There are 165 laptops and desktop computers in a lab. There are 9 more laptops than desktop computers. What is the total number of laptops in the lab?

Answers

Answer 1

Answer:

87

Step-by-step explanation:

Let d = number of desktops.

Let a = number of laptops.

a + d = 165

a = d + 9

d = a - 9

a + d = 165

a + a - 9 = 165

2a - 9 = 165

2a = 174

a = 87

Answer: 87

Answer 2

Answer:

87

Step-by-step explanation:


Related Questions

The value of y is directly proportional to the value of x. If y = 15 when x = 90, what is the value x when y = 45?​

Answers

Answer:

y = 45      x = 120

Step-by-step explanation:

90 - 15 = 75

45 + 75 = 120

8. What is the annual salary for someone who earns a biweekly salary
of $863.00?

Answers

Answer:

approximately $22438

Explanation:

If this is wrong which im pretty sure it isnt, im sorry :)

Answer: Annual Salary = $22,438

===================================================

Work Shown:

biweekly means every 2 weeks

There are roughly 52 weeks in a year, so there are 52/2 = 26 biweekly paychecks over the course of the full year.

So the annual salary is 26*863.00 = 22,438 dollars.

Pls help I need to finish this

Answers

The answer is the last 2 ones

Answer:

Check box 4 and 5

Step-by-step explanation:

We know there can only be up to 2 solutions for a quadratic equation.

5x^2-2x-9=0 is your equation, make sure to move that 1 to the left

Now we can use the quadratic formula

a=5

b= -2

c= -9

x= −1.15647

x=1.55647

Thus I would select the last 2 boxes. Both of them are solutions.

31. Each small square on the grid below is 3cm by 3cm. What is the area of
the shape drawn on the grid?

Answers

3x3= 9 which is area of 1 square

In the shape there is total of 11 squares

So 9x11= 99
The answer is 99

Hope
This helps

Josue tosses a coin and spins the spinner at the right. What are all the possible outcomes?

Answers

Answer:

50 50 ?

Step-by-step explanation:

20 kilograms to pounds

Answers

Answer:

44.0925 pounds

Step-by-step explanation:

44.092 lbs
hope this helps ! :)

What is the image of the point (6,7) after a rotation of 90 degrees counterclockwise about the origin

Answers

Answer: Note the location of Point C’, the image of Point C after a 90-degree rotation. And this process could be repeated if you wanted to rotation Point C 180 degrees or 270 degrees counterclockwise: Point C after a 180-degree rotatio.

Hope it helps

The new coordinates after rotation will be (-7, 6).

What is mean by Rotation of a Point in X - Y plane?

A rotation is a transformation in a plane that turns every point of a preimage through a specified angle and direction about a fixed point.

We have to given that;

A Point on a xy - plane as (6, 7) which is rotated by 90° counter clockwise about the origin.

Now, According to the question, we have;

A point with coordinates = (6, 7)

We know that, Any point (say A[x, y]) when rotated 90° counter clockwise about the origin, then its new coordinates become A'(-y, x).

Hence, By Using this rule, the coordinates of the point after rotation of point by 90° counter clockwise about the origin will be;

⇒ (-7, 6).

Hence, The new coordinates = (-7, 6).

Learn more about the Rotation of points visit;

brainly.com/question/18099572

#SPJ2

Which fraction and decimal forms match the long division problem 15 divided by 4.000

Answers

Answer: I would think the answer is C

Step-by-step explanation: 4 divided by 15 is 0.26666667

Consider p(x)=3x^3+ax+5a, a is an element of the integers.
The polynomial p(x) leaves a remainder of -7 when divided by (x-a). Show that only one value of a satisfies the above condition and state it’s value.

Answers

By the remainder theorem,

p(a) = 3a³ + a² + 5a = -7

so that

3a³ + a² + 5a + 7 = 0

Since you know a is an integer, you can try to factorize this, or use the rational root theorem to generate a list of potential rational roots, and from there you'd select the integer roots. The rational ones are of the form m/n, where m divides the constant term 7 and n divides the leading coefficient 3. They are

a = ± 1 or ± 1/3 or ± 7 or ±7/3

so there are 4 integer candidates,

a = -1 or 1 or -7 or 7

Check the value of f(a) = 3a³ + a² + 5a + 7 at each of these:

a = -1   →   f(a) = 0

a = 1   →   f(a) = 16

a = -7   →   f(a) = -1008

a = 7   →   f(a) = 1120

and only a = -1 is a root of 3a³ + a² + 5a + 7, so that's your answer. In fact,

3a³ + a² + 5a + 7 = (a + 1) (3a² - 2a + 7)

pls help with this asap

Answers

I think it’s the box in the top right

How does the sketch of a graph of function help describe its behavior

Answers

Answer:

The end behavior of a function f describes the behavior of the graph of the function at the "ends" of the x-axis. In other words, the end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

Cory is hiking up a hill with a constant slope. The double number line shows that after Cory hikes 3 \text{ km}3 km3, start text, space, k, m, end text, his elevation is 120 \text{ m}120 m120, start text, space, m, end text.

Answers

Answer:

The answer is "3 km ".

Step-by-step explanation:

Distance in (km): [tex]3 \to 1[/tex]

Elevation value in (m):  [tex]120 \to 40[/tex]

[tex]\to \frac{3}{1} = 3 \ km \\\\\to \frac{120}{40} =\frac{12}{4} = 3 \ km[/tex]

Answer:

A..

Step-by-step explanation:

khan acadmey says so

Choose the method of pay that would result in the most earnings for one month on sales of $40,000. a. Straight commission of 7.5% on all sales. b. Monthly salary of $1,600 plus 2.5% commission on all sales. c. Graduated commission of 5% on the first $30,000 in sales and 6% on anything over that. d. Graduated commission of 4% on the first $25,000 in sales and 8% on anything over that. Please select the best answer from the choices provided A B C D

Answers

Answer:

The answer is "Option a".

Step-by-step explanation:

In the question, the answer is 7.5% straight on all revenue because the commission would be a charge the corporation pays to something like a sales representative to help or achieve a sale in return for their services.

Answer:

a.

Step-by-step explanation:

What is the solution to the system of equations graphed below?
O(-5, 1)
O (1,-5)
O (3, -4)
O(4,3)

Answers

C

Step-by-step explanation:

Graphs are simple I would know trust me man

9. Jeremy receives a base salary of $25,000 plus 5% commission on his sales. Jeremy received a total salary of
$45,000 last year. How much were his total sales?
a. $20,000
b. $70,000
c. $400,000
d $900,000

Answers

Answer:

c. $400,000

Step-by-step explanation:

Let his total sales be $x.

Salary + commission =$45000

[tex] \therefore \: 25000 + 5 \% \: of \: x = 45000 \\ \\ \frac{5}{100} x = 45000 - 25000 \\ \\ \frac{1}{20}x = 20000 \\ \\ x = 20 \times 20000 \\ \\ x = \$\:400, 000[/tex]

Given: \overline{BD} \cong \overline{BE}, BD ≅ BE , \overline{DE} DE bisects \overline{AB} AB and \overline{DE} DE bisects \overline{BC}. BC . Prove: \overline{AB} \cong \overline{BC} AB ≅ BC .

Answers

Given:

[tex]\overline{BD} \cong \overline{BE}[/tex]

DE bisects [tex]\overline{AB}[/tex].

DE bisects [tex]\overline{BC}[/tex].

To prove:

[tex]\overline{AB} \cong \overline{BC}[/tex]

Proof:

DE bisects [tex]\overline{AB}[/tex]

Then, [tex]AD=BD[/tex].         ...(i)

DE bisects [tex]\overline{BC}[/tex].

Then, [tex]BE=CE[/tex].           ...(ii)

We have,

[tex]\overline{BD} \cong \overline{BE}[/tex]        ...(iii)

Using (i), (ii) and (iii), we get

[tex]\overline{AD} \cong \overline{CE}[/tex]         ...(iv)

Adding (iii) and (iv), we get

[tex]\overline{BD}+\overline{AD} \cong \overline{BE}+\overline{CE}[/tex]

[tex]\overline{AB} \cong \overline{BC}[/tex]

Hence proved.

If a box 100 tea bags cost $4.52 how much does one tea bag cost? (please show work)

Answers

Answer:

$0.0452

Step-by-step explanation:

100 tea bags coat $4.52

1 " " " 4.52/100

$ 0.0452

Which math expression means "the sum of 270 and 180"?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Sum means to add so answer A is correct

Find the value of x and the measure of each angle in the parallelogram

Answers

Answer:

[tex]\angle D= 162\\\\\angle E = 18\\\\\angle F = 162\\\\\angle G = 18[/tex]

Step-by-step explanation:

By properties of parallelograms we know that opposite are the same so we have

[tex]12x=4(x+3)\\\\4(3x)=4(x+3)\\\\3x=x+3\\\\2x=3\\\\x=\frac{3}{2}[/tex]

so for the angles we have

[tex]\angle G=\angle E=12(\frac{3}{2})=18\\\\\angle D=\angle F = 180-\angle G=180-18=162[/tex]

Prove This :

sin(A+B)+sin(A−B)=2sinA⋅cosB​

Answers

Answer:

We know

sin (A + B) = sin A cos B + cos A sin B

sin (A - B) = sin A cos B - cos A sin B

(A + B) + sin (A - B)

= sin A cos B + cos A sin B + sin A cos B - cos A sin B

= sin A cos B + sin A cos B

= 2 sin A cos B

helphelphelphelphelphelphelphelphelphelphelphelphelphelphelphelpvv

Answers

Answer:

4.4

Step-by-step explanation:

4.4

Answer:

I think the answer is B) 4.7

Step-by-step explanation:

just to let you know I maybe wrong.

Solve : 4/x-3 + 2/x-2 = 6/x

Answers

Answer:

x = [tex]\frac{9}{4}[/tex] or 2.5

Step-by-step explanation:

[tex]\frac{4}{x-3} + \frac{2}{x-2} = \frac{6}{x}[/tex]

Finding L.C.M. of (x - 3) and (x - 2)

[tex]\frac{4(x-2) + 2(x-3) }{(x-3)(x-2)} = \frac{6}{x}[/tex]

[tex]\frac{(4x-8) + (2x-6)}{x^{2} - 3x-2x+6}=\frac{6}{x}[/tex]

[tex]\frac{4x-8 +2x-6}{x^{2} -5x +6} = \frac{6}{x}[/tex]

[tex]\frac{6x-14}{x^{2} -5x+6}= \frac{6}{x}[/tex]

Cross multiplying:

x (6x - 14) = 6 (x² - 5x +6)

6x² - 14x = 6x² - 30x + 36

Cancelling 6x² from both the sides:

- 14x = - 30x + 36

30x - 14x = 36

16x = 36

x = [tex]\frac{36}{16}[/tex]

∴ x = [tex]\frac{9}{4}[/tex] or 2.5

determine the value of x.

Answers

Answer: 1) -5.8

Step-by-step explanation:

in order to solve the problem you have to put it together:

9x-5 = 14x+24

then go from there : subtract 24 on both sides , then subtract 9x on both sides , that’ll leave you with : -29 = 5x

so from there we divide , giving us x= -5.8

Please help and answer.

Answers

Answer:

hi

Step-by-step explanation:

u need help

Pens cost 43p and booklets cost £1.85 How much change will I get from £10 if I buy 3 pens and 4 booklets

Answers

Answer:

Step-by-step explanation:

lets see how much will cost 3 pens

3*.43=1.29

booklets

1.85*4=7.4

total

7.40+1.29=8.69

10-8.69=1.31

If Tony earns five dollars on Monday and five dollars on Tuesday is that a sum of zero? need help I’m in 4th

Answers

no it’s will be a total of $10
$5 + $5 =$10
one hang= 5 fingers so two 5’s are 10.

Answer:

The sum is $10

Step-by-step explanation:

Since Tony got $5 on Monday and $5 on Tuesday, we can add them together by doing 5+5. We can add 5 and 5 together to get a total of $10 that Tony has earned. This means that it isn't a sum of 0 but a sum of 10.

(hope this helped)

3x-2y= 12

Linear Functions, please help, it’s on a test, and I’m about to fail this whole grade, thank you

Answers

Answer:

Slope: 3/2

y intercept (0,-6)

Step-by-step explanation:

3x-2y=12

First, solve for y

2y=12-3x

divide each term by -2 and simplify

y=-6+[tex]\frac{3x}{2}[/tex] or y=[tex]\frac{3}{2}[/tex]x-6

Slope intercept form: y=mx+b

therefor m =[tex]\frac{3}{2}[/tex] and y (0,-6)

S: 3/2

(0,-6)

I hoped this answered it quickly. ^^

what's the slope for this, I really need help, like a lot,

Answers

Answer:

It would be 3/3

Step-by-step explanation:

it is over 3 and up 3 if you are trying to get 3\4 go up 1

Which of the following graph's represent the inequality y<2x+7 ?

Answers

Answer:

graph a

Step-by-step explanation:

2*0 = 0

0+7 = 7

0<7; it is a solution

b= 3x + 4g for a = -9 and b = 12

Answers

B3x+2=32 and 5 with a but b=32c

Answer:

B3x+2=32 and 5 with a but b=32c

Step-by-step explanation:

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