4. Solve the following equations for the variable.
3x + 9 = 54

Answer:

3.36in

Step-by-step explanation:

The total surface area of the cardboard is expressed as;

TSA = 2(LW + LH + WH)

L is the length = 4in

W is the width

H is the height = 7in

TSA = 130in²

Substitute the given values into the formula and get the width W

TSA = 2(LW + LH + WH)

130 = 2(4W+4(7) + 7W)

130 = 2(11W+28)

130 = 22W+56

22W = 130 - 56

22S = 74

W = 74/22

W = 3.36in

hence the width of the photo is 3.36in

Answer:

131.25 miles.

Step-by-step explanation:

if 1 inch is equal to 25 miles then you need to multiply 5.25 by 25 which equals 131.25 miles.

The actual distance between two cities is 131.25 miles.

Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.

If a and b are two values, their ratio will be a:b,

Given that,

The scale of a map,

1 inch = 25 miles,

Also, the distance between two cities on the map is 5.25 inches.

To find the actual distance in miles.

Use ratio method,

1 inches = 25 miles,

5.25 inches = 25 x 5.25 miles

                    = 131.25 miles

The actual distance between cities is 131.25 miles.

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Answer:

It would be a obtuse triangle instead

Step-by-step explanation:

By using pythagorean and theorem (a^2 + b^2 = c^2)

So it would be 13^2___2^2 + 12^2

When you square them, you get 169___4 + 144

144 + 4 = 148, which is less than 169

SO it would be 169>148

So no, not a right triangle

Answer:

a rate

Step-by-step explanation:

A rate is a ratio that compares two different quantities that have different units of measure. A rate is a comparison that provides information such as dollars per hour, feet per second, miles per hour, and dollars per quart, for example. The word “per” usually indicates you are dealing with a rate.

Answer: are there choices?

Step-by-step explanation:

Step-by-step explanation:

sin 56 = 11/x

☓ = 11/ 5 Sin 56

= 13.3

Answer:

68.75

Step-by-step explanation:

to find the tax you multiply the total by the tax percentage 67.40 x .02 = 1.35

so the total for just tax is 1.35 so you add that to how much the groceries were originally

67.40+1.35=68.75

Answer:

The solution to the system of equations is [tex]\displaystyle \big(\frac{56}{29}, -\frac{16}{29}\big)[/tex].

Step-by-step explanation:

We are given a system of equations:

[tex]\displaystyle \left \{ {{-3x+4y=-8} \atop {8x-y=16}} \right.[/tex]

[tex]\displaystyle 8x - y = 16\\\\-y = -8x + 16\\\\\frac{-y}{-1}=\frac{-8x+16}{-1}\\\\y = 8x - 16[/tex]

Now, we've solved for y. So, we can substitute this into either equation and solve for x.

[tex]\displaystyle -3x + 4(8x -16)=-8\\\\-3x + 32x - 64 = -8\\\\29x - 64 = -8\\\\29x = 56\\\\\frac{29x}{29}=\frac{56}{29}\\\\x = \frac{56}{29}[/tex]

Now, we substitute our value for x into one of the original equations and solve for y.

[tex]\displaystyle 8\big(\frac{56}{29}\big)-y=16\\\\-y = 16 - 8\big(\frac{56}{29}\big)\\\\-y=\frac{16}{29}\\\\\frac{-y}{-1}=\frac{\frac{16}{29}}{-1}\\\\y = -\frac{16}{29}[/tex]

Therefore, the solution to our system of equations is:

Step-by-step explanation:

I believe it will be B. -318 meters

not entirely sure but that's what I think so hope this help and sorry if I'm wrong

Answer:

C its C

Step-by-step explanation:

Answer:

The answer is the fourth one

Answer:

T-shirt

Step-by-step explanation:

T-shirt because she has to pay bills.

Hope this helps plz hit the crown ;D

Answer:

False

Step-by-step explanation:

A reflection does not change the shape of a figure.

For example, If you look into a mirror, you are looking at a reflection of yourself, but your face doesn't change into something else...! :)

Answer:

4 hope this helps!

Step-by-step explanation:

Answer:

The measure of the angle between the vectors = Ф = 11.30°

Step-by-step explanation:

Given

[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]

Next, find the lengths of the vectors:

[tex]\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}[/tex]

u = ⟨2, –3⟩

[tex]\:\:\left|u\right|\:=\sqrt{2^2+\left(-3\right)^2}[/tex]

     [tex]=\sqrt{13}[/tex]

u = ⟨2, –3⟩

[tex]|v|=\sqrt{1^2+\left(-1\right)^2}[/tex]

    [tex]=\sqrt{2}[/tex]

Finally, the angle is given by:

[tex]\mathrm{Computing\:the\:angle\:between\:the\:vectors}:\quad \cos \left(\theta \right)\:=\frac{\vec{a\:}\cdot \vec{b\:}}{\left|\vec{a\:}\right|\cdot \left|\vec{b\:}\right|}[/tex]

cos (Ф) = 5/√26

Ф = arc cos (cos (Ф)) = arc cos (5 √26) / (26)

Ф = 11.30°

Thus, the measure of the angle between the vectors = Ф = 11.30°

Answer:

The Answer is A. 11.3

Step-by-step explanation:

got it right. Also thats just the letter answer  :)

Answer:

In 14,429 the value of 2 is 20 because it's in the tens place. 10 * 20 = 200. 200 is your answer.

Answer:

0.20, 0.24, 0.30, 0.26

Step-by-step explanation:

Hope this helps <3

Answer:

I’m pretty sure that it goes 0.2, 0.24, 0.3, 0.26, and it can be considered equally likely.

Step-by-step explanation:

Answer:

-20

Step-by-step explanation:

The simplified form of the given complex number (4i)(5i) is -20.

To simplify the expression (4i)(5i), we can use the properties of complex numbers.

The imaginary unit i is defined as the square root of -1. So, i² = -1.

Now let's simplify the given expression:

(4i)(5i) = 20i²the simplified form of (4i)(5i) is -20.

Since i² equals -1, we can substitute -1 for i²:

20i² = 20(-1)

Multiplying -1 by 20, we get:

20(-1) = -20

Therefore, the simplified form of (4i)(5i) is -20.

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Answer:

25.12 OR 16

Step-by-step explanation:

We can see that the diameter of the circle is 8 inches. Let's put this number into the formula. The circumference of a circle that has a diameter of 8 inches is 25.12 inches

2 times 8 = 16

Answer:

The interval of the domain over which the function m is negative

will be: (6, ∞)

Step-by-step explanation:

We have to determine the interval of the domain over which the function m is negative.

The x-intercept of the graph is:

at y = 0, x = 6

(0, 6) is the x-intercept.

From the graph, it is clear that at the x-intercept x=6, the graph tends to continue downward towards infinity i.e. (6, ∞) where the graph would be negative as it is heading downwards.

Thus, the interval of the domain over which the function m is negative will be: (6, ∞)

Answer: (6,00)

Step-by-step explanation:

Time = distance / speed

Time = 3 2/5 miles / 4 miles per hour

Time = 17/5 / 4

Time = 17/5 x 1/4 = 17 x 1 / 5 x 4 = 17/20 hours

17/20 hours x 60 minutes per hour = 51 minutes.

Answer:

Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.

Step-by-step explanation:

Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.

Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.

En este caso es necesario plantear un sistema de ecuaciones. Entonces, en primer lugar es necesario plantear las variables:

Martha compró 4kg de tomate y 2kg de frijol y pago con $130. Esto se expresa mediante la ecuación: 4*x + 2*y= 130

El hermano de Martha pagó $85 por la compra de 1kg de tomate y 3kg de frijol. Esto se expresa como: x+3*y=85

Entonces, el sistema de ecuaciones a resolver es:

[tex]\left \{ {{4*x+2*y=130} \atop {x+3*y=85}} \right.[/tex]

Existen varios métodos para resolver un sistema de ecuaciones, siendo uno de ellos el método de sustitución, que consiste en despejar o aislar una de las incógnitas (por ejemplo,  x ) y sustituir su expresión en la otra ecuación. De este modo, obtienes una ecuación de primer grado con la otra incógnita,  y . Una vez resuelta, calculas el valor de  x  sustituyendo el valor de  y  ya conocido.

En este caso, en primer lugar despejas x de la segunda ecuación:

x= 85 -3*y

Reemplazando en la primer ecuación:

4*(85-3*y) +2*y=130

y resolviendo obtienes:

4*85 -4*3*y + 2*y=130

340 - 12*y + 2*y=130

-12*y + 2*y=130-340

-10*y=-210

y=(-210)÷(-10)

y=21

Reemplazando en la expresión obtenida anteriormente, x= 85 -3*y, se obtiene:

x=85 - 3*21

x=85 - 63

x=22

Se requiere $22 para comprar 1 kg de tomate y $21 para comprar 1 kg de frijol.

Para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.

Dado que Martha compro 4kg de tomate y 2kg de frijol y pago con $130, mientras que su hermano pago $85 por la compra de 1kg de tomate y 3kg de frijol, para determinar cuánto dinero se requiere para comprar 1kg de tomate y 1kg de frijol  se debe realizar el siguiente cálculo:

Por lo tanto, para comprar un kilo de tomate se requieren $22, y para comprar un kilo de frijol se requieren $21.

Aprende más en https://brainly.com/question/22918730

Answer:

Ok so its (0,-1),(0.333,0)

Step-by-step explanation:

Answer:

he axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .

Step-by-step explanation:

Answer:

-44

Step-by-step explanation:

Answer:

D is the correct answer

Step-by-step explanation:

The coordinates of the x axis is always listed first.

On the x axis the line was less than one and more than zero leaving the fraction as the only option.

hope it helps

have a great day

:)

Answer:

The second, third, and fifth one.

Step-by-step explanation:

Home this helps

Answer:

p = −7

Step-by-step explanation:

96=−8(p−5)

96=(−8)(p)+(−8)(−5)(Distribute)

96=−8p+40

Step 2: Flip the equation.

−8p+40=96

Step 3: Subtract 40 from both sides.

−8p+40−40=96−40

−8p=56

Step 4: Divide both sides by -8.

−8p /−8 = 56 /−8