Answers
Answer: -9x + 24
Step-by-step explanation:
To do this, we need to multiply each term by -3
So -3(3x -8) turns into
-9x + 24
That’s the answer!
Related Questions
The scale of a map is 1 cm : 79 km. What is the actual distance between two towns that are 4 cm apart on the map?
Answers
Answer: 316 km
Step-by-step explanation:
If the scale is 1 cm is equal to 79 km, and you have to find the real distance of 4 cm, then you would just multiply 4 times 79:
4 x 79 = 316
giving you your answer of 316 kilometers. Hope this helps!
Answer:
316
Step-by-step explanation:
4x79=316
Triangles A B C and A double-prime B double-prime C double-prime are shown. Triangle A double-prime B double-prime C double-prime is smaller and to the right of triangle A B C. Which transformations could have taken place to map △ABC to △A"B"C"? a reflection and a dilation a rotation and a dilation a translation and a dilation a reflection and a translation
PLEASE I NEED HELP ASAP
Answers
A smaller shape would be a dilation.
A move to the right would be a transition. (As long as the letters for the triangle are in the same orientation).
The answer should be:
A dilation a translation
There are various types of transformations that can be applied to a coordinate point. The new point could become compressed/enlarged, reflected, rotated, etc.
The transformations that transform [tex]\triangle ABC[/tex] to [tex]\triangle A"B"C"[/tex] are a translation and a dilation.
Given that:
[tex]\triangle A"B"C"[/tex] is smaller than [tex]\triangle ABC[/tex]
This means that sides of [tex]\triangle ABC[/tex] were dilated (i.e. compressed) to give the sides of [tex]\triangle A"B"C"[/tex]
Also:
[tex]\triangle A"B"C"[/tex] is at the right of [tex]\triangle ABC[/tex]
This means that [tex]\triangle ABC[/tex] was translated (i.e. shifted) to give [tex]\triangle A"B"C"[/tex]
Hence, the correct option is: a translation and a dilation.
Read more about transformations at:
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Simplify the variable expression below as much as possible.
8x + 4 + 8x-1
Answers
The simplified version of the expression 8x + 4 + 8x - 1 is 16x + 3 by combining like terms and simplifying the constants.
Explanation:To simplify the variable expression 8x + 4 + 8x-1, we will first combine all of the like terms.
In this expression, the like terms are 8x and 8x, so add these together to get 16x. Now we're dealing with the expression 16x + 4 - 1.
Next, simplify the constants by executing the addition and subtraction. 4 - 1 equals 3, so now we get 16x + 3.
Therefore, the simplified variable expression is 16x + 3.
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Question
George invested $4400 in an account with annually compounded interest. After 5 years, he had $5790 in the account. What
was the interest rate of the account? Round your answer to one decimal place. Do not write the percent sign,
Answers
A = P(1 + r)^t
A = accumulated amount = $5790
P = original amount invested = $4400
r = interest rate (in decimal form) = ? what it is asking for
t = time in years = 5 years
$5,790 = $4,400(1 + r)^5
r = 5.644% or 0.05644
Answer:
The rate of interest was approx 5.64%.
Step-by-step explanation:
The compound interest formula is :
[tex]A=p(1+\frac{r}{n} )^{nt}[/tex]
Here p = 4400
r = ?
n = 1
t = 5
A = 5790
Now putting the values in formula we get;
[tex]5790=4400(1+\frac{r}{1} )^{5}[/tex]
=> [tex]5790=4400(1+r )^{5}[/tex]
=> [tex]\frac{5790}{4400} =(1+r )^{5}[/tex]
=> [tex]1.316=(1+r )^{5}[/tex]
=> [tex]1+r=\sqrt[5]{1.316}[/tex]
r = 0.0564
In percentage it is [tex]0.0564\times100[/tex] = 5.64%
Hence, the rate of interest was approx 5.64%.
3-(-9)÷-10+6
what is the answer?show work
Answers
Answer:
- 12/4
Step-by-step explanation:
3 - (-9) / (-10) + 6
3 + 9 / (-4)
12 / (-4)
- 12/4
The length of a rectangle is 2 m greater than the width. The area is 168 m2 Find the length and the width
Answers
Answer:
Length = 14m
Width = 12m
Step-by-step explanation:
The length of a rectangle is 2m greater than the width.
The area of the rectangle = 168m²
Let's say the width is x meters.
The length will be (x + 2) meters.
Area of a rectangle = length × width
x(x + 2) = 168
x² + 2x - 168 = 0
Solving x by applying the quadratic formula we get;
x = 12 or -14
Since the width cannot be negative, we take 12 meters to be the dimensions of the width.
The length = 12 + 2 = 14 meters.
To find the length and width of the rectangle, we formulate an equation based on the known relationship between the dimensions and the given area. Solving the equation, we get the width as 12 m and length as 14 m.
Explanation:The question is about finding the length and width of a rectangle given the area and a relationship between the two dimensions. We can set up an equation based on the information given and the formula for the area of a rectangle. Namely, the area of a rectangle is equal to its length multiplied by its width (A = lw).
According to the problem, the length of the rectangle is 2 m more than the width. We can express this relationship as L = W + 2. We also know that the area of the rectangle is 168 m2, which results in the equation (W + 2)W = 168.
Solving this quadratic equation, we find that the width (W) is 12 m and the length (L) is 14 m. These are the dimensions of the rectangle.
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michael bought 0.44 pound of slice turkey. what is the value of the digit in the hundredths place?
Answers
Answer:
4
Step-by-step explanation:
You have 0.44
0 is in the ones place
4 is in the tenths place (0.4)
And the other 4 is in the hundredths place (0.04)
Answer:
4
Step-by-step explanation:
There is a 4 in the tenths place which is 0.4, and there is a 4 in the hundredths place which is 0.04. The 0.04 is the hundredths place, making 4 your answer
Choose all the statements that are true about this sequence.
60, 66, 72, 78
The value of the first term is 1.
This is an arithmetic sequence.
The value of the third term is 72.
The sequence starts at 60 and adds 4 repeatedly.
The sequence starts at 66 and adds 6 repeatedly
There are four terms in this sequence.
The sequence starts at 60 and adds 6 repeatedly.
Answers
This is an arithmetic sequence
The value of the 3rd term is 72
There are 4 terms in this sequence
The sequence starts at 60 and adds 6 repeatedly
5(2-x) is greater than or equal to -5(x+8)
Answers
Answer:
greater than
Step-by-step explanation:
5(2-x) = 10-5x
-5(x+8)= -5x-40
Two students wrote the following numerical expressions.
Angeline: (7 + 15) × (38 + 15)
MeiLing: 15 × (7 + 38)
Are the students’ expressions equivalent to your answer in Problem 4? Explain your answer.
Answers
Answer:
The expression are not equivalent.
Step-by-step explanation:
For Angeline we have the next process:
[tex](7+15)\times(38+15)=22\times53=1166[/tex]
For MeiLing we have:
[tex]15\times(7+38)=15\times45=675[/tex]
Then we have that the students expressions are not equivalent.
The process to solver the expressions was solving first the parenthesis and after that solver the multiplication.
Angeline's and MeiLing's expressions are not equivalent; Angeline's result is 1166 whereas MeiLing's is 675, due to different placement of parentheses and the main operator used.
To determine if the expressions provided by Angeline and MeiLing are equivalent, we must first simplify both expressions using the order of operations.
Angeline's expression is: (7 + 15) × (38 + 15). First, we perform the additions inside the parentheses:
7 + 15 = 22
38 + 15 = 53
Now we multiply the sums:
22 × 53 = 1166
MeiLing's expression is: 15 × (7 + 38). Again, we first add the numbers inside the parentheses:
7 + 38 = 45
And then multiply by 15:
15 × 45 = 675
Angeline's result is 1166 and MeiLing's result is 675, so the two expressions are not equivalent. It's the placement of the parentheses and the use of the main operator that leads to different results. This illustrates the importance of following the proper mathematical rules and sequence of operations to get the correct answer.
