the sum of 2 numbers is 56.twice the smaller number exceeds one-half the larger number by 22.find the numbers

Answers

Answer 1

9514 1404 393Answer:

  20, 36

Step-by-step explanation:

Let x and y represent the smaller and larger numbers, respectively. The given relations let us write two equations:

  x + y = 56 . . . . . . the sum of the two numbers is 56

  2x -y/2 = 22 . . . . twice the smaller exceeds half the larger by 22

We can solve this by multiplying the second equation by 2 and adding the first.

  2(2x -y/2) +(x +y) = 2(22) +56

  5x = 100 . . . . . . simplify

  x = 20

  y = 56 -20 = 36

The two numbers are 20 and 36.


Related Questions

The city of Philadelphia has an area of 141.7 square miles (mi2) and a population of 1,579,000 residents. What is the density of the city?

Answers

Answer:

11,143.3

Step-by-step explanation:

Density measures the number of people per unit area

Density = population / area

1,579,000 / 141.7  = 11,143.30

Find the volume of the solid figure shown below. The area of the base is 40 square inches and the height of the figure is 7 inches

Answers

Answer:

[tex] \displaystyle V _{ \text{cuboid}} =280 {in}^{3} [/tex]

Step-by-step explanation:

We are given the area of the base and the measure of the height of a solid figure . We want to find the volume of the figure.

Notice that the area of the base of the figure is not a perfect square. Thus, we assume the solid figure to be a cuboid.

What is Cuboid?

Cuboid is a three dimensional rectangle. The dimensions of cuboid are length, width and height

Remember that

[tex] \displaystyle V _{ \text{cuboid}} = l\times w \times h[/tex]

Since the base area (l×w) is 40in² and height (h) is 7in, simply substitute:

[tex] \displaystyle V _{ \text{cuboid}} =40 \times 7[/tex]

simplify multiplication:

[tex] \displaystyle V _{ \text{cuboid}} =280[/tex]

hence,

The volume of the figure is 280 in³

Simplify 25a/8 x 2a/5​

Answers

Answer:

If the slashes mean divisions and the x means multiplication, the answer would be 25a²/4/5


Which of the following points satisfies the linear inequality below? Select all correct answers.
5x + 2y 26
Select all that apply:
(0,5)
(3,1)
(3,-4)
(-4,1)

Answers

Answer:

All points satisfy the inequality

Step-by-step explanation:

Given

[tex]5x + 2y \le 26[/tex]

Required

Select all points that satisfy the above inequality

[tex](a)\ (0,5)[/tex]

This implies that

[tex]x = 0; y = 5[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * 0 + 2 * 5 \le 26[/tex]

[tex]0 + 10 \le 26[/tex]

[tex]10 \le 26[/tex]

This satisfy the inequality

[tex](b)\ (3,1)[/tex]

This implies that

[tex]x = 3;\ y =1[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * 3 + 2 * 1 \le 26[/tex]

[tex]15 + 2 \le 26[/tex]

[tex]17 \le 26[/tex]

This satisfy the inequality

[tex](c)\ (3,-4)[/tex]

This implies that:

[tex]x = 3; y-4[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * 3 + 2 * -4 \le 26[/tex]

[tex]15 -8 \le 26[/tex]

[tex]7 \le 26[/tex]

This satisfy the inequality

[tex](d)\ (-4,1)[/tex]

This implies that:

[tex]x = -4; y =1[/tex]

So, we have:

[tex]5x + 2y \le 26[/tex]

[tex]5 * -4 + 2 *1 \le 26[/tex]

[tex]-20 + 2 \le 26[/tex]

[tex]-18 \le 26[/tex]

This satisfy the inequality

Divide £104 in the ratio 3:5

Answers

Answer:

39:65

Step-by-step explanation:

104/(3+5) = 104/8 = 13    13(3):13(5) =  39:65

Really stumped on these 2 problems anybody know anything? "Find the circumference of each circle. Round to the nearest tenth. Use 3.14 or 22/7 for π"

Answers

Answer:

1. 15.7 in

2. 153.9 cm

Step-by-step explanation:

The circumference of a circle is found by the formula:

C = 2 * pi * r, where r represents the radius.

For the first circle, we substitute in 3.14 for pi and the given radius:

C = 2 * 3.14 * 2.5

C = 15.7 in

However, for the second circle, the diameter is given instead of the radius.

As the radius is just half of the diameter, we can find that it is 24.5 cm.

Substituting the values in, we get:

C = 2 * 3.14 * 24.5

C = 153.86 cm

Rounding to the nearest tenth gives us:

153.9 cm

Make sure to use the correct units for each question.

Which expression says," 11 less than twice n?"
(1) 11 - 2n
(2) 11 + 2n
(3) 2n - 11
(4) 2n + 11​

Answers

Answer:(1) 11-2n is the correct answer

Step-by-step explanation:

hope it helps you

Which expression is equivalent to j(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)?

o 13'
o 13j
o j13
oj + 13

need help fast pls!

Answers

Hopes this helps:

Answer: j^13

Please give me a brainlist if it’s right

MATHEMATICS
PLANE if it is a plane figure and write SOLID if it is a solid
1. shoebox
2. tiles 3.ball
4.wheel 5.playing card 6.wall sticker 7.basket ball court 8.kite 9.dringking glass 10.tv screenshot

Answers

Answer:

P=plane

S=solid

1.s

2.p

3.s

4.s

5.p

6.p

7.s

8.p

9.s

10.p

If you are helped with my answer pls tag me brianliest

THANK YOU...

Evaluate the following equation for the given x value. Round your answer to
the nearest hundredth. *
у
600(0.732)"; x = 3

Answers

Answer:

585856859686

Step-by-step explanation:

546786676

I need more help this is so bad

Answers

Answer:

perimeter of square=4×side

perimeter of square =4×13cm

perimeter of square = 52cm

area of square = side²

area of square = (13cm)²

area of square = 169cm²

Answer:

52 cm / 169 cm²

Step-by-step explanation:

To find the perimeter, we can add together the lengths of all the sides. Since the height and width of the square are the same length, we can tell all four sides are equal.

13 + 13 + 13 + 13 = 52

The perimeter is 52 cm.

The area is the length times the width of the shape, so we have to multiply 13 by 13.

13 · 13 = 169

The area is 169 cm².

The answer is the third option, 52 cm / 169 cm².

Good luck :)

Suppose y varies directly as x and y = 20 when x = 8. What is the value ofy whenx = 12?

y =__

Answers

Answer:

y = 30

Step-by-step explanation:

Use the direct variation equation, y = kx

Plug in 20 as y and 8 as x, then solve for k:

y = kx

20 = k(8)

2.5 = k

So, the equation is y = 2.5x

Plug in 12 as x, and solve for y:

y = 2.5x

y = 2.5(12)

y = 30

So, when x = 12, y = 30

ILL GIVE THE BRAINLIEST PLS HELP BASICALLY EVERYTHING IS IN THE PICTURE ANSWER THE QUESTION CORRECTLY IF NOT ILL REPORT YOU FASTER THAN THIS ASSIGNMENT NEEDS TO BE SUBMITTED!!!!​

Answers

Answer:

B. Ferrari and Jaguar is the answer

If x-5 = 8, which equation below would also be true?

Answers

Answer:

A

Step-by-step explanation:

because

[tex]x - 5 = 8 \\ x = 8 + 5 \\ x = 13 \\ x - 5 + 2 = 8 + 2 \\ x - 3 = 10 \\ x = 10 + 3 \\ x = 13[/tex]

A furniture manufacturing company manufactures dining-room tables and chairs. A table requires 8 labor-hour s for assembling and 2 labor-h ours for finishing. A chair requires 2 labor-hours for assembling and 1 labor-hour for finishing. The maximum labor-hours available p er day for assembly and finishing are 400 and 120, respectively. If x is the number of tables and y is the number of chairs produced per day, write a system of linear inequalities that indicates appropriate restraints on x and y.

Required:
Find the set of feasible solutions graphically for the number of tables and chairs that can be produced.

Answers

Answer:

See Annex   In blue feasible region ( using Geogebra)

Step-by-step explanation:

Table 1.-

                                         Assembling hours           finishing hours

Product (tables)  x                         8                                    2

Product ( chairs)  y                         2                                    1

Availability                                  400                                  120

Constrains:

1.-Availability of assembling hours  400

8*x   +  2* y    ≤  400

2.-Availability of Finishing hours

2*x  + 1*y  ≤  120

3.-General constraints

x ≥ 0    y  ≥  0   integers

A coin is flipped 20 times. It lands on heads 11 times and tails 9 times. What is the theoretical probability that you will flip heads? Please show your work.

