If Maura made $142 at her waitressing job. $67 was tips, and the rest was her regular rate of $10 per hour then she worked for 7.5 hours.
The total amount she made is the sum of her tips and her regular rate:
Total Earnings = Tips + Regular Rate
Given that:
Tips = $67
Regular Rate = $10 per hour
Total Earnings = $142
We can set up the equation:
142 = 67 + 10h
Now, solve for "h" (the number of hours Maura worked):
10h = 142 - 67
10h = 75
h = 75 / 10
h = 7.5
Hence, Maura worked for 7.5 hours yesterday.
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Help!!!! Jack walked 3 1/3 miles in 4/3 hours. If he walked at a constant rate, how far did he walk in 15 minutes?
Answer: I think the answer is 0.625 miles.
Step-by-step explanation:in the picture
Rationalise 10/√7-√2
[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]
[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
( Decimal: [tex]2.36543...[/tex])
Steps:
1: Convert element to fraction.
[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]
[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
2: Since denominator are equal, combine the fractions.
[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]
[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]
-----------------------
[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]
[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]
Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]
[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]
Find the x-coordinate where the graph of the function f of x equals e raised to the power of negative 1 times x squared has a slope of 0.
0
negative square root of 2
the square root of 2
the square root of 2 over 2
Answer:
The square root of 2 over 2
Step-by-step explanation:
I don't understand this!!!
Answer:
6 more times
Step-by-step explanation:
trust :)
Margo borrows $1100, agreeing to pay it back with 6% annual interest after 6 months. How much interest will she pay?
Answer:
I'm guessing you mean 1% annual interest per month, so she would have to pay 11 dollars each month meaning she will pay 66 dollars in interest.
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
marking people brainliest for random LOL comment if you wanna be marked brainliest
LOL, i really need points.
Pythagorean theorem digital escape can you find the length and area and type the correct code?
The length of TU in the right triangle is 156.15 m.
The area of the rectangle is 12335.85 m²
The length of GH in the right triangle is 182.33 m
The area of the triangle is 8934.17 m²
Right angle triangleRight angle triangle are triangle that has one of its angle as 90 degrees. The sides of the triangle can be found using Pythagoras theorem. Therefore, using Pythagoras theorem,
TU² = 175² - 79²
TU² = 30625 - 6241
TU² = 24384
TU = √24384
TU = 156.153770368
TU = 156.15 m
area of rectangle = lw
area of rectangle = 156.15 × 79
area of rectangle = 12335.85 m²
GH² = 207² - 98²
GH² = 42849 - 9604
GH² = 33245
GH = √33245
GH = 182.33211456
GH = 182.33 m
Area of the triangle = 1 / 2 bh
Area of the triangle = 1 / 2 × 98 × 182.33
Area of the triangle = 17868.34 / 2
Area of the triangle = 8934.17 m²
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What is the radius of a hemisphere with a volume of 94 m", to the nearest tenth of a
meter?
Answer:
3.553774
Step-by-step explanation:
[tex] \frac{2}{3} \pi {r}^{3} = 94[/tex]
h
works out to 3.553774
The radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
What is a hemisphere? What is a mathematical function, equation and expression? hemisphere : a hemisphere is half of a sphere.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is hemisphere with a volume of 94 m³.
The volume of sphere is : V{S} = (4/3)πr³.So, the volume of hemisphere will be : V{S}/2 = V{H} = (2/3)πr³.So, we can write as :(2/3)πr³ = 94
πr³ = (94 x 3/2)
πr³ = 47 x 3
πr³ = 141
r³ = (141/π)
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
Therefore, the radius of the hemisphere with a volume of 94 m³ is :
r = [tex]$\sqrt[3]{\frac{141}{\pi } }[/tex]
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Write each equation in slope intercept form Underline the slope and circle the y intercept in each equation 5x + 3y = 30
The slope - intercept form is ___
The slope is ___
The y - intercept is (_, _)
Answer:
y=-5/3x+10
-5/3
(0,10)
Step-by-step explanation:
5x+3y=30
-5x. -5x
3y=-5x+30
÷3. ÷3
y=-5/3x+10
the number by the x is the slope and the constant
is the y intercept. in a y intercept the x=0 and they y=the constant which is 10 in this case making it (0,10)
Álgebra ajajajajajajajajaja
Moly has 83.50 in her savings account.she deposits 15 every week
Answer:
she will spend 5 weekings taking out mobey and with 13.50 left over
Step-by-step explanation:
h e l p m e please its 20 points
Answer:
its just a rotation. its as simple as rotating it back to its origonal form and matching up the corners
Step-by-step explanation:
CLASS 6 MATHS!!!! HELP ME PLEASE!!!!!!!
Step-by-step explanation:
[tex] \\ 20. \: \: ( \frac{ - 3}{4} )(4\frac{1}{6} )[/tex]
[tex] \\ = \frac{ - 3}{4} \times \frac{25}{6} [/tex]
[tex] \\ = \frac{ - 25}{8} [/tex]
[tex] \\ = - 3.125[/tex]
[tex] \\ 21. \: \: ( - 3\frac{7}{8} )( - 5\frac{3}{4} )[/tex]
[tex] \\ = \frac{ - 31}{8} \times \frac{ - 23}{4} [/tex]
[tex] \\ = \frac{713}{32} [/tex]
[tex] \\ = 22.28125[/tex]
Pam is baking cupcakes. The recipe calls for 4 cups of sugar, She already put in 3 cups. How many more cups does she need to put in?
(write the equation use "n" as your variable"
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Mark 4 feet of licorle to show 3/4
on number line
given that 2x+y= y+x+1 and y
=2x+2y solve for x and y
Answer:
x=1,y=-2
Step-by-step explanation:
The number of students in the tutoring center was recorded for 47 randomly selected times. The data is summarized in the frequency table below.
Number
of Students Frequency
0 – 1 14
2 – 3 1
4 – 5 8
6 – 7 12
8 – 9 12
What is the class width for this Frequency Distribution Table?
Class width =
Using the information given, it is found that the class width for this frequency distribution table is of 1.
In this problem, these following classes are given:
0 – 1 14
2 – 3 1
4 – 5 8
6 – 7 12
8 – 9 12
The classes not given, which are 1 - 2, 3 - 4 and 5 - 6, have values of 0.
The difference between the bounds of the classes is of 1, thus, the class width is of 1.
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Lannie has 5/12 cups of chocolate chips. She needs 1/34 cups to make one batch of chocolate chip cookies. How many batches of chocolate chip cookies can she make?
Answer:
14 batches
Step-by-step explanation:
take 5/12 and 1/34 and find the lowest common factor (204) mult 5/12 by 17
85/204 and 1/34 by 6 is 6/204 figure out how many times 6 goes into 85 about 14.17
so 14 full batches
A die is rolled twice. What is the probability of showing a 4 on both rolls?
Answer:
1/36
Step-by-step explanation:
So what you have to do is take all the numbers on the dice. Getting a 4 would be a 1 in 6 (1/6) chance, but then you take the risk of rolling again and trying to get another 4. Nothing changes with the amount of sides, so it would just be another 1/6 change to get the 4. Then, you have to multiply the two changes together. SO 1/6 x 1/6 = 1/36. It is a 1/36 chance to role a 4 on both roles.
The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]. Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].
What is probability?
Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex].
The probability of the first throw [tex]4[/tex] is [tex]\frac{1}{6}[/tex].
And on the second throw is [tex]\frac{1}{6}[/tex].
For both, the throws probability [tex]4[/tex] would be
[tex]\frac{1}{6}[/tex]×[tex]\frac{1}{6}[/tex][tex]=\frac{1}{36}[/tex]
Hence, the probability of showing a [tex]4[/tex] on both the rolls is [tex]\frac{1}{36}[/tex].
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3. Starting from the camp at C, Tim takes a bearing of a mountain and notes it to be 25°. He then walks 5 km to the hut at H and takes a second bearing, 345°
(a) Work out the angles in the triangle. Show it is a right angled triangle.
(b) From the mountain at M, what is the bearing of the camp?
(c) How far is it from the camp to the mountain?
(d) Tim walks back to camp from the hut. What bearing does he follow?
Answer:
No idea
Step-by-step explanation:
Please answer, I will mark BRAINELIST!
Answer:
answer is c
Step-by-step explanation:
3x (x-3)=0
than 3x=0 or x-3=0
x=0 or x=3
Answer:
HMMMMMMMMMMMMMMMMMMMMMMMM
Step-by-step explanation:
HMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMM
what is the sum of 1/6 and 5/12
Answer:
7/12
1/6 to 2/12 add 5/12 to get 7/12
What is the value of 7x (3 + x/4) when x = −8?
Answer:
Third option
Step-by-step explanation:
[tex]7x (3 + \frac{x}{4}) = -56 * (3 + -\frac{8}{4}) = -56 * (3 - 2) = -56 * 1 = -56[/tex]
[tex] \sqrt{5.29} = [/tex]
a) 2.3
b) 2.4
c) 2.5
d) 2.6
Answer:
2.3
Step-by-step explanation:
In this case we are going to use the 'Babylonian Method' to get the square root of any positive number.
We must set an error for the final result. Say, smaller than 0.01. In other words we will try to find the square root value with at least 1 correct decimal places.
Step 1:
Divide the number (5.29) by 2 to get the first guess for the square root .
First guess = 5.29/2 = 2.645.
Step 2:
Divide 5.29 by the previous result. d = 5.29/2.645 = 2.
Average this value (d) with that of step 1: (2 + 2.645)/2 = 2.3225 (new guess).
Error = new guess - previous value = 2.645 - 2.3225 = 0.3225.
0.3225 > 0.01. As error > accuracy, we repeat this step again.
Step 3:
Divide 5.29 by the previous result. d = 5.29/2.3225 = 2.2777179763.
Average this value (d) with that of step 2: (2.2777179763 + 2.3225)/2 = 2.3001089882 (new guess).
Error = new guess - previous value = 2.3225 - 2.3001089882 = 0.0223910118.
0.0223910118 > 0.01. As error > accuracy, we repeat this step again.
Step 4:
Divide 5.29 by the previous result. d = 5.29/2.3001089882 = 2.299891017.
Average this value (d) with that of step 3: (2.299891017 + 2.3001089882)/2 = 2.3000000026 (new guess).
Error = new guess - previous value = 2.3001089882 - 2.3000000026 = 0.0001089856.
0.0001089856 <= 0.01. As error <= accuracy, we stop the iterations and use 2.3000000026 as the square root.
So, we can say that the square root of 5.29 is 2.3 with an error smaller than 0.01 (in fact the error is 0.0001089856). this means that the first 3 decimal places are correct. Just to compare, the returned value by using the javascript function 'Math.sqrt(5.29)' is 2.3.
Note: There are other ways to calculate square roots. This is only one of them.
Normal:
The square root of 5.29 is defined as the only positive real number such that, multiplied by itself, it is equal to 2.3.
The square root of 5.29 can be written as (5.29)1/2. So,
(5.29)1/2 = (2.3 × 2.3)1/2
(5.29)1/2 = [(2.3)2]1/2
(5.29)1/2 = (2.3)2/2
(5.29)1/2 = (2.3)1
Thus,
√5.29 = 2.3
What is the HCF of two consecutive odd numbers?
Answer :
1 one, it's one hoped this help !
The HCF (Highest Common factor) also called the GCF (Greatest Common Factor) of two consecutive odd numbers is 1. Hope this helps!
~Just a joyful teen
[tex]GraceRosalia[/tex]
Please help me with the question
Answer:
Rate of Change: 2
Step-by-step explanation:
Rate of change is the same as slope:
( y1 - y2 ) / ( x1 - x2 )
( 2 - 4 ) / ( 0 - 1 )
( -2 ) / ( -1 )
2
Hopefully this helps!
Brainliest please?
According to the new remuneration scheme, the starting pay of a lecturer a is RM3,087 per month and the annual increment is RM195. Ahmad, who is 25 years old, becomes a lecturer in a university. (a) What will his monthly salary be when he is 45 years old? (b) What will his age be when he gets a monthly payment of RM8,937?
Step-by-step explanation:
arithmetic sequence : every new item of the sequence is created by adding a constant term to the previous item - in this case 195.
a1 = 3087 (that's our starting value)
a2 = a1 + 195
a3 = a2 + 195 = a1 + 2×195
an = a1 + (n-1)×195
a)
when he is 45 years old, that is 20 years (and 20 annual increments) plus to our starting value.
so, n = 1+20 = 21
a21 = a1 + 20×195 = 3087 + 20×195 = 6987
so, when he is 45 years old, his monthly salary will be RM6,987
b)
how many years (= how big is n) until he gets 8937 ?
8937 = a1 + (n-1)×195 = 3087 + (n-1)×195 =
= 3087 + n×195 - 195 = 2892 + n×195
6045 = n×195
n = 6045/195 = 31
so, a31 = 8937
and that means, he has to work 30 additional years (31 minus the starting level 1) to earn monthly RM8,937.
that means he will be 25+30 = 55 years old.
Find the missing angle measure
S=
Z=
(Please help I will give you brainliest!)
Answer:
s=42 , z=34 ,x=55
Step-by-step explanation:
48+90+s=180 [Sum of angles of a triangle]
s=42
z+115+31=180 [Sum of angles of a triangle]
z=34
Number 5,
35+90+unknown angle=180 [Sum of angles of a triangle]
Unknown angle=55
x=Unknown angle [Vertically opposite angles]
x=55
how do you solve -5=4x-8
Answer:
3.25=x
Step-by-step explanation:
start with -5=4x+8
subtract 8 from each side to get:
-13=4x
divide each side by 4 to get your answer:
-3.25=x-
Answer:
[tex]x = - 3.25[/tex]
Step-by-step explanation:
-5 = 4x + 8
-5 - 8 = 4x + 8 - 8
-5 + (-8) = 4x
-13/4 = 4x/4
Therefore, x = -3.25
-5 + (-8) = 4x
Same Change Change (SCC) rule for integers was applied here.
A store buys 10 shirts at a whole sale price of $5 each. They want to mark up the
price by 50%. How much do they sell each t-shirt for?
$100
$7.50
$55
$5.50
PLS I NEED HELPPP
Answer:
the answer is 5.50 or the last one
Step-by-step explanation:
hope this helps
Answer:
answer is $7.5
Step-by-step explanation:
1shirt=$5
10 shirt= ?
10*5= $50
$5= 100%
what about 150%
(5*150)÷100= $7.5