The height of a door is 1.4 feet more than 2.3 times its width. If the height of the door is 8.5 feet, which equation can be used to determine x, the width of the door.

Answers

Answer 1

Answer:

[tex]2.3x+1.4=8.5[/tex], width = 3.087 feet.

Step-by-step explanation:

Let as consider width of the door be x feet.

It is given that height of a door is 1.4 feet more than 2.3 times its width. So,

[tex]Height=2.3x+1.4[/tex]

The height of the door is 8.5 feet.

[tex]2.3x+1.4=8.5[/tex]

Therefore, the required equation is [tex]2.3x+1.4=8.5[/tex].

[tex]2.3x=8.5-1.4[/tex]

[tex]2.3x=7.1[/tex]

[tex]x=\dfrac{7.1}{2.3}[/tex]

[tex]x\approx 3.087[/tex]

So, the width of the door is about 3.087 feet.


Related Questions

Use graphing technology to find the range of the function f(x)=2^x
.

Answers

Look at the graph, which y values can the graph hit?

Anything above zero would be the right answer, since there is an asymptote at [tex]y=0[/tex].

So the range would be [tex]y>0[/tex]

Hope this helps.

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what is 0.26 rounded to the nearest tenth.​

Answers

Answer:.3

Step-by-step explanation: if it is 5 or above it rounds up

use the graph of f(x) to graph y= f(x+1)-2

Answers

What graph i dont see a graph in this question

what is the average rate of change

Answers

Answer:

The average rate of change between two input values is the total change of the function values (output values) divided by the change in the input values.

It is a measure of how much the function changed per unit, on average, over that interval.

21+6x; x= -2 evaluate

Answers

Steps to solve

21 + 6x when x = -2

~Substitute

21 + 6(-2)

~Simplify

21 - 12

~Subtract

9

Best of Luck!

What number should be placed in the box to help complete the division calculation of 2635 divided by 17

Answers

Answer:

divided

Step-by-step explanation:

divided 26 goes into 17. than right your numder up tope. that is hoow you divited it is easy just try.

Officer Brimberry wrote 24 tickets for traffic violations last week, but only 9 tickets this week. What is the percent decrease? Give your answer to the nearest tenth of a percent Help me please

Answers

Amount of decrease: 24 - 9 = 15

Percent of decrease = (15 / 24) x 100

Percent = 62.5%

What are quadratic binomial

Answers

Answer:

A quadratic binomial is a second degree binomial, such as 3x2+2.

Please help!! Thanksss

Answers

Answer:

b

Step-by-step explanation:

complimentary which means both angles are the same and on the opposite sides of each other

im not sure if the explanation is correct but im pretty sure the answer is

I need help to find the slope of the line

Answers

Undefined slope ,,,,
It’s an Undefined slope

Which phrase matches the algebraic expression below?
2(x - 7) + 10

Answers

Answer:

Combining like terms

Step-by-step explanation:

Add 7, .8,.6 Add 35.15,14.18,7.16 Add .8,5,.7

Answers

Answer:

(a) 8.4

(b) 56.49

(c) 6.5

Step-by-step explanation:

Question 1:

7 + 0.8 + 0.6

7.8 + 0.6

8.4

Question 2:

35.15 + 14.18 + 7.16

49.33 + 7.16

56.49

Question 3:

0.8 + 5 + 0.7

5.8 + 0.7

6.5

Answer:

8

Step-by-step explanation:

bc is write

WILL GIVE BRAINLIEST! Prove that a quadrilateral ABCD with vertices A(–1, –2), B( 2, –5), C(1, –2), and D( –2, 1) is a parallelogram. Find the point of intersection of the diagonals of parallelogram ABCD. Provide your complete solutions and proofs in your paper homework and enter the numeric answers online.

Answers

Answer:

(0,-2)

Step-by-step explanation:lol rsm hw

ok so just take average of two points (-1, -2) (1, -2)

-1+1=0/2=0

-2+(-2)=-4/2=-2

You can do this with B and D too

Have fun in rsm

Is the square root of 8 closer to 2 or 3?

Answers

It is more closer to 3.

                                              [tex]Explanation[/tex]

___________________________________________________________

[tex]1.[/tex] Find the square root of 8.

√[tex]8= 2.8[/tex]

[tex]2.[/tex] Figure out if 2.8 is closer to 2, or 3.

2.8 is closer to 3 than 2.

A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion for a client who weighs 110 lb. Available is dopamine
400 mg in 250 mL of D5W. The nurse should set the IV pump to deliver how many ml/hr administer? (Round the answer to the nearest
tenth.)​

Answers

Answer:

3.7ml/hr

Step-by-step explanation:

From the question

A nurse is preparing to administer dopamine 2 mcg/kg/min by continuous IV infusion

Step 1

The patient weighs 110lb(pounds

Convert the patients weight to kilogram

1 lb = 0.454kg

110lb =

Cross Multiply

110lb × 0.454kg

= 49.94kg

The patient weight = 49.94kg

Step 2

The dosage to to be administered by the nurse = 2 mcg/kg/min

If 1 kg = to be administered 2mcg/min

49.94 kg =

(49.94kg × 2mcg/min)/1

= 99.88mcg/min

Therefore, for the patient's body weight, the patient's dosage = 99.88mcg/min

Step 3

Available dopamine is 400mg in 250ml

We have to convert this to mcg

Hence,

1 mg = 1000mcg

400mg =

Cross Multiply

= 400mg × 1000mcg

= 400000mcg

Hence, the available dopamine is administer in 250ml/400000mcg

Part 3

Since 60 minutes is 1 hour

The nurse should set the IV pump to deliver how many ml/hr

(99.88mcg/min × 250ml × 60mins)/ 400000mcg

= 3.7455ml/hr

Approximately to the nearest tenth = 3.7ml/hr

Solve for x: 2x^5/3-22=464 a) x = 28 b) x = 27 c) x = ±27 d) x = ±28

Answers

Answer:

x = 27

Step-by-step explanation:

Given the expression [tex]{2x^{\frac{5}{3} }-22 = 464[/tex], we are to find the value of x in the expression. This is as shown below;

[tex]{2x^{\frac{5}{3} }-22 = 464[/tex]

add 22 to both sides

[tex]{2x^{\frac{5}{3} }-22 = 464+22\\\\[/tex]

[tex]{2x^{5/3} =486[/tex]

divide both sides by 2

[tex]\frac{2x^{5/3}}{2} =\frac{486}{2}\\ x^{5/3} = 243[/tex]

raise both sides to the power of 3/5

[tex](x^{5/3})^{3/5} = (243)^{3/5}\\x = (\sqrt[5]{243}) ^3\\x = 3^3\\x = 27[/tex]

Hence the value of x is 27

If 50 percent of the families in a certain city subscribe to the morning newspaper, 65 percent of the families subscribe to the afternoon newspaper, and 85 percent of the families subscribe to at least one of the two newspapers. What percentage of the families subscribe to both newspapers?

Answers

Answer: 30%

Step-by-step explanation:

Given, Percent of families subscribe to the morning newspaper =  50%

Percent of families subscribe to the afternoon newspaper = 65%

Percent of families subscribe to at least one of the two newspapers. = 85%

Now, percentage of the families subscribe to both newspapers = % for morning newspaper  +   % for afternoon newspaper - % for at least one of the two newspapers

= (50+65 - 85) %

=  30 %

Hence, the percentage of the families subscribe to both newspapers = 30%

evaluate 3 + 6 x 4 - 16/2

Answers

Answer:

19

Step-by-step explanation:

Help i dont understand pls help :(

Answers

Answer:

B. -2

Step-by-step explanation:

All you have to do is look at 2 on the x axis and see where it lines up on the graph with the y axis. In this case, when you trace the line of 2 it matches up with -2 on the graph.

At the store, Jason find the volume of a soda pack is 423.9 in.³. If each cylinder shaped can has a height of 6 inches and a diameter of 3 inches, how many soda cans are in a pack? (Use 3.14 for pi)

Answers

Answer : The correct option is, (A) 10

Step-by-step explanation :

First we have to calculate the volume of cylinder shaped can.

Formula used:

Volume of cylinder = π r² h

where,

r = radius of cylinder

h = height of cylinder

Given:

Diameter of cylinder = 3 in

Height of cylinder = 6 in

Radius of cylinder = [tex]\frac{Diameter}{2}=\frac{3in}{2}=1.5in[/tex]

Now putting all the given values in the above formula.

Volume of cylinder = π r² h

Volume of cylinder = 3.14 × (1.5 in)² × 6 in

Volume of cylinder = 42.39 in³

Now we have to determine the number of soda cans are in a pack.

Number of soda cans are in a pack = [tex]\frac{\text{Volume of soda pack}}{\text{Volume of cylinder shaped can}}[/tex]

Number of soda cans are in a pack = [tex]\frac{423.9in^3}{42.39in^3}[/tex]

Number of soda cans are in a pack = 10

Therefore, the number of soda cans in a pack are 10.

By substituting in the values of the variables, complete the addition number sentence that corresponds to the diagram below,

Answers

Answer:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

Step-by-step explanation:

Variable "a" and "b" represents distances on the numberline.

Variable "c" is the combined distance of the values of variable "a" and variable "b" on the numberline.

a = length of red line = |5 - 0| = |5| = 5

b = length of blue line = |11 - 5| = |6| = 6

c = length of black line (red+blue) = |11 - 0| = |11| = 11

Therefore:

[tex] a + b + c = 5 + 6 + 11 = 22 [/tex]

1/2 - 1/5

I don’t know how to do these problems

Answers

Answer: 3/10

Step-by-step explanation: Since our denominators of 2 and 5have no

factors in common, our least common denominator is 2 · 5 or 10.

In order to get a denominator of 10 in each fraction,

we multiply top and bottom of the first fraction by 5

and top and bottom of the second fraction by 2.

That gives us 5/10 - 2/10 which is 3/10.

I agree with the answer above and very well explained ^

Eli has 7 games on his phone. His sister has 6 more than him. Which ratio compares the number of games on Eli’s phone to the number of games on his sister’s phone?
a. 6:13
b. 7:13
c. 6:7
d. 7:6

Answers

Answer:

B: 7:13

Step-by-step explanation:

Answer:

7:13

i get it correct on the work sheet

An equilateral triangle measures 3 1/2 inches on one side.what is the perimeter of the triangle

Answers

Answer:

10.5 inches

Step-by-step explanation:

Equalilateral triangle means all the 3 sides are equal

So perimeter of equilateral triangle=3(side)

=>3(3.5)

=>10.5

A Ferris wheel at a carnival has a radius of 38 feet. Suppose a passenger is traveling at 5 miles per hour. (A usual fact: 1 mi = 5280 ft).A) Find the angular speed of the wheel in radians per minute.B) Find the number of revolutions the wheel makes per hour.

Answers

Answer:

a

[tex]w =  11.58 \ rad/minutes[/tex]

b

[tex]R_h  =  111 \ revolution\ per  \  hour[/tex]

Step-by-step explanation:

From  the question we told that

    The radius of the wheel is  [tex]r = 38 \  ft[/tex]

     The  speed of the passenger is  [tex]v  =  5 \  miles /hr = \frac{26400}{3600} = 7.33 \ ft / s[/tex]

  Generally the angular speed is mathematically represented as

     [tex]w =  \frac{v}{r}[/tex]

=>   [tex]w =  \frac{7.3}{ 38}[/tex]

=>   [tex]w =  0.193 \ rad/s[/tex]

now converting the seconds to minutes

        [tex]w =  0.193 *60[/tex]

        [tex]w =  11.58 \ rad/minutes[/tex]

Generally number of revolutions the wheel makes per minutes is mathematically represented as

     [tex]R = \frac{11.58 }{2 \pi}[/tex]

      [tex]R = 1.84 \ rpm[/tex]

Generally number of revolutions the wheel makes per hour  is mathematically represented as

       [tex]R_h  =   R *  60[/tex]

=>     [tex]R_h  =  1.84 * 60[/tex]

=>    [tex]R_h  =  111 \ revolution\ per  \  hour[/tex]

10 − 2(22 + 1) ÷ 23

help me pls thanks

Answers

Answer:

8

Step-by-step explanation:

8 like the answer above I am pretty sure

Jade receives total employment benefits that are 17.5% of her gross annual pay. If Mary has a gross annual pay of $60,500, how much in total job benefits does she receive?
A. $71,087
B. $81,087
C. $61,087
D. $51,087

Answers

Answer:

A. $71,087

Step-by-step explanation:

The name jade and Mary contradict each other, let's assume both jade and Mary refers to the same person

Jade receives job benefits of 17.5% of her annual gross pay

Jade has an annual gross pay of $60,500

how much in total job benefits does she receive?

Total job benefits received = 17.5% of $60,500 + $60,500

= (17.5 / 100 * 60,500) + 60,500

= (0.175 * 60,500) + 60,500

= 10,587.5 + 60,500

= $71,087.5

The rounded value closest to the answer in the option is $71,087

One cup of yogurt contains 13 g of protein. Convert this to milligrams

Answers

Answer: 13000.00mg :) hope this helps

f(x) = (2x + 1)(x - 2)(x + 3)

Answers

Answer:

f(3) = 42.

Y-intercept is (0, -6).

X-intercepts  are (-0.5, 0),  ( 2, 0) and (-3, 0).

Step-by-step explanation:

f(3) = (2(3) + 1)(3 - 2)(3 + 3)

= 7 * 1 * 6

= 42.

The y intercept occurs when x = 0:

y-intercept = (2(0) + 1)(0 - 2)(0 + 3)

= 1 *-2*3

= -6.

Calculate the x-intercepts:

(2x + 1)(x - 2)(x + 3) = 0  so

(2x + 1) = 0 or  (x - 2) = 0   or   (x + 3) = 0

So x = -0.5,  2 or  -3.

At a convention there are 7 math instructors, 5 computer science instructors, 3 statistics instructors and 4 science instructors. If an instructor is selected at random, find the probability of selecting a math or science instructor. (Write your answer as a decimal, rounded to the nearest hundredth.)

Answers

There are 11 math or science instructors and 19 instructors in total, so probability is 11/19

Answer:

11/19

Step-by-step explanation:

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