How do u solve this equation? I’m struggling with it.
2a+3c=61
3a+5c=96

Answers

Answer 1

Answer:

a=17

c=9

Step-by-step explanation:

balls

Answer 2

Answer:

c=9 and a=17

Step-by-step explanation:

1. 2a+3c=61

2. 3a+5c=96

the LCM between 2 and 3 is 6 so

equation 1 *3

3.6a+9c+183

equation 2*2

4. 6a+10c=192

equation 3 - equation 4

5. -c=-9

c=9

substitute c into equation 1 or 2 to find a

3a+5(9)=96

3a+45=96

3a=51

a=17


Related Questions

Is -\dfrac{59}{3}+\dfrac{4}{63}−
3
59

+
63
4

minus, start fraction, 59, divided by, 3, end fraction, plus, start fraction, 4, divided by, 63, end fraction rational or irrational?

Answers

Answer:

it is rational

Step-by-step explanation:

trust me

Solve for x:
A. 37
B. 19.25
C. 10.375
D. 41

(4x-6)
71

Answers

Answer:

Answer = B.19.25

Step-by-step explanation:

(4x-6)=71

4x=71+6

4x=77

x=77÷4

x=19.25

Fistan is comparing two number pattern
the information below.
• Both patterns start with the number 1.
• Pattern A follows the rule “add 3”.
• Pattern B follows the rule “add 4".
ow do each of the first 5 terms in Pattern A
mpare to the first 5 terms in Pattern B? As
et of your answer, list the first 5 terms of each
tern.

Answers

Answer:

See below.

Step-by-step explanation:

Each term increases by 3 for A and 4 for B.  Either do this calculation manually on a table, or use a spreadsheet to calculate all terms quickly.

The ten first terms for A and B are shown.  

A B Difference

1 1 1    0

2 4 5    1

3 7 9    2

4 10 13    3

5 13 17    4

6 16 21    5

7 19 25    6

8 22 29    7

9 25 33    8

10 28 37    9

We can see that the difference between the two patterns is that B increases more rapidly until there is a difference of 9 by the 10th term.

How much will you lose

Answers

Answer:

i don't know how much will l loose

Can someone please help me? :(

Answers

Answer:

A

Step-by-step explanation:

4ft*4 1/3ft*3 1/3ft = 57 7/9 ft3

HELP PLEASEE !!! Only correct answers and please no links


An experiment consists of rolling a die and then flipping a coin.


The following tree diagram shows the possible outcomes.



A tree diagram in which a center point branches to numbers 1 through 6, which each branch to an H & T.


© 2018 StrongMind. Created using GeoGebra.



What is the probability of rolling an even number or flipping a tail?


Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

Both are 1/2

Step-by-step explanation:

Count just the tails, that's the numerator

Count all the heads and tails, that's the denominator.

And for the 2nd fraction:

Count just the evens, that's the numerator

Count all the even and odd numbers, that's the denominator.

Answer: The answer to this question is 3/4

Step-by-step explanation:

In this problem, there are 12 outcomes. Of those, 3 result in an even number and a tail, 3 more in an even number but not tail and 3 in a tail but an odd number, hence there are 9 desired outcomes.

Hence, the probability is given by: p=9/12=3/4

An angle measures 12.8° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer:

180 angles usually up and down from each other

Step-by-step explanation:

85.2

94.8

Simplify 4 - 2m + 4m +1​

Answers

Answer: 2m+5

Step-by-step explanation:

4−2m+4m+1

Combine −2m and 4m to get 2m.

4+2m+1

Add 4 and 1 to get 5.

5+2m

Answer: 2m + 5

Step-by-step explanation:

Just do:

4 - 2m = 2m4m + 1 = 5

So, 2m + 5


Choose the system of equations that best represents the situation below:
The sum of two numbers is 25 choose the system that best represents the situation below and their difference is 7. Find the two numbers.
A. x + y = 18

B.x + y = 25
2 + y = 7

C. x - y = 25
2 - y = 7

D. x+y= 25
x - y = 7

Answers

Answer: x = 16, y = 9

D. x + y = 25

x - y = 7

Step-by-step explanation:

        Let x be a number and y be another. First, I will write the problem out using equations. Then I can solve by graphing, see attached. Their point of intersection is the answer, x = 16 and y = 9.

    The sum of two numbers is 25

x + y = 25

    Their difference is 7

x - y = 7

          D. x + y = 25

          x - y = 7

John is solving x^2 + 4x + 8=0 by completing the square. Which step would be part of John's solution.?

(x + 4)^2 = - 4
(x+2)^2 = - 4
(x+4)^2 = - 8
(x + 2)^2 = - 8

Answers

Answer:

[tex](x + 2) ^{2} = - 8[/tex]

Step-by-step explanation:

[tex] {x}^{2} + 4x + 8 = 0 \\ {x }^{2} + 4x = - 8 \\ {x}^{2} + 4x + 4 = - 8 + 4 \\ ( x + 2)^{2} = - 4[/tex]

What is the surface area of this triangular pyramid?

Answers

Area of one face = 1/2 x base x height = 1/2 x 5 x 3 = 7.5 square inches.


there are 3 of those faces : 7.5 x 3 = 22.5 square inches.


the bottom triangle = 1/2 x 5 x 4.3 = 10.75 square inches


total surface area = 22.5 + 10.75 = 33.25 square inches

The radius of a circle is 12.7 ft. Find the circumference
to

the

nearest

tenth
to the nearest tenth.

Answers

Answer:

79.8

Step-by-step explanation:

How long does this lease last?

Answers

Im not sure what the question is. What lease?

Describe the outlier boundaries for the data set.


16, 18, 19, 16, 20, 18, 24, 22

Answers

Answer:

Any value less than 16 or greater than 24 is an outlier. :)

Step-by-step explanation:

In the data set, the smallest value is 16 and the largest value is 24 so that is why I think any value less than 16 or greater than 24 is an outlier. :)

Have an amazing day!!

Please rate and mark brainliest!!

area of regular polygons

Answers

Answer = 259.2. (I have linked my working out down below have a look)

What is the cube of 6?

A. 216
B. 42
C. 36
D. 18

Answers

Answer:

A

Step-by-step explanation:

Cubes are numbers that are multiplied by itself three times so 6 times 6 times 6 is 216

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

To use the Pythagorean theorem:
  ⇒ define Pythagorean theorem

Definition of Pythagorean Theorem: the square of the length of the hypotenuse of a right triangle equals the sum of the squares of the lengths of the other two sides

     (look at the diagram attached for a better understanding)

Information Given:

length of the two legs: 5, 9

Information Wanted:

length of hypotenuse

Solve:

   [tex]5^2+9^2=hypotenuse^2\\hypotenuse^2 = 5^2 +9^2 = 25 + 81 = 106\\hypotenuse = 10.29[/tex]

Rounded to nearest tenth:

 Answer: Length of hypotenuse is 10.3

Hope that helps!

ing a Reflection in the
Coordinate Plane continued
Triangle XYZ is reflected across the y-axis to form
figure

help

Answers

Answer:

equals 1864 and this head and this talk

For every 2 sheep in the field on monday, how many chickens were in the field?

Answers

Answer:

This needs more context im sorry

Step-by-step explanation:

What are two transformation that will produce a figure that is congruent to the original figure?​

Answers

Answer: Translation, reflection, rotation

Step-by-step explanation:

Alice has 2290 dollars, Cindy has 987 more than Alice
What is the amount of money combined with Alice and Cindy? ​

Answers

Answer: 3,277

Step-by-step explanation: all you have to do is add 2290 and 987 toghther  

Answer:

5567 $.

Step-by-step explanation:

The amount of money Alice has = 2290 $.

Cindy = Amount of money Alice has + 987

= 2290 + 987

= 3,277.

Now,

The amount of money combined = 2290 + 3277

= 5567 $.

A rectangle with length of 4/9 foot and a width of 2 feet

Answers

Answer:

area of rect = 8/9

Step-by-step explanation:

Area of rect.= (L*W)

Area = (4/9) (2)

Area = (4/9) (2/1)

Area = 8/9

Answer:

8/9 feet

Step-by-step explanation:

Area=l*w

4/9ft*2ft

4/9*2/1=8/9ft

1/secA+tanA = 1-sinA/cosA

Answers

Answer:

Below.

Step-by-step explanation:

1 / secA+tanA =  1 / [1/cosA+sinA/cosA))]

= 1/ [(1 + sinA)/cosA]

= cosA/(1+sinA)

Now check if this is identical to 1-sinA/cosA:

1-sinA/cosA = cosA/(1+sinA)

Cross multiply:

(1-sinA)(1+sinA) = cos^2A

1 - sin^2A = cos^2A

sin^2A + cos^2A = 1  

This is a known idenity.

So the original identity is true.

Please help! No links no files :(

Answers

Answer:

Step-by-step explanation:

Area of a triangle:

base = 4 units

height = 3 units

[tex]\boxed{\text{Area of triangle = $\dfrac{1}{2}*base*height$}}[/tex]

                           [tex]\sf = \dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square \ units[/tex]

Scrooge Mc duck has $16 in savings at the beginning of a month she then decides to save a dollars every week write an inequality in its simplest terms that represents the solution describing how many weeks it takes Scrooge to accumulate at least $120

Answers

Answer:

120 <= 16+(w*d)

108<=d*w

Step-by-step explanation:

let w = weeks and d = dollars saved per week

I need help on this image below

Answers

Answer: 70 degrees

Step-by-step explanation:

5,5/2,5/4 find the ninth term

Answers

Answer:

T9 = 5/256

Step-by-step explanation:

This is a geometric progression

You can tell it by looking at the pattern of the progression whether each term +- or ×÷.

From the question,

First term, a = 5

Common ratio, r = (5/2)/5 = ½

n = 9

Using the formula for nth term of a geometric progression,

[tex] t_{n} = a {r}^{n - 1} [/tex]

T9 = 5(½)^(9-1)

= 5/256

Multiplying a number by 3 is equal to sum of the number and 5.

Answers

Answer:

this makes no sense

Step-by-step explanation:

The number that when multiplied by 3, equals the sum of the number and 5 is 2.5.

How can we solve for 2.5?

First assume that the number we are looking for is x.

One side of the equation will be:

= 3 × x

= 3x

The other side of the equation would be:

= 5 + x

Equating these numbers gives:

3x = 5+ x

3x - x = 5

2x = 5

x = 5/ 2

x = 2.5

In conclusion, the number is 2.5.

Find out more on operations involving solving for numbers at https://brainly.com/question/18897826.

Find the length of the third side. If necessary, round to the nearest tenth

Answers

for this equation we just use pythagorean theorem.

11^2+12^2=x^2
121+144=x^2
265=x^2
x=16.3

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's use Pythagoras theorem !

[tex]\qquad \sf  \dashrightarrow \:h {}^{2} = p {}^{2} + b {}^{2} [/tex]

where,

h = hypotenuse = unknown

b = base = 11

p = perpendicular = 12

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 12{}^{2} + 11 {}^{2} [/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 144{}^{} + 121[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{2} = 265[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{} = \sqrt{265}[/tex]

[tex]\qquad \tt\dashrightarrow \:h {}^{} \approx16.3[/tex]

How many 5-digit numbers contain at least one 3?

Answers

Answer:

37,512

Step-by-step explanation:

Total # of  5 -digit numbers  =9×104=90,000

Total # of  5 -digit numbers that do not contain  3=8×94=52,488

Total # of  5 -digit numbers that contain at least one  3=90,000−52,488=37,512

Other Questions
The radius of a circle is 11 miles. What is the circle's circumference? What is the molarity of NaCl when 5.0 moles of NaCl is dissolved in 2.0 L solution Find the volume of the coneUse 3.14 for . Round your answer to the nearest tenth if needed. Do not enter units. A house blueprint has a scale of 1 in. : 6 ft. The length and width of each room in the actual house are shown in the table. Complete the table by finding the length and width of each room on the blueprint. Choose the correct form of the verb GUSTAR with the accompanying appropriate indirect object pronoun *A Ella las uvas A. Le gusta B. Le gustan C. Se gusta D. Les gustan Good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated. The ratio of a basketball player's completed free throws to attempted free throws is 4 to 7. If she completed 12 freethrows, find how many free throws she attempted.a 3 free throwsc. 21 free throwsb. 7 free throwsd. 4 free throwsBDMark this and retumSave and ExitNextSubmit Helppp....1: why did the framers of the Constitution create a way to amend the constitution, but then make it very difficult to make any changes?2: the three branches of government and the role of each? What your favorite color says about your personality?. how were economic concerns and industrialization connected to japans imperial powers expansion? Which rule best describes the pattern?3, 9, 27, 81, ___, ____, ___A. Add by 6B. Add by 6, add by 18C. Divide by 3D. Multiply by 3 Think and Create! Direction: See if you can write a paragraph about the topic below. A Secondary source is given as a reference to support your point. Provide at least three (3) supporting ideas in your paragraph. Topic: Not getting enough sleep Reference: Textbook: Losing sleep can impair your body's ability to fight off illness. This makes it easier to get sick. Researchers even uncovered a reciprocal relationship between sleep and your immune system. You may lose additional sleep while your body fights off a bug if you get sick and haven't had enough shut eye. can someone help i need a a HELP ME OUT PLS!!!!!!3) Joshua is a student who read about Landon and David going camping. In a class discussion, Joshua said that both the dad and his son had a great time. Which detail from the passage BEST clarifies or expands on Joshua's response to the passage? A) Landon was smiling when his dad picked him up. B) Each agreed the trip was the most fun he had ever had, C) This weekend camping trip was just what they needed, D) David was determined to look to the future and not dwell on the past, pls help asap!!!!!!! Write the measure of this missing angle Which value of x from the set 4, 5, 6, 7}, makes this equation true?4(8 - x) = 8A. 4B. 5c. 6D. 7 A spherical balloon has a circumference of 25 cm.a.) What is the approximate surface area of the balloon to the nearest square centimeter?b.) What is the approximate volume of the balloon to the nearest cubic centimeter? Map Activity2151CENTURY18. Pacific South America On a separate sheet ofpaper, match the letters on the map with theircorrect labels.Strait of MagellanSantiago, ChileQuito, EcuadorAtacama DesertAndesLa Paz, Bolivia Is the Strait of Magellan in Quito Ecuador A positive charge +Q is moving to the right and experiences a vertical (upward) magnetic force. In which direction is the magnetic field?O into the screenO upwardO out of the screenO to the leftO to the right