Solve this system of equations for x using the addition method.
5x+3y=10
3x-4y=61

Answer:

15

Step-by-step explanation:

You have to calculate the boys name using ratio expression.

3/5 × 25

= 15

Answer:

1 5/16

Step-by-step explanation:

(-1/4 - 1/2) ÷ (-4/7)

Parentheses first

Get a common denominator

(-1/4 - 1/2 *2/2)

(-1/4 - 2/4)

-3/4

Replace in the equation

(-3/4 ) ÷ (-4/7)

Copy dot flip

-3/4 * -7/4

21/16

1 5/16

[tex]\\ \rm\Rrightarrow \left(\dfrac{-1}{4}-\dfrac{1}{2}\right)\div \dfrac{-4}{7}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-1-2}{4}\times\dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-3}{4}\times \dfrac{-7}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{21}{16}[/tex]

[tex]\\ \rm\Rrightarrow 1\dfrac{5}{16}[/tex]

Answer:

Jasper have left 1/2 feet

Step-by-step explanation:

3 5/6 - (1 2/3 x 2)

= 23/6 - 10/3

= 23/6 - 20/6

= 1/2

Answer:

Jasper has [tex]3/6[/tex] feet of rope left.

Step-by-step explanation:

[tex]1 \frac{2}{3} + 1\frac{2}{3} = 3 \frac{1}{2} = 3\frac{2}{6} \\\\3 \frac{5}{6}- 3\frac{2}{6}= \frac{3}{6}[/tex]

9514 1404 393

Answer:

  295 mg

Step-by-step explanation:

The proportion can be written ...

  dose/(96 lb) = (200 mg)/(65 lb)

  dose = (96/65)(200 mg) ≈ 295.4 mg . . . . . multiply by 96 lb, cancel lb units

The doctor might recommend 295 mg for a 96-pound patient.

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  a(n) = 1/2(-8)^(n-1)

Step-by-step explanation:

The general term of a geometric sequence is ...

  a(n) = a(1)×r^(n-1)

where a(1) is the first term, and r is the common ratio.

Here, the first term is a(1) = 1/2. The common ratio is the ratio of any two sequential terms: r = 32/-4 = -8. Then the explicit formula is ...

  a(n) = 1/2(-8)^(n-1)

Answer:

Step-by-step explanation:

Either way works. It comes to the same thing.

(2x-5)(x+1)=9

F: 2x*x = 2x^2

O: 2x*1 = 2x

I: -5 * x = -5x

L: -5*1 = -5

2x^2 + 2x - 5x - 5 = 9    Subtract 9 from both sides

2x^2 - 3x - 14 =0            Divide by 2 (it makes life easier).

Factoring you get

(2x - 7)(x + 2)

2x - 7 = 0

2x = 7

x = 3.5

x + 2 = 0

x = -2

The x intercepts = (3.5,0) and (-2,0)

I've put a graph up for the given equation.

Answer:

28

Step-by-step explanation:

6+8+6+8

6+8=14x2=28

Answer:

28

Step-by-step explanation:

P = 2(l+ w)

2(6+ 8) =

2(14)=

28

Hope this helps.

Answer:

Jane is 12 and Harvey is 36

Step-by-step explanation:

3x+x=48

4x=48

x=12

3(12)=36

1(12)=12

Answer:

600

Step-by-step explanation:

if SP>CP,  

It is profit [SP - CP = Profit]

if CP>SP,  

It is loss  [CP - SP = Loss]

Here in the question CP>SP so,  

loss = CP - SP  

      =2500 - 1900  

      = 600

Answer:

24

Step-by-step explanation:

C.P=2500

S.P=1900

Here,

Cp>Sp

So,

Loss= cp-sp

---------- ×100%

cp

=2500-1900

----------------- ×100%

2500

= 600

------- ×100 %

2500

= 24.

Answer:

x = 3^2

Step-by-step explanation:

2x^2 = 18

x^2 = 18 / 2

x^2 = 9

x = √9

= 3

Answer:

[tex]14\frac{2}{11}[/tex] ft

Step-by-step explanation:

Let the height of the tree equal x. Shadows are proportional to the height of an object, so we can write a proportion where to numerators are the object and the denominators are the shadow:

[tex]\frac{x}{26} =\frac{6}{11}[/tex]

Now, to solve for x, we can cross-multiply:

11x = 6*26

11x = 156

x =  [tex]14\frac{2}{11}[/tex]

Here <5=<8 then

[tex]\\ \sf\longmapsto <7+<8=90[/tex]

[tex]\\ \sf\longmapsto 29+<8=90[/tex]

[tex]\\ \sf\longmapsto <8=90-29[/tex]

[tex]\\ \sf\longmapsto <8=61[/tex]

Answer:

19500

Step-by-step explanation:

30/100 X 15000 = 4500

15000 + 4500 = 19500

Answer:

A = $19,965.00

A = P + I where

P (principal) = $15,000.00

I (interest) = $4,965.00

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 10/100

r = 0.1 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 15,000.00(1 + 0.1/1)(1)(3)

A = 15,000.00(1 + 0.1)(3)

A = $19,965.00

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $15,000.00 at a rate of 10% per year compounded 1 times per year over 3 years is $19,965.00.

Answer:

It is D

9 * (12 + 7) = 9 * 19 = 171

now we test to see if 9 * 12 + 9 * 7 is the same

9 * 12 = 108

9 + 7 = 63

108 + 63 = 171

Step-by-step explanation:

The number that is in "proper" scientific notation is A. 2.31 * 10^-4

A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.  When a number is too big or too small to be conveniently stated in decimal form, or if doing so would involve writing out an exceptionally long string of digits, it can be expressed using scientific notation. It is also known as standard form in the scientific form, standard index form, and standard form.

The number on the left in scientific notation always consists of a single digit, a decimal point, and the appropriate (see important figures) number of digits after the decimal.

Learn more about scientific notation at:

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Answer:

w=3/2

Step-by-step explanation:

[tex]|5w+7|=|5w+8|\\5w + 7 =\pm (5w+8)\\5w + 7 = 5w + 8 \text{ or } 5w + 7 = -5w-8\\7 = 8 (\text{abusrd}) \text{ or } 10 w =15\\w= 15/10 = 3/2.[/tex]

Step-by-step explanation:

[tex] \frac{x + 1}{5} + \frac{x + 1}{6} +\frac{x + 1}{7} +\frac{x + 1}{8} +\frac{x + 1}{9} +\frac{x + 1}{10 } = 0[/tex]

[tex](x + 1)( \frac{1}{5} + ... + \frac{1}{10} ) = 0[/tex]

Since the second factor is non-zero, the only possible condition for the equation to hold is,

[tex]x + 1 = 0[/tex]

[tex]x = - 1[/tex]

[tex] \large \mathfrak{Solution : }[/tex]

Step-by-step explanation:

Please mark me as brainlyest

Answer:

1. We are told they have similar APR (starting) and Annual fee of 25 and similar late fee of 35

Hence she should price the first card with a 19.99% APR

Step-by-step explanation:

[tex] \frac{58}{165}[/tex]

[tex] \frac{79}{225} [/tex]

[tex] \frac{13}{37} [/tex]

[tex] \frac{8}{45} [/tex]

[tex] \frac{17}{99} [/tex]

The answer is in the picture shown here

Answer:

D

Step-by-step explanation:

f(1)=(3+2)/(0)=5/0 which means f(1) doesn't exist

Answer:

second graph shows x=4 because you can see from origin point and counting will makex=4

Answer:

maybe but (-4,2) only because the -4 is in the x place (x,y)

Step-by-step explanation:

Ordered pair usually refers to a set of two numbers used to locate a point in a coordinate plane. When an ordered pair refers to the location of a point in the coordinate plane, they are called the coordinates of the point.

Answer:

30 tsp of sugar

Step-by-step explanation:

If 20 is 2 parts of the 5 parts  then 1 part is 10

 10x3 =30

   30 to 20    =  3 to2

As x increases, y increases

The rate of change for y as a function of x is 1.4

therefore the function is growth function

For all values of x, the function value y increases

The y-intercept of the graph is the function value y 1

When x = 6, the function value y = 7.5

For an exponential function, the rate of change is b, in the equation

= f(x) = abˣ

From the graph, points (0, 1), and (2, 2) will be used for the calculation

Exponential function is represented by f(x) = abˣ

for x = 0, f(x) = 1

1 = a * b^0

a = 1

for x = 2, f(x) = 2

2 = 1 * b^2

2 = b^2

b = √2 = 1.414

for increasing rate, b = 1 + r

1.41 = 1 + r, r = 41%

When x = 6

= 1 * 1.4^6

= 7.5

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Step-by-step explanation:

The student incorrectly performed a rotation of 90° clockwise.

Answer:

C, the student incorrectly preformed a rotation of 90 degrees clockwise.

Step-by-step explanation:

Step-by-step explanation:

13

[tex]3 + (20 \div 5) - ( {2}^{2}) [/tex]

[tex]3 + 4 - 4 = 3[/tex]

15

[tex] \frac{10 - {3}^{2} }{20 - (3 \times 4)} [/tex]

[tex] \frac{10 - 9}{20 - 12} [/tex]

[tex] \frac{1}{8} [/tex]