The sum of three consecutive numbers is 75.
What is the smallest of the three numbers ?

The reasonable estimate for the length of side DE is 3 units

Find the diagram of the question attached. The given triangle ABC and BDE are similar triangles.

Using the similarity theorem of a triangle, this is expressed as:

AC = DE

Using the pythagoras theorem to get the length of AC:

AB^2 = AC^2 + BC^2

5^2 + AC^2 + 4^2

AC^2 = 25 - 16

AC^2 = 9

AC= 3

Since AC = DE, hence the reasonable estimate for the length of side DE is 3 units

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Answer:

5/3

Step-by-step explanation:

Answer:

#1 and #3

Step-by-step explanation:

Inequalities are used to represent unequal expressions.

The inequalities are given as:

[tex]x - 99 \le -104[/tex]

[tex]x - 51 \le -43[/tex]

[tex]150 + x \le 144[/tex]

[tex]75 < 69 - x[/tex]

Start by solving for x in all the inequalities

[tex]x - 99 \le -104[/tex]

Make x the subject: Add 99 to both sides

[tex]x \le 99 - 104[/tex]

[tex]x \le -5[/tex]

[tex]x - 51 \le -43[/tex]

Make x the subject: Add 51 to both sides

[tex]x \le 51 - 43[/tex]

[tex]x \le 8[/tex]

[tex]150 + x \le 144[/tex]

Make x the subject: Subtract 150 from both sides

[tex]x \le 144 - 150[/tex]

[tex]x \le -6[/tex]

[tex]75 < 69 - x[/tex]

Make x the subject: Add x to both sides, and subtract 75 from both sides

[tex]x < 69 - 75[/tex]

[tex]x < -6[/tex]

Hence, the solutions to the inequalities are: [tex]x \le -5[/tex], [tex]x \le 8[/tex], [tex]x \le -6[/tex] and [tex]x < -6[/tex]

See attachment for the number graphs

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The values of a and be for which x = 4 is a solution of the equation shown.

ax + 4 = 5x + b are infinitely many

The given equation is:

ax  +  4  =  5x   +  b

To find the values of a and b in the equation at x = 4, substitute x = 4 into the equation

4a  +  4  =  5(4)  +  b

4a  +  4   =  20  +  b

Collect like terms

4a  -  b  =  20  -  4

4a  -  b   =   16

Since there are two unknowns in just a single equation, the equation has more than 1 solution.

The values of a and be for which x = 4 is a solution of the equation shown.

ax + 4 = 5x + b are infinitely many

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Answer:

The ordered pair is not a solution as both sides of the equation do not equal each other.  

Step-by-step explanation:

(3,2);  x + 6y = 13

(3) + 6(2) = 13

3 + 12 = 13

15 = 13

Answer:

15a - 12

Step-by-step explanation:

7a - 4 [ 2 - (2a - 1) ] ← distribute parenthesis inside the bracket by - 1

= 7a - 4 [ 2 - 2a + 1 ]

= 7a - 4 (- 2a + 3) ← distribute parenthesis by - 4

= 7a + 8a - 12 ← collect like terms

= 15a - 12

The equation for slope intercept form is y = mx + b.

An example would be y = 3x + 4 or y = -2/5x - 4

Step-by-step explanation:

it represents a point on the line defined by the function equation.

it means that after 12 seconds the chair lift will have reached a height of 334 ft (after a starting height of 220 ft).

Answer:

7:5 is another ratio equivalent to 56:40

Step-by-step explanation:

56/8 = 7

40/8 = 5

Answer:

hope this helps

Step-by-step explanation: an equivalent ratio in simplest form would be 7:5

this is found by dividing 56 by 8 which is 7 and 40 dividd by 8 which is 5

7:5

Answer:

70 pepperoni 30 sausage

Step-by-step explanation:

30 times 6 is 180

70 times 8 is 560

180 plus 560 is 740

The equation showing the relationship between w and t is [tex]w = 4t[/tex]

From the table, we have the following points:

(0,0) and (1,4)

Start by calculating the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

So, we have:

[tex]m = \frac{4 -0}{1 -0}[/tex]

Simplify the numerator and the denominator

[tex]m = \frac{4}{1}[/tex]

Divide 4 by 1

[tex]m = 4[/tex]

The equation is then calculated as:

[tex]w = m(t - t_1) + w_1[/tex]

This gives

[tex]w = 4(t - 0) + 0[/tex]

Simplify

[tex]w = 4t[/tex]

Hence, the equation is [tex]w = 4t[/tex]

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Answer:

Source:

Step-by-step explanation:

(4x-1) × (2x+5)

3x × 7x

21x

The answer is = 21x

Answer:

The y = 0.5 the x = 1

Step-by-step explanation:

The y = 0.5 the x = 1

Answer:

y=1/2x

Step-by-step explanation:

y=mx+b, where m is the slope, b is the y-int and y and x are variables.

y=1/2x+0 is the answer but you dont need to add the 0.

