Sum of the ages of a father and the son is 40 years. If father's age is 3 times that of his son, then father's age is ________ * 2 points 35 40 30 45

Answer:

d=-2 c=-3

Step-by-step explanation:

3c-8d=7

4(c+2d=-7)

3c-8d=7

4c+8d=-28

4c+3c-8d+8d=7-28

7c=-21

c=-3

c+2d=-7

-3+2d=-7

2d=-4

d=-2

Given.

[tex](3c-8d=7)=(c+2d=-7)[/tex]

Multiply 4 to the second equation.

[tex]4(c+2d=-7)[/tex]

[tex]3c+8d=-28[/tex]

Compare the like terms.

[tex]4c+3c-8d+8d=7-28[/tex]

Solve.

[tex]7c=-21[/tex]

Divide 7 to both sides

[tex]\frac{7c}{7}=\frac{-21}{7}[/tex]

[tex]c=-3[/tex]

Substitute (-3) for c into the original second equation.

[tex]c+2d=-7[/tex]

[tex]-3+2d=-7[/tex]

Add (3) to both sides.

[tex](-3+2d=-7)+3[/tex]

[tex]2d=-4[/tex]

Divide (2) to both sides.

[tex]\frac{2d}{2}=\frac{-4}{2}[/tex]

[tex]d=-2[/tex]

Check your work.

[tex]3(-3)-8(-2)=7[/tex]

[tex]-9+16=7[/tex]

[tex]7=7[/tex]

[tex]c+2d=-7[/tex]

[tex]-3+2(-2)=-7[/tex]

[tex]-3-4=-7[/tex]

[tex]-7=-7[/tex]

Therefore your answer is.

[tex]c=-3\\d=-2[/tex]

Answer:

[tex]h(x)=x-3[/tex]

Answer:

h(x) = x-3

Step-by-step explanation:

y = x+3

Exchange x and y

x = y+3

Solve for y

Subtract 3 from each side

x-3 = y+3-3

x-3 =y

The inverse is x-3

Answer:

3 miles

Step-by-step explanation:

Since the x coordinates are the same, we only need to find the distance between the y coordinates

-3 - -6

-3 +6

3 units

Each unit is 1 mile

3 units * 1 miles / 1 unit =  3 miles

Answer:

[tex]\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]

So A is the answer

Step-by-step explanation:

[tex]y=\frac{19}{x^3}\\\mathrm{Interchange\:the\:variables}\:x\:\mathrm{and}\:y\\x=\frac{19}{y^3}\\\mathrm{Solve}\:x=\frac{19}{y^3}\:\mathrm{for}\:y\\y=\sqrt[3]{\frac{19}{x}}\\\sqrt[3]{\frac{19}{x}}\\\frac{\sqrt[3]{19} }{\sqrt[3]{x} }[/tex]

Answer:

165

Step-by-step explanation:

First, m<UTS=m<UTV+m<VTS by Angle Addition Postulate.  Then, you substitute all the values that you provided for the angles.  15x+15=x+15+140.  You then solve for x.

15x+15=x+155

14x=140

x=10

You then plug back in 10 for X in the value of m<UTS.  15(10)+15=165

Answer: 200 grams of oats, 0.96 liters of milk, 72 grams of sugar

Step-by-step explanation: 5 / 4 = 4/5. 4 is four-fifths of 5. So multiply everything by 4/5

250 * 4/5 = 200 grams

1.2* 4/5 = 0.96 liters

90* 4/5 = 72 grams

Answer:

1)7

2)8

3)9

Step-by-step explanation:

1)3x+5=5x-9

3x-5x=-9-5

-2x=-14

x=7

2)2x+5=3x-3

2x-3x=-3-5

-1x=-8

x=8

3)3x+2=5x-16

3x-5x=-16-2

-2x=-18

x=9

Hope I am correct and if I am not I will edit my answer

Answer:

1. x= 7

2. x= 8

3. x= 9

Step-by-step explanation:

1. 3x+5= 5x-9       2. 2x+5= 3x-3       3. 3x+2 = 5x-16

3x-5x= -9-5           2x-3x = -3-5           3x-5x = -16-2

-2x= -14                         -x = -8               -2x = -18

x= -14/-2                           x = -8/-1              x = -18/-2

x = 7                                       x = 8                   x = 9

Answer:

[tex]f(x)=-3x^2[/tex]

Step-by-step explanation:

A quadratic function is a function in which its degree (Highest power of the variable) is 2.

[tex]f(x)=-3x^2[/tex] is the function that has a degree of 2.

