$3×$6

=$18

minimum charge =$8

total=$24

Answer:

$26

8 + 3t

Step-by-step explanation:

Answer:

0.012

Step-by-step explanation:

0.004 * 3 = 0.012

Answer:

A. Y = 5x + 10

Step-by-step explanation:

The bear gains 5 pounds a month. The X represents the months in which five pounds gradually build. This is represented by 5x. We need to add the bears original 10 pounds so Y = 5x + 10.

Answer:

a is the answer I did dat before

Answer:

The equation of the line in standard form is y = -1/2·x - 3

Step-by-step explanation:

From the given graph, the "x" and "y" coordinates points through which the line of the graph passes are;

(-4, -1), (-2, -2), and (2, -4)

The slope, m, of the graph is given as follow;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, by substituting the values of the coordinates for two known points, we have;

[tex]Slope, \, m =\dfrac{(-4) -(-1)}{2-(-4)} = \dfrac{(-4) + 1}{2+4 } = \dfrac{-3}{6} = -\dfrac{1}{2}[/tex]

The slope of the graph, m = -1/2

The equation of the graph on point and slope form is given as follows;

y - (-4) = -1/2(x - 2)

y = -x/2 + 1 - 4 = -x/2 - 3

The equation of the line in standard form, y = m·x + c  is y = -1/2·x - 3.