Step-by-step explanation:
d = number of dimes
n = number of nickels
q = number of quarters
d + n + q = 500
d×$0.10 + n×$0.05 + q×$0.25 = $72.50
n = d
we are focusing now on one variable (let's try d), and we are transforming the other equations to express the other variable by this one variable.
since n = d we have already
d + d + q = 500
2d + q = 500
q = 500 - 2d
with that we go into the main equation
d×0.10 + d×0.05 + (500 - 2d)×0.25 = 72.50
d×0.15 + (500 - 2d)×0.25 = 72.50
d×0.15 + 500×0.25 - 2d×0.25 = 72.50
d×0.15 + 125 - d×0.50 = 72.50
-d×0.35 = -52.50
d = 52.50/0.35 = 150
n = d = 150
q = 500 - 2d = 500 - 2×150 = 500 - 300 = 200
so, he has 200 quarters.
HELP ME PLEASE
By which rule are these triangles congruent?
A)
MAS
B)
ASA
SAS
D)
SSS
Answer:
I brlive the answer is B.........
Answer:
The answer is C) ASA
Step-by-step explanation:
This triangle is ASA because it has two congruent angles shown in the diagram. All of the other answers have none or one. Therefore, it is ASA.
The number of CRT and LCD monitors in a company are in the ratio 2:5. If the total number of monitors in the company is 49, how many of them are LCD monitors?
Answer:
35 LCD monitors.
Step-by-step explanation:
The ratio is 2:5, which means the total amount of parts is 7 (2 + 5 = 7).
There are 49 monitors in all. Divide 49 with 7:
49/7 = 7
Each part has 7 monitors within. Remember, there are 5 parts of LCD monitors compared to 2 CRT monitors. Multiply 7 with 5:
7 x 5 = 35.
There are 35 LCD monitors, and 14 CRT monitors.
~
Keith buys 3 yards of materials to make a blanket. He trims off a total of 1/6 yards before sewing. How much material remains for the blanket?
The number of yards of material remains sewing blanket is 2.5 yards.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Given that, Keith buys 3 yards of materials to make a blanket.
He trims off a total of 1/6 yards before sewing.
So, 1/6 ×3
= 3/6
= 0.5 yards
Remaining material =3-0.5
= 2.5 yards
Therefore, 2.5 yards of material remain for sewing blanket.
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Please Help
Rotate MAP 90° degrees clockwise about point P. List the new ordered pairs.
Pre Image MAP:
M: (-3, 4)
A: (-7, 7)
P: (-7, -1)
Answer:
M' (-2 , -5), A'(1 , -1), P'(-7 , -1)
Step-by-step explanation:
Rotation clockwise 90° = rotation CCW 270°
Formula for rotation CCW 270° around a point (x',y') for original (x,y)
x'' = (x-x') cos 270° - (y-y') sin 270° + x'
y'' = (x-x') sin 270° + (y-y') cos 270° + y'
cos 270° = 0 and sin 270° = -1
x'' = - (y-y') sin 270° + x' = (y-y') + x'
y'' = (x-x') sin 270° + y' = (x'-x) + y'
M': x = (4 - -1) + (-7) = -2
y = (-7 - -3) + (-1) = -5
A': x = (7 - -1) + (-7) = 1
y = (-7 - -7) + (-1) = -1
check
P': x = (-1 - -1) + (-7) = -7
y = (-7 - -7) + (-1) = -1
-------------------------------------------------
Another way of thinking is to suppose P is (0,0) and locate other points' coordinate relative to P. Such as M(4,5), A(0,8)..
when it rotate CW 90° (x,y) -> (y , -x) will becomes (5 , -4) and (8 , 0). while (5 , -4) relative to p(-7 , -1) is (-7+5 , -1-4) i.e. ( -2 , -5) at original plane and (1 , -1) for point A'
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PLEASE HELP!!!! WILL GIVE BRAINLIEST!!!!
Answer:
85 degrees.
Those two quads are Similar polygons. Just match up the shape and basically do 360 - 110 - 75 - 90 = 85.
Drag the tiles to the correct boxes to complete the pairs.
Match the subtraction expressions to their correct answers.
Answer:
#1- 6 4/9 - 3 2/9 - 8 2/9 = - (6 + 3 + 8 + 4/9 + 2/9 + 2/9) = - (17 + 8/9) = - 17 8/9#2-12.48 - (-2.99) - 5.62 = - (12.48 + 5.62) + 2.99 = - 18.1 + 2.99 = - 15.11#3- 19 2/9 - 4 1/9 - (- 3 4/9) = -23 3/9 + 3 4/9 = - 19 8/9#4-353.92 - (-283.56) - 131.29 = - (353.92 + 131.29 - 283.56) = - 201.65$583 1/5 - 108 2/5 - (- 99 1/5) = 83 1/5 + 99 1/5 - 108 2/5 = 74If x > 0 and y < 0, where is the point (x, y) located?
Answer:
In the forth quadrant, below and to the right of the origin.
x > 0 means it is to the right of the y axis
y < 0 means it is below the x axis.
Step-by-step explanation:
on the y axis
Step-by-step explanation:
thats nice what i think atleast sighhh e
I NEED A 100% ACCURATE ANSWER FOR THIS ASAP NO LINKS !!!
Answer:
it's W=2
Step-by-step explanation:
beacuse you devide both sides!! I hope this helps!!! if not let me know!!!
A point estimate of the percentage of defectives in all manufactured bulbs is_____.
Answer:
inih bagus menurut kamuh inih bagus tidak
A point estimate of the percentage of defectives in all manufactured bulbs is the Sample proportion.
How to find a point estimate of a proportion?
p'= x / n where x is the number of successes and n is the sample size. The variable p is the sample ratio and serves as a point estimate of the true ratio of the population.
Point estimation for population parameters is a single value for statistics. For example, the sample mean x is a point estimate of the population mean μ. Similarly, the sample ratio p is a point estimate of the population ratio P.
The average point estimate for the population is obtained by calculating the average of the samples taken from the population. The average calculation is the sum of all samples divided by the number of values.
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-3x+12<18 please help
Answer:
[tex] - 3x + 12 < 18 \\ - 3x < 18 - 12 \\ - 3x < 6 \\ - x < \frac{6}{3} \\ - x < 2 \\ x > - 2 \\ thank \: you[/tex]
Answer:
x > -2
Step-by-step explanation:
Q. Solve the inequality.
-3x + 12 < 18
Solve for x.
-3x + 12 < 18Step 1:- Move constant to the right hand side and change their sign.
-3x < 18 - 12Step 2:- Subtract.
-3x < -6Step 3:- Divide both side of the inequality by -3 and flip the inequality sign.
x > -2r(t) = < V4-t2, e-3t , In (t +1) >
Answer:
(1,-2)
Step-by-step explanation:
shriya measured four nails using a ruler. then she showed the lenghts on a line plot which line plot correctly shows the lenghts of the nails.
pls help its due tommorow!!
how many irrational numbers are there between 6 and 7 ?
The shorter leg of a right triangle is 14 feet less than the other leg. Find the length of the two legs if the hypotenuse is 34 feet.
Answer:
side a = 30 feet long.and side b = 30-14 = 16 feet long.
Step-by-step explanation:
Right triangle, with sides a, b=a-14 and h=34
By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196
Simplify to get 1156 = 2a2 - 28a + 196
Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0
Divide all terms by 2: a2 -14a - 480 = 0
Use quadratic equation to find that a = 30 or a = -16.
a = -16 will not work.
Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.
Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.Right triangle, with sides a, b=a-14 and h=34
By Pythagorean rule, h2 = 342 = a2 + b2 = a2 + (a-14)2 ==> a2 + a2 - 28a + 196
Simplify to get 1156 = 2a2 - 28a + 196
Subtract 1156 from both sides to get 2a2 - 28a - 960 = 0
Divide all terms by 2: a2 -14a - 480 = 0
Use quadratic equation to find that a = 30 or a = -16.
a = -16 will not work.
Therefore side a = 30 feet long.and side b = 30-14 = 16 feet long.
Check: 302 + 162 = 900+256=1156. SQRT(1156) = 34 feet, the given hypotenuse.
The side length of the other sides is 30 feet and 16 feet if the shorter leg of a right triangle is 14 feet less than the other leg.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
It is given that:
The shorter leg of a right triangle is 14 feet less than the other leg.
From the Pythagoras theorem:
hypotenuse² = perpendicula² + base²
perpendicular = base - 14
34² = (base - 14)² + base²
34² = base² - 28base + 196 + base²
2base² - 28base - 960 = 0
base = 30, -16
side length cannot be negative
base = 30 feet
The length of another leg:
perpendicular = 30 - 14 = 16 feet
Thus, the side length of the other sides is 30 feet and 16 feet if the shorter leg of a right triangle is 14 feet less than the other leg.
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Find the slope of the line.
Answer:
3/4
Step-by-step explanation:
rise/run = 3/4
Solve.
Four times a number is equal to the number increased by 21. Find the number.
The number is
Let x equal the number
Tip: Go step-by-step
4 times a number is translated to... 4x
Is equal to means =
to the number increased by 21 is... x+21
Your equation is: 4x=x+21
Subtract x from both sides
3x=21
Divide three from both sides
x=7
Check!
4(7) = 7+21
28=28!
Correct!
Have a nice day!!
Rewrite in simplest terms: (9x+10y)-(-x+9y)(9x+10y)−(−x+9y)
Answer:
9x + 10y - (-x + 9y) (9x + 10y) + x -9y
Step-by-step explanation:
Given the pay rate, hours worked, tax deductions, and social security deduction, determine the gross earnings, group health insurance (assuming 15% of gross earnings), pension deduction (assuming 6.5% of gross earnings), total deductions, and net pay.
Answer: This person worked 40 hours at a $7.50 rate.
Step-by-step explanation: Given the pay rate, hours worked, tax deductions, and social security deduction, determine the gross earnings, group health insurance (assuming 15% of gross earnings), pension deduction (assuming 6.5% of gross earnings), total deductions, and net pay. This person worked 40 hours at a $7.50 rate.
solve the following problem below
Jessica makes her favorite shade of purple paint by mixing blue paint and red paint in a ratio of 3 : 2
Answer:
In fraction form, it would be 3/2
what is −4 1/3 ÷( −2 3/5)
Answer:
5/3
1.6
Step-by-step explanation:
mixed number from: 1 2/4
Tim ran 3/5 of a trail on Tuesday and then ran a different 2/3 of the trail on Wednesday. How much of the trail had he covered on the two days?
2. If y varies inversely as the square root of x, find the percentage change in y when x is
increased by 21%.
The percentage increase in the value of y due to the increase in x by 21% is 10%
Inverse relationship :
y α 1/√ny = k/√x - - - - - - (1)
Increase in x by 21% = 0.21
y = k/√1+0.21x
y = k/√1.21x
y = k/ 1.1√x - - - (2)
Comparing the (1) and (2)
y has changed from 1 to 1.1
Increase in y = (1.1 - 1) = 0.1
Expressing the increase as a percentage :
0.1 × 100% = 10%
Hence, the percentage increase in y is 10%
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Good afternoon nah I get some help in this question today
Answer:
c
Step-by-step explanation:
c
At Home Depot you can get 30 ornaments for $15 at target you can get 20 ornaments for nine dollars which is a better deal
Answer:
Target
Step-by-step explanation:
Home depot
15 dollars/ 30 ornaments = .50 per ornament
Target
9 dollars/ 20 ornaments =.45 per ornament
Target costs less
Answer:
Target is cheaper .45 each
Home Depot is .50 each
Step-by-step explanation:
What is the answer to the question?
Answer:
the answer is option 4th
Solve for n.
A.
n = 27
B.
n = 9
C.
n = 3
D.
n = 216
Answer:
6
Step-by-step explanation:
n over 81 = 2 over 27 = 27n over 27 = 2×81 over 27 =6
Pt=3x+8and TQ =5x-6 PT=?
write the Quotient for the following 5 1/3 ÷2
Answer:
34
Step-by-step explanation:
51/3/2=51x2/3=102/3=34
5 1/3 divided by 2 is actually 2.6 or 8/3
pls help me adawdasdaw