How many solutions does the system have? 6x-y=-1 6x+y=-1

Answer:

3mph and 12mph

Step-by-step explanation:

GIVEN: Charlie biked [tex]15[/tex] minutes home from school and then walked [tex]12[/tex] minutes to the pizza place near his house. This trip was [tex]3.6[/tex] miles in total. His rate on his bike is [tex]3[/tex] miles per hour less than [tex]5[/tex] times his walking rate. In miles per hour.

TO FIND: Charlie’s speed as he walks and his speed as he bikes.

SOLUTION:

Let speed of charlie when he walks be [tex]x\text{ mph}[/tex]

Then speed of charlie as he biked [tex]=5x-3\text{ mph}[/tex]

Total length of trip [tex]=3.6\text{ miles}[/tex]

Total time taken[tex]=27\text{ minutes}=\frac{27}{60}\text{ hour}=\frac{9}{20}\text{hour}[/tex]

Now,

[tex]\text{Distance}=\text{speed}\times\text{time}[/tex]

distance traveled on bike [tex]=(5x-3)\times\frac{15}{60}=\frac{(5x-3)}{4}[/tex]

distance traveled by walking [tex]=x\times\frac{12}{60}=\frac{x}{5}[/tex]

As, [tex]\frac{(5x-3)}{4}+\frac{x}{5}=3.6[/tex]

     [tex]\frac{29x-15}{20}=3.6\implies 29x=87[/tex]

  [tex]\implies x=3\text{ mph}[/tex]

Speed of Charlie on bike [tex]=5x-3=12\text{ mph}[/tex]

Hence speed of charlie on bike and by walking is 12mph and 3mph respectively

Given:

Given that the base of the triangle is 4 cm.

The height of the triangle is 3 cm.

The height of the prism is 8 cm.

The other side of the triangle is 5 cm.

We need to determine the surface area of the triangular prism.

Surface area of the triangular prism:

The surface area of the triangular prism can be determined using the formula,

[tex]SA=bh+(s_1+s_2+s_3)H[/tex]

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂, s₃ are the side lengths of the triangle and

H is the height of the prism.

Substituting b = 4, h = 3, s₁ = 4, s₂ = 3, s₃ = 5 and H = 8, we get;

[tex]SA=(4)(3)+(4+3+5)(8)[/tex]

[tex]SA=12+(12)(8)[/tex]

[tex]SA=12+96[/tex]

[tex]SA=108 \ cm^2[/tex]

Thus, the surface area of the triangular prism is 108 square cm.

Answer:

Step-by-step explanation:

The probability that both parts are defective is 6/55

Step-by-step explanation:

Defective parts = 4

Total parts = 11

Probability of getting a defective part = 4/11

Probability of getting defective part 2nd time = 3/10

Total probability of getting defective part both the times = (4/11) (3/10)

= (12/110)

= (6/55)

The probability that both parts are defective is 6/55

Answer:

1/16

Step-by-step explanation:

Let’s look at the first table. Set up the rule: y=kx You want to replace the variables with the numbers in the chart. Let’s do 11=k21. Since y is smaller than x we would most likely use a fraction or decimal. Now what we want to do is divide 11 by 21. This should give you the result of 0.5238095238 or ≈0.52 so the rule is y=0.52x.

Now let’s look at the second chart. Let’s do 1=k4. Same thing, divide 1 by 4 which will give you the result of 0.25. The rule of this table is y=0.25x.

These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.

In Table 1, you can observe that as the value of x decreases by 1, the value of y also decreases by 1. This suggests a linear relationship between x and y, where y is a function of x. The equation that describes this relationship is:

[tex]\[ y = x - 10 \][/tex]

In Table 2, there is a similar linear relationship between x and y. As x decreases, y also decreases, and the change in y is consistent. The equation for this relationship is:

[tex]\[ y = \frac{x}{4} + 5 \][/tex]

In both equations, the slope is -1 in the first table and 1/4 in the second table, indicating that for each unit change in x, there is a corresponding change in y. The y-intercepts in these equations are -10 and 5, respectively, representing the values of y when x is 0.

These equations capture the linear relationships observed in the tables, allowing you to predict the value of y for any given value of x within these patterns.

For more questions on linear relationships, click on:

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The probable question may be:

Write an equation to describe the relationship in each table. Table 1: x= 25, 24, 23, 22, 21. y= 15, 14, 13, 12, 11. Table 2: x= 36, 28, 16, 12, 4. y= 9, 7, 4, 3, 1.

Answer:

First page:

Calculate the surface area of shapes using two-dimensional nets.

Calculate the surface area of prisms by adding up the sides of each face.

(For the table use your glossary)

Second page:

1.) 6

2.) 7

3.)51

Answer: (consider leaving a thanks)

Since the equation representing the total cost is C, we would write:

C = (rest of equation will go here)

Then, since the price goes up with the number of hours (h) by 65$ each hour, we would write it as (65h)

C = 65h (Final part!)

Finally, since 150$ is added on, and isn't connected to the number of hours we would write the equation like this:

C = 65h + 150

Answer:

The answer is C, or 3/5.

2 possible solutions.

When width is 4 cm, length is 20 cm; When width is 20 cm, length is 4 cm

Step-by-step explanation:

Perimeter of the rectangle = 2(length + width)

48 = 2(length + x)

24 = length + x

⇒ Length = 24 - x

Area of the rectangle = length × width

80 = x (24 - x)

80 = 24x - x²

x² - 24x + 80 = 0

x² - 20x - 4x + 80 = 0

x(x - 20) - 4(x - 20) = 0

(x - 4)(x - 20) = 0

⇒ x = 4, 20

24 - x = 20, 4

So there are two possible answers.

When width is 4 cm, length is 20 cm

When width is 20 cm, length is 4 cm

Answer:

7

Step-by-step explanation:

Mode is the number that repeats the most

7 is repeating the most

The mode for the given bar image shown is: 7

In statistics, the mode is a measure of central tendency that refers to the value that appears most frequently in a dataset. It can be used to summarize categorical variables, while the mean and median can only be calculated for numeric variables. The mode is calculated by putting the numbers in order from least to greatest and counting how many times each number occurs.

From the given bar graph, we see that the number that occurs the highest number of times is 7 as it is the tallest bar.

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Answer:

4 1/6, 25/6, 4.167

Step-by-step explanation:

I'm dumb

Answer:

ok i will give the decimal and the fraction

deciaml is 4.16666666667 and the fraction is 25/6 or 4 1/6

Step-by-step explanation:

hopefully my answer helps

Answer:

84

Step-by-step explanation:

7 go's in to 58 8 time's bring the 8 down

you get 28 4 x 7 is 28 so it is 84

Answer:

(5,8)

Step-by-step explanation:

(x,y) --> (x,-y)

The image of the point (5, -8) after a reflection over the x-axis is (5, 8).

When reflecting a point over the x-axis, the x-coordinate remains the same while the y-coordinate changes sign. Given the point (5, -8), after a reflection over the x-axis, the new coordinates will be (5, 8).

Here's the step-by-step process:

Keep the x-coordinate the same (x remains 5).

Change the sign of the y-coordinate (-y becomes 8).

Combine the new coordinates to get the reflected point (5, 8).

Therefore, the image of the point (5, -8) after a reflection over the x-axis is (5, 8).

√120 / √30 = √(120/30) = √4 = 2

Answer:

A

Step-by-step explanation:

It's A I got it right on Edge

9 years will take foe these trees to be the same height, If type A is 10 feet tall and grows at a rate of 21 inches per year and type B is 7 feet tall and grows at a rate of 25 inches per year.

Step-by-step explanation:

The given is,

                Type A is 10 feet tall and grows at a rate of 21 inches per year

                Type B is 7 feet tall and grows at a rate of 25 inches per year

Step:1

             Convert the rate of grows of tree inch to feet,

             For Tree A,

                   Rate of grow, A = 21 inches per year

                                              = 21 × 0.0833333      ( 1 inch = 0.0833333 feet)

                                             = 1.75 feet per year

              For Tree B,

                   Rate of grow, B = 25 inches per year

                                              = 25 × 0.0833333     ( 1 inch = 0.0833333 feet)

                                             = 2.08333 feet per year

Step:2

           Difference in the tall of  Tree A & B,

                                               = 10 - 7

                                              = 3 feet

           Difference in the rate of grow of tree A & B,

                                                = 2.08333 - 1.75

                                               = 0.3333325 feet per year

Step:3

           Year take to both trees are same height,

                                               [tex]= \frac{Difference in the height of tree A & B}{Difference in the rate of grows of A & B}[/tex]

                                               [tex]= \frac{3}{0.3333325}[/tex]

                                               [tex]= 9.00[/tex]

                                               = 9 years

Step:4

            Check for solution,

            Height of tree = Height of Tree + (Rate of grow × Years)

            For A,

                                    = 10 + ( 1.75 × 9 )

                                   = 25.75 feet.........................................(1)

            For B,

                                   = 7 + ( 2.08333 × 9 )

                                    = 25.74999

                                   ≅ 25.75 feet.....................................(2)

          From Equation (1) and (2),

                  25.75 feet = 25.75 feet

Result:

          9 years will take foe these trees to be the same height, If type A is 10 feet tall and grows at a rate of 21 inches per year and type B is 7 feet tall and grows at a rate of 25 inches per year.

Answer:

similar and congruent

Step-by-step explanation:

those are the only words i know

Answer:

congruent and similar

Step-by-step explanation:

Answer:

i will go with c

Step-by-step explanation:

Hello :)

-18x - 17 = -53

-18x = -53 + 17

-18x = -36

-x = -2

x = 2

Answer = 2

Zeynoom Kopuyooz :d

Answer:

Step-by-step explanation:

- 18x - 17 = - 53

- 18x =- 53 + 17

- 18x = - 36

Minus sign will be canceled

18x = 36

x = 36 / 18

x = 2

Answer:

-0.6

Step-by-step explanation:

Answer:

81,000

Step-by-step explanation:

1      1,000x3=  3,000        

2     3,000x3= 9,000        

3     9,000x3= 27,000      

4     27,000x3= 81,000    

The number of bacteria on your phone after 4 hours is 81,000.

To calculate the number of bacteria on your phone after 4 hours using the exponential function f(x) = 1,000 * 3^x, we can substitute x with 4. So the equation becomes f(4) = 1,000 * 3^4.

Calculating this, we get f(4) = 1,000 * 81 = 81,000.

Answer:1197m³

Step-by-step explanation:

Answer:

Volume of a triangular irregular prism=1300.16m^3 = 1300m^2

Volume of a rectangular prism two answers =  1197m^3 or  1233m^3

Step-by-step explanation:

With rectangular prism two answers we need the rectangle surface area first

A = 9 m x 19 m = 171m

or A = 7 m x 19m

The rectangle prism could be 1197m^3  or 1233m^3

depending how big the rectangle is as we calculate that first then multiply by depth. If we had the direction of measurement of the base we would just get one answer and not two.

Rectangular prism A = 171sq  

V = 1197m^3    =  (171sq x 7)

or V=  1233m^3  = 137sq x 9

If the prism is a irregular prism we add the surface area's

V = (a+b+c)B/3

V = (7x19)(9x7) (9x19) x B = 133 + 63 + 197 x 197  =  3900.5/3 =1300.16

Answer:

Least: 10.5

Greatest: 14.125

Hope that helps!

Step-by-step explanation:

Answer:  A

I hope this is correct

Answer:

irrational

Step-by-step explanation:

Answer:

0.3π is a irrational number.

Step-by-step explanation:

Hope this helps! :)

Answer:

set one 11

set two 208

set to has a wider spread of data

Step-by-step explanation:

Answer:

11 for question number 1.

208 for question number 2.

Step-by-step explanation:

1. Range: 12 - 1 = 11

2. Range: 230 - 22 = 208

Answer:

49 or -1

Step-by-step explanation:

(im going to assume you meant y=50-1 and not y=50x-1)

The intercept would literally be 49 since 50-1=49

y=50x-1 would mean the y intercept is -1

Answer:

the y intercept is (0,49) Plz give branliest i need to level up

Step-by-step explanation:

50 - 1 = 49

y always equals 49

so the y axis is at x coordinate 0 and y intercept is at the y axis

so the point is (0,49)

Answer:

A would be the correct one

Step-by-step explanation:

Answer: the correct answer is A

Step-by-step explanation: