Twice a number minus 25 is less than 89. Translate it into an inequality and find the solution

Answer:

x=6

Step-by-step explanation:

( x) +(x+2)=14

(2x+2)=14

(2x)=12

x=6

Answer:

10

Step-by-step explanation:

6 + h + 8 = 24

h + 6 + 8 = 24

h + 14 = 24

h = 24 - 14

h = 10

The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero then the value of b is 40.

The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero

Then x=-20

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.

x=-20 is the zero of the given polynomial

Therefore it satisfies the given polynomial

[tex]f(-20)=(-20)^2+b(-20)+400[/tex]

[tex]0=400-20b+400\\800-20b=0\\-20b=-800\\b=\frac{-800}{-20} \\b=40[/tex]

Therefore the value of b is 40.

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Respuesta:

5250

Explicación paso a paso:

Dado que :

Importe del préstamo, principal, p = 35000

Tasa de interés, r = 3% = 0.03

Tiempo, t = 5 años

Usando la fórmula de interés simple:

Interés = principal * tasa * tiempo

Interés = 35000 * 0.03 * 5

Intereses = 5250 pesos

Given:

a. 35% of 150 g

b. 113% of $55

To find:

The correct values for the given blanks.

Solution:

a. 35% of 150 g

Here, the percent part is 35% and percent whole is 100%.

35% of 150 g is:

[tex]\dfrac{35}{100}\times 150=52.5[/tex]

So, the number part is 52.5 g and the whole number is 150 g.

Therefore, the percent part is 35%, number part is 52.5 g and the whole number is 150 g.

b. 113% of $55 g

Here, the percent part is 113% and percent whole is 100%.

113% of $55 is:

[tex]\dfrac{113}{100}\times 55=62.15[/tex]

So, the number part is $62.15 and the whole number is $55.

Therefore, the percent part is 113%, number part is $62.15 and the whole number is $55.

Answer:

1500

Step-by-step explanation:

The area of the regtangular floor is 360m². The floor is going to be retired with tiles having area of 240cm² . We need to find the number of times . Therefore ,

[tex]\implies 360m^2 = 360 \times 10^4 \ cm^2 [/tex]

And , the number of tiles required will be ,

[tex]\implies n =\dfrac{Area \ of \ floor}{Area \ of \ a \ tile }\\\\\implies n =\dfrac{ 360 \times 10^4 \ cm^2}{240 cm^2} \\\\\implies \underline{\underline{ n = 1,500 }}[/tex]

Hence the required answer is 1500 .

Answer:

3/20

Step-by-step explanation:

By question it's given that ,

[tex]\implies \dfrac{a}{b}=\dfrac{2}{5}[/tex]

[tex]\implies \dfrac{b}{c}=\dfrac{3}{8}[/tex]

And we need to find out the value of a/c .For that Multiply both of them , we have ;

[tex]\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}[/tex]

Hence the required answer is 3/20 .

Answer:

[tex]x=130[/tex]

Step-by-step explanation:

Opposite angles of a parallelogram are equal

EBC = 50° while, CDE = 50° too

Area of a parallelogram is 360°

Suppose, BCD to be x too, & form an equation:

[tex]50+50+x+x=360[/tex]

[tex]100+2x=360[/tex]

[tex]2x=360-100[/tex]

[tex]2x=260[/tex]

[tex]x=260/2[/tex]

[tex]x=130[/tex]

{CHECK: [tex]130+130+50+50=360^{o}[/tex]}

Answer:

m∠DEB = 130°

Step-by-step explanation:

Key: Only two angles are congruent because of the parallelogram

Since m∠EBC = 50° m∠CDE = 50°

Then we are missing m∠BCD and m∠DEB

50 + 50 + m∠BCD + m∠DEB = 360°

100 + m∠BCD + m∠DEB = 360°

m∠BCD + m∠DEB = 360 - 100

m∠BCD + m∠DEB = 260

m∠BCD + m∠DEB = 260/2

m∠BCD + m∠DEB = 130°

m∠BCD and m∠DEB = 130°

Answer:

f(x) = [tex]\sqrt{x+5}[/tex] : All real numbers greater than/equal to 5

Explanation: you can't square root negative numbers, and any number less than 5 would give us negative.

f(x) = [tex]\frac{7}{x-8}[/tex] : All real numbers except 8

Explanation: You can't divide by 0, and if we included 8 in the number set, we would get this: [tex]\frac{7}{8-8} =\frac{7}{0}[/tex] (this is impossible).

f(x) = [tex]\sqrt{2}[/tex] : All positive real numbers and 0

Explanation: Again, you can't square root negative numbers.

f(x) = 8x : All real numbers

Not much to explain for this one, any real number makes this equation true.

Answer: -6.4, -3.6

Explanation: A souloution of the system of equations is, when two equations intercept (y= 3/2x +6, y=1/4x -2)

Answer:

30 if that is an [tex]x^{2}[/tex] in g(x)

Step-by-step explanation:

f(2) = 2x + 1

      = 2(2) + 1

      = 4 + 1

f(2) = 5      

g(5) = [tex]x^{2}[/tex] + 5

      = [tex]5^{2}[/tex] + 5

      = 25 + 5

g(5) = 30

Answer: 30

Step-by-step explanation:

First find f(2)

f(2) = 2(2) + 1 = 4 + 1 = 5

Therefore g(f(2)) = g(5)

Now solve for g(5)

g(5) = (5)² + 5 = 25 + 5 = 30

0

Step-by-step explanation:

maybe

Answer:

1) 0 miles

2) (0,0)

3) the cars speed is missing? 3 * speed would be this answer

4) (3, "3*speed" )  something like (3,30) if car was going 10mph

Step-by-step explanation:

Answer: [tex]312.5\ cm^2[/tex]

Step-by-step explanation:

Given

A and B are two similar shape with  lengths of 12 cm and 15 cm

A has an area of [tex]200\ cm^2[/tex]

For similar figures, ratio of the square of corresponding length is equal to the ratio of the area

[tex]\Rightarrow \dfrac{200}{A_b}=\dfrac{12^2}{15^2}\\\\\Rightarrow A_b=\dfrac{15^2}{12^2}\times 200\\\\\Rightarrow A_b=312.5\ cm^2[/tex]

Answer:

The first one and last one

Step-by-step explanation:

Answer:

1,2,5

Step-by-step explanation:

got it right on edge

Answer:

there you go

Step-by-step explanation:

angle DOB is 60 degree.

Answer:

see explanation

Step-by-step explanation:

Given ∠ DOC = 90° then

∠ DOB = 90 - p and

Since AOB is a straight angle , then

4p + 90 - p = 180

3p + 90 = 180 ( subtract 90 from both sides )

3p = 90 ( divide both sides by 3 )

p = 30

4p = 4 × 30 = 120

Then

∠ DOB = 180° - 4p = 180° - 120° = 60°

Step-by-step explanation:

We know that the sum of angle around a point is 180° . Therefore let the first angle be x then second will be x + 3 .

According to the Question ,

> x + x + 3 = 360°

> 2x = 357=

> x = 357°/2

> x = 178.5°

Answer:

b . is the answer

Step-by-step explanation:

ha ahhgahga

Answer:its Graph C

(According to the law of Nicoloas Sadi Carnot)

Answer:

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Alternate interior angles must be congruent.

3x - 2 = 2x + 5

x = 7

[tex]\displaystyle\ \boxed{a^m\cdot a^n=a^{m+n}}\\\\4^{3c} \cdot 4^{5c}=\frac{4}{16} \\\\4^{3c+5c}=4^{-1}\\\\8c=-1\\\\c=-\frac{1}8}[/tex]

Answer:

It is C

Step-by-step explanation:

142+28=180

180÷2=90

m∠v=90

Answer:

Cylinder.  The explanation is not very exact, more intuition and whatnot, so let me know if there was anything you did not understand.  

Step-by-step explanation:

This is assuming the rectangle has its sides parallel with the x and y axes.  

Let's try to eliminate them one by one.  A cone does not seem likely since it has slanted sides, and spinning the two straight sides will keep the sides straight.  This can be used for the pyramid as well.  Let me know if this doesn't make sense though.

Now for me I would imagine that rectangle being a sheet of paper, or metal.  if you set that sheet atop some dirt or something and then rotated it, what shape would be drawn into the material?  It would be a circle.  So we know the 3d shapewill have a base of a circle, which leaves us with a cylinder.  Again, let me know if this method did not make sense.  

Answer:  Choice D)  4 over 25 square foot

This is the same as writing the fraction 4/25 of a square foot.

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

Explanation:

The base of the rectangle is 3/5 of a foot. The horizontal portion of either triangle is 1/5 of a foot.

These two facts allow us to find that the base of the parallelogram is 3/5 - 1/5 = 2/5 of a foot.

Multiply this with the height (2/5) to get

area = base*height

area = (2/5)*(2/5)

area = 4/25 .... answer is choice D

Side note: the base and height are not always the same length.

-----------

A slightly longer approach would have you follow these steps

Answer:

3

Step-by-step explanation:

72/4=18 18-3=15 15/5=3

If 3 added to five times a number, and the result is multiplied by 4, the number that satisfies the given conditions is x = 3.

Let's break down the problem step by step to find the number.

First, we start with a variable to represent the unknown number. Let's call it "x".

The problem states that "3 added to five times a number," which can be expressed as 5x + 3.

Next, it says that "the result is multiplied by 4," so we can write the equation as 4(5x + 3).

Finally, the problem states that "the final result is 72," so we set the equation equal to 72:

4(5x + 3) = 72

To solve for x, we simplify the equation:

20x + 12 = 72

Next, we subtract 12 from both sides:

20x = 60

Finally, we divide both sides by 20:

x = 3

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Answer:

70 degrees

Step-by-step explanation:

Supplementary angles are angles that have a sum of 180. So if 110 is one angle, 70 must be the other to total 180:

110+ x = 180

x = 70

Answer:

70°

Step-by-step explanation:

Answer:

y = -1/3x - 2/3

Step-by-step explanation:

y = -1/3x + b

-2 = -1/3(4) + b

-2 = -4/3 + b

-2/3 = b

Answer:

a) Rs 22

b) 4 liter

hope it helps

Answer:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

Step-by-step explanation:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

11/2 litre = 5.5 litre

RS 121/2 = 60.5

5.5 litre milk = Rs 60.5

(i) 1 lire milk = 60.5/5.5 = 11

(i)  1 litre milk rate is Rs 11

(ii) 1 litre  = Rs 11      , Rs 88 = 88/11 litre        , 8 litre

(i) part answer   = Rs 11

(ii) part Answer = 8 litre milk