A package of 3 pairs of insulated gloves costs $26.07. What is the unit price of the pairs of
gloves?

These triangles are congruent by SAS, therefore HI and IJ will be the same length.

3v = v + 60

2v = 60

v = 30

Hope this helps!

Answer:

Step-by-step explanation:

First of all, something is wrong with either the wording in the problem or the equation that you wrote; if the upward velocity is 18, we should see 18t in the equation, not 10t. I solved using 10t.

To find the max height of the ball and the time it took to get there, we need to complete the square on this quadratic and solve for the vertex. That will give us both of those answers in one!

To complete the square, set the quadratic equal to 0 and then move over the constant, like this:

[tex]-5t^2+10t=-35[/tex]  The rule is that we have to have a 1 as the leading coefficient, and right now it's a -5, so we factor that out, leaving us with:

[tex]-5(t^2-2t)=-35[/tex] and now we are ready to begin the process to complete the square.

The rule is: take half the linear term, square it, and add it to both sides. Our linear term is a -2 (from the -2t); half of -2 is -1, and -1 squared is 1. We add in a one to both sides. BUT when we put the 1 into the set of parenthesis on the left, we didn't just add in a 1, we have that -5 out front that is a multiplier. That means that we actually added in a -5 after it's all said and done.

[tex]-5(t^2-2t+1)=-35-5[/tex] and we'll clean that up a bit. The right side is easy, that's a -40. The left side...not so much.

The reason we complete the square is to put this quadratic into vertex form. Completing the square creates a perfect square binomial on the left, which for us is, along with the simplification on the right:

[tex]-5(t-1)^2=-40[/tex]

Lastly, we move the -40 back over by adding and setting the quadratic back to equal y:

[tex]-5(t-1)^2+40=y[/tex] and we see that the vertex is (1, 40). That translates to a height of 40 meters at 1 second after launch. That's the vertex which, by definition, is the max or min of the parabola. Because our parabola is negative, the vertex for us is a max.

To find out how long it takes the ball to hit the ground, set the quadratic equal to 0 and factor however it is you are currently doing this in class. You can continue to factor from the vertex form we have the equation in if you'd like. Let's do that, since we are already most of the way there. Begin here:

[tex]-5(t-1)^2=-40[/tex] and divide both sides by -5 to get

[tex](t-1)^2=8[/tex] and take the square root of both sides to "undo" that squaring on the left:

t - 1 = ±√8. Now add 1 to both sides to isolate the t:

t = 1 ± √8. In decimal form:

t = 1 + √8 is 3.828 seconds and

t = 1 - √8 is -1.828 seconds.

Since we all know that time will NEVER be a negative value, the time it takes the ball to hit the ground is 3.828 seconds.

Answer:

Step-by-step explanation:

If we have 5 terms to the right of the -1 outside the box thing, that means that our original polynomial is a 4th degree (the degree is one lower than the number of terms in order to allow for the constant which has no variable). Set up the synthetic division as shown in the problem. The rule is to bring down the first term, the 1 to the right of the box, multiply it by the number outside, -1, and put that product up under the next number in line inside the box. Like this:

-1 |   1    7     15     9     7

          -1                        

      1  

Now add straight down, multiply the sum by -1 and put that product up under the next term in line, the 15:

-1 |   1     7     15     9     7

            -1     -6              

      1     6  

Then add straight down again, multiply the sum by -1 and put that product up under the next term in line, the 9:

-1 |     1     7     15     9     7

              -1     -6    -9      

        1     6     9

Then do the same thing. Add straight down, multiply the sum by -1 and put the product up under the next term in line, the 7:

-1 |     1     7     15     9     7

              -1     -6    -9     0

        1     6      9     0     7

This is the final result. The last number, the 7 is the remainder, but the rest of it makes up what we call the depressed polynomial and is a polynomial that is one degree less than the degree we started with. So this depressed polynomial is a 3rd degree. The numbers are the coefficients on the x terms:

[tex]1x^3+6x^2+9x+0R7[/tex] or more simply stated:

[tex]x^3+6x^2+9xR7[/tex]

Answer:

-16

Step-by-step explanation:

Follow . PEMDAS

plug the numbers in

4*2 =8 and -4*6=24

add both...

-16.

Step-by-step explanation:

4(2)+(-4)(6)

8-24

-16

hope it helps..

Answer:

i have also no idea but plz mark me as brainlist

Answer:

10x-20

Step-by-step explanation:

(5×2x)-(5×4)

10x-20

Answer: -5

Step-by-step explanation:

square brackets mean that you need to select an integer part from the number that does not exceed the original number, that is, if we have a number, that is, if [5,1]=5 or [-5,1]=-6    ;  curly brackets highlight the fractional part {}   [tex]\displaystyle\ \Large \ \boldsymbol{Rules: } \\\\\\\boldsymbol{ if \ x >0 => [x]=x-\{x\}} \\\\\\\boldsymbol{if \ x<0 => [x]=x-1+\{x\}} \\\\\\then \ \ f(-5)=[-5+1]= [-4]=-4-1+0=\boxed{-5}[/tex]                                                                                                              

Answer: -21/2 or -10.5

Step-by-step explanation:

Let x be the number that is going to be subtracted from the rational number

3 × (-8/3) - x = 5/2 ⇒ Write the equation

-8 - x = 5/2 ⇒ Do multiplication

-8 - x + x = 5/2 +x ⇒ Add x on both sides

-8 = 5/2 + x ⇒ Simplify

-8 - 5/2 = 5/2 + x - 5/2 ⇒ Subtract 5/2 on both sides

x = -21/2 = -10.5 ⇒ Simplify

Hope this helps!! :)

Please let me know if you have any questions

Answer:

the first one

Step-by-step explanation:

check which graph passes through the point (2,4)

Answer:

First graph

Step-by-step explanation:

Edge

Question 2

3rd part and 4th part are equivalent

Question 3

(i) 762,500

(ii) 7625

(iii) 0.007625

Answered by GauthMath please click thank you and comment thanks if you like it.

Answer:

Step-by-step explanation:

55 +80 + ∠C = 180   {Angle  sum property}

135 + ∠C = 180

∠C = 180 - 135

∠C = 45

The side opposite to the biggest angle is the longest side

Biggest angle is ∠B. So the longest side is AC

Smallest angle is ∠C. So, the shortest side is BA

Answer:

There are three laws of indices.

Answer:

4 ÷ 5 + 1 ÷ 10 + 5 ÷ 6 = 1.733

Step-by-step explanation:

Answer:

january = 10/20 = 1/2

februry = 7/14 = 1/2

so, we conclude that the auto dealership didn't have a lower ratio, since the ratio is equal in both months.

hope it helps :)

Answer:

The answer would be C.

Compared to the original graph (red), the new graph (blue) is shifted 7 units to the left.

Step-by-step explanation:

Answer:

shift 7 units to the LEFT

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The correct inequality that represents the given situation is: A.) n - 87 < 320.

The situation states that Samuel played a video game and gained some points. Let's represent the points he gained as 'n'.

Next, it is mentioned that he lost 87 points. To represent this in the inequality, we subtract 87 from the initial points gained, which gives us 'n - 87'.

Finally, the situation specifies that Samuel finished with less than 320 points. This means that the final score, represented by 'n - 87', is less than 320.

This inequality represents that the initial points gained by Samuel (n) minus 87 points is less than 320 points, indicating that his final score is less than 320 points after losing 87 points.

Learn more about equations

https://brainly.com/question/2972832

#SPJ2

Answer:

Step-by-step explanation:

Remark

The measurement of the arc is 3Pi

that represents 108 / 360 of the circle.

Equation

108/350 2 * pi * R = 3* pi

Solution                            

Pi is on both sides of the equation. They both cancel.

108/360 = 0.3

0.3 * 2 * R = 3

0.6 * R = 3

R = 3/0.6

R = 5

Answer:

Step-by-step explanation:

abscissa = x coordinate

ordinate = y coordinate

table:

A( 2,-3)   / (2, -3) / 2/  -3

B(-1,-7)    / (-1, -7) / -1/  -7

C(2,0)    / (2,0)   / 2 / 0

D(-9, 6)  / (-9,6) / -9 / 6

E(2,4) .  / (2,4) .  / 2 / 4

F(0,-5)  /  (0,-5) / 0 / -5

Answer:

B. 11:35 am

Step-by-step explanation:

11:30 a.m. the bottle is 1/4 of the way full.

At what time will the bottle be 1/2 full?

Time required = 1/4 ÷ 1/2

= 0.25/0.5

= 0.5 minutes

Total time required for the bottle be 1/2 full

= 11:30 am + 0.5 minutes

= 11:35 am

B: 11:35 a.m

Answer:

A The bottle was 1/2 full at 11:35 a.m. and doubled again after 5 minutes.

B The bottle was 1/4 full at 11:30 a.m. and doubled twice after 10 minutes.

D Exponential growth involves a constant multiplicative rate of change.

Step-by-step explanation:

Edge 2021

Answer:

$100

Step-by-step explanation:

The amount Lucia gave Brenda = Half the amount in the store counter

The amount Brenda added to the money Lucia gave her = Half the amount in her (Brenda) savings

The amount Brenda had saved = Half of the amount Lucia earned in the store that day

The number of food and treat packets Brenda bought = 5

The cost of each packet = $15

Let x represent the amount Lucia earned and let y represent the amount Brenda saved

We have;

x/2 = y

x/2 + y/2 = 15 × 5 = 75

Therefore, we get;

y + y/2 = 75

(3/2)·y = 75

y = 75 × 2/3 = 50

y = 50

From x/2 = y, we have;

x/2 = 50

x = 2 × 50 = 100

The amount Lucia earned in her store that day, x = $100

Answer:

The length of the kitchen is 2.23 meters.

Step-by-step explanation:

Given that a mouse has made holes in opposite corners of a rectangular kitchen, and the width of the kitchen is 2 meters and the distance between the mouse's holes is 3 meters, the following calculation must be performed to determine what is the length of the kitchen, using the Pythagorean theorem:

Width = 2 meters

Hypotenuse = 3 meters

2 ^ 2 + X ^ 2 = 3 ^ 3

4 + X ^ 2 = 9

X ^ 2 = 9 - 4

X = √ 5

X = 2.236

Therefore, the length of the kitchen is 2.23 meters.

Answer:

Hello,

Step-by-step explanation:

Since 4u²+8u=4u(u+2)

Zeroes ={0,-2}

Coefficients={4,8}

But i don't know the relationship.

Answer:

wouldn’t it just be 21? because both are the same but mirrored

Given:

The combination is:

[tex]^{34}C_{21}[/tex]

To find:

The [tex]^{34}C_{21}[/tex] as the sum of two terms from pascals triangle.

Solution:

According to the pascals triangle:

[tex]^{n+1}C_{r+1}=^nC_r+^nC_{r+1}[/tex]

We have,

[tex]^{34}C_{21}[/tex]

Using the pascals triangle formula, we get

[tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex]

Therefore, [tex]^{34}C_{21}=^{33}C_{20}+^{33}C_{21}[/tex].

Answer:

64 volume of the cuboid

formula used is lbh multiplies together.

Mark me as brainliest

Hope it helps:)

Step-by-step explanation:

Answer:

yes it is a function         A

Step-by-step explanation:

Answer:

Open the image. (Hope you don't mind about bad writing)

Answer:

200 adults

Step-by-step explanation:

1/8 of the passengers (children) is 40

Total passengers in the train is 8/8

Therefore to get the total number of passengers is given by

(8/8) × 40 × (8/1)

= 240 passengers

Adults in the train = Passengers - Children

= 240 - 40

= 200 adults

Answer:

C, D

Step-by-step explanation:

I assume your problem statement actually says

x - 54 > -76

x > -22

then the answers

C, D

are part of the solution set.

the others are not.