Answer:
All we need to do here, is to find the total surface area.
In this case, we have:
2(18x12 + 18x4 + 12x4) which is equal to 672
Let me know if this helps!
Which of the following are solutions to the equation below?
Check all that apply.
x^2 + 4x-9 = 5x + 3
Answer:
Answer:
x=−3 & x=4
Step-by-step explanation:
Step 1: Subtract 5x+3 from both sides.
x2+4x−9−(5x+3)=5x+3−(5x+3)
x2−x−12=0
Step 2: Factor left side of equation.
(x+3)(x−4)=0
Step 3: Set factors equal to 0.
x+3=0 or x−4=0
x=−3 or x=4
Answer:
x=4 x=-3
Step-by-step explanation:
x^2 + 4x-9 = 5x + 3
Subtract 5x from each side
x^2 + 4x-5x-9 = 5x -5x+ 3
x^2 +-x-9 = 3
Subtract 3 from each side
x^2 -x-9-3 = 3-3
x^2 -x -12 =0
Factor
What 2 numbers multiply to -12 and add to -4
-4*3 = -12
-4+3 =-1
(x-4)(x+3) =0
Using the zero product property
x-4 =0 x+3 =0
x=4 x=-3
Chamblee High School is selling Valentine's Day gifts as a fundraising event. One long stemmed rose costs $3.00 while one long stemmed carnation costs $1.50. If 50 orders
were placed and they totaled $195, how many roses and carnations were ordered?
100 roses and 100 carnations
60 roses and 10 carnations
125 roses and 75 carnations
50 roses and 145 carnations
Answer: Choice B) 60 roses and 10 carnations
============================================================
Explanation:
r = number of rosesc = number of carnationsr and c are positive whole numbers.
r+c = total number of flowers = 50, since 50 orders are made.
The first equation to set up is r+c = 50.
This equation can be solved to get r = 50-c.
------------------
3r = cost of all the roses only, in dollars
1.5c = cost of all the carnations only, in dollars
3r+1.5c = total cost of all the flowers = 195 dollars
3r+1.5c = 195
------------------
Let's apply substitution to solve
3r+1.5c = 195
3(50-c)+1.5c = 195
150-3c+1.5c = 195
-1.5c+150 = 195
-1.5c = 195-150
-1.5c = 45
c = 45/(-1.5)
c = -30
That's not good. We shouldn't get a negative value.
It turns out that the condition r+c = 50 should be ignored. Notice how none of the answer choices listed have r+c leading to 50.
So we'll only focus on the equation 3r+1.5c = 195
-----------------
If we plugged in r = 100 and c = 100, then we get
3r+1.5c = 195
3(100)+1.5(100) = 195
300+150 = 195
450 = 195
Which is false. So we can rule out choice A
Let's repeat those steps for choice B
3r+1.5c = 195
3(60)+1.5(10) = 195
180 + 15 = 195
195 = 195
So that works out. I have a feeling your teacher meant to say "70 orders" instead of "50 orders". If so, then the equation r+c = 50 would be r+c = 70 and everything would lead to choice B as the final answer.
Choices C and D are similar to that of choice A, so they can be ruled out.
Need help please!
(5^3)^6
Answer:
[tex]5^{18}[/tex]=3,814,697,265,625
Step-by-step explanation:
Multiply the exponents
3×6=18
[tex]5^{18}[/tex]
Answer:
Simplest value of given expression = 5¹⁸
Step-by-step explanation:
Given algebraic equation;
[5³]⁶
Find:
Simplest value of given expression
Computation:
Given fraction [5³]⁶
Using Property of exponents
[Xᵃ]ᵇ = X ᵃ ˣ ᵇ
So,
Using Property of exponents
⇒ [5³]⁶
⇒ 5 ³ ˣ ⁶
⇒ 5¹⁸
Simplest value of given expression = 5¹⁸
A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 36m2. He knows that the base must be 1 less than 2 times the height. Find the equation that correctly shows the area of the triangle.
