Solve for a
1/12 a +21 = 25

Answer:

Step-by-step explanation:

Each half of a hanger divides the total weight in half. The right-most vertical has a total weight of 80/16 = 5. It consists of a square and a diamond, and we know the square is 1 more than the diamond. That means 2 diamonds weigh 5 -1 = 4. A diamond weighs 2, and a square weighs 3. The other half of that balance is a circle, which weighs 5.

The total of a square and oval is 10, so the oval is 10 -3 = 7. The two trapezoids weigh 20, so each is 10.

The second vertical from the left is a circle and diamond which will weigh 5+2 = 7. That makes the sum of a pentagon and rectangle also be 7. The 7+7 = 14 below the square on the left branch makes the total of that branch be 14+3 = 17, which is also the sum of the triangle and hexagon.

The weight below the rectangle at top left is 17+17 = 34, and the weight of that entire branch is 40. Thus the rectangle is 40-34 = 6, which makes the pentagon 7-6 = 1.

We require the sum of the triangle and hexagon be 17, with the triangle being the smaller value, and both being 9 or less (the trapezoid is the only figure weighing more than 9). Hence the triangle is 8 and the hexagon is 9.

The weights are summarized in the answer section, above.

Step-by-step explanation:

3 to the power of 5

3^5

= 3x3x3x3x3

= 243

Answer:

243

Step-by-step explanation:

3^5=243

Answer:

[tex]y=\frac{2}{5}x+2[/tex]

Step-by-step explanation:

(x1, y1) = (5, 4)

(x2, y2) = (0, 2)

First, find the slope. The slope formula is:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

I marked the 2 points above in that form, so you can plug those in here:

[tex]m=\frac{2-4}{0-5}\\\\m=\frac{-2}{-5}\\\\m=\frac{2}{5}[/tex]

The slope of this line is 2/5. Next, you can use that slope and whichever known point you want to find the y-intercept. Slope-intercept form is:

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

Plug in the slope we found for m and whichever point you want for (x, y):

[tex]2=\frac{2}{5}0+b[/tex]

Now, solve for b:

[tex]2=0+b\\b=2[/tex]

In this particular case, there wasn't much to be done. We already had a point at x = 0, and that is already our y-intercept. For similar problems though, that's how you would do it.

Finally, with both the slope and the y-intercept, you can write the equation:

[tex]y=\frac{2}{5}x+2[/tex]

Answer:

24 cans at Waitrose would be £10.05.

24 cans at Budgins would be £11.56.

Step-by-step explanation:

Times the waitrose offer by 3

Times the budgins offer by 4

Hope that helped. x

Answer:

V ≈ 552.9 cm³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × 4² × 11 = π × 16 × 11 = 176π ≈ 552.9 cm³ ( to the nearest tenth )

Answer:

The volume of Coke can is 552.64 cm².

Step-by-step explanation:

Given :

To Find :

Using Formula :

[tex]{\star{\small{\underline{\boxed{\sf{\red{V_{(Can)} = \pi{r}^{2}h}}}}}}}[/tex]

Solution :

Here's the Coke can is in cylindrical form.

So, finding the volume of Coke can by substituting the values in the formula :

[tex]{\dashrightarrow{\pmb{\sf{Volume_{(Can)} = \pi{r}^{2}h}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4)}^{2} \times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(4 \times 4)}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {(16)}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = 3.14 \times {16}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314}{100} \times {16}\times 11}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{314 \times 16 \times 11}{100}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{5024 \times 11}{100}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} = \dfrac{55264}{100}}}}[/tex]

[tex]{\dashrightarrow{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}[/tex]

[tex]\star{\red{\underline{\boxed{\sf{Volume_{(Can)} \approx 552.64 \: {cm}^{2}}}}}}[/tex]

Hence, the volume of Coke can is 552.64 cm².

Answer:

$48.6

Step-by-step explanation:

We have to use Unitary Method, means, we'll first have to find cost of one unit.

Hope it helps :)

Answer:

1468 in

Step-by-step explanation:

1) Find volume of entire figure

10*10*15=1500

2) Find volume of small piece that is cut out

2*4*4=32

3) Subtract smaller number from bigger number

1500-32=1468

Answer:

1,468 [tex]in^{3}[/tex]

Step-by-step explanation:

Volume = length * base * height

Volume = 10 * 10 *15

10 * 10 *15 = 1500

To get the object with a portion taken off, you would find the volume of the chunk taken off and subtract it from the whole object.

4 * 4 * 2 =32

1500-32 = 1468 in^3

Answer:

try B for an answer, hope it helps

Answer:

z^3 in -7xy^2z^3 = -117649/1 = -117649

Step-by-step explanation:

I think sorry if wrong

Answer:

3/8

Step-by-step explanation:

hope this helped

Answer: 576

Step-by-step explanation:

(I just know the powers of smaller numbers by memory so...)

2^6(2x2x2x2x2x2) = 64

You can simplify the second part( 2^3^3) by just multiplying the powers, 3x3 = 9 and 2^9 = 512

Final answer = 512 + 64 = 576

[tex]\\ \sf\Rrightarrow 2^6+(2^3)^3[/tex]

[tex]\\ \sf\Rrightarrow 2^6+2^9[/tex]

[tex]\\ \sf\Rrightarrow 64+512[/tex]

[tex]\\ \sf\Rrightarrow 576[/tex]

Option A is correct

Answer:

2/3(2)

=(2/3)(2/1)

=(2*2)/(3*1)

=4/3

Step-by-step explanation:

Answer:

4/3

Step-by-step explanation:

(2/3)2

(2/3)(2/1)=4/3

Using an exponential function, it is found that the population of bacteria in the culture after 13 hours is of 1,491,747.

An exponential function, with a doubling time of d, after t hours, is given by:

[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]

In this problem:

Then:

[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]

[tex]A(t) = 74000(2)^{\frac{t}{3}}[/tex]

After 13 hours:

[tex]A(13) = 74000(2)^{\frac{13}{3}} = 1491747[/tex]

The population of bacteria in the culture after 13 hours is of 1,491,747.

To learn more about exponential functions, you can take a look at https://brainly.com/question/25958656

Answer:

x1= 100 x2=99.999

Step-by-step explanation:

[tex]x^{0.5\log _{10}\left(x\right)}=0.01x^2[/tex]

[tex]0.5\log _{10}\left(x\right)\log _{10}\left(x\right)=\log _{10}\left(0.01\right)+2\log _{10}\left(x\right)[/tex]

u=log(x)

[tex]0.5uu=\log _{10}\left(0.01\right)+2u[/tex]

[tex]u=2+\sqrt{1.0E-15},\:u=2-\sqrt{1.0E-15}[/tex]

[tex]x=10^{2+\sqrt{1.0E-15}},\:x=10^{2-\sqrt{1.0E-15}}[/tex]

Answer:

[tex]to \: know \: \: the \: solution[/tex]

[tex]refer \: to \: the \: attatchment[/tex]

Answer: The answer is B. 34

Step-by-step explanation:

3(12−9)+5^2

=(3)(3)+5^2

=9+5^2

=9+25

=34

Answer:

The answer is 34

Step-by-step explanation:

Order of operation is P.E.M.D.A.S. , or parenthesis, exponents, multiplication or division, then addition or subtraction.

Answer:

36.7

Step-by-step explanation:

The penny reaches the water at 3.5 seconds

The height function is given as:

[tex]d = -16t^2 + 196[/tex]

(a) Graph the function

See attachment for the graph of the function

(b) Time to reach the water

From the graph, the curve of [tex]d = -16t^2 + 196[/tex] crosses the x-axis at points t = -3.5 and t = 3.5

But the time (t) cannot be negative.

Hence, the penny reaches the water at 3.5 seconds

Read more about height functions at:

https://brainly.com/question/10837575

Answer:

I.

II.

One and two are the correct ones

Step-by-step explanation:

Y goes up and down

X is side to side

so

x comes first in an ordered pair.

(I remember that by saying, "You need to find the room before you can ride the elevator)

Answer:

Equation: 6+2x=1

Step-by-step explanation:

Sum means addition and just add an x for the 2 times a number and set it equal to 1.

1 Simplify \frac{4}{15}x

15

4

x to \frac{4x}{15}

15

4x \frac{4x}{15}=1.44

4x =1.44

2 Multiply both sides by 1515.

4x=1.44\times 15

4x=1.44×15

3 Simplify 1.44\times 151.44×15 to 21.621.6.

4x=21.6

4x=21.6

4 Divide both sides by 44.

x=\frac{21.6}{4}

x= 4

21.65 Simplify \frac{21.6}{4} 421.6 to 5.45.4.

x=5.4

x=5.4

The value of x for the given equation in the mixed fraction will be -4 7/5.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.]

It is given that,−4/15x=1.44

Solve the equation for x,

x= -1.44 × 15/4

Convert the decimal values into the fraction as

x=-144/100 × 15/4

x= -27/5

A mixed number is one that includes both a correct fraction and a full number. Convert the given number into the mixed number as

x=-4 7/5.

Thus, the value of x for the given equation in the mixed fraction will be -4 7/5.

Learn more about the equation here,

https://brainly.com/question/10413253

#SPJ2

Answer:

7

Step-by-step explanation:

3x - y = 1

2x + 2y = 14

x = 2

y =  5

x + y = 2 + 5 = 7

[tex]12>-2(y-4)\\\\\implies -\dfrac{12}2 <y-4~~~;[\text{Dividing by a negative number, so reverse the inequality.}]\\\\\implies -6<y-4\\\\\implies -6+4<y\\\\\implies -2<y\\\\\implies y>-2\\\\\text{Interval,}~ (-2,\infty)[/tex]

Therefore, Liz received about 90 beads that were green.

Hoped this helped.

[tex]-BrainiacUser1357-[/tex]

Answer:

90

Step-by-step explanation:

10 is 10% of 100 so then 10 times 9 = 90.

Answer:

The equation of a basic sine function is f(x)=sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π. If b=12, the period is 2π12 which means the period is 4π and the graph is stretched.

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

180 - 100 = 80

(Meeting character limit)