4. Solve each equation for x. (8 points: 2 points each)
a.) 3x-12y=27
b.) 6x-7y=-2
c.) 4x-k=17
d.) kx+c=9
Answer:
a. x = 9 + 4y
b. x = (7y-2)/6
c. x = (17 + k)/4
d. x = (9-c)/k
Step-by-step explanation:
In each of the equations, we want to make x the formula subject
a) 3x-12y = 27
3x = 27 + 12y
3x = 3(9 + 4y)
x = 9 + 4y
b) 6x-7y = -2
6x = 7y-2
x = (7y-2)/6
c) 4x - k = 17
4x = 17 + k
x = (17 + k)/4
d) kx + c = 9
kx = 9-c
x = (9-c)/k
expand and simplify
3(x-2)+2(4x-1)
Answer:
11x-8
Step-by-step explanation:
First you expand 3(x-2): 3x-6
3x-6+2(4x-1)
then expand 2(4x-1): 8r - 2
3x-6+8x-2
and then simplify 3x - 6 + 8x -2: 11x - 8
11x - 8
so the answer is 11x-8
Need Help ASAP
How many weeks will it take to save $150 if I save $2.50 per week?
Answer: 60 weeks.
Step-by-step explanation: 150 divided by 2.50 = 60
help, please I would appreciate it.
Help me with This please
Answer:
I believe it is 2787.6
Step-by-step explanation:
Math
-8+4 - 7+9 - 2+(-5)
A)-9
B)-5
C)1
D)7
Answer:
A
Step-by-step explanation:
the answer is a 100% no cap
Did you know you could rate your own questions?
whyyyyy like whattt
lol that's cool because i didn't know either
Peter leaves work and drives 10miles due south he then heads east for 11 miles to reach his home how far is Peter home from where he works round answer to nearest tenths place
Answer:
14.9 miles
Step-by-step explanation:
In the image below, the side of the triangle a, represents; "Peter leaves work and drives 10miles due south".
The side of the triangle b represents; "he then heads east for 11 miles to reach his home"
The distance between his work and home is represented by side c of the triangle.
This is a tight angle triangle, hence pythagoras theorem would be applied in solving it.
This theorem states that the square of the hypotenuse of a right angle triangle is equal to the sum of the squares of the other two sides;
This means we have;
c² = a² + b²
c² = 10² + 11²
c = √(100+121)
c = 14.87
Rounding off to the nearest tenths = 14.9
Question 8 (2 points)
What is the volume of an object with the height of 2cm, a width of 4cm, a mass of 20g, and a length of 5cm?
Answer:
Step-by-step explanation:
.d
The volume of the object is 40cm^3
Let the object in question be a box. The formula for calculating the volume of a box is expressed as:
V = lwhGiven the following paraameters:
length = 5cmwidth = 4cmHeight = 2cmGet the volume of the shape.
V = 5cm * 4cm * 2cm
V = 40cm^3
Hence the volume of the object is 40cm^3
Learn more on volumes here: https://brainly.com/question/10751127
Which of the following graphs shows the solution set for the inequality below?
Graph shows the solution set for the inequality which is the correct answer would be options (A).
What is inequality?Inequality is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is not equal.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
Given the system of inequalities as
y>2x-6 and y<2x +4
To determine the solutions, you first have to graph both of the lines in the problem.
y=2x-6 and y=2x +4. Then, to shift them to inequality, you have to shade the half-plane that they represent.
The solution is the space that they have in common. In this case, it will be on the right side of the graph.
Learn more about inequalities here:
brainly.com/question/20383699
#SPJ2
Line AB on Circle A measures 7 cm. What is Circle A's circumference?
Answer:
Step-by-step explanation:
The circumference for a circle is found in the formula
[tex]C=\pi d[/tex]
so if the diamteter is 7, then the circumference is
[tex]7\pi[/tex] or if you are told to round to the nearest hundredth or thousandth, multiply pi in as 3.1415 to get that the circumference is 21.9905 cm
Is this a function if it is please show your work and explain why.
9514 1404 393
Answer:
not a function
Step-by-step explanation:
When a left-side point originates more than 1 arrow, the relation is not a function. There are two such points here, so this relation is not a function.
Write an equation of the line that passes through the given points.
(0,0), (2,6)
Answer:
y=3x
Explanation: Since the line passes through (0,0), the y-intercept is 0. The rate of change is 3, which can be onserved if you you plot these points on a corrdinate graph. Therefore, the equation is y=3x.
The blue figure is a translation of the black image. Write a rule to describe the translation.
it has gone up 4 lines and left -2 making it go for a (4,-2)
Terence uses 1/3 pound of clay to make 5 ornaments. He uses the same amount of clay for each ornament. How much clay does Terence use for each ornament?
Which division expression represents this problem:
A - 3 / 1/5
B - 1/4 / 5
C - 5 / 1/3
D - 1/3 / 5
i will add you to brainlist if you get the answer right promise
Answer:
B
Step-by-step explanation:
Which expression is equivalent i^233? On edge
Answer:
C
Step-by-step explanation:
Remember the four basic power of i:
[tex]\begin{aligned}i^1&=i\\i^2&=-1\\i^3&=-i\\i^4&=1\end{aligned}[/tex]
We have:
[tex]i^{233}[/tex]
The trick here is to split the exponent into a number divisible by 4 plus the remainder. Notice that:
[tex]233=232+1[/tex]
And that:
[tex]232/4=58[/tex]
So, we can rewrite our exponent as:
[tex]=i^{4\cdot 58+1[/tex]
Using the properties of exponents:
[tex]=(i^4)^{58}\cdot i^1[/tex]
Since i to the fourth is simply 1:
[tex]=(1)^{58}\cdot i^1[/tex]
Simplify:
[tex]=1\cdot i^1[/tex]
Simplify:
[tex]=i[/tex]
Hence, our answer is C.
Graph the function f(x) = x2 – 2x – 8. Which features are correctly stated?
Answer:
C, B
Step-by-step explanation:
C: When you substitute F(0) = -8
B: You just have to find the x value of the lowest point of the graph
What is the image point of (2, 4) after a translation left 4 units and down 1 unit?
Answer:
the answer is (-2,3)
Step-by-step explanation:
when moving to the left you going across the x axis 4 times and going down once om the u axis
Can someone help me with this question? Will give brainliest :) (valid answers only or you’ll be reported)
Answer:
...
Step-by-step explanation:
The displacement function of a rock thrown straight up in the air is given by f(t) = -2t2 + 15.7t meters, where t is measured in seconds. Find the total distance travelled by the rock when it reaches the ground.
Answer:
0mStep-by-step explanation:
The height of the rock as it reaches the ground is zero i.e f(t) = 0
Substitute into the function to get t first as shown;
f(t) = -2t^2 + 15.7t
0 = -2t^2 + 15.7t
2t^2 = 15.7t
2t = 15.7
t = 15.7/2
t = 7.85secs
Get the total distance travelled by substituting t = 7.85 into the modeled equation;
Recall that:
f(t) = -2t^2 + 15.7t
f(7.85) = -2(7.85)^2 + 15.7(7.85)
f(7.85) = -123.245+123.245
Hence the total distance travelled by the rock when it reaches the ground is 0m
Find the slope between the points (-3, -5) and (7, -1)
Answer:
m = 2 /5
Step-by-step explanation:
Answer:
k
Step-by-step explanation:
6 is the slope im pretty sure. i followed the slope formula rise over run
( y2-y1 / x2-x1 ) and got 6
factor completely 25d^8 -80d^4 +64
Answer:
Step-by-step explanation:
(5d^4 - 8)^2
This is a perfect square.
Note an exponent multiplied by an exponent is the addition of them so
d^4 X d^4 = d^8
or
(d^4)(d^4)=d^8
Select all the situations that can be represented by the tape diagram. 99 W W W W W 4 Clare buys 4 bouquets, each with the same number of flowers. The florist puts an extra flower in each bouquet before she leaves. She leaves with a total of 99 flowers. Andre babysat 5 times this past month and earned the same amount each time. To thank him, the family gave him an extra $4 at the end of the month. Andre earned $99 from babysitting, A family of 5 drove to a concert. They paid $4 for parking, and all of their tickets were the same price. They paid $99 in total. 5 bags of marbles each contain 4 large marbles and the same number of small marbles. Altogether, the bags.contain 99 marbles. Han is baking five batches of muffins. Each batch needs the same amount of sugar in the muffins, and each batch needs four extra teaspoons of sugar for the topping. Han uses 99 total teaspoons of sugar.
Answer:
Third one 33333333333333333
Answer:
2 and 3
Step-by-step explanation:
The equation of the diagram would be 99=5w+4
#2-the number Andre earned for the 5 times babysat, each earning the same, would be represented by the 5w. The extra 4 dollars would be represented by the 4. And the $99 for the total would be represented by the 99.
#3- the cost of the parking would be represented by the 4. The 5 tickets that they paid for would be represented by the 5w. And the 99 would be the total.
At Maple High, the cost to attend special events depends on whether a student has purchased a $10 discount card. Option A: The student buys a discount card. The cost is $5 per event. Option B: The student does not buy a discount card. The cost is $7.50 per event.
Answer:
a. See the attached picture for the graph and the excel file for how the graph is drawn.
b. The students at Maple High should choose Option A when attending more than 4 events; but they should choose Option B when attending less than 4 events
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question as follows:
At Maple High, the cost to attend special events depends on whether a student has purchased a $10 discount card.
Option A: The student buys a discount card. The cost is $5 per event.
Option B: The student does not buy a discount card. The cost is $7.50 per event.
a. Graph the relationship between total cost and number of events for each option.
b. Determine the condition under which the students at Maple High should chose each option.
The explanations to the answers is now given as follows:
Let x represent the number of events and y represents the total cost.
Options A and B can therefore be written as follows:
Option A: y = 5x + 10 ……………………………. (1)
Option B: y = 7.5x ……………………………….. (2)
a. Graph the relationship between total cost and number of events for each option.
Note: See the attached picture for the graph and the excel for how the graph is drawn.
In the excel, we assume figures for x from 1 to 10 and then calculate the associated y using equations (1) and (2) above
Also, the number of events (x) is on the horizontal axis while the total cost (y) is on the vertical axis.
The graph for Option A is the blue one while the graph for Option B is the red one.
b. Determine the condition under which the students at Maple High should chose each option.
From the graph in the picture and the attached excel file, the total costs (y) for each of Options A and B ar equal when the number of events (x) is equal to 4.
It can bee observed that when the number of events (x) is greater than 4, the total cost (y) of Option A is less than the total cost (y) of Option B. Under this condition, Option A should be chosen.
On the other hand, when the number of events (x) is less than 4, the total cost (y) of Option A is greater than the total cost (y) of Option B. Under this condition, Option B should be chosen.
Therefore, the students at Maple High should choose Option A when attending more than 4 events; but they choose Option B when attending less than 4 events.
Lught herzu
[tex] {x}^ {2} - xy + {x}^{2} - xy [/tex]
Answer:
sry I can't understand how to do this question
Can y'all please solve this.....will give brainliest ^_^
Answer: a) 1.1962
after sig figs it’s 1.2
b) 0.4321
after sig figs it’s 0.43
Step-by-step explanation:
Answer:
a.) x=1.2
b.) y 0.43
Step-by-step explanation:
A. I would start with the square root on top. That equals 6.004
Divide that by 5.019.
=1.1963
B. I would start with the radical. Solving the radical results in 3.9939
Then, square 3.04
That would equal 9.2416
3.9939/9.2416= 0.4322
What is the completely reduced radical form of 80
Answer:
Step-by-step explanation:
Well technically 80 is completely reduced but I think your question is square root 80.
So what is the biggest square that can multiply something to get 80?
Well that would be 16.
4Sqrt5 is the completely reduced radical form of square root 80.
Suzanne bought 50 apples at the orchard. She bought 4 times as many red apples as green apples. How many more red apples than green apples did Suzanne buy?
Step-by-step explanation:
Let x be the number of Green apples bought.
Then 4x is the number of Red apples bought.
We have x + 4x = 50, so x = 10.
Since there are 10 green and 40 red apples, 40 - 10 = 30 more red apples than green apples.
1. Factorize :
(a) 2x + 6
Answer:
2(x+3) is the correct answer
Step-by-step explanation:
2 × x=2x 2×3=6
2x+6
2(x+3)
Answer:
2x=6/:2
x=3
that's the answer