Answer:
x = 9
Step-by-step explanation:
The line splits the sides of the triangle in proportion (the ratios of the pieces is the same for both sides).
Setup:
[tex]\frac{8}{3x+1}=\frac{2}{x-2}[/tex]
"Cross multiply."
[tex]2(3x+1)=8(x-2)\\6x+2=8x-16\\18=2x\\9=x[/tex]
someone please help me answer this!!
433.54 in terms of pi
Answer:
138.0700636942675[tex]\pi[/tex]
Step-by-step explanation:
A textbook store sold a combined total of 402 biology and physics textbooks in a week. The number of physics textbooks
sold was 54 less than the number of biology textbooks sold. How many textbooks of each type were sold?
Number of biology textbooks sold: 0
Number of physics textbooks sold:
0
We have two types of textbooks. Let's use "x" to represent the number of math textbooks and "y" to represent the number of history textbooks.
Altogether, the bookseller sold 240 math and history textbooks. So:
x + y = 240
Now, the number of history textbooks sold was 72 less than the number of math books sold. So:
y = x - 72
Now we can substitute for y in the equation and solve:
x + y = 240
x + (x - 72) = 240
2x - 72 = 240
2x = 312
x = 156
The bookseller sold 156 math textbooks.
Since y = x - 72, he must have sold 84 history textbooks.
Let's check our answers:
x + y = 240
156 + 84 = 240
That is true, so we did get the correct answers.
Dawn is verifying the accuracy of her paycheck. She
earns $14 an hour and works 40 hours each week.
Her biweekly deductions are Social Security 6.2%,
Medicare 1.45%, federal withholding tax $73.25,
state withholding tax $22.50, and health insurance
$37.45. What is her annual net pay if she is paid
biweekly
This is for financial algebra senior year high school. If anyone can help me understand this and please no random links
Answer:
$753.34
Step-by-step explanation:
trust me it is $753.34
(ILL MARK YOU AS BRAINLEST) The ratio of the interior angles of a triangle is 1: 1: 4 What are the angles measures? Write the angel measures from least to greatest.
Answer:
30 degrees,30 degrees120, degrees
Step-by-step explanation:
The ratio of the angles is 1:1:4.
Let’s represent the angles by 1x, 1x, and 4x.
The sum of the interior angles of a triangle is 180°.
1x + 1x +4x = 180 Combine like terms.
6 x = 180 Divide each side by 6
x = 30°
1x=1*30=30 degrees
1x=1*30=30 degrees
4x=4*30=120 desgrees
Answer:
30, 30, 120
Step-by-step explanation:
Basic properties of a triangle:
Triangles have 3 sides.The sum of the interior angles of a triangle will always be equal to 180°.The problem:
Find the angle measuresList them in least to greatestGiven information:The ratio of the angles' values are 1:1:4.To solve:
To solve this type of problem, think of the ratio as a variable, x.The ratio would be x:x:4xGiven that revised information, the sum of the interior angles is 6x.Since the sum of the interior angles of a triangle is 180°, 6x = 180°To find x as an individual value, divide both sides of the equation by 6:- 6x = 180- x = 30 Now, to find the angles' values, use the value of x in the ratio to solve:30 : 30 : 120The values of the ratio are your angles!Finally, list from least to greatest and the question is completely answered!Can someone help me??
Answer:
1) x represents the # of cranes
3x represents the # of cranes * 3 minutes
10 represents the time the centerpiece took
30 is the time limit
2) x[tex]x\geq \frac{20}{3} or 6\frac{2}{3}[/tex]
Btw, i'm not sure which way the signs go since I learned this a while ago.
Step-by-step explanation:
Good Luck!!!
What is the elapsed time between 10:05am 10:51am
46 minutes is the elapsed time :)
Answer:
46 minutes
Step-by-step explanation:
In order to find the time elapsed, you must subtract 10:51 and 10:05 which equals 46 minutes.
The drawing below shows a side view of a picture frame on Mary's desk support 16 4.2 which of the following is the closest to the length of the frame support
Answer:
17 cm
Step-by-step explanation:
Math STAAR Readiness 8 grade Quiz: The drawing below shows a side view of a picture frame on Mary’s desk. Closest to the length of the frame support.
Answer:
17 or D
Step-by-step explanation:
a^2+b^2=c^2
4.2^2+16^2=c^2
17.64+25.6=c^2
c^2=273.64
c=√273.64
c=16.5 which can be rounded up to 17 or D
and I am reviewing for the math staar.
A line passes through the point (6,-4) and has a slope of 3/2 I Write an equation in point-slope form for this line.
Answer:
y-4=3/2(x+4)
Step-by-step explanation:
If you plug the numbers into the equation (y-y1=m(x-x1)), you get y-4=3/2(x+4).
HOPE THIS HELPS
At the time of her grandson's birth, a grandmother deposits $2000 in an account that pays 6.5% compounded monthly. What will be the value of the account at the child's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
Answer:
$41, 863. 50
Step-by-step explanation:
$2000 - 6.5% = $1,993.50
$1,993.50 x 21 = $41, 863. 50
Parallel slope of line x-7y=7
Answer:
The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!
Step-by-step explanation:
x - 7y = 7
-7y = -x + 7
7y = x - 7
y = x/7 - 1
What is its potential energy when compressed by 0.25 m?
a. 1.25 Joules b. 33.33 Joules
c. 8.33 Joules d. 5.0 Joules
The square of a number decreased by ten times the number is negative nine.
Answer:
answers are 1 and 9
Step-by-step explanation:
x² - 10x = -9
x² - 10x + 9 = 0
(x - 9)(x - 1) = 0
x = 9, x = 1
Answer:
Replace key words with variables, numbers, and operations. “A number squared” is a power where the base is the variable and the exponent is 2. “Decreased by ten” means you must subtract 10 from the squared number.
Step-by-step explanation:
hope this helps
from 2005 to 2015, a population of lions decreased by 2% annualy. there were 1500 of this population of likns in 2005. how many lions wew left by 2015
Answer:
30
Step-by-step explanation:
I think that's the answer but if I'm wrong tell me right away I'll try another method.
What is the volume of the rectangular pyramid ?
14 ft
9.5 ft
15 ft
9.5 ft
Step-by-step explanation:
trust in me pls I am serious this is the right answer
Yesterday 27 out of 36 students received an A on the test. What percent of
students received an A?
Mind showing how u solved it?
Answer:
75%
Step-by-step explanation:
[tex] \frac{27}{36} \times 100\%[/tex]
For what values of b will F(x) = logbx be a decreasing function?
Answer:
It is a decreasing function for 0 < b < 1.
Step-by-step explanation:
Logarithm function:
The logarithm function is given by:
[tex]F(x) = \log_{b}{(x)}[/tex]
The base b determines if the function increases or decreases.
For 0 < b < 1, the function decreases.
For b > 1, the function increases.
In this question:
By the definition above, it is a decreasing function for 0 < b < 1.
Please answer this thanks
(●´⌓`●)(●´⌓`●)(●´⌓`●)
Answer:
1) A
2) A
3) D
4) B
5) D
Step-by-step explanation:
__________________________________________________________
FACTS TO KNOW BEFORE SOLVING :-
If any 2 parallel lines are cut by a transversal line , then :-
its corresponding angles on same side [a pair of an interior angle and it's corresponding exterior angle (but not its adjacent exterior angle)] are equal.its alternate interior angles are equal.its alternate exterior angles are equal.__________________________________________________________
Q1)
According to the figure on the right side of the question paper ,
∠2 & ∠8 are interior angles on the same side∠2 = ∠7 (∵ Alternate interior angles are equal)So,
∠7 + ∠8 = 180°
⇒ ∠2 + ∠8 = 180° (∵ ∠2 = ∠7)
Hence , we can conclude that interior angles of same side are supplementary angles. So the correct option is A.
Q2)
According to the figure on the question paper ,
∠5 & ∠3 are exterior angles on the same side∠1 = ∠5 (∵ Corresponding angles are equal)So ,
∠1 + ∠3 = 180°
⇒ ∠5 + ∠3 = 180° (∵ ∠1 = ∠5)
Hence , we can conclude that exterior angles on the same side are supplementary angles. So , the correct option is A.
Q3)
According to the figure , (∠2 , ∠7) & (∠1 , ∠8) are alternate interior angles. But as (∠1 , ∠8) is there as an option , so the correct option is D.
Q4)
According to the figure , m∠1 = 129°.
Also , ∠1 & ∠7 are interior angles on the same side.
⇒ They are supplementary angles.
⇒ ∠1 + ∠7 = 180°
⇒ ∠7 = 180° - 129° = 51°
So , the correct option is B.
Q5)
According to the figure , m∠2 = 3x - 10 and m∠6 = 2x + 20
Also , ∠2 = ∠6 (∵ Corresponding angles are equal)
⇒ 3x - 10 = 2x + 20
⇒ 3x - 2x = 20 + 10
⇒ x = 30
So , ∠2 = 3×30 - 10 = 80° = ∠6 (∵ Corresponding angles are equal)
Hence , the correct option is D.
The square of a number decreased by ten times the number is negative nine.
Answer:
9 OR 1
Step-by-step explanation:
Let the number be x
x² - 10x = -9
x² - 10x + 9=0
a=1
b=-10
c=9
Solve using the quadratic formula
x =9 or 1
What is the equation of the given line in slope-intercept form?
A. Y = 3x - 2
B. Y = -1/3x + 2
C. Y = -3x + 2
D. Y = 3x + 2
Answer:
C
Step-by-step explanation:
slope intercept is y=mx+b
The y-intercept is at 2 so b=2.
The slope is rise/run, equaling -3
so y= -3x+2
concrete representation of point
Answer:
Points in Euclidean geometry
In two-dimensional Euclidean space, a point is represented by an ordered pair (x, y) of numbers, where the first number conventionally represents the horizontal and is often denoted by x, and the second number conventionally represents the vertical and is often denoted by y.
Step-by-step explanation:
Give another real object for the following solid figures. Write your answer in the blank
provided
1. Sphere -
2. Cube -
3. Cylinder -
4. Rectangular Prism -
5. Triangular Prism -
matinong sagot po rereport ko ung di matinong sagot
Answer:
1 bowling ball
2 box
3 can
4 book
5 pyramid
Shipping Box Fish Food 11 ft 37 ft 1 ft 1 ft 3 ft 3 ft
Answer:
Dude post it again lol
Step-by-step explanation:
The picture is so blurry
Need help with this if possible
Answer:
hope it helps...
Step-by-step explanation:
Yo can y'all help a brother out trying to pass.
First image is the answer choices for all the questions
Second Image is the questions.
Answer:
P' (-1,-4) N'(-5,0) U'(-2,1)
Step-by-step explanation:
how to find the range in a dot plot
Answer:
By examining the line plot, we find the number with the maximum number of crosses or occurrences. This gives the mode of the data set. We find the smallest and the largest number from the data set and find their difference and this difference is the range of the given data set.
Step-by-step explanation:
Dmitri wants to cover the top and sides of this box with glass tiles that are 1 cm square. How many tiles
will he need?
8 cm
20 cm
Dmitri will need
18 cm
glass tiles.
9514 1404 393
Answer:
968
Step-by-step explanation:
The area of the top and sides is given by the formula ...
A = LW +2H(L +W)
A = (20 cm)(18 cm) +2(8 cm)(20 cm +18 cm)
A = (360 +16(38)) cm² = 968 cm²
Since the tiles are 1 cm², 968 tiles are needed.
A study of 420,027 cell phone users found that 133 of them developed cancer of the brain or nervous system. Prior to this study of cell phone use, the rate of such cancer was found to be 0.0414% for those not using cell phones. Complete parts (a) and (b). a. Use the sample data to construct a 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system.
Answer: (0.00027144, 0.00036176)
Step-by-step explanation:
The sample proportion of cell phone users who develop cancer of the brain or nervous system = [tex]\dfrac{133}{420027}=0.0003166[/tex]
Sample size : 420027
Confidence interval for p: [tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex]= sample proportion , n= sample size , z* = crirical z value.
For 90% confidence interval , z*= 1.645
Required confidence interval:
[tex]0.0003166\pm (1.645)\sqrt{\dfrac{0.0003166(1-0.0003166)}{420027}}\\\\=0.0003166\pm 0.00004516\\\\=(0.0003166-0.00004516,\ 0.0003166+ 0.00004516)\\\\=(0.00027144, \ 0.00036176)[/tex]
A 90% confidence interval estimate of the percentage of cell phone users who develop cancer of the brain or nervous system = (0.00027144, 0.00036176)
Express the quantity "14 revolutions per second" in radians per second. Write your
answers in terms of a
A. 28n rad/sec
C. 18n rad/sec
B. 52n rad/sec
D. 32n rad/sec
[tex]\huge\red{\mid{\underline{\overline{\textbf{ANSWER}}}\mid}}[/tex]
A).28n rad/sec
Which of the following numbers is equivalent to
√48?
Answer: you forgot attachment
Step-by-step explanation: