How many 5/8 pound bags does it take to get 16 pounds of soil?

A border to surround a picture is to be cut from a 10 1/2 in by 10 1/2 in mat board. If picture is 8 3/4 in by 8 3/4 in what is

Lilit [14]

Since the dimensions of the length and width are equal, then the board and the picture are squares. The width of the board is the margin surrounding the picture. Let's denote the width to be x. The length of the picture plus the length of the width at both ends should equal the length of the board. So, the equation should be:

10 1/2 in = 8 3/4 + 2x
Solving for x
x = 7/8 inches

3 0

3 years ago

PLZ HELP ASAP WILL MARK BRAINLIEST:

Andreas93 [3]

Answer:

Choice 2.

Step-by-step explanation:

Multiply every number by two to get to the next points. This new triangle cannot be congruent to the first one because congruent means it is exactly the same. The new triangle is similar because its measurements are different.

Hope this helps!

brainliest?

:)

(:

:)

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-Josh

7 0

2 years ago

What is the solution to 3 + 4e^x+1 = 11?

Alexandra [31]

What is the solution to 3 + 4e^x+1 = 11?

Solution:

$3+4e^{x+1}=11$

To solve for x, Let us subtract 3 from both sides

$3+4e^{x+1}-3=11-3$

$0+4e^{x+1}=8$

$4e^{x+1}=8$

Let us divide by 4 on both sides

$\frac{4e^{x+1}}{4} =\frac{8}{4}$

$\frac{1e^{x+1}}{1} =\frac{2}{1}$

$e^{x+1} =2$

Let us take ln on both sides

$ln (e^{x+1}) =ln(2)$

So, x+1=ln(2)

To solve for x, Let us subtract 1 from both sides

x+1-1=ln(2) -1

x+0=ln(2)-1

x= ln(2) -1

Answer: Option (A)

x=ln(2)-1

8 0

3 years ago

Read 2 more answers

Joseph, después de hacer compras, piensa de la siguiente forma: "Gasté los 3/5 de lo que no gasté y aún me quedan S/. 60 más de

earnstyle [38]

Answer:

Joseph tenía 240 soles

Step-by-step explanation:

Tenemos lo siguiente

Cantidad total = Cantidad gastada + Cantidad restante.

Sabemos que Cantidad gastada = 3/5 Cantidad restante y que Cantidad restante = Cantidad gastada + 60.

Sea x la cantidad gastada e y la cantidad restante. Tenemos las ecuaciones

$x = \frac{3}{5}y, y = x+60$

Reemplazando la segunda en la primera, tenemos que

$x = \frac{3}{5}(x+60)= \frac{3}{5}x + 36$ (aquí simplemente distribuímos la multiplicación.

Restando 3/5 x a ambos lados, tenemos que

$x-\frac{3}{5}x = \frac{2}{5}x = 36$

Multiplicando por 5 y dividiendo por dos ambos lados, tenemos que

$x=\frac{5\cdot 36}{2} = 90$

Es decir, Joseph gastó 90 soles. Entonces y = 90+60 = 150 soles.

Es decir, en total, Joseph tenía 150+90= 240 soles.

7 0

3 years ago

Write an explicit rule in function form for the sequence represented by the given terms.

hram777 [196]

Answer:

The general relation about a geoemtric sequence is

$a_{n}=a_{1}r^{n-1}$

For the first sequence, we have

$3=a_{1}r^{5-1}$

$147=a_{1}r^{7-1}$

Which is a system of equations. We can isolate a variable in the first equation to replace that expression into the second equation.

$a_{1}=\frac{3}{r^{4} }$

$147=\frac{3}{r^{4} }r^{6}$

$r^{2}=\frac{147}{3}\\ r=\sqrt[2]{49}\\r=7$

Now, we replace this value to find the other one

$3=a_{1}(7)^{4}\\ a_{1}=\frac{3}{2401}$

Therefore, the explicit rule function is

$a_{n}=\frac{3}{2401} \times (7)^{n-1}$

Now, we use the same process for the second sequence.

$10=a_{1}r^{3-1} \\a_{1}=\frac{10}{r^{2} }$

The second equation is

$1440=a_{1}r^{5-1}\\a_{1}=\frac{1440}{r^{4} }$

Now, we solve the following expression

$\frac{10}{r^{2} }=\frac{1440}{r^{4} }$

We solve for $r$

$\frac{r^{4} }{r^{2} }=\frac{1440}{10}\\r^{2}=144\\ r=\sqrt{144} \\r=12$

Then

$a_{1}=\frac{10}{(12)^{2} } =\frac{10}{144}=\frac{5}{72}$

Therefore, the function that models the second sequence is

$a_{n}=\frac{5}{72} \times (12)^{n-1}$

Notice that $a_{n}$ is the dependent variable and $n$ is the independent variable.

5 0

3 years ago