The number of wrenches is 10 for which he paid $1.50, and $2.50. the number of wrenches is 5 for which he paid $4, and the number of wrenches is 6 for which he paid $3.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have:
Mr. Abernathy bought a selection of wrenches for his shop and paid $78.
Let's suppose:
The number of $1.50 wrenches is x
The number of $2.50 wrenches is also x
The number of $4 wrenches is x/2
The number of $3 wrenches is 1+x/2
Then linear equation becomes:
[tex]\rm 1.50x+2.50x+\frac{4x}{2} +3(1+\frac{x}{2} ) = 78[/tex]
[tex]\rm 3x+5x+4x +3(2+x ) = 156[/tex]
15x = 150
x = 10
The value of x = 10
=x/2 ⇒ 10/ 2 ⇒ 5
= 1+x/2 ⇒ 1+5 ⇒ 6
Thus, the number of wrenches is 10 for which he paid $1.50, and $2.50. the number of wrenches is 5 for which he paid $4, and the number of wrenches is 6 for which he paid $3.
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A water bottle holds 3 1/3 c of water. A bowl holds 2 1/4 times the amount in the water bottle. How much water does the bowl hold? Express your answer as a mixed number in the simplest form.
Answer: 7/100
Step-by-step explanation:
Count with yo Hands fool
A ball is dropped from a height of 48 feet. Each time the ball bounces, it travels back up half the distance from which it fell. How many feet has the ball traveled when it hits the ground from the fifth time?
Answers:
a
[1] Vertical Angle Theorem[2] Converse of Same Side Interior Angle Theorem
b
[1] Vertical Angle Theorem [2] Same Side Interior Angle Theorem
c
[1] Vertical Angle Theorem [2] Converse of Same Side Exterior Angle Theorem
d
[1] Converse of Same Side Interior Angle Theorem[2] Vertical Angle Theorem
What is value of the digit 5 in the number 75
How is the number five thousands and eighty-five thousandths written in decimal form?
A) 5000.0085
B) 500.00085
C) 5000.085
D) 5000.85
I chose answer C. Is this correct?
The decimal form of 'five thousands and eighty-five thousandths' is 5000.085. Therefore, your answer choice C) 5000.085 is correct.
Explanation:The decimal number 5000.085 can be understood as a combination of two distinct parts: the whole number component, 5000, signifies 'five thousands,' representing a quantity in the thousands place, and the fractional part, 0.085, signifies 'eighty-five thousandths,' indicating a value less than one but greater than zero. When these two components are integrated, the number 5000.085 emerges, illustrating a precise quantity with both an integral and fractional significance. This understanding showcases the inherent nature of decimal notation, where whole numbers and fractional values harmoniously coexist, providing a comprehensive representation of numerical quantities.
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Tatiana wants to give friendship bracelets to her 323232 classmates. She already has 555 bracelets, and she can buy more bracelets in packages of 444.
Answer:
5+4p ≥ 32
No
Step-by-step explanation:
I promise this is the answer
Write an equation and solve. If four times Catherine’s age is subtracted from 5 times Jose’s age, the difference is 32 years. Jose is sixteen. Find Catherine’s age.
please help me solve this maths problem ☺
Answer:
lets
h =# of hens in the filed and c = # of cows in
the field
hens and cows have 50 heads
h + c = 50 (1)
hens and cows have 180 legs (hen has 2
legs and cow has 4 legs)
2h+4c180 (2)
From equation (1) h + c = 50 ----> h = 50 - c
substitute h = 50 c into 2h + 4c = 180 (
-
2h+4c 180
2(50-c) + 4c = 180
1002c+ 4c = 180
2c 180-100
2c=80
C = 40
2h + 4(40) = 180
2h+160 180
2h = 20
h = 10
answer
hens = 10 and cows = 40
double check:
heads: 10 hens + 40 cows = 50 total legs:10(2) + 40(4) = 20 + 160 = 180
rosa scored 174,325 points a games to the nearest ten thousand
A weightlifter holds a 1,700 N barbell 1 meter above the ground. One end of a 2-meter-long chain hangs from the center of the barbell. The chain has a total weight of 500 N. How much work (in J) is required to lift the barbell to a height of 2 m
The work required to lift the barbell to a height of 2 m is 1,700 J.
Explanation:To calculate the work required to lift the barbell to a height of 2 m, we need to consider the gravitational potential energy. The work done is equal to the change in potential energy.
The initial potential energy of the barbell is equal to its weight multiplied by the initial height, which is 1,700 N * 1 m = 1,700 J.
The final potential energy of the barbell is equal to its weight multiplied by the final height, which is 1,700 N * 2 m = 3,400 J.
Therefore, the work required to lift the barbell to a height of 2 m is 3,400 J - 1,700 J = 1,700 J.
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what is the answer to 3(-8-4c)
Consider the following multistep word problem:
The sum of the ages of a brother and sister is 20. If four times the brother's age is subtracted from three times the sister's age, the difference is 25.
How to do $15.78 in money word form
Explain how to estimate 368 plus 231 in two different ways
What is one and eighty-two hundredths added to fifteen and two-tenths
Round off 3.974 to the nearest cent
What is u + v + w when u = –10, v = 4, and w = 8? (7th grade math ._.)
A.–22
B.2
C.14
D.22
The dot plot below shows the number of dogs in neighborhood houses: A dot plot with integers 1 to 5 is shown. It is labeled Dogs, and titled Dogs in Houses. There are 4 dots above 1, 3 dots above 2, 2 dots above 3, 1 dot above 4, and 1 dot above 5. Which of the following statements best describes the shape of the data? It is symmetric and has a peak at 1. It is symmetric and has a peak at 4. It is not symmetric and has a peak at 1. It is not symmetric and has a peak at 4.
Answer:
The correct statement is:
It is not symmetric and has a peak at 1.
Step-by-step explanation:
We may make a dot plot based on the given information.
The dot plot is attached to the answer.
We may clearly observe that the dot plot is not symmetric since, there is no such point such that the plot to its left and right are equal.
Also,the frequency corresponding to '1' is highest (i.e. there are 4 dots above 1)
Hence, the peak of the dot plot is at '1'.
Explain how to find the greatest common factor of three numbers
The bus driver made 6 stops on his way into town. No passengers exited the bus. By stop 3, there were 9 passengers on the bus. This graph shows this information.
How many stops did it take to have 13 passengers on the bus?
a.2
b.3
c.4
d.5
Denise has 6 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 7mph and walks back at a speed of 3mph, how long should she plan to spend walking back?
Denise should plan to spend around 4.2 hours walking back after running. This is calculated using the concept of time = distance / speed and sum of the times, with the total time, running speed and walking speed given as 6 hours, 7 mph, and 3 mph, respectively.
Explanation:To answer the question 'How long should Denise plan to spend walking back?' we can start by finding the time she spends running. We know that Denise has 6 hours to spend training for an upcoming race. We also know that she runs at a speed of 7mph and walks back at a speed of 3mph.
The total time spent running and walking is 6 hours. To find the running time, we should know that time = distance / speed. However, we don't have the distance. But since the distance ran is equal to the distance walked back, we can use the concept of time = distance / speed and sum of times to solve it.
We can denote the distance by D, thus the time spent running is D/7 and the time walking back is D/3. Adding these times should equal 6 hours.
Putting this into an equation: D/7 + D/3 = 6.
We solve this equation to find D, and find the time spent walking back by substituting D back into D/3. Which gives us about 4.2 hours. So, Denise should plan to spend about 4.2 hours walking back after her run.
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Rewrite (10+3)5 using the Distributive Property. Then simplify.
Answer:
[tex]\huge\boxed{\boxed{\tt{65\::)}}}[/tex]
Step-by-step explanation:
Hello.
First, add 10+3.
The sum is 13.
Now, multiply that by 5.
13×5=65
And we're done!
I hope it helps & have an outstanding day! :)
~ST2710 :)
What is the angular velocity of a 6-foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for pi
carrie can type 787 words in 12 minutes. and heather can type 1020 words in 15 minutes. who can type the fastest?
Heather can type the fastest. Comparing the two rates, we can see that Heather's rate of 68 words per minute is higher than Carrie's rate of 65.5833 words per minute.
To determine who can type the fastest, we need to calculate the typing rate in words per minute for both Carrie and Heather.
First, let's calculate Carrie's typing rate:
Carrie can type 787 words in 12 minutes. To find out how many words she can type per minute, we divide the number of words by the number of minutes.
[tex]\[ \text{Carrie's rate} = \frac{787 \text{ words}}{12 \text{ minutes}} \] \[ \text{Carrie's rate} = 65.5833 \text{ words per minute} \][/tex]
Next, let's calculate Heather's typing rate:
Heather can type 1020 words in 15 minutes. Similarly, we divide the number of words by the number of minutes to find her rate.
[tex]\[ \text{Heather's rate} = \frac{1020 \text{ words}}{15 \text{ minutes}} \] \[ \text{Heather's rate} = 68 \text{ words per minute} \][/tex]
Therefore, Heather can type the fastest.
anita says ray CD can also be called ray dc. do you agree?
Evaluate 4-2f when f=1
What’s w = 2hx - 11x ? Solving for x.
Answer:
[tex]x=\frac{w}{2h-11}[/tex]
Step-by-step explanation:
Given equation,
w = 2hx - 11x,
⇒ 2hx - 11x = w
The steps for solving this equation for x are as follows,
Step 1 : By the converse of distributive property,
x(2h-11) = w
Step 2 : Isolate x in the left side of the equation by dividing both sides by 2h - 11 ( Division property of equality )
[tex]x=\frac{w}{2h-11}[/tex]
Can a cube with a volume of 4 cubic feet fit in a bookshelf that is 12 inches tall?
If g(x) = x2, which expression is equal to g(x + 1)
1
x2 + 1
x2 + 2x +1
x2 - x
To find g(x+1) for the function g(x)=x^2, you substitute x+1 into the function to get (x+1)^2, which expands to x^2 + 2x + 1.
Explanation:The function given is g(x) = x^2. To find g(x + 1), you just need to substitute x + 1 into the function where x is. So, g(x + 1) = (x + 1)^2. If we expand this, it becomes x^2 + 2x + 1.
Therefore, the expression that is equal to g(x + 1) is x^2 + 2x + 1.
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how could u demonstrate that there are 1,000 millimeters in 1 meter
Answer:
There are 1000 millimeters in a meter.
Starting from lower scale that is, centimeter, decimeter and then meter
1 cm = 10 mm
1 dm = 10 cm
And 1 meter = 10 dm
So, when you go up to mm from meter, we will do [tex]10^{3}[/tex] to get the relation between meter and mm.
Hence, 1 meter = [tex]10\times10\times10=1000[/tex] millimeters.