Write the phrase as an algebraic expression. Use the variable x to represent the unknown number. Seven times a number.

Answer:

1456

Step-by-step explanation:

If there are parentheses what is inside comes first, then multiplication or division, last is addition and subtraction. If you have multiple division or multiplication you go in order left to right. Once it's down to addition and subtraction you also go left to right.

First we multiply 284 * 5 = 1420

Now we go in order.

1420 - 6 + 42

1414 + 42

1414 + 42 = 1456

Answer:

The correct answer is:

0.01$ (c)

Step-by-step explanation:

Standard deviation is a measure of how spread out numbers are from the mean value. The formula for standard deviation is given by:

[tex]s = \sqrt{\frac{\sum(x - \bar x)}{n} } \\where:\\x = sample\ \\\bar x\ = mean\\n\ = number\ of\ samples\[/tex]

Variance is a measure of the squared differences from the mean.

Variance is simply the square of the standard deviation. It is mathematically shown as:

[tex]s^2 = \frac{\sum(x - \bar x)}{n} }[/tex]

Now in our example,

Stabnard deviation = $0.10

Variance = (standard deviation)²

Variance = (0.10)²

Variance = $0.01

Answer:

c.) $0.01

Step-by-step explanation:

Got it right.

Answer:

The p-value of the test is 0.049.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine whether the experimental toothbrush was effective or not.

The hypothesis for the test can be defined as follows:

H₀: The experimental toothbrush was not effective, i.e. d = 0.

Hₐ: The experimental toothbrush was effective, i.e. d < 0.

The information provided is:

 [tex]\bar d=5.5\\S_{d}=11.6\\n=14[/tex]

Compute the test statistic value as follows:

 [tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}[/tex]

   [tex]=\frac{5.5}{11.6/\sqrt{14}}\\\\=1.7740617\\\\\approx 1.774[/tex]

The test statistic value is 1.774.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

 [tex]p-value=P(t_{n-1}<1.774)[/tex]

                [tex]=P(t_{13}<1.774)\\=0.049[/tex]

*Use a t-table.

The p-value of the test is 0.049.

p-value= 0.049 > α = 0.05

The null hypothesis will be rejected.

Thus, it can be concluded that experimental toothbrush was effective.

Answer:

1.5

Step-by-step explanation:

To find the midpoint, add the two coordinates and divide by 2

( -4+7)/2 =

3/2

1.5

The midpoint is 1.5

Answer:

1.5

Step-by-step explanation:

In this case the midpoint value is the average or mean of -4 and 7:

-4 + 7

--------- = 3/2 or 1.5

     2

Answer:

x² - 10x - 7

Step-by-step explanation:

See steps below:

Answer:

[tex]y = - \frac{17}{7} x - 5 \frac{4}{7} [/tex]

Step-by-step explanation:

Please see attached picture for full solution.

Answer:

the missing value is 44

Step-by-step explanation:

let the missing value be x

we can solve this by expressing both ratios as rational expressions

11:4 = x:16

[tex]\frac{11}{4} = \frac{x}{16}[/tex]  (cross multiply the denominators to eliminate them)

(11)(16) = (4)(x)

4x = 176

x = 176 / 4

x = 44

hence the ration is

11:4 = 44 : 16

Answer:

A.

Step-by-step explanation:

the product of two irrational numbers

Answer:

the answer is A

Step-by-step explanation:

A. the product of two irrational numbers.

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A circle has a radius of 19m . Find the radian measure of the central angle θ that intercepts an arc of length 5m.  Do not round any intermediate computations, and round your answer to the nearest tenth.

The formula for calculating the length of an arc [tex]L = \frac{\theta}{360} * 2 \pi r[/tex]

θ is the central angle

r is the radius of the circle = 19m

L is the length of an arc = 5m

Substitute the given values into the formula and get the central angle θ

5 = θ/360 * 2(22/7)*19

5 = θ/2π * 119.4285714

θ/2π = 5/119.4285714

θ/2π = 0.041866

θ = 2π*0.041866

θ = 0.083732π

θ = 0.1π rad (to the nearest tenth)

Hence the radian measure of the central angle that intercepts an arc of length to the nearest tenth is 0.1π rad

Answer:

A dog needs 4/3 liters of water 2/5 of a day, Therefore

he'll need 4/3 liters for 5/2 day or

4/3 * 5/2 = 20/6 = 10/3 liters or 3 and 1/3 liters per day

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since it's a geometric sequence, to find the common ratio divide the previous term by the next term.

That's

And also

Also

Since the common ratio is the same for any of the terms chosen the common ratio of the sequence is

Hope this helps you

Answer:

B. -1/2

Step-by-step explanation:

The common ratio is the ratio between two numbers next to each other To find the common ratio, divide a term by the preceding term.

For example, if the term is 48, divide by -96.

48/-96 = -1/2

Another example, if the term is -24, divide by 48.

-24/48= -1/2

Let’s try one more example. If the term is 12, divide by -24

12/-24= -1/2

Therefore, the common ratio is 1/2 and the correct answer is B.

Answer:

£591.5

Step-by-step explanation:

First find the price increase by multiplying the new price by 30 percent . Then subtract the answer from the new price.

The original price of the TV prior to the increase is £650 and this can be determined by using the unitary method.

Given :

The price of a 46" LED flat TV screen has increased  to £845, which is 30% increase of the original price.

The following steps can be used in order to determine the original price of the TV prior to the increase:

Step 1 - The unitary method can be used in order to determine the original price of the TV prior to the increase.

Step 2 - According to the given data, the increased price of the TV is £845 which is 130%.

Step 3 - Now, let the original price of the TV be 'x'.

Step 4 - So, the value of 'x' is:

[tex]x = \dfrac{100}{130}\times 845[/tex]

Step 5 - Simplify the above expression.

[tex]x = \dfrac{8450}{13}[/tex]

[tex]x = 650[/tex]

So, the original price of the TV prior to the increase is £650.

For more information, refer to the link given below:

https://brainly.com/question/12116123

Answer:

2/11

Step-by-step explanation:

We have to calculate this by

p(B nA)/p(A)

= We have A¹ to be that none of the die roll gives us 6

P(A¹) = 5/6²

P(A) = 1 -5/6²

= 11/36

BnA = one die being 6 and summation being equal to 8

= BnA = (6,2)(2,6)

= P(BnA) = 2/36

Therefore we have (2/36)/(11/36)

= 2/11

Answer:

B=1 M=6 D=3

Step-by-step explanation:

the equations are 4M+4D+2B=38

                               M+D+B=10

                              2D=M

step two: 4M+4D+2B=38 (multiply 2nd equation by -4)

               -4M-4D-4B=-40

4M AND 4D cancels out and your left with -2B=-2 B=1

then you take the first equation and subsitute the third equation for M

step three:  M+D+1 =10 (SUBSITUTE B WITH 1)

M+D=9

STEP FOUR: take the last equation (M+D=9) and subsitute 2D=M

2D+D=9

3D=9

D=3

subsitute D=3 into 2D=M  so you get 2(3)=M M=6

DOUBLE CHECK USE THE SECOND EQUATION

M+D+B=1-

6+3+1=10

The required number of mice, deers, and birds are 3, 6, and 1 respectively.

In mathematics, it deals with numbers of operations according to the statements.

Here,
Let the number of mice be x and the number of birds is y
Number of Deers  = 2x
There are a total of 10 animals,
mice + deer + bird = 10
x + 2x + y =  10
3x + y = 10
y = 10 - 3x  - - - - - - -(1)

Legs of mouse = 4
Legs of deers = 4
Legs of birds = 2

Total number of legs = 38
4x + 4 * 2x + 2y = 38
4x + 8x + 2y =38
12x + 2y = 38 - - - - - - - (2)
Solving equations 1 and  2
12x + 2(10 -3x ) = 38
12x + 20 - 6x = 38
6x = 18
x = 3
Put x in equation 1
y = 10 - 3 * 3
y = 1

Now,
Mice= x = 3
Deers = 2x = 2 *3 = 6
Bird = y = 1

Thus, the required number of mice, deers, and birds are 3, 6, and 1 respectively.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ2

Answer:

6

Step-by-step explanation:

just put 6.00 bro it divides evenly

Step-by-step explanation:

Hey, there!

Let's simply solve it.

As there is given that L and M are parallel. Use all the condition or properties of parallel lines.

Here use:

Now,

angle 6= 38° { Vertically opposite angle}.

angle 6 + angle 5 = 180° { as sum of coointerior angles are equal to 180°}

38°+angle 5 = 180°

or, angke 5 = 180°-38°

Therefore, angle 5 = 142°

Now, angle 3 = angle 5 { Vertically opposite angle}

Therefore, the measure of angle 3 is 142°.

[tex]hope \: it \: helps...[/tex]

Answer: 142

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

money he has now is 150% of what he had in the beginning

300 = 1.5x

x = 200

if he had $200 in the beginning, you add half of that to itself (200 + 100 = 300)

(-4)³ = (-4)(-4)(-4) = 16(-4) = - 64

(-7)² = (-7)(-7) = 49

(-)×(-) = +

(-)×(+) = -

Answer:

0=0

Step-by-step explanation:

50x+34=50x+34

50x=50x

50x - 50x = 50x - 50x

0=0

Answer:

5(6x + 2)+4(5x+5)+4=50+34

multiply it then collect like terms

30x+15x+10+15+15+4=50+34

45x +54=50+34

so the 54 will cross over to the other side making it to be -54

45x=50+34-54

45x=30

the u divide both sides by 45

x= 45÷30

x=0.67

Answer:

t = 8 / n

Step-by-step explanation:

Time (t) and the number of workers (n), which are inversely proportional.

t = k (1/n)

t = k / n

Where,

t= time it will take workers to finish their job

n = number of workers doing the job

k = constant of proportionality

He estimates that it would take 2 days for 4 workers to wash the windows.

t= 2 days

n= 4 workers

t = k / n

2 = k / 4

Cross product

2*4 = k

8 = k

The relationship between time an number of workers is

t = k / n

t = 8 / n

Answer:

Step-by-step explanation:

t= 8/n

Answer:

x = 12

Step-by-step explanation:

the other explanation might be confusing so here is the answer again to sum it up

Answer:

0.1492

Step-by-step explanation:

Mean (m) = 9.5

Standard deviation (sd) = 3.4

Number of observations (n) = 50

Computing the test statistic :

X = 10

Z = (x - m) / standard error

Standard Error = sd/sqrt(n)

Z = (x - m) / (sd/sqrt(n))

Z = (10 - 9.5) / (3.4/sqrt(50))

Z = 0.5 / 0.4808326

Z = 1.0398 = 1.04

Using a P-value calculator, we can obtain the critical value with α = 0.10, hence, the critical value = 0.14917

= 0.1492

Answer:

The distributive property is used when we have to multiplicate a parenthesis:

[tex]a*(b+c) = ab+ac[/tex]

So the corrects andwer is A) 3x + 4(y-z) = 3x + 4y - 4z, because:

[tex]3x + 4(y-z) = 3x + 4*y + 4*(-z) = 3x + 4y - 4z[/tex]

B is incorrect, as [tex]3x + 3y + 3z 27\neq xyz[/tex]

C is correct, as a number plus his opposite is always 0.

D is correct, but that's the associate property as it's correct that for any three numbers of an associative set, there's another operation with verifies the equality.

Answer:

See below

Step-by-step explanation:

1.  C = 2(3.14) for r

   r = C / 3.28

2.  A = 1/2 b h  for b

    b = A2 / h

3.  y = Mx + b for x

    y - b = Mx

    x = (y - b) / M

4.  A = 1/2 (a + b) h for  h

    A = (1/2a + 1/2b)h

    A = 1/2ah + 1/2bh

    A = (a + b) h / 2

    h = 2A / (a + b)

5.  V = (3.14) r² h  for h

   h = V / (3.14 r²)

Answer:

A. -4 and 4

B. No solution.

Step-by-step explanation:

The given equation is

[tex]\dfrac{3}{x+4}+\dfrac{2}{x-4}=\dfrac{16}{(x+4)(x-4)}[/tex]

A.

Equate the denominators equal to 0 to find the restrictions on the variable.

[tex]x+4=0\Rightarrow x=-4[/tex]

[tex]x-4=0\Rightarrow x=4[/tex]

Therefore, [tex]x\neq -4,4[/tex].

B.

We have,

[tex]\dfrac{3}{x+4}+\dfrac{2}{x-4}=\dfrac{16}{(x+4)(x-4)}[/tex]

[tex]\dfrac{3(x-4)+2(x+4)}{(x+4)(x-4)}=\dfrac{16}{(x+4)(x-4)}[/tex]

Multiply both sides by (x-4)(x+4).

[tex]3x-12+2x+8=16[/tex]

[tex]5x-4=16[/tex]

Add 4 on both sides.

[tex]5x=16+4[/tex]

[tex]5x=20[/tex]

Divide both sides by 5.

[tex]x=4[/tex]

Here the solution is x=4 but it is the restricted value.

Therefore, the given equation has no solution.

For the given rational equation, we have that:

The rational equation given in this problem is:

[tex]\frac{3}{x + 4} + \frac{2}{x - 4} = \frac{16}{(x + 4)(x - 4)}[/tex]

Then, applying the least common factor:

[tex]\frac{3(x - 4) + 2(x + 4)}{(x + 4)(x - 4)} = \frac{16}{(x + 4)(x - 4)}[/tex]

[tex]\frac{5x - 4}{(x + 4)(x - 4)} - \frac{16}{(x + 4)(x - 4)} = 0[/tex]

[tex]\frac{5x - 20}{(x + 4)(x - 4)} = 0[/tex]

Item a:

The denominator cannot be zero, hence:

[tex](x + 4)(x - 4) \neq 0[/tex]

[tex]x \neq -4[/tex]

[tex]x \neq 4[/tex]

The values of the variable that make(s) the denominators zero are x = -4 and x = 4.

Item b:

[tex]5x - 20 = 0[/tex]

[tex]5x = 20[/tex]

[tex]x = \frac{20}{5}[/tex]

[tex]x = 4[/tex]

However, x = 4 makes the denominator zero, hence the equation has no solution.

You can learn more about rational functions at https://brainly.com/question/13136492

Answer:

l = 58.5

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out equation

112 = 2l - 5

Step 2: Isolate term l by adding 5 on both sides

117 = 2l

Step 3: Isolate l by dividing both sides by 2

117/2 = l

Step 4: Evaluate

l = 58.5

Answer:

[tex]\Large \boxed{l = \frac{117}{2}}[/tex]

Step-by-step explanation:

Let the length be [tex]l[/tex].

[tex]112 = 2 l - 5[/tex]

Adding 5 to both sides.

[tex]112 +5= 2 l - 5+5[/tex]

[tex]117 = 2 l[/tex]

Dividing both sides by 2.

[tex]\displaystyle \frac{117}{2} = \frac{2 l}{2}[/tex]

[tex]\displaystyle \frac{117}{2} = l[/tex]

Answer:

a. [tex] 9a^3 - 9ab^2 [/tex]

b. [tex] 9a(a^2 - b^2) [/tex]

Step-by-step explanation:

a.

[tex] Volume = l*w*h [/tex]

[tex] Volume_{smaller} = l*w*h [/tex]

Where, [tex] l = 9a, w = b, h = b [/tex]

[tex] Volume_{smaller} = 9a*b*b = 9ab^2 [/tex]

[tex] Volume_{larger} = l*w*h [/tex]

Where, [tex] l = 9a, w = a, h = a [/tex]

[tex] Volume_{smaller} = 9a*a*a = 9a^3 [/tex]

Volume of the shaded figure = [tex] 9a^3 - 9ab^2 [/tex]

b. [tex] 9a^3 - 9ab^2 [/tex] expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

[tex] 9a^3 - 9ab^2 = 9a(a^2 - b^2) [/tex]

Answer:

you need 17 parts copper and 3 parts tin in order to make brass

1. ratio of copper with respect to brass: 17:20

  ratio of tin with respect to brass: 3:20

  ratio of tin with respect to copper:   3:17

2. percentage of tin required in brass:  fraction of tin in brass X 100

  3/20 X 100 = 15%

3. if we used 150 kg tin in the alloy, then 150 kg is 15 % of the alloy

  (from last answer)

  150/x X 100 = 15%

  x = 1000 kg

if the total brass formed is 1000 kg, and 150 kg of it is tin,

copper used = 1000 - 150 = 850 kg copper

Answer:

y > 7

Step-by-step explanation:

2y > 20-6

2y > 14

2y/2 > 14/2

y > 7

Answer: y>y (graphing see below)

Step-by-step explanation:

2y+6>20

    2y>14

      y>7

Hope this helps!! :)

Please let me know if you have any question