To get the slop you do RISE/RUN which in this case is 1/2

Hope that helps. Brainliest is appreciated

Answer:

[tex]x=\frac{275}{62}[/tex] , [tex]y=\frac{127}{31}[/tex]

Step-by-step explanation:

We want to make the X's the same:

[tex]24x-15y=45[/tex]

[tex]24x+16y=172[/tex]

Because the signs of the X's are the same we subtract the 2 equations to make:

(I put the second one on top of the 1st)

[tex]31y=127[/tex]

So:

[tex]y=\frac{127}{31}[/tex]

Substitute y into either equation 1 or 2:

(I chose equation 1)

[tex]8x-5(\frac{127}{31})=15[/tex]

[tex]8x=5(\frac{127}{31}) + 15[/tex]

[tex]x=\frac{5(\frac{127}{31})}{8}[/tex]

So:

[tex]x=\frac{275}{62}[/tex]

Answer:

39.29672   hehe

Answer: dont even know tbh

Step-by-step explanation:?

Answer:

Function is slightly increasing

Step-by-step explanation:

PLATO

Answer:

C

Step-by-step explanation:

add top half of fractions and only if there are common denominators

Answer:

C) 1/7+1/7+1/7

Step-by-step explanation:

Make sure the denominator matches that of the answer, so since 3/7, 7 is the denominator, only b and c have 7 as a denominator. Second, all the denominators have to be equal in order for you to add the numerators. Since all denominators in C are 7, you can do 1+1+1 which equals to 3.

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

Work Shown:

(height)/(shadow length) = (height)/(shadow length)

(5 ft)/(6.5 ft) = (x ft)/(26 ft)

5/(6.5) = x/26

5*26 = 6.5*x

130 = 6.5x

6.5x = 130

x = 130/(6.5)

x = 20

The palm tree is 20 feet tall, which is the same height as a 2 story building (assuming each floor is 10 ft).

don't quote me on this but I'm pretty sure it's H multiplication property of inequality

Answer:

18f+6

Step-by-step explanation:

[tex]\text{Given that,}\\\\\cos \theta = -\dfrac 25 \\\\\implies \cos^2 \theta = \dfrac 4{25}\\\\\\\implies 1- \sin^2 \theta = \dfrac{4}{25}\\\\\\\implies \sin^2 \theta = 1-\dfrac{4}{25}\\\\\\\implies \sin^2 \theta =\dfrac{21}{25}\\\\\\\implies \sin \theta = \pm \sqrt{\dfrac {21}{25}} = \pm \dfrac{\sqrt{21}} 5\\\\\text{Since}~ \tan \theta>0,~ ~\text{the value of} ~\sin \theta ~\text{wii be:} \\\\\sin \theta = -\dfrac{\sqrt{21}}5[/tex]

Area =[tex]\pi r^{2}[/tex]

The diameter is double the length of the radius

7 ÷ 2 = 3.5

3.5 × 3.5 = 12.25

[tex]12.25\pi[/tex] = 38.4845100064751

38.4845100064751 rounded to the nearest tenth is 38.5

Answer:

A = 38.5 sq meters

Step-by-step explanation:

A = πr²

since diameter is 7, then radius is 7/2

A = π(7/2)²

A = 38.48

A = 38.5 rounded to nearest tenth

Before you start, please make a title for your Stem & Leaf plot.

1) Make two columns; Stem and Leaf.

2) Under "Stem" list the following whole numbers: 0, 1, 2, 3, 4, 5, 6. Notice that each number will correspond to each number you gave us.

3) Under "Leaf":

Only the last digits of the numbers go into the Leaf. If I number, for example, starts with 0, the remaining digits go into the Leaf.

4) Create a Key, which allows whoever is reading your plot to understand what the plot means. For example 2|4=24, since 2 is the stem and 4 is the leaf. We usually read a stem and leaf plot as the remaining digits go after the stem but if otherwise a Key is a must have when creating a plot.

The Key can be any set of numbers you have in your Stem and Leaf plot.

Answer

A: 3.6069 x 10^4

Answer:

10:1

Step-by-step explanation:

This ratio is N to n for all answers. (N = Larger than n, n = Smaller than N)

Look at the Larger number. (10)

Look at the Smaller number. (1)

Turn 10 and 1 into a ratio. (10:1)