Answers
Answer:
x + 46
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define expression
4(-8x + 5) - (-33x - 26)
Step 2: Simplify
Distribute: -32x + 20 + 33x + 26Combine like terms (x): x + 20 + 26Combine like terms (Z): x + 46Related Questions
A total of $5000 is invested: part at 5% and the remainder at 15%. How much is invested at each rate if the annual interest is $720?
Answers
Answer:
At 5% , $300 was invested
At 15%, $4,700 was invested
Step-by-step explanation:
Let the amount invested at 5% be $x and the amount invested at 15% be $y
x + y = 5000 ••••••(i)
Let’s work with the interest;
5% of x + 15% of y = 720
0.05x + 0.15y = 720 •••••(ii)
From i;
x = 5000-y
Insert this into ii
0.05(5000-y) + 0.15y = 720
= 250 - 0.05y + 0.15y = 720
250 + 0.1y = 720
0.1y = 720-250
0.1y = 470
y = 470/0.1
y = $4700
x = 5000-y
x = 5000-4700 = $300
Jonas is concerned about the amount of water he uses to wash his laundry. he made a table to show the number of gallons of water used by different washing machines to complete of laundry. use variables to represent the independent and dependent shown in the table and Use variables to represent the dependent variable and the independent variable in this sentence
Table:
Type of Washing Machine:
Older top Loanding,
New Standar Model,
Energy Efficient,
Age of washing Machine (years):
(6,4,2)
and
Gallons Of Water:
(42,28,14)
I do not understand your answer
The exercise asks who are the independent and dependent variables
Answers
In the case of Jonas and his washing machine the independent variables are:
Type of Washing Machine.The dependent variables are:
Age of Washing Machine (years).Gallons of Water (42, 28, 14).Energy Efficient.What is an independent variable?The independent variable refers to all those variables that are tested experimentally, being manipulated by researchers in order to test a hypothesis.
Generally, the independent variable has the greatest influence on the result of the experiment, this means that it modifies all the dependent variables.
What is a dependent variable?The independent variable refers to the qualities or characteristics whose behavior is affected by the independent variable. It is about the variable or variables that are measured in order to be able to interpret the results and confirm or discard a hypothesis.
According to the above, it can be inferred that the independent variables in the case of Jonas are the type of washing machine because this variable will directly affect the other variables.
For example, depending on the type of washing machine Jonas uses, it will consume different amounts of energy and will need different amounts of water.
Learn more about variable in: https://brainly.com/question/1029540
Match the following.
Given A = (1, 2, 3, 4, 5) B = (2, 4, 6) C = (1, 3, 5)
Answers
Answer:
u have to put the pic of it then only we can understand this please put a pic
choices for the first select
∠7 or none of the angles
choices for the second select
is or is not
choices for the third select
is or is not
giving brainliest !!!!!
Answers
Answer:
1. None of the angles
2. Is not
3. Is not
Step-by-step explanation:
We can see if the triangles are congruent by ASA (angle, side, angle)
We find ∠F in DEF by 180-(64+78)=38 and 38 doesn't equal 39 so they are not congruent.
Which type of cloud is mostly made up of ice crystals? A. Altostratus B. Cirrus C. Cumulus D. Stratus
I know not math But please help
Answers
Answer:
The answer is B
Step-by-step explanation:
look it up on google.
Answer:
The answer is B
Mostly its of B but some clouds are also made up of cmulus(option C)
Please help it would help a lot
Answers
Answer:
1/2
Step-by-step explanation:
Answer:
y÷x 1÷2=1/2 This is the answer.
Last month, Jason’s dog drank about 728 ounces of water and his cat
drank about 252 ounces of water.
If Jason’s dog continues to drink this amount, how many ounces of water will he have consumed after 6 months? Show your work in the box below.
Answers
Answer:
131,040
Step-by-step explaination:
There is around 29-31 days in a month, so if you just round it's around 30 days a month.
30×6= 180 (days)
180×728= 131,040 ounces
jasons dog would drink 131,040 in 6 months.
Solve.
Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
< Previous
Next >
No new data to save last checked at 10:16 nm
Answers
Answer:
The first angle is 68.
Step-by-step explanation:
[tex]x_{1}+x_{2}+x_{3}=180\\x_{1} = 4*x_{2}\\x_{3}=x_{2}+ 78\\4*x_{2} + x_{2} + x_{2}+ 78 = 180\\6*x_{2}=102\\x_{2} = 17\\[/tex]
So [tex]x_{1}=68[/tex] and [tex]x_{3}=95[/tex]
Write each mixed number as a percent: 7 3/10
Answers
Answer:
730%
Step-by-step explanation:
Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.
7/5, 5/3,13/6,8/3
Answers
This question was not written properly
Complete Question
Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic sequence.
