Answer:
14 ft
Step-by-step explanation:
Let x represent the number of segments of the divided wood beam
Let y represent the total length of the wood beam.
Given that each segment measures 3.5, the equation to express this scenario is given as
y = 3.5x
Thus, to find the length of the wood beam, substitute x = 4 into the equation.
We would have:
y = 3.5(4)
y = 14
Length of the wood beam = 14 ft
Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle. He spent 2 hours repairing her bike. Which expression would be used to correctly calculate the amount Roberta owes him?
a.(2 × 25) + 105
b.(105 x 2) + (25 x 2)
c.2 x (25 + 105)
d.2 x 25 × 105
Answer:
a.(2 × 25) + 105
Step-by-step explanation:
Let the number of hours spent repairing the bike = x
Mr. Jones charged Roberta $105 for parts and $25 per hour for labor to repair her bicycle.
Therefore, our algebraic expression
= $25× x + $105
= 25x + 105
We were told in the question that He spent 2 hours repairing her bike.
Hence:
25 × 2 + 105
Therefore, the correct option is option a
a.(2 × 25) + 105
What is the equation in slope-intercept form for the line that passes through the points (–1, 3) and (–2, –3)?
Answer:
The answer is y = 6x + 9.
-
Step-by-step explanation:
☆Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆Slope-intercept: [tex]y = mx + b[/tex]
---
☆We need to find the slope first. So just plug in according to the slope formula!
[tex]m = \frac{ - 3 - 3}{ - 2 - ( - 1)} = \frac{ - 6}{ - 1} = 6[/tex]
---
☆Now we need to find the y-intercept. We are going to plug in the slope and a set of coordinates to find the y-intercept.
[tex]y = mx + b \\ 3 = 6( -1 ) + b \\ 3 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: \: }{9 = b \: \: \: \: \: \: \: \: \: \: \: } [/tex]
---
☆Now all we need to do is plug in and we are done!
[tex]y = 6x + 9[/tex]
▪Happy To Help <3
Identify the range of the function shown in the graph.
A. {-2, 2}
B. -2 < y< 2
C. y> 0
D. yis all real numbers.
Given:
The graph of a function.
To find:
The range of the function.
Solution:
Range is the set of y-values or output values.
From the given graph it is clear that,
[tex]f(x)\to -\infty\text{ as }x\to -\infty[/tex]
[tex]f(x)\to \infty\text{ as }x\to \infty[/tex]
And the value function can be any real number. So,
Range = [tex]-\infty<y<\infty[/tex]
Range = [tex](-\infty, \infty)[/tex]
Range = y is all real numbers.
Therefore, the correct option is D.
Answer:
D. y is all real numbers.
Step-by-step explanation:
Range is the set of y-values or output values.
From the given graph it is clear that,
And the value function can be any real number. So,
Range =
Range =
Range = y is all real numbers.
Therefore, the correct option is D.
5/= 1.5 x 25
What is 1.5 × 25
A. 22.5
B. 37.5
c. 52.5
D. 85.5
Answer:
37.5 is the answer
Step-by-step explanation:
all you do is just multiply the 2 numbers
Promise Easy Points
Calculate the average monthly expenses for these individuals?
Kelsey spent $350 in May, $432 in June and $420 in July. Her average monthly expenses are:____
Michael spent $700 in April and May and $800 in June and July. His average monthly expenses are:____
$420+$350+$432=kelsey's monthly expenses
$700+$800=Micheal's Monthly expenses
Michael's average monthly expenses are $750.
What is the average?The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.
Given that, Kelsey spent $350 in May, $432 in June and $420 in July.
Now, average monthly expenses are
(350+432+420)/3
= 1202/3
= 400.67
Michael spent $700 in April and May and $800 in June and July.
Here, (700×2+800×2)/4
= (1400+1600)/4
= 3000/4
= $750
Therefore, Michael's average monthly expenses are $750.
To learn more about an average visit:
https://brainly.com/question/11195029.
#SPJ2
This is 10 questions please answer. 1.Write the ratio as a fraction in the simplest form 15 girls to 6 boys. 2.Write The ratio as a fraction in simplest form 24 players: 3 teams.
3. Write The ratio as a fraction in simplest fraction form 48 worksheets: 12 students.
4. Tell whether the ratios form a proportion 4/7 the 4 is on top of the 7 24/35 the 24 is on top of the 35. 5. Tell whether the ratios form a proportion 11/12 11 top of the 12 33/36 33 on top of the 36. 6. 8/24 8 on top of 24 5/15 5 on top of the 15. 7.3/7 3 is on top of the 7 12/21 12 top of the 21 8. Tell whether the two rates form a proportion 25 cars in 5 days; 60 cars in 12 days.
9.14 books in 2 boxes; 20 books in 3 boxes.
10.On a monday you swim 12 laps in 30 minutes. On tuesday you swim 15 laps in 45 minutes are these rates porportional? Explain.
Answer and explanation:
1. 15 girls to 6 boys = 15:6
15/6= 5/2
2. 24 players to 3 teams = 24:3
24/3= 8/1=8
3. 48 worksheets to 12 students =48:12
48/12= 4/1
4. 4/7 and 24/35 are not proportional as they do not reduce to same ratio
5. 11/12 and 33/36 are proportional because they reduce to same same ratio(33/36=11/12)
6. 8/24 and 5/15 are proportional beacaue they reduce to same ratio(8/24=5/15=1/3)
7. 3/7 and 12/21 are not proportional because they do not reduce to same ratio(3/7≠12/21)
8. 25 cars in 5 days= 25/5= 5 cars each day. 60 cars in 12 days = 60/12=5 cars each day. Therefore they are proportional.
9. 14 books in 2 boxes= 7 books per box. 20 books in 3 boxes = 20/3= 6.667. Therefore they are not proportional.
10. 12 laps in 30 minutes =12/30=2/5
15 laps in 45 minutes =15/45=1/3. Therefore they are not proportional.
Mateo has 31/2 pounds of apples he uses 3/4 of a pound of apples for each batch of applesauce how many batches of applesauce can he make
Answer:
20 2/3
Step-by-step explanation:
a car can drive 165 miles in 5 hours.
how many yards can thee car travel in a hour
Answer: 58,080 yards in one hour.
Step-by-step explanation:
1. 165 miles ÷ 5 = 33 miles per hour
2. 1 mile = 1760 yards
3. 1760 x 33 = 58,080 yards.
4. 58,080 yards per hour.
Therefore the car travels 58,080 yards in 1 hour.
I need help with this.
Answer:
D=4
C=12.56
Step-by-step explanation:
D=2r
d=2×2
D=4
C=pi ×D
C=3.14×4
C=12.56
At a restaurant, the bill comes to $30. If you decide to leave a 10% tip, how much total do you need to pay? Give your answer to the nearest dollar.
Answer:
33dollors if I'm not mistakin
Find the distance between the two points rounding to the nearest tenth (if necessary).
(4,0) and (0,9)
Answer:
need a picture hdhxhxhxhx
PLZ HELP!! WILL AWARD BRAINLIEST!!
Graph the following equations.
y = 2x + 1
Answer:
The one is the y intercept so you would place it at (0,1) and then sense the slope is 2/1 you would either go back one and down two or go up two and over one
Step-by-step explanation:
A professor in one city earns $61,000 a year. A bioengineer earns $95,750. A nurse earns $50,600. What is the difference in salary between the professor and nurse?
Answer:
The difference is 10,400$.
Step-by-step explanation:
$61,000-$50,600=$10,400
Chris paid $3,069 for 3 iphones. Each iphone costs the same amount. How much did each iphone cost? Solve this problem using a strategy of your choice.
Answer 1029
Step-by-step explanation: So, since all of the phones cost 3,069 in total, divide 3,069 by three. You get 1029.
Joel has a bag with 128 pieces of candy in it. He gives his sister 25% of the candy. How many pieces of candy does Joel give his sister?
Answer:
[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces\: \: of \: \: candy[/tex]
Step-by-step explanation:
[tex] \frac{x}{128} = \frac{25}{100} [/tex]
[tex](x)100 = (25)128[/tex]
[tex](x)100 = 3200[/tex]
[tex] \frac{(x)100}{100} = \frac{3200}{100} [/tex]
[tex]x = \frac{3200}{100} [/tex]
[tex]x = 32[/tex]
[tex]Joel \: \: gave \: \: his \: \: sister \: \: 32 \: \: pieces \: \: of \: \: candy[/tex]
Solve the equation
-3x - 5 =16
What does x =??
Answer:
x=-7
Step-by-step explanation:
[tex]x = 21 \div - 3 \\ x = - 7[/tex]
Answer: -7
Step-by-step explanation:
Move all terms that don't contain
x
x
to the right side and solve
What’s the answer pls
Answer:
Step-by-step explanation:
There is no bird on the spinner. therefore the answer is impossible because there is no bird.
Answer:
Impossible - There's no bird on the wheel.
Step-by-step explanation:
Bob built birdhouses to sell at the craft fair for $8.00 each. He had to spend $40 for materials . Which inequality represents the number of bird houses he must sell to make more than $ 200?
Answer:
8x - 40 > 200
Step-by-step explanation:
Let f(x) be defined on the positive real numbers as follows:
Start with a number x.
Take the square root of the number and add 3 more than the number you started with.
Square the result and add 2 more than the original number.
Finally, divide the result by 2 more than the square of the original number.
Required:
Write a formula for f(x).
Answer:
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Step-by-step explanation:
We have to find the formula for f(x)
Let x be the number
According to question
Now,
[tex]\sqrt{x}+x+3[/tex]
Now,
After squaring we get
[tex](\sqrt{x}+x+3})^2[/tex]
Add x+2 to above result then, we get
[tex](\sqrt{x}+x+3})^2+2+x[/tex]
Then,
[tex]\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
Therefore, the formula for f(x) is given by
[tex]f(x)=\frac{(\sqrt{x}+x+3)^2+2+x}{x^2+2}[/tex]
PLSSS HELP NOW I WILL GIVE BRAINLIEST WHO EVER ANSWERS THIS QUESTION
Answer:
√6: 2.44
Step-by-step explanation:
first one since it's closer to the square root of 6
Kiara tosses four different coins. What is the probability that the coins land with two head and two tails showing?
Group of answer choices
4/8
0
6/8
6/16
What is the area of the composite figure?
Hello! :)
[tex]\large\boxed{A = 32.5cm^{2}}[/tex]
We can use the following area to solve for the area of the trapezoid pictured:
[tex]A = \frac{1}{2}(b_{1} + b_{2})h[/tex]
Where:
h = height
b1 = bottom base
b2 = top base
Plug in the given values:
[tex]A = \frac{1}{2}(9 + 4)(5)[/tex]
Simplify:
[tex]A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}[/tex]
Pls help out need answers quick
Answer: answer is 8 because -5 + 1 = -4 then + 10 = 4
Answer:
see photos
Step-by-step explanation:
Plato/Edmentum
PLZ HELP ME What shape is this cross-section?
Answer:
i'm not sure if i'm right but think is cube
my friend needs help with this can someone help
Answer:Sorry
Step-by-step explanation:
Hi would help but i dont know and im not in collage sorry.
Find the equation of the linear function represented by the table below in slope
intercept form
Answer:
y=x+2.
Step-by-step explanation:
1. if the point A has coordinates (-3;1) and B - (1;3), then it is possible to make up the equation:
[tex]\frac{x-X_A}{X_B-X_A}= \frac{y-Y_A}{Y_B-Y_A}; \ => \frac{x+3}{4} =\frac{y+1}{4};[/tex]
2. if to evaluate the equation, then
x+3=y+1; ⇔ y=x+2 (slope-interseption form).
How do you graph y=−x−2.
three and two forths - one and two thirds =
3 2/4 - 1 2/3 =
Answer:
1.83333333333
Step-by-step explanation:
pls mark me brainliest
ok thanks :) :) :) :)
87,900
3. Salome is 2 feet 5 inches tall. How many inches tall is Salome? *
5 points
31
29
24
There are 13 students in one line and 21 students in the other line. If the 5 points
Salome is 2 feet 5 inches tall. How many inches tall is Salome?
Answer:
Salome is 29 inches tall.
Step-by-step explanation:
Each feet has 12 inches.
Salome:
Salome is 2 feet 5 inches tall.
Since each has 12 inches, 2 feet = 2*12 = 24 inches
24 + 5 = 29 inches.
So Salome is 29 inches tall.
Which equation represents the line that has a slope of 4 and passes through the point (2, 7)?
Answer:
The answer is y = 4x - 1.
Step-by-step explanation:
☆The equation we'll be using: y = mx + b
☆Since we already have the slope. we have to find the y-intercept.
☆[tex]y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } [/tex]
☆Using the information we gathered and was given, we just to put them together.
☆[tex]y = 4x - 1[/tex]
Answer:
y=4x-1
Step-by-step explanation: