Answer:
t + c = 623
t = c + 135
thomas has 379 songs downloaded, and carl has 244
Step-by-step explanation:
togheter they have 623 songs, aka the sum of thomas (t) and carl (c) is 623.
t + c = 623
thomas has 135 more than Carl. so Carl plus 135 is equal to thomas
t = c + 135
now you can solve it:
t + c = 623
(c+135) + c = 623
c + c = 488
2c = 488
c = 244
carl has 244 songs downloaded
t + 244 = 623
t = 379
thomas has 379 songs downloaded
The system of equations represents t + c = 623 and t = c + 135 and Tomas has 379 while Carl has 244 downloaded.
What is the equation?An equation can be defined in numerous ways. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.
As per the given,
Together they have 623 songs downloaded.
t + c = 623
Tomas has 135 more songs downloaded than Carl.
t = c + 135
By substitution,
c + 135 + c = 623
2c = 488
c =244
And , t = 244 + 135 = 379
Hence "The equations in the system show that Tomas has 379 while Carl has 244 downloaded and that t + c = 623 and t = c + 135 are represented".
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Rosa is a secretary. She works Monday to Friday every week. If she worked a total of 44.5
hours this week, and her regular pay is $11.46 per hour, what is Rosa’s regular pay?
Answer:
$509.97 is Rosa's regular pay
How much do I spend if I use $20 off coupon on my purchase of $97.43
Find the area of the shaded segment VB and length of VB
Answer:
Area of length Vb = 25 square units
Area of segment Vb = 26 square units
Step-by-step explanation:
Area of length Vb = theta/360 * 2πr
Area of length Vb = 120/360 * 2*3.14 * 12
Area of length Vb = 1/3 * 75.36
Area of length Vb = 25 square units
Ares of length Vb is 25.1 sq. units
Area of shaded portion = Area of sector VUB - Area of triangle VUB
Area of sector VUB = theta/360 * πr²
Area of sector VUB = 120/360 * 3.14*144
Area of sector VUB = 1/3 * 452.16
Area of sector VUB =150.72
Area of triangle VUB = r²sintheta
Area of sector VUB = = 12²sin 120
Area of sector VUB = = 144(0.8660)
Area of sector VUB = 124.71
Area of the shaded segment = 150.72 - 124.71
Area of the shaded segment = 26.01
Area of the shaded segment = 26 sq. unitsAnswer:
Area of length Vb = 25 square units
Area of segment Vb = 26 square units
Step-by-step explanation:
Area of length Vb = theta/360 * 2πr
Area of length Vb = 120/360 * 2*3.14 * 12
Area of length Vb = 1/3 * 75.36
Area of length Vb = 25 square units
Ares of length Vb is 25.1 sq. units
Area of shaded portion = Area of sector VUB - Area of triangle VUB
Area of sector VUB = theta/360 * πr²
Area of sector VUB = 120/360 * 3.14*144
Area of sector VUB = 1/3 * 452.16
Area of sector VUB =150.72
Area of triangle VUB = r²sintheta
Area of sector VUB = = 12²sin 120
Area of sector VUB = = 144(0.8660)
Area of sector VUB = 124.71
Area of the shaded segment = 150.72 - 124.71
Area of the shaded segment = 26.01
Area of the shaded segment = 26 sq. units
The perimeter of this shape is 92cm.
Find the value of x.
(x + 7)
Step-by-step explanation:
x + 7 = 92
x = 92 - 7
x = 85
The value of x is 85
Does 10+10+10+0=20???
Because it always shows different on calculators
Answer:
No
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
10+10=20
20+10=30
30+0=30
Find the range of the given data below:
7, 10, 12, 11, 12, 10, 11, 13, 17, 13
Ans: 10
Answer: 10
Step-by-step explanation:
Arranged data
7,10,10,11,11,12,12,13,13,17
Range= Highest value - Lowest Vlue
Highest value=17
Lowest value =7
Range=17-7
Range=10
Answer:
[tex]Answer: 10
Step-by-step explanation:
Arranged data
7,10,10,11,11,12,12,13,13,17
Range= Highest value - Lowest Vlue
Highest value=17
Lowest value =7
Range=17-7
Range=10 [/tex]
hope it is helpful to you
An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees? \
Answer:
42 + 42 + z = 180
Step-by-step explanation:
Note that:
Base angles in an isosceles triangle are equal in measure.
The sum of angles in a triangle is 180°.
Thus, the equation would be
42 + 42 + z = 180
Alden has two toys. One toy has a mass of 188 grams, and the other has a mass of 127 grams
whats the rest of the question?
rationalize the denominator and simplify √a + 2√y/√a-2√y
Answer:
[tex]\sqrt{a} + \frac{2\sqrt{ya} }{a} - 2\sqrt{y}[/tex]
Step-by-step explanation:
Simplify each term.
The rationalized and simplified form of the expression (√a + 2√y) / (√a - 2√y) is (a + 4√ay + 4y) / (a - 4y).
To rationalize the denominator and simplify the expression (√a + 2√y) / (√a - 2√y), we can use a technique called rationalizing the denominator.
First, we multiply both the numerator and denominator by the conjugate of the denominator, which is (√a + 2√y). This is done to eliminate the square root in the denominator.
(√a + 2√y) / (√a - 2√y) * (√a + 2√y) / (√a + 2√y)
Expanding the numerator and denominator:
(√a * √a) + (√a * 2√y) + (2√y * √a) + (2√y * 2√y) / ((√a * √a) - (√a * 2√y) + (2√y * √a) - (2√y * 2√y))
Simplifying:
a + 2√ay + 2√ay + 4y / (a - 2√ay + 2√ay - 4y)
Combining like terms:
a + 4√ay + 4y / (a - 4y)
Therefore, the rationalized and simplified form of the expression (√a + 2√y) / (√a - 2√y) is (a + 4√ay + 4y) / (a - 4y).
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for positive acute angles A and B, it is known that cos A=20/29 and sin B=60/61. Find the value of sin(A+B) in simplest form.
Answer:
[tex]sin(A+B) = \frac{1431}{1769}[/tex]
Step-by-step explanation:
sin(A+B) = sinA cosB + cosA sinB ------(1)
[tex]given : cos A = \frac{20}{29}, \ sinB = \frac{60}{61}[/tex]
First we will find sinA and cosB
[tex]We \ know \ sin^2 A + cos^2A = 1\\\\sin^2 A = 1 - cos^2A = 1 - (\frac{20}{29})^{2} = \frac{841-440}{841} = \frac{441}{841}\\\\sinA =\frac{21}{29}[/tex]
[tex]sin^2B +cos^2B = 1\\\\cos^2B = 1 - sin^2B = 1 - (\frac{60}{61})^2 = \frac{3721-3600}{3721} = \frac{121}{3721}\\\\cosB = \frac{11}{61}[/tex]
Substitute all values in (1)
[tex]sin(A+B) =sinAcosB + cosAsinB[/tex]
[tex]=(\frac{21}{29} \times \frac{11}{61} )+ (\frac{20}{29}\times \frac{60}{61})\\\\=\frac{231}{1769} + \frac{1200}{1769}\\\\= \frac{1431}{1769}[/tex]
Someone please help me out!!
Answer:
4/ 5
cos A = AB/ AC
= 24/ 30
= 4/ 5
that is option A
PLEASE HELP ME AT LEAST ONE OF THESE IF YOU KNOW
Step-by-step explanation:
answer of number 5
length=7cm
breadth=9 cm
height=6 cm
volume=?
we know
v =l×b×h
=7×9×6
=378
so, the volume is 378 cm
Answer:
cone, radius is 3^2 x pi x 7/3 = 65.98
Step-by-step explanation:
I’ll give you Brainiest answer
Answer:
J or the last one
Step-by-step explanation:
Other two wouldn't work since -37 is the least and 37% is 0.37 which is less than 0.72
Please help fast answer only if you know or gonna report you
Step-by-step explanation:
a) unsuitable - the precision should have been about 0.030 kg (about an ounce)
b) unsuitable - the stopwatch should have a precision of 0.001 s
c) just about right, although I wouldn't mind it if its precision is of 0.05 mm
d) unsuitable - color matching requires much finer control so I would go with 1/8 cup precision.
Hello may any of you help me with these two equations I’m having a little hard time thank you =10 points
Answer:
a. 10.08
b. 0.0576
Math
Compound probability using a organized list
Answer:
[tex]\huge\boxed{\sf Probability = \frac{3}{8} }[/tex]
Step-by-step explanation:
[tex]\displaystyle Probability = \frac{Number \ of \ codes \ with \ 2 \ 0s}{Total \ number \ of \ codes}[/tex]
According to the fundamental principle of counting, to find the total number of codes, we need to multiply the number of options we have for each digits by the number of digits. Hence, we have two options for each digit ( 1 and 0 ) and we have 4 digits. So,
= 2 * 2 * 2 * 2
= 16 possible codes (Total)
Now, Codes with two zeroes:
= 0101,0011,1100,1010,1001,0110 (Maximum number of codes for 2 0s)
Hence, The probability:
Probability = 6 / 16
Probability = 3 / 8
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807The first number in a pattern is 8. Each following number is found by subtracting 9 from the previous
number
What is the fifth number in the pattern?
Answer:
8,-1,-9,-18,-27,-36
and so on i would think it would be -27
Step-by-step explanation:
Answer:
-28
Step-by-step explanation:
other answer off by one
Maggie has 7 bills, all tens and twenties, that
total $100 in value. Find the number of tens, x, and
the number of twenties, y, that Maggie has.
Answer:
4 tens, 3 twenties
Step-by-step explanation:
4 tens ($40) and 3 ($60) twenties work. I’m sorry I don’t have a formula for it though.
What is the quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation
____ x 10^—
ANSWER ASAP
Answer:
3 x 10^3
Step-by-step explanation:
1.485 / 4.95 = 0.3
10^6 : 10^2 = 10^(6-2) = 10^4
0.3 x 10^4
3 x 10^3
The quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation is 3 x 10^3
How does scientific notations work?The number b shows the order, which is the most important figure for which scientific notation is used. It tells us how much order large or small a value is in powers of 10.
Its value in terms of power of 10 is known, which helps in easy comparison of quantities differing by a large value.
WE need to find the quotient of 1.485 x 10^6 and 4.95 x 10^2 expressed in science notation.
So we have;
1.485 / 4.95 = 0.3
Therefore,
10^6 : 10^2
= 10^(6-2)
= 10^4
Hence, the scientific notation written as;
0.3 x 10^4
= 3 x 10^3
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Solve for the value of e.
pls help
Answer:
44
Step-by-step explanation:
the steps are in the pic above
Solve the expression for a=12 , b=6 and c=3
Answer:
48
Step-by-step explanation:
[tex]a = 12, \ b = 6, \ c = 3\\\\b^2 - c^2 + (a+ b+c) = 6^2 - 3^2 + (12 +6+3) = 36-9+21 = 48[/tex]
Answer:
2-12+(++)
b^{2}-1c^{2}+(a+b+c)
b2−1c2+(a+b+c)
Simplify: 1
Eliminate redundant parentheses
2−12+(++)
b^{2}-1c^{2}+(a+b+c)
b2−1c2+(a+b+c)
2−12+++
b^{2}-1c^{2}+a+b+c
b2−1c2+a+b+c
Solution: 2−12+++
b^{2}-1c^{2}+a+b+c
b2−1c2+a+b+c
This is my first time using Brainly I don't know if I'm doing this correctly.
Answer:
x = -3
Step-by-step explanation:
PLEASE DO WITH STEPS 3, 4 and 5 SOLVE IN RADICAL FORM AND DECIMAL FORM WITH STEPS PLZ WILL MARK AS BRAINLIEST
Answer:
Step-by-step explanation:
3) (21²-6²)½ = 20.1 cm
4) (10²+7²)½ =12.2 cm
5) (6.5²-2.7²)½ = 5.9 cm
please show your work
Answer:
X is equal to 4
A triangle PQR is right angled at R, with PQ=80cm and R=60cm. find QR?
pythagorus theorem
Answer:
Solution given:
A triangle PQR is right angled at R, with hypotenuse{h}PQ=80cm
and
base[b]PR=60cm.
perpendicular [P]= QR
by using Pythagoras law
h²=p²+b²
80²=QR²+60²
QR²=80²-60²
QR=[tex]\sqrt{2800}[/tex]
QR=20[tex]\sqrt{7}[/tex]=52.9=53cm
QR=53cm.
Someone help me answer this pls
Answer:
y>-2x-3
Step-by-step explanation:
I think, not sure.
Daniel has two cats. The larger cat weighs 16.5 lbs. If the smaller cat weighs 60% as much as the larger cat, find the weight of the smaller cat.
Answer:
I'm not sure but if you want the answer download Socratic it will definitely help you find the answer.
Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}
Step-by-step explanation:
Rewrite the expression using only positive exponents. Then, evaluate the expression. 3^{-2}
simplify
[tex] \sqrt{12} [/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\huge\boxed{2\sqrt{3}}[/tex]
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{Simplifying the square root of 12}}\\\\\rightarrow\sqrt{12}\\\\\text{4 can be factored out of 12.}\\\\\rightarrow\sqrt{4(3)}\\\\\text{Two '2's can be factored out of 4.}\\\\\rightarrow\sqrt{2*2*3}\\\\\rightarrow\sqrt{2^2(3)}\\\\\text{Pulling out the terms from under the radical...}\\\\\rightarrow\boxed{2\sqrt{3}}[/tex]
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
A motorboat travels 9 miles downstream (with the current) in 30 minutes. The return trip upstream (against the current) takes 90 minutes.
Given :
A motorboat travels 9 miles downstream (with the current) in 30 minutes.
The return trip upstream (against the current) takes 90 minutes.
To Find :
The speed of stream and motorboat.
Solution :
Let, speed of stream is u and speed of motorboat is v.
Now, we know distance is same in both case.
Distance( downstream ) = speed × time
[tex]9 = ( v +u ) \times 0.5\\\\v + u = 18[/tex]....1)
Distance( upstream ) = speed × time
[tex]9 = ( v- u ) \times 1.5\\\\v-u = 6[/tex]....2)
Solving equation 1 and 2 , we get :
v = 12 miles/hour and u = 6 miles/hour
Hence, this is the required solution.
Answer:
The speed of the stream is 6 mph, and the speed of the boat is 12 mph.
Step-by-step explanation:
Downstream:
9 miles in 30 minutes (0.5 hour).
9 mi / 0.5 h = 18 mph
Upstream:
9 miles in 90 minutes (1.5 h).
9 mi / 1.5 h = 6 mph
Let s = speed of stream.
The speed of the stream adds to the speed of the boat downstream and is subtracted fromt he speed of the boat upstream.
Let speed of boat be b.
b + s = 18
b - s = 6
Add the equations.
2b = 24
b = 12
b + s = 18
12 + s = 18
s = 6
The speed of the stream is 6 mph, and the speed of the boat is 12 mph.