Given:
Brianna had a garden Box that is 8' by 12'.
She decided to reduce it by a scale factor of [tex]\dfrac{1}{2}[/tex].
To find:
The area of her new garden.
Solution:
Let the length and width of the original garden are 8 ft by 12 ft respectively.
Reduce the dimensions by a scale factor of [tex]\dfrac{1}{2}[/tex].
Length of the new garden is
[tex]\dfrac{8\ ft}{2}=4\ ft[/tex]
Width of the new garden is
[tex]\dfrac{12\ ft}{2}=6\ ft[/tex]
Now, the area of the new garden is
[tex]Area=Length\times Width[/tex]
[tex]Area=(4)\times (6)[/tex]
[tex]Area=24[/tex]
Therefore, the area of the new garden is 24 sq. ft.
PLEASE HELP I WILL MARK BRAINLEIST
The scale used on a map is 5 millimeters represents 32 kilometers. How many millimeters represent 160 kilometers?
160 mm
25 mm
1 mm
800 mm
Answer:
25 mm
Step-by-step explanation:
Set up a proportion where x is the number of millimeters for 160 kilometers
[tex]\frac{5}{32}[/tex] = [tex]\frac{x}{160}[/tex]
Cross multiply and solve for x:
32x = 800
x = 25
So, 25 millimeters represent 160 kilometers
Answer:
25 mm
Step-by-step explanation:
I hope I helped :)
A radioactive substance decays at a rate of 3.4% per day. If it starts at 200 grams, how
many days will it take for the substance to decay to less than 150 grams?
Answer: 9
Step-by-step explanation:
Since the percent is decaying, you subtract 3.4 from 100, which gets you 96.6
200(0.966)^9 gets you 146.5 which is less than 150
Choose the explanation that shows why ΔADE is similar to ΔABC.
A. A dilation with center (0, 0) and scale factor 1/2 maps ΔABC to ΔADE.
B. A dilation with center (0, 0) and scale factor 2 maps ΔABC to ΔADE.
C. A translation 4 units right and 4 units up maps ΔABC to ΔADE.
D. A rotation 90° about the origin and a translation 2 units up maps ΔABC to ΔADE.
Can someone answer this ASAP PLEASE!
how to find constant of proportionality
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Solve the inequality: l 2x + 5 l > 15
Amy’s pets groundhog ate 32 lbs. of the food this month. Last month, it only ate half that much. How much did it eat last month?
Answer:
The answer is 16 because half of 32 is 16.
Step-by-step explanation:
16+16=32
32-16=16
Answer:
Step-by-step explanation:
(Half)= 2
Divide 32 by 2
32÷2= 16
Amy's pet groudhog only ate 16 Ibs last month.
HALLPPPPP!!
Find k if the line y = kx+5 passes through the point (-6,14)
Answer:
Step-by-step explanation:
14=k(-6)+5
-6k=9
k=-1.5
Express as a trinomial.
(2x+4)(x-1)
Answer:
2x^2+6x+4
Step-by-step explanation:
2x^2+2x+4x+4
2x^2+6x+4
Last week a gumball machine dispensed 12 purple gumballs and 48 other gumballs. What is
the experimental probability that the next gumball dispensed will be purple?
Simplify your answer and write it as a fraction or whole number
P(purple) =
Answer:
1/5
Step-by-step explanation:
12/60=1/5
Michael buys some items at a grocery store.
Answer:
B
Step-by-step explanation:
It's b my correct answer is b
Find the slope of 8y-2x=10
Answer:
1/4
Step-by-step explanation:
8y=+2x+10
Divide by 8
y=2/8x+10
Y=1/4x+10
y=mx+b
M= slope
Shen has to carry 316 apples from a farm to the market. How many baskets will he need, given that each basket can hold 43 apples?
Answer:
he will need 8 baskets or 7.3
what is 29( 86 + 34)
Hey there!
The answer to your question is 3480
There are two ways we can do this. I will show you both, so you know how to do it in the future:
The First Way ~ Parantheses First:
Step 1.) Add [tex]86[/tex] and [tex]34[/tex]
[tex]29(120)[/tex]
Step 2.) Multiply
[tex]3480[/tex]
The Second Way ~ Distribute First
Step 1.) Multiply [tex]29[/tex] and [tex]86[/tex]
[tex]29(34)+2494[/tex]
Step 2.) Multiply [tex]29[/tex] and [tex]34[/tex]
[tex]986+2494[/tex]
Step 3.) Add [tex]986[/tex] and [tex]2494[/tex]
[tex]3480[/tex]
Have a terrificly amazing day!
Mike is about 1.6 meters tall. A rock is about 2.3 x 10-² meters tall.
About how many times shorter is the rock compared to Mike?
A.1,400
B.700
C.140
D.70
Answer:
The answer to the equation should be C
Need help I’m very confused
Simplify the inequality:
-12.4x+8x > -0.4x-5.2-2.7
Answer:
x < 1.975Explanation:
-12.4x + 8x > -0.4x - 5.2 - 2.7
Add similar elements: -12.4x + 8x = -4.4x
-4.4x > -0.4x - 5.2 - 2.7
Subtract -5.2 - 2.7: -7.9
-4.4x > -0.4x - 7.9
Multiply both sides by 10
-4.4x · 10 > -0.4x - 7.9 · 10
Refine
-44x > -4x - 79
Add 4x to both sides
-44x + 4x > -4x - 79 + 4x
Simplify
-40x > -79
Multiply both sides by -1 (Reverse the inequality)
-40x (-1) > -79 (-1)
Simplify
40x < 79
Divide both sides by 40
40x / 40 < 79 / 40
Simplify
x < ⁷⁹⁄₄₀
Turn the fraction into a decimal
x < 1.975What is the quotient?
36-6
O -30
O-6
O 6
O 30
Helpppp me please
Answer:
30
Step-by-step explanation:
36-6=30 I don't know if that was the answer you were looking for
EACH BULK BLUEBONNET SEED BAGS CONTAINS 2 / 3 OF A POUND OF SEEDS. THE CENTER WILL BUY 14 BLUEBONNET SEED BAGS. EACH BULK ROCKROSE SEED BAG CONTAINS 5/6 OF A POUND OF SEEDS. THE CENTER WILL BUY 7 ROCKROSE SEED BAGS. ESTIMATE HOW MANY POUNDS OF SEED THE WILDFLOWER CENTER WILL PURCHASE?
Answer:
The distance from the ladder to the end of the side is 5 ft. The distance from the top of the ladder to the bottom is 13 ft long! HOW TALL IS IT? WILL MARK BRAINLIEST
graph the line with the slope 3 passing through the point (2,-1)
Answer:
I can't draw at the moment but I'll try to teach how as best as I could.
Draw the Cartesian plane (x and y-axis)Locate the point (2, -1). To do this, go to x=2 then go down by 1 unit. Plot it or mark this point by a dot.Then from this dot, go 3 units to the right. After that, go up by 1 unit and mark that with a dot. By this time, you now have 2 dots.Connect them and that's it.Find QUS, given the following sets:
P = {b, d, f, g}
Q = {a, b, c, d]
R = {c, e, f, g}
S = {a, d, g}
Answer:
Q=(a,b,c,d)
S=(a,d,g)
QUS=(a,b,c,d,g) Union of set means all the elements in both set.
At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla?
Answer:
At lunch, Marc bought 2 quesadillas and 2 tacos for $10.16, and Jason paid $11.84 for 5 tacos and 1 quesadilla. What was the cost of each taco and quesadilla?
I want to know only this question because I am not also so so I tell me
The TV you bought was $900 and the sales tax was 10%, what was the total cost of the TV.
find the unit rate
1/5 kilograms: 3/5 foot
Answer:
0.333333
Step-by-step explanation:
none
9/2x -6y = 12
3x - 4y = 8
Answer:
x-intercept [tex]\frac{8}{3} ,0[/tex] and y-intercept [tex]0,-2[/tex]
Step-by-step explanation:
I don't know if this is exactly what you were looking for if it's not I'm sorry if so hope this helps have a good rest of your day :) ❤
Use the slope formula to determine the slope of the line containing the two points.
(-1, -7) and (-6, -3)
A. 10/7
B. -4/5
C. -1/2
D. -5/4
Si Mark ay nakagawa ng 84 na pirasong cookies. Kung ang mga ito ay kaniyang isisilid sa 7 maliliit na kahon. Ilang
pirasong cookies ang laman ng isang maliit na kahon?
1. lláng cookies ang nagawa ni Mark?
2. Ilang maliliit na kahon ang lalagyan ni Mark?
3. Isulat ang division equation:
4. Isulat ang multiplication sentence.
5. Ilang pirasong cookies ang laman ng isang maliit na kahon?
A grocery store sells fruit snacks that come packaged in two different sizes. The small box has 8 snacks for $2.48, and the large box has 12 snacks for $3.48. The unit rate (in dollars per snack) of the larger box IS HOW MUCH CHEAPER than that of the small box?
Answer:
2
Step-by-step explanation:
2.48 divided by 8 is .31 and 3.48 divided by 12 is .29 so 2
Which has the same value 75%
Answer:
75/100
Step-by-step explanation:
Does this expression represent the sum 13.76 + 2.8?
sixteen and fifth-six hundredths
Answer:
Yes true
Step-by-step explanation:
the numbered add up