Answer:
[26, -32]
Step-by-step explanation:
7[-y - 6] + 6y = -10
-7y - 42 + 6y = -10
-y - 42 = -10
+ 42 + 42
____________
-y = 32
-32 = y [Plug this back into both equations to get the x-value of 26]; 26 = x
I am joyous to assist you anytime.
Simplify the variable expression below as much as possible.
8x + 4 + 8x-1
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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46. Construct Arguments A one-year prepaid
membership at Gym A costs $250 plus $19 per
month for the second year. A one-year
prepaid membership at Gym B costs $195 plus
$24 per month for the second year. Leah says
the cost for both gym memberships will be the
same after the 11th month of the second year.
Do you agree? Explain.
Answer:
yes the first one is best answer because its a lower # to pay over time Step-by-step explanation:
how do i add a negative integer and a postive integer
Answer:
See below.
Step-by-step explanation:
Step 1.
Take the absolute value of the negative number.
Now both numbers are positive.
Step 2.
Subtract the smaller positive number from the larger positive number.
Step 2.
The sign of the answer is the same sign as the number with the larger absolute value.
Answer:
To add a negative integer and a positive integer, just think of changing the negative integer to a positive one and subtracting this from the original.
Step-by-step explanation:
To add a negative integer and a positive integer, just think of changing the negative integer to a positive one and subtracting this from the original.
For example: 7 + -5. If you look, You are adding 5 negatives to a 7: you are subtracting 5 from 7. Subtracting a negative integer is the same as adding.
6 - -7, for example. You are subtracting 7 negatives from 6, or adding 7 to 6.
which values are in the solution set of |x| = 3
a.) x < 3
b.) x > 3
c.) x = -3
d.) x = 0
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]
-4×-y=24 to find the x-vlue that corresponds to y=8 let's substitute this y-vlue In the equation
-4x - y = 24
Let y = 8
-4x - 8 = 24
-4x = 24 + 8
-4x = 32
You finish.
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.
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.
Paul wants to gift wrap the boxes. He has 1,000.00 square inches of wrapping paper. Does Paul have enough to wrap all three boxes?
Find two points that lie on a line with slope -9
Where's the picture? I need to see the graph first. I wouldn't be able to find the 2 points if i couldn't see graph
Raj wrote - (5^4) = ( – 5)^4 is Raj correct? Why or why not?
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
2x+3x^2(4x-5)
please helpppp asap
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! ^_^
13.) 2x + y - z= 5
+ x +4y +2z = 16
15x +6y – 2z= 12
Solve
Answer:
that's... no
Step-by-step explanation:
ok there is no way this is a thing
If angle jnp =2x+3 and angle knl =3x-17 and angle knj =3x+34 find the measure of each angle
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°
When an oil tank is 7/12 full, it contains 5 1/4gallons. How many gallons does it hold when full?
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.
The amount of rainfall each month over the past four years is shown below
Answer: C
Step-by-step explanation: On Edge 2020
D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.
What is Symmetrical Graph?A graph is said to be symmetric about a line if the graph remains unchanged when we reflect the graph on one side of the line to the other side.
Given is a histogram representing the amount of rainfall in the last 4 years or 48 months.
So the graph is symmetrical if we draw a line at the point 3.
Amount of rainfall is 0 - 1 inches for first 11 months. Then it is 1.01 - 2 inches for the next 8 months. Then 2.01 - 3 for the next 5 months and again 3.01 - 4 for the next 5 months. Then it is 4.01 - 5 and 5.01 - 6 for the next 8 years and 11 years respectively.
19 months has the rainfall less than 2.01 inches.
19 months has the rainfall greater than 4 inches.
Only 48 - (19 + 19) = 10 months are having rainfall in between 2.01 and 4.
So majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.
Hence the correct option is D.
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Your question is incomplete. The complete question with the missing part is below.
The amount of rainfall each month over the past four years is shown below.
Which statement must be true according to the histogram?
A) The data is skewed, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches.
B) The data is skewed, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.
C) The data is symmetrical, showing that the majority of the monthly rainfall amounts was between 2.01 and 4 inches.
D) The data is symmetrical, showing that the majority of the monthly rainfall amounts was less than 2.01 or greater than 4 inches.
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
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]
5(2-x) is greater than or equal to -5(x+8)
Answer:
greater than
Step-by-step explanation:
5(2-x) = 10-5x
-5(x+8)= -5x-40
What is the value of x?
x − 1/6 = 8
Enter your answer in the box in simplest form.
Answer:
8 1/6
Step-by-step explanation:
X - 1/6 = 8
Carry over the 1/6
X = 8 + 1/6
X = 8 1/6
To find out if X is correct
X (8 1/6) - 1/6 = 8
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,
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%.
michael bought 0.44 pound of slice turkey. what is the value of the digit in the hundredths place?
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
m<ZHG = 11x - 1, m<ZIHZ=24°
and m<IHG = 12x + 13. Find m<IHG.
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°
Betsy spends her entire allowance one month. She spends 1/2 on new clothes, 1/5 on food, 1/5 on movies, and 1/10 on music. How much more does she spend on clothes than she does on movies?
A) 1/5 of her allowance C) 3/10 of her allowance
B) 1/2 of her allowance D) 1/10 of her allowance
Answer: The answer is C because 1/2 - 1/5 = 3/10
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
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
Based on location of the original figure, in which quadrant Will the figure be after rotating?
Answer:
Step-by-step explanation:
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?
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
How can I Factor 9x2-1
Answer:
17 = 17^1
Step-by-step explanation:
Factor the following integer:
17
17 is not divisible by 2 since 17 is odd and 2 is even:
17 = 17 (17 is not divisible by 2)
The sum of the digits of 17 is 1 + 7 = 8, which is not divisible by 3. This means 17 is not divisible by 3:
17 = 17 (17 is not divisible by 2 or 3)
The last digit of 17 is not 5 or 0, which means 17 is not divisible by 5:
17 = 17 (17 is not divisible by 2, 3 or 5)
Divide 7 into 17:
| | 2 | (quotient)
7 | 1 | 7 |
- | 1 | 4 |
| | 3 | (remainder)
17 is not divisible by 7:
17 = 17 (17 is not divisible by 2, 3, 5 or 7)
The alternating sum of the digits of 17 is 1 - 7 = -6, which is not divisible by 11. This means 17 is not divisible by 11:
17 = 17 (17 is not divisible by 2, 3, 5, 7 or 11)
Divide 13 into 17:
| | | 1 | (quotient)
1 | 3 | 1 | 7 |
| - | 1 | 3 |
| | | 4 | (remainder)
17 is not divisible by 13:
17 = 17 (17 is not divisible by 2, 3, 5, 7, 11 or 13)
No primes less than 17 divide into it. Therefore 17 is prime:
17 = 17
Since 17 is prime it has an exponent of 1:
Answer: 17 = 17^1
Answer:
(3x - 1)(3x + 1)
Step-by-step explanation:
9x² - 1 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b)
here 9x² = (3x)² ⇒ a = 3x and 1 = 1² ⇒ b = 1, thus
9x² - 1
= (3x)² - 1²
=(3x - 1)(3x + 1) ← in factored form
The length of a rectangle is 2 m greater than the width. The area is 168 m2 Find the length and the width
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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Hi the question is done below pls answer for 60points
Answer:
Scalene Right i would believe!
Step-by-step explanation:
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
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.
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What is 4 divided by 29 in decimal ok
0.13793103448
Just simple long division.
what is 20% of 90? please help please please please
Answer:
18
Step-by-step explanation:
90 times 0.20 = 18
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 90}}{\left( \cfrac{20}{100} \right)90}\implies 18[/tex]