Answer:
for the second part its d+2.5d+d-4
Step-by-step explanation:
The part of the expression represents the total amount each friend pays is d+2.5d+d-4.
What is Expression?An expression is combination of variables, numbers and operators.
Each friend pays for the entrance fee, a booklet of ride tickets, and a meal ticket.
The entrance fee costs d dollars.
A booklet of ride tickets costs 2.5 times the entrance fee, which is 2.5d dollars.
A meal ticket costs $4 less than the entrance fee, which is (d - 4) dollars.
Therefore, the total amount each friend pays is:
d + 2.5d + (d - 4)
Simplifying the expression, we get:
4.5d - 4
Hence, d+2.5d+d-4 is the part of the expression represents the total amount each friend pays.
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Find a rational number between 6 and 7.
Find the equation of line passing through the points A(-1,3) and B(0,2). Hence show that the points A,B and C (1,-1) are collinear.
A line passes through A( - 1 , 3) & B(0 , 2).
Prove:A , B , C(1 , 1) are collinear.
Proof:We know that,
Slope of a line passing through the co - ordinates (x₁, y₁) and (x₂ , y₂) is :
m = (y₂ - y₁)/(x₂ - x₁)
Let,
x₁ = - 1 x₂ = 0 y₁ = 3 y₂ = 2Hence,
→ m = (2 - 3)/( 0 - ( - 1))
→ m = - 1/1
→ m = - 1
Now,
Equation of a line ⟹ y - y₁ = m (x - x₁)
Putting the values we get,
→ y - 3 = - 1(x - ( - 1))
→ y - 3 = - x - 1
→ y + x = - 1 + 3
→ x + y = 2
Hence, the equation of the line is x + y = 2.
Now,
we have to prove that,
A , B , C are collinear.
If three points are collinear then the area of the triangle formed by them will be zero. Three points are collinear if the slope of line passing through the line segment are equal.i.e.,
Slope of AB should be equal to Slope of BC.
We have;
Slope of AB = - 1.
→ - 1 = ( 1 - 2)/(1 - 0)
→ - 1 = - 1/1
→ - 1 = - 1
Hence, A , B , C are collinear points.
I hope it will help you.
Regards.
what is 23 divided by 83 plus 2
Answer:
2.3
Step-by-step explanation:
Answer: 2.27710843373
Step-by-step explanation:
pls give me brainliest!
The total number of students enrolled at Phillips Middle School is 1,800 students. If the ratio of boys to girls is 4 to 5 for the school, how many students are boys and how many are girls? Show your work.
Answer:
There are 800 girls and 1000 boys.
Step-by-step explanation:
The total no of students enrolled = 1800
Ratio of boys to the girls is 4:5.
Let there are 4x boys and 5x girls.
ATQ,
4x+5x=1800
9x=1800
x = 200
No of boys = 4x = 4(200) = 800
No of girls = 5x = 5(200) = 1000
So, there are 800 girls and 1000 boys.
Answer:
kjhb
Step-by-step explanation:
piyg
Bob runs 4 laps around a track in 10 minutes. A) How many minutes per lap is that? B) How many laps per minute is that? C) If Bob runs 17 laps at the same rate, how long does it take him?
Answer:
Step-by-step explanation:
Firstly, let us solve for Bobs speed
speed= distance/time
given
distance= 4 laps
time= 10 min
speed= 4/10
speed=0.4laps/min
this is the rate at which Bob is running
A) How many minutes per lap is that?
this is given as
=time/distance
=10/4
=2.5 min per lap
B) How many laps per minute is that?
this is given as
=distance/time
=4/10
=0.4lad per min
C) If Bob runs 17 laps at the same rate, how long does it take him?
given that the speed is 0.4 laps per min
and a distance of 17 laps, we want to find time
speed=distance/time
0.4=17/time
time=17/0.4
time=42.5min
I will give u brainliest if u ans correctly
plzz help
it easy but still
Answer:
It would be A 0.20mm
Step-by-step explanation:
It would be A because there are 12 coins in that stack with the stack's height being 2.40
Divide 2.40 by 12
2.40/12=0.20
Hope this helps
Read the equations in the table below. Then drag a description of the situation and a table to represent each equation. Indicate whether each of the relationships is proportional or non-proportional.
PLEASE ADD YOUR OWN PICTURE OF ANSWERS! thanks ;)
Answer:
The Following
|
v
Step-by-step explanation:
Equation: y=3x
Situation: Justin gets 3 cookies for every$1 he spends at the bakery
Table:
x y
0 0
1 3
2 6
3 9
4 12
Relationship: Proportional
The Other Answers Go To: y= 3 + x
Sorry I couldn't add pic! :(
Answer:
Step-by-step explanation:
What two numbers multiply to -28 and add up to -3?
Answer:
-7 and 4
Step-by-step explanation:
-7 + 4 = -3
-7 x 4 = -28
Please help fast thank you. The problem is in the picture.
Answer:
B. acute
Step-by-step explanation:
Answer:
B: Acute triangle
Step-by-step explanation:
All of the interior angles are acute, so this is an acute triangle.
Which of the following equations is the perpendicular bisector of the line AB given:
A(3,1) & B(-3,6)
O y = 6/5x + 4
O y = 6/5x + 9/2
O y = 6/5x + 7/2
O y = -5/6x + 7/2
Answer:
C. y = ⁶/5x + ⁷/2
Step-by-step explanation:
First, find the slope of line AB that goes through A(3, 1) and B(-3, 6):
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 - 1}{-3 - 3} = \frac{5}{-6} [/tex].
Slope of line AB = -⅚.
The slope of the line that is a perpendicular bisector of line AB will be a negative reciprocal of the slope of line AB.
Thus:
Negative reciprocal of -⅚ = ⁶/5. (Reciprocal of ⅚, also the sign will change from positive to negative).
Next is to find the y-intercept, b, of the line.
To do this, you need to find the midpoint where the two lines intersect:
Therefore,
Midpoint (M) of AB, for A(3, 1) and B(-3, 6) is given as:
[tex] M(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}) [/tex]
Let [tex] A(3, 1) = (x_1, y_1) [/tex]
[tex] B(-3, 6) = (x_2, y_2) [/tex]
Thus:
[tex] M(\frac{3 +(-3)}{2}, \frac{1 + 6}{2}) [/tex]
[tex] M(\frac{0}{2}, \frac{7}{2}) [/tex]
[tex] M(0, \frac{7}{2}) [/tex]
Substitute x = 0, y = ⁷/2, and m = ⁶/5 into y = mx + b and find the value of b.
⁷/2 = ⁶/5(0) + b
⁷/2 = b
b = ⁷/2
The slope (m) and the y-intercept, b, of the line we are looking for are ⁶/5 and ⁷/2, respectively.
Therefore, substitute m = ⁶/5 and b = ⁷/2 into y = mx + b.
y = ⁶/5x + ⁷/2
The equation that is the perpendicular bisector of the line AB is y = ⁶/5x + ⁷/2.
Mary has $120 to spend on a tour of a
castle with her friends. The cost is $15 for a
tour guide and then $12 per person. Which
equation best represents how many friends
she can invite?
A. 15x + 12 > 120
B. 15x + 12 < 120
C. 12x + 15 > 120
D. 12x + 15 < 120
Answer:
12x+15>120, choice C
Step-by-step explanation:
$12/person
$15/guide
X=12
It cannot be B or D because she only has 120 to spend. It is not possible to spend more than that. It cannot B either because X=12, the number f friends she can invite which is our unknown variable. The answer has to be C. It makes the most sense.
Christina's grade for her history class will be the average of
her midterm exam, final exam, and final paper. She received a
91 on her midterm and an 86 on her paper. What grade must
she get on her final exam to receive a grade of 90 for the
class? Explain using R.A.C.E.
The average is calculated by the sum of the total test scores divided by the total number of tests. This can represented in the equation:
91 + 86 + x /3 = 90
177 + x /3 = 90 ⇒ Multiply both sides by 3 to get rid of the /3
177 + x /3 x 3 = 90 (3)
177 + x =
177 - 177 + x = 270 - 177 ⇒ Subtract 177 from both sides to isolate x
x =93
Therefore, they must get 93% to end with a 90% final mark
ASAP——-Write the slope-intercept form of the given line. Include your work in your final answer,
Answer:
Step-by-step explanation:
slope is -1/3
y=-1/3x+b
take the point (1,0) and put in the equation
0=-1/3(-1)+b
0=1/3+b
-1/3+0=-1/3+1/3+b
-1/3=b
y=-1/3-1/3
Bad Dog you see embedded here.
