Answer:
2 weeks and 5 days
Step-by-step explanation:
Final answer:
Raphael ran for a total of 5 weeks, calculated by dividing the total number of days he ran (35 days) by the number of days in a week (7 days).
Explanation:
Raphael runs for 35 days in a row, and we need to calculate how many weeks he runs. A week consists of 7 days. To find out the number of weeks Raphael ran, we divided the total number of run days by the number of days in a week.
Number of weeks = Total run days / Days in a week = 35 / 7 = 5
Therefore, Raphael ran for 5 weeks, illustrating the duration of his consistent running routine in terms of weeks. This computation provides a clear understanding of the duration of Raphael's running streak in a familiar time frame, aiding in tracking and planning his exercise regimen.
ANSWER QUICK
What are the values of a, b, and c in the quadratic equation 0=1/2x^2-3x?
Answer:
[tex]a=\dfrac{1}{2}\\ \\b=-3\\ \\c=0[/tex]
Step-by-step explanation:
The general form of the quadratic equation is
[tex]ax^2+bx+c=0[/tex]
You are given the quadratic equation
[tex]0=\dfrac{1}{2}x^2-3x[/tex]
It can be rewritten in standard form as
[tex]\dfrac{1}{2}x^2-3x=0[/tex]
Hence,
[tex]a=\dfrac{1}{2}\\ \\b=-3\\ \\c=0[/tex]
(u-4)5 please solve this
Answer:
5u - 20
Step-by-step explanation:
(u - 4)5
Multiply
5u - 20
Hope this helps :)
What is 6350.384 rounded to the nearest tenth
Answer:6350.4
Step-by-step explanation:
The equation of a given circle in. general form is x^2+y^2+12y+27=0. Write the equation in standard form, (x-h)^2+(y-k)^2=r^2, by completing the squares in the equation. Show your work in the table.
Answer:
Center (h, k) = (0, 6)
Radius, r = 3 units
Step-by-step explanation:
The given equation of the circle is: [tex]$ x^2 + y^2 + 12y + 27 = 0 $[/tex]
STEP I: Move the constant term to the right hand side.
To do that we subtract 27 on both the sides, we get:
[tex]$ x^2 + y^2 + 12y = -27 $[/tex]
STEP II: Divide the co - effecient of 'x' by 2 and square it.
Here there is no 'x' term. Its co-effecient is 0.
STEP III: Add the result on both sides.
Since, we got 0 in the previous step, there would no change in the equation
STEP IV: We repeat the process for 'y'.
Here, the co-effecient of 'y' is: 12.
Dividing by 2 and squaring it will yield:
[tex]$ \frac{12}{2} = 6; \hspace{5mm} 6^2 = 36 $[/tex]
STEP V: Adding 36 to both the sides of the equation, it becomes:
[tex]$ x^2 + y^2 + 12y + 36 = -27 + 36 $[/tex]
[tex]$ \implies x^2 + y^2 + 12y + 36 = 9 $[/tex]
We have arrived at perfect squares.
STEP VI: Write in the form of perfect squares.
[tex]$ (x - 0)^2 + (y - 6)^2 = 3^2 $[/tex]
STEP VII: Compare it with the standard form.
[tex]$ (x - h)^2 + (y - k)^2 = r^2 $[/tex]
We get: The centre of the circle: (h, k) = (0, 6) and
the radius of the circle, r = 3 units.
PLS I NEED ASAP WILL GIVE BRAINLIEST
Which equation is linear?
y=2x+2
2
y=2x^+2
3
y=2x^+2
4
y=2x^+2
For this case we have that by definition, a linear equation is of the form:
[tex]ax + b = 0[/tex]
The variable (s) involved in the equation always have exponent 1.
Some examples of linear equations are:
[tex]x + 5 = 3y\\y + 6 = 3x\\y = 2x + 2[/tex]
Answer:
In a linear equation the variables have exponent 1.
[tex]y = 2x + 2[/tex]
If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
HELP PLS
Answer:
The third dot
Step-by-step explanation:
I did this question before :)
Please answer before Monday 9 a.m.I have to go to school that day at that time.
Answer:
First choice, 984 cm²Explanation:
The plastic pencil case has form of a triangular prism.
This triangular prism has five faces:
Top and bottom faces: two congruent triangles with a 10 cm base and 12 cm height.Lateral faces: two congruent rectangles with a 24 cm length and 13 cm widht, and one rectangle with 24 cm length and 10 cm widht.Surface area:
Top and bottom triangles:area = (1/2) base × height
area of one triangle = 10 cm × 12 cm × (1/2) = 60 cm²
area of the two triangles = 2 × 60 cm² = 120 cm²
Lateral rectangles:area of a rectangle = length × width
area of the trhee triangles = 24 cm × 10 cm + 2 × 24 cm × 13 cm = 240 cm² + 624 cm² = 864 cm².
Total area: 120 cm² + 864 cm² = 984 cm²Answer: first choice, 984 cm²
PLEASE HELP
-
I need someone to check my answers for me, if anything is wrong please explain where I messed up so I can fix it. It is solving systems - word problems. If it helps, I've also listed the copyright holder for the worksheet.
©️ Gina Wilson (All Things Algebra), 2012
Please help me out!
The Town Recreation Department ordered 76 baseballs and 24 bats.
Given that, the total number of baseballs = 100, the total purchase = $822, cost of each baseball = $4.50 and the cost of each bat = $20.
What are simultaneous equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Let the number of baseballs be x and the number of bats be y.
Now, the total number of items = The number of baseballs + The number of bats
⇒ 100=x+y ------(I)
Total amount = 4.50x+20y
⇒ 4.50x+20y = 822 ------(II)
Solve the obtained equations:
Put x=100-y in the equation 4.50x+20y = 822
We get, 4.50(100-y)+20y = 822
⇒ 450-4.50y+20y=822
⇒ 15.5y=372
⇒ y=372/15.5
⇒ y= 24
So, x+y =100
⇒ x=100-24=76
Therefore, the Town Recreation Department ordered 76 baseballs and 24 bats.
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The question picked from the figure given:
The Town Recreation Department ordered a total of 100 baseballs and bats for the summer baseball camp. Baseballs cost $4.50 each and bats cost 20 each. The total purchase was $822. How many of each item was ordered?
What is ED ?
Enter your answer in the box.
units
two segments A D and B C intersect at point E to form two triangles A B E and D C E. Side A B is parallel to side D C. A E is labeled 2 x plus 4. E D is labeled x plus 4. C D is 6 units. A B is 9 units.
Final answer:
Using the properties of similar triangles and the given side lengths, we solve for x and find that ED equals 8 units.
Explanation:
We're dealing with a geometry problem involving parallel lines and the properties of triangles. Since sides AB and CD are parallel, and triangles ABE and DCE share a common vertex at E, we can find the length ED using similar triangles and the given side lengths. The corresponding sides of similar triangles are proportional, so:
AB / AE = CD / ED
9 / (2x + 4) = 6 / (x + 4)
To solve for x, cross multiply and obtain the equation:
9(x + 4) = 6(2x + 4)
Then solve for x:
9x + 36 = 12x + 24
3x = 12
x = 4
Having x, we can find ED:
ED = x + 4 = 4 + 4 = 8 units
Graph the system of linear inequalities. y≥2/3 x-3 y<-4x+7
Answer:
The answer is given in the graph attached.
Step-by-step explanation:
i) The answer is given in the graph attached.
(-3,4) is one of many solutions to the inequality:
2x+y ≥ -2
True or false
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
(-3,4) it shows that -3 =x and 4 =y
2x + y ≥ -2
Inserting both values into the equation
2(-3) + 4
-6 +4
-2
Answer confirms equation
There are 5 5/4 of milk left in a carton. Write 5 5/4 an improper fraction. Explain what the improper fraction represents in this situation
Answer:
25/4 This improper fraction represents how much milk is left in the carton.
Step-by-step explanation:
5×4=20
20+5=25
25/4
Write the ratio in simplest form.
8 min : 12 min
Answer:
2:3
Step-by-step explanation:
Answer:
2min :3min
Step-by-step explanation:
8 min divided by 4 =2
12 min divided by 4 =3
Teresa, Charlie, and Justin served a total of 153 orders Monday at the school cafeteria. Justin served 4 times as many orders as Charlie. Teresa served 9 more orders than Charlie. How many orders did they each serve?
Teresa served 33 orders and Charlie served 24 orders and Justin served 96 orders
Solution:
Let "a" be the orders served by Teresa
Let "b" be the orders served by Charlie
Let "c" be the orders served by Justin
Teresa, Charlie, and Justin served a total of 153 orders
Therefore,
a + b + c = 153 -------- eqn 1
Justin served 4 times as many orders as Charlie
Orders served by Justin = 4( orders served by Charlie )
c = 4b ---------- eqn 2
Teresa served 9 more orders than Charlie
orders served by Teresa = 9 + orders served by Charlie
a = 9 + b ----------- eqn 3
Let us solve eqn 1 and eqn 2 and eqn 3
Substitute eqn 2 and eqn 3 in eqn 1
9 + b + b + 4b = 153
9 + 6b = 153
6b = 153 - 9
6b = 144
b = 24
Substitute b = 24 in eqn 3
a = 9 + 24
a = 33
Substitute b = 24 in eqn 2
c = 4(24)
c = 96
Thus Teresa served 33 orders and Charlie served 24 orders and Justin served 96 orders
-4, -9, -14. What is a formula for the nth term if the given sequence in explicit formula
Answer: the formula is
(-4) + (-5) = -9
(-9) + (-5) = -14
Step-by-step explanation:
Answer:
an = 1 − 5n
Explanation:
a1 = 1 − 5 (1) = −4
a2 = 1 − 5 (2) = −9
a3 = 1 − 5 (3) = −14
Suzanna walked two over seven of a mile in two over five of an hour. What is her unit rate in miles per hour?
two sevenths over two fifths = one and two fifths miles per hour
two fifths over two sevenths = one and two fifths miles per hour
two sevenths over two fifths = five over seven mile per hour
two fifths over two sevenths = five over seven mile per hour
Get brainlest if aswered in the first 1 min.\
Two sevenths over two fifths = five over seven mile per hour
The unit rate is 5 over 7 miles per hour
Solution:
Given that, Suzanna walked two over seven of a mile in two over five of an hour
We have to find the unit rate in miles per hour
Unit rate means number of miles covered in 1 hour
From given information,
Two over seven of a mile in two over five of an hour
Which means,
[tex]\frac{2}{7} \text{ miles } = \frac{2}{5} \text{ hour }[/tex]
[tex]\text{ So she covered } \frac{2}{7} \text{ miles in } \frac{2}{5} \text{ hour }[/tex]
To find for number of miles covered in 1 hour, divide the [tex]\frac{2}{7} \text{ by } \frac{2}{5}[/tex]
[tex]\text{Unit rate in miles per hour } = \frac{\frac{2}{7}}{\frac{2}{5}}\\\\\text{Unit rate in miles per hour } = \frac{2}{7} \times \frac{5}{2} = \frac{5}{7}[/tex]
Two sevenths over two fifths = five over seven mile per hour
Thus unit rate is 5 over 7 miles per hour
Answer:
two sevenths over two fifths = five over seven mile per hour
Step-by-step explanation:
two sevenths over two fifths = five over seven mile per hour
-3(3x-2)=24 helppppppppppp
Answer:
x=-2
Step-by-step explanation: I gotchu
1. You first apply the -3 to (3x-2) which makes the equation -9x+6=24
2. Then, to isolate "-9x", you subtract 6 from both sides to make the equation -9x=18
3. Lastly, to isolate "x", you divide both sides by -9 which would make x=-2
A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. There were twice as many large boxes shipped as small boxes shipped and the total volume of all boxes was 165 cubic feet. Determine the number of small boxes shipped and the number of large boxes shipped.
Answer:
small boxes = 5 and large boxes = 10
Step-by-step explanation:
Given:
The volume of each small box is 7 cubic feet.
volume of each large box is 13 cubic fee.
There were twice as many large boxes shipped as small boxes shipped.
Total volume of all boxes was 165 cubic feet.
Question asked:
The number of small boxes shipped and the number of large boxes shipped?
Solution:
Let number of small boxes shipped = x
Then, the number of large boxes shipped = 2x (given)
Total volume of all boxes = 165 cubic feet.
no. of small boxes [tex]\times[/tex] vol. of each small box + no. of large boxes [tex]\times[/tex] vol. of each large box = 165 cubic feet. (Total volume of all boxes)
[tex]x \times7 + 2x \times 13 = 165\\7x + 26x = 165\\33x = 165[/tex]
Dividing both side by 33
[tex]x = \frac{165}{33}\\ x = 5[/tex]
The number of small boxes shipped = [tex]x[/tex] = 5
The number of large boxes shipped = 2 [tex]x[/tex] = 2[tex]\times[/tex] 5 = 10
What is the algebraic expression to 6 less than twice a number
Answer:
it would be 2x-6
Step-by-step explanation:
since you don't know what the value of "the number" is you would put a variable, x. and there is 2 of this number.
then 6 less would be -6 of this variable.
Add the two expressions.
3z−4 and 2z + 5
Enter your answer in the box.
Answer:
5z+1
Step-by-step explanation:
(3z-4)+(2z+5)
3z-4+2z+5
3z+2z-4+5
5z-4+5
5z+1
Answer:
5z+1
Step-by-step explanation:
3z-4+2z+5
Group like terms
3z+2z+5-4
Simplify
5z+1
Five times a number , subtracted from twenty ,is triple the number. find the number .
Let's label the number you're trying to find x. You have to set up a system of equations.
1. Five times a number can be labeled as 5x.
2. Subtracted from 20 gives us 5x-20.
3. The problem says this is the same as simply tripling the original number. So set the first equation equal to 3x.
4. 5x-20=3x
5. Move like terms onto the same side. We can do this by subtracting 3x from both sides and adding 20 to both sides.
6. 5x-3x=20
7. 2x=20
8. Divide both sides by 2 to get x by itself.
Answer: x=10
The number is 2.5.
Let the number is = x.
According to the question:
20 - 5x = 3x
Add 5x.
20 = 5x + 3x
20 = 8x
Divide by 8.
x = 20/8 = 2.5
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Ajar contains a mixture of 10 black balls, 8 red balls, and 2 white balls all the same size. What is the probability of
drawing either a red, black, or white ball in one draw?
Answer:
10 black- 10/20 - 50%
8 red- 8/20 - 40%
2 white - 2/20 -10%
Step-by-step explanation:
The total number of balls = 10 + 8 + 2 = 20 balls
probability of black balls = 10/20 = 50%
probability of red balls = 8/20 = 40%
probability of white balls = 2/20 = 10%
the three probabilities:
probability that the ball is one of the three colors = (10/20) + (8/20) + (2/20)
= 1 = 100%
25x2-8x=12x-4
Can someone please help me on this ?????
Answer: X=2.7
Step-by-step explanation:
25*2-8x=12x-4
50-8x = 12x-4
subtract 50 from both sides
-8x = 12x-54
subtract 12x from both sides
-20x= -54
divide both sides by -20
X=2.7
Answer:x=2/5
Step-by-step explanation:
25x2-8x=12x-4
25x2-8x-12x+4=0
25x2-20x+4=0
25x2-10x-10x+4=0
5x(5x-2)-2(5x-2)=0
(5x-2)(5x-2)=0
5x-2=0 and 5x-2=/
5x=2 and 5x=2
X=2/5
Help ASAP
Simplify each expression.
1) 3(2p - 4) - (p + 8)=
2) -3(n + 3) - (n - 6)=
3) -4(7 + 5b) - 5(7b + 6)=
4) 8(2 - 5p) - (p - 6)
5) 8(n + 2) + 8(2n - 7)
6) -(6x + 4) - 2(-x + 1)
Answer:
In photomath
Step-by-step explanation:
1.) 6p-12 or 6(p-2)
2.) -4n-3
3.)-58-55b
4.) 22-41p
5.)8(3n-5) or 24n-40
6.)-2(2x+3) or -4x-6
Answer:
1) 5p - 4 2) -4n - 3 3) -55b -58 4) -41p + 22 5) 24n - 40 6) -4x - 6
Step-by-step explanation:
1) 3(2p - 4) - (p + 8)= 6p - 12 - p + 8 = 5p - 4
2) -3(n + 3) - (n - 6)= -3n - 9 - n + 6 = -4n - 3
3) -4(7 + 5b) - 5(7b + 6)= -28 - 20b - 35b - 30 = -55b -58
4) 8(2 - 5p) - (p - 6)= 16 - 40p - p + 6 = -41p + 22
5) 8(n + 2) + 8(2n - 7)= 8n + 16 + 16n - 56 = 24n - 40
6) -(6x + 4) - 2(-x + 1)= -6x - 4 + 2x - 2 = -4x - 6
what is 666 times 88
Answer:
58,608
Step-by-step explanation:
Answer:
58,608
Step-by-step explanation:
what is 10x minus 35 factored
Answer:
5
(
2
x
+
7
)
Step-by-step explanation:
Answer: 5 (2x-7)
Step-by-step:
Identifying a Valid Sample Natasha wants to find out if the neighborhood supports lowering the speed limit on the street in front of her school. Which is a valid sample for the survey? students in Natasha’s social studies class parents who live in a town 15 miles away from Natasha’s school the first 5 drivers who drive past Natasha’s school one morning thirty residentsIdentifying a Valid Sample Natasha wants to find out if the neighborhood supports lowering the speed limit on the street in front of her school. Which is a valid sample for the survey?
A. students in Natasha’s social studies class parents who live in a town 15 miles
B.away from Natasha’s school the first 5 drivers who drive past Natasha’s C.school one morning thirty residents who live within a 2-miles radius of D.Natasha’s school who live within a 2-miles radius of Natasha’s school
Answer:
d. thirty residents who live within a 2-miles radius of Natasha’s school
Step-by-step explanation:
got it right
The valid sample for the survey would be students in Natasha’s social studies class and parents who live within a 2-mile radius of Natasha’s school.
Explanation:The valid sample for the survey would be students in Natasha’s social studies class and parents who live within a 2-mile radius of Natasha’s school.
The students in Natasha's social studies class are directly affected by the speed limit in front of her school, and the parents who live nearby are likely to have an opinion on the matter as well.
While the other options may provide some insight, they are not as directly relevant to Natasha's goal of determining the neighborhood's support for lowering the speed limit.
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Which best describes the complement of spinning any number less than 3?
Answer:
The complement of spinning any number less than 3, is spinning a number equal to or greater than 3.Explanation:
The complement of a subset is the subset of elements that are not in the given subset.
You must know which numbers the spinner has.
Assuming the spinner has the numbers 1, 2, 3, 4, the complement of spinning any number less than 3, is spinning a number that is not less than 3.
Then, that is spinning a number that is equal to or greater than 3.
The numbers that are equal to or greater than four, for a spinner that has the numbers 1, 2, 3, and 4 are 3 and 4.
Thus, the complement of spinning any number less than 3 is spinning a three or a four.
Answer:
C
Step-by-step explanation:
Find the size of the angles marked with a letter
draw triangle abc where:
AB has the length 3.9cm (this is drawn for you)
angle CAB is 50
and
angle ABC is 63
Step-by-step explanation:
We are asked to draw a triangle.
The information we are given with is AB is a line segment with length 3.9 cm.
∠CAB = 50°.
∠ABC = 63°.
With the given details we need to draw triangle using given angles. We need protractor and ruler to draw the triangle.
Step 1: Draw the line segment of length 3.9 cm using ruler and mark as AB.
Step 2: Using protractor, we need to mark the angle. Keep the center of the protractor at the A and mark with a point at 50°.
Step 3: Draw a line from a passing through the marked point.
Step 4: Repeat step 2 with marking at 63° and step 3 on the other side.
Step 5: Mark the intersection point as C.