Jason is building a toy box for his little brother Tom. He has painted all six pieces of wood on the outside only. How much area did Jason paint if the lid has a length of 3.5 feet and a width of 3.5 feet and the toy box is 2 feet tall?

Step-by-step explanation:

1. vertical opposite angles

2. corresponding angles

3. alternate interior angles

4. alternate exterior angles

5. corresponding angles

6. vertical opposite angles

7. alternate exterior angles

8. vertical opposite angles

9. corresponding angles

10. alternate exterior angles

Answer:

Part A

1. After 4 weeks of work, Jeremy has saved 300

2. Jeremy worked 8 weeks in order to save $600

3. For every one week of work, Jeremy saved 75 dollars

4. If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

1. Saeed orders 15 meals and his total cost of delivery is $24

2. Saeed paid $32 to have 20 meals delivered

3. For every meal delivered, Saeed is charged $1.6

4. If Saeed pays $19.20 in delivery fees then he ordered 12 meals

Step-by-step explanation:

Part A

The given graph gives the proportional relationship between total amount saved and the number of weeks worked

1. Reading from the graph, at the point where the vertical line from point 4 touches the line of the graph, an horizontal line to the vertical y-axis touches the y-axis at 300

Therefore;

After 4 weeks of work, Jeremy has saved 300

2. The point where an horizontal line from point 600 on the vertical y-axis touches the line of the graph, a vertical line drawn to the horizontal, x-axis touches the x-axis at 8

Therefore;

Jeremy worked 8 weeks in order to save $600.

3. The rate of change of the amount saved to the number of weeks worked, 'm', for the given proportional relationship (straight line relationship, passing through the origin) is given as follows;

Rate of change, m = Constant = y/x

∴ Rate of change of the amount saved to the number of weeks worked = (300-0)/(4 weeks- 0 week) = 75/week

Therefore;

For every one week of work, Jeremy saved 75 dollars

4. The amount Jeremy would have saved in 15 weeks, 'A', is given as follows;

A = m × n

Where;

m = The rate of change of the amount saved to the number of weeks worked = 75/week

n = The number of weeks worked

∴ A = 75/week × 15 = $1,125

Therefore;

If Jeremy works 15 weeks, then he can expect to save 1,125 dollars

Part B

From the graph, we have;

1. From the graph there is a proportional relationship between the total cost of delivery and the number of meals

At the point a vertical line drawn to the line of the graph from 15 on the horizontal axis (number of meals), a horizontal line drawn to the vertical y-axis touches the y-axis at 24

Therefore;

1. Saeed orders 15 meals and his total cost of delivery is $24

2. From the point where the horizontal line from 32 on the vertical axis touches the linear graph of the relationship between the total cost of delivery and the number of meals, a vertical line drawn down to the horizonal axis touches the horizontal x-axis at 20

Therefore;

Saeed paid $32 to have 20 meals delivered

3. The rate of change of the total cost of delivery to the number of meals, 'm', is given as follows;

m = y/x (for proportional relationships)

Taking any corresponding 'x' and y-values

m = 16/10 = 32/20 = 24/15 = 1.6 Dollars/meal

Therefore;

For every meal delivered, Saeed is charged $1.6

4. From m = y/x = 1.6

When y = $19.20

x = y/m = $19.20/($1.6/meal) = 12 meals

Therefore;

If Saeed pays $19.20 in delivery fees then he ordered 12 meals.

Answer:

33.33333333

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1/10 = 10/100

So 10/100 + 88/100 = 98/100

Answer:

The value of k=4

Step-by-step explanation:

we have

f(x)=0.4x

This function represent a linear direct variation (The line passes through the origin)  

we know that  

If f(x) is shifting up by 4 units  

then  

The y-intercept of the function will be the point (0,4)  

therefore  

The function g(x) will be  -----> g(x)=0.4x+4 (equation of the line into slope

intercept form)

The rule of the translation

f(x) --------> g(x)

(x,y) -------> (x,y+4)

The translation is 4 units up

therefore

The value of k=4

Answer:

x = 9

Step-by-step explanation:

By the property of intersecting secants:

[tex]4(x - 3 + 4) = 5(x - 6 + 5) \\ \\ 4(x + 1) = 5(x - 1) \\ \\ 4x + 4 = 5x - 5 \\ \\ 4x - 5x = - 5 - 4 \\ \\ - x = - 9 \\ \\ x = 9[/tex]

Answer:

Mean: 34.8

median:34

Mode: 13,34

Range:65

Step-by-step explanation:

The value of Mean is 34.4

The value of Median is 34 (middle term)

The value of Mode is 13 and 34.

The value of Range is 56.

Here,

The data set is,

53, 13, 34, 41, 26, 61, 34, 13, 69

We have to find the value of Mean , Median , Mode and Range.