7/6, 5/3, 13/6, 8/3
Answer:
a) Common difference = 1/2
b) Fifth term = 19/6
c) nth term = 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term = 152/3
Step-by-step explanation:
We solve using the formula for arithmetic sequence
an = a1 + (n - 1)d
a1 = First term
n= nth term
d = common difference
a) Common difference = Second term - first term or Third term - second term
= d = 5/3 - 7/6
d = LCD (Lowest Common Denominator = 15
d = 5 × 6 - 3 × 7/18
d = 30 - 21/15
d = 9/18
d = 1/2
b) Fifth term =
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 5
d = 1/2
a5 = 7/6 + (5 - 1)1/2
a5 = 7/6 + (4)1/2
a5 = 7/6 + 4/2
a5 = 7/6 + 2
a5 = LCD = 6
= 7× 1 + 2 × 6/6
= 7 + 12/6
= 19/6
c) nth term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = n
d = 1/2
= 7/6 + (n - 1)1/2
= 7/6 + n/2 - 1/2
d) 100th term
an = a1 + (n - 1)d
a1 = First term = 7/6
n= nth term = 100
d = 1/2
a5 = 7/6 + (100- 1)1/2
a5 = 7/6 + (99)1/2
a5 = 7/6 + 99/2
a5 = 7/6 + 99/2
a5 = LCD = 6
= 7× 1 + 3 × 99/6
= 7 + 297/6
= 304/6
= 152/3
Question
2. Determine
the
acute
angle
between the planes
x - 2y + 5z = 3
2x + y - 3z = 15.
Distance of a plane from the origin:
Answers
Answer:
Acute angle between the two planes: approximately [tex]43^\circ[/tex].
Step-by-step explanation:
Find the normal vector of each plane:
The normal vector of the plane [tex]x - 2\, y + 5\, z = 3[/tex] is [tex]\displaystyle \begin{bmatrix}1 \\ -2 \\ 5\end{bmatrix}[/tex].The normal vector of the plane [tex]2\, x + y - 3\, z = 15[/tex] is [tex]\displaystyle \begin{bmatrix}2 \\ 1\\ -3\end{bmatrix}[/tex].As the name suggests, there is a [tex]90^\circ[/tex] angle between a plane and its normal vector. The following four angles will correspond to the vertices of a quadrilateral:
The [tex]90^\circ[/tex] angle between the first plane and its normal vector.The angle between the normal vector of each plane.The [tex]90^\circ[/tex] angle between the second plane and its normal vector.The smallest angle between these two planes.The sum of these four angles should be [tex]360^\circ[/tex]. Two of these four angles were known to be [tex]90^\circ[/tex]. Once the third angle (the angle between the two normal vectors) is found, subtractions would give the measure of the other angle (the smallest angle between these two planes.)
Make use of the dot product to find the angle between these two normal vectors. Let [tex]\theta[/tex] denote the angle between these two vectors.
[tex]\displaystyle \cos \theta = \frac{\begin{bmatrix}1 \\ -2 \\ 5\end{bmatrix} \cdot \begin{bmatrix}2 \\ 1 \\ -3\end{bmatrix}}{\sqrt{1^2 + (-2)^2 + 5^2} \cdot \sqrt{2^2 + 1^2 + (-3)^2}} \approx -0.73193[/tex].
Before continuing, notice that the smallest angle between the two planes would be [tex]360^\circ - 90^\circ - 90^\circ - \theta = 180^\circ - \theta[/tex].
Consider the identity: [tex]\cos\left(180^\circ - \theta\right) = -\cos \theta[/tex].
In other words, [tex]\cos\left(180^\circ - \theta\right)[/tex], the cosine of the smallest angle between the two planes (which the question is asking for) will be the opposite of [tex]\cos \theta[/tex], the cosine of the angle between the two normal vectors.
Therefore, the cosine of the smallest angle between the two planes will be [tex]-(-0.73193) = 0.73193[/tex].
Apply the inverse cosine function to find the size of that angle:
[tex]\arccos(0.73193) \approx 43^\circ[/tex].
Do you guys know this
Answers
Answer:
18
Step-by-step explanation:
You solve the inner first, then move to the outer.
Let's take a look at g(x) first. It's stated that g(x) = [tex]x^2[/tex]. We plug in 3 for x and get 9 as the answer.
We then use this answer in f(x). The formula stated is f(x) = 2x. We plug in 9 for x and get 18.
Ima be doing this for the whole form sorry I’m failing math
Answers
Answer:
4,0 2,3 ans solutions this may help
A company manufactures fuel tanks for cars. The total weekly cost (in dollars) of producing x fuel tanks is given by ... C(x) = 10000 +90x - 0.08x2 Find the exact cost of producing the 501st item.
