the average age of eight boys is 17 years. find the sum of their ages.​

Answer:

ngle 6 is 30 degrees. Angle 6 and angle 7 are vertical angles, so they are equivalent. Also, Angle 7 and angle 5 are supplementary, so angle 5 is 180-30 = 150 degrees.i think it is the answer

Answer:

5/8 ft more

Step-by-step explanation:

3/4-1/8=5/8

6/8-1/8=5/8

ur question is incompleteness

The value of the investment at the end of 3 years would be [tex]\£7,524.6[/tex].

Used the formula of the total amount that is,

[tex]A = P (1 + r)^n[/tex]

Where A = Total amount.

P = Principal amount

r = Interest rate (in decimal form)

n = Number of years

Given that,

Chloe invests £6500 for 3 years at 5% per annum compound interest.

Here the given values are,

P = £6500

n = 3 years

r = 5% = 0.05

Substitute all the values in the above formula,

The value of the investment at the end of 3 years is,

[tex]A = P (1 + r)^n[/tex]

[tex]A = \£6500 (1 + 0.05)^3[/tex]

[tex]A = \£6500 \times (1.05)^3[/tex]

[tex]A = \£6500 \times 1.05 \times 1.05 \times 1.05[/tex]

Therefore, the investment at the end of 3 years is,

[tex]A = \£7,524.6[/tex]

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Answer:

11

expression: 6(2)-1

Step-by-step explanation:

6*2=12

12-1=11

Step-by-step explanation:

your teacher wrote most of the solution in this picture.

all we need to do is simplify and transform the equation

28/4 = 21/N

7 = 21/N

7N = 21

N = 21/7 = 3

formally, the ratio of corresponding (side) lengths is the same for all corresponding sides or other lines (like heights) in similar shapes.

so, the rate 28/4 = 7/1 = 7 asked also to 21 and N.

28/7 = 4

and

21/7 = N = 3

Answer:

[tex]\huge\boxed{\boxed{N=3}}[/tex]

Step-by-step explanation:

Hello.

We have the proportion

[tex]\displaystyle\frac{28}{4} =\frac{21}{N}[/tex]

In order to solve a proportion, we should cross-multiply:

28×N=4×21

28N=84

Divide both sides by 28.

N=3

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

the answer is 8

Step-by-step explanation:

I'm right, i know that for sure

45+63+(4x-12)= 180°

96+4x = 180°

4x=84

x = 21

Step-by-step explanation:

x = cost of a small box

y = cost of a large box

16x + 14y =343

13x + 23y = 470.5

now we multiply both equations with factors so that we have the same number of x in both (we could the same for y, but I simply picked x, because their original factors are closer and smaller).

and then we subtract the second equation from the first and since the result for y.

13 × (16x + 14y = 343)

16 × (13x + 23y = 470.5)

gives us

208x + 182y = 4459

- 208x + 368y = 7528

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

0x - 186y = -3069

186y = 3069

y = $16.50

now let's pick e.g. the first original equation to get x :

16x + 14y = 343

16x + 14×16.5 = 343

16x + 231 = 343

16x = 112

x = $7.00

the cost of a small box is $7.00

the cost of a large box is $16.50

Answer:

5773185

Step-by-step explanation:

There are 110 seats

110 ways to choose the first empty seat

Now there are 109 seats

109 ways to choose the next empty seat

Now there are 108 seats

108 ways to choose the next empty seat

Now there are 107 seats

110*109*108*107=138556440

Now the order of the empty seats doesn't matter so we need to divide by 4!

138556440/ 4!

138556440/ 24

5773185

Answer:

6600ft.² is the correct answer.

Step-by-step explanation:

Given that,

[tex] \: [/tex]

To Find:

[tex] \: [/tex]

Solution:

Area of Cylindrical tank to be painted = CSA of the Cylindrical tank + Area of the circle

[tex] \star \quad{ \boxed{ \green{CSA_{(Cylinder)} = 2 \pi r h }}} \quad \star[/tex]

[tex]\star \quad{ \boxed{ \green{Area_{(Circle)} = \pi {r}^{2} }}} \quad \star[/tex]

[tex] \longrightarrow \: 2\pi rh \: + \pi {r}^{2} [/tex]

[tex]\longrightarrow \: \pi r(2h + r)[/tex]

[tex]\longrightarrow \: \frac{22}{7} \times 30 \times(2\times20+30) [/tex]

[tex]\longrightarrow \: \frac{660}{7} \times (40 + 30)[/tex]

[tex]\longrightarrow \: \frac{660}{7} \times 70 [/tex]

[tex]\longrightarrow \: 660 \times 10[/tex]

[tex]\longrightarrow \: 6600 {ft.}^{2} [/tex]

Hence, Area of the Cylindrical tank to be painted is 6600ft.²

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{ \red{More \: Formulae}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

Answer: set up the relation as a table or ordered pairs

Step-by-step explanation: the domain has to be matched with exactly one element in the range.

Answer:

The roots of the given equation are x = 0 and x = -8.

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Quadratic Equations

Step-by-step explanation:

Step 1: Define

Identify.

y = x² + 8x

Step 2: Find Roots

∴ the roots of the quadratic equation y = x² + 8x is equal to 0 and -8.

---

Topic: Algebra I

Answer:

x=3

Step-by-step explanation:

[tex]2(5x - 3) = 24\\\\10x-6=24\\\\10x=24+6\\\\10x=30\\\\x=30/10\\\\x=3[/tex]

Answer:

open the bracket by multiplying everything in the bracket by2

then you get

2×5x-2×-3=24

10x-6=24

10x=24+6

10x=30

x=3

Answer:

13

Step-by-step explanation:

25-12=13

Answer:

she would have 13 marbles

Step-by-step explanation:

25-12=13

because she have 25 marbles in total (after buying them) and she got 12 marbles before she bought them so it would be 13.

Answer:

1/6

Step-by-step explanation:

Probability = favorable outcomes/total outcomes

favorable outcomes, 1: there is only one 6 on a dice.

Total outcomes, 6: there 6 numbers on a dice.

Create the fraction

1/6

Step-by-step explanation:

Since the axis of symmetry is the x axis, we have a sideways parabola,

[tex] {y}^{2} = x[/tex]

Since the vertex is at the orgin, our answer will be

[tex]a(y - k) {}^{2} + h = 0[/tex]

[tex]a {y}^{2} = x[/tex]

It passes through (3,2).

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

[tex]a(4) = 3[/tex]

[tex]a = \frac{3}{4} [/tex]

So our function is

[tex] \frac{3}{4} {y}^{2} = x[/tex]

Answer:

[tex]x=\dfrac34y^2[/tex]

Step-by-step explanation:

A graph with x-axis symmetry means that for every (x, y) point there is also a (x, -y) point on the graph, i.e. the x-axis acts like a mirror.  Therefore, it is a sideways parabola.

The general form of this type of equation is [tex]x=ay^2+by+c[/tex]

Since we know that the curve has a vertex of (0, 0) then [tex]c=0[/tex]

Therefore, [tex]x=ay^2+by[/tex]

Given that (3, 2) is on the curve, then (3, -2) is also on the curve.

Substituting the given point (3, 2):

[tex]3=a(2)^2+b(2)[/tex]

[tex]3=4a+2b[/tex]

Substituting the given point (3, -2)

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

[tex]3=4a-2b[/tex]

Adding the equations together to eliminate [tex]b[/tex]:

[tex]\implies 6=8a[/tex]

[tex]\implies 3=4a[/tex]

[tex]\implies a=\dfrac34[/tex]

Therefore,

[tex]x=\dfrac34y^2+by[/tex]

Again, substituting point (3, 2) means that b = 0

Therefore, the final equation is:

[tex]x=\dfrac34y^2[/tex]

Answer: On my graph it says -5

Step-by-step explanation:

Hope you like the solution. Please mark me as brainlist.

Hope you like this helps.If you have any problems I will help u.

Answer:

  9+59=68

Step-by-step explanation:

Each subtraction problem has a dual addition problem that can be used for checking. In general, that dual problem will add the subtrahend back to the difference to get the minuend.

Here we have ...

  original problem: 68 -59 = 9

  dual problem for checking: 9 +59 = 68

Answer:

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

The value of x in the triangle are opposite side .

Step-by-step explanation:

if there were 10 tables at the company's luncheon and the company ordered 25 pizzas then each table should have 2.5 pizzas or 2 whole number

1/2 pizza or 5/2 pizza .

Answer: y = x + 5

Step-by-step explanation:

If x>5:

Then all of these values will be positive. So the absolute value symbols are unnecessary!

so we can re-write as:

y = x-3 + x+3 - x + 5

which simplifies to:

y = x + 5

The equation is rewritten without absolute value is y=3x-6.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.

The given equation is y=|x-3|+|x+2|-|x-5|.

Here, y=x-3+x+2-x-5

y=3x-6

Therefore, the equation is rewritten without absolute value is y=3x-6.

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Answer:

  4155 years

Step-by-step explanation:

The exponential equation can be solved by using logarithms to transform it to a linear equation.

The problem statement tells you that for some initial amount of C-14 equal to N0, the remaining amount is N = 0.66N0. That means the equation you need to solve is ...

  0.66 = e^(-0.0001t) . . . . . . factor of N0 in 0.66N0 and N0·e^() divided out

Taking natural logs, you have ...

  ln(0.66) = -0.0001t

  t = -ln(0.66)/0.0001 ≈ 4155

The age of the spear head is about 4155 years.

351 members

Multiply .65 by 540 which gives you 351.

Answer:

25%

Step-by-step explanation:

Given the following question:

0.25 = 25__

To find the answer simply convert the decimal into a percent by multiplying the decimal by a hundred.

0.25 = 25_
[tex]0.25 \times100=25[/tex]
[tex]=25[/tex]

0.25 is equal to "25%."

Hope this helps.

Answer:

100

Step-by-step explanation:

25/100=.25

Hope this helps you! (:

Answer:

False

Step-by-step explanation:

2x6=12

2x6=1212-3=9

Hence, the equation is false.

Step-by-step explanation:

x and y trade places.

y = 2x² - 4

y + 4 = 2x²

x² = (y + 4)/2

x = ±sqrt((y + 4)/2)

and for the usual notation we rename x to y and vice versa

y = ±sqrt((x + 4)/2)

and this is not a function, because there are now 2 result values for every input value.

Answer:

20%

Step-by-step explanation:

First month = 4264 phone calls

Second month = 25% more phone calls than the first month

⇒ second month = 4264 × 1.25 = 5330

Third month = 6396 phone calls

[tex]\mathsf{percentage \ change=\dfrac{|final \ value - initial \ value|}{initial \ value}\times 100\%}[/tex]

[tex]\implies \mathsf{percentage \ change=\dfrac{6396 - 5330}{5330}\times 100\%}[/tex]

[tex]\implies \mathsf{percentage \ change=\dfrac{1}{5}\times 100\%}[/tex]

[tex]\implies \mathsf{percentage \ change=20\%}[/tex]