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1 year ago

Question Progress

Mathematics

2 answers:

Doss [256]1 year ago

7 0

Step-by-step explanation:

4x+3y=21

4x+2y=16

If we add both the equation:

4x + 3y = 21

4x + 2y = 16

(-) (-) (-)

4x + 3y = 21

-4x - 2y= -16

=> 0+1y= 5

y=5

substituting Y in eq 1

4x+3y=21

4x+3(5)=21

4x+15=21

4x=21-15

4x=6

x=1.5

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DedPeter [7]1 year ago

5 0

Answer:

x= 1.5

y=5

Step-by-step explanation:

do equation 1 and 2 then,

subtract the equation

find the value of y by subtracting

and put the value of y in any equation and get the value of x

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bryan has some 3 cent stamps and some 4 cent stamps. what is the least number of stamps he can combine so the value of the stamp

SashulF [63]

Answer:

The least number of stamps required is $9$

Step-by-step explanation:

Let the number of $3$ cent stamps be $x$ and $4$ cent stamps be $y$

We have

$3x+4y=33$

The minimum number is obtained when more $4$ cent stamps are used

Here $y$ cannot be greater than $8$ since $\frac{33}{4}$

Substitute $y=8$

$3x+4\times 8=33\\\\3x=1\\\\x=\frac{1}{3}$

Not possible since $x$ is not a fraction

Substitute $y=7$

$3x+4\times 7=33\\\\3x=5\\\\x=\frac{5}{3}$

Not possible since $x$ is not a fraction

Substitute $y=6$

$3x+4\times 6=33\\\\3x=9\\\\x=\frac{9}{3}\\\\=3$

Possible

Hence minimum number of stamps is

$=x+y\\\\=3+6\\\\=9$

5 0

2 years ago

Which of the following is the equation for the graph shown?a. x^2/144+y^2/95=1b. x^2/144-y^2/95=1c. x^2/95+y^2/144=1d. x^2/95-y^

Andrews [41]

e follSOLUTION

Given the question in the image, the following are the solution steps to answer the question

STEP 1: Write the general equation of an ellipse

$\frac{\mleft(x-h\mright)^2}{a^2}+\frac{(y-h)^2}{b^2^{}}=1$

STEP 2: Identify the parameters

the length of the major axis is 2a

the length of the minor axis is 2b

$\begin{gathered} 2a=24,a=\frac{24}{2}=12 \\ 2b=20,b=\frac{20}{2}=10 \end{gathered}$

STEP 3: Get the equation of the ellipse

$\begin{gathered} By\text{ substitution,} \\ \frac{(x-h)^2}{a^2}+\frac{(y-h)^2}{b^2}=1 \\ \frac{(x-0)^2}{12^2}+\frac{(y-0)^2}{10^2}=1=\frac{x^2}{144}+\frac{y^2}{100}=1 \end{gathered}$

STEP 4: Pick the nearest equation from the options,

Hence, the equation of the ellipse in the image is given as:

$\frac{x^2}{144}+\frac{y^2}{95}=1$

OPTION A

8 0

1 year ago

Please help me out!!! :)

alexgriva [62]

Answer:

x = 26°

Step-by-step explanation:

The measure of the secant- secant angle x is one- half the difference of the measures of the intercepted arcs , larger subtract smaller

x = $\frac{1}{2}$ (66° - 14°) = 0.5 × 52° = 26°

8 0

3 years ago

Solve y = x - 5 if the domain is 5

Lunna [17]

If the domain is 5, you just put that five where you find an x. So,
y = 5 - 5
y = 0

Domain means those are the numbers that will be set as x's in the equation

6 0

2 years ago

What is the radius of J. A. 24.8<br> B. 6.2<br> C. 10.8<br> D. 12.4

mario62 [17]

Answer:

12.4 units

Step-by-step explanation:

The diameter of circle J is represented by KN. Half of KN is KJ and JN which means these represent the radius. Since JN equals 12.4 and JN is the the radius, then the radius of circle J is 12.4 units which is answer choice D.

7 0

2 years ago

Read 2 more answers