Geometry- Solve the portion. Question#3​

Geometry- Solve The Portion. Question#3

Answers

Answer 1

Answer:

[tex]a=1[/tex]

Step-by-step explanation:

First let's put our equation[tex]\frac{1}{a+3}=\frac{4}{16}[/tex]Cross - Multiply[tex]4a+12=16[/tex]Subtract both sides by 12[tex]4a=4[/tex]Divide both sides by 4[tex]a=1[/tex]
Answer 2

Answer:

a=1

Step-by-step explanation:

Hi there!

We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a

Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.

Therefore, the proportion will now be:

[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]

Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)

1(a+3)=4(1)

Multiply

a+3=4

Subtract 3 from both sides

a=1

Hope this helps!


Related Questions

(a + 2)/(a ^ 2 + a) - 3/(a - 2)​

Answers

Answer:

Step-by-step explanation:

(a + 2)/(a ^ 2 + a) - 3/(a - 2)​

The LCD is (a^2 + a)(a - 2) so we have

[(a + 2) - 3(a^2 + a)] /  (a^2 + a)(a - 2)

= (-3a^2 - 3a + a + 2) / (a^2 + a)(a - 2)

= -3a^2 - 2a + 2 / (a^2 + a)(a - 2)

Kyla made 15 cups of pudding for a class. If there are 20 students in the class, how much with each student get? Write your answer as a fraction in lowest terms..

Answers

3/4 a cup
I believe this is the answer

Answer:

Each student get 3/4 cups.

Step-by-step explanation:

15÷20=0.75

turn into fraction

3/4

I answer this question before

mike drove 10 miles in 30 minutes, what's the average speed in miles per hour

Answers

Mike is driving 20 miles per hour

If he is driving 10 miles in 30 mins
(1/2 an hour) if you times both by two it tells you the MPH that Mike is driving.

.3 times the value of 8/4 of positive a witch equals the sum of what
a =34.55

Answers

Answer:

I have difficulty understanding the question.  I read it as "What is the value of  a number that when multiplied by 0.3 times (8/4) is equal to 34.55.  This doesn't seem correct, but if it is:

Step-by-step explanation:

(0.3)*(8/4)x = 34.55

(8/4)x = 115.17

x = (4/8)*(115.17)

x = 57.58

21 is the correct answer.

Jack estimates that a piece of wood measures 4.5 cm. If it actually measures 4.72 cm, what is the percent error of Jack’s estimate? (Show all of your work)

Answers

Answer:

ion

Step-by-step explanation:srry

1.
Which of the following equations describes the graph?
A. y= -x^2 + 1
B. y= x^2 - 1
C. y= x^2 + 1
D. y= -x^2 - 1

Answers

Answer:

A. y= -x^2 + 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

2

3

1

0

0

1

1

0

2

3

________________________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

2

3

1

0

0

1

1

0

2

3

__________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

5

1

2

0

1

1

2

2

5

_________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

2

5

1

2

0

1

1

2

2

5

Which expression uses the associative property to make it easier to evaluate 143 - Ž)? 2 CAN O A. 7(a ) O B. (145) ( O C. 143.5) O D. (14.) SUBMIT​

Answers

Answer:

the answer would be c brainlest if right :0

Step-by-step explanation:

Hello!

-----------------------------------------------------------------------------------------------------------------

I presume the answer is Option C.

It's much easier to evaluate this expression than the other ones.

Hope it helps!

~SparklingFlower

-----------------------------------------------------------------------------------------------------------------

train tickets cost $48 for adults and $32 for children there are 27 adults and 55 children on the train how much did the passengers pay to ride the train​

Answers

$3,056
work
adult tickets:48x27=1296
children tickets: 55x32=1760
add the two totals 1296+1760= 3056

What is Part 1 and Part 2? I think I have these correct.

Answers

Step-by-step explanation:

part 1. Alternate Exterior angle

part 2. 110°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

-
1.) -x + 5y = 49
X =
X - 4y = - 39
-
=

Answers

Answer: (1,10)

Step-by-step explanation:

Assuming these are the correctly written equations:

-x + 5y = 49, and

x - 4y = -39

I'll rewrite them:

5y = x + 49

y = (1/5)x + (49/5)

-4y = -x -39

y = (1/4)x + (39/4)

=====

I'll assume the question is to find the point these two lines intersect (?).

See the attached graph.  They intersect at (1,10).

Let l be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x and y vary with time. If x increases at a constant rate of 19 ft/s and y decreases at a constant rate of 15 ft/s, how fast is the size of the diagonal changing when x

Answers

The rate of change of the size of the diagonal is; 25.2 ft/s

By Pythagoras theorem;

The length, l of a diagonal of a rectangle whose sides have lengths x and y is;

l² = x² + y².

In essence; the length of the diagonal is dependent on the length, x and y of the sides.

Therefore;

(dl/dt)² = (dx/dt)² + (dy/dt)²

where;

(dx/dt) = 19 ft/s(dy/dt) = -15 ft/s

Therefore,

(dl/dt)² = 19² + (-15)²

(dl/dt)² = 361 + 225

dl/dt = √586

dl/dt = 25.2

Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.

Read more;

https://brainly.com/question/12559989

#20 i
Find the coordinates of the midpoint of the line segment with the endpoints R(-5, -7) and
S(2, -4)

Answers

Answer:

First, we need to know the relationship between "a" and "c". And "10" is not a co-ordinate. A co-ordinate has 2 or 3 numbers in it like 10,17, or like 10,17,5.

Step-by-step explanation:

Gigi graphs the parabola (x+1)2=2(y−3).

How does she proceed?

Drag a value, coordinates, equation, or word to the boxes to correctly complete the statements.

Answers

After graphing the parabola [tex](x+1)^2=2(y-3)[/tex], she can fill the boxes as follows:

Gigi identifies that the vertex of the parabola is [tex](-1, 3)[/tex]. The parabola opens up, and the focus is [tex]\frac{1}{2}[/tex] unit away from the vertex. The directrix is [tex]1[/tex] unit from the focus. The focus is the point [tex](-1, \frac{7}{2})[/tex]. The directrix of the equation is [tex]y=\frac{5}{2}[/tex].

Since Gigi's parabola has the x-term squared, then the parabola has the general formula

[tex](x-h)^2=4p(y-k)[/tex]

So,

[tex]x-h=x+1 \implies h=-1[/tex]

[tex]y-k=y-3\implies k=3[/tex]

The vertex is

[tex](h,k)=(-1,3)[/tex]

The focus is

[tex](h,k+p)=(-1,3+\frac{1}{2})\\=(-1,\frac{7}{2})[/tex]

The directrix is

[tex]y=k-p=3-\frac{1}{2}=\frac{5}{2}[/tex]

The other values can be computed as follows;

Direction the parabola opens: Since the value of p is positive, the parabola opens up.

Distance of focus from vertex: The focus and vertex both have the same x position, so the distance will be in terms of the y-coordinates only. The distance from the focus to the vertex is

[tex]\frac{7}{2}-3=\frac{1}{2}\text{ unit}[/tex]

Distance of directrix to focus: The directrix is the line [tex]y=2.5[/tex]. The distance of the directrix to the focus will be

[tex]\frac{7}{2}-\frac{5}{2}=1 \text{ unit}[/tex]

Learn more about conic sections here: https://brainly.com/question/12854078

Answer:

I took the quiz.

Step-by-step explanation:

What is the common difference for this arithmetic sequence 45,40,35,30,25,

Answers

Answer:

-5

Step-by-step explanation:

Due in an hour help me
Please I have to pass

Answers

Answer:

A is answer

Step-by-step explanation:

Two architects bid for a small government project, both
charging a flat fee added to an hourly rate. Amazing
Designs bids $250 plus $45 per hour, while Super Structures
bids $100 plus $60 per hour. At what point in time will the
two companies charge exactly the same amount?

Answers

Answer:

10 hours

Step-by-step explanation:

let x be the total number of hours

Amazing design total charge = 45x+250

super structures total charge = 60x+100

both companies charge the same amount when both equation equals

45x+250=60x+100

60x-45x=250-100

15x=150

x=10

therefore at 10 hours both companies will charge the same amount

What is the nth term rule of the quadratic sequence below?
-4,-3,0,5, 12, 21, 32,...
I need help quick!!

Answers

Answer:

The nth term = n^2 - 2n - 3.

Step-by-step explanation:

Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c

Example 1

Write down the nth term of this quadratic number sequence.

-3, 8, 23, 42, 65...

Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence = -3, 8, 23, 42, 65

1st difference = 11,15,19,23

2nd difference = 4,4,4,4

Step 2: If you divide the second difference by 2, you will get the value of a.

4 ÷ 2 = 2

So the first term of the nth term is 2n²

Step 3: Next, substitute the number 1 to 5 into 2n².

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Differences = -5,0,5,10,15

Now the nth term of these differences (-5,0,5,10,15) is 5n -10.

So b = 5 and c = -10.

Step 5: Write down your final answer in the form an² + bn + c.

2n² + 5n -10

Example 2

Write down the nth term of this quadratic number sequence.

9, 28, 57, 96, 145...

Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.

Sequence = 9, 28, 57, 96, 145...

1st differences = 19,29,39,49

2nd differences = 10,10,10

Step 2: If you divide the second difference by 2, you will get the value of a.

10 ÷ 2 = 5

So the first term of the nth term is 5n²

Step 3: Next, substitute the number 1 to 5 into 5n².

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Differences = 4,8,12,16,20

Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.

Step 5: Write down your final answer in the form an² + bn + c.

5n² + 4n

You ordered several pizzas from
Tonys Pizzeria, The pizzas cost
$50 but you also have to pay 6%
tax and want to leave a 10% tip.
How much will you pay in total,
after the tax and tip?

Answers

It will cost you $58 after the tax and tip!

Hope this helped!! :)

The amount of sales of single scoop ice-cream cones during the summer s(c0 varies directly with the number of customers c. Ten customers bought a total of $44 worth of ice-cream cones. Which equation can be used to find the ice-cream sales for c customers?

Answers

Answer:

s(c)= 4.4c

Step-by-step explanation:

There are 190 people on the beach. 110 are wearing sunglasses, 70 are wearing bathing suits, and 95 are wearing a hat. Everyone is wearing at least one of these items. 30 are wearing both bathing suits and sunglasses. 25 are wearing both bathing suits and a hat. 40 are wearing both sunglasses and a hat. How many people are wearing all three items

Answers

190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x

Simplifying, we get that x=10x=10.

its 10

3 feet + 7 inches = ___ inches

Answers

Answer:

10

because when you plus 3+7 is 10

There are 12 inches in one foot
12 inches x 3 feet = 36 inches
36 + 7 = 41 inches
Answer: 41 inches

Can someone please help me with this?

Answers

Hello,

Ali is right, Khamis is wrong. Why because Khamis forgot to put the negative sign in front of 5b, it should be wrote -5b in the second line and not 5b.

And then Khamis should have divided -5b by -5b.

Good Luck

Ali is correct
Ali is correct

Find the perimeter. Simplify your answer.

Answers

Step-by-step explanation:

perimeter =

2(L+B)

=2× (7z+3 +3z+5)

2×10z +8

=20z+16

What is a logarithm.

Answers

Answer:

Logarithms were invented in the 17th century as a calculation tool by Scottish mathematician John Napier (1550 to 1617), who coined the term from the Greek words for ratio (logos) and number (arithmos

Step-by-step explanation:

what would be 8/1 x 1/2

Answers

Answer:

4.

Step-by-step explanation:

8*1 / 1*2

= 8/2

= 4.

[tex]8\times \dfrac 12 = 4[/tex]

If the worker worked for 15.5 hours, how much money would they earn? Round to the nearest
hundredth.

Answers

$135.63 or Choice B

Step-by-step explanation:

If the worker works for 15.5 hours and earns $8.75 per hour, you would multiply 15.5 and 8.75, you get 135.625. Round it to the nearest hundredth gives you the answer of $135.62

If angle 1 is 110° what would the other angle measures have to be in order for m || n and q || p

Answers

Answer:

Angle 1 = 110

Angle 2 = 110

Angle 3 = 70

Angle 4 = 70

Step-by-step explanation:

Angles 1 and 2 are corresponding angles, and therefore congruent

Angles 2 and 3 are same-side interior angles, and therefore supplementary

Angles 3 and 4 are alternate interior angles, and therefore congruent.

Answer:

Angle 2: 110

Angle 3: 70

Angle 4: 70

Solve the slope for the table.

Answers

Answer:

Slope = -3

Step-by-step explanation:

8-17/0+3=-9/3=-3 : Slope Formula

What is the product?

Enter your answer as a fraction, in simplified form, in the box.

3/8*(-36)

Answers

Answer:

-27/2

Step-by-step explanation:

3/8 × -36

(3×-36)/8

-108/8

-27/2

Old McDonald's 3 hens lay the same number of eggs one week. This gives Old McDonald's wife enough eggs for two recipes. One recipe requires 10 eggs and the other recipe requires 2 eggs. How many eggs did each hen lay?

Answers

I think the answer is 4 because you add the 10 and 2 and you get 12 and then divide that by how many hens there are (3). The answer is 4
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