Side XY is of length 11b .
Side XZ is of length 2a+3b.
Side YZ is of length a The triangle is isosceles, with XY=XZ
The perimeter of the triangle is 91. Use algebra to find the values of a and b.
Answers
Answer:
a = 14, b = 3.5
Step-by-step explanation:
XZ = XY , then
2a + 3b = 11b ( subtract 3b from both sides )
2a = 8b ( divide both sides by 2 )
a = 4b
The perimeter is 91 , so
11b +2a + 3b + a = 91
14b + 3a = 91 ← substitute a = 4b
14b + 3(4b) = 91
14b + 12b = 91
26b = 91 ( divide both sides by 26 )
b = 3.5
and a = 4b = 4 × 3.5 = 14
Related Questions
(b) simplify (5ab^2)^2
Answers
Explanation:
(5ab^2)^2
= 25a^2b^4
Answer:
[tex] (5 {ab}^{2} ) {}^{2} \\ = ( {5}^{2} )( {a}^{2} )( {b}^{2} ) {}^{2} \\ { \boxed{= 25 {a}^{2} {b}^{4} }}[/tex]
need help please answer
Answers
the line y=mx+7 is perpendicular to the line y=3/4x-9. what is the value of m?
Answers
Answer:
-4/3
Step-by-step explanation:
In y=mx+b, m represents the slope. In the second line, we are multiplying x by (3/4). This represents the slope of the second line.
To find the slope of a perpendicular line, we take the negative reciprocal of the current slope. In the first line, m represents the slope. The reciprocal of 3/4 is 4/3, and the negative reciprocal of 3/4 is -4/3. This is the value of m
2
Stuart uses 3 of a cup of sugar for a recipe. How many cups of sugar are needed for 7 recipes?
Express the amount as a mixed number.
cups
Blank 1:
Blank 2:
Answers
Answer:
Blank1=4 blank2=2\3
Step-by-step explanation:
2\3 for 1 recipe
For 7 recipe = 7 x 2\3
= 14\2 x 2\3 -> take out the 2
14\3 = 14 divided by 3 is 4 with remainder of 2
So, 4 2\3
Which decimal is closest to the dot marked on the number line?
Answers
Find the missing angle.
Answers
Answer:
Your answer is K= 60
I hope it's helps you
Use the distributive property to remove the parentheses.
-7(v– 3y-6)
Answers
Answer:
-7v+21y+42
Step-by-step explanation:
For what value(s) of x is f(x)=3?
Answers
Answer:
D
Step-by-step explanation:
Remember that for this kind of question, when f(x) is given as 3, then 3 is the y value of the point. So you must have a point whose value is (x,3)
There is only one point that does that. x = - 2
The answer is D
Two cars start at the same point. One travels north at 65 km/h and the other travels east at 50 km/h. How far are they apart after 30 minutes?
Answers
Answer:
they travel 115 km/h long
HELP PLEASSSEEE!!!???
(1 point) An advertiser goes to a printer and is charged $40 for 60 copies of one flyer and $50 for 170 copies of another
flyer. The printer charges a fixed setup cost plus a charge for every copy of single-page flyers. Find a function that
describes the cost of a printing job, if x is the number of copies made. C(2) =
HELPPPPPP PLEASSSEEE!!!
Answers
9514 1404 393
Answer:
C(x) = x/11 + 34 6/11
Step-by-step explanation:
The two given points are (x, C) = (60, 40) and (170, 50). These can be used in the 2-point form of the equation for a line to find the cost function.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (50 -40)/(170 -60)(x -60) +40
y = (1/11)(x -60) +40
C(x) = 1/11x +34 6/11 . . . . . . cost as a function of copies made
I have picture of it
Answers
Answer:
basically multiply the prices by how much they filled up. That should give the answer.
Step-by-step explanation:
9. A line contains L(-4,-4) and M(2, 3). Line q is in
the same coordinate plane but does not intersect IM.
Line q contains point N.
Answers
don't know hahahahahahahau
A property sells for $140,000 two years after it was purchased. If the annual appreciation rate is 6%, how much did the original buyer pay for it?
Answers
Answer:
$123,200
Step-by-step explanation:
0.06 x 2 = 0.12
140,000 x 0.12 = 16,800
140,000 - 16,800 = 123,200
The original buyer paid the amount of $123,200 for the property.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The property appreciated by 6% per year, so in two years it would have appreciated by 6% × 2 years = 12%.
Once we know the total appreciation, we can subtract that value from 100% to find the original purchase price as a percentage of the final sale price.
If the property appreciated by 12%, then the original purchase price must have been 100% - 12% = 88% of the final sale price.
Now, multiply the final sale price by the original purchase price as a percentage to find the original purchase price.
So, the original buyer paid the amount = 88% × $140,000 = $123,200
Therefore, the original purchase price was $123,200.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
Mathematics question. Please help
Answers
Step-by-step explanation:
Look at the table in picture above the result of table is true for all values so it is called tautology.
And there is a mistake in row 1.
Note:if you need to ask any question please let me know.
Is 10 irrational or rational
Answers
Answer:
Rational
Step-by-step explanation:
An irrational number is a number that goes on forever, such as pi. These numbers have infinite decimals.
In contrast, a rational number is a number that can be created by dividing two other integers.
These numbers do not go on forever.
10 is a rational number because it can be created by dividing 2 other integers, and it does not go on forever.
A railway engine is of mass 72tonnes and 11m long. An exact scale model is made of it and is 44cm long. find the mass of the model
Answers
Answer:
it is correct
Step-by-step explanation:
2000 N
The resistance force acting is 1N per ton.
Tension in the coupling between engine and the wagon is 2000N.
Answer:
46 will be converted to .44m
x will be the mass of the 44 cm engine
x/72 = .44^3/11^3
x/72 = 0.085/1331
cross multiply
1331x = 72 x 0.085
1331x = 6.12
x= 6.12/1331
=0.004598
x = 0.004598 tonnes
change to kilograms
0.004598*1000 = 4.6 kg
PLssssssss helppppppppppppppppppppppp
Answers
Answer:
6 ft
Step-by-step explanation:
What is the product?
(-202+5)(502-65)
O-1004+17025-652
-1004+170452-652
0-1004-7029-682
0-1004 +1702S+682
Answers
9514 1404 393
Answer:
(a) -10d^4 +17d^2s -6s^2
Step-by-step explanation:
Use the distributive property to eliminate parentheses, then collect terms.
[tex](-2d^2+s)(5d^2-6s)=-2d^2(5d^2-6s)+s(5d^2-6s)\\\\=(-2d^2)(5d^2) +(-2d^2)(-6s)+s(5d^2)+s(-6s)\\\\=-10d^4+12d^2s+5d^2s-6s^2\\\\=\boxed{-10d^4+17d^2s-6s^2}[/tex]
The diameter of a circle is 19 7/8". What is the circumference (to 2 decimal places)?
Please note:
C = πd
Answers
Answer:
62.41
Step-by-step explanation:
19 7/8= 19.875
C= pie x d
C= 3.14 x 19.875
C= 62.4075
C= 62.41 (if you want 2 decimal places)
a meayerologist at television station reported that a town received 0.90 inches of rain. Which fraction is equivalent to this amount of rain in inches?
Answers
Answer:
9/10
Step-by-step explanation:
0.9 = 90/100 9/10
0.90 is the same as 90/100
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
You have 32Tbsp of peppercorns. You need 0.25tsp to make one serving of beef brisket. How many servings can you make?
Answers
Answer:
128 servings
Step-by-step explanation:
Answer is 128
Mary has $100. She spends $150. What is her balance?
Answers
Answer:
is this right question ❓
If other factors are held constant, how does sample size influence the likelihood of rejecting the null hypothesis and measures of effect size such as r^2 and Cohen's d?A) A larger sample increases both the likelihood and measures of effect size.B) A larger sample increases the likelihood but has little influence on measures of effect size.C) A larger sample decreases the likelihood but has little influence on measures of effect size.D) A larger sample decreases both the likelihood and measures of effect size.
Answers
Answer:
2000
Step-by-step explanation:
Wastewater is filling barrels at the rate of 11 quarts per hour. The recycling facility picks up 120 full barrels on each trip, and each barrel holds 12 quarts of wastewater. How many days are between each pickup?
Answers
Answer:
There are 6 days between each pick up days.
Step-by-step explanation:
Ronnie sales wooden toothpicks it cost him $.10 to make a box of toothpicks he charges $1.20 per box toothpicks how many toothpicks does he need to sell to profit $1000
Answers
Answer:
910 boxes of toothpicks
Step-by-step explanation:
Create an equation to represent the situation, and let x represent the number of boxes of toothpicks.
1.20x - 0.1x = 1000
1.1x = 1000
x = 909.09
Round up to the nearest whole number:
= 910
So, Ronnie would have to sell 910 boxes of toothpicks to profit $1000.
32 to nearest houndred
Answers
Tenth - 30
A falcon flies 300 kilometers per hour. A goose flies 140 kilometers per hour. If a falcon and a goose each fly for 2 hours, how many more kilometers will a falcon fly?
Answers
Answer:
320
Step-by-step explanation:
Distance covered by falcon in 2 hours=300*2=600 km
Distance covered by goose in 2 hours=140*2=280 km.
Falcon flew 600-280=320 km more than goose
Saji swims 1/3 mi every day. One day he had already swum 1/5 mi. How much further should he swim?
Answers
9514 1404 393
Answer:
2/15 mi
Step-by-step explanation:
The difference of two fractions can always be computed using the pattern ...
[tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bd}{bd}[/tex]
Using this pattern to find the difference of 1/3 and 1/5, we see it is ...
1/3 -1/5 = (5 -3)/(3·5) = 2/15
Saji must swim 2/15 miles further to complete his 1/3 mile swim.
x/5=13
how do you solve for x
Answers
Answer:
X=65
Step-by-step explanation:
X/5=13
X=13×5
=65
hope it helps!!!
Draw a line segment of length 6.4 cm and divide it in to 4 equal parts. Write the length of each part. (Draw clearly)
Answers
Answer:
The line drawn has a length of 6.4 cm.
Also it is divided into 4 equal parts.
Hence let the measure of the each equal part be ' x '
So x * 4 parts = 6.4 cm
=> x = 6.4 cm / 4
=> x = 1.6 cm
Hence the measure of each equal part is 1.6 cm.
Hence solved !
Step-by-step explanation: