[please answer asap!! :) limited amount of time and will give brainliest or whatever it’s called!!]

The length of each side of an equilateral triangle is increased by 5 inches, so the perimeter is now 60 inches. Write and solve an equation to find the original length of each side of the equilateral triangle.

Answers

Answer 1
P=3a (perimeter = a+a+a) ( “a” is the length of each side)

60 = 3a

60/3 = a

20 = a
Each side is currently 20
Then you subtract 5 to get your original length

a = 20 - 5
a = 15
The original length of each side of the equilateral triangle is 15.

Related Questions

Please help me with this question. Thank you

Answers

Answer:

9.

Step-by-step explanation:

6 9 12 15:-  multiplying by 3.

Answer:

B) 9

Step-by-step explanation:

When looking in both the horizontal and vertical direction of the missing space, we can see that the difference between the two numbers, 12 and 15, is 3.

15 - 12 = 3

Using this, we can see that each space on the second row and second column change by 3. Therefore, when looking at the missing space in the sequence, we can figure out that it is 9 by adding 3 to 6.

if two dice are thrown together , what is the probability of getting an even number on one die and odd number on the other die ?

Answers

Answer:

1/2

Step-by-step explanation:

the probability of the die rolling an even number  =  the probability of the die rolling an odd number  =1/2

Let us name these  2  dice as  A  and  B

One die can roll an even and the other can roll an odd, in the following cases

A  rolls even and  B  rolls odd. The probability of this happening  =1/2×1/2

A  rolls odd and  B  rolls even. The probability of this happening  =1/2×1/2

∴  The required probability

=1/2×1/2+1/2×1/2

=1/4+1/4

=1/2

how many kilometers per hour would she have been traveling over the speed limit of 60 if covered a distance of 10 km in 5 minutes

Answers

Answer:

60 MPH over the limit

Step-by-step explanation:

5 times 12 - 60

Find the are of the shaded region. Are of a triangle = 1/2 base x height . 2w+2 < height. Width is 3w-1

Answers

The formula for the area of a triangle is 1 / 2 × base × height. This formula can be more easily written as Area = 1 / 2 bh. The formula of Area = 1 / 2 bh works for all triangles, no matter what size or shape.

An object moves at a speed of 20 yards per second.
What is the object's speed, in feet per second?
(1 yard = 3 feet)
A) 17
B) 23
C) 50
D) 60

Answers

Let's see

[tex]\\ \rm\Rrightarrow speed=20yd/s[/tex]

See unit given to change is ft/sSo only numerator we need to change

[tex]\\ \rm\Rrightarrow Speed=20(3)=60ft/s[/tex]

Option D

gabriella anwswered 72 questions correctly on her multiple choice history final and earned a grade of 36%. how many total question were on final exam

Answers

Answer:

200 questions

Step-by-step explanation:

Here,

total answers Gabriella answered=72

grade = 36%

total number of question = ?(X)

We know,

36% of X = 72

or, 36x/100 = 72

or, 36x = 72*100

or, x = 7200/36

or, x = 200

25 points

Jose is in 8th grade, and he is researching his favorite colleges. He notices that the current cost of tuition, books and fees at one 4-year college is $14,500 per year.

What will be the total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years?

Answers

Here, we are given the cost of Jose for 1 year for attending college i.e $14500/year, and we need to find the total cost for Jose to attend college for 4 years, so here we can just use unitary method, we can just multiply the whole cost for 1 year by 4, to get the total cost for 4 years, as :

[tex]{:\implies \quad \sf Cost\:\: for\:\: 1\:\: year= \$14500}[/tex]

Now, multiplying by 4 on both sides will yield :

[tex]{:\implies \quad \sf Cost\:\: for\:\: 4\:\: years= \$14500\times 4}[/tex]

[tex]{:\implies \quad \boxed{\bf{Cost\:\: for\:\: 4\:\: years= \$58000}}}[/tex]

This is the required answer

The total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.

Total cost of tuition

Using this formula

Total cost of tuition=Cost of tuition books and fees×Number of years

Where:

Cost of tuition books and fees=$14,500 per year

Number of years=4 years

Let plug in the formula

Total cost of tuition=$14,500 per year x 4 year

Total cost of tuition=$58,000

Inconclusion the total cost of tuition, books, and fees for Jose if he eventually chooses to attend this college for four years is $58,000.

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A right rectangular prism has a length of 2 1/2 feet, a width of 3 feet, and a height of 1 1/2
feet. Unit cubes with side lengths of 1/2 foot are added to completely fill the prism with no space remaining. What is the volume, in cubic feet, of the right rectangular prism?

Answers

Answer: 11.25 ft³

Step-by-step explanation:

     We can use the volume formula to solve. I will turn the halves into 0.5 for calculation purposes.

V = L * W * H

V = 2.5 * 3 * 1.5

V = 11.25 ft³

       The volume of the rectangular prism is 11.25 ft³.

If x2 mx m is a perfect-square trinomial, which equation must be true? x2 mx m = (x – 1)2 x2 mx m = (x 1)2 x2 mx m = (x 2)2 x2 mx m = (x 4)2

Answers

An expression has numbers, variables, and mathematical operations. The equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

A perfect square trinomial is in the form (a+b)²=a²+b²+2ab. If we compare the perfect square trinomial x²+mx+m, we will get that the value of m should be such that it satisfies the equation [tex]m^2+2m[/tex]. Since there is only one value that can satisfy this equation that is 2.

Therefore, the equation that must be true so that x²+mx+m is a perfect square trinomial is x²+mx+m=(x+2)².

Learn more about Expression:

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If f(x) = 3x 2 and g(x) = x2 1, which expression is equivalent to (f circle g) (x)? (3x 2)(x 2 1) 3x 2 1 2 (3x 2)2 1 3(x 2 1) 2

Answers

The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. The correct option is D.

What is a factor?

A number is obtained by dividing another number by itself without leaving a leftover. To put it another way, if multiplying two whole numbers produces a product,

The given expression is;

[tex]f(x) = 3x + 2 \\\\ g(x) = x_2 + 1[/tex]

[tex](f g)(x) =g(f(x)) =g(3x+2)=(3x+2)^2 +1[/tex]

The expression is equivalent to (f circle g) (x) will be (3x+2)²+1. Option D is correct.

To learn more about the factors refer to the link;

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please help would appreciate so much​

Answers

How many flowers they buy each time total
5+7=12

How many times they buy flowers
96/12 = 8 times

How many roses? 5 each time for 8 times

5*8 =40

rachel bought an equal number of bowls and plates for$96. each plate cost $2 and each bowl cost $4 more than each plate. how much did she spend on all the plates

Answers

Answer:

$24

Step-by-step explanation:

Cost per plate: $2

Cost per Bowl: $2 + $4 = $6

Cost of 1 Plate and 1 Bowl: $2 + $6 = $8

Total cost of $96 divided by Cost of 1 Plate and 1 Bowl $8 = 12 sets of 1 Plate and 1 Bowl

12 plates x $2 Cost per Plate = $24

Answer:

$24

Step-by-step explanation:

Let [tex]b[/tex] = bowl

Let [tex]p[/tex] = plate

Given:

Equal number of bowls and plates for $961 plate = $2 1 bowl = $4 + $2 = $6

1) We can translate these into algebra. Since Rachel has equal number of bowls and plates, [tex]b=p[/tex], totaling to $96.

[tex]b=p\\2p + 6b = 96[/tex]

2) We can solve for [tex]p[/tex] these two equations simultaneously using the substitution ot elimination method. I will demonstrate using the substitution method here.

[tex]2p + 6(p) = 96\\2p+ 6p = 96\\8p = 96\\p = \frac{96}{8} \\p = 12[/tex]

So, Rachel bought 12 plates and 12 bowls since plates are equivalent to bowls.

3) Use ratio to find the the cost of the plates.

[tex]1p[/tex] = $2

[tex]12p[/tex] = $24

How much paper will be needed to cover the triangular prism shown?


A. 86 in2
B. 96 in2
C. 102 in2
D. 210 in2

Answers

The answer is 86

Yw :D

From the top of a building 37 feet high, the angle of depression to a car stopped on the ground is 19 degrees. What is the distance from the car to the base of the building?

Answers

The distance from the car to the base of the building is 107.46 feet

Angle of elevation and depression

From the question We are given the following information

Angle of depression

Height of the building H = 37 feet

Required

distance from the car to the base of the building

Using the SOH CAH TOA identity

tan 19 = opp/hyp

tan 19 = 37/B
B = 37/tan 19
B = 37/0.34432
B = 107.46

Hence the distance from the car to the base of the building is 107.46 feet

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Estimate 6 divided by 253 please show the work

Answers

0.023...

hope it helps...!!!

A cylindrical can has an 8-cm radius and a height of 11 cm. Find its surface area.​

Answers

Answer:

955.168 cm²

Step-by-step explanation:

The formula to find the surface area of a cylinder is :

Surface area = 2 π r ( r +  h )

Here,

r ⇒ radius ⇒ 8 cm

h ⇒ height ⇒ 11 cm

So, Let us solve now.

Surface area = 2 π r ( r +  h )

Surface area  = 2 × 3.142 × 8 ( 8 + 11 )

Surface area  = 50.272 × 19

Surface area  = 955.168 cm²

HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]192cm^{2}[/tex]

Step-by-step explanation:

[tex]A = \frac{1}{2} bh[/tex]

We know that b is the measurement of the base, 12, and h is the height of the cone, 32. Now we can simply insert those numbers into the equation and solve it.

[tex]A = \frac{1}{2} (12*32)\\\\A = \frac{1}{2} (384)\\\\A = \frac{384}{2} \\\\A = 192[/tex]

Dana just finished paying off the $15,400 loan she took out four years ago. the loan had 6.68% interest, compounded monthly. if dana paid a total of $18,321.60, how much did she pay in service charges? a. $730.08 b. $366.49 c. $1,028.72 d. $266.76 please select the best answer from the choices provided a b c d

Answers

If Dana paid a total of $18,321.60, then the amount that she paid for in service charges will be $730.08

What is Compound interest?

Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.

For service charge

[tex]\rm Pv = PMT[(1 - (1 + (r/k))^{-kn}) / (r/k)][/tex]

Where;

Pv is the amount of the loan = $15400

PMT is monthly payment

R is interest rate = 6.68% = 0.0668

K is number of times compounded monthly = 12

N is time = 4years

PMT the subject of the formula gives

[tex]PMT = Pv/ [(1 - (1 + (r/k))^{-kn}) /(r/k)][/tex]

PMT = 15,400 ÷ ((1 − (1 + 0.0668 ÷ 12)^(−12 × 4)) ÷ (0.0668 ÷ 12))

PMT = 366.49

Thus, the total amount paid

A = 366.49 × 12months × 4years

A = $17,591.52

Thus, the Service charge is

S.C = 18,321.60 − 17,591.52

S.C = $730.08

Read more about Compound interest;

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A rectangular banquet room has an area of 182 square meters and a perimeter of 54 meters. Let l and w represent the dimensions of the room in meters. Which statements describe the dimensions of the banquet room? Select all that apply.

Answers

Answer:

Choose all but C

Step-by-step explanation:

Givens

Area = 182 m^2

Perimeter = 54 m

Solution.

B: solves for the length, not the width. Area = L*w. Area / w = L. But to get to the length, you need to solve for the width. So this statement can be used. B is true.

C is not true. The length and width differ by 1 which means one of them is even and the other is odd. See below under A.

D is also true. 2L = 54 - 2w   Divide both sides by 2

2L/2 = 54/2 - 2w/2

L = 27 - w

E is true.

L * w = 182                              Divide both sides by w

L = 182/w

The only one we don't know about is A. We have to solve the problem to get the answer to A.

P= 2L + 2w = 54

2L + 2w = 54

L + w = 27

L = 27 - w

L*w = 182

(27 - w ) * w  = 182                   Remove the brackets

27w - w^2 = 182                      Subtract 27w - w^2  from both sides.

0 = w^2 - 27w + 182                Notice the sign change. Subtraction does that.

This factors into

(w - 13)(w - 14)

A turns out to be true, because w can be 13 or 14. When W = 13, L = 14.

When w = 14, L = 13

Tom is in a diving competition. (a) The score, S, for a dive is 60% of the total mark, m, multiplied by the difficulty
factor of the dive, d.
Write down the formula for calculating S in terms of m and d.

Answers

Answer:

S = 0.6md

Step-by-step explanation:

Formula

S = (60% of m) x dConvert 60% to decimal60%/100% = 0.6⇒ S = 0.6md

[tex]⟼ \sf \: \blue { \boxed{s \: = 0.6m \times d}}[/tex]

Step-by-step explanation:

To obtain a formula for S which is score

As, we know it 60% is equal to 0.6

Therefore,:

[tex]⟼ \sf \: \green { \boxed{s \: = 0.6m \times d}}[/tex]

In conclusion, according to the word problem the score was 60% the total mark multiplied by difficulty as and as we all know it 60% equals 0.6 therefore the score equals 0.6m which is Marks × difficulty factor of the dive

#Study hard

Can someone help me with this please
y – 6 ≥ 12

Answers

That would probably be 72 becuase if you multiply 12 and 6 it would be 72 hope that helps!!

What is 5/8 times 1/2

Answers

Answer:

5/16

Step-by-step explanation:

When multiplying fractions, you multiply the numerator by the numerator & the denominator by the denominator.

So 5/8 x 1/2 = 5 x 1/8 x 2 = 5/16

PLEASE HELP I WILL GIVE BRAINLIEST IF CORRECT

16,22,17,23,22,16,25,19

17,23,20,28,35,21,32,21

The data set above displays the ages of the employees at grind coffe shop. Which of the following box plots represents the data set above?​

Answers

The box plot that represents the ages of the employees at grind coffee shop is the third box plot.

What is a box plot?

It should be noted that a box plot simply means a chart that is used in explanatory data analysis.

In this case, the box plot that represents the ages of the employees at grind coffe shop is the third box plot. It shows the distribution of the numerical data given.

Learn more about box plot on:

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Answer:

Step-by-step explanation: All I can tell you is the answer was not Y.

Please help me I can’t figure it out

Answers

Answer:

Your answer is 4

Step-by-step explanation:

(52 - 2(2)) / (9 + 3)

(52 - 4) / (9 + 3)

48 / 12 = 4

8
5.1
What is the area of the parallelogram?

(Please my geometry is due tomorrow an I haven’t even started yet)

Answers

Answer:

s the answer is 40

n

Step-by-step explanation:

a the formula is A=bh

p so 8*5=40

dsan168

651 x 5 porfavor ayudenme SIN CALCULADORA - please help me NO CALCULATOR

Answers

Answer:

3,255

Step-by-step explanation:

,

A piece of wood that is 3/4 meter long is being cut into smaller pieces that are each 1/10 meter long. Which equation could be solved to find the number of pieces, n, that can be made?

Answers

Answer:

7 1/10 meter long pieces ca be made.

Step-by-step explanation:

First, find the common denominator between 3/4 and 1/10. If you multiply 1/10 by 2/2 you get 2/20. If you multiply 3/4 by 5/5 you get 15/20. Now that we have the common denominator, how many times can 2/20 go into 15/20? Since 2 x 7 = 14, the answer is 7.

Is this triangle acute, right or obtuse?

Triangle



Acute


Obtuse


Right

Answers

Answer:

ill say acute

Step-by-step explanation:

if im wrong tell me but if im not pls mark brainllest!

Answer:

This triangle is Acute.

Step-by-step explanation:

To figure this out you add the length of the two smaller sides if the sum is greater than the longest side then the answer is Acute. I really hope this helps have a wonderful day!

Alicia and Bennie have decided to play a game. They each draw as many flowers on paper as they can within one

minute, repeating this game many times. The number of flowers Alicia draws and the number of flowers Bennie

draws are independent. The number of flowers Alicia draws within 1 minute, A, is approximately Normally distributed

with a mean of 38 flowers and a standard deviation of 1. 8 flowers. The number of flowers Bennie draws in 1 minute,

B, is approximately Normally distributed with a mean of 41 and a standard deviation of 2. 6 flowers. Let D represent

the difference, A - B in the number of Alicia's and Bennie's flowers drawn in 1 minute

What is the probability that Alicia draws fewer flowers than Bennie in any 1 minute?

Answers

Answer:

0.829

Step-by-step explanation:

Which statement is true? the equation –3|2x 1.2| = –1 has no solution. the equation 3.5|6x – 2| = 3.5 has one solution. the equation 5|–3.1x 6.9| = –3.5 has two solutions. the equation –0.3|3 8x| = 0.9 has no solution.

Answers

The statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.

How to find one solution of equation?

If the equation is given a unique and single value of variable after solving then the equation is said one solution equation. Such equation gives exactly one solution.

The three types of solution of an equation are-

One solution-When the provides the singe value of the given variable, we get one or unique solution.No solution-When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.Infinite many solution-For the same line, the equation has the infinite many solutions.

The first equation given in the problem is,

[tex]-3|2x+ 1.2| = -1[/tex]

This equation has one solution. This in not correct option.

The second equation given in the problem is,

[tex]3.5|6x - 2| = 3.5 \\|6x-2|=0\\6x=2\\x=\dfrac{2}{6}\\x=\dfrac{1}{3}[/tex]

This equation has one solution. This in correct option.

Hence, the statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.

Learn more about the solution of the equation here;

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