Solve by factorisation
2x²+3x-20=0
Answer:
x=5/2 x=-4
Step-by-step explanation:
2x^2+3x-20 = (2x-5)*(x+4)
2x-5 = 0 x=5/2
x+4 = 0 x=-4
Answer: X= -4
Step-by-step explanation:
If K is the midpoint of ER, EK = z+5,and ER=4x+2,What is the length of K R?
Answer:
KR = 9
Step-by-step explanation:
If K is the midpoint of ER, then EK = KR and ER = 2(EK).
Given:
ER = 4x + 2EK = x + 5ER = 2(EK)
⇒ 4x + 2 = 2(x + 5)
⇒ 4x + 2 = 2x + 10
⇒ 2x + 2 = 10
⇒ 2x = 8
⇒ x = 4
As EK = KR and EK = x + 5 and x = 4:
⇒ KR = 4 + 5
⇒ KR = 9
KR:-
x+54+59
Perform the following
mathematical operation, and
report the answer to the
correct number of significant
figures.
45.2 x 0.035 =
Answer:
4
Step-by-step explanation:
45.2 x 0.035=1.582
"Significant figures are the number of digits in a value, often a measurement, that contribute to the degree of accuracy of the value. We start counting significant figures at the first non-zero digit." -Khan Academy. org > significant figures
Answer: 1.6 is the answer
Step-by-step explanation:
45.2 x 0.035 = 1.582
After you do that step Then you'll need to round 1.582 up in the tenths, and it should be 1.6!
Hope this helps
Label the missing angle on this window.
Answer:
C
Step-by-step explanation:
Since the angles in a triangle add to 180 degrees, the third angle is 180-70-45=65 degrees
Find the distance between the points.?
Help 40 points!!!
Answer:
34
Step-by-step explanation:
Distance - formula
Answer:
34
Step-by-step explanation:
best to use the formula: √(X1-X2)²+(Y1-Y2)²
(If u want to know why, it's determinated by pithagoras' theory.)
=>√(30-0)²+(16-0)²=√900+256=√1156=34
what is the probability of tossing a coin three times and getting tails each time?
Answer:
1/8
Step-by-step explanation:
This is a compund probability problem. You need to find the probability of each event and then multiply the probabilities together.
The probability of flipping tails is 1/2. We need three of these.
1/2 x 1/2 x 1/2 = 1/8
Five 1/4-2 5/7 needed by 3:30
What does the value 40 in the equation y=7.5+40 represent in the context of this situation?
Answer:
40 is an addend in an addition
40 is the y-intercept if the question really is y = 7.5x + 40.
Step-by-step explanation:
40 is just a number in a sum of 2 numbers.
Perhaps you meant
y = 7.5x + 40
If that is the case, then 40 is the y-intercept.
FAST
Identify the correct weight to the nearest pound.
Answer:
Due to the location of the marker, it is closest to:
C.) 10/16 = 5/8 lb.
Each pound is divided into 16ths since 10 sixths are represented by the marker then the answer would be 10/16.
10 / 16 = 5 / 8
10 divided by 2 = 5
----------------------------
16 divided by 2 = 8
Therefore 10 / 16 = 5 / 8.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Answer:
[tex]\frac{10}{16} =\frac{5}{8}[/tex]
Step-by-step explanation:
My answer is due to, it doesn't use the markers it goes by smaller numeral making me believe it uses the 16th instead of the 8th, also you can see it hits the tick mark for the bigger saying that is settled on making me think that is the answer.
To break it down why the others are not correct the [tex]\frac{4}{8}[/tex] is the mesurent saying it is half which it clearly is not half way. The other is [tex]\frac{7}{8}[/tex] butyou can see the marker is not nearly close enough for it to be almost to a pound. and the last option 1[tex]\frac{5}{8}[/tex] doesn't make sense it seems it would have to be more then a pound.
The sum of two numbers is 30 and their difference is 10. What are the two numbers?
Answer:
20 and 10
These are the only two possible numbers who match those descriptions.
Think carefully about the angle relationship the following represents.
What is the value of ∠JML?
Answer:
<JML=126 degrees, x=42
Step-by-step explanation:
well, something important to note here is that a straight line is allways equal to 180, and you have part of the 180 sitting there on the line being 54 degrees, so all you have to do is do 180-54=126 and that is the measure of <JML, to find x, you just reverse the steps you see, right now 3x=3*x so you want to reverse that and divide 126/3=42.
Angles are supplementary hence their sum is 180°
3x+54=1803x=180-54=126x=126/3x=42So
<JML=3x=126°
Solve for the unknown angle measure θ.
A. θ=112.5
B. θ=120
C. θ=144
D. θ=150
In the given polygon-
>>Two of the angles are of 90⁰
The sum of all angle in n-sided polygon is given by -
[tex]\green{ \underline { \boxed{ \sf{(n-2)\times180}}}}[/tex]
Here number of sides,n = 8
So ,the sum of all angle = [tex]\sf (8-2)\times 180[/tex]
[tex]\sf \implies 6 \times 180[/tex]
[tex]\sf \implies 1080 \degree[/tex]
>>Since two of the angles are of 90⁰ ,let's subtract them from total angle sum to get angles in term of [tex]\theta[/tex] only.
[tex]\implies \sf 1080- 2\times 90[/tex]
[tex]\implies \sf 1080- 180[/tex]
[tex]\implies \sf 900 \degree [/tex]
Now, Sum of remaining 6 angles = 6[tex]\theta[/tex]
Also, 6[tex]\theta[/tex] = 900⁰
[tex]\theta = \dfrac{900}{6}[/tex]
[tex]\theta = 150 \degree[/tex]
Answer:
heya ^^
let's first see what the question says -
so , we're given an octagon and the figure states that two of the angles of the octagon are of measure 90°.
while , rest of the angles have been named [tex] \bold{\theta }[/tex] and this thing clears that all the other angles are of equal measure.
now , angle sum property of octagon states that the sum of all the angles of an octagon equals 1080.
therefore ,
[tex]\bold{90 \degree + 90 \degree + \theta+ \theta+ \theta+ \theta+ \theta+ \theta = 1080 \degree }\\ \\ 180\degree + 6\theta = 1080\degree \\ \\ 6\theta = 1080\degree - 180\degree \\ \\ 6\theta = 900\degree \\ \\ \theta = \frac{900}{6} \\ \\ \underline\bold\pink{\: \theta = 150\degree}[/tex]
therefore ,
option ( D ) θ=150 is correct.
hope helpful :D
The swiss mathematician leonhard euler and the french mathematician rene descartes both discovered a pattern in the numbers of edges, vertices, and faces of polyhedrons. solve problems 810.
Answer:
I am stuck on this two
Step-by-step explanation:
rectangle, 6 8 14 12
The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood floors cost $11 per square foot. What is the cost of hardwood flooring for the dining room?
The cost of the hardwood flooring for the dining room is $
.
Answer:
$3520Step-by-step explanation:
Find the dimensions of dining roomWidth
4*1/4 in = 1 in 1 in ⇒ 1*16 ft = 16 ft, according to scale factorLength
5*1/4 in = 1.25 in1.25 in ⇒ 1.25*16 ft = 20 ftFind the area of dining room A = lw = 16*20 = 320 ft²Find the cost of flooring for the dining room320*11 = 3520Answer:
$3,520
Step-by-step explanation:
If each square has a side length of 1/4 in then the dimensions of the Dining Room in the blueprint are:
Dining Room = (4 × 1/4) x (5 × 1/4) = 1 × 1.25 inThe scale given is 1 in : 16 ft, therefore dimensions of room scaled up:
Dining Room = (1 × 16) x (1.25 × 16) in = 16 × 20 ftTherefore, the area of the Dining Room = 16 × 20 = 320 ft²
Given the hardwood floor costs $11 per ft², to find the total cost of the floor for the dining room:
Total cost = area × cost per ft²
= 320 × $11
= $3,520
Which is the equation of a line that has a slope of -5 and a y-intercept of -3? Show me how you arrived at your answer.
a) 2y = -5x - 3
b) -2y = 10x - 6
c) -2y = 10x + 6
d) 2y = 10x - 6
Answer:
c) -2y = 10x + 6
Step-by-step explanation:
The equation of a line in slope-intercept form is:
[tex]y=mx+b[/tex]
The variables stand for:
[tex]y:$ y-coordinate of any point on the line\\$x:$ x-coordinate of any point on the lien\\$m: $ Slope of the line\\$b: $ y-intercept of the line; where the line meets the y-axis[/tex]
Plugging in the given information into the equation:
[tex]y=-5x+(-3)\\y=-5x-3[/tex]
Go through the answer choices:
a) 2y = -5x - 3
Divide both sides of the equation by 2
[tex]y=-\frac{5}{2}x-\frac{3}{2}\rightarrow\text{Incorrect!}[/tex]
b) -2y = 10x - 6
Divide both sides of the equation by -2
[tex]y=\frac{10}{-2}x-\frac{6}{-2}\\y=-5x-(-3)\\y=-5x+3\rightarrow\text{Incorrect!}[/tex]
c) -2y = 10x + 6
Divide both sides of the equation by -2
[tex]y=\frac{10}{-2}x+\frac{6}{-2}\\y=-5x+(-3)\\y=-5x-3\rightarrow\text{Correct!}[/tex]
d) 2y = 10x - 6
Divide both sides of the equation by 2
[tex]y=\frac{10}{2}x-\frac{6}{2}\\y=5x-3\rightarrow\text{Incorrect!}[/tex]
Therefore the answer is c) -2y = 10x + 6
Additional Comments:
We can only divide both sides of the equation by 2 and/or -2 because of the Division Property of Equality. This property states that if we divide one side of the equation by a certain quantity, we must divide the other side by the same quantity so that the equation remains equal.
33 markers cost $5.79
Which equation would help determine the cost of 13 markers
Answer:
3/$5.79 = 13/x
Step-by-step explanation:
Solve the rational equation by combining expressions and isolating the variable x. Divide $5.79 by three to get the cost of one marker, $1.93. Then multiply the cost of one marker by 13 on the left. This will get the total value which is $25.09.
Find the measure of each exterior angle of the polygon.
What's the area for ABC?
Answer:
14
Step-by-step explanation:
7(length) times 4(height) equals 28
28/2= 14
What is the slope ( it has a slope of -2) (it has a slope of -1) (it has a slope of 2)
Answer:
slope = - 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = ( - 1, 2) ← 2 points on the line
m = [tex]\frac{2-0}{-1-0}[/tex] = [tex]\frac{2}{-1}[/tex] = - 2
Answer:
[tex]slope = -2[/tex]
Step-by-step explanation:
Step 1: Determine two points
We need to take two points off of the equation that is used in thsi graph and we can see that we have (0, 0) and (-1, 2)
Step 2: Determine the slope
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{2 - 0}{-1 - 0}[/tex]
[tex]m = \frac{2}{-1}[/tex]
[tex]m = -2[/tex]
Answer: [tex]slope = -2[/tex]
2x(5x-2)+(3x-0.5)*2=2x+3+10x-5+2x+3
Find X
(give step by step)
Answer:
x = 1.348331477 and 0.148331477
Step-by-step explanation:
TEPS USING THE QUADRATIC FORMULA2x(5x−2)+(3x−0.5)2=2x+3+10x−5+2x+3Use the distributive property to multiply 2x by 5x−2.10x2−4x+(3x−0.5)×2=2x+3+10x−5+2x+3Use the distributive property to multiply 3x−0.5 by 2.10x2−4x+6x−1=2x+3+10x−5+2x+3Combine −4x and 6x to get 2x.10x2+2x−1=2x+3+10x−5+2x+3Combine 2x and 10x to get 12x.10x2+2x−1=12x+3−5+2x+3 Subtract 5 from 3 to get −2.10x2+2x−1=12x−2+2x+3Combine 12x and 2x to get 14x.10x2+2x−1=14x−2+3Add −2 and 3 to get 1.10x2+2x−1=14x+1Subtract 14x from both sides.10x2+2x−1−14x=1Combine 2x and −14x to get −12x.10x2−12x−1=1Subtract 1 from both sides.10x2−12x−1−1=0Subtract 1 from −1 to get −2.10x2−12x−2=0This equation is in standard form: ax2+bx+c=0. Substitute 10 for a, −12 for b, and −2 for c in the quadratic formula, 2a−b±b2−4ac.x=2×10−(−12)±(−12)2−4×10(−2)Square −12.x=2×10−(−12)±144−4×10(−2)Multiply −4 times 10.x=2×10−(−12)±144−40(−2)Multiply −40 times −2.x=2×10−(−12)±144+80Add 144 to 80.x=2×10−(−12)±224Take the square root of 224.x=2×10−(−12)±414The opposite of −12 is 12.x=2×1012±414Multiply 2 times 10.x=2012±414Now solve the equation x=2012±414 when ± is plus. Add 12 to 414.x=20414+12Divide 12+414 by 20.x=514+3Now solve the equation x=2012±414 when ± is minus. Subtract 414from 12.x=2012−414Divide 12−414 by 20.x=53−14The equation is now solved.
x=514+3x=53−14
Rachel's aunt gave her $85 to spend on
school spirit items. Rachel bought 4 pens
for $0.85 each, a hoodie for $45.50, and
5 folders for $2.79 each. How much
money did she have left?
A $22.15
B $19.36
C $62.85
D $35.86
The amount Rachel has left of the amount given to her by her aunt after she makes the purchases is $22.15.
How much does Rachel have left?In order to determine the amount she would have left, determine the total value of the purchases and subtract it from the amount she was given.
Total value of the purchases = (4 x 0.85) + 45.50 + (5 x 2.79) = $62.85
Change = $85 - $62.85 = $22.15
To learn more about addition, please check: https://brainly.com/question/19628082
solve for the variables x and y
Answer:
Step-by-step explanation:
how to compare 10.5 to 11 and 19
Answer:
Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**
Step-by-step explanation:
You need to line each number up.
10.5
11.0
19.0
The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.
This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.
PLEASE ANSWER - BRAINLIEST IF 2 ANSWERS - 5 STAR RATING - THANKS (PROFILE TOO)
Each month, Alex’s cellphone plan costs
$15, plus $0.10 per minute of use.
Which graph could represent Alex’s total
monthly cost?
Answer:
Graph-d
Step-by-step explanation:
We are given that,Each month, Alex’s cellphone plan costs $15 and additional 0.10 per minute of use. The equation that would represent Alex's total monthly costs would be linear equation (equation of a line). Linear equation has the following form:
[tex]y = mx + b[/tex]
in this case,
m represents the cost of Alex's per minute of useb represents the initial costs of Alex's cellphone planm represents the number of minutesy represents the amount of total monthly costSince Alex’s cellphone plan initially costs $15, b would be 15 . Again he has to pay an additional cost of $0.10 per minute of use. hence, m would be 0.10 or ⅒ . Therefore our equation of line is
⇒[tex]y=\dfrac{1}{10}x+15[/tex]In conclusion
Graph d represents Alex’s total monthly cost
p.7 Central Angles and Inscribed Angles
#4 What is the measure, in degrees, of arc JKI ?
4) JKI
80°
K
mJKI =
degrees
Helppp me
Answer:
280°
Step-by-step explanation:
There are 360° in a circle. you are given an arc that is 80°.
To find the arc JKI, subtract 80 from 360.
360 - 80 = 280°
The original price of a computer is $579. which coupon is a better deal?
Save 25% on any computer is the better deal. Then the correct option is A.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A) Save 25% on any computer. Then the better deal will be
→ 579 × 0.25 = $ 144.75
B) Save $150 on any computer. Then the better deal will be
→ $ 150
C) Save $75 plus 5% off on any computer. Then the better deal will be
→ 579 × 0.05 + 75 = $ 103.95
D) Save $50 plus 10% off on any computer. Then the better deal will be
→ 579 × 0.10 + 50 = $ 107.9
More about the percentage link is given below.
https://brainly.com/question/8011401
I need help with this please
Step-by-step explanation:
The answer is class 1!!!!!
The volume of the right circular cylinder is 144 pi cubic yards. of h, the height of the cylinder is 4 yards, what is r, the radius of the base?
A solid box with height 60cm, width 10cm and length 10cm needs to be painted.
The paint costs £0.17 per cm2.
How much will it cost to paint the outside of the box?
Answer:
£442
Step-by-step explanation:
see vid on how to calculate cm² of a box here
Answer:
17cm²
Step-by-step explanation:
area of box =l×w
10cm×10cm=100cm²
0.17×100cm²=17cm²
Help PLEASE find AD and BC
Step-by-step explanation:
so AD=DC and DC=12 so AD=12
the lines AB=BC so 3x+1=2x+6 simplify and get x=5
plug in and get BC=16