Answer:
Her door should be 3cm on scale
The actual dimension of the kitchen table is
[tex]Length = 1.6m[/tex]
[tex]Width = 1m[/tex]
Step-by-step explanation:
Given
[tex]Scale= 1 : 40[/tex]
[tex]Kitchen\ Dimension= 6m\ by\ 2m[/tex]
[tex]Door\ Width = 1.2m[/tex]
Solving (a): The width of the door on the scale
Represent the scale width with x
So, we have:
[tex]1 : 40[/tex]
and
[tex]x : 1.2[/tex]
Equate both ratios
[tex]1 : 40 = x : 1.2[/tex]
Represent as fraction
[tex]\frac{1}{40} = \frac{x}{1.2}[/tex]
Solve for x
[tex]x = \frac{1.2}{40}[/tex]
[tex]x = 0.03m[/tex]
[tex]x = 3cm[/tex]
Hence, her door should be 3cm on scale
Solving (b): Actual Dimension of the kitchen table
To solve this, we simply multiply the scale dimensions by 40
[tex]Length = 4cm * 40[/tex]
[tex]Length = 160cm[/tex]
[tex]Length = 1.6m[/tex]
[tex]Width = 2.5cm * 40[/tex]
[tex]Width = 100cm[/tex]
[tex]Width = 1m[/tex]
Hence:
The actual dimension is
[tex]Length = 1.6m[/tex]
[tex]Width = 1m[/tex]
Algebra 1- 10 pts
Solve for t.
−4t≤48
Enter your answer as an inequality
One-half of a roll of wallpaper covers 1/10th of a wall. How many rolls of wallpaper are needed to cover half the wall? (a) 2/10 (b) 2 1/12 (c) 5 (d) 10
Answer:
2 1/2 rolls
Step-by-step explanation:
rolls : walls = (1/2) : (1/10) = ? : (1/2) = 5/2 : 1/2 (multiply by 5, since 1/2 = 5/10)
It takes 5/2 rolls = 2 1/2 rolls to cover half the wall.
Answer:
[tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall
The correct option is (b) 2 1/2
Step-by-step explanation:
To determine the number of rolls of wallpaper that are needed to cover half (1/2) the wall,
From the question,
One-half of a roll of wallpaper covers 1/10th of a wall.
Hence, we are to determine the number of rolls of wallpaper that are needed to cover 5/10th of the wall. (NOTE: 5/10th of the wall = 1/2 the wall)
Now,
First, we will find the part of the wall that will be covered by one roll of the wallpaper
If one-half of the roll of wallpaper covers 1/10th of the wall.
Then, one roll (two halves) will cover 2 × 1/10th of the wall
= 1/5th of the wall
Hence one roll will cover 1/5th of the wall
Now, for the number of rolls that will cover half (1/2) the wall
If one roll of the wallpaper covers 1/5th of the wall
Then, [tex]x[/tex] rolls of the wallpaper will cover 1/2 of the wall
[tex]x =\frac{1/2 \times 1}{1/5}[/tex]
[tex]x =\frac{5}{2}[/tex]
[tex]x =2\frac{1}{2}[/tex]
Hence, [tex]2\frac{1}{2}[/tex] rolls of the wallpaper will cover half the wall
It cost Jocelyn $5.60 to send 56 text messages. How much would it cost to send 198
*text messages?
Answer:
$19.8
Step-by-step explanation:
To find the answer, find the ratio.
Answer: 1980
Step-by-step explanation:
Set yp a proportion
5.60dollars=56texts
---------------- ----------
198dollars= x
Then you cross multiply the 198 with the 56
then you divide the 5.60
Which of these is a unit rate? A $25 per 5 hours B 10 kilometers per minute C 35 miles per 4 gallons D 75 yards per 25 dollars
Answer:
B. 10 km. per minute
Step-by-step explanation:
A unit rate is a ratio that is over 1. 10 km. per minute is describing how many km. in one minute. A unit rate can then be used to predict ratios further in a sequence by multiplying the minutes with the 10 km.
Hope that helps!
Answer:
b
Step-by-step explanation:
Write the equation of the circle centered at ( 4 , − 5 ) with radius 18.
Answer:
(x-4)^2 + (y+5)^2 = 324
Step-by-step explanation:
The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.
Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:
(x-4)^2 + (y+5)^2 = 18^2
(x-4)^2 + (y+5)^2 = 324
Use the Distributive Property to simplify 8(y+3)
[tex]8y+24[/tex]. you multiply all of the values in the parentesys.
Answer:
[tex]\huge\boxed{\sf{8y+24}}[/tex]
Step-by-step explanation:
Hello.
Let's recall that the Distributive Property states that
a(b+c)=ab+acUsing the formula, let's simplify:
8(y+3)
Multiply 8 times y and 8 times 3 and add the products:
8y
24
Add:
8y+24
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
4 b + 19 can be translated as "nineteen more than the product of 4 and a number." TrueFalse
Answer:
True
Step-by-step explanation:
Step-by-step explanation:
4b+19
If 19 is added to 4b, then yes, it is 'nineteen more than...'
4b is a multiplication expression in itself and the term 'product' means the answer to a multiplication problem.
So the answer is true.
hope it helps!
Kyle wants to find out how many textbooks his class has in total. He has discovered
that each student has an average of 5 textbooks. There are 30 people in his class. How many
textbooks does his class have in total?
what number is 100 times greater than 20?
Answer:
2000
Step-by-step explanation:
just muliply
I’ll mark you brainliest for the first response! Explain answer in full detail.
Answer:
x = 25
Step-by-step explanation:
2x + 4 + x + 11 = 90, combine like terms
3x + 15 = 90, subtract 15 from both sides
3x = 75, divide by 3
x = 25, you have your answer!
22. y =x-v over b solve for x
Answer:
See Below
Step-by-step explanation:
y = [tex]\frac{x-v}{b}[/tex]
Isolate x
First step, multiply both sides by b to get rid of fraction
y(b) = x - v
+v +v
y(b) +v = x
Hope this helps!=)
MARK BRAINLIEST
The left and right page numbers of an open book are two consecutive integers whose sum is 473. Find these page numbers.
The two page numbers are ______
(Use a comma to separate
answers as needed.)
PLEASE HELP MARK BRAINLIEST
Answer:
263,267
Step-by-step explanation:
473/2 is 263.5 and so just add .5 to one and subtract .5 from the other
-2.1-[2.3-(3.5-(1.9))]
WITH AN EXPLANATION PLEASE
I WILL GIVE BRANLIEST TO FIRST CORRECT ANSWER
Answer:
-2.1
Step-by-step explanation:
My brother ate 4 of the cupcakes my mother just finished baking for her back sale. That was 2/5 of all of them! With how many cupcakes did she start with?
Answer:
10
Step-by-step explanation:
if 4 cupcakes were 2/5 of what she started out with, i divided 4/2 and got 2 so 2 cupcakes per 1/5, 2*5=10 so 5/5 is the 10 cupcakes
If x is not equal to zero, what is the value? show step by step.
Answer:
2/3
Step-by-step explanation:
Simplify the numerator
(2x) ^3 = 8 x^3
8x^3 * 3x = 24 x^4
Simplify the denominator
(6x^2) ^2 = 36 x^4
Simplify the fraction
24x^4/ 36 x^4 =
24/36 = 2/3
x^4/x^4 =1
The fraction is 2/3 when x does not equal 0
Which choice could you use to find the distance D between the points shown on the number line
Answer:
d = |145 − (−235)|
Step-by-step explanation:
what is the y-intercept of the table shown?
Answer:
the answer is (0,-2) trust bro I did the work
the time is 10 ; 34 what time will it be in 285 minutes
(5,0) is a solution to the equation y = 5x + 5 Question 11 options: True False
Answer:
False
Step-by-step explanation:
y=5x + 5
0=5 (5)+5
0=10+5
0≠15
False
I need the answer to this question and it’s timed
Answer:
Ramesh is not correct; 7^-5 is 1/ 16807
Step-by-step explanation:
Solve for x in simplest form. 9=1/4 (6x+12)
Answer:
x=4
Step-by-step explanation:
9=1/4 (6x+12)
Multiply each side by 4
4*9 =4*1/4 (6x+12)
36 = (6x+12)
Subtract 12 from each side
36-12 = 6x+12-12
24 = 6x
Divide each side by 6
24/6 = 6x/6
4 =x
PLEASE HELP ME, and explain it please please please <3
Which problem can be represented by the equation 12z + 2 = 98?
Each train car holds 12 tons of ore. A production facility currently has 98 tons of ore. The production facility needs a total of 2 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?
Each train car holds 12 tons of ore. A production facility currently has 2 tons of ore. The production facility needs a total of 98 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?
Each train car holds 98 tons of ore. A production facility currently has 12 tons of ore. The production facility needs a total of 2 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?
Each train car holds 98 tons of ore. A production facility currently has 2 tons of ore. The production facility needs a total of 12 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?
Answer:
Its A i took the test while looking at this but no one awnsers so i took a leap and got the right answer here ya go buddy sorry if its not the same anwser for you
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
What is the first step in solving the inequality StartFraction m minus 2 Over 6 EndFraction < –1? A.Multiply both sides by 6. B.Add 2 to both sides. C.Change the direction of the inequality. D.Change the inequality to ≤.
Answer:
Multiple both sides by 6
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
What is the first step in solving the inequality StartFraction m minus 2 Over 6 EndFraction < –1?
(A is the correct answer) Multiply both sides by 6.
B: Add 2 to both sides.
C: Change the direction of the inequality.
D; Change the inequality to ≤.
What is the sum of -5 and -5?
0.5s +1=7 + 4.5s
S =
Answer:
[tex]s = -\frac{3}{2}[/tex]
Step-by-step explanation:
Solve for the value of [tex]s[/tex] :
[tex]0.5s + 1 = 7 + 4.5s[/tex]
-Combine both [tex]0.5s[/tex] and [tex]4.5s[/tex] by subtracting [tex]0.5s[/tex] by [tex]4.5s[/tex] :
[tex]0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s[/tex]
[tex]-4s + 1 = 7[/tex]
-Subtract [tex]1[/tex] to both sides:
[tex]-4s + 1 - 1 = 7 - 1[/tex]
[tex]-4s = 6[/tex]
-Divide both sides by [tex]-4[/tex] :
[tex]\frac{-4s}{-4} = \frac{6}{-4}[/tex]
[tex]s = -\frac{3}{2}[/tex]
So, the value of [tex]s[/tex] is [tex]-\frac{3}{2}[/tex].
I NEED ANSWER ASAP I WILL GIVE BRAINLIEST IF RIGHT
Question 9
3 pts
2
1
3
4
If m_1 equals (4x + 2) and m-3 equals (5x - 15), what is the value of x?
16
0 14
15
17
QUESTION 8 A motorboat leaves a harbor and travels at an average speed of 6 mph towards a small island. Two hours later, a cabin cruiser leaves the same harbor at an average speed of 12 mph toward the same island In how many hours after the cabin cruiser leaves the harbor will it be alongside the motorboat?
Answer:
2 hours
Step-by-step explanation:
Distance = rate × time
That is,
d=rt
Let
t = time (hours) cabin cruiser traveled
t + 2 = time (hours) motorboat traveled
motorboat = 6 mph
Cabin cruiser =12 mph
Motorboat distance
d=rt
d = 6(t + 2)
Cabin cruiser distance
d=rt
d = 12(t)
Equates the two distance
6(t + 2) = 12t
Open bracket
6t + 12 = 12t
12 = 12t - 6t
12 = 6t
Divide both sides by 6
t = 12 / 6
= 2
t = 2 hours
The cabin cruiser will be alongside the motorboat in 2 hours
Using your equation if the number of square feet is 2400, what is the price of the house? If algebraic work is not shown, describe how you found your answer. How well does this fit with the actual data?
Answer:
Step-by-step explanation:
Need help. Not understanding
Consider the triangle shown in the diagram
8
60°
75°
Choose 2 reasons why x = 135°
a. The two remote interior angles add up to 135º.
b.
triangle is 180°. Xº = 135° because it is
supplementary to
c.
Therefore x°= 135º.
d. x° and
Answer:
the 2 are letters a and b