Last year our city had 3,483 children. This year the number of children doubled. How many children are there now?​

Answer:

[tex]x\leq 76[/tex]

Step-by-step explanation:

Let x = unknown number

[tex]\implies \dfrac89 \times (x-4)\leq 64[/tex]

[tex]\implies \dfrac{8(x-4)}{9}\leq 64[/tex]

Multiply both sides by 9:

[tex]\implies 8(x-4)\leq 576[/tex]

Expand brackets:

[tex]\implies 8x-32\leq 576[/tex]

Add 32 to both sides:

[tex]\implies 8x\leq 608[/tex]

Divide both sides by 8:

[tex]\implies x\leq 76[/tex]

Let the number be x

[tex] \sf \frac{8}{9} (x - 4) \leqslant 64[/tex]

Note that

Solve the equation for x ~

[tex] \sf \: x - 4 \leqslant 72[/tex]

[tex] \sf \: x \leqslant 72 + 4[/tex]

[tex] \boxed{ \tt \: x \leqslant 76}[/tex]

Answer:

59 more people

Step-by-step explanation:

10% of 585 is 58.5. If you round, that's 59

Answer:

Step-by-step explanation:

[tex](a^{m})^{n}=a^{m*n}\\\\\\a^{m}*a^{n}=a^{m+n}[/tex]

[tex](6ab)^{3}*(5a^{-3})^{2} = 6^{3}*a^{3}*b^{3}*5^{2}*(a^{-3})^{2}\\\\[/tex]

                         [tex]= 6^{3}*5^{2}*a^{3}*b^{3}*a^{-3*2}\\\\=216*25*a^{3}*b^{3}*a^{-6}\\\\\\=5400a^{3+(-6)}*b^{3}\\\\\\=5400a^{-3}b^{3}[/tex]

Answer: 45.1

Step-by-step explanation:

The area of the figure is about 45 square cm.

A triangle is a polygon with 3 sides.

Given the quadrilateral ABCD.

The sum of the interior angles of a triangle is 180°, therefore,

44° + 38° + m∠C = 180°

m∠C = 180° - 44° - 38°

m∠C = 98°

Now, using the sine law in triangle BDC, it follows:

sin44°/ BC = sin98°/10

BC = (10·sin44°)/ sin98°

BC ≈ 7

The area of a triangle is half the product of its two sides and the sine of the included angle, therefore, the area of triangle BDC is:
A₁ = (1/2)× 10×7× sin38°

A₁ = 21.5

Now, in triangle ABD,

cos55° = AD/10

AD = 10 cos55°

Similarly,

sin55° = AB/10

AB = 10sin 55°

Hence, the area of the triangle ABD is:

A₂ = (1/2) × (10 cos55°) ×(10sin 55°)

A₂ = 23.5

Therefore, the total area of the figure is:

A = A₁ + A₂

A = 21.5 + 23.5

A = 45.0

Hence, the area of the figure is about 45 square cm.

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Answer:

294in²

Step-by-step explanation:

Let the width be x

Perimeter = 2(length+width)

98 = 2(6x + x)

49 = 6x + x

49 = 7x

7 = x

The width is 7 and the length is 7 x 6 = 42

Area = length × width

42 × 7 = 294in²

Answer:

yes

Step-by-step explanation:

-14 = -12-2

-14 = -14

Answer:

7.71

Step-by-step explanation:

First off, the diameter is 3 and we know that the radius is always half of that (1.5). Since this is a semi-circle, we aren't going to multiply by 2 but instead we are going to add the diameter afterwards. So, we are going to do 1.5x3.14 which equals to 4.71. This is the part where you add the diameter which is 3. So, after you add it, you should then get 7.71!

Answer:

[tex]h(x)=-5x^2+10x-2[/tex]

Step-by-step explanation:

[tex]h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x) = -5 (x - 1)^2 + 3\\\\\implies h(x)=-5(x^2-2x+1)+3\\\\\implies h(x) = -5x^2+10x-5+3\\\\\implies h(x)=-5x^2+10x-2[/tex]

Answer:

35 degrees

Step-by-step explanation:

Vertical angles are congruent

The minimum amount of fencing she can use is 126.5 ft.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let x represent the length of the long side of pen and y represent the length of the small side of pen. Hence:

xy = 2000

x = 2000/y

The perimeter (P) is:

P = x + 2y

P = 2000/y + 2y

The minimum amount is at dP/dy = 0, hence:

dP / dy = 2 - 2000/y²

2 - 2000/y² = 0

2 = 2000/y²

y = 31.6 ft.

Also:

x(31.6) = 2000

x = 63.3

P = 63.3 + 2(31.6) = 126.5 ft.

The minimum amount of fencing she can use is 126.5 ft.

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Answer:

first you need to find the number-x

42% is equal to 0,42

( 100% .... 1

42% ..... y )

so 0,42 * x = 64,26 x = 64,26 / 0.42 = 153

so x = 153 is your number

then you have to calculate all % the same way:

10,5% equals to 0,105 ... 0,105 * 153 = 16,065

21% equals to 0,21 ... 0,21 * 153 = 32,13

63% ..96,39

84% ..128,52

Answer:

B) 2+4x=5-3x-3

Step-by-step explanation:

Terms and topics

PROBLEM:

[tex]2+4x=5-\left(3\cdot\left(x+1\right)\right)[/tex]

STEP 1:

Solve by distributing:

[tex]2+4x=5-\left(3x+3\cdot1\right)[/tex]

Simplify the arithmetic:

[tex]2+4x=5-\left(3x+3\right)[/tex]

Expand the parentheses:

[tex]2+4x=5-3x-3[/tex]

Group like terms:

[tex]2+4x=-3x+\left(5-3\right)[/tex]

Simplify the arithmetic:

[tex]2+4x=-3x+2[/tex]

STEP 2:

Group all x terms on the left side of the equation

[tex]2+4x=-3x+2[/tex]

Add 3x to both sides:

[tex]2+4x+3x=-3~x+2+3x[/tex]

Group like terms:

[tex]4x+3x+2=-3x+2+3x[/tex]

Simplify the arithmetic:

[tex]7x+2=-3x+2+3x[/tex]

Group like terms:

[tex]7x+2=-3x+3x+2[/tex]

Simplify the arithmetic:

[tex]7x+2=2[/tex]

Step 3:

Group all constants on the right side of the equation

[tex]7x+2=2[/tex]

Subtract 2 from both sides:

[tex]7x+2-2=2-2[/tex]

Simplify the arithmetic:

[tex]7x=2-2[/tex]

Simplify the arithmetic:

[tex]7x=0[/tex]

Isolate the X:

[tex]x=0[/tex]

Now we have to find the equivalent equation,

(NO STEPS  - MAXES OUT BRAINLYS CHARACTERS)

A) 2 + 4x = 2x - 3 = [tex]x=\frac{-5}{2}[/tex]

B) 2+4x=5-3x-3 = x = 0 ( since it's the correct answer, I have to prove how).

1. Simplify the expression

2+4x=5-3x-3

Group like terms:

[tex]2+4x=-3x+\left(5-3\right)[/tex]

Simplify the arithmetic:

[tex]2+4x=-3x+2[/tex]

2. Group all k terms on the left side of the equation

[tex]2+4x=-3x+2[/tex]

Add 3x to both sides:

[tex]2+4x+3x=-3~x+2+3x[/tex]

Group like terms:

[tex]4x+3x+2=-3x+2+3x[/tex]

Simplify the arithmetic:

[tex]7x+2=-3x+2+3x[/tex]

Group like terms:

[tex]7x+2=-3x+3x+2[/tex]

Simplify the arithmetic:

[tex]7x+2=2[/tex]

3. Group all constants on the right side of the equation

[tex]7x+2=2[/tex]

Subtract 2 from both sides:

[tex]7x+2-2=2-2[/tex]

Simplify the arithmetic:

[tex]7x=2-2[/tex]

Simplify the arithmetic:
[tex]7x=0[/tex]

Isolate the X:

[tex]x=0[/tex]

Now that we have analyzed and figured out each problems, using the process of elimination strategy to find our answer, we have finalized the correct answer.

So therefore, your answer is B.

Answer:

7 minutes = 3.5 miles

Step-by-step explanation:

Firstly,you have to divide 10 to 5 then you get 2 mins 1 mile.After that,you must divide 7 to 2 then you get 3.5 miles. Hope this will help you!

[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]

The given pair of angles doesn't form any special pair of angles provided in the options , hence the Correct choice is none of these.

Answer:

it is none of these

Step-by-step explanation:

Answer:

$98

Step-by-step explanation:

For this we will set the equations equal and cross multiply.

(4 / 28) = (14 / x)

4x = 392

x = 98

Answer:

add 23 plus 67

Step-by-step explanation:

hieo thanks again

Answer:

2

Step-by-step explanation:

Hard to explain on a computer, but if six goes on the other side it will add up to 12. Which now leave 2. :)

Answer:

  0.2776

Step-by-step explanation:

A suitable calculator can tell you the area with only the "work" of entering the numbers:

  normalcdf(0.59,10) = 0.2775953248

(From a TI-83)

The area of the shaded region is about 0.2776.

__

Additional comment

The area beyond 7 standard deviations from the mean is on the order of 1.3×10^-12, so "infinity" as a limit can be effectively replaced by any number more than 7 standard deviations from the mean. We have used 10 as a stand-in for "infinity", but 7 would do nicely in this context (above), where only 10 digits are displayed.

Answer:

4

Step-by-step explanation:

The slope for the given equation is 4.

Answer:

4

Step-by-step explanation:

Since the equation is written in y=mx+b form, we know that M is the value of the slope.

Since y=4x+5 is in slope intercept form, 5 would be (0,5) for y-Intercept

Answer:

117

Step-by-step explanation:

supplementary angles should add up to 180, and 117+63=180!

hope that helps :))

Answer:

117

Step-by-step explanation:

the supplement of 63 degrees is the angle measurement that makes is a straight line (180)

so 180-63=117

so your answer would

117 degrees

Answer:

D

Step-by-step explanation:

When we simplify the numbers below:

|-5.1| = 5.1

[tex](-2)^{3}[/tex] = -8

[tex]-\sqrt{24}[/tex] = -4.8

[tex]\sqrt{24}[/tex]= 4.8

[tex]-\sqrt{60}[/tex] = -7.7

When we line the decimals from least to greatest we get:

-8, -7.7, -4.8, 4.8, 5.1

Leaving D the correct answer

[tex](-2)^{3},-\sqrt{60},-\sqrt{24}, \sqrt{24}, |-5.1|\\[/tex]

Yes. Let's say the larger waffle is twice the size of the smaller waffle. 1/4 of the smaller waffle would be 2/8 of the larger waffle. 2/8 is equal to 1/4 so it's still technically the same size.

Answer:

X = -1

Step-by-step explanation:

Subtract 12 from both sides

Subtract 12 from 9 to get -3

Divide both sides by 3

Divide -3 by 3 to get -1

The solution to [tex]\sqrt{3x + 12} = 9[/tex] is x = 23 and it is not an extraneous solution

The equation is given as:

[tex]\sqrt{3x + 12} = 9[/tex]

Take the square of both sides

3x + 12 = 81

Subtract 12 from both sides

3x = 69

Divide through by 3

x = 23

Substitute x = 23 in [tex]\sqrt{3x + 12} = 9[/tex]

[tex]\sqrt{3 * 23 + 12} = 9[/tex]

Evaluate the sum and product

[tex]\sqrt{81} = 9[/tex]

The above equation is true

Hence, the solution to [tex]\sqrt{3x + 12} = 9[/tex] is x = 23 and it is not an extraneous solution

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Answer:

don't understand

but mean = summation x

total number

15=7+4+5+2x+11

5

15=27+2x

5

multiply both sides by 5

15×5=26+2x ×5

5

75=26+2x

75-26=2x

49=2x

2. 2

x= 24.5

Answer:

The area of rectangle is sq mi

hope its help

Answer:

The first is 12

The second is 25.35

Step-by-step explanation:

The second is confusing so sorry if I got that wrong

Please give brainelest

Answer:

Step-by-step explanation:

The decrease is found by multiplying the original amount by the percentage decrease:

  $6600 × 28.5% = $6600 × 0.285 = $1881

Jose's account decreased by $1881.

__

The remaining value is the original amount, less the amount of decrease.

  $6600 -1881 = $4719

At the end of last year, Jose had $4719 in his investment account.

Answer:

30,000 + 7,000 + 500 + 20 + 3

Step-by-step explanation:

What is 37,523 in expanded form?

30,000 + 7,000 + 500 + 20 + 3

Hope this helps!

Answer:

i know the answer its 13

Step-by-step explanation:

its 13