Solve the word problem and Write the statements.
Grade 3 students used three rolls of ribbons measuring 300 metres, 286 metres and 258 metres for dance in primary Concert. Find the total length of ribbons.

Answer:

[tex](x,y) = (0,7)[/tex]

[tex](x,y) = (3,7)[/tex]

Step-by-step explanation:

The question and the attached image are different. However, the attached image answers the question y = -4 correctly.

So, I will solve for: [tex]y = -x + 7[/tex]

Given

[tex]y = -x + 7[/tex]

Required

Possible values of x and y

Let x = 0:

[tex]y = -x + 7[/tex]

[tex]y = -0 + 7[/tex]

[tex]y = 7[/tex]

So, we have:

[tex](x,y) = (0,7)[/tex]

Let y = 4

[tex]y = -x + 7[/tex]

[tex]4 = -x + 7[/tex]

Collect Like Terms

[tex]x = -4 + 7[/tex]

[tex]x =3[/tex]

So, we have:

[tex](x,y) = (3,7)[/tex]

So, all you need to do is: assume a value for either x or y, then solve for the other variable.

Answer:

484

Step-by-step explanation:

22^2 is equal to 22*22 which is 484

Answer:

It is coming to a conclusion based on rational thinking, comparing quantities to values.

Answer:

4/8 or 1/2

Step-by-step explanation:

7/8-3/8= 4/8 or 1/2 because 4 is half of 8

Answer:

10 days

Step-by-step explanation:

12 souvenirs  during 6 days = 2 souvenirs  per day

2x = 20

divide 2 on each side

x = 10

Answer:

D) 124 m2 creo .............

Answer:

Step-by-step explanation:

number 2= 2 (rounded)

same thing for 1

Step-by-step explanation:

djhdjdndnsnxjjxnxjxjxjxkdjjfjfjfk

Answer:

51720

Step-by-step explanation:

Answer:

The phrase 'The total of 6 and 10' can be written in an algebraic expression as:

The expression can be further simplified such as:

Step-by-step explanation:

Given

The phrase is:

To determine

Write the phrase as an expression.

Therefore,

In order to write the phrase 'The total of 6 and 10' in an algebraic expression, all we need is to add 6 and 10.

Thus,

The total of 6 and 10 = 6 + 10

Hence, the phrase 'The total of 6 and 10' can be written in an algebraic expression as:

The expression can be further simplified such as:

Answer:

that is wrong

Step-by-step explanation:

Answer:

im not sure, but i think its 88$-13$=75

Step-by-step explanation:

x-13$=75$=>x=88$

Answer:

The answer would be C

Step-by-step explanation: I got it correct on my test

Answer:

C. 4 quarts 1 gallon

Step-by-step explanation:  i got it correct on the test, and someone else said it which validates me

Answer:

"in an average of" / "approximately"

Step-by-step explanation:

these clue words do not hold any definite value. therefore, it can be used for estimating.

Answer:

x=y-6

Step-by-step explanation:

First, flip the equation.

x+6=y

Finally, add -6 to both sides.

x+6+−6=y+−6

x=y−6

Answer:

A = 3

B = 8

C = 2

D = 5

Step-by-step explanation:

The language is solved and the four digit code is given by

A = 3

B = 8

C = 2

D = 5

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

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

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

2 + 1 = A

On simplifying the equation , we get

A = 3

Now , 3 + 5 = B

B = 8

And , D + 3 = 8

Subtracting 3 on both sides , we get

D = 5

And , 3 + C = 5

Subtracting 3 on both sides , we get

C = 2

Hence , the four digit code is A = 3 , B = 8 , C = 2 , D = 5

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Answer:

The calculated value |t| = |-3.082| =3.082 > 2.0322 at 0.05 level of significance

The null hypothesis is rejected

An alternative hypothesis is accepted

There is evidence that the machine should be stopped and production wait for repairs

Step-by-step explanation:

Step(i):-

Given that the mean of the Population(μ) = 8 ounces

Given that the sample size 'n' = 35

The mean of the sample(x⁻) = 7.91

The variance of the sample  S² = 0.03 ounces

                                           S = √0.03 =  0.1732

Step(ii):-

Null Hypothesis: H₀: There is no evidence that the machine should be stopped and production wait for repairs

Alternative Hypothesis: H₁: There is evidence that the machine should be stopped and production wait for repairs

[tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

[tex]t = \frac{7.91 -8}{\frac{0.1732}{\sqrt{35} } }[/tex]

t = - 3.082

|t| = |-3.082| =3.082

Degrees of freedom

ν = n-1 = 35-1=34

t₀.₀₅ =  2.0322

The calculated value |t| = |-3.082| =3.082 > 2.0322 at 0.05 level of significance

The null hypothesis is rejected

An alternative hypothesis is accepted

conclusion:-

There is evidence that the machine should be stopped and production wait for repairs

For the coin: 2 possibilities, either head or tail. So probability of head is 1/2.

For the cube (assuming numbers are 1 to 6): 6 possibilities (1 2 3 4 5 6). We have 3 odd numbers, so probability of odd number is 3/6=1/2.

You want both head and an odd number, so you multiply the 2 probabilities: 1/2×1/2=1/4.

So the answer is 1/4.

You can use a tree to better understand probabilities.

Answer:

10980

Step-by-step explanation:

10,000

Since the thousand is 0 you keep the ten thousand at 1 and make all other digits 0.

Answer:

(x+9)(x+9)

Step-by-step explanation:

Factor 81+18x+x^2

x^2+18x+81

=(x+9)(x+9)

Answer:

5555555

Step-by-step explanation:

I really dont know

Answer:

Step-by-step explanation:

The two given angles are complementary and sum to 90°

Therefore correct choice is A.

Answer:

6.6

Step-by-step explanation:

The length of i is 6.6 units(after the nearest 10th of a centimeter) if in ΔIJK, k = 7.2 cm, ∠J=55°, and ∠K=67°.

The triangle can be defined as a three-sided polygon in geometry and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.

We have a triangle:

As we know the sum of the triangle is 180°

So I = 180 - 55 - 67 = 58°

Applying sin law to calculate the value of i:

[tex]\rm \frac{i}{sin58} = \frac{k}{sin67}[/tex]

[tex]\rm i = \frac{7.3\times sin 58}{sin67}[/tex]

i = 6.633 units ≈ 6.6 units   (sin58 = 0.848, and sin67 = 0.920)

Thus, the length of i is 6.6 units(after the nearest 10th of a centimeter) if in ΔIJK, k = 7.2 cm, ∠J=55°, and ∠K=67°.

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Answer:

6 pieces

Step-by-step explanation:

They have a common denominator of 6, so it should be cut into 6 pieces.  Sue would get 3 pieces (half the pan) and Dena would get 2 pieces (one-third the pan)

Answer:

Step-by-step explanation:

Y = mx +b        / Slope intercept form

  mx - y = -b      / Standard form

6m -2 = -b   / Plug in ( 6,2)

-9m -10 = -b / Plug in  ( -9, 10)

 Solve the system of equation for m and b.

 6m -2 = -9m -10  , then   15m = -8      m = -8/15

     b = -6m +2     ,then         b= -6 ( -8/ 15) +2 = 78/15

    -8/15 X -  y = - 78/15

     8X +15y = 78  / Equation of in standard form

Note: This is a different methods of solving this problem. All methods find their roots coming from the basic premises.

Equation of a line in the slope intersect form is

   Y = mx +b

   To convert to standard form of ax + by =c

      Simply move over the parameters

       mx - y = -b        where a = m , and c = -b

      Then we feed coordinates of 2 points in there

       make a 2 equation with 2 unknown( m,b) to

       solve.

Answer:

A. Quadratic trinomial

Step-by-step explanation:

You can easily eliminate B and C because trinomial means there are three terms. B has monomial (one term) and C has binomial (two terms).

Now you have A and D. D is cubic which means the first term (4x²) would have to be cubed (4x³). Quadratic means it is squared.

Answer:

28.86

Step-by-step explanation:

According to the scenario, computation of given data are as follows,

Exponential smoothing a = 0.1

we can calculate forecast for each week by using following formula,

Forecast for week = Forecast of last week + a × ( actual calls of last week - forecast of last week)

By using this method, forecast for all week are as follows

Week            Actual calls                Forecast                     Calculation

1                        28                               28

2                       34                               28                    [28 + 0.1 × ( 28 - 28)]

3                       38                               28.60              [28 + 0.1 × ( 34 - 28)]

4                       27                               29.54              [28.6 + 0.1 × ( 38 - 28.6)]

5                       25                              29.29               [29.54 + 0.1 × ( 29 - 29.54)]

6.                                                         28.86             [29.29 + 0.1 × ( 25 - 29.29)]

Answer: x = 2.

Step-by-step explanation:

By an online search, i found that the question is:

"Given that x satisfies the inequality 20*x > 33,  find the smallest value of x if x is a prime number."

To find the smallest value of x we need to input different possible values of x (where we have the condition that x must be a prime number) and see which one is the first one that makes the inequality true.

The prime numbers are:

2, 3, 5, ....

Let's start with the smaller one, x = 2

So we input it in the inequality and get:

20*2 > 33

40 > 33

this is true.

Then we can have x = 2, which is the smaller prime number that satisfies the inequality.

Answer:

X = 8.3 (shortened)

Steps for answer!

1. Subtract 2.5x from both sides.

1.5=4x-11-2.5x

2. Simplify  4x-11-2.5 to  1.5x-11

1.5=1.5x-11

3. Add 11 to both sides.

1.5+11=1.5x

4. Simplify  1.5+11 to 12.5.

12.5=1.5x

5. Divide both sides by 1.5.

12.5/1.5=x

6. Simplify  12.5/1.5 to  8.3333338.333333.

8.333333=x

7. Switch sides.

x=8.333333

Answer:

Bob=19.60

Elsa=25.60

Chang=58.80

Step-by-step explanation:

(E)lsa + (C)hang + (B)ob=104

C=3B

E=B+6

substitute

(B+6)+3B+B=104

5B+6=104

5B=98

5B/5=98/5

B=19.60

E=19.60+6=25.60

C=3(19.60)=58.80

Step-by-step explanation:

cross-multiply

4y = -2

y = -2/4

y = -1/2

Answer-

y=-1/2

Multiply each side by -2 to isolate the variable.

1/4 x -2 = -1/2