W'X' is the dilated image, which is smaller than the original, so the scale factor would be less than 1.
Set up a ratio of the dilated figure to the original:
15/18 divide this by 3 to get 5/6
The answer is 3) 5/6
Find the area of the figure
147 square meters.
We can break it up into two rectangles, then add the values together.
[tex]a = b \times h[/tex]
Rectangle #1 (verticle)
[tex]a = (6) \times (15 + 3)[/tex]
[tex]a = (6) \times (18)[/tex]
[tex]a = 108m^{2} [/tex]
Rectangle #2 (horizontal)
[tex]a = (13) \times (3)[/tex]
[tex]a = 39 {m}^{2} [/tex]
Add them together:
[tex]39 {m}^{2} + 108 {m}^{2} = 147 {m}^{2} [/tex]
By selling goods for $168, a profit of 12% was made by a merchant . How much did the goods cost him ?
Answer:
$147.84
Step-by-step explanation:
168 * 0.12 = 20.16
168-20.16 = 147.84
A group of 12 students is deciding whether to go to the science center or the zoo. Science center tickets are 3 for $36.75 and zoo tickets are 4 for $51.
How much will a group of 12 students save by choosing the science center?
Enter your answer in the box.
ANSWER:
$6
ExPLANATION:
Step 1:
36.75 × 4 = 147
Step 2:
51 × 3 = 153
Step 3:
153 - 147 = 6
The group of 12 students will save $6 by visiting the science center instead of the Zoo.
Science center fee :
3 tickets = $36.75 Total cost of visiting Science center = (12/3) × 36.75 = $147Zoo Fee :
4 tickets = $51Total cost of visiting Zoo = (12/4) × 51 = $153The difference in the total amount spent :
Total cost of Zoo - Total cost of Science center $153 - $147 = $6Therefore, the group will save $6 by visiting the science center.
Learn more : https://brainly.com/question/18109354
4. Over the span of a month, a school tracks student choices at lunch. They 1 point
find that 56% of all students buy milk with lunch and 32% buy a piece of
fruit. If 22% of all students buy both milk and fruit, which of the following
represents the percent of students who buy neither?
A. 0.28
B. 0.34
C. 0.42
D. 0.46
Answer:
b
Step-by-step explanation:
56 +32 =88
88 - 22 = 66 remove this who did both as to not double count
100-66=34 bought neither
Simplify the fraction -24/6 then add -2
Answer:
-6
Step-by-step explanation:
-24 divided by 6 is -4, so the fraction would be simplified to -4/1, then change to a whole number and subtract 2, which equals -6.
Kylie is shopping at the mall. She buys a pack of water balloons for $3. She also buys seven t-shirts, each marked at the same price. Kylie spends a total of $59
Identify which equation models this situation.
a.3x+7=59
b.3x+7y=59
c.3x+7x=59
d.7x+3=59
Answer:
b 3x +7y =59
Step-by-step explanation:
x is water balloons at 3 each and y is t-shirts at 7$ each.
Which expression shows the ASSOCIATIVE PROPERTY?
3 + a + b = a + 3 + b
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)
3 - a = 3 - b
Answer:
the first one
Step-by-step explanation:
What is the area of the trapezoid shown? * 4cm 10cm 10cm 8cm
Janelle graphed a line through (−6, 5) that had a slope of −7/9. What is the y-coordinate of a point on the line that has an x-coordinate of 3?
A. −3
B. −2
C. 2
D. 3
WILL GIVE BRAINLIEST AND 80 POINTS NO WRONG ASNWERS PLZ
Answer:
b is the correct answer
hope it helps you and remember me
What is pi/π used for in math
Answer:
In basic mathematics, pi is used to find the area and circumference of a circle. Pi is used to find area by multiplying the radius squared times pi. So, in trying to find the area of a circle with a radius of 3 centimeters, π32 = 28.27 cm.
Answer:
Succinctly, pi or π is the ratio of the circumference of any circle to the diameter of that circle.
Have A Nice Day!!!!!!
:))))))
Need Help running out of time: Best answer will get brainliest
In Sam's drawer, there are 17 red socks, 13 green socks, and 20 black socks. Any two socks of the same color make a pair.
* If the first sock that Sam took out was black, how many more socks must he take out from the drawer without looking to be absolutely sure to have a pair of socks (of any color)?
Answer:
19:50
Step-by-step explanation:
well when you add all the socks you have 50 socks. if the first sock that Sam took out was black the second sock would be a ratio of 19:50.
(i think)
Rafael writes an expression to represent “a number, n, decreased by thirty-one.” Then he evaluates that expression if n = 29. Which statements are true about the expression and its evaluation? Check all that apply.
The correct expression is 31 minus n.
This is a subtraction expression.
This is an addition expression.
To evaluate, substitute 29 for the variable in the expression.
To evaluate, substitute 31 for the variable in the equation.
To evaluate the expression, add 31 to 29.
The correct expression is n minus 31.
To evaluate the expression, subtract 31 from 29.
Please hurry I need this answer ASAP
Answer:
The correct alternatives
This is a subtraction expression
The correct expression is n minus 31
To evaluate the expression, subtract 31 from 29.
Step-by-step explanation:
Rafael writes an expression to represent “a number, n, decreased by thirty-one.”
First you gotta know what means "decreased by thirty-one". It means that
there exist two numbers where the difference between them is 31.
The number [tex]n[/tex] decreased by 31 can be writen as
[tex]n-31[/tex]
The expression is therefore
[tex]n-x=31 \implies \boxed{x=n-31}, n, m \in \mathbb{R}[/tex]
Rafael evaluates the expression [tex](n-31)[/tex] for [tex]n=29[/tex]
[tex]n-31 = 29-31 = -2[/tex]
Answer:
A. B. G. H
Step-by-step explanation:
Josie buys o purse that costs $64.95. If the sales tax is 5.5%, what is the cost of the tax.
Answer:
3.57
Step-by-step explanation:
64.95×5.5/100=3.57
What is the relationship between area in the scale drawing and area on the on the actual tennis court if the scale is 1in.: 5ft. and the length of the scale is 15.6 and the width is 7.2 in.
What is the ratio of areaof the actual court to the area of the drawing (as a unit rate)? Is it the same as the ratio of length of the actual court to the length of the drawing?
Given:
Length of the scale = 15.6 in.
Width of the scale = 7.2 in.
Scale of drawing = 1 in. : 5ft.
To find:
The ratio of area of the actual court to the area of the drawing (as a unit rate).
And to check whether it is the same as the ratio of length of the actual court to the length of the drawing.
Step-by-step explanation:
We have,
1 in. = 5ft.
Now, using this scale we get
15.6 in. = (15.6 × 5) ft =78 ft.
7.2 in. = (7.2 × 5) ft = 36 ft.
So, the actual length and width of tennis court are 78 ft and 36 ft respectively.
Area of actual tennis court is
[tex]Area=length\times width[/tex]
[tex]Area=78\times 36[/tex]
[tex]Area=2808\text{ ft}^2[/tex]
The area of drawing is
[tex]Area=15.6\times 7.2[/tex]
[tex]Area=112.32\text{ in.}^2[/tex]
Now, ratio of area of the actual court to the area of the drawing (as a unit rate) is
[tex]\dfrac{2808}{112.32}=\dfrac{25}{1}=25:1[/tex]
Ratio of area is 25:1 and ratio of length is 5:1 both area not same.
Therefore, the ratio of area of the actual court to the area of the drawing (as a unit rate) is 25:1.
Big help! if you could help me answer this worth 30pts
Answer:
Recipe 1 will taste different because it is a different proportion compared to recipe 2 and 3
Step-by-step explanation:
Joshua is 5 1/4 weeks younger than Armani. Sara is 11 1/2 weeks older than Joshua. To the nearest week, what is the difference in Armani's age and Sara's age?
PLEASE HELP
DUE SOON
Your class is selling boxes of flower seeds as a fundraiser. The total profit p depends on the amount x that your class charges for each box of seeds. The equation
p= -0.53 +25x - 120
models the profit of the fundraiser. What's the
smallest amount, in dollars, that you can charge and make a profit of at least $105?
Answer:
$9.03
If you want smallest amount it dollars, you have to go with $9. However, this will only give you a profit of $104.47
Step-by-step explanation:
p = -0.53 +25x - 120
105 = -0.53 +25x - 120
225.53 = 25x
x = 9.0212
Check work:
105 = -0.53 +25(9.02) - 120
105 ≠ 104.97
Since $9.02 doesn't equal $105 profit, let's add a penny to make it $9.03.
105 = -0.53 +25(9.03) - 120
105 ≠ 105.22
If you charge $9.03 for each box you will make a profit of at least $105.
Round to smallest amount in dollars:
105 = -0.53 +25(9) - 120
105 ≠ 104.47
Which is JK = C solved for K?
Answer:
k=c/j
Step-by-step explanation:
REDUCE THE FRACTION -20T5U2V3/48T7U4V
Answer:
-5V2/12T2U2
Step-by-step explanation:
i thinks this would help you to understand
Answer:
-5V2/12T2U2
Step-by-step explanation:
Find the common difference of the arithmetic sequence -19,-16,-13,...
Answer:
it goes up by 3 every time hope it helped <3
How do you solve 4x - 18 < -x -3
Answer:
x<3
Step-by-step explanation:
--add 18--
[tex]4x-18+18<-x-3+18[/tex]
--simpifly--
[tex]4x<-x+15[/tex]
--add x--
[tex]4x+x<-x+15+x[/tex]
--simpifly--
[tex]5x<15[/tex]
--divide both side by 15--
x<3
sorry for late
<3
Red
I need help with the question plzzzz
Answer:
6 and 8
Step-by-step explanation:
have a great day luv
3^10 + 3^10 + 3^10=
a)9^30
b)3^30
c)9^10
d3^11
Answer:
As a^m+a^m+a^m=a^m+m+m or (a+a+a)^m {WHEN BASES ARE SAME WE CAN ADD THE BASES TOGETHER AND PUT THE POWER (IN CASE OF ADDITION) AND WHEN POWERS ARE SAME WE CAN ADD THE POWERS AND LET THE BASE REMAIN SAME}
So,
(3+3+3)^10 and 3^10+10+10 is also true (only because both the basesa nd the powers here are the same)
So,
9^10 and 3^30
So option b and c are correct
Help please ! Which similarly postulate or theorem let’s you conclude that JLK~MNO?
Answer: SSS
Step-by-step explanation:
Add 10 8/9+ 2 2/8+ 16 2/9+ 5 7/9=
Answer:
[tex]\frac{1265}{36}[/tex]
Step-by-step explanation:
[tex]10\frac{8}{9} + 2\frac{2}{8} + 16\frac{2}{9} + 5\frac{7}{9} = \frac{1265}{36}[/tex]I hope this helps!
What is 321 divided by 49
Answer:
6.55
(6.55102040816)
Step-by-step explanation:
321 / 49 = 6.55102040816
can be rounded to 6.55 or 6.6
Answer:
6.55
Step-by-step explanation:
[ it's a fraction but i can't write it as such. ]
Solve for M.
m/5 = 4
9
20
-9
-20
Answer:
the value of m will be 20
WILL GIVE BRAINLYIST!!!
Apples are ____% of the total number of fruits.
Answer:
25%
Step-by-step explanation:
WILL MARK BRAINLIEST
The picture shows a triangular island
Which expression shows the value of c?
b/tan 45°
b/COS 45°
a cos 45º
a tan 45°
=============================================
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(45) = b/c
c*cos(45) = b
c = b/cos(45)
In the third step, I multiplied both sides by c. Afterward, I divided both sides by cos(45) to isolate c.
Answer:
ans: b/cos45
Step-by-step explanation:
as we know that cos45=b/c
then, c/b=1/cos45
therefore, c=b/cos45
Help! I’ll mark you brainly and give extra points!!
Its in the file.
Hope it helps ;)