All categories

4 years ago

Use each diagram to solve x

Mathematics

2 answers:

alekssr [168]4 years ago

4 0

6x+3=45

6x+3-3=45-3

6x= 42

Divide by 6 for 6x and 42

6x/6= 42/6

x= 7

Check answer by using substitution method

6x+3= 45

6(7)+3= 45

42+3= 45

45= 45

The answer is x= 7

irinina [24]4 years ago

3 0

Answer:

6x +3 =45 (Being alternate angle)

Or, 6x= 45 - 3

or,6x = 42

or,x=42÷6

hence,x =7

You might be interested in

Solve the equation 4.6g+5=2.6g+9.

mariarad [96]

Answer:

g=2

Step-by-step explanation:

3 0

3 years ago

Help me please hurry due today

xenn [34]

Answer:

23.025 square inches.

Step-by-step explanation:

To do this, we can split our polygon into 3 different shapes, a triangle, and 2 rectangles, and adding the areas of those 3 shapes together.

Specifically, triangle ABC, rectangle ACHI, and rectangle DEFG.

First we can start with the area of the triangle.

The area of a triangle is 1/2b*h. (1/2*base*height)

The base of the triangle AC, which is 4.2 inches. (9-4.8, Total length-DE)

The height is 2.75 inches. (6-3.25, Total height-AI)

Put it into the formual:

1/2*4.2*2.75=5.775

Next, I'm going to find the area of rectangle ACHI. The formula for the is just l*w (length*width)

The length is IH which is 4.2 inches. (9-4.8, total length-DE)

The width is AI which is 3.25 inches. (1.3+0.75+1.2, CD+EF+GH)

3.25*4.2=13.65

Now, we are going to find the area of rectange DEFG. Again, the formula is just l*w.

The length is DE which is 4.8 inches.

The width is EF which is 0.75 inches.

4.8*0.75=3.6

Now we add these areas together.

5.775+13.65+3.6=23.025

So the area of the model is 23.025 square inches.

4 0

3 years ago

Ashley has $150 in her bank account. She buys a bike for $200. Now her account balance is -$50. If she deposits the $75 she rece

polet [3.4K]

Answer:

She will have $25.00 in her bank account!

Step-by-step explanation:

If she has -$50 and adds 75 that is filling in the negative hole and adding $25 to the 0 she would have. ;) hope this helps!

4 0

3 years ago

Nancy buys 2 large pizzas for her brother’s birthday party. The girls at the party eat 7/8 of a large pizza. The boys at the par

LenKa [72]

Answer:

Yes

Step-by-step explanation:

7/8 + 5/8 = 12/8 = 1 1/2

8 0

3 years ago

A 75-gallon tank is filled with brine (water nearly saturated with salt; used as a preservative) holding 11 pounds of salt in so

Debora [2.8K]

Let $A(t)$ = amount of salt (in pounds) in the tank at time $t$ (in minutes). Then $A(0) = 11$ .

Salt flows in at a rate

$\left(0.6\dfrac{\rm lb}{\rm gal}\right) \left(3\dfrac{\rm gal}{\rm min}\right) = \dfrac95 \dfrac{\rm lb}{\rm min}$

and flows out at a rate

$\left(\dfrac{A(t)\,\rm lb}{75\,\rm gal + \left(3\frac{\rm gal}{\rm min} - 3.25\frac{\rm gal}{\rm min}\right)t}\right) \left(3.25\dfrac{\rm gal}{\rm min}\right) = \dfrac{13A(t)}{300-t} \dfrac{\rm lb}{\rm min}$

where 4 quarts = 1 gallon so 13 quarts = 3.25 gallon.

Then the net rate of salt flow is given by the differential equation

$\dfrac{dA}{dt} = \dfrac95 - \dfrac{13A}{300-t}$

which I'll solve with the integrating factor method.

$\dfrac{dA}{dt} + \dfrac{13}{300-t} A = \dfrac95$

$-\dfrac1{(300-t)^{13}} \dfrac{dA}{dt} - \dfrac{13}{(300-t)^{14}} A = -\dfrac9{5(300-t)^{13}}$

$\dfrac d{dt} \left(-\dfrac1{(300-t)^{13}} A\right) = -\dfrac9{5(300-t)^{13}}$

Integrate both sides. By the fundamental theorem of calculus,

$\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac1{(300-t)^{13}} A\bigg|_{t=0} - \frac95 \int_0^t \frac{du}{(300-u)^{13}}$

$\displaystyle -\dfrac1{(300-t)^{13}} A = -\dfrac{11}{300^{13}} - \frac95 \times \dfrac1{12} \left(\frac1{(300-t)^{12}} - \frac1{300^{12}}\right)$

$\displaystyle -\dfrac1{(300-t)^{13}} A = \dfrac{34}{300^{13}} - \frac3{20}\frac1{(300-t)^{12}}$

$\displaystyle A = \frac3{20} (300-t) - \dfrac{34}{300^{13}}(300-t)^{13}$

$\displaystyle A = 45 \left(1 - \frac t{300}\right) - 34 \left(1 - \frac t{300}\right)^{13}$

After 1 hour = 60 minutes, the tank will contain

$A(60) = 45 \left(1 - \dfrac {60}{300}\right) - 34 \left(1 - \dfrac {60}{300}\right)^{13} = 45\left(\dfrac45\right) - 34 \left(\dfrac45\right)^{13} \approx 34.131$

pounds of salt.

7 0

2 years ago

Use each diagram to solve x​

Use each diagram to solve x