All categories

2 years ago

Mr.gilliam is 3 years younger than his wife.the sum of their ages is 95.how old is mr.gilliam

2 answers:

5 0

C= a+b
b= a-3

95= a+a-3
95=2a-3
98=2a
a= 49

b=49-3
b=46

This is a system of equations. The ages are 49 and 46. Mr. Gilliam is 46. Their ages are equal to 95 so I put two variables equal to 95. And one of the ages is 3 years younger than the other so I did another equation subtracting 3 from a variable. Then I plugged in the numbers! Check it out and ask me if you have questions! :)

Usimov [2.4K]2 years ago

3 0

X = the age of Mr. Gilliam
His wife is 3 years older, so the age of Mr. Gilliam's wife = x+3
The sum of their ages is 95.

$x+x+3=95 \\
2x+3=95 \\
2x=95-3 \\
2x=92 \\
x=46$

Mr. Gilliam is 46 years old.

You might be interested in

Out of a salary of $4500, I kept 1/3 as savings. Out of the remaining money, I spend 50% on food and 20% on house rent. How much

jeka94

Answer:

$2100

Step-by-step explanation:

1/3 of 4500 is 1500

to find 1/3 of a number is to multiply by 1/3

1/3 * 4500 = 1500

$1500 is for savings

subtract 1500 from 4500

4500 - 1500 = 3000

the remaining money is $3000

to find 50% of something, divide by 2

3000/2 = 1500

$1500 is spent on food.

20% of 3000 is 600

to find 20% of something, multiply the decimal value (0.2)

0.2 * 3000 = 600

$600 are spent on rent.

$450 leftover

1500 + 600 = 2100

Food and rent cost $2100

hope this helps:)

3 0

1 year ago

Lim as x->ln2 of ((e^3x)-8)/((e^2x)-4)

andriy [413]

X ⇒ ln (2)

e^3 x - 8/e^2 x - 4

7 0

2 years ago

How is this worked out ? im confused.

Rudik [331]

Answer:

From the given ratio for $tan\theta=\frac{4}{5}$ we found the values are

$sin\theta=4$

$cos\theta=5$

$csc\theta=\frac{1}{4}$

$sec\theta=\frac{1}{5}$

$cot\theta=\frac{5}{4}}$

Step-by-step explanation:

Given the ratio for $tan\theta=\frac{4}{5}$

We have to find the rest of trignometric functions:

$tan\theta=\frac{4}{5}\hfill (1)$

$tan\theta$ can be written as

$tan\theta=\frac{sin\theta}{cos\theta}\hfill (2)$

Comparing equations (1) and (2) we get

$tan\theta=\frac{sin\theta}{cos\theta}=\frac{4}{5}$

$\frac{sin\theta}{cos\theta}=\frac{4}{5}$

Equating the coressponding numerator and denominator respectively

Therefore $sin\theta=4$ and $cos\theta=5$

We can find $csc\theta$

$csc\theta=\frac{1}{sin\theta}$

$=\frac{1}{4}$ (since $sin\theta=4$ )

$csc\theta=\frac{1}{4}$

We can find $sec\theta$

$sec\theta=\frac{1}{cos\theta}$

$=\frac{1}{5}$ (since $cos\theta=5$ )

$sec\theta=\frac{1}{5}$

To find $cot\theta$ :

$cot\theta=\frac{1}{tan\theta}$

$=\frac{1}{\frac{4}{5}}$

$=1\times \frac{5}{4}$

$=\frac{5}{4}}$

$cot\theta=\frac{5}{4}}$

7 0

3 years ago

(x-4)² + (y +17) =9

igomit [66]

Answer:

x-intercept : None

y-intercept : (0, -24)

Vertex : (4, -8)

Focus : (4, -33/4)

Axis of Symmetry : x = 4

Directrix : y = -31/4

Step-by-step explanation: Use the vertex form to determine the values of a, h, and k and use these values to find the direction the parabola opens, vertex, focus, axis of symmetry, and directrix.

Hope this helps you out. If not, comment and let me know what you were wanting and looking for.

7 0

3 years ago

Find the orthocenter& circumcenter of a triangle when their vertices are A(1, 2), B(2, 6), C(3,-4).

notka56 [123]

Answer:

iven, the vertices of the triangle,

A=(1,2)

B=(2,6)

C=(3,−4)

Slope of AB

=x2−x1y2−y1=2–16−2=14=4

Slope of CF

= Perpendicular slope of AB

Slope of AB

−1 =−14

The equation of CF is given as,

y–y

=m(x–x

)

y+4=−14(x–3)

4y+16=−x+3

x+4y=−13 ——————————– (1)

Slope of BC

–x

–y

3–2

−4–6

−10

=−10

Slope of AD

=Perpendicular slope of BC

Slope of BC

−1

−10

−1

The equation of AD is given as,

y–y

=m(x–x

)

y+2=

(x–1)

10y+20=x–1

x–10y=21 ——————————– (2)

Subtracting equation (1) and (2),

x+4y=−13

−x+10y=−21

——————

14y=−34

y=−2.429

Substituting the value of y in equation (1),

x+4y=−13

x+4(−2.429)=−13

x–9.714=−13

x=−3.286

Orthocenter =(−3.286,−2.429)

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers