Given:
12% decrease followed by a 18% increase.
To find:
The single percentage change is equivalent to the given set of percentages.
Solution:
Let the initial value be 100.
After 12% decrease, the value is:
[tex]v_1=100-\dfrac{12}{100}\times 100[/tex]
[tex]v_1=100-12[/tex]
[tex]v_1=88[/tex]
After 18% increase, the value is:
[tex]v_2=88+\dfrac{18}{100}\times 88[/tex]
[tex]v_2=88+15.84[/tex]
[tex]v_2=103.84[/tex]
The initial value is 100 and the new value in 103.84. So, it represents increase in the value. So, increase percentage is
[tex]Increase\%=\dfrac{\text{New -Initial}}{\text{Initial}}\times 100[/tex]
[tex]Increase\%=\dfrac{103.84-100}{100}\times 100[/tex]
[tex]Increase\%=3.84[/tex]
Therefore, the value increased by 3.84%.
this performance task is really important for my grade, if you could help, i would greatly appreciate it :)
The vertices of quadrilateral WXYZ are W(-1,4); X(3,5); Y(4,1); Z(00). What kind of quadrilateral is it? Explain how you know this. Be as specific as possible.
Answer:
This quadrilateral is a SQUARE.
When we plot these points, we realize that they are equal distance apart.
So, when a quadrilateral has sides that are equal distance apart, that quadrilateral is a square.
Let me know if this helps!
What is the distance between...
-a and a?
Answer:
depends what the number is
Step-by-step explanation:
if its -7 and 7 then the distance would be 14
Sally bought 4 chocolate bars and 8 lollipops and paid $8.00. Josh bought 3 chocolate bars and 10 lollipops and paid $7.00.
What is the cost of a lollipop? Enter your answer as a decimal
Answer:
Lollipops cost $0.25
Step-by-step explanation:
4C + 8L = $8.00
3C + 10L = $7.00. We need to cancel out chocolate bars
-12C - 24L = $-24.00 Mulitply by -3
12 C + 40L = $28.00 Muliply by 4 Next simplify
16L = $4.00 Divide both sides by 16
L = $0.25
WE CAN EVEN CHECK OUR WORK
4C + 8(0.25) = $8.00
4C = $6.00
C = 1.5
3(1.5) + 10(.25) = $7.00
4.5 + 2.5 = 7
Find the distance between -6 and 8.
What is an expression that represents the distance
Answer:
14
Step-by-step explanation:
8 - |-6| = 14
|| means absolute value, or the distance the number has from 0 on the number line. ex. |-92| = 92 |8| = 8
A sandbox is 5 feet long and 5 feet wide. If you dig 1 foot deep in it. How much does it take to fill the sandbox to the nearest cubic foot?
Answer:
25 I think
Step-by-step explanation:
Jada walks up to a tank of water than can hold up to 10 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 7 gallons of water. Three minutes later, the tank contains 5 gallons of water.
a. At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.
b. How many more minutes will it take for the tank to drain completely? Explain or show your reasoning.
c. How many minutes before Jada arrived was the water tank completely full? Explain or show your reasoning.
Answer:
a. rate to empty the tank = - 2/3 gal/min
b, 7.5 min to empty the tank
c. 4.5 min.
Step-by-step explanation:
I use the formula that the work done = rate of work times the time working = W = rt
The work in this problem is emptying the tank.
a. The rate to empty the tank is -2 gal/3 min or - 2/3 gal/min
b. 5/(2/3) = 15/2 = 7.5 min to empty the tank
c. Since 3 gal. had already drained, 3/(2/3) = 9/2 = 4.5 min.
f(x) = x ^ 2 What is g(x)?
Answer:
A ; g(x) = (1/2 x)^2
Step-by-step explanation:
Here, we want to get g(x)
we have a point on the curve g(x)
The point is represented by (2,1)
What this mean here is that, when x = 2, y = 1
Looking at the first option;
Substitute 1 for y and 2 for x
1 = (1/2 * 2)^2
1 = 1
This means this is our answer
The equation for g(x) is;
g(x) = (1/2 x)^2
The price of a 9-minute phone call is $1.35. What is the price of a 16-minute phone call?
Saul makes trail mix with peanuts, raisins, and pretzels. The ratio of cups of raisins to cup of peanut is 1 to 6. The ratio of cups of pretzels to cups of raisin is 3 to 1. Decide if the statement is true or false. "Saul uses 6 times as many cups of peanuts as cups of raisin." *
1 point
True
False
Answer:
true
Step-by-step explanation:
Answer:
true
Step-by-step explanation:
Jose paid $1.12 for a dozen eggs at Target. How much would Jose have to pay for 18 eggs?
Answer:
56.16
Step-by-step explanation: All you do is just multiply
Answer:
$1.67
Step-by-step explanation:
Given it's $1.12 for 12 eggs, we divide 1.12 by 12 to see how much it cost for 1 egg
1.12/12 = 0.093
so 0.093 cents for 1 egg
0.093x18 eggs = 1.674 = $1.67
Hope this helps, have a nice day :)
A class has 30 students. 18 are boys. What is the ratio of boys to girls? (you must simplify)
Answer:
18:12
simplified 3:2
this is the answer to your problem
The ration between boys and girls are - 18:12
when simplified- 3:2
Can you guys help me. l will give you the brainliest and if you give me the correct answers. please show working.
Answer:
Step-by-step explanation:
Angles formed when we turn clockwise in the given directions,
a) N to E → 90°
b). W to NE → (90° + 45°) = 135°
c). SE to NW → 180°
d). NE to N → 360° - 45° = 315°
e). W to NE → 90° + 45° = 135°
f). S to SW → 45°
g). S to SE → 360° - 45° = 315°
h). SE to SW → 180°
i). E to SW → 90° + 45° = 135°
What is the value of m in the m + 3/4 = − 3/8
Answer:
M=-9/8
Step-by-step explanation:
-3/8-3/4=-3/8-6/8=-9/8
Answer:
m = -9/8
Step-by-step explanation:
First, let's get m by itself by subtracting 3/4 from both sides:
m = -3/8 - 3/4
The least common denonimator between our two fractions is 8, so we can turn 3/4 into the equivalent fraction 6/8 to subtract our two fractions:
m = -3/8 - 6/8 = -9/8
what is 3 1/4 + 1 3/8
Answer:
4 5/8
Step-by-step explanation:
Answer:
37 /56
Step-by-step explanation:
∠A and ∠B are vertical angles. If m∠A=(5x+5)∘and m∠B=(4x+29)∘, then find the measure of ∠A.
Answer:
∠A = 175∘
Step-by-step explanation:
∠A = ∠B
5x-5= 4x+29
x = 34
∠A= 34*5+5
∠A=170+5=175
5x+5= 4x + 29
-5
5x=4x+24
-4x -4x
x=24
m∠A=5x+5
m∠A=5(24)+5
120+5
Answer=125
Can anyone help please with 6 and 7 I’m in desperate need of can someone help please and God bless
WILL GIVE BRAINLIEST!! Brooke has an exterminator visit regularly to control an ongoing cockroach problem. It's been working, and the population has declined by 5% every year. If the population is currently 4,900 cockroaches, how many will there be in 5 years?
How many ways can you put the letters in "Utah" in order?
i need help to solve for x
Answer: 15°
Step-by-step explanation:
3x + 2y = -7
2x - 5y = 8
please help solve!! i need my work need to me shown so please help me! ❤️
Answer:
56/19
Step-by-step explanation:
I'll approach this using Substitution. Since 3X = 2Y, we know that 1.5X = 1Y. We can plug that into the first equation, which gives us...
2X + 5(1.5X) = 8
2X + 7.5X = 8
9.5X = 8
19X = 16
X = 16/19
While this is not 'pretty', it does match up with how most of the answers are written (four of the answers involve "nineteenths"). With this value of X, we can solve for Y...
3X = 2Y
3(16/19) = 2Y
48/19 = 2Y
24/19 = Y
With the value of X and the value of Y, we can answer the question that's asked:
2X + Y = ?
2(16/19) + 24/19 =
32/19 + 24/19 =
56/19
Final Answer: 56/19
Answer:
[tex]x = - 1[/tex]
[tex]y = - 2[/tex]
Step-by-step explanation:
[tex]3x + 2y = - 7[/tex]
[tex]2x - 5y = 8[/tex]
Apply elimination method. Let multiply the bottom equation by -3/2.
[tex]2 \times - \frac{3}{2} x = - 3[/tex]
[tex] - 5 \times - \frac{3}{2} = 7.5[/tex]
[tex]8 \times - \frac{3}{2} = - 12[/tex]
Substitute new equation and add it to the top equation
[tex]3x + 2y = - 7[/tex]
[tex] - 3x + 7.5y = - 12[/tex]
[tex]9.5y = - 19[/tex]
[tex]y = - 2[/tex]
Now plug -2 for y into any equation and solve for x.
[tex]3x + 2( - 2) = - 7[/tex]
[tex]3x - 4 = - 7[/tex]
[tex]3x = - 3[/tex]
[tex]x = - 1[/tex]
John called a plumber to fix a leak in his bathroom. The plumber charged $30 to come to the house and $25 an hour while fixing the leak. If the final bill
was $105. how many hours was the plumber at John's house?
Answer:
30 subtracted from 105 leaves u with 75 so divide that with 25 & he took abt 3 hrs
If the perimeter of the square below is 12x^2-8x-4, what is the area of the figure
Answer:
Step-by-step explanation:
nhd8wqypefopewhjophgo[0wyw
can u help me
the question is: find the value of x for each equation below and the numbers is
-x+3=3x-2
1.5x-3=2.25x
-1/3x+2=3x-1
Answer:
1. x=5/4
2. x=-4
3. x= 9/10
Step-by-step explanation:
Let's solve your equation step-by-step.
−x+3=3x−2
Step 1: Subtract 3x from both sides.
−x+3−3x=3x−2−3x
−4x+3=−2
Step 2: Subtract 3 from both sides.
−4x+3−3=−2−3
−4x=−5
Step 3: Divide both sides by -4.
−4x/−4 = −5/ −4
x= 5/4
Answer:
x= 5/4 (5 over 4)
Let's solve your equation step-by-step.
1.5x−3=2.25x
Step 1: Subtract 2.25x from both sides.
1.5x−3−2.25x=2.25x−2.25x
−0.75x−3=0
Step 2: Add 3 to both sides.
−0.75x−3+3=0+3
−0.75x=3
Step 3: Divide both sides by -0.75.
−0.75x/−0.75=3/−0.75
x=−4
Answer:
x=−4
Let's solve your equation step-by-step.
−1/3x+2=3x−1
Step 1: Subtract 3x from both sides.
−1/3x+2−3x=3x−1−3x
−10/3x+2=−1
Step 2: Subtract 2 from both sides.
−10/3x+2−2=−1−2
−10/3x=−3
Step 3: Multiply both sides by 3/(-10).
(3/−10)*(−10/3x)=(3/−10)*(−3)
x=9/10
Answer:
x=9/10 (9 over 10)
Hello, Earthlings! Martian here! Need help with math, I'm new to this subject! You'll get 50 (B) coins for answering!
100³ = ______
Thanks for your help! I award brainliest!!!
Answer:
answer is 10000
Step-by-step explanation:
THANK U AGAIN <33ewiudhuids
Benny bought a laptop for work. The screen measures 9 inches in height and 12 inches in width.
Find the diagonal length of the screen.
A 4.5 in
В 10 in
C 15 in
D 225 in
Answer:
Step-by-step explanation:
What is the domain of y=/x+7 +5?
x>=0
x>=7
X>=-7
all real numbers
DONE
Step-by-step explanation:
when x >0
y=/0+7 +5
y=8
(0,8)
when x>7
y= /7+7 +5
y= 9
(7,9)
when x >-7
y = /7-7 +5
y=5
(-7, 5)
Answer: c
Step-by-step explanation: the next one is b
Solve for X
Will give brainiest
Answer:
x = 6
Step-by-step explanation:
8x + 2 + 70 + 60 = 180
8x + 132 = 180
8x = 48
x = 6
write the set in builder form. A{2,4,6,8}
Answer:A=2,4,6,8
One way of writing this in set builder notation could be:
A={x|2≤x≤8|x2∈N}
Which can be interpreted as:
The set A is the set of any x such that 2≤x≤8 such that half of x is a natural number ( N ).
There are many ways of writing sets in set builder notation. Which is why it can be a little confusing to learn (the syntax) at first. Once you understand what all these new mathematical symbols mean (i.e. ∈ , | , N ), it becomes much easier to “read as a sentence”.
Here are a few more ways of writing the set A=2,4,6,8 in set builder notation:
A={x|2≤x≤8|x∈2⋅N}
A={x|(x−2)(x−4)(x−6)(x−8)=0}
A={x|x=2p|p∈{1,2,3,4}}
A={x∈N|mod(x,2)=0|x≤8}
Step-by-step explanation:
Answer: Answer:A=2,4,6,8
Step-by-step explanation:
How long is a string reaching from the top of a 12-ft pole to a point on the ground that is 11 ft from the base of the pole? I need this fast
Answer:
Step-by-step explanation:
either 1 foot or 33 ;-;
The value 5.1 feet long is a string reaching from the top of a 12-ft pole to a point on the ground that is 11 ft from the base of the pole.
What is Pythagoras theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
A string reaching from the top of a 12-ft pole to a point on the ground that is 11 ft from the base of the pole.
Let the value is C.
The Pythagoras' theorem,
C² = (11)² + (12)²
C² = 121 + 144
C² = 265
C = 5.1 feet.
Therefore, the value is 5.1 feet.
To learn more about the Pythagoras theorem;
https://brainly.com/question/343682
#SPJ2
Answer please helpppp!!!
Answer:
Answer: 4 feet long :)))
Answer: exit and see what It looks like them look it up then put quizziz them find the one you are looking for teh it will give you the creater then press perview then click show answers so you will get the answers.
Step-by-step explanation: