[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
Find the slope of the line that passes through (10, 7) and (3, 15).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
We can find the slope using the following formula:-
[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]
Replace the letters with numbers:-
[tex]\boxed{\frac{15-7}{3-10}}[/tex]
[tex]\bigstar[/tex] On simplification,
[tex]\boxed{\frac{8}{-7}}[/tex]
[tex]\bigstar[/tex] The slope is
[tex]\boxed{-\frac{8}{7}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Does anybody know this?The two pentagons shown are similar if the area of the smaller pentagon is 232m^3 find the area of the larger pentagon
Answer:
(a) 362.5 m²
Step-by-step explanation:
The ratio of areas is proportional to the square of the ratio of side lengths.
__
scale factorlarger/smaller = (35 cm)/(28 cm) = 5/4
areaThe larger area is the square of this scale factor times the smaller area.
(5/4)²(232 m²) = 362.5 m²
_____
Additional comment
We assume the units are intended to match. It is impossible for a pentagon with a side length of 28 cm to have an area of 232 m². A regular pentagon with a side length of 28 cm will have an area of about 0.1349 m².
What is the solution for x in the equation?
-2x+14+10x=34
Answer: The solution of x is 2.5
Step-by-step explanation: hope it helps:)
Answer: [tex]x=\frac{5}{2}[/tex]
Step-by-step explanation:
Simplify the expression:
[tex]-2x+14+10x=34[/tex]
[tex]\left(-2x+10x\right)+14=34[/tex]
[tex]8x+14=34[/tex]
Group all constants on the right side of the equation:
[tex]8x+14-14=34-14[/tex]
[tex]8x=34-14[/tex]
[tex]8x=20[/tex]
Isolate the x:
[tex]\frac{8x}{8}=\frac{20}{8}[/tex]
[tex]x=\frac{20}{8}[/tex]
[tex]x=\frac{5\cdot 4}{2\cdot 4}[/tex]
[tex]x=\frac{5}{2}[/tex]
The [tex]CORRECT[/tex]answer to this solution is: [tex]x=\frac{5}{2}[/tex]
[tex]calderonj4588~:)[/tex]
I f the mean of 5 observation is 15 and four of them are 11, 12, 19, 20. what is the fifth number
Answer:
13
Step-by-step explanation:
11 * 12 * 19 * 20 * 13 = 75
75/5 = 15
Answer:
13
Step-by-step explanation:
the mean is calculated as
mean = [tex]\frac{sum}{count}[/tex]
let x be the fifth number , then
[tex]\frac{11+12+19+20+x}{5}[/tex] = 15
[tex]\frac{62+x}{5}[/tex] = 15 ( multiply both sides by 5 to clear the fraction )
62 + x = 75 ( subtract 62 from both sides )
x = 13
A number cube has edges of 8 centimeters. What is the surface area of the number cube?
-64 square centimeters
-192 square centimeters
-384 square centimeters
-512 square centimeters
Answer:
384 square centimeters
Step-by-step explanation:
The surface area formula for a cube is 6L^2
(L=length or in this case edge)
Plug in values and solve the formula.
SA=6L^2
SA=6(8^2)
SA=6(64)
SA=384 square centimeters
Breanna purchased 8 oranges for $10.00. Jonathon purchased 6 oranges for $8.00. What was the unit rate for each purchase?
Answer:
Step-by-step explanation:
breanna's oranges were $1.25
jonathon's oranges were $1.33
(Express the answer as dollar.cents)
Answer:
$46.20
Step-by-step explanation:
Do 8.80 times 7 to get 61.6 then divide by four to get 15.40 then subtract it by 61.6 to get 46.20
Donald bought a box of golf balls for $9.26. There were 18 golf balls in the box. About how much did each golf ball cost?
Answer:
$0.51 per golf ball.
Step-by-step explanation:
9.26 divided by 18 is 0.51.
Answer:
$1.94 dollars
Step-by-step explanation:
hehe
109, 94, 87, 103, 89, 112, 98, 115, 99 Find the lower quartile
109, 94, 87, 103, 89, 112, 98, 115, 99 Find the median.
2 QUESTIONS TO ANSWER PLEASE ANSWER THIS ASAP WILL GIVE BRAINIEST
Answer:
Below in bold.
Step-by-step explanation:
109, 94, 87, 103, 89, 112, 98, 115, 99
First arrange them in ascending order.
87 89 94 98 99 103 109 112 115
The median is the middle value:
= 99.
The lower quartile
= (89+94) / 2
= 183/2
= 91.5.
2
Which of the following is a rational number?
(10 Points)
о 3л
O 6√8
O√3+3
O4√16
I NEED THIS DONE ASAP
Answer:
you didnt put anything
Step-by-step explanation:
You just really like math to answer this one ngl
Answer:
p(a tail on the second toss) = 4/8
p(exactly one head) = 3/8
p(a head on each of the last two tosses) = 2/8
Step-by-step explanation:
PLSS HELP ILL GIVE BRAINLIEST ASAP
Find the surface area of the regular pyramid
The table below shows the hours the restaurant is open each week.
Monday through Friday 10 A.M.-7 P.M.
Saturday and Sunday 9:30 AM.-8 P.M.
How many hours is the restaurant open each week?
Answer:
66 hours
Step-by-step explanation:
Monday through Friday is 45 hours
and Saturday and Sunday is 21 hours
Steve earns $10.00 per hour. he worked 40 hours at regular rate, 8 hours at time and a half and 8 hours at double time. compute the total wages.
The total wages of Steve will be equal to W=$560 worked for 56 hours.
What are wages?The amount of money charged by a worker for working for a particular company on an hourly or day basis is called the wages.
Here the time of the worker is given as . he worked 40 hours at a regular rate, 8 hours at a time and a half and 8 hours at double time and the earning per hour is $10.
The total time will be:-
40+8+(1÷2)x8x2=56
Now the total earnings will be given as:-
T=10x56=$560
Hence the total wages of Steve will be equal W=$560 worked for 56 hours.
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5TH GRADE WORK HELP PLEASE I DON'T KNOW HOW TO DO THIS
Answer:
1 yard = 3 feet
We will need to multiply the yard lengths by 3 to convert the measurements to feet.
8 feet x 3 = 24 yards >>>> 8 ft = 24 yards
6 feet x 3 = 18 yards >>>> 6 ft = 18 yards
5 feet x 3 = 15 yards >>>> 5 ft = 15 yards
Then you would do Length x width x depth x 7.5 (Since there are 7.5 gallons in each cubic foot, multiply the cubic feet of the pool by 7.5 to arrive at the volume of the pool, expressed in gallons.)
So...
24 x 18 x 15 x 7.5 =
48, 600
I hope this helps and this helps and I hope this is the answer you needed.
Mary is inscribing a square in the circle shown, but she is having difficulty remembering the process.
Which summary describes the basic process for constructing a square inscribed in the circle?
A.
Create the perpendicular bisector of FO. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
B.
Set the compass width to the length of FO, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle, and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
C.
Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
D.
Set the compass width to the length of FG, place the point of the compass on the circle, and draw an arc. Place the compass on the intersection of the arc and the circle, and repeat the process until the circle is intersected by four arcs. Connect the intersection points to form the square.
Make the FG perpendicular bisector. Then draw the square using the perpendicular bisector's points of intersection with the circle, as well as points F and G is the correct procedure. Option C is correct.
What is the procedure for constructing a square inscribed in the circle?The procedure is as follows:
1. A circle's diameter is drawn.
2. Using the approach given in the perpendicular bisector of a segment, draw a perpendicular bisector of the diameter. This is also the circle's diameter.
3. The vertices of the inscribed square are the four points on the circle that result.
The summary describes the basic process for constructing a square inscribed in the circle is to create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
Hence,option C is correct.
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Answer: C
Step-by-step explanation:
C.
Create the perpendicular bisector of FG. Then use the points of intersection of the perpendicular bisector with the circle, along with points F and G, to draw the square.
Does anybody know this? I got told it was the third option but it was wrong.Find the area of the shaded sector use 3.14 for pi
Answer:
B) 35.4 ft²
Step-by-step explanation:
Area of a sector
[tex]\textsf{Area of a sector of a circle}=\left(\dfrac{\theta}{360^{\circ}}\right) \pi r^2[/tex]
[tex]\textsf{(where r is the radius and the angle }\theta \textsf{ is measured in degrees)}[/tex]
Given:
[tex]\theta[/tex] = 110°r = 6 ft[tex]\pi[/tex] = 3.14Substitute the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Area} & =\left(\dfrac{110^{\circ}}{360^{\circ}}\right) \cdot3.14 \cdot 6^2\\\\& =\left(\dfrac{11}{36}}\right) \cdot3.14 \cdot 36\\\\& =34.54\\\\ & = 35.4\: \sf ft^2 \: (nearest\:tenth)\end{aligned}[/tex]
Hi Student!
Looking at the problem, we first need to determine the important information that is given to us. We can see that we are given a radius of 6 feet and a central angle of 110 degrees. We will need to use both of these given values in our problem.
The second step that we need to take, after gathering our information, is to convert our degrees to radians. The purpose of this is because in our formula we must use radians instead of degrees. To convert degrees to radians, we multiply it by π/180.
[tex]110\ degrees\ *\ \frac{3.14}{180\ degrees}[/tex]
[tex]1.919[/tex]
Now that we have our angle converted to radians, we can plug our information into the formula and solve.
[tex]Sector\ Area = r^2\ *\ \frac{angle}{2}[/tex]
[tex]Sector\ Area = (6\ ft)^2\ *\ \frac{1.919}{2}[/tex]
[tex]Sector\ Area = 36\ ft^2\ *\ 0.9595[/tex]
[tex]Sector\ Area = 34.542\ ft^2[/tex]
Therefore, after solving the entire equation down to the end, we can see that our answer is 34.542 feet squared. This matches option B which would be our answer.
I want a answer to my question
Answer:
50, 25
Step-by-step explanation:
The general pattern expressed by the sequence 800, 400, 200, 100 seems to be the previous number divided by 2. Therefore the next two numbers in this number pattern are most likely 100 / 2 = 50 and 50 / 2 = 25.
Answer:
50 and 25
Step-by-step explanation:
x / 2 is the constant
next number
100/2 = 50
next number
50/2 = 25
PLEASE HELP ASAP!!
Describe the transformations from the parent function, and define the function of the following graph.
Answer:
-x^2-4x+2
Step-by-step explanation:
(-2,6) (0,2) (2,-4)
7. Parallelogram CDEF with vertices C(-4,-4),
D(-2, 0), E(6, 1), and F(4, -3) in the line y = 2.
I need the coordinates after the reflection.
As per the given data, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).
What is Parallelogram?A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and parallel to each other, and the opposite angles are also equal.
To reflect the parallelogram CDEF across the line y=2, we need to reflect each vertex across the line.
The line y=2 acts as a mirror, so the distance of each point to the line will remain the same before and after reflection, but the sign of the y-coordinate will change.
The reflection of point (x, y) across the line y=2 can be found by the formula (x, 2 - (y-2)) or (x, 4 - y).
Using this formula, we can find the coordinates of the reflected parallelogram:
- The reflected image of point C(-4,-4) is (-4, 8).
- The reflected image of point D(-2, 0) is (-2, 4).
- The reflected image of point E(6, 1) is (6, 3).
- The reflected image of point F(4, -3) is (4, 7).
Therefore, the vertices of the reflected parallelogram are C'(-4,8), D'(-2,4), E'(6,3), and F'(4,7).
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Please explain it with EVERY step.
Match the mortgage types with their descriptions. it requires the buyer to make a 20% down payment. a large portion of principal is paid in a single payment at the end of the loan. it has the same interest rate for the life span of the loan. it requires a lower down payment and allows buyers to have a lower credit score. it initially has a fixed rate for three to five years and then adjusts at a predetermined time. it starts with a low interest rate and then adjusts throughout the duration of the loan.
The types of mortgages and their descriptions are:
Government insured - it requires the buyer to make a 20% down payment.Balloon mortgage - a large portion of principal is paid in a single payment at the end of the loan.Fixed rate - it has the same interest rate for the life span of the loan.Coventional - it requires a lower down payment and allows buyers to have a lower credit score.Hybrid - it initially has a fixed rate for three to five years and then adjusts at a predetermined time.Adjustable - it starts with a low interest rate and then adjusts throughout the duration of the loan.What are some types of mortages?There are various types of mortgages to take care of the people of different economic situations.
For instance, government insured mortgages help reduce mortgage rates but require a down payment of 20% of the mortgage and fixed rate mortgages allow for the same payment for the mortgage's life.
