In a shopping mall, 5/8 of the shoppers were female shoppers at first. A short
while later, 56 more female shoppers and 24 more male shoppers entered the
shopping mall. As a result, there were 100 more female shoppers than male
shoppers. How many shoppers were there in the shopping mall altogether
in the end?

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = - 3 }}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ \frac{x}{ - 4} = \frac{3}{4} }[/tex]

Do cross multiplication

[tex] \dashrightarrow{ \sf{x \times 4 = 3 \times ( - 4)}}[/tex]

[tex] \dashrightarrow{ \sf{4x = - 12}}[/tex] ( Multiplying a positive integer and negative integer gives a negative integer )

Divide both sides of the equation by 4

[tex] \dashrightarrow{ \sf{ \frac{4x}{4} = \frac{ - 12}{4} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = - 3}}[/tex]

Hope I helped!

Best regards! :D

Answer:

Your answer would be 7.

Step-by-step explanation:

Hope I helped!!!

Answer:

I googled it and it said that 29/37 as a decimal was 0.783783784

The required equivalent recurring decimal expression to 28/37 is given as [tex]0.\bar7\bar8\bar3[/tex].

An equivalent expression, equivalent to 29/37 is to determine.

Recurring Decimal is defined as also named repeating decimal, is a decimal number that only consists of repeating digits after a certain interval after the decimal. For example, 94.642642642..., 213.569569... etc.

Given fraction,
= 28/37
when dividing 28 by 37 the outcome is
= 0.783783783783.......
The above expression is a recurring decimal it can be transformed as [tex]0.\bar7\bar8\bar3[/tex] where the bars over the number show the repeating digits.

Thus, the required equivalent recurring decimal expression to 28/37 is given as [tex]0.\bar7\bar8\bar3[/tex].

More information about recurring decimal check it out here:
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Answer:

Step-by-step explanation:

2 2/3

Answer:

r = 15

Step-by-step explanation:

Line segments DG and GM add up to DM:

r + 3 + 4r - 28 = 50

5r - 25 = 50

5r = 75

r = 15

Answer:

15

Step-by-step explanation:

Given:

Solution:

Answer: 12,300

Step-by-step explanation: So you first locate the hinders a place. Then you look at the numbers behind it. If it is less than under 49 then you keep it at the hundred unit that it is at. In this case 300. That’s how you get it! Sorry I’m bad at explaining.

90 tiene 12 divisores:

1; 2; 3; 5; 6; 9; 10; 15; 18; 30; 45; 90

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\; 10\, \;\ \\ $ } }\\[/tex]

Step-by-step explanation:

What numbers are divisible by 90?

For this question, there are more than 1 answer. I am doing the number 10 because it is easier.

I have attached an image. You will have to turn the image because it was taken from mobile.

Hope this helps!

Answer:

b. common sides

c. from statement a and b

d. from statement c

f. from statement e

g. by SAS axiom

h. from statement g

Answer:

45

Step-by-step explanation:

Answer:

7 minutes

Step-by-step explanation:

Answer:

There are 6227020800  possible rankings

Step-by-step explanation:

Given

[tex]Athletes= 13[/tex]

Required

Number of Rankings

Let the number of athletes be n;

Since each athlete can only take one position at any given instance, the number of rankings is [tex]n![/tex]

Where [tex]n = 13[/tex]

Substitute 13 for n

[tex]13! = 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 *3 * 2 *1[/tex]

[tex]13! = 6227020800[/tex]

Hence, there are 6227020800  possible rankings

Answer:

Step-by-step explanation:

Given the coordinates F(b+1, a+2, M(3,5) and G(2a, 3b+3), if M is the midpoint of F and G then, to get the value of a and b we will use the formula for calculating the midpoint a shown;

M(X, Y) = (x₁+x₂/2, y₁+y₂/2)

X = x₁+x₂/2 and  Y = y₁+y₂/2

From the given coordinates x₁ = b+1, y₁ = a+2, x₂ = 2a, y₂ = 3b+3, X = 3 and Y = 5

Substituting the given parameters into the formula, we can get the value of a and b as shown;

3 = b+1+2a/2

6 = 2a+b+1

2a+b = 5 ............... 1

Similarly, for the Y coordinate;

