Write this English phrase as an algebraic expression. Let the variable x represent the number.
five more than a number
translated into an algebraic expression:

Answer:

(0,4)

Step-by-step explanation:

9514 1404 393

Answer:

  (-7, -6)

Step-by-step explanation:

The solution to the system of equations is the point that is on both lines: their point of intersection. That point is (-7, -6).

Answer:

Option 2

Step-by-step explanation:

Like terms are terms with the same variable and the same power.

Let's analysis and write the equation of each model to see if which of them has like terms:

Option 1:

We have x x => 2x

1 1 1 => 3

Equation of model=> 2x + 3

2x and 3 are unlike terms

Option 2:

We have x x => 2x

x x x => 3x

Equation of model=> 2x + 3x

2x and 3x are like terms

Option 3:

We have x x x => 3x

1 1 1 => 3

Equation of model=> 3x + 3 (contains unlike terms)

Option 4:

We have x => x

1 => 1

Equation of model=> x + 1 (unlike terms)

✔️The second option is the answer

Step-by-step explanation:

given,

m1=23°

m2=32°

hope it helps

Answer:

∠APC ≅ ∠DPB angles adjacent to the same angle are congruent to each other.

Explanation:

Because they share an angle created by P, they are adjacent.

I hope this helped :)

Answer:

x = -6

Step-by-step explanation:

-x/3 = 2

Multiply each side by -3 to isolate x

-x/3  * -3= 2*-3

x = -6

Answer:

x= -6

Step-by-step explanation:

you want to issolate x.

Start by getting rid of that divison by inversing it. The inverse of division is multiplication, so we multiply 2 by 3 to get 6.

Now -x= 6

in order for it to be truely isolated, we must inverse the negative sign.

its x= -6

Step-by-step explanation:

(5x⁴y⁵).(2x²y‐⁵)

5×2=10

x⁴×x²= x⁶

y⁵×y-⁵=y⁰

so the answer is 10x⁶y⁰

Answer:

theres a few ways to go about this...

ten j plus, four, plus eightj SIMPLIFY eighteen j's plus four

orrrr

2 times 5j+2 times2+2times4j and combine like terms to get the above expression

Answer:

all the angles add up to 180 degrees

So 180÷6=30

(i got 6 cuz 1+2+3)

so 1=30

2=30*2=60

3=30*3=90

Answer:

B) 20

The minimum of a data set is the smallest term of that set.

We arrange the terms in ascending order

→ 20,20,25,30,35

So, the minimum is 20

--------------------------------

hope it helps...

have a great day!!

Answer:

4

Step-by-step explanation:

Since the bases are equal the powers also are equal

so

2x + 1 = x + 5

2x - x = 5 - 1

x = 4

Answer:

4.2

Step-by-step explanation:

2.1+2.1=4.2

Answer:

a = 6[tex]\sqrt{2}[/tex]

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]c^{2}[/tex] = [tex]18^{2}[/tex]    (pythagoras theorem)

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]4^{2}[/tex]      (pythagoras theorem)

[tex]c^{2}[/tex] + [tex]b^{2}[/tex] = [tex]22^{2}[/tex]      (pythagoras theorem)

From these 3 equations we can find the value of a

The answer would be (3,2) because you would do (x,-y)

Answer:

4

Step-by-step explanation:

Any polynomial of degree n has n roots

but we may need to use complex numbers

This is a 4th degree polynomial therefor:

4 roots

Answer:

11.

Step-by-step explanation:

As the first decimal place is 5 we round up the whole number.

Answer:

11

Step-by-step explanation:

See image below:)

Answer: 30%.

Step-by-step explanation:

The percentage decrease for the shoes will be calculated as:

= (Decrease in shoes / Original cost price) × 100

= (50 - 35) / 50 × 100

= 15/50 × 100

= 30%

The percentage decrease for the shoes is 30%

Answer:

(1,3)

Step-by-step explanation:

This might be wrong, sorry.

y+4x=7

I would think the pair is

(1,3)

Answer:

Slope is -3

y-intercept is -3 and equation is y=-3x-3

Answer:

Slope: -3

y-intercept: -3

Equation: y = -3x - 3

Step-by-step explanation:

1. To get the slope (m):

m = rise / run = -3 / 1 --> it's negative 3 since the slope is going downwards

2. the y-intercept is the point that crosses the y-axis or when the x point is 0, so (0, -3)

3. Put is all together: y = -3x - 3

Answer:

Part a:

The null and alternate hypotheses are

i) H0:  ud  ≥ u    vs          Ha: ud < u

ii) As the significance level is ∝= 0.025 and it is one tailed test then the critical region R < - 1.96

iii) The test statistics is  =−9.15

iv) We accept the alternate hypothesis.

​

Part b:   CI = (−3.637,−2.163)

​

Step-by-step explanation:

AS the sample sizes are sufficiently large (n1,n2> 30) we can use the sample standard deviations in place of population standard deviations.

Part a:

The null and alternate hypotheses are

i) H0:  ud  ≥ u    vs          Ha: ud < u

where

ud is the mean of the days missed  per year by mothers working for companies that provide day-care facilities on premises

and

u is the mean number of days missed per year by mothers working for companies that do not provide day-care facilities on premises

ii) As the significance level is ∝= 0.025 and it is one tailed test then the critical region R < - 1.96

iii) The test statistics is

z= xˉ1 − xˉ2/√ s 1² /n 1 +s 2² /n 2

​=  6.4−9.3/ √1.2 ² /45+ 1.85² /50​

=−9.15

iv) The calculated z = −9.15 values lies in the critical region= R < - 1.96 and the null hypothesis is rejected. Hence the  mean of absentees for companies that provide day-care facilities on premises  is less than the

the mean number of absentees for companies that do not provide day-care facilities on premises.

We accept the alternate hypothesis.

​

Part b:

The confidence interval can be calculated using the formula

CI = ( xˉ1 − xˉ2) ± z∝/2 √ s 1² /n 1 +s 2² /n 2

CI = (6.4−9.3) ± 2.326 * √1.2 ² /45+ 1.85² /50​

CI = (−3.637,−2.163)

​

Answer:

It’s blurry but I think it’s an obtuse triangle

Step-by-step explanation:

Maybe a right triangle

Answer:

x = 16

Step-by-step explanation:

The sum of the angles of a triangle are 180

128+ 2x-3 +23 = 180

Combine like terms

2x+148=180

Subtract 148 from each side

2x+148 -148 = 180-148

2x = 32

Divide by 2

2x/2 = 32/2

x =16

Answer:

-8 degrees Celsius is warmer

Answer:

-8 degrees C.

Step-by-step explanation:

Answer:

The dimensions of the box that minimize the amount of material used is length of square base x = 70 cm and height of box = 35 cm

Step-by-step explanation:

The volume of the box with square base is V = x²h where x = length of side of square base and h = height of box.

Now, the area of the of box open at the top with dimensions of length, l , width, w and height, h are

A = 2lh + lw + 2wh

Now for a box of square base, l = w = x.

So, A = 2xh + x² + 2xh

A = x² + 4xh

Since V = x²h and V = 171500 cm³,

h = V/x² = 171500/x²

substituting h into A, we have

A =   x² + 4xh

A =  x² + 4x(171500 cm³/x²)

A =  x² + 4 × 171500 cm³/x

A =  x² + 686000 cm³/x

To find the value of x that minimizes A, we differentiate A with respect to x

So, dA/dx = d[x² + 686000 cm³/x]/dx

dA/dx = 2x - 686000 cm³/x²

equating this to zero, we have

2x - 686000 cm³/x² = 0

2x = 686000 cm³/x²

2x³ = 686000

x³ = 686000 cm³/2

x = ∛(343000 cm³)

x = 70 cm

To determine if this in a minimum dimension for A, we differentiate dA/dx and insert x = 70 cm

So, d²A/dx² = d[2x - 686000 cm³/x²]/dx

d²A/dx² = 2 + 3 × 686000 cm³/x³

d²A/dx² = 2 + 2058000 cm³/x³

with x = 70 cm, we have

d²A/dx² = 2 + 2058000 cm³/(70 cm)³

d²A/dx² = 2 + 2058000 cm³/343000 cm³

d²A/dx² = 2 + 6

d²A/dx² = 8 > 0

So, x = 70 is a minimum value for the dimension

Since h = 171500 cm³/x²

h = 171500 cm³/(70 cm)²

h = 171500 cm³/4900 cm²

h = 35 cm

So, the dimensions of the box that minimize the amount of material used is length of square base x = 70 cm and height of box = 35 cm

Answer:

Step-by-step explanation:

its 21.4

Answer:

3 dollars

Step-by-step explanation:

15 divided by 5 is 3

so 3 dollars each

hope this helps!

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