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PLEASE HELP!!! DUE BY THE END OF NIGHT (LOOK AT PICTURE PLEASE)
Answer: 60%, or D. hope this helps!
Step-by-step explanation:
Add all Blue - 30 + 20 = 50 so since theres 30 with no nuts its 30/50, divide them and you get 0.60, and as a percentage that is 60%
Answer:
D. 60%
Step-by-step explanation:
50 total blue candies (20 + 30)
30 of them contain no nuts according to the table, which means that is 30/50. This reduces to 6/10 or 0.6. As a percentage that is 60%
Use synthetic substitution to evaluate f(z) = 8z³ - 5z² +9z+9 when z = 5.
A function assigns the values. The value of f(z)=8z³-5z² +9z+9 will be 929.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
The value of f(z)=8z³-5z² +9z+9, when the value of z is 5 will be,
f(z)=8z³-5z² +9z+9
f(5)=8(5)³-5(5)² +9(5)+9
f(5)= (8×125) - (5×25) + (9×5) + 9
f(5) = 1,000 - 125 + 45 + 9
f(5) = 929
Hence, the value of f(z)=8z³-5z² +9z+9 will be 929.
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PLEASE EASY 20 POINTS A new park in the shape of a hexagon will have 6 sides of equal length.
On a scale drawing, the coordinates of the vertices of the park are (26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12).
How long is each side of the park?
Answer:
13
Step-by-step explanation:
26.5 - 13.5 = 13
Julia earned $2,000 during the month of September. Use the paycheck statement to find the missing amounts and percent rates of the taxes Julia paid. I WILL MARK BRAINLIEST. only want answers
Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.
What is the income tax rate?It is defined as the tax rate applied on the solely earned money by a single entity.
Julia paid to social security as a payroll tax = 6.2% of 2000
= (6.2×2000)/100
= $124
Julia paid to Medicare as a payroll tax = 1.45% of 2000
= (1.45×2000)/100
= $29
Julia paid a percent of her income to the federal government as an income tax:
= (260/2000)×100
= 13%
Julia paid a percent of her income to state government as an income tax:
= (120/2000)×100
= 6%
Thus, Julia paid $124 to social security as a payroll tax, $29 in Medicare as a payroll tax, 13% of her income to the federal government as an income tax, and 6% of her income to state government as an income tax.
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Which expression calculates the time in hours and object takes to travel 38 miles at the speed of 2 m/h?
38/2
38—2
38+2
38 • 2
Reason:
Distance = rate*time
time = distance/rate
time = (38 miles)/(2 mph)
time = 38/2 hours
time = 19 hours
Parallel lines cut by transversal line what is the measurement of angle D?
Answer:
110
Step-by-step explanation:
The angle with given measure 110 and the angle that is represented with letter d are alternate angle and the measure of alternate angles is equal to each other
so the measure of d = 110
how do i find the length of a=7.4 b=? c=3.6
Answer:
b=6.5
Step-by-step explanation:
a²+b²=c²
7.4²+b²=3.6²
b²=3.6²-7.4²
b²=12.96-54.76
b²= -41.8
√b²=√-41.8
b=6.465
b=6.5
simplify 8w+12/4 and make it correct
Answer:
[tex]8w+\frac{12}{4}[/tex] = 8w+3
[tex]\frac{8w+12}{4}[/tex] = 2w+3
Step-by-step explanation:
For [tex]8w+\frac{12}{4}[/tex], you can divide 12 by 4 which is three.
For [tex]\frac{8w+12}{4}[/tex], you have to divide each term. 8w is the same as 8·w. 8·w/4 is 2·w. 12/4 is 3.
The correct value of this simplified expression is 8w + 3
This question is related to algebraic expression and simplification.- Algebraic expression is a mathematical sentence that involves letters accompanied by real numbers, where it can be a variable or unknown.
- Simplification of a number is just the division of the same divisor by the numerator and denominator.
Given the expression: 8w+12/4, the only term in this expression that can be simplified is the fraction. So let's divide these two numbers by the number 2:
8w + 12 / 4
8w + 12 ÷ 2 / 4 ÷ 2
8w + 6 /2
It is still possible to simplify this expression - dividing the numerator by the denominator, so:
8w + 6 /2
8w + 6 ÷ 2
8w + 3
Therefore, the correct answer of this expression will be 8w + 3