5 = a+2+3b+3/2

10 =  a+2+3b+3

a+3b = 10-2-3

a+3b = 5 ........ 2

Solving equation 1 and 2 simulatneously using elimination method

2a+b = 5 ............... 1 * 1

a+3b = 5 ........ 2 * 2

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

2a+b = 5 ...........3

2a +6b = 10.......... 4

subtract 3 from 4

b - 6b = 5-10

-5b = -5

b = -5/-5

b = 1

substitute b =1 into equation 2 to get a;

a + 3b = 5

a + 3(1) = 5

a = 5-3

a = 2

From the calculation above it is seen that the value of variable a can be determined and it is equivalent to 2

Answer:

To determine the value of​ a, set up and solve a system of equations in two variables. The value of a is 2

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

So we have a number (let's call it x) and it was multiplied by 8 and added by 2. Therefore:

[tex]8x+2[/tex]

And we are told that the sum is equal to the product of 2 and 25 (or 50). Thus:

[tex]8x+2=50[/tex]

To find the number, we just need to find x. Thus, subtract 2 from both sides:

[tex]8x=48[/tex]

Divide both sides by 8:

[tex]x=6[/tex]

And we're done!

So, our original number was 6.

Answer:

what the answer is b

Step-by-step explanation:

hope this helped

Answer:

60

Step-by-step explanation:

x=48+12 Find what x is

x=60 X is 60

Answer:

The stickers are divided by groups of

2/10, 3/10 and 5/10

2/10 * 70 = 14

3/10 * 70 = 21

5/10 * 70 = 35

14 + 21 + 35 = 70

So, the stickers are allotted to the 3 children in a group of

14 to one child, 21 to another child, and 35 to the third child.

Step-by-step explanation:

Answer:

42 degrees

Step-by-step explanation:

Use a number line.

-13 - 13 = 0.

Now, we are at the base, 0. Then, add 29.

13 + 29 + 42.

The answer is 42. Hope it helps!

Answer:

c. 0.778 < p < 0.883.

Step-by-step explanation:

The formula for confidence interval for proportion =

p ± z score × √p(1 - p)/n

p = x/n

n = 195, x = 162

z score for 95% confidence Interval = 1.96

p = 162/195

p = 0.8307692308

p ≈ approximately equal to = 0.8308

0.8308 ± 1.96 × √0.8308 × (1 - 0.8308)/195

0.8308 ± 1.96 ×√0.8308 × 0.1692/195

0.8308 ± 1.96 × √0.0007208788

0.8308 ± 1.96 × 0.0268491862

0.8308 ± 0.052624405

Confidence Interval

= 0.8308 - 0.052624405

= 0.778175595

Approximately = 0.778

= 0.8308 + 0.052624405

= 0.883424405

Approximately = p

0.883

Therefore, the confidence interval for this proportion = (0.778, 0.883) or option c. 0.778 < p < 0.883

Answer:

translate 3 units up

Answer:0.75 just divide us top number by bottom ez

Step-by-step explanation:

Answer:

Continuous

Step-by-step explanation:

There is never a period of time when the water's flowing halts because the opening and closing of the first and second pipe are overlapping. Hope this helps (:

Answer:

2y - 12

Step-by-step explanation:

Correct answer choice is:

Answer:

$80.12

Step-by-step explanation:

Step 1:

$160.65 × 0.5

Answer:

$80.12

Hope This Helps :)

Answer:

160.65*0.05-8.0325

160.65-8.0325=152.6175 so $152.62

Step-by-step explanation:

Answer:

21 years

Step-by-step explanation:

Given

[tex]Initial\ Height = 4\frac{1}{2}[/tex]

[tex]Final\ Height = 40[/tex]

[tex]Difference = 1\frac{3}{4}[/tex]

Required

Determine the years it'll take to grow to the final height

This question depicts arithmetic progression and will be solved using

[tex]T_n = a + (n - 1)d[/tex]

Where

[tex]T_n = 40[/tex]

[tex]a = 4\frac{1}{2}[/tex]

[tex]d = 1\frac{3}{4}[/tex]

Substitute these values in the given formula;

[tex]40 = 4\frac{1}{2} + (n - 1)1\frac{3}{4}[/tex]

Convert all fractions to decimal

[tex]40 = 4.5 + (n - 1) * 1.75[/tex]

Open Brackets

[tex]40 = 4.5 + 1.75n - 1.75[/tex]

Collect Like Terms

[tex]1.75n = 40 - 4.5 + 1.75[/tex]

[tex]1.75n = 37.25[/tex]

Divide both sides by 1.75

[tex]n = \frac{37.25}{1.75}[/tex]

[tex]n = 21.2857142857[/tex]

[tex]n = 21[/tex] (Approximated)

The number of years it will take for the tree to have a height greater than 40 feet is 23 years

Given:

Height of the tree = 4 1/2 feet

Growth rate per year = 1 3/4 feet

Expected growth rate = 40 feet

Expected Number of years = y

The inequality:

4 1/2 + 1 3/4y > 40

Subtract 4 1/2 from both sides

1 3/4y > 40 - 4 1/2

7/4y > 40 - 9/2

7/4y > (80-9)/ 2

7/4y > 79/2

divide both sides by 7/4

y > 79/2 ÷ 7/4

y > 79/2 × 4/7

y > (79×4) ) (2×7)

y > (316) / 14

y > 22.57142857142857

Approximately,

y > 23 years

Therefore, number of years it will take for the tree to have a height greater than 40 feet is 23 years

Read more:

https://brainly.com/question/3153507

Answer:

0.2x+1???

Step-by-step explanation:

2x/3x+1=-3

-3=2x/3x+1

-3 x 3x + 1

-9x + 1

2x/-9x+1

0.2x+1

Answer:

[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin t\, dt = \pi -5[/tex]

Step-by-step explanation:

We want to evaluate the integral:

[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin(t)\, dt[/tex]

Since this is a product of two functions, we can use Integration by Parts. Recall that:

[tex]\displaystyle \int u\, dv = uv - \int v\, du[/tex]

Let u be t² - 3t and let dv be sin(t).

Thus:

[tex]du = 2t - 3\, dt[/tex]

And:

[tex]\displaystyle v = \int \sin t\, dt = - \cos t[/tex]

So:

[tex]\displaystyle =\left(-\cos t\right)\left(t^2-3t\right)\Bigg|_0^{\pi/2}-\int_{0}^{\pi/2} \left(-\cos t\right)\left(2t-3\right)\, dt[/tex]

Simplify:

[tex]\displaystyle = - \left(\cos t\right)(t^2-3t)\Bigg|_{0}^{\pi /2}+\int\limits^{\pi/2}_ {0} \,\cos(t)(2t-3)\, dt[/tex]

We can use IBP once more.

Let u be 2t - 3 and let dv be cos(t). Therefore:

[tex]du = 2\, dt[/tex]

And:

[tex]\displaystyle v = \int \cos t\, dt = \sin t[/tex]

So:

[tex]\displaystyle = - \left(\cos t\right)(t^2-3t)\Bigg|_0^{\pi/2}+\left(\sin(t)(2t-3)\Bigg|_0^{\pi /2}-\int\limits^{\pi/2}_0 \, 2\sin(t)dt \right)[/tex]

Evaluate:

[tex]\displaystyle =-\left(\cos t\right)(t^2-3t)+\sin(t)(2t-3)+2\cos(t)\Bigg|_0^{\pi /2}[/tex]

Evaluate the first section:

[tex]\displaystyle \begin{aligned} &= -\cos\left(\frac{\pi}{2}\right)\left(\left(\frac{\pi}{2}\right)^2-3\left(\frac{\pi}{2}\right)\right)+\sin\left(\frac{\pi}{2}\right)\left(2\left(\frac{\pi}{2}\right)-3\right)+2\cos \left(\frac{\pi}{2}\right)\right) \\ \\ &= (0) + (1)(\pi -3) + (0) \\ \\ &= \pi -3 \end{aligned}[/tex]

And the second:

[tex]\displaystyle \begin{aligned} &= -\cos(0)((0)^2-3(0))+(\sin(0))(2(0)-3)+2\cos(0 ) \\ \\&=(0)+(0)+(2) \\ \\ &= 2\end{aligned}[/tex]

Therefore:

[tex]\displaystyle \int\limits^{\pi/2}_ {0} \,(t^2-3t)\sin(t)\, dt = (\pi -3) -(2) = \pi -5[/tex]

Answer:

Answer. 5.0/5. 6.

Step-by-step explanation:

I am not doing step by step you should know this