Answer:

the 2nd

Step-by-step explanation:

[tex] \sqrt[5]{4} \times \sqrt{2 } \\ {4}^{ \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{2 \times \frac{1}{5} } \times {2}^{ \frac{1}{2} } \\ {2}^{ \frac{2}{5} + \frac{1}{2} } \\ {2}^{ \frac{9}{10} } = \sqrt[10]{ {2}^{9} } [/tex]

Answer:

The next answer is 6x^4

Step-by-step explanation:

Answer: 19, 180, 181

Step-by-step explanation:

a^2 + b^2 = c^2

19^2 = 361

180^2 = 32,400

32,400 + 361 = 32,761

Square root of 32,761 = 181

Answer:

19,180,181

Step-by-step explanation:

I'm not rlly sure how to explain but I hope this helps though..!

Answer:

B

Step-by-step explanation:

Answer:

AAA

Step-by-step explanation:

We see that three set of angles are the same in the different triangle hence

It is congruent by Angle Angle Angle AAA

<UST = <QSR

<UTS = < QRS

<TUS = < SQR

Answer:

The value of 4 n z + 20 = 173

Step-by-step explanation:

Explanation:-

Given  153 = 2 (z +z )n

          2 ( z + z) n = 153

         2 ( 2 z ) n = 153

          4 z n = 153

Adding '20' on both sides , we get

         4 z n + 20 = 153 + 20

         4 z n + 20 = 173

Final answer:-

The value of 4 n z + 20 = 173

Answer:

x = 98

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x = 53+45

x = 98

Answer:

x°=98°

Step-by-step explanation:

Since a triangle's interior angles add up to 180°, then ∠G is 180°-45°-53° or 82°. Since ∠G and ∠x add up to 180° (they form a straight line), then x° is 180°-82° or 98°.

x°=98°

Answer:

180 cm

Step-by-step explanation:

Surface Area = 2(length * width + length * height + width * height)

S.A. = 2(8 * 3 + 8 * 6 + 3 * 6)

S.A. = 180 cm.

Answer:

yes

Step-by-step explanation:

because it happens that way that it wants

Answer:

The answer is {-4,2,6}

Step-by-step explanation:

I am sorry if i had more time i would explain but i gotta go.

Answer:

(x-5)^2 + (y-6)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-5)^2 + (y-6)^2 = 3^2

(x-5)^2 + (y-6)^2 = 9

Answer:

X=70

Step-by-step explanation:

180-120=60

60 + 50=110

180-110=70

Answer:70°

Step-by-step explanation:

missing angle- 180°-120°= 60

a total triangle= 180°

so x = 180-(50+60)

=180-110

x=70°

Answer:

Step-by-step explanation:

Total cake shared=1/2

Pete share=x

Bill= twice as much as Pete

=2x

Pete's share+ Bill's share=total share

x+2x=1/2

3x=1/2

x=1/2÷3

x=1/2×1/3

=1/6

Pete's share=x=1/6

Bill's share=2x

=2(1/6)

=2/6

=1/3

Answer:

[tex]-1[/tex]

Step-by-step explanation:

[tex]6 - y + 3[/tex]

[tex]-y+3+6[/tex]

[tex]-y+9[/tex]

A coefficient is a number that is used to multiply with a variable.

[tex]-y=-1y[/tex]

[tex]-1y+9[/tex]

Answer: No. the remote control car traveled 2 miles per hour whereas a car typically travels between 30 miles per hour and 60 miles per hour.

Step-by-step explanation:

[tex]\dfrac{115\ inches}{3.21\ seconds}\times \dfrac{1\ foot}{12\ inches}\times \dfrac{1\ mile}{5280\ feet}\times \dfrac{60\ seconds}{1\ minute}\times \dfrac{60\ minutes}{1\ hour}\\ \\\\=\dfrac{414,000\ miles}{203,385.6\ hours}\\\\\\=\dfrac{2.0\ miles}{1\ hour}[/tex]

Speed of Courtney's remote control car is: 2 mph

Courtney's remote control car is slower than an average freeway car  since averagely the speed of a car on the freeway is usually 60 mph.

Given that:

Distance covered by Courtney's car = 115 inches

Time taken to cover that distance = 3.21 seconds

Converting inches to miles and seconds to hours:

[tex]1 inch \approx 0.0000158 miles\\115 inches = 115 \times 0.000158 miles\\=\approx 0.00182 miles\\\\3.21 seconds = \dfrac{1}{3600} \times 3.21 \: hours\\= 0.00089 \: hours\\[/tex]

Thus speed of Courtney's car can be calculated as

[tex]Speed = \dfrac{distance}{time}\\\\= \dfrac{0.00182}{0.00089} mph\\\\= 2.089 mph \approx 2 mph[/tex]

Thus Speed of Courtney's car is approx 2 miles per hour whereas the average speed of a car on a freeway is about 60 miles per hour.

Learn more here:

https://brainly.com/question/11583742