Answers
Answer:
cost of producing the 501st item = $9.92
Step-by-step explanation:
The function representing the cost is given by;
C(x) = 10000 + 90x - 0.08x²
To get the cost of producing the 501st item, we have to first find the cost of producing 500 items and then do the same for 501 items then subtract the values gotten.
Thus;
C(500) = 10000 + 90(500) - 0.08(500)²
C(500) = 10000 + 45000 - 20000
C(500) = $35000
Similarly;
C(501) = 10000 + 90(501) - 0.08(501)²
C(501) = 10000 + 45090 - 20080.08
C(501) = $35009.92
cost of producing the 501st item = C(501) - C(500) = 35009.92 - 35000 = $9.92
Noah is growing three different types of trees. He is keeping track of the height of each tree over time.
This equation represents the height (in feet) of the Tree #1 over m months: h=3.5m
The information is in the table is for Tree #2:
time (months) height of tree (feet)
2 5
4 10
5 12.5
8 20
This graph shows how long, in months, it takes Tree #3 to grow h feet.
A graph. Height, in feet. Time, in months.
Which tree is growing the slowest?
Answers
Answer:
Tree 3
Step-by-step explanation:
The equation for the height of tree 1 is given as:
h = 3.5m
The equation for the height of tree 2 is gotten using the points from the table (2,5) and (4, 10)
Hence:
[tex]h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-5=\frac{10-5}{4-2} (m-2)\\\\h-5=2.5m-5\\\\h=2.5m \\[/tex]
From the graph of tree 3, we get the points (2,4) and (4, 8)
Hence:
[tex]h-h_1=\frac{h_2-h_1}{m_2-m_1}(m-m_1)\\\\h-4=\frac{8-4}{4-2} (m-2)\\\\h-4=2m-4\\\\h=2m \\[/tex]
Therefore tree 3 grows the slowest
1) Fairview and Abbots Rise are 5 in apart on a map that has a scale of 1 in : 18 mi. How far apart are the real cities? 2) A particular satellite is 12 ft wide. A model of it was built with a scale of 1 in :3 ft. How wide is the model? Please help me I have 4 more questoins
Answers
Answer:
1) 90 mi
2) 4 inch
Step-by-step explanation:
1)
Given that the distance between Fairview and Abbots Rise on the map = 5 in
Scale of the map = 1 in: 18 mi
i.e. 1 inch on map is equivalent to an actual distance equal to 18 mi between the cities.
Given that the map has a distance of 5 inches.
Therefore, the actual distance between the cities = 5 [tex]\times[/tex] 18 = 90 mi
2) A particular satellite is 12 ft wide.
Model's scale = 1 in : 3 ft
i.e. 1 inch on map is equivalent to actual distance of 3 ft.
OR
3 ft of actual distance = 1 in on map
1 ft of actual distance = [tex]\frac{1}{3}[/tex] in on map
12 ft of actual distance = [tex]\frac{1}{3}\times 12 = \bold{4\ inch}[/tex]
1. Which equation represents the relationship shown in the table below? (1 point)
y = -x - 3
y=x-3
y = 2x - 3
y=-2x + 3
Answers
The equation representing the relationship in the table is y = 2x - 3. The correct option is C.
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between two or more variables.
Given data in the table:-
x y
0 -3
1 -1
2 1
3 3
The equation satisfying the values of the table will be:-
y = 2x - 3
-3 = 2 x 0 - 3=-3
-1 = 2 x 1 - 3 =-1
1 = 2 x 2 - 3 = 1
3 = 2 x 3 - 3 = 3
Therefore, the equation representing the relationship in the table is y = 2x - 3. The correct option is C.
To know more about an equation follow
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Ashot borrowed $225, and paid $108 as an interest of eight years. What was the annual interest rate?
Answers
Answer:
6%
Step-by-step explanation:
I asked this same exact question, no one got the right answer, so I just guessed, and what do you know, I got the answer right! So here you go.
Answer:
6%
Step-by-step explanation:
108 x%
------- = --------
225 100%
There are 324 stitches sewn on 3 basketballs. Which equation finds the number of stitches, n, sewn on 1 basketball?
Answers
Answer: 108 stitches sewn on 1 basket ball
Step-by-step explanation:
324 divided by 3 would give you 108
Answer:
324/3=16
Step-by-step explanation:
324 divided by 3= 16
3 The lyy Hill Sunshine Club collected 524 cans for a canned food drive. The cans were then split up equally into 8 boxes. (a) Part A How many cans were in each box? Part B How many cans were left over after the boxes were filled? (b) А 65.5 cans < NEXT
Answers
Answer:
sorry I wish I could it help you but if you have any other question let me know
could someone please help me with #7 and #8?
Answers
Answer: I'm not sure If i'm right because I did this since 8th grade.
For number 7, I think it would be (the equation form)= 6 x + 16
For number 8, I think it would be nothing because there is no solution.
Hope this helps:)
2(3x + 8) = 6x + 16
6x + 16 = 6x + 16
It would be all solutions
8. Plug in 4x + 5 for y in second equation
12x - 3(4x + 5) = 9
12x - 12x - 15 = 9
12x cancels out
-15 = 9
There would be no solution
Which value of x will make the fraction 10/x equivalent to 2/3?
I need this urgently!!!
Answers
Answer:
The value of x would be 15
Explanation:
10/x = 2/3
Cross multiply:
10 · 3 = x · 2
30 = 2x
30 ÷ 2 = x
15 = x
The sum of two positive numbers is 37, and their difference is 7. If x and y represent the unknown numbers, which two
equations belong to the system of equations that represents this situation?
Answers
Answer:
C & D. check the image just in case the order changes
Step-by-step explanation:
A system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
The sum of the two positive numbers is 37, and their difference is 7.
Let x and y be the numbers:
x > 0 and y > 0
x + y =37
x - y = 7
The above two equations represent the situation where the sum of two positive numbers is 37, and their difference is 7.
After solving the above equation by elimination method:
2x = 44
x = 22
22 - y = 7
y = 22 - 7
y = 15
Thus, a system of equations is x + y =37 and x - y = 7 the positive numbers are 22 and 15.
Learn more about the linear equation here:
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A -gallon [gal] quantity of molten (liquefied) plastic is going to be used to make a 1-foot [ft] by 8-inch [in] plastic block. If liters [L] of the plastic is lost in the manufacturing process, how thick is the final plastic block, in units of inches [in]?
Answers
Answer:
x = 1,77 in
Step-by-step explanation:
Total volume of molten plastic to make a block is
1 [gal] - 1 L (lost in the process) = 3,7854 - 1 = 2,7854
Now the volume of the block is:
1 foot * 8 inches * x ( thick of the block )
1 foot is 0,3048 meter and 1 inch is 0,0254 meter
Then in m³ the volume of the block is
0,3048 * 8 * 0,0254 * x = 0,06193536 * x [ m³ ]
That volume should be equal to 2,7854 / 1000
Therefore
0,06193536 * x = 2,7854 / 1000 x in m³
x = 2,7854 /61,93536 m
x = 0,044972 m and 1 m = 39,37 in
x = 1,77 in
FInd the area of the circle
Answers
Answer:
A = 12.56 m²
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASGeometry
Area of a Circle: A = πr²d = 2rStep-by-step explanation:
Step 1: Define
d = 4 m
Step 2: Find r
Substitute: 4 = 2rIsolate r: 2 = rRewrite: r = 2 mStep 3: Find Area
Substitute: A = π(2)²Substitute: A = (3.14)(2)²Evaluate: A = (3.14)(4)Multiply: A = 12.56 m²Helpoooooooooooooooooooo
Answers
Answer:
1. x >/= -1
2. x < 4
3. x </= -1
4. x >/= -2
5. x < -3
6. x </= 7
Step-by-step explanation:
Pam drivers 14,735 miles in one year. The next year she drivers 13,869 miles. How many miles did she Drive in all?
Answers
Answer:28604 in total
Step-by-step explanation:
just copy and paste hope this helps
Answer:
28604 miles
Step-by-step explanation:
Just add the two numbers to get the total number of miles:
14735
+ 13869=
28604
The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the equation y = (1/3)x, where x represents the number of animals and y represents pounds of food. If y varies directly with x, which graph represents the situation?
Answers
Answer:
It is the second graph.
Step-by-step explanation:
Write the slope-intercept form of the equation of the line described. Through (-2, -2) parallel to y = -2/7x -5
Answers
Answer: y= -2/7x-2
Step-by-step explanation:
To be parrell they have to have the same slope but different y intercepts.
so just put -2 so it will cross that point
PLZ HELP!!! WILL GIVE U BRAINLIEST!!!
Answers
Answer:
Graph B is correct
(3,-1)
Step-by-step explanation:
Convert to slope-intercept form and find them on graph.
Answer:
Graph B and (3,-1)
Step-by-step explanation:
Step: Solve x−2y=5 for x:
x−2y=5
x−2y+2y=5+2y (Add 2y to both sides)
x=2y+5
Step: Substitute 2y+5 for x in 3x+15y=−6:
3x+15y=−6
3(2y+5)+15y=−6
21y+15=−6 (Simplify both sides of the equation)
21y+15+−15=−6+−15 (Add -15 to both sides)
21y=−21
(Divide both sides by 21)
y=−1
Step: Substitute−1for y in x=2y+5:
x=2y+5
x=(2)(−1)+5
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=−1 or (3,-1)