Find n 5|6n+15|+2=-43
Answers
Answer:
No solutionStep-by-step explanation:
[tex]5|6n+15|+2=-43\qquad\text{subtract 2 from both sides}\\\\5|6n+15|+2-2=-43-2\\\\5|6n+15|=-45\qquad\text{divide both sides by 5}\\\\\dfrac{5\!\!\!\!\diagup^1|6n+15|}{5\!\!\!\!\diagup_1}=\dfrac{-45\!\!\!\!\!\diagup^9}{5\!\!\!\!\diagup_1}\\\\|6n+15|=-9\qquad\bold{FALSE}\to\text{no solution}\\\\\text{because}\ |a|\geq0\ \text{for any real value of}\ a.[/tex]
-4×-y=24 to find the x-vlue that corresponds to y=8 let's substitute this y-vlue In the equation
Answers
Because negative times negative equalls positive
-4x - y = 24
Let y = 8
-4x - 8 = 24
-4x = 24 + 8
-4x = 32
You finish.
If angle jnp =2x+3 and angle knl =3x-17 and angle knj =3x+34 find the measure of each angle
Answers
Answer:
m∠JNP=43°
m∠KNJ=94°
m∠KNL=43°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m∠JNP+m∠KNJ+m∠KNL=180° ----> by definition of supplementary angles
we have
m∠JNP=(2x+3)°
m∠KNJ=(3x+34)°
m∠KNL=(3x-17)°
substitute the values
(2x+3)°+(3x+34)°+(3x-17)°=180°
Combine like terms in the left side
(8x+20)=180
Subtract 20 both sides
8x=180-20
8x=160
x=20
Find the measure of m∠JNP
m∠JNP=(2x+3)°
substitute the value of x
m∠JNP=(2(20)+3)=43°
Find the measure of m∠KNJ
m∠KNJ=(3x+34)°
substitute the value of x
m∠KNJ=(3(20)+34)=94°
Find the measure of m∠KNL
m∠KNL=(3x-17)°
substitute the value of x
m∠KNL=(3(20)-17)=43°
13.) 2x + y - z= 5
+ x +4y +2z = 16
15x +6y – 2z= 12
Solve
Answers
Answer:
that's... no
Step-by-step explanation:
ok there is no way this is a thing
Raj wrote - (5^4) = ( – 5)^4 is Raj correct? Why or why not?
Answers
Answer:
This is False / incorrect
Step-by-step explanation:
because one side is positive and the other one negative
Answer:
No, it would just be -5^4
Step-by-step explanation:
Because when distributing the negative into the parentheses, we would not keep the parentheses afterwards
m<ZHG = 11x - 1, m<ZIHZ=24°
and m<IHG = 12x + 13. Find m<IHG.
Answers
Answer:
m<IHG=133°
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
m<ZHG+m<IHZ= m<IHG -----> by angle addition postulate
substitute the given values and solve for x
11x-1+24=12x+13
Combine like terms
11x+23=12x+13
Group terms that contain the same variable
12x-11x=23-13
x=10
Find the measure of angle IHG
substitute the value of x
m<IHG= 12(10)+13 =133°
Marcie is playing a board game with I friend. She needs 20 points to win.she currently has -10. She want to know the difference between the number of points she needs.
A. Write a subtract problem to represent the situation. Then write the subtraction problem as an addition problem.
B. Model the addition problem on the number line.
C.what is the difference between the number of points she needs to win and the number point she has now.
Answers
A. 20 - (- 10) = 20 + 10 = 30 points.
B. Illustrated on the diagram.
C. The difference between the number of points she needs to win and the number of point she has now is 30 points.
What is a number line?A number line is a horizontal line where we can represent any real number.
The origin of the number line is represented with zero and left to it are all negative numbers and right to it is all positive numbers.
Given, she has - 10 points, and to win she needs 20 points.
∴ She needs 20 - (- 10) = 20 + 10 = 30 points.
Modeling of this situation is represented by the diagram given.
The difference between the number of points she needs to win and the number of point she has now is 30 points.
learn more about number line here :
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This answer provides a step-by-step explanation of how to solve a subtraction and addition problem in the context of a board game scenario.
A. Subtract problem: Marcie needs 20 points to win, she has -10 points. The subtraction problem is 20 - (-10). This can be written as an addition problem: 20 + 10.
B. Model on the number line: Mark 20 as the target number on the number line and then move 10 units to the right to represent addition.
C. The difference: The difference between the number of points Marcie needs to win and what she has now is 30 points.
Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of
butterflies are shown below. What inference can be made about the butterflies in Louden County from the samples?
14
2009
Meadow Fritillary
Variegated Fritillary
Zebra Swallowtail
Eastern-Tailed Blue
5
7
33
242
Louden County Butterfly Count
2010
Meadow Fritillary 34
Variegated Fritillary 95
Zebra Swallowtail 21
Eastern-Tailed Blue 168
2011
Meadow Fritillary
Variegated Fritillary
Zebra Swallowtail
Eastern-Tailed Blue
10
170
A) All butterfly populations are steadily decreasing.
B)All butterfly populations were larger than usual in 2010.
C)The Eastern-Tailed Blue butterfly is more common than the others.
D)The Meadow Fritillary is equally common as the Variegated Fritillary
Answers
As laden country wildlife conservation counts the butterflies each year they have data over 3 years and is based on four types of butterflies.
The option C that is The Eastern-Tailed butterfly is most common than the other. As the unit has data of 2009-011. The eastern blue butterfly is more common than other types. That is 168 populationLearn more about the Wildlife Conservancy counts butterflies each year.
brainly.com/question/15695192.
Answer:
C✔(*/ω＼*)
Step-by-step explanation:
When an oil tank is 7/12 full, it contains 5 1/4gallons. How many gallons does it hold when full?
Answers
Final answer:
To determine the full capacity of the tank, the amount of oil it contains when it is 7/12 full (5 1/4 gallons) is divided by 7/12. After conversion and calculation, the full capacity is found to be 9 gallons.
Explanation:
The student's question asks, "When an oil tank is 7/12 full, it contains 5 1/4 gallons. How many gallons does it hold when full?" To find the full capacity of the tank, we divide the amount of oil when the tank is partially full by the fraction representing how full it is.
First, convert 5 1/4 gallons to an improper fraction: 5 1/4 = 21/4 gallons. Then divide this amount by 7/12 to find the full capacity.
Full capacity = (21/4) ÷ (7/12) = (21/4) × (12/7) = (21×12) / (4×7) = 252 / 28 = 9 gallons.
So, the full capacity of the oil tank is 9 gallons.
Based on location of the original figure, in which quadrant Will the figure be after rotating?
Answers
Answer:
Step-by-step explanation:
What is 4 divided by 29 in decimal ok
Answers
0.13793103448
Just simple long division.
2x+3x^2(4x-5)
please helpppp asap
Answers
Here's my step-by-step explanation:
We're just gonna factor.
If your teacher has spoken of FOIL, then he/she has probably said that it means First Outer Inner Last and that it helps with distributing problems like these.
Right, so let's get to it.
[tex]2x+3x^2 (4x-5)\\2x(4x-5)+3x^2(4x-5)\\2x(4x) + 2x(-5) + 3x^2(4x) + 3x^2(-5)[/tex]
Can you see the FOIL method being spread out here? Let's keep going.
[tex]2x(4x) + 2x(-5) + 3x^2(4x) + 3x^2(-5)\\8x^2 + (-10x) + 12x^3 + (-15x^2)\\12x^3 + 8x^2 - 15x^2 -10x\\12x^3 -7x^2 -10x[/tex]
Hope this helps, and let me know if I made a mistake! ^_^
20 POINTSSS
Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one
dealer she would pay $2,350 down and $150 each month. At another dealer, she would pay $2,950 down
and $125 each month. After how many months would the total amount paid be the same for both
dealers? What would that amount be?
After
months Kenya will have paid $
for the bike at either dealer.
Answers
Answer:
24 Months; $5950
Step-by-step explanation:
which values are in the solution set of |x| = 3
a.) x < 3
b.) x > 3
c.) x = -3
d.) x = 0
Answers
Answer:
c.) x = -3Step-by-step explanation:
[tex]|a|=\left\{\begin{array}{ccc}a&for&a\geq0\\-a&for&a<0\end{array}\right\\\\\text{Examples:}\\\\|2|=2\\|-5|=-(-5)=5\\|0|=0\\|-23|=23\\\\=====================\\\\|x|=3\Rightarrow x=-3\ or\ x=3\\\\\text{Check:}\\\\|3|=3\\|-3|=-(-3)=3[/tex]
What is the first step in simplifying
Answers
Answer: PEMDAS
parenthesis, exponents, multiplication, division, addition, subtraction
Step-by-step explanation:
Answer:
Collect like terms or reduce or using PEMDAS METHOD.
please help me! thanks in advance trying to raise my grade
Answers
Answer:
x=53
Step-by-step explanation:
In the attachment, it shows how the angle 53 is vertically opposite to the one in blue. Which happens to be corresponding, therefore equal, to the angle x.
Have a nice day!!! :-)
KA
Val rented a bicycle while she was on
vacation. She paid a flat rental fee of $55.00,
plus $8.50 each day. The total cost was
$123. Write an equation you can use to find
the number of days she rented the bicycle
Answers
Answer:
8.50x+55=123
Step-by-step explanation:
x will be the number of days, then the daily fees are 8.50x. Since there is a flat fee of $55, the total fees are 8.50x+55
A given line has the equation 10x+2y=−2 . What is the equation, in slope-intercept form, of the line that is parallel to the given line and passes through the point (0, 12)? y=−5x+12 5x+y=12 y−12=5(x−0) 5x+y=−1
Answers
Answer:
y = -5x + 12
Step-by-step explanation:
10x + 2y = −2
-10x - 10x
_______________
2y = -10x - 2
__ ________
2 2
y = -5x - 1, [0, 12] ∥↷
12 = -5[0] + b
0
12 = b
y = -5x + 12
I am joyous to assist you anytime.
Answer: [tex]y=-5x+12[/tex] or [tex]5x+y=12[/tex]
Step-by-step explanation:
The given equation of a line: [tex]10x+2y=-2[/tex]
Rewrite equation of line in slope intercept form (y=mx+c) by subtracting 10 on both sides and then divide both sides by 2, we get
[tex]y=-5x-1[/tex]
Slope of line : m= -5 [Coefficient of x]
Since , the slope of two parallel lines are equal.
Then, slope of line parallel to given line= -5
Equation of a line passing through point (a,b) and has slope p is given by :-
[tex](y-b)=p(x-a)[/tex]
Similarly, Equation of a line passing through point (0,12) and has slope -5 is given by :-
[tex](y-12)=(-5)(x-0)\\\\\Rightarrow\ y-12=-5x\\\\\Rightarrow\ 5x+y=12[/tex]
How to estimate 1,103 x 59
Answers
Answer:
60000
Step-by-step explanation:
Rough estimate: 1000(60) = 60000
Answer:
1,103~1,000
59~60
×__________________
60000
Step-by-step explanation:
You round each of them by the nearest place then multiply (ex. 12 round the 2 because its the one closest to the highest place ~10
× 15~10=100) sorry if it doesn't make sense @-@
Hi the question is done below pls answer for 60points
Answers
Answer:
Scalene Right i would believe!
Step-by-step explanation: