Answer:
There are 1,890 seats in the hall
Step-by-step explanation:
The number of seats in the first row = 20 seats
The number of rows in the hall = 35 rows
The number of additional seat per row = 2 Seat
Therefore, the sequence of seats in the hall is an arithmetic sequence with the first term, a = 25, the common difference, d = 2, and the number of terms, n = 35
The formula for finding the sum of n-terms of an arithmetic progression, Sₙ is given as follows;
Sₙ = n/2 × [2·a + (n - 1)·d]
Plugging in the values, we get;
Sₙ = 35/2 × [2 × 25 + (35 - 1)×2] = 1890 seats
Therefore, there are 1,890 seats in the hall.
Martin combines 8.65 liters of red paint with 8.09 liters of blue paint to make purple paint. He pours the paint equally into 4 containers and has 2.78 liters of paint leftover. How many liters of paint are in each container
Answer:
3.49 liters of paint in each container
Step-by-step explanation:
So he started off with 8.65 + 8.09 which is 16.74. Then he poured it equally into 4 containers and had 2.78 leftover. so you tak 16.74 - 2.78 which is 13.96. Lastly you divide 13.96 by 4 which is 3.49
I believe this is correct!
Answer:
3.49 liters per container
Step-by-step explanation:
First we need to find the total amount of paint
8.65+8.09=16.74(total amount of paint)
Now subtract 2.78 from 16.74 and then divide that by 4
16.74-2.78=13.96
13.96/4=3.49
15. 26.54-p=0.5(50-p)
Answer:
p=3.08
Step-by-step explanation:
Identify whether the function f(x)= -3.2^1/6 is a monomial function, power function, both, or neither?
A.) Both
B.) Monomial
C.) Power
D.) Neither
Answer:
both
Step-by-step explanation:
both plus power = neither
What are the missing parts that correctly complete the proof?
Given: Point P is on the perpendicular bisector of segment A B. Prove: Point P is equidistant from the endpoints of segment A B. Art: A horizontal line segment A B with X as the midpoint is drawn. A vertical line X P is drawn. P is above the horizontal line. The angle P X B is labeled as a right angle. The line segments A X and B X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point P with point B.
Drag the answers into the boxes to correctly complete the proof.
Statement Reason
1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given
2. Response area Definition of bisector
3. ∠PXA and ∠PXB are right angles. Response area
4. Response area All right angles are congruent.
5. PX¯¯¯¯¯≅PX¯¯¯¯¯ Reflexive Property of Congruence
6. Response area SAS Congruence Postulate
7. Response area Corresponding parts of congruent triangles are congruent.
8. Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant
What are the missing parts that correctly complete the proof?
Given: Point P is on the perpendicular bisector of segment A B. Prove: Point P is equidistant from the endpoints of segment A B. Art: A horizontal line segment A B with X as the midpoint is drawn. A vertical line X P is drawn. P is above the horizontal line. The angle P X B is labeled as a right angle. The line segments A X and B X are labeled with a single tick mark. A dotted line is used to connect point P with point A. Another dotted line is used to connect point P with point B.
Drag the answers into the boxes to correctly complete the proof.
Statement Reason
1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given
2. Response area Definition of bisector
3. ∠PXA and ∠PXB are right angles. Response area
4. Response area All right angles are congruent.
5. PX¯¯¯¯¯≅PX¯¯¯¯¯ Reflexive Property of Congruence
6. Response area SAS Congruence Postulate
7. Response area Corresponding parts of congruent triangles are congruent.
8. Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant
Answer:
1. point p is on the perpendicular bisector of AB¯¯¯¯¯- given
2. AXP≅BXP. definition of bisector
3. ∠PXA and ∠PXB are right angles. definition of perpendicular
4. ∠PXA≅ ∠PXB. All right angles are congruent.
5.PX¯¯¯¯¯≅PX¯¯¯¯¯ Reflexive Property of Congruence
6.AXP≅AXQ. SAS Congruence Postulate
7.AX¯¯¯¯¯≅BX¯¯¯¯¯
8.Point P is equidistant from the endpoints of AB¯¯¯¯¯. Definition of equidistant
Step-by-step explanation:
Answer:
1. Point P is on the perpendicular bisector of AB¯¯¯¯¯. Given
2. AX¯¯¯¯¯≅BX¯¯¯¯¯¯ . Definition of bisector
3. ∠PXA and ∠PXB are right angles . Definition of Perpendicular
4. ∠PXA and ∠PXB . All right angles are congruent.
5. PX¯¯¯¯¯≅PX¯¯¯¯¯ . Reflexive Property of Congruence
6. △AXP≅△BXP . SAS Congruence Postulate
7. PA¯¯¯¯¯≅PB¯¯¯¯¯ . Corresponding parts of congruent triangles are congruent
8. Point P is equidistant from the endpoints of AB¯¯¯¯¯ . Definition of equidistant
Step-by-step explanation:
HELP PLEASE! WILL GIVE BRAINLESIT!
Answer:
B
Step-by-step explanation:
The ratio of students who made
the honor roll to the total number
of students is 1:50. If there are
500 students in total, how many
made the honor roll?
Answer:
10 is the answer. 1:50 is 10:500 simplified
Step-by-step explanation:
500÷50=10.
The product of x and three is negative-27. What is x?
Answer:
The count of variables 5 (d,f,i,n,x) is different from the number of equations 1.
Step-by-step explanation:
6) Which number is an irrational number?
a. 5.499
c. -V9
b. 717
d. -10
a
b
d
Subtract x2 - 2x - 6 from - 6x + 5
Negative 5 over 4, multiplied by x minus 5 equals negative 35. I need some help please.
Answer:
-5/4 × x - 5 = -5
Step-by-step explanation:
Let's solve your equation step-by-step.
−5
4
x−5=−5
Step 1: Add 5 to both sides.
−5
4
x−5+5=−5+5
−5
4
x=0
Step 2: Multiply both sides by 4/(-5).
( 4 −5 )*( −5 /4 x)=( 4 −5 )
*(0)
x=0
factor 48m+42n to identify the equivalent expression
Answer:
6⋅(8m+7n)
Step-by-step explanation:
I think this is you're answer.
Answer:
6(8m+7n) and 3(16m+14n)
Step-by-step explanation:
Caleb paid $4.50 for 12 bagels. Which of the following have a unit price for bagels that is greater than the unit price Caleb pald? Select all that
apply
A) $2.25 for 6 bagols
B) $13.50 for 10 bagels
c) $3.30 for 6 bagols
D) $5.00 for 12 bagets
E) $8.10 for 18 bagels
Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.
unit price of something is price of 1 thing.
LEts suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
Given that Caleb paid $4.50 for 12 bagels.
Unit price = 4.50 / 12 = 0.375
A) $2.25 for 6 bagols
Unit price = 2.25 / 6 = 0.375
B) $13.50 for 10 bagels
Unit price = 13.50 / 10= 1.35
c) $3.30 for 6 bagols
Unit price = 3.30 / 6 = 0.55
D) $5.00 for 12 bagets
Unit price = 5.00 / 12 = 0.41
E) $8.10 for 18 bagels
Unit price = 8.10 / 18 = 0.45
Hence, Options B, C, D, and E have a unit price for bagels that is greater than the unit price Caleb pald because all their unit prices are higher then what Caleb paid.
Learn more about unit price here:
https://brainly.com/question/945712
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PLEASE HELP AND ANSWER FAST!!! :( Della has $575.38 in her checking account. What is the balance after she makes a deposit of $50.00 and a withdrawal of $85.45?
A. $539.93
B.558.45
C. 561.63
D.603.73
Answer:
A. $539.93
Step-by-step explanation:
Calculator
Answer:
a. 539.93
Step-by-step explanation:
UsaTestPrep Im smart
Consider the statement: 4 − 3 + 5 = −6 + 8 + 4. This is a mathematically
correct sentence.
Answer:
yes it is true
Step-by-step explanation:
they both equal 6
Answer:
no.
Step-by-step explanation:
4-3+5= -6+8+4
-4 does not equal 6
Sergio wants to go the Empire State Building. The shortest path from the airport to the Empire State Building is about 14.4 miles long. What will be the cost of using Uber rush ?
Answer:
$5.76 should be the answer as 14.4 divided by 2.50 gets the answer.
Step-by-step explanation:
In a certain rectangle, the ratio of the lengths of
2 adjacent sides is 5 to 2. If the area of the rectangle is
90 square inches, what is the length, in inches, of the
longer side?
A. 6.
B. 9
C. 15
D. 18
E. 45
Answer:
C. 15
Step-by-step explanation:
The longer side is 15 and the shorter side is 6.
15*6=90
reduce 15 by dividing it by 3
=5
reduce 6 by dividing it by 3
=2
therefore, the ratio is 5:2
How add integres with differents sings
To add integers with different signs, subtract the lesser absolute value from the greater absolute value. Use the sign of the integer with the greater absolute value for the sum. The following steps will be useful to find the sum of two numbers with different signs.
(-) + (-) = (-)
(-) - (-) = solve the equation like (-) + (+)
(+) + (+) = (+)
(+) - (+) = (+) or (-)
(+) + (-) = solve the equation like (+) - (+)
(+) - (-) = solve the equation like (+) + (+)
(-) + (+) = (+) or (-)
i think i covered them but tell me if i missed sum.
5x + 3 = 3x + 9 what is the value of x
Answer:
x = 3
Step-by-step explanation:
5x + 3 = 3x + 9
subtract 3 on both sides (cancels out 3) (inverse operation)
5x = 3x + 6
subtract 3x on both sides (cancels out 3x) (inverse operation)
2x = 6
divide both sides by 2 (isolates x) (simplifies)
x = 3
Which description could be written as a linear function?
a) eight more than twice a number
b) three more than the product of two numbers
c) ten more than the square of a number
d) nine more than one divided by a number
Question:
Which description could be written as a linear function?
Answer:
Option a)
Explanation:
Let 2 numbers be x1 and x2.
For the first option:
Eight more than twice a number.
The graph would be y = 8 + 2x1 which is a linear function.
For the second option:
Three more than the product of two numbers.
The graph would be y = 3 + x1x2 which is a graph function.
For the third option:
Ten more than the square of a number.
The graph would be y = 9 + (x1)² which is a graph function.
For the fourth option:
Nine more than one divided by a number.
The graph would be y = 9 + 1/x1 which is a double-parabole function.
Hopefully this answer will help you.
Answer: option a
Step-by-step explanation:
Just took the test
Which expression is NOT equivalent to 4 x 3/8
Answer:
yea
Step-by-step explanation:
what are the parent function in transformation
Answer:
The transformation of the parent function is shown in blue. It is a shift down (or vertical translation down) of 1 unit. A reflection on the x-axis is made on a function by multiplying the parent function by a negative.
Step-by-step explanation:
A math test had 26 questions. The questions were either true/false or multiple choice. The true/false questions were worth 2 points each and the multiple choice were worth 5 points each. If the test is worth 100 points, how many of each type of question are included on the test?
Answer:
True/ false type 10 questions
Multiple choice type 16 questions
Step-by-step explanation:
Using the given formation we can make equations to solve for the number of questions of either type is to be included
let the no of true/false be =x
let the number of multiple choice to be included be = y
x + y=26 .............(1)
now making the equation of points
2x + 5y = 100 .........(2)
substitute y = 26-x from first equation in the second equation
2x + 5(26 - x ) = 100
2x - 5x + 130 = 100
3x=30
x=10
y =26-10=16
Lincoln Middle School had a canned food drive. The 6th graders brought in 5.75 boxes of canned food, the 7th graders brought in 6.5 boxes of canned food, and the 8th graders brought in 7 1/3
boxes of canned food. What was the total number of boxes of canned food brought in by the three grades?
Everybody brought in 19.25 boxes of food
Brainliest, please.
he quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O (not shown) with scale factor 3.
Answer:
P”Q=3PQ
Step-by-step explanation:
I need help finding (x) step by step please:) I will reward you will awarding you as a brainliest if you can do this for me.
Answer:
95°
Step-by-step explanation:
The sum of interior angles in a pentagon is 540°
100° + 145° + 120° + 80° + x = 540°
445° + x = 540°
x = 95°
Do these 3 side lengths form a right triangle? (Yes or no question): 39 ft, 32.5 ft, 48.5 ft
Answer: the answer is no
Step-by-step explanation:
no, it is not a right triangle
Step-by-step explanation:
39 square+32.5 square=48.5 square
1,521+1056.3=2, 352.3
2577.3=2352.3
it's not the same so the result it no
pls help me out ill give brainlyist
Answer:
B) y=3x+4.5
Step-by-step explanation:
The diagram shows a triangle PQR.
XYZR is a parallelogram where
X is the midpoint of RP,
Y is the midpoint of PQ,
and Z is the midpoint of QR.
Prove that triangle PYX is congruent
to triangle YQZ.
Total marks: 4
Answer:
Triangle ΔPYX is congruent to triangle ΔYQZ by Angle-Angle-Side condition of congruency
Step-by-step explanation:
The given
Statement [tex]{}[/tex] Reason
PQR is a triangle [tex]{}[/tex] Given
XYZR is a parallelogram [tex]{}[/tex] Given
X is the midpoint of RP [tex]{}[/tex] Given
Y is the midpoint of PQ [tex]{}[/tex] Given
Z is the midpoint of QR [tex]{}[/tex] Given
Therefore;
QY = YP, Definition of midpoint
XY is parallel to QR, and YZ is parallel to RP Midpoint theorem
Therefore, ∠PYX ≅ ∠PQR and ∠QZY ≅ ∠YXP Corresponding angles of parallel lines
From which we have;
Triangle ΔPYX is congruent to triangle ΔYQZ by Angle-Angle-Side condition of congruency.
find x (explain only)
2/3x - 5 = 13
i know that the answer is x = 27 but i dont understand how.
EXPLAIN BY STEPS!
Explain? Okee!
2/3x-5 = 13
First add 5 on both sides.
2/3x = 18
Now multiply 2/3 on both sides.
x = 12
Woops! It seems you made a mistake. X is not 27, but it is 12.
x = 12
what is 86,503 written in expanded form
Answer:
80,000+6,000+500+3
Step-by-step explanation:
Decode it
Answer:
eighty- six thousand five-hundred and three
Step-by-step explanation:
