Answer:
The total volume of the apartment is
✔ 2,160
An hourly rating of 2.5 BTUs per cubic foot is required, so
✔ multiply the total volume by 2.5
Arthur needs an air conditioner that will provide
✔ 5,400
BTUs to properly cool his apartment.
Step-by-step explanation:
you're welcome
Answer:
2,160
multiply the total volume by 2.5
5,400 BTUs
Step-by-step explanation:
cause said so
find the equation of a line with gradient 5 through the point -4,5
Step-by-step explanation:
5 = 5(-4)+c
5 = -20 + c
5+20= 25
25= c
so
y = 5x + 25
Answer:
m= 5
Points=(-4,5)
y-y'= m(x-x')
y-5 = 5(x-(-4)
y-5=5(x+4)
y-5=5x + 20
y - 5x -25 = 0
Or
y= 5x + 25.
The Oregon Trail is 2,197 miles long. How long would it take a covered wagon traveling 20 miles a day to complete the trip? Hint Round to the nearest
ones place
Answer:
109 days and 9 hours
Step-by-step explanation:
Answer:
About 110 days
Step-by-step explanation:
Round up
2,197 would round up to 200
Divide 2,200 by 20, and there is your answer
can someone please help me figure this out? this is a summative and I'm failing for the year. it's algebra 1.
Part (a)
x = number of bass caughty = number of trout caughtx and y are nonnegative whole numbers.
3x represents the total weight of all the bass, since one bass weighs 3 pounds. Similarly, 2y is the total weight of the trout with each one being 2 pounds. Adding up all the weight of all the fish, we get 3x+2y. This is set equal to 34 pounds which is the total stated weight caught.
In short, we end up with the equation 3x+2y = 34
Now onto the second equation. The expression 5x represents how many points Pat gets from catching x bass, because he gets 5 points per bass. Then we subtract off 2y to represent Pat losing 2 points per trout he catches. Overall, his point total is 5x-2y. This is set equal to his point total of 14.
The second equation is 5x-2y = 14
------------
Answer:
3x+2y = 34
5x-2y = 14
Both equations are needed to form this particular system.
===================================================
Part (b)
We could use a number of methods to solve for (x,y). Possibly the most efficient is elimination. Why? Because note how we have 2y up top and -2y down below. They add to 0y which is just 0. The y terms go away, and are eliminated. Afterward, all we're left with is x in which we can solve for just like any other single variable equation. More info is in part (c).
===================================================
Part (c)
Refer to the answer in part (a). We'll add straight down. So that means we have these three sets of addition operations.
3x+5x becomes 8x2y + (-2y), aka 2y-2y, becomes 0y and the y terms go away34+14 simplifies to 48After those three sets of addition operations, we're left with the much simpler equation 8x = 48. To solve this, we divide both sides by 8 and we get x = 6. This says Pat caught 6 bass.
Use this value of x to find y. So we'll plug x = 6 into either equation involving x,y and solve for y
3x+2y = 34
3(6)+2y = 34
18+2y = 34
2y = 34-18
2y = 16
y = 16/2
y = 8
So we can see that Pat caught 8 trout as well.
The check portion is shown in the attached image below. Effectively, all we're doing is replacing x and y with 6 and 8 respectively. Then we're simplifying both sides. Getting the same number on both sides results in a true equation, and therefore verifies we have the correct (x,y) solution.
Solution: (x,y) = (6,8)
Interpretation: Pat caught 6 bass and 8 trout
Which of these is the cross section if the slice is made perpendicular to the base?
A. square
B. triangle
C. rectangle
D. rhombus
***(NO LINKS AND ANSWER SERIOUSLY)***
Hi there!
[tex]\large\boxed{\text{ C. Rectangle}}[/tex]
If cross sections were made perpendicular to the base, they would assume the shape of the lateral sides.
Thus, the cross sections would be rectangles. The correction answer is C.
Write the rule for the nth term of geometric sequence a1=6 and r=3
Step-by-step explanation:
Hey there!
Given;
a1 = 6
and r = 3
Then;
Let's see, we have a1 "first term" and r "common ratio". So, firstly use the formula.
[tex]nth \: term \: of \: geometric \: sries = {a}^{} . {r}^{n - 1} [/tex]
Now, keep all values.
[tex]nth = 6 \times {3}^{n - 1} [/tex]
So, it becomes like this.
Therefore, the rule is nth= 6*3^n-1.
Hope it helps!
There are 54 benches and 6 picnic tables in a park. What is the ratio
of the number of picnic tables to the number of benches in its
simplest form??????????????????????????????/
Answer:
1 picnic table : 9 benches
Step-by-step explanation:
You just simplify the equation down to its simplest form, so since they both have the gcf of 6, you divided both sides by 6, which results in the answer above.
Calculate the volume of a cube with side length of 7mm.
Answer:
[tex] {7}^{3} = 7 \times 7 \times 7 = 147 {m}^{3} \\ to \: calculate \: the \: volume \: of \: a \: cube \: we \: need \: to \: use \: this \: formula \\ {x}^{3} \\ x = side \: length[/tex]
60% of the students on the field trip love the museum. If 24 students love the museum, how many students went on the field trip?
Answer:
40
60% of 40 is 24
so the answer would be 40
Help pls 40 points
Maths genius awakee!
Two experiments were carried out to find the relationship between the variables x and y. Both
experiments showed that the relationship between x and y is in accordance to 3(9^x) = 27^y and log2 y = 2 + log2 (x - 2). Find the value of x and y that satisfy both experiments.
Answer:
X=5/2 , y=2
Step-by-step explanation:
Sorry if I'm not correct
F4 ke?
Multiply. Express your answer in simplest form. 3 1/2 x 1 2/5. Show work.
Answer:
4 9/10
Step-by-step explanation:
Given sin theta=1/3 and 0 < theta< π/2; find tan 2 theta.
Answer:
tan2θ = 4√2/7
Step-by-step explanation:
Given sin theta=1/3 and 0 < theta< π/+
Required
tan 2 theta
tan2 theta = 2tanθ/1-tan²θ
Get tan θ
sinθ = opp/hyp
adj = √3²-1²²
adj = √9-1
adj = √8
tanθ = opp/adj = 1/2√2
tan2 theta = 2(1/2√2/1-(1/2√2)²
tan2θ = 1/√2/1-1/8
tan2θ = 1/√2/7/8
tan2θ = 8/7√2
Rationalize
tan2θ = 8√2/14
tan2θ = 4√2/7
SOLVE 23 ASAP PLEASE!!
A = ( - 3 , 2 ) ..**&**.. B = ( 4 , 5 )
_________________________________
Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]
Slope = [ 5 - 2 ] ÷ [ 4 - ( - 3 ) ]
Slope = [ 3 ] ÷ [ 4 + 3 ]
Slope = 3 ÷ 7
Slope = 3/7
_________________________________
y - y(A) = Slope × ( x - x(A) )
y - 2 = 3/7 × ( x - ( - 3 ) )
y - 2 = 3/7 ( x + 3 )
y - 2 = 3/7 x + 9/7
y = 3/7 x + 9/7 + 2
y = 3/7 x + 9/7 + 14/7
y = 3/7 x + 23/7
Jenna is opening a clothing store. She plans to start by selling T-shirts. If it
costs her $7 for each shirt, $2 for ink per shirt, and $0.10 a bag, what is her
unit cost per shirt?
O A. $9.10
O B. $2.10
O c. $4.55
O D. $7.00
Her unit cost per shirt is,
= $9.10
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
Jenna's unit cost per shirt is, $9.10
Here, We have;
Cost for each shirt = $7
Cost for ink per shirt = $2
Cost of a bag = $0.10
Hence, Cost of T-shirt is,
= Cost for each shirt + Cost for ink per shirt + Cost for bag
= $7 + $2 + $0.10
= $9.10
Thus, Her unit cost per shirt is,
= $9.10
Learn more about the addition visit:
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The graph compares the weights in pounds of 100 dogs and cats that are brought in to a veterinarian's office.
Two box and whisker plots showing weights of cats and dogs on a number line from 0 to 100. The upper plot represents the dog weights. For this upper plot, the minimum number is 10, the maximum number is 95, the right side of the box is 70, the left side of the box is 35, and the bar in the box is at 50. The lower plot represents cat weights. For this lower plot, the minimum number is 1, the maximum number is 18, the right side of the box is 13, the left side of the box is 6, and the bar in the box is at 10.
How many more dogs than cats were over 10 pounds?
10
30
50
100
Answer:
100
Step-by-step explanation:
Please helplpppppp!!
Answer:
D
Step-by-step explanation:
"x" represents the hours.
so 8 is the fee for the hours, rather than insurance.
6 is the insurance fee.
if the cost per hours is doubled, it'll now be 16.
the answer is "6 + 16x" (D)
Give the trigonometric ratio as a fraction:
Tan Z
X
24
26
Y
10
z
Answer:
your answer is B
Step-by-step explanation:
Answer:
24/ 10
Step-by-step explanation:
We know,
tan θ = opposite/adjacent
∴ tan Z = 24/ 10
Ellie is running down the street at 10 m/s. She sees a double-tall latte on the road ahead of her and starts sprinting. After 5 seconds have passed, Ellie is running 15 m/s. Assuming she does not change directions, what was Ellie’s acceleration?
Answer:
2m/s²
Step-by-step explanation:
acceleration = change in velocity/time taken
a = v-u/t
Given
v = 15m/s
u = 5m/s
time t = 5secs
Substitute
a = 15 - 5/5
a = 10/5
a = 2m/s²
Hence Ellie’s acceleration is 2m/s²
Find m
p (8x+2)
q (10x-19)
r (16x-7)
Answer:
you have to add all the angles of a triangle so the value of m is 6
I need helppp pls I’m confused
Answer:
30 ft²
Step-by-step explanation:
Area of a paralleogram formula:
A = bh
A = (6)(2)
A = 12
Area of a rectangle:
A = bh
A = 6(3)
A = 18
Combined:
12 + 18
30
solve the inequality 14≥3x+2
Answer:
4 ≥ x
Step-by-step explanation:
14 ≥ 3x + 2
14 - 2 ≥ 3x
12 ≥ 3x
4 ≥ x
Solving the inequality 14 ≥ 3x+2 we get x ≥ 4.
What is inequality?In mathematics, an assertion of an order connection greater than, greater than, or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
Given:
14 ≥ 3x+2
Switch sides
3x+2 ≥ 14
Subtract 2 from both sides of the equation, we get
3x + 2 - 2 ≥ 14 - 2
Simplifying the above equation
3x ≥ 12
Divide both sides by 3, we get
3x/3 ≥ 12/3
x ≥ 4
Therefore, the value of x ≥ 4.
To learn more about inequality
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Simon is playing a game with letter tiles.
Answer:
so what should I do
Step-by-step explanation:
hope it helps
4•(-6) • (-2) =
plz help
Answer:
should be 48
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
Apply rule- a * (-b) = -a * b
4 * (-6)
= -24(-2)
= 48
Hope this helps:)
what is the answer to this problem?
what is the value of x?
Answer:
12
Step-by-step explanation:
I need help pls! Giving brainliest and extra points!
Answer:
y = 8x+6
Step-by-step explanation:
First find the slope since it is a linear function
m = (y2-y1)/(x2-x1)
= (18-2)/(1 1/2 - -1/2)
=16 / (1 1/2 +1/2)
= 16/2
= 8
The linear function is in the form
y = mx+b where m is the slope
y = 8x+b
Substitute the other point into the equation to determine b
10 = 8(1/2) +b
10 = 4+b
10-4 = b
6 = b
y = 8x+6
please guys do this i need help
List at least 3 positive consequences of having the human population grow so fast.
List at least 3 negative consequences of having the human population grow so fast.
The rates of population growth are not the same, of course, in all parts of the world. Among the industrialized countries, Japan and most of the countries of Europe are now growing relatively slowly—doubling their populations in 50 to 100 years. Another group of industrialized countries—the United States, the Soviet Union, Australia, New Zealand, Canada, and Argentina—are doubling their populations in 30 to 40 years, approximately the world average. The pre-industrial, low-income, and less-developed areas of the world, with two thirds of the world’s population—including Asia (except Japan and the Asiatic part of the Soviet Union), the southwestern Pacific islands (principally the Philippines and Indonesia), Africa (with the exception of European minorities), the Caribbean Islands, and Latin America (with the exception of Argentina and Uruguay)—are growing at rates ranging from moderate to very fast. Annual growth rates in all these areas range from one and one-half to three and one-half per cent, doubling in 20 to 40 years.
The rates of population growth of the various countries of the world are, with few exceptions, simply the differences between their birth rates and death rates. International migration is a negligible factor in rates of growth today. Thus, one can understand the varying rates of population growth of different parts of the world by understanding what underlies their respective birth and death rates
?????????????????????????????????????????????????
Answer:
63/50 or 1 13/50
Step-by-step explanation:
Answer:
Step-by-step explanation:
the first one
formula of slope , if angle is give
Answer:
formula of slope if angle is given:
Tan (angle given)
Step-by-step explanation:
Devon writes a number pattern. He starts with 3 and follows the rule “multiply by
2." Which numbers could be in Devon's pattern
Answer:
3,6,12,24.48,96,192
Step-by-step explanation:
pls help me i really need it
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of slides ridden and y represent the total cost. Hence:
1) For option 1, the table is shown. It passes through (2,10) and (6, 20). The equation is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{20-10}{6-2} (x-2)\\\\y=2.5x+5[/tex]
2) For option 2, the equation is given by y = 5x + 7.5
3) For option 3, the graph passes through (30, 100) and (10, 40). Hence the equation is:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-40=\frac{100-40}{30-10} (x-10)\\\\y=3x+10[/tex]
Option 2 has the highest rate