Solve this

4 ∙ 7 1/2 ∙ 1 3/5

Answer:

Yes, because 8n + 4 = 4(2n + 1) because of the distributive property. And about the 4 = 52 - 8n, that is also equivalent to the rest of them because of the associative property.

OR

You could just solve the math and show that they are equivalent.

Answer:

D Rotainon.

Step-by-step explanation:

The shape is flipped.

Answer:

See below

Step-by-step explanation:

a) 43.8 - 38 = 5.8 yrs

b) SD = 8.9 yrs    5.8 / 8.9 = .6517 SD   below the mean

(A z score merely shows how many standard deviations a score (age) is above or below the mean in SD units)

c) Z =     - .6517     Negative because it is BELOW the mean                                                                                   ( FYI    from z-score table: this is .2578  in percentage )

d) usual       ( it  (-.6517)  is between -2   and + 2  )

Answer:

Charlotte's age = 30 years

Olivia's age = 50 years

Step-by-step explanation:

Present ages of Charlotte & Olivia = 6:10.

Then, their present ages are:

Charlotte = 6x

Olivia = 10x

Now, in 10 years, their ratio = 4:6

Then,

Ratio of Charlotte's & Olivia's present age + 10 years each = Ratio of their ages in 10 years

[tex]\frac{6x + 10}{10x + 10} = \frac{4}{6} \\6(6x + 10) = 4 (10x + 10) \: \: \: \: [\mathrm{cross\: multiplication}]\\36x + 60 = 40x + 40\\36x - 40x = 40 - 60\\4x = 20\\\boxed{\bf\:x = 5}[/tex]

So,

Charlotte's present age [tex]= 6x = 6(5) = {\boxed{\bf\:30 \:years}[/tex]

Olivia's present age = [tex]10x = 10(5) = \boxed{\bf\:50 \: years}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

Answer:

1000

Step-by-step explanation:

The measure of the three angles are 46, 42 and 92 degrees respectively

A triangle is a shape that has 3sides and angles

Let the measure of the angles be x, y and z

If the second angle of a triangle is 4 less than the first angle, then;

y = x - 4

If the third angle is two times the first, then z = 2x

Since the sum of interior angle is 180 degrees, hence;

x + y + z = 180

x +x - 4 + 2x = 180
4x = 184
x = 46

Second angle = x - 4
Second angle = 42 degrees

Third angle = 2(46) = 92 degrees

Hence the measure of the three angles are 46, 42 and 92 degrees respectively

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Answer:

no thank you

Step-by-step explanation:

lol good day

Answer:

56

Step-by-step explanation:

((3*2)+1)*8

Answer:

1 pint equals 16 ozs. so the answer in 48

Answer:

[tex]D. \ \ x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

Step-by-step explanation:

ax² + bx + c = 0

[tex]a\left( x^{2}+\frac{b}{a} x+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}}{4a^2}+\frac{c}{a} \right) =0[/tex]

[tex]a\left( \left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a^2}\right) =0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} -\frac{b^{2}-4ac}{4a}=0[/tex]

[tex]a\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a}[/tex]

[tex]\left( x+\frac{b}{2a} \right)^{2} =\frac{b^{2}-4ac}{4a^2}[/tex]

[tex]x+\frac{b}{2a} =\frac{\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

[tex]x=\frac{-b\pm \sqrt{b^{2}-4ac} }{2a}[/tex]

The corresponding sides and angles of the both triangle would be congruent to each other.

An equation is an expression that shows the relationship between two or more numbers and variables.

△MNP is the image of △JKL after a reflection in the x-axis. Therefore, both triangles would be congruent.

The corresponding sides and angles of the both triangle would be congruent to each other.

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Answer:

each notebook costs $2

Step-by-step explanation:

21-5=16/8=$2

Answer:

you would have to very good at not blinking to but if your not I suggest not to because it will hurt also why not try to test it out ;)

Step-by-step explanation:

Answer:

30 books

Step-by-step explanation:

36 / 1.2 = 30

You can pack 30 books and it will not exceed 36 Kg.

- - -

Side Note:

We don't know how heavy the suitcase is...

Answer:

A) 400 + 72

Step-by-step explanation:

Let the certain number be denoted by x.

⇒ 5x = 40 [Equation 1]

⇒ 9x = 72 [Equation 2]

Multiply Equation 1 by 10 :

⇒ 10(5x) = 40(10)

⇒ 50x = 400 [Equation 3]

Finding the sum of Equation 2 and Equation 3 :

⇒ 50x + 9x = 400 + 72

⇒ 59x = 400 + 72

Hence, 59 times a certain number is represented by : 400 + 72

Answer:

59.5 miles

Step-by-step explanation:

1 in = 7 mi

7 x 8.5 = 59.5

Answer:

I think the answer is 12 and 19

Answer:

y-5.5=0 * (x+3)

Step-by-step explanation:

Answer:

152.5

Step-by-step explanation:

I think that might be the answer ( im not that good at math )

Using the Central Limit Theorem, it is found that the correct statement is given by:

bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex]

In this problem, for sophomores, we have that:

np = 32 x 0.18 = 5.76 < 10.

Hence the distribution cannot be normal, which means that the correct statement is:

bimodal because one population proportion is centered at 0.18, while the other is centered at 0.67.

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f - green (A)

f' - red (B)

f'' - blue (C)

The graph of f attains local extrema at the same points that f' = 0. There's evidence of this at x = 0 and between x = 3 and x = 3.5. (At both points, curve A attains a maximum, while curve B crosses the x-axis.)

Similarly, the graph of f' attains local extrema at the same points that f'' = 0. This is seen between x = 1.5 and x = 2. (B has a max, C crosses axis)

Also, the graph of A is continuous at x = 1.5 but exhibits a sharp turn, so at this point f is not differentiable and the graph of f' (and subsequently f'') is not continuous.

Step-by-step explanation:

that was just answered with the last question, where you asked for the help here ...

x = 50°.

Answer:

     y = 94

Step-by-step explanation:

Linear Pair:

The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180

2x + 36 = 180 {linear pair}

       2x  = 180 - 36

       2x = 144

Sum of all angles of a n-sided polygon = (n-2)*180

                                                                 = ( 6-2)*180

                                                                 = 4 * 180

                                                                  = 720

y + 144 + 111 + 105 + 165 + 101 = 720

                                  y + 626  = 720

                                             y = 720 - 626

                                            [tex]\sf \boxed{y = 94^ \circ}[/tex]

Answer:

94°

Step-by-step explanation:

2x + 36 = 180 (angles on a straight line)

2x = 180 - 36

2x = 144

2x = 144°

Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180

= 4 × 180

= 720

y + 144 + 111 + 105 + 165 + 101 = 720

y + 626 = 720

y = 720 - 626

y=94 °

The components of v are -2 and 1.

The components of a vector in two dimension coordinate system are usually considered to be x-component and y-component. It can be represented as, V = ([tex]v_x, v_y[/tex]), where V is the vector.

As, Vector v have an initial point at (6, -7) and a terminal point at (4, -6).

If initial point of vector [tex](x_1,y_1)[/tex] and terminal point is [tex](x_2,y_2)[/tex], then components of vector is

v= ([tex]x_2-x_1, y_2-y_1[/tex])

Initial point= (6,-7) and terminal point=(4,-6)

Then,

v= (4-6, -6-(-7))

v=(-2, 1)

Thus, the vector v=(-2, 1) have two components -2 and 1.

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Using the multiples of 5 and 6, it is found that she will be 25 years old next year.

They are given as follows, considering numbers less than 40:

This year, her age is a multiple of 6. Next year, her age will be a multiple of 5, hence, her age next year is a multiple of 5, whose predecessor is a multiple of 6, hence the only option is that she will be 25 years old next year.

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Convert the cm to feet for the base and the height:

12/2 = 6 x 3 = 18 feet

9/2 = 4.5 x 3 = 13.5 feet

area = 1/2 x base x height

Area = 1/2 x 18 x 13.5

Area = 121.5 square feet

answer: 121.5 square feet

Answer:

1/13

Step-by-step explanation:

Probability (lime chew) :

The probability that the next chew Alang removes from the bag will be lime chew is 1/13.

The likelihood or chance of an event occurring is quantified by probability. It is represented by a number between 0 and 1, with 0 denoting an impossibility and 1 denoting a certainty.

For instance, there is only one outcome (rolling a "6") that result in the desired event, hence the chance of rolling a "6" on a fair six-sided die is 1/6. (rolling a "6"). , there is a 1/6 chance of rolling any other number.

By dividing the number of times a lime chew was chosen by the total number of trials, the likelihood of choosing a lime chew could be computed (26).

The likelihood of choosing a lime chew is; 2/26, which reduces to 1/13 in basic form.

Therefore, 1/13 is the probability.

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Answer:

12 girls

28 boys

Step-by-step explanation:

Multiply 40 by 30/100 to get 12 girls.

Subtract 12 from 40 to get 28 boys.