What is Range of the data set?

To find Range of the data set we have to find the difference of highest and lowest number of the set.

Now,

The data set is,

53, 13, 34, 41, 26, 61, 34, 13, 69

Firstly we arranged in the ascending order we get;

13, 13, 26, 34, 34, 41, 53, 61, 69

The Mean of data set is calculated as;

Mean = [tex]\frac{13+13+ 26+ 34+ 34+41+ 53+61+ 69}{9} = \frac{310}{9} = 34.4[/tex]

Hence, The value of Mean is 34.4

And, The Median is calculated as,

There are nine numbers (odd) in the data set, so the median is the middle value of given data set after arranging in ascending order.

Hence, The value of Median = 34 (middle term)

Now, The Mode is the number that appears most often within a data set.

In the data set,

13, 13, 26, 34, 34, 41, 53, 61, 69

Number 13 and 34 repeat two times.

So, The value of Mode = 13 and 34

Now, To find Range of the data set we have to find the difference of highest and lowest number of the set.

Here, In the data set;

The highest number = 69

The lowest number = 13

Hence, Range = 69 - 13 = 56

Therefore,

The value of Mean is 34.4

The value of Median is 34 (middle term)

The value of Mode is 13 and 34

The value of Range is 56

Learn more about the range of data set visit:

https://brainly.com/question/24326172

#SPJ2

Answer:

Susan should get a loan and jjustpay without stressing herself and calculaitingthis

Step-by-step explanation:

Answer:

Step-by-step explanation:

One antifreeze solution is 26% alcohol and another is 11% alcohol how much of each mixture should be added to make 24 l of a solution that is 21% alcohol?

Let us represent

First solution =>x

Second solution => y

System of equations

x + y = 24.....Equation 1

x = 24 - y

26% × x + 11% × y = 21% × 24

= 0.26x + 0.11y = 5.04... Equation 2

Answer:

triangle

njjnkj

Step-by-step explanation:

Answer:

1.16*10⁻¹ or 1.16E-1

Step-by-step explanation:

(5.8*10⁻⁶)(2*10⁴)

5.8*2*10⁻⁶*10⁴

11.6*10⁻²

1.16*10⁻¹

1.16E-1

Answer:

option A

Step-by-step explanation:

(X - 2) is the answer

hope it helps

Answer:

No the point (-3,2) doesn't satisfy the equation.

Step-by-step explanation:

2 = -3 -5

(-3) -5

-3 + -5 = -8  

2= -8 is false

Answer:

Answer D 88%

Step-by-step explanation:

To figure this question out we first need to find 1% of 25, which is .25 and then we need to find what percentage 3 is of 25, and so 12 x .25 = 3 which means 3 is 12% of 25, now just subtract it from 100% and we get 88%

(っ◔◡◔)っ ♥ Hope It Helps ♥

Answer:

DCW

Step-by-step explanation:

to make a similarity statement the order of the points has to match so you just reflect the triangle into the same position as the first one and read it like that

Answer:

expresión

Step-by-step explanation:

Answer:

Step-by-step explanation:

Either the question is displayed incorrectly, or some crucial information has been omitted.

Answer:

See Explanation

Step-by-step explanation:

Required

Pair of animal the van can carry

The question is incomplete, as the animals and their weights are not given.

So, we make the following assumed parameters [in other to answer the question]

[tex]Goat = 2500lb[/tex]

[tex]Cow = 4500lb[/tex]

[tex]Dog = 1500lb[/tex]

[tex]Pig = 3000lb[/tex]

Add the weights of any two animals

[tex]Goat + Cow = 2500lb + 4500lb = 7000lb[/tex]

[tex]Goat + Dog = 2500lb + 1500lb = 4000lb[/tex]

[tex]Goat + Pig = 2500lb + 3000lb = 5500lb[/tex]

[tex]Cow + Dog = 4500lb + 1500lb = 6000lb[/tex]

[tex]Cow + Pig = 4500lb + 3000lb = 7500lb[/tex]

[tex]Dog + Pig = 1500lb + 3000lb = 4500lb[/tex]

Next: Select the sum that are less than or equal to 5000lb

[tex]Goat + Dog = 2500lb + 1500lb = 4000lb[/tex]

[tex]Dog + Pig = 1500lb + 3000lb = 4500lb[/tex]

Identify the pairs

(Goat, Dog) and (Dog, Pig)

Using the assumed parameters, the van can only transport the pairing of:

(1) Goat and dog

(2) Dog and pig

Answer:

A

Step-by-step explanation:

Because if your going to divide a whole the whole number needs to be 3/1 so it A the mistake

Answer:

A.) Step 1

Step-by-step explanation:

The actual answer is g=4.

Trevor screwed up at Step 1.

His answer (g = 4/9) to Step 1 (g/3 ⋅ 3 = 4/3 ⋅ 1/3 ) is correct, but it's not the correct answer for g/3 = 4/3.

In Step 1, Trevor's equation was accurate, until the last number (1/3).

If he had flipped 1/3 to 3/1, he would've been correct.

g/3 ⋅ 3 = 4/3 ⋅ 1/3 ← MISTAKE.

Hope this helps out your pet ra- I mean sister.

Answer:

the successful candidate won the election with a 24% margin.

Step-by-step explanation:

With the infomation provided, first you need to find the total amount of votes by adding the number of votes that the successful candidate registered plus the number of votes that his nearest rival secured:

577,500+ 348,700=926,200

Next, you need to find the percentage of votes that the successful candidate registered and that the nearest rival secured by dividing the number of votes by the total amount of votes and multiplying the result for 100:

577,500/925,200=0.62*100=62%

348,700/926,200=38%

Now, you need to find the difference between both percentages to get the margin:

62%-38%=24%

According to this, the answer is that the successful candidate won the election with a 24% margin.

Answer:

equation: y=-2x+2

a=-3

b=-8

Step-by-step explanation:

we need to find the equation of the line containing the point (3,-4) and has the slope (m) of -2

slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

we can plug what we know into the equation:

y=-2x+b

we need to find b though

since the point will pass through the point (3,-4) we can subsitute it into the equation to find b

-4=-2(3)+b

-4=-6+b

2=b

the y intercept is 2

so the equation is y=-2x+2

the line also contains the points (a,8) and (5,b)

first, let's find a

a is the x value of the point

we know the value of y (8)

substitute y as 8 and solve for x

8=-2x+2

subtract

6=-2x

-3=x=a

so a is -3

now find b

b is the y value of the point

we know the x value (5)

substitute x as 5 and solve for y

y=-2(5)+2

y=-10+2

y=-8=b

so b is -8

hope this helps!

Answer:

Step-by-step explanation:

we can say the angle is also +45° going in the clock wise direction.  so take Tan(45)= 1

Cot(45) = 1

b/c  Tan(45) = Sin(45) /Cos(45) = ([tex]\sqrt{2}[/tex]/2) / ([tex]\sqrt{2}[/tex]/2)   ofc that's just 1

b/c Cot(45) = Cos(45) / Sin(45) , which is the same as above 1

Answer:

B 1296

Step-by-step explanation:

Area of a rectangle = Length × Width

Area of a triangle = [tex]\frac{1}2[/tex] × Base × Height

3 sides are rectangles with the measurements of (9mm by 21mm)

So 3(9 × 21) = 567mm^2

6 sides are rectangles with the measurements of (9mm by 9mm)

So 6(9 × 9) = 486mm^2

1 side is a rectangle with the measurements of (9mm by 15mm)

So (9 × 15) = 135mm^2

2 sides are triangles with unknown, but equal bases.

To calculate the base, you subtract 9 from 21:   21 - 9 = 12mm

Therefore the base = 12mm

The other measurement can be found by looking to the left of the triangle (9mm from the side)

So   2([tex]\frac{1}2[/tex] × 12 × 9) = 108mm^2

Add the sides up:

567 + 486 + 135 + 108 = 1296 mm^2

Answer:

y = 2x + 7

Step-by-step explanation:

ALgebra is my best subject! Have a good day!

Answer:

10r+10t

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

Answer:

volume = 145.02 in³

Step-by-step explanation:

volume = 2.3 x 6.5 x 9.7 = 145.02 in³

Answer: B

Step-by-step explanation:6+4+5+3+8=26

26-6=20 20/26=10/13

Answer:

2000 meters

Step-by-step explanation:

From the above question

Total time = 15 minutes

Converting minutes to seconds

1 minute = 60 sec

15 minutes = x

Cross Multiply

x = 60 × 15 = 900 seconds

Hence, 900 seconds = Total time

Total time = Time to the marker + Time from the marker

From the question, we are given the Speed to the marker = 5 m/s

Speed from the marker = 4 m/s

Time = Distance/speed

Let the distance be represented by x

Hence:

x/4 + x/5 =900

Multiply all through equation by Lowest Common Denominator = 20

5x + 4x= 900×20

9x = 900 ×20

Divide both sides by 9

9x/9 = 900 × 20/9

x = 2000 meters

Therefore, the total distance to the marker = 2000 meters

Answer:

Selling price : $52

Step-by-step explanation:

First, find 30% out of 40.

x= (40)(30)=1200/ 100= 12

x=12

Add 30% to the original selling price.

So then you add $12 to $40 to get $52.