Pythagorean Theorem - Unknown
Side Lengths - Bad Dog
* Required
Help Louie Escape!
Answer:
can I plz see a picture of it on order to do the work
Dimitri is buying a camera on an installment plan. He makes equal monthly payments. The equation below can be used to find the amount he owes after any number of months of payments.
y=−25x+400
What does the number 400 represent in the equation?
Answer: How much he owes initially
Step-by-step explanation: It is in slope-intercept form. y=mx+b. My comment earlier was incorrect. m is how much money he has to pay every month, and b is how much he initially owes.
How much he owns initially
The population of the US is about 300 million people there are approximately 1.2×10 to the 10th power US dollars in existence if that money is given to the population equally what amount does each person receive
Answer:
206.39121408
Step-by-step explanation:
So you do, (1.2*10)^10 which equals to 61917364224. divide that number by 300million. and that answer is 206.39121408 or in money, you could say, 206 dollars and 39 cents
The population of the United States is approximately 300 million people, and there are approximately 1.2 × 10 to the tenth power US dollars in existence; if that money is distributed evenly, each person receives $206.39121408.
What is meant by equation?In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. For example, 3x + 5 = 14 is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.In mathematics, an equation is a relationship of equality between two expressions written on both sides of the equal to sign. 3y = 16 is an example of an equation.A mathematical statement made up of two expressions joined by an equal sign is known as an equation.3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.Given that,
[tex](1.2\times10) ^{10}[/tex] which equals 61917364224.
divide 61917364224 by 300million
∴ 61917364224 / 300
= 206.39121408
Therefore, 206.39121408 is an abbreviation for 206 dollars and 39 cents.
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A group of experimenters has 40 mosquitoes in a large container and needs to assign 10 to each of the four groups labeled A, B, C, and D for an experiment. They can capture the mosquitoes one at a time when the mosquitoes enter a side chamber in the container that is baited with water. Which of the following methods is most likely to result in four comparable groups of 10 mosquitoes each?
A. Label the first 10 mosquitoes caught as group A, the second 10 caught as group B, the third 10 caught as group C, and the fourth 10 caught as group D.
B. Write the letters A, B, C, and D on separate slips of paper. Pick one of the slips of paper randomly and assign the first 10 mosquitoes caught to that group. Pick another slip and assign the next 10 mosquitoes caught to that group. Pick another slip and assign the next 10 mosquitoes caught to that group. Assign the remaining mosquitoes to the remaining group
C. When each mosquito is caught, roll a die. If the die shows an even number, the mosquito is labeled A If the die shows an odd number, the mosquito is
labeled B. When 10 mosquitoes have been labeled A and 10 have been labeled B. split the remaining 20 mosquitoes into groups C and D.
D. Place each mosquito in its own numbered container (numbered from 1-40) in the order it was caught. Write the numbers from 1 to 40 on slips of paper, put the slips in a jar, and mix them well Pick 10 numbers out of the jar Assign the mosquitoes in the containers with those numbers to group A. Pick 10
more numbers for group B. Pick 10 more numbers for group C. Assign the remaining 10 mosquitoes to group D.
E. When each mosquito is caught, roll a die if the die shows a 1 or 2, the mosquito is labeled A. If the die shows a 3 or 4, the mosquito is labeled B. If the die shows a 5 or 6, the mosquito is labeled C. Repeat this process for 30 mosquitoes Assign the remaining 10 mosquitoes to group D.
Answer: D. Place each mosquito in its own numbered container (numbered from 1-40) in the order it was caught. Write the numbers from 1 to 40 on slips of paper, put the slips in a jar, and mix them well Pick 10 numbers out of the jar Assign the mosquitoes in the containers with those numbers to group A. Pick 10 more numbers for group B. Pick 10 more numbers for group C. Assign the remaining 10 mosquitoes to group D.
Step-by-step explanation:
This way of gathering the mosquitos is more randomized thus ensuring fair and comparable groups of 10 mosquitos each.
Answer:
The answer is D. I took this test!
Step-by-step explanation:
A soccer team practices 3 times a week. Each practice lasts for 110 minutes. The team practiced for 14 weeks during the season.
Answer:
4620
Step-by-step explanation:
3 time110=330 a week
3 times 14=42 pratices
3 times 42 =4620
5 >
4 of 5
Sarah, Fiona and David share £40 in a ratio 3:3:2. How much money does each person get?
Answer:
The answer to this question is 9
Step-by-step explanation:
factor the expression -15 + 6y
Answer:
3(2y - 5)
Step-by-step explanation:
-15 + 6y OR 6y - 15
Since 3 can divide the equation, we will use it to factor the equation;
3(2y - 5)
the difference between two number is 5 and difference in thrie squares is 65 . find the larger number.?
Answer:
it is 9 and 4
Step-by-step explanation:
he is correct
NEED ANSWERS ASAP WITH EXPLANATION PLEASE HELP!!!!!
Mrs. Garza went to dinner at ChaChi's with her family. The food bill was
$58.00. Because the Garza's won the lottery, Mr. Garza tipped the waiter 30%
of the food bill. How much money did the Garza's pay in total, including the
tip?
Answer:
$75.40
Step-by-step explanation:
first you need to find what 30% of 58 is. to find that you would multiply the decimal form of the percentage (so 30% would become 0.3) by 58. this gets you 17.4. then you add that to the original price (58) to get the answer (75.4). then of course you change the format so that it can fit the whole dollar and cent thing so you get $75.40.
hope this helped :))
Jacob drew the following composite figure.
What is the area of this composite figure?
Answer:
978 square inches
Step-by-step explanation:
Which pair of triangles must be similar? Group of answer choices Triangles 1 and 2 each have a 35∘ angle. Triangles 3 and 4 are both isosceles. They each have a 40∘ angle. Triangle 5 has a 30∘ angle and a 90∘ angle. Triangle 6 has a 30∘ angle and a 70∘ angle. Triangle 7 has a 50∘ angle and a 25∘ angle. Triangle 8 has a 50∘ angle and a 105∘ angle.
Answer:
b
Step-by-step explanation:
Vertex of y = -2|x + 11 - 2
Answer:
Ballls lol
Step-by-step explanation:
Why beacon because yes beacon
In the following figure, given a parallelogram ABCD. Find x and y
Answer: Ctrl + U scroll to the bottom and see your answers
Step-by-step explanation:
find the perimeter of polygon rstuv for y= 9
show work please thank you !!!!
Answer: 225 units
Regular pentagons have 5 sides of equal length and 5 angles of equal measure. so if you have one side you can solve the rest. We have y so 5 times y equals 5 times 9=45 units per side. Multiply by the number of sides (5) and you get 225 units.
Azarel spent half of his weekly allowance on comic books. To earn more
money his parents let him clean the windows in the house for $9. What is
hsi weekly allowance if he ended up with $12? *
Answer:
His weekly allowance is $6.
Step-by-step explanation:
You can get the answer by using algebraic expressions.
Let 2x be Azarel's weekly allowance.
Let [tex]\frac{1}{2}[/tex](2x) be the amount after Azarel spends his allowance on comic books.
The equation will be: 12=2x+9-[tex]\frac{1}{2}[/tex](2x)
Let's solve for x:
Step 1: 12=2x+9-x
Step 2: 12=x-9
Step 3: x=12-9
Step 4: x=3
Step 5: Replace 2x with 2(3) = 6
The answer is $6. This is the allowance of Azarel every week. He spends $3 for comic books weekly, which is half of $6.
the perimeter of a rectangular window is 280cm. if the length of the window is 83cm, what is the width
Answer:
the width would be 57cm
Step-by-step explanation:
to find the perimeter you have to add up all of the sides so for this one you would multiply 83 by 2 which would give you 166cm and then subtract it by 280cm which would give you 114cm and then you divide 114 by 2 which would give you 57