A. x(2x - 1) = 36
B. 1/2x(2x - 1) = 36
C. 1/2x(2x - 1) = 18
D. x(2x - 1) = 18
Answer:
Equation for area = 36 = [1/2]x[2x - 1]
Step-by-step explanation:
Given:
Area of triangle = 36 m²
Length of base = 2(Height) - 1
Find:
Equation for area
Computation:
Assume;
Height = x
Area of triangle = (1/2)(b)(h)
36 = (1/2)[2(x) - 1][x]
36 = [1/2]x[2x - 1]
Equation for area = 36 = [1/2]x[2x - 1]
For which interval is the average rate of change of f(x) negative?
How many solutions does 8x=−9+7x have?
Answer:
The equation has only one solution, x = -9
Step-by-step explanation:
We want to find how many solutions the equation:
8x = -9 + 7x
has.
To find it, let's simplify the equation.
First, let's move all the terms with x to the left side, and the terms without x to the right side:
8x - 7x = -9
(8 - 7)*x = -9
1*x = -9
x = -9
So we can see that we have only one solution, x = -9
rearrange the formula to make n the subject =
1) 4n-3a=2n+2a
2) n^2=7c(a+2b)
3) tn^2=4w
4) a=2nw
Hello
1) 4n-3a=2n+2a
4n-2n = 2a+3a
2n= 5a
n = 5a/2
2) n²=7c(a+2b)
n² = 7ac + 14bc
n = √(7ac + 14bc)
3) tn²=4w
n² = (4w)/t
n= √ [(4w)/t]
4) a=2nw
2nw= a
2n = a /w
n = (a/w)/2
H I wanted to ask if that in high school math is harder than middle school?
Answer:
Yes, it is harder.
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
A fair spinner is divided into 3 equal sections : red blue and green, it is spun 5 times what is the probability of getting red twice
Answer:
80/243
or
.329218107
Step-by-step explanation:
This is a binomial distribtuion
THe probability of red= 1/3
the probability of not red= 2/3
Probability of getting exactly 2 reds in 5 spins
[tex]{5\choose2}*\frac{1}{3}^2*\frac{2}{3}^3=.329218107[/tex]
or
80/243
3 to the power 10=
Pls answer fast
The answer is 59049.
Kuaaahahahahahahahah!
Two numbers are in the ratio 2:3 and their sum id 45 then find both number
Answer:
Step-by-step explanation:
Let the two numbers be 2x and 3x.
According to the question,
2x+3x=45
5x=45
x=45/5
x=9
so th required numbers are 18 and 27 as
2x=2*9=18
3x=3*9=27
It is given that,
→ Two numbers are in the ratio 2:3.
→ Their sum is 45.
We have to,
find the both required numbers.
Now assume numbers as,
→ 2y and 3y
As per the given information,
→ 2y + 3y = 45
First we can find the value of y,
→ 2y + 3y = 45
→ 5y = 45
→ y = 45/5
→ [y = 9]
The given ratio is,
→ 2 : 3
Let's find the value of 2y,
→ 2y --- {y = 9}
→ 2 × (9)
→ 18
Let's find the value of 3y,
→ 3y --- {y = 9}
→ 3 × (9)
→ 27
Hence, the number is 18 and 27.
Sam bought an electric iron as a price of 25 less than the original price if the original price of it is $2500 at what price did Sam buy the electric iron
Answer:
$2475 or $1875
Step-by-step explanation:
Assuming the question meant to say $25 less than the original price, it would be $2475 because $2500-$25= $2475
However, if the question meant to say that Sam bought the iron for 25% less than the original price, it would be $1875 because 2500*0.25= $625
$2500-$625= $1875
What slope would make the lines
parallel?
Answer:
answer = 3
Step-by-step explanation:
same slope and different y-intercept would make the two lines parallel. hope this helps <3
Answer:
When two lines are parallel they have an equal slope.
[tex]y=\frac{1}{3} x-3[/tex]OAmalOHopeO
For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and
determine the y-intercept. Decide which table best illustrates these values for the equation:
f(x) = 9x^2 + 5x + 3
Answer:
Table (C)
Step-by-step explanation:
Given equation of the parabola is,
f(x) = 9x² + 5x + 3
By comparing this equation with,
f(x) = ax² + bx + c
a = 9, b = 5 and c = 3
Since, leading coefficient (a) of the function is positive,
Parabola will open upwards.
For y-intercept,
Substitute x = 0 in the equation,
f(0) = 9(0)² + 5(0) + 3
f(0) = 3
Therefore, y-intercept is (0, 3).
Table (C) is the answer.
Anyone knows the answer?
Answer:
D) (2,-1)
Step-by-step explanation:
These are two concentric circles of radius 3 and 4 at the origin. That means that any point within the inner is also within the outer. So focusing on the inner, the points plugged into its equation must be less than or equal to the radius squared or 9. That is only valid with point D.
What values complete the table if y = x√3
x
3
?
Answer:
O . A) -3, 0 , 3
Step-by-step explanation:
Since y is equal to
[tex] \sqrt[3]{x} [/tex]
Just replace X with the values in the first box
(x-1)(x-2)(x-3)(x-4)(x-5)=0
Answer:
x=1, x=2, x=3, x=4, x=5
Step-by-step explanation:
set each expression in the parenthesis equal to 0 to solve for the roots
which of the following choices evaluates 2f^2 + (h-g)^3 when f=2, g=3, and h=4
a: 11
b: 3
c: 9
Solve system by elimination -9x - y =-19
5x + y = 15
Answer:
(1, 10 )
Step-by-step explanation:
Given the 2 equations
- 9x - y = - 19 → (1)
5x + y = 15 → (2)
Adding the 2 equations term by term will eliminate the y- term
- 4x + 0 = - 4
- 4x = - 4 ( divide both sides by - 4 )
x = 1
Substitute x = 1 into either of the 2 equations and solve for y
Substituting into (2)
5(1) + y = 15
5 + y = 15 ( subtract 5 from both sides )
y = 10
solution is (1, 10 )
Plz help thank you so much
Answer:
Step-by-step explanation:
A solution is usually thought of as the intersect points of the graph with the x axis. So you have to make a guess here. I don't think you can get an exact answer.
The left solution looks like it is about 2/3 the way to three, so that would make the answer about - 2.67
The right solution looks about the same: 2/3 the way to 3 os the answer there would be 2.67
Can someone help me with this task please? !!
Answer:
69
Step-by-step explanation:
Answer:
1: (B)
2: (C)
3: (D)
4: (D)
5: (A)
Step-by-step explanation:
Question 1:
Answer choice B is the only set of ordered pairs where there is only possible ouput for each input.
Question 2:
The y-intercept represented on the graph is (0, -3) and only answer choice C & D have it. Next, we're going to find the slope by using the rise/run method. From point (0, -3) to point (2, 0), it rises 3 and runs 2, so the slope is 3/2. Answer choice C is the only one with a y-intercept of -3 and a slope of 3/2.
Question 3:
From point (0, 0) to point (1, 3), it rises 3 and runs 1, so the slope is 3/1 or 3.
Question 4:
It is nonlinear because linear functions increase/decrease at the same rate. In the question, it says that the function decreases quickly at first, but then decreases more slowly as time passes. This function is not decreasing at the same rate the entire time.
Question 5:
The $5 fee is the initial fee, or the y-intercept, and the $2.25 per pound is the rate, or slope, so answer choice A is correct.
Hope this helps (●'◡'●)
Describe how the rate of change and initial value of the linear function are represented in the graph of the function
Answer:
c on edge
Step-by-step explanation:
A game increased in price by 12. After the increase it was priced at £27. What was the original price of the game?
Answer:
15
Step-by-step explanation:
Answer:
13.5
Step-by-step explanation:
you divide 27 by 2 and get 13.5
Which equation justifies why ten to the one third power equals the cube root of ten?
Answer:
Step-by-step explanation:
AC and D are all wrong. The all add or subtract something from 3 which is not going to keep the two sides of the equation equal.
Only B is correct. To get the two sides equal, you need to multiply the powers by the same constant. B does this. The powers and the constant 1/3 * 3 are the same on both sides.
Find the cost of 5¾ m of cloth at rupees 42½ per metere
Length of cloth = 5³/4 m -> 23/4 m -> 5.75 m
Cost of cloth per m = ₹42¹/2 -> ₹42.5
Therefore, Cost of 5.75 m = 5.75 × ₹ 42.5 = ₹244.375
Answer = 5.75(5³/4) metres of cloth costs ₹ 244.375
Answer:
Answer given below
Step-by-step explanation:
[tex]5\frac{3}{4}[/tex] m = 5*4 + 3 / 4
= 23/4 m
[tex]42\frac{1}{2}[/tex] rupees = 42*2 + 1 / 2
= 85/2 rupees
cost of 1 meter cloth = 85/2
cost of 23/4 meter cloth = 85/2 * 23/4
= rupees 1955/8
= [tex]244 \frac{3}{8}[/tex] rupees
Father bought x sweets.(x-4) were eaten by the children and 20 were left. How many sweets did thier father bought?
Answer:
24
Step-by-step explanation:
x = total sweets bought
total sweet eaten = x - 4
sweets left = 20
x - 4 = 20
combine like terms
x = 20 + 4
x = 24
A tourist has TT $7875. She spends TT $2310 and changed the remaining Trinidad and Tobago currency to Canadian currency. Calculate the amount of money she received if the rate is CAN $1.00 = TT $3.5 *
Answer:
CAN $1590
Step-by-step explanation:
Below is the given values:
Tourist has money = TT $7875
Spending = TT $2310
Remaining money = 7875 - 2310 = TT $5565
The Canadian currency she has = TT $5565 / TT $ 3.5
The Canadian currency she has =CAN $1590
The amount of money she will receive after converting into Canadian dollars = CAN $1590
Find all real and non-real roots of the function ƒ(x) = x2 + 49. Question 1 options: A) x = –7, 7 B) x = –7i, 7i C) x = –49i, 49i D) x = i + 7, i – 7
Answer:
B
Step-by-step explanation:
f(x) = x²+49 , rewrite the equation
x² +7² =0 , to find the roots make f(x) =0 and subtract 7² from both sides
x² = -7², square root both sides
√x² =√-7², consider √-1 =i
x= ±7i
the roots are -7i and 7i
Answer:
B
Step-by-step explanation:
To find the zeros equate f(x) to zero , that is
x² + 49 = 0 ( subtract 49 from both sides )
x² = - 49 ( take the square root of both sides )
x = ± [tex]\sqrt{-49}[/tex] = ± 7i
Solutions are x = - 7i, x = 7i
There are 52 cards in a standard deck. Thirteen of those cards are spades . The deck is shuffled and a group of 3 cards is dealt . How many different combinations of three spades are possible ?
Answer:1716
Step-by-step explanation:
13 spades is choice 1
13-1=12
12 spades are left in the draw to be taken so 13*12
12-1=11
11 spades are left so 13*12*11
Find the missing number. ( Show your work)
Problem 1.
2 ?/4 = 11/4
Problem 2.
?/10 = 4/5
Step-by-step explanation:
For problem 1,
Let the required number be x,
2 x/4 = 11/4
or, (8+x)/4 = 11/4
or, 8+x = 44/4
or, 8+x = 11
or, x = 11-8
so, x = 3
For problem 2,
Let the required number be y,
y/10 = 4/5
or, 5y = 40
or, y = 40/5
so, y = 8
