Answer:
B. 56
Step-by-step explanation:
x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350
( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350
5x + 70 = 350
- 70 - 70
_____________
5x = 280
x = 56
Hope this helps!
The smallest number is 56, the correct option is B.
What is Sum?The sum is the output of the mathematical operation, Addition.
Let the first number is x, they are multiples of 7,
As they are multiples of 7, the consecutive numbers will be added by 7 for next term.
The 5 consecutive numbers can be written as x, (x+7), (x+14), (x+21), (x+28).
The equation can be formed for the numbers that are given as,
An equation is a mathematical statement that relates an algebraic expression with other expression by an equal sign.
The sum of the multiples is 350
x + (x + 7 ) + ( x + 14 ) + ( x + 21 ) + ( x + 28 ) = 350
Grouping the variables and the constants separately
( x + x + x + x + x ) + ( 7 + 14 + 21 + 28 ) = 350
5x + 70 = 350
Adding (-70) to both sides of the equation
5x = 280
Dividing both sides by 5
x = 56
The value of the first number of the series is obtained.
The first value is the smallest number of the series.
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Alan draws the two triangles below.
Alan claims that the two triangles are similar. Which of the following methods could he use to prove his claim? Select TWO that apply.
A
show that all pairs of corresponding sides are congruent
B
show that the triangles are congruent, as all congruent triangles are similar
C
show that a sequence of rigid motions and dilations carries one triangle onto the other triangle
D
show that all pairs of corresponding angles are congruent and all corresponding sides are
Answer:
A & D
Step-by-step explanation:
Both use SSS to prove triangles congruent.
Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.
"If and only if the following two conditions are met, two triangles are congruent.
Three corresponding sides have the same value.
The measurements of the three related angles are all equal."
given instance,
Think about the triangles PQR and ABC.
If A = P, B = Q, and C = R
AB = PQ, BC = QR, and AC = PR as well.
If ABC and PQR are congruent triangles, then ABC PQR is the way to write it.
As a result, the following are true statements concerning congruent triangles:
The length of each of the three pairs of corresponding sides is the same.
The three pairs of comparable angles in each case are all of the same size.
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A gym has yoga classes. Each class has 13 students. If there are c classes, write an equation to represent the total number of students s taking yoga.
The value of p (p^2 + p +1) if p =-1
Answer:
The answer is 1
Step-by-step explanation:
p² + p + 1; p = -1
Now, Put p = - 1
p² + p + 1
(-1)² + (-1) + 1
1 - 1 + 1 = 1
Thus, The answer is 1
-TheUnknownScientist 72
Hey there!
p(p^2 + p + 1)
= -1(-1^2 + (-1) + 1)
= -1(-1^2 - 2 + 1)
= -1(-1^2) - 1(-2) - 1(1)
= 1 + 2 - 1
= 3 - 1
= 2
Therefore, your answer should be: 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Would you rather have your boss pay you 10,000 a day for 3 full weeks
Answer:
yes I would............
Alex feeds his cat ⅗ of a can of cat food a day how many cans of cat food should Alex buy each week
Answer:
5
Step-by-step explanation:
3/5 times 7 is 4 1/5 and you cant buy 1/5 of a can so you have to round up to 5
In which quadrant does the graph of the sum of
(-3 – 5i) and (2 + 4i) lie?
Answer:
Third quadrant
Step-by-step explanation:
The complex and real parts can be added separately:
(-3 - 5i) + (2 + 4i) = -1 -i
This shows that the sum would be in the third quadrant of the complex plane as there is negative real and negative imaginary parts.
pls answer quickly
A pool charges $7 for 2 daily pool passes. Which table could represent the situation?
Answer: B
Step-by-step explanation: This answer can be found by just doing process of elimination. A has the numbers switched around, C and D has 2 adding by ones and 7 multipying. Mathmaticlly finding the answer for B, 2 is multiplying my 2, 3 and 4. First, you have 4, then you have 6, and last you have 8. 7 is doing the same thing. 7 multiplied by 2 gives you 14, by 3 gives you 21 and by 4 gives you 28.
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Please answer these
2. A=49 Pi, C=14 Pi 3. A=225 pi, C=30 pi
4. A=104.04, C=20.4 pi 5. A=20.25 pi, C=9 Pi
Answer:
Step-by-step explanation:
make x the subject of the following formula:
ax - ay = cx + by
please help
x = by + ay / a - c
Step-by-step explanation:
Given that
ax - ay = cx + by
Collect like terms
ax - cx = by + ay
Factorize both sides
ax - cx = by + ay
x(a - c) = by + ay
Divide both sides by (a - c)
x(a - c) = by + ay
x = by + ay / a - c
Making x the subject of the formula would be
x = by + ay / a - c
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What is the slope of a line that is parallel
and perpendicular to each line?
Answer:
m1.m2 = -1
Step-by-step explanation:
In the case of the parallel line, the slope of the two lines is parallel to each other.
What -3/4 equals 2/3
Answer:
17/12= 1 5/12
Step-by-step explanation:
make the denominator the same as 12
_______ -9/12 =8/12
so add 8+9 to get 17.then keep the denominator as 12. last simpfie it to 1 5/12
there are 1200 students in a school. if 2/5 are girl what is the number and percentage of boys? find it
Step-by-step explanation:
Hope it will help you...
Find the equation of the line.
y=[ ]x +[ ]
Describe a real life multipication situation for which an estimate makes sense explain why it makes sense. NEEDS TO BE ANSWERED RIGHT NOW
Answer:
I have 20 weddings which need 3 cakes each. How many cakes do I need to get?
20 x 3 = 60 cakes
A 17 ft ladder leans against the side of a house. The top of the ladder is 14 ft off the ground. Find x, the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
Answer:
55.4
Step-by-step explanation:
Think of it as a right angled triangle, the length of the ladder (17ft) is the hypotenuse, the length of the ground (14ft) is the rise, we then use sin to get the angle as the angle of elevation is the angle between the ladder and the ground hence sin^-1 (14/17) and you get your angle.
Plz help me thx
Simplify pt2:
Answer:
π - [tex]\sqrt{17}[/tex]
Step-by-step explanation:
note that [tex]\sqrt{x^2}[/tex] = x
Given
[tex]\sqrt{(\pi -\sqrt{17})^2 }[/tex]
= π - [tex]\sqrt{17}[/tex]
Part A. Jasmine wanted to cut some ribbon into 4 pieces, each 3 2/5 feet long. How big a piece of ribbon did she need to start with?
Part B. When she went to the fabric store, they only had enough ribbon for her to make 2 1/2 pieces that were as long as she wanted. How much ribbon did the fabric store have?
Answer:
pa answer din po please!!
This expression is scientific notation for what number?
8. 10-6
Answer:
20-45 answer should be d good luck sorrybif im wrong
if 21 and 35 are two members of a pythagorean triple, what is the third member?
Answer:
28
Step-by-step explanation:
21^2+28^2=35^2
The third number of the Pythagorean triplet as c = 40.82.
What is Pythagorean triplet? What is a mathematical function, equation and expression? Pythagorean triplet : A Pythagorean triplet consists of three positive integers a, b, and c, such that a² + b² = c².function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that 21 and 35 are two members of a Pythagorean triplet.
We can write the Pythagorean triplet as -
a² + b² = c²
c² = a² + b²
c² = (21 x 21) + (35 x 35)
c² = 441 + 1225
c² = 1666
c = √1666
c = 40.82
Therefore, the third number of the Pythagorean triplet as c = 40.82.
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A triangle has a perimeter of 29 inches. Two of the other sides measure 9 inches and 9 inches. What is the length of the third side?
Answer:
Step-by-step explanation:
The perimeter = side1 + side2 + side3
P = 29
side1 = 9
side2 = 9
29 = 9 + 9 + side3
29 = 18 + side3 Subtract 18 from both sides
11 = side 3
Answer:
hb≈7.12in
a Side
9
in
c Side
9
in
P Perimeter
29
in
γ
c
a
h
b
b
h
b
h
b
c
γ
a
b
a
c
b
γ
P
c
γ
a
b
A
Using the formulas
A=hbb
2
A=s(s﹣a)(s﹣b)(s﹣c)
P=a+b+c
s=a+b+c
2
Solving forhb
hb=﹣﹣P4+4P3a+4P3c﹣4(Pa)2﹣12P2ac﹣4(Pc)2+8Pa2c+8Pac2
2a﹣2P+2c=﹣﹣294+4·293·9+4·293·9﹣4·(29·9)2﹣12·292·9·9﹣4·(29·9)2+8·29·92·9+8·29·9·92
2·9﹣2·29+2·9≈7.1239in
Step-by-step explanation:
The average number of students in ten 5th grade classes is 27. Which of the following can be extrapolated from this information? *
A the average teacher to student ratio
B the average grade of a 5th grader
C the average number of students in all grades
D the average number of students in all 5th grade classes
Answer:
D
Step-by-step explanation:
Answer:
D would be the answer:) hope this helps
HELLPPP
I need help asappp
Answer:
(8,5)
Step-by-step explanation:
x=8
5*8-2y=30
40-2y=30 . subtract 40 from both sides
-2y=-10 . divide both sides by-2
y=5
Which of the following is equal to [(x2y3)-2/(x6y3x)2]3 ?
Answer:
a=√x3y5 or a=−√x3y5
Step-by-step explanation:
Answer:
A, B & D
Step-by-step explanation:
Just did it on Edge
Solve this system of equations using the Substitution Method. Don't forget to write your final answer as a coordinate point. You must show all your work.
3x + y = -2
y = 2x + 3
Step-by-step explanation:
substitute the value of y
3x+2x+3=-2 (collect like term)
5x=-2-3 (calculate the difference)
5x=-5 (both side over 5)
x=-1
i hop it helps you❤
According to the graph, how many students received an 90 for their first semester grade?
A: 0
B: 2
C: 6
D: 15
Rotate the following triangle 90 degrees.
A(4, -3) B(-12, 8) C(6, -4)
Answer:
given vertices of triangle ABC
A(4, -3) B(-12, 8) C(6, -4)
Rotating through 90°
P (x , y) -----> P' (y , -x)
A(4, -3) ------> A' ( -3 , -4 )
B(-12, 8) -----> B' (8 , 12 )
C(6, -4) ------> C' (-4 , -6)
write an equation in slope intercept form of the line that passes through the points (-3,6) and (0,0)
Answer:
y=-2x
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-6)/(0-(-3))
m=-6/(0+3)
m=-6/3
m=-2
y-y1=m(x-x1)
y-6=-2(x-(-3))
y-6=-2(x+3)
y=-2x-6+6
y=-2x
Note that the slope-intercept form is y=mx+b where m=slope and b=y-intercept.
Need help ASAP! Directions in picture;)
Answer:
x+43⁰+52⁰=180⁰ [being triangle]
x⁰+95⁰=180⁰
x⁰=180⁰-95⁰
x⁰=85⁰
what is 0.1 is 1/10 of what number???
Answer: 0.1 is 1/10 of 1.
Step-by-step explanation:
Commercial agents earn 5% of the cost of each product they sell. If an agent earns
S2000 for selling a product, what was the cost of the product?
Based on the information the cost of the product is $40,000.
Given:
Percentage earn=5% or 0.05
Amount earned=$2,000
Let x represent the cost of the product
Hence:
Formulate
.05x = $2000
Divide both sides by .05
x=$2,000/.05
x=$40,000
Inconclusion the cost of the product is $40,000.
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