Answer:
[tex]\tt x=-2[/tex]
Step-by-step explanation:
[tex]\tt -3(x + 5) = -9[/tex]
Step (1) :- Distribute
[tex]\tt -3x-15=-9[/tex]
Step (2) :- Add 15 to both sides
[tex]\tt -3x-15+15=-9+15[/tex]
Step (3) :- Simplify
[tex]\tt -3x=6[/tex]
Step (4) :- Divide both sides by -3:-
[tex]\tt \cfrac{-3x}{-3}=\cfrac{6}{-3}[/tex]
[tex]\tt x=-2\;\; \bf Answer[/tex]
____
[tex] \sf:\implies \quad {\pmb{\sf x = -2}} [/tex]
Solution:Let's solve the given problem step by step :
[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]
First, distribute the given problem :
[tex]:\implies \quad \sf - 3(x + 5) = - 9[/tex]
[tex] \sf:\implies \quad - (3 \times x) - (3 \times 5) = - 9[/tex]
Add 15 to both sides :
[tex] \sf:\implies \quad - 3x - 15 = - 9[/tex]
[tex] \sf:\implies \quad - 3x - 15 + 15 = - 9 + 15[/tex]
On simplifying :
[tex] \sf:\implies \quad -3x-15+15 = -9+15[/tex]
[tex] \sf:\implies \quad - 3x = 6[/tex]
Dividing both sides with same factor :
[tex] \sf:\implies \quad - 3x = 6[/tex]
[tex] \sf:\implies \quad \dfrac{ - 3x}{ - 3} = \dfrac{6}{ - 3} [/tex]
[tex] \sf:\implies \boxed{ \pmb{ \sf\quad x = - 2}}[/tex]
Find the distance between (−3, 8) and (4, 1). Round your answer to the nearest tenth.
In distance units.
GIVING TONS OF BRAINIEST!!
Answer:
[tex]7\sqrt{2}[/tex] to the nearest tenth would be, 9.9
Step-by-step explanation:
Use distance formula:
(-3-4)^2 + (8-1)^2 all under square root.
49 + 49
[tex]\sqrt{98\\[/tex]
Which simplifies to 7[tex]\sqrt{2\\}[/tex]
Hope this helps,
Feel free to mark this brainliest! :)
the answer is 5.099 rounded too 5.1
find the area of a circle with a radius of 10 centimeters. use 3.14 for pie
Answer:
Formula for area of a circle is [tex]\pi[/tex][tex]r^{2}[/tex]
10 squared is 100cm. 100cm*3.14 equals 314cm.
The area of the circle is [tex]314cm^{2}[/tex]
a scientist plans to study exotic birds in the rain forest. the helicopter flight to and from the rain forest costs$499. supplies costs $122 for each day. how many days can the scientist spend in the rain forest on $1,283 budget ?
Answer:
The scientist would be able to go to the rain forest for only 2 days.
Step-by-step explanation:
The scientist only has 1,283. You subtract 1,283 by 122 and 499 and you are left with 662. The scientist wants to go to the rain forest again so he spends 122 and 499 with 662. All he has left now is 41. He can't afford it anymore.
Which of the following statements about AB and AC is true?
C44)
A(-11)
-5
3
3 4 5
BIO4)
A. AB and AC are the same length
B. AC is longer than AB
OC. AB is longer than AC.
D. AC is 6 units lona.
PREVIOUS
Answer:
C. AB is longer than AC
Step-by-step explanation:
Using the distance formula, find the lengths of both AC and AB.
d=√((x_2-x_1)²+(y_2-y_1)²)
PLEASE HELP. WILL GIVE BRAINLIEST !! Find the cross product <-1, -3, -8> x <7,4, -5>. Is the resulting vector perpendicular to the given vectors?
<47, -61, 71>; yes
<41, -59, 77>; no
<-59, 71, 41>; yes
<41, -61, -59>; no
Answer:
Answer:
The cross product is 47 i - 61 j + 17 k.
Step-by-step explanation:
Given that-
a = < -1, -3, -8 > , b = < 7, 4, -5 >
The cross product is
a × b =\begin{gathered}\left[\begin{array}{ccc}i&j&k\\-1&-3&-8\\7&4&-5\end{array}\right]\end{gathered}⎣⎢⎡i−17j−34k−8−5⎦⎥⎤
= i ( - 3 × -5 - 4 × -8 ) - j ( -1 × -5 - (-8) × 7 ) + k ( -1 × 4 - 7 × -3 )
= i ( 15 + 32 ) -j ×( 5 + 56 ) + k ( -4 + 21 )
= i ( 47) - j (61 ) + k (17)
= 47 i -61 j + 17 k
As we know that if two vectors A & B are perpendicular then
A . B = 0
So here only the given vector b = < 7,4, -5> is perpendicular to the resulting vector .
Step-by-step explanation:
47, -61, 71>; yes
A rectangle that measures 1 foot by 5 feet.
What is the perimeter of the rectangle?
5 feet
6 feet
12 feet
36 feet
Answer:
C. 12 feet
Step-by-step explanation:
If a rectangle measures 1 foot by 5 feet, that means that one side is 1 foot and one side is 5 feet. Since a rectangle has two sets of parallel sides, the other sides of the rectangle will also measure 1 foot by 5 feet.
Adding all of the side lengths will give us the perimeter.
1 + 5 + 1 + 5 = 12
hope this helps :)
Help me please. What is (2a+8) + (4a +5)
Answer:
6a + 13
Step-by-step explanation:
2a + 4a = 6a
8 + 5 = 13
6a + 13
Answer: 6a+13
Step-by-step explanation:
2a+8+4a+5
2a+13+4a
now combine like terms:
2a+13+4a=
6a+13
A family of 6 is going to the fair. They have a coupon for $2.50 off each ticket. If they pay $96 for all their tickets, and each ticket costs the same amount, how much does a ticket, t, cost without the coupon?
Answer:
6x=46.50
Step-by-step explanation:
The concert center sold 11,900 tickets this year, which was 40% more than last year. How many tickets
were sold last year?
Answer:
7140
Step-by-step explanation:
Hey there!
This is the correct answer because First, you need to calculate what is 40% of 11900 which is 4760, and then subtract it from 11900.
Finally you would end up with 7140
) What is the slope and y-intercept of this line?
y = –4x + 7
Question 8 options:
slope: 4, y-intercept: –7
slope: –4, y-intercept: 7
slope: 7, y-intercept: –4
slope: -7, y-intercept: -4
Answer:
slope: -4 y intercept 7
Step-by-step explanation:
when using the formula y=mx+b
The slope is the fraction for m -4/1 or -4.
The y intercept is 7 and thats where the graoh starts.
Answer: slope: -4, y-intercept: 7
Step-by-step explanation: I just took the test :)
pls help me to answer this
Answer:
225
135
450
270
6750
all the answers
HELP! Amber was asked to solve the following inequality and show all of her work. She made an error when solving.
2x − 3.5 ≥ 10.5
2x − 3.5 − 3.5 ≥ 10.5 − 3.5
2x ≥ 7
2x ≥ 7(2)
x ≥ 14
- A description of what Amber did wrong and what he should have done instead
- Your work solving the inequality
Amber did wrong at the second and third step : She completely simplify both sides but she has to minus 3.5 twice on the left side in order to do so. But instead, she just make them gone.
Work :
[tex]2x-3.5\geq 10.5 - > 2x\geq 14 - > x\geq 7[/tex]
A circle with center O(3,3)O(3,3) contains the point A(-1,14)A(−1,14).
Write a subtraction expression for each length OF AB and ABAB:
The equation for the subtraction of length of AB is -3-(-14)
How to calculate the distance between two points:The distance between two points is the measure of the distance covered by an object.
From the given diagram, we are to find the distance between the point A and B. Since the x-coordinate are equal, hence:
AB = y2 - y1
AB= -3 - (-14)
AB = 11 units
Hence the equation for the subtraction of length of AB is -3-(-14)
Learn more on distance here: https://brainly.com/question/24775607
Please help MATH!!!!!?
Answer:
A, C
Step-by-step explanation:
A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $327.50. The second order was for bushes and 2 trees, and totaled $142.96. Sam tried to use system of equation to solve the problem, if b represents brushes and t represent trees which system can Sam use
A
13b + 4t =327.50
6b + 2t = 142.96
B
13b + 2t =327.50
6b + 4t =142.96
C
13b + 4t = 142.96
6b + 2t = 327.50
D
4b + 13t = 327.50
2b + 6t = 142.96
The system of equations that Sam can use is given by:
A 13b + 4t =327.50, 6b + 2t = 142.96
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
Variable b: Cost of a bush.Variable t: Cost of a tree.The first order was for 13 bushes and 4 trees, and totaled $327.50, hence:
13b + 4t = 327.50.
The second order was for 6 bushes and 2 trees, and totaled $142.96, hence:
6b + 2t = 142.96.
Which means that option A is correct.
More can be learned about a system of equations at https://brainly.com/question/24342899
x^4+ 4x² – 45 =0
factored form (x² - 5)(x² +9)=0
does anyone know how to solve this?
Answer:
[tex]( {x}^{2} - 5)( {x}^{2} + 9) = 0 \\ {x}^{2} - 5 = 0 \: \: \: \: \: \: \: \: {x}^{2} + 9 = 0 \\ {x}^{2} = 5 \: \: \: \: \: \: \: \: {x}^{2} = - 9 \\ x = \sqrt{5} \: \: \: \: \: \: \: \: x = \sqrt{ - 9} [/tex]
WILL GIVE BRAINLIEST
What is a basic definition of wind?
Question 4 options:
Air that is moving below 60 mph.
Air that is moving above 15 mph.
Air that s moving primarily in a vertical direction.
Air that is moving primarily in a horizontal direction.
Answer:
Air that is moving primarily in a horizontal direction.
Answer:
Wind is the movement of air horizontally.
A college student was offered two different summer jobs. Job A would last 20 weeks and pay $300
per week with weekly raises of $10. Job B would last 5 months and pay $1200 per month, with monthly
raises of 10% of the previous month's salary. How much more would the college student earn by
accepting Job A?
Answer:
600yan lang po thank you
Answer:
$574
Step-by-step explanation:
[tex]\begin{aligned}\text { week } 1=w_{1} &=300 \\w_{2} &=300+10=310 \\w_{3} &=310+10=320=300+2 \times(10)\end{aligned}[/tex]
It’s obvious here that we add 10 each time to get the next week’s payment so we Are dealing an arithmetic sequence where its first term is 300 and its
Common difference is 10
Then In the twentieth week the payment will be :
[tex]\begin{aligned}W_{20} &=w_{1}+(20-1) \times(10) \\&=300+19 \times(10) \\&=490\end{aligned}[/tex]
Now we apply the formula for the sum of Consecutives terms of an arithmetic sequence :
[tex]\begin{aligned}S_{1} &=20 \times\left(\frac{w_{1}+w_{20}}{2}\right) \\&=20 \times\left(\frac{300+490}{2}\right) \\&=7900\end{aligned}[/tex]
Now let move on to Job B:
[tex]\\\\\begin{aligned}\text { month1 }=& m_{1}=1200 \\m_{2} &=1200+1200 \times \frac{10}{100}=1200 \times(1,1)=1320 \\m_{3} &=m_{2} \times(1,1)=\left[m_{1} \times(1,1)\right] \times(1,1)=m_{1} \times(1,1)^{2} \\m_{4} &=m_{1} \times(1,1)^{3} \\m_{5} &=m_{1} \times(1,1)^{4}\end{aligned}[/tex]
It’s obvious here that we multiply by (1.1) each time to get the next month’s payment so we Are dealing a geometric sequence where its first term is 1200 and its Common ratio is 1.1
Now we apply the formula for the sum of Consecutives terms of an geometric sequence :
[tex]\begin{array}{l}S_{2}=m_{1} \times\left(\frac{1-1,1^{5}}{1-1,1}\right) \\\approx 7326\end{array}[/tex]
Finally we can say confidently say that he would earn more :
7900 - 7326 = $574.
Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce?A. Sue
B. They paid the same amount per ounce.
C. Sarah
(Will mark brainliest and pls fast)
Answer:
The answer is Sue or B
Step-by-step explanation:
Sue Paid : 0.12 per ounce when divided
Sarah Paid 0.13 per ounce when divided
Answer:
C, Sarah paid less
Step-by-step explanation:
3.84/32 = 0.12
5.20/40 = 0.13
Sarah paid less per ounce.
True or False: In a pooled sample proportion, two samples are combined to estimate this single p instead of estimating p1 and p2 separately.
The pooled sample proportion requires two samples combined to estimate the single p instead of estimating p1 and p2 separately. Therefore, it's true.
What is a pooled sample?It should be noted that the pooled sample of a proportion is the weighted average of the proportion from the two samples.
In this case, the combined pool sample is called the poooled sample proportion and it's used in expression of the standard error.
In conclusion, the correct option is true.
Learn more about sampling on:
https://brainly.com/question/24466382
Calculatep the perimeter of the figure
Answer:
76 m
Sorry if this answer is not correct, if it is or is not, please tell me in the comments!
Step-by-step explanation:
First of all, we know all of the sides already except for two, so we need to find them. (The side on the very left and top).
The side on the very top is 18 since the top and bottom are the same lengths. This also implies to the side on the very left. The sides (4+4+4) is equivalent to the side we are trying to find. We now know it is 12.
Second, to find the perimeter of almost every shape, we add all of the sides together.
18+4+8+4+8+4+18+12
This gives the answer of 76 m. (don't forget the label!)
I need help on number 16 these instructions say to solve these equations by cross multiplying
Answer:
15. x = 4
16. a = 19
Step-by-step explanation:
"Cross multiply" essentially means "multiply both sides of the equation by the product of the denominators."
__
15.[tex]\dfrac{x}{6}=\dfrac{2}{3}\\\\3(x)=6(2)\qquad\text{"cross multiply"}\\\\\boxed{x=4}\qquad\text{divide by 3}[/tex]
This is an example of a problem in which cross-multiplying introduces the need for an extra step: divide by 3. Had we simply multiplied by the denominator of the x-term, we would have been finished in one step:
x = 6(2/3) = 4
That is, rather than multiplying by the product of the denominators, sometimes the problem can be solved more easily if you multiply by their least common multiple.
__
16.[tex]\dfrac{a+1}{a+5}=\dfrac{a-4}{a-1}\\\\(a-1)(a+1)=(a+5)(a-4)\qquad\text{"cross multiply"}\\\\a^2-1=a^2+a-20\qquad\text{simplify}\\\\\boxed{19=a}\qquad\text{add $20-a^2$}[/tex]
Determine the perimeter
Answer:
139
Step-by-step explanation:
14+14+28+33+33+17 = 139
Answer: 150 feet
Step-by-step explanation:
bottom blank = top sides added
bottom blank = 14 + 33 = 47
missing right piece is left side and right side subtracted
missing right piece = 28 - 17 = 11
add all sides
28 + 14 + 11 + 33 + 17 +47 = 150
150 feet = perimeter
=
2) Solve the system 2x + 5y = 7 and 3x + 4y = 6 by elimination. Which
procedure produces opposite terms to eliminate x? Include proper
justification
Explain step by step
Answer:
I'd times the first equation by 3 and the second equation by 2. Giving:
6x + 15y = 21
6x + 8y = 12
then I'd subtract the second from the first
6x-6x + 15y-8y = 21-12
7y = 9
y = 7/9
then sub y into one of the equations and solve for x.
Answer:
Step-by-step explanation:
Solving simultanius equation by elimination
2x + 5y = 7 -------------(I)
3x + 4y = 6 ---------------(II)
To eliminate x, multiply equation (I) by (-3) and equation (II) by 2. Then add the two equations. Now, 'x' will be eliminated and we can find the value of 'y'.
(I) *(-3) -6x - 15y = -21
(II)*2 6x + 8y = 12 {Now add}
- 7y = -9
y = -9/-7
y = 9/7
The point B is at the centre of the circle. The points P and Q are on the circumference of the circle. Calculate the area of the shaded sector. Take it to be 3.142 in your working. Give your final answer to 1 decimal place.
Answer: 24.7 square cm
Step-by-step explanation:
3.873... express in p/q form
Find the volume of the rectangular prism
Answer:
336
Step-by-step explanation:
V=whl=8·7·6=336
In a times table test, Mr. Dolan's students score 21, 25, 17, 23, 25, 21, 27, 21, and 18 out of a total of 35. Find the measures of center and then type a numerical answer only in spaces below. mean = median = mode =
The measures of center of the students score are:
Mean = 22
Median = 21
Mode = 21
What are Measures of Center?Measures of center of a data distribution are the mean, median, and mode.
Given the data, 21, 25, 17, 23, 25, 21, 27, 21, 18:
Mean = sum of all data values / number of data values = 198/9 = 22
Median = the middle value in the ordered data set = 21
Mode = the most appeared data value = 21 (appeared 3 times)
Learn more about the measures of center on:
https://brainly.com/question/1378589
If x is directly proportional to y, and x = 4.5 when y = 3, find
(i) an equation connecting x and y
(ii) the value of x when y = 6,
(iii) the value of y when x = 12.
Answer:
1. don't know what you want for the first one but..
2. x=9
3. y= 8
Step-by-step explanation:
x = 1.5y
ex y=2 x=2
pls help, photo below. will give brainliest