Answer:
B. 28.57%Step-by-step explanation:
Change in height:
72 - 56 = 16Percent of change:
16/56*100% = 28.57%Correct choice is B
IMPORTANT!!!
Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x
5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4
An architect is trying different dimensions for the room shown below. Write an algebraic expression the architect can use to find the area of the room then find the area when x is 6 m. Show your work.
Answer:
x² + 12
48m²
Step-by-step explanation:
Find the diagram attached.
The room can be segregated into two rectangles
The area of the room = Area of bottom rectangle + area of the top rectangle
Area of the bottom rectangle = x * (x-3) = x² - 3x
Area of the top rectangle = 3* (4+x) = 12 + 3x
The area of the room = x² - 3x + 12 + 3x
Area of the room = x² + 12
Hence the algebraic expression that the architect can use to find the area of the room is x² + 12
Given x = 6m
The area of the room = x² + 12
The area of the room = 6² + 12
The area of the room = 36 + 12
The area of the room = 48m²
16. A truck traveling 45 miles per hour and a train traveling 60 miles per hour cover the same distance. The truck travels 2 hours longer than the train. How many hours does each travel?
What equation would represent the total distance traveled by both the train and the truck? [Hint: Remember the distance traveled formula d = rt.]
A. 105x + 90
B. 105x
C. 45x + 90
D. 60x
Answer:
The equation representing the total distance would be A. 105x + 90.
The time the truck has travelled would be 8 hours while the time traveled by the train would be 6 hours.
Step-by-step explanation:
Firstly, let's set the time travelled by the train to be x hours.
According to the question, the equation would be 45(x + 2) = 60x, because the truck has travelled 2 more hours than the train.
Hence:
[tex]45(x + 2) = 60x[/tex]
[tex]45x + 90 = 60x[/tex]
[tex]90 = 60x - 45x[/tex]
[tex]15x = 90[/tex]
[tex]x = 6[/tex]
Therefore, the truck has travelled a total of (6 + 2) hours = 8 hours, and the train has travelled for 6 hours.
Also, the equation can be found by adding both equations up:
[tex]45(x + 2) + 60x[/tex]
[tex]= 45x + 90 + 60x[/tex]
[tex]= 105x + 90[/tex]
Hope this helped!
what are ratios that are equivalent to 16:12
Answer:
20:15, 24:18, 28:21, etc.
Step-by-step explanation:
Just divide 16 by 12 to get 4/3. Then whatever you multiply to 4, multiply to 3, and get more answers.
Answer:
4:3, 8:6, 12:9, 20:15, 24:18, 28:21, 32:24, 36:27, 40:30 and so on.
Step-by-step explanation:
The denominators are all multiples of 3 and the numerators are multiples of 4.
Line t has an equation of y = x + 2. Line u is parallel to line t and passes through
(10, 4). What is the equation of line u?
Answer:
y=x-6
Step-by-step explanation:
The carpenter needed a board that was 3.6 m long. How many inches will be needed?
Select one:
o
a. 9.1 in.
b. 129.6 in.
C. 141.7 in.
d. 3.9 in.
Answer:
c. 141.7 in
Step-by-step explanation:
multiply the length value by 39.37
Find the slope of a line that passes through the
following ordered pairs. Reduce to lowest
terms.
(7, 1) (0, -3)
Answer:
Thes slope is -4/ -7
Step-by-step explanation:
You use the equation Y2 - Y1 / X2 - X1
So this would look like this: -3 -1 / 0 - 7 when you plugin the numbers
So when you do the math, you're left with -4 / -7, which is the slope
Answer:
slope: 4/7
Step-by-step explanation:
Which of the following inequalities matches the graph? (1 point)
Answer: 2x + y < 7
Step-by-step explanation:
In the graph we can see that:
The line is a dashed line, and the shaded area is below the dashed line, then we will have something like:
y < a*x + b
We also can see that the slope of the line is negative, and that the y-intercept is +7
Then the inequality will be something like:
y < a*x + 7
Now we can see that the line passes through the points (0, 7) and (3, 1)
Then the slope will be:
a = (1 - 7)/(3 - 0) = -6/3 = -2
that is negative, as we already said.
Then we have:
y < -2*x + 7
we can rewrite this as:
2x + y < 7
This is the first solution shown.
Hey guys happy holidays! any help is appreciated :)
Answer:
Nope
Step-by-step explanation:
The reason for this is that if it was rotated 180º, it would mean that the triangle was in QIII.
***And have a nice winter break!!!! ;***
Helppp I’ll mark you as brainlister you
Answer:
[tex]\triangle KLM \sim \triangle GFH[/tex]
Step-by-step explanation:
In similar triangles, the corresponding angles must be congruent. We see from the diagram that [tex]\angle K \cong \angle G[/tex], [tex]\angle L \cong \angle F[/tex], and [tex]\angle M \cong \angle H[/tex]. Therefore, [tex]\triangle KLM \sim \triangle GFH[/tex].
what is the y-intercept of a line that has a slope of -3 and passes through point (0,-7)
A -7
B -3
C 0
D 4
28=−4x+5−x−2
what is X?
Answer:
X= -5
Step-by-step explanation:
Write this equation in slope-intercept form.
6X-3Y=18
Answer:
y=2x-6
Step-by-step explanation:
subtract 6x from each side. divide each side by -3.
Help hurry pls. We are doing average rate of change and I need help
Answer:
09876543321
Step-by-step explanacdbhcybtfcbdshbcyhds\cdcd
What is the length of AE
can someone help please??
what is the y-intercept of this line: y=2/3x-4
Answer:
-4
Step-by-step explanation:
Answer:
the y-intercept is -4.
Step-by-step explanation:
y = mx+b
m = slope
b = y-intercept
What does 9+10 equal?
Find the volume of this solid
Answer:
42.39in^3
Step-by-step explanation:
half of 3= 1.5
Which 1.5 would be our radius. (r)
V= pi(3.14) x r^2 x h (VOLUME FORMULA FOR CYLINDER)
V= (3.14) x 1.5^2 x 6
V= (3.14) x 2.25 x 6
V= 42.39in^3
The produce department of a grocery store sold 288 pounds of tomatoes. The rest spoiled and had to be discarded. The amount that spoiled represented 28% of the shipment the store received. How many pounds of tomatoes were originally received?
Will mark brainliest
Answer:
369
Step-by-step explanation:
28% 0f 288=80.64
228lbs sold + 80.64(Round off) =81 = spoiled =369
a carton of orange juice contains 540ml a special offer carton contains an extra 35% how many millilitres are in the special offer carton?
The carton contains 729 mL.
What is the Fraction?Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole.
How to solve it?We have.
540mL x .35 = 189 mL
189 mL + 540 mL = 729 mL
The carton contains 729 mL.
Learn more about Fractions:
brainly.com/question/1369626
#SPJ2
a recipe for 1 batch of cookies calls for 1 1/2 cups of flour how Many are needed for 3 batches
Answer:
4 1/2
Step-by-step explanation:
step 1: multiply 1 * 3 = 3
Step 2: multiply 1/2 * 3
= 1/2 + 1/2
= 1 + 1/2
= 1 1/2
Step 3: now add 3 + 1 1/2
=4 1/2
So the answer is 4 1/2
30. One segment of the Mayan civilization started in 300 B.C.E. and ended in 250 C.E. How long did that segment of the Mayan civilization last?
A. 50 years
B. 300 years
C. 250 years
D. 550 years
Answer:
D. 550 years
Step-by-step explanation:
Firstly, you need to understand the meaning of B.C.E. and C.E. B.C.E. means "Before common era", where "common era" is the year where Jesus Christ was born (I will just call it "The Year" since the name is so long). The date has been used as a dating system for many years.
In this case, 300 B.C.E. means 300 years before "The Year" whereas 250 C.E. means 250 years after "The Year". Thus, the total would be:
300 + 250 = 550 years
Name:
UNIT 1. UNIT ASSESSMENT
FORM A continued
10 A circular coaster has a diameter of 5 inches. What is its area? Write your answer using 2. Show
your work.
SOLUTION
Answer:
I suggest that you use Socratic to solve this. It answers almost every question.
Step-by-step explanation:
Help. Will give brainliest :)
Jill has a photograph that is 4 inches wide by 6 inches high. If she enlarges it so that the width is 12
inches, what will be the height?
Answer:
18 inches!
Step-by-step explanation:
Since you are multiplying the original size by 3 times (4 in. originally • 3 = 12 inches) you just multiple the original height by 3 (6•3=18)
hope this helped!
Which ones have a relationship with functions
Answer:
b. Yes
c. No
d. No
e. Yes
Step-by-step explanation:
hope this helped
Answer:
b no
c no
d yes
e yes
Step-by-step explanation:
there can not be 2 of the same x's but there can be 2 of the same y's
(MARKING BRAINLIEST)Which of these is the most helpful first step for solving Frank's equation, 2x+28=40?
A. Multiply both sides by 2
B. Subtract 28 from both sides
C. Divide both sides by 2
D. add 28 to both sides
What is the x intercept
Answer:
The x intercept is 3
Step-by-step explanation:
Because that is where it hits the x axis
Please help me out!!
Answer: C or B
Step-by-step explanation:
Answer:
its the first answer
Step-by-step explanation:
what is the slope of the line passing through the points (4,3) and (1,-2
Answer:
8/5
Step-by-step explanation: