The number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given that, John works two jobs. He earns $10 an hour babysitting his neighbour's children and $15 an hour mowing lawns in his neighbourhood. Last week he worked a total of 20 hours and earned a total of $240.
Let the x be the number of hours he spent babysitting and y be the number of hours he spent mowing lawns last week,
Establishing the equation, we get,
x+y = 20
x = 20-y......(i)
10x+15y = 240.......(ii)
Using the equation (i) in (ii), we get
10(20-y)+15y = 240
200-10y+15y = 240
5y = 40
y = 8
Put y = 8 in eq(i)
x = 20-8
x = 12
Hence, the number of hours he spent babysitting is 12 hours and the number of hours he spent mowing lawns last week is 8 hours.
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Anna, Brianna and Caleb share some money in the ratio 5:3:7
Caleb receives £9.60 more than Brianna.
What was the total of the sum of money that was shared?
(3 punten)
Answer:
£36
Step-by-step explanation:
7-3=£9.60/4
4units=£9.60
1 u=£9.60÷4=£2.40
total units->5+3+7=15
15 units=15×£2.40=£36
2/3(x+6)=-18 I need the answer help me!!
Answer:
x = -33
Step-by-step explanation:
2/3(x+6) = -18
multiply (x+6) by 2/3
2/3x + 4 = -18
subtract 4 from both sides
2/3x + 4 - 4 = -18 - 4
2/3x = -22
multiply by 3/2
2/3 x 3/2 x = -22 x 3/2
x = -33
Step-by-step explanation:
so we basically simplify the equation to the form, which is simple to understand
2/3(x+6)=-18 then Reorder the terms in parentheses
+( + 0.66666666666667x+4)=-18 after that
Remove unnecessary parentheses
+ 0.66666666666667x+4=-18 then We move all terms containing x to the left and all other terms to the right.
+ 0.66666666666667x=-18-4 so We simplify left and right side of the equation.
+ 0.66666666666667x=-22 We divide both sides of the equation by 0.66666666666667 to get x.
x=-33 get it?
Jacob bought 9 bags of balloons. Each bag has 25 balloons. He fills all the balloon and puts 5 balloons in each bunch. How many bunches can he make please help me
what is the speed, if distance is 900 miles and time 300 minutes
Answer:
3 mi/min
Step-by-step explanation:
speed =distance/time
900/300=3
Helppppppp I WILL GIVE U THE BRAINLEST!!!!
ANSWER ALL THE QUESTIONS!!!
Circumference is the distance around
diameter is the line that goes from one side through the middle to the other side
origin is (0,0)
pi is 3.14
radius is the line that goes from the center to the side and can go any direction
Hope this helps!!!!
Please help ASAP. Thanks so much
Answer:
y = -48
x = 0
Step-by-step explanation:
A circles radius is 13 meters what is the circles area using 3.14 rounded to the nearest tenth
Answer:
530.7
Step-by-step explanation:
A circle's area is defined as πr²
You would substitute 13 in for r (the radius) and use 3.14 as your given value for pi, leaving you with this:
3.14×13²
When you calculate this, it should return a value of 530.66, which rounded to the nearest tenth is 530.7
Hope this helps!
how do you know that the expression 2x + 4y is not equivalent to 6xy
Answer:
The expression is not equivalent because you cannot combine 2 variables that are different from eachother.
Step-by-step explanation:
you are able to add 2+4 but because they have variables with them, x and y, you can not add them together.
Find the value of a.
Answer:
71 degrees
Step-by-step explanation:
Let's close the top part of the picture to make a parallelogram.
A parallelogram's four angles at each corner MUST be equal to 360 degrees.
Another property of a parallelogram is the opposite angles are congruent, meaning they're equal.
So, using these properties, we can now solve for a.
[tex]360=a+a+109+109\\360=2a+218\\142=2a\\71=a[/tex]
what is the lcm for 3/4and 1/2
Answer:
1 1/2
Hope that helps!
Step-by-step explanation:
How do you write 9.01 x 103 in standard form?
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex]9.01 \times {10}^{3} = 9.01 \times 1000 = 9010[/tex]
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
PLEASE HELP ME !!!!!!!!
Given m || n, find the value of x and y.
answer:
y = 35
x = 35
explanation:
y and 35 are vertical angles therefore are equal.
x and 35 are alternate interior angles therefore are equal.
if correct, please mark the brainliest :)
Answer:
Both values equal 35 degrees
Step-by-step explanation:
This is because y and the angle that shows 35 degrees are vertical angles, meaning they have the same measurements. x and y are corresponding angles, which means they also have the same measurements.
Hope this helps :)
I need help I’ll give brainliest
Answer:
i don't know c
Step-by-step explanation:
Find the missing side length of this right triangle
Answer:
41
Step-by-step explanation
because this triangle is a right triangle , u know that u can use pythagorean theroem to solve this.
the pythogorean theroem is [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex]. the hypotenuse is the longest side or the one that the right angle is pointing to. in the equation , the hypotenuse is represented by c.
so then u juss plug in the numbers that you have so 9 sqaured + 40 squared is equal to c sqaured.
then when you simplify that you end up with 81+1600=[tex]c^{2}[/tex]
then you add the two numbers and you get 1681=[tex]c^{2}[/tex]
u have to get the variable by itself so you find the sqaure root of each side which would look like [tex]\sqrt{1681}[/tex]=[tex]\sqrt{c}[/tex]
simplify that, and you get c=41
hopefully that helped ! :)
Please help ASAP. Thanks so much.
Answer:
D. 1/9
Step-by-step explanation:
The x-coordinate is -1/3
Marking brainliest
Please help
Answer:
D
Step-by-step explanation:
That's the answer.......
Answer:
D
Step-by-step explanation:
Which relationship describes angles 1 and 2?
(Correct answer gets brainliest.)
Answer:
angle 1 = angle 2
Step-by-step explanation:
1 and 2 are corresponding angles meaning if they are equal but on opposite sides. If you now for example angle 1 = 20 , 2= is also 20. This is helpful to know if you want to solve for x on one of these angles
Answer:Complimentary angle
Step-by-step explanation:
Write and equation in slope intercept form to model the situation.
A candle is 8 inches tall and burns at 3/4 inch each hour.
Answer:
The equation that models the situation is [tex]y = 8 - 0.75t[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line, in slope-intercept formula, has the following format:
[tex]y = mx + b[/tex]
In which m is the slope(how much y changes when x changes by 1 unit) and b is the intercept, which is the value of t when x = 0.
A candle is 8 inches tall and burns at 3/4 inch each hour.
Using t as number of hours and y as the height.
Initial height of 8 inches, that is, when [tex]t = 0, y = 8[/tex], so [tex]b = 8[/tex]
Burns at 3/4 inch each hour.
That is, the height decreases by a rate of 3/4 inch each hour, so [tex]m = -\frac{3}{4} = -0.75[/tex]
So
[tex]y = 8 - 0.75t[/tex]
A new secretary has been given n computer passwords, only one of which will permit access to a computer file. Because the secretary has no idea which password is correct, he chooses one of the passwords at random and tries it. If the password is incorrect, he discards it and randomly selects another password from among those remaining, proceeding in this manner until he finds the correct password. What is the probability that he obtains the correct password on the second try? The third try?
Answer:
The answer is "[tex]\bold{\frac{1}{n}}[/tex]"
Step-by-step explanation:
Although n passwords were available and any time a wrong password is deactivated. Throughout the second try, if the secretary finds the right password, its input during the first attempt should be incorrect. Therefore, the likelihood is:
[tex]\to Pr= \frac{n-1}{n} \times \frac{1}{n-1} =\frac{1}{n}[/tex]
If n passwords were accessible and any time the wrong password is deactivated. Unless the delegate finds the right password on the three trials, the input should be incorrect during the first and second trials. Consequently, the likelihood is:
[tex]\to Pr= \frac{n-1}{n} \times \frac{n-2}{n-1} \times \frac{1}{n-2} =\frac{1}{n}[/tex]
18 less than four times a number is 5.
I think the mathematical equation for this sentence is
(Step 1)
4x-18=5 Add 18 to both sides to get the numbers on the same
+18 | +18 Side of the equals sign.
----------------------
4x =23
(Step 2)
4x =23 / 4 Divide equation by four
x=5.75 The answer is X=5.75
Hope I was able to help :)
Answer:
Assuming you wanted to find that mystery number:
It would be 5.75.
Step-by-step explanation:
5 = 4x - 18
Add 18 to both sides of the equation:
5 + 18 = 4x - 18 + 18
23 = 4x - 18 + 18
23 = 4x
Divide each side by 4:
(23/4) = (4x/4)
23/4 = x
5.75 = x
x = 5.75
HELP Please!!
Jonathan leans three playing cards against each other to form a triangle. He uses three more playing cards from the same deck to form a second triangle. Which statement is true?
1. In order to determine if the two triangles are congruent Jonathan must measure all three interior angles.
2. In order to determine the two triangles are congruent Jonathan must measure one interior angle .
3. The two triangles cannot be congruent because sides cannot be used to prove congruency.
4. The two triangles must be congruent because the corresponding sides in both triangles are congruent
Answer: Michelle it’s 4
Step-by-step explanation: they are from the same deck
Which is closest to the quotient 4,367 ÷ 0.004 A. 1,000 B. 10,000 C. 100,000 D. 1,000,000 explain how you got the answer pls btw 6th grade
Answer:
D) 1,000,000
Step-by-step explanation:
Here it is.
Select the number(s) that make the inequality true,
Select all that apply.
m > 0
A.0.
B.1
c.2
D.3
E.-1
Answer:
A and E
Step-by-step explanation:
If 6(2x+1) is equal to -36-2x, what is the value of 3x
Answer:
The value of 3x is -9
Step-by-step explanation:
Given Equation
[tex]6(2x + 1) = - 36 - 2x[/tex]
Step 1
Distribute 6 in the expression.[tex]12x + 6 = - 36 - 2x[/tex]
Step 2
Combine like terms and solve the equation for x-term[tex]12x + 2x = - 36 - 6 \\ 14x= - 42 \\ x = \frac{ - 42}{14} \longrightarrow \frac{ - 3}{1} \\ x = - 3[/tex]
But we want to know what is the value of 3x.
Step 3
Substitute the value of -3 in 3x.[tex]3x = 3( - 3) \\ 3x = - 9[/tex]
Hence, the value of 3x is -9
Hope this helps! If you have any questions that are related to the answer, feel free to use "Comment" feature!
Whoever can answer this will get brainlyest
Answer:
44
Step-by-step explanation:
[tex]\frac{x}{77} =\frac{32}{56}\\\\x = \frac{32}{56}*77 = \frac{4}{7}*77 = 4 *11[/tex]
x = 44
A motel clerk counts his $10 bills and $20 bills at the end of the day. He finds that he has a total of 150 bills, and that those 150 bills have a total value of $2,000. How many $10 bills and $20 bills does the motel clerk have?
Translate the problem into 2 equations.
Let the x be the number of $10 bills and y be the number of $20 bills.
Answer:
100 $10 bills and
50 $20 bills
Step-by-step explanation:
Given
[tex]x = \$10[/tex]
[tex]y = \$20[/tex]
[tex]Bills = 150[/tex]
[tex]Value = \$2000[/tex]
Required
Determine the number of $10 and $20 bills
[tex]Bills = 150[/tex].
This implies that:
[tex]x + y = 150[/tex]
[tex]Value = \$2000[/tex]
This implies that:
[tex]10x + 20y = 2000[/tex]
So, the equations are:
[tex]x + y = 150[/tex]
[tex]10x + 20y = 2000[/tex]
Make x the subject in the first equation
[tex]x = 150 -y[/tex]
Substitute 150 - y for x in the second
[tex]10(150 - y) + 20y= 2000[/tex]
[tex]1500 - 10y + 20y= 2000[/tex]
[tex]1500 + 10y = 2000[/tex]
[tex]10y = 2000-1500[/tex]
[tex]10y = 500[/tex]
[tex]y =50[/tex]
Recall that:
[tex]x = 150 -y[/tex]
[tex]x = 150 -50[/tex]
[tex]x = 100[/tex]
Time Remaining
This Question: 1 pt
9 of 9
T
The perimeter of a rectangular garden is 68 yards. The width of the garden is five yards less than twice the length.
(a) Find the length and width of the garden.
(b) What is the area of the garden?
The length of the garden is
(Type an integer or a decimal.)
The width of the garden is
V (Type an integer or a decimal.)
The area of the garden is
(Type an integer or a decimal.)
Answer:
a. Length = 13 yards and Width = 21 yards.
b. Area of rectangle = 273 square yards.
Step-by-step explanation:
Let the length of the rectangular garden be L
Let the width of the rectangular garden be W
Given the following data;
Perimeter of garden = 68 yards
Translating the word problem into an algebraic equation, we have;
W = 2L - 5 ......equation 1
Note: The formula for calculating the perimeter of a rectangle is;
[tex]P = 2L + 2W[/tex]
68 = 2L + 2W ........equation 2
Substituting eqn 1 into eqn 2;
68 = 2L + 2(2L - 5)
68 = 2L + 4L - 10
68 = 6L - 10
6L = 68 + 10
6L = 78
L = 78/6
L = 13 yards
To find the width;
W = 2L - 5
W = 2(13) - 5
W = 26 - 5
W = 21 yards.
b. To find the area of the garden;
Area of rectangle = length * width
Area of rectangle = 13 * 21
Area of rectangle = 273 square yards.
What is the slope of the line x=-1x=−1x, equals, minus, 1? Choose 1 answer: Choose 1 answer: (Choice A) A -1−1minus, 1 (Choice B) B 000 (Choice C) C 111 (Choice D) D Undefined
Answer:
B and a good time to get answer of your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and answers to your questions and
Math question for 30 points please answer correctly
Answer:
D. The rate of change for function B is greater than the rate of change for function A
Step-by-step explanation:
Function a has a slope (aka rate of change) of 3/3
I know this because we start at (-3, 0) then finish at (0, 3)
We added 3 to both the x value and the y value.
3/3 = 1, so we have a rate of change of 1 for function A
Now that we know this, we can write the equation out into slope intercept form.
We can get y = x + 3
The equation for function B is y = 5x + 5
The slope for function B is greater, therefore the rate of change for function B is greater than the rate of change for function A