Answers

Answer:

11/20

Step-by-step explanation:

probability-- number of favourable outcome/ number of total outcome

probability--11/20

Do these first gets brainliest the numbers that are small top presents how much zeros will be added to it and a thanks and 5 stars and a blessing

Answers

Answer:

Step-by-step explanation:

3: 3.702

4: 12.64

5: 0.725

6: 0.0725

7: 281.4

8: 2000 over 81 (a fraction)

9: 0.46699875

10: 36.424

:D

?
What is cos 0if sec 0 = 2?
V2
o 1
2
12
2

Answers

Answer:

If the secant = 2, this would be where the cosine = 1/2 = a 60° degree angle in the first quadrant and the 4th quadrant.

And the cot (60°) = 1/√3 = √3 /3

And the cot of a 60° angle in the 4th quadrant (i.e., 330°) is (- √3 /3)

Simplify the following expression: 7(2x+ 6y)​

Answers

Answer:

7(2x+ 6y)​ = 14x + 42y

Step-by-step explanation:

give brainllest plz

oliver wants a hat that original price is $25, the store is having a 20% off sale, with this sale what is the final cost?

Answers

Answer:

$20

Step-by-step explanation:

25 x 0.2=5

25-5= 20

Find area using law of sines

Answers

Answer:

4

Step-by-step explanation:

HOPE THIS HELPED!!! I TRIED AND REMEMBERED

Given P(A) = 0.74, P(B) = 0.6 and P(ANB) = 0.494, find the value of
P(AB), rounding to the nearest thousandth, if necessary.

Answers

Step-by-step explanation: Since we have given, P(A) = 0.75 and P(A|B) =0.8 .

So, P(A∩B) = P(B|A)× P(A) = 0.8×0.75 =0.6 .

We have given P(B|A') = 0.6

P(A’∩B) = P(B|A')×P(A') = 0.6 × 0.25 = 0.15.

P(B) = P(A∩B) + P(A'∩B) = 0.6 + 0.15 = 0.75.

=> P(A|B) = (∩)()=0.60.75

P

(

A

B

)

P

(

B

)

=

0.6

0.75

= 0.8 .

please help..........​

Answers

Answer: B

Step-by-step explanation:

the area of a circle is 0.2826 square miles. what's is the circle's radius? use 3.14 for pi​

Answers

Gfdfguufviiffg3333444334

Jelpppsldkdhjdisjsjxjxjzjdjz

Answers

Answer:

28716.35 mm³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3}[/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(38 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {19}^{3} [/tex]

[tex] = \frac{86149.04}{3} [/tex]

[tex] = 28716.34667...[/tex]

= 28716.35 mm³ (rounded to the nearest hundredth)

Select the correct answer.
What is the range of the data represented by the box plot?
Range = 2 range = 4 range = 10 range = 12

Answers

Answer:

c.

Step-by-step explanation:

can i have brainliest

help please i’m not sure what 17, 18, 19, and 20 are

Answers

Answer:

17. 25 [tex]in^2[/tex]

18. 53 [tex]m^2[/tex]

19. 21.6 [tex]cm^2[/tex]

20. 20.8 [tex]km^2[/tex]

Step-by-step explanation:

The area of a parallelogram is simply the base multiplied by the height.

17.

Base = 5 in

Height = 5 in

Area = Base * Height

Area = 5 * 5

Area = 25 [tex]in^2[/tex]

18.

Base = 10 m

Height = 5.3 m

Area = Base * Height

Area = 10 * 5.3

Area = 53 [tex]m^2[/tex]

19.

Base = 5.4 cm

Height = 4 cm

Area = Base * Height

Area = 5.4 * 4

Area = 21.6 [tex]cm^2[/tex]

20.

Base = 5.2 km

Height = 4 km

Area = Base * Height

Area = 5.2 * 4

Area = 20.8 [tex]km^2[/tex]

What is the right answer please

Answers

Answer:

a is the answer my aunt told me she is a teacher

Need help finding the answer

Answers

9514 1404 393

Answer:

  x = 5

  FD = 22

Step-by-step explanation:

The products of the segment lengths on the same chord are the same.

  8×15 = 12×(3x -5)

  10 = 3x -5 . . . . . . . divide by 12 (we use this value to find FD)

  15 = 3x

  5 = x

__

FD = (3x -5) +12 = 10 +12

FD = 22


The total cost of attending the movies, y, is directly proportional
with the number of tickets purchased, x. If it costs a family of four
$38.00 to attend the movies, what is the slope of this
relationship?

Answers

Answer:

The slope should be 34.00.

Step-by-step explanation:

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