Can someone help me with this lesson ??

Answer:

3x=50-10y

Got it right on edge

The correct equation to find the number of each type of weight Bob has,

⇒ 3x = 50 - 10y

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Bob has some 10 lb weights and some 3 lb weights. Together, all his weights add up to 50 lb.

Let x represents the number of 3 lb weights and y represents the number of 10 lb weights.

Hence, The correct equation to find the number of each type of weight Bob has,

⇒ 3x + 10y = 50

⇒ 3x = 50 - 10y

Thus, The correct equation to find the number of each type of weight Bob has,

⇒ 3x = 50 - 10y

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Answer:

x=2

Step-by-step explanation:

We can use the Pythagorean theorem since this makes a right triangle

a^2+b^2 = c^2

The radius is 1.5

1.5^2 + x^2 = (1+1.5)^2

1.5^2 +x^2 = 2.5^2

2.25+x^2=6.25

Subtract 2.25 from each side

x^2 = 4

Taking the square root of each side

x= 2

Answer:A

Step-by-step explanation:Took quiz

Answer:

1/7

Step-by-step explanation:

We can us the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

   = ( 3-4)/(-9- -2)

   = (3-4)/(-9+2)

   = -1 /-7

   =1/7

Answer:

To be fair I believe it's 3 because 27/3=9 and 3x1=3

Answer:

The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.

So we have:

32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)

32 + 2x = 180 (combine the 2 x's together)

2x = 148 (subtract a 32 from both sides)

x = 74

Let me know if this helps!

Answer:

1287.48 km

Step-by-step explanation:

80 miles = 128.748 km

Putting in 'x' for distance

x = 80*10  

x = 800 miles

or

x = 1287.48 km

To find the missing value divide both sides by -7:

28/-7 = 4

The missing value is 4

Answer= -4

Step-by-step explanation:

negative × negative = positve. therefore if 7×4=28 , then -7×-4=28

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

To find the value of sin 45° we divide the opposite side length with hypotenuse

[tex]\frac{1}{\sqrt{2} }[/tex]  we then multiply this by [tex]\sqrt{2}[/tex] because denominator cannot be irrational

[tex]\frac{1}{\sqrt{2} }[/tex]  x [tex]\sqrt{2}[/tex]  = [tex]\frac{\sqrt{2} }{2}[/tex] gg

The remainder theorem says that dividing a polynomial f(x) by a 1st-degree polynomial g(x) = x - c leaves a remainder of exactly f(c).

(a) With f(x) = px ³ + 4x - 10 and d(x) = x + 3, we have a remainder of 5, so

f (-3) = p (-3)³ + 4(-3) - 10 = 5

Solve for p :

-27p - 12 - 10 = 5

-27p = 27

p = -1

(b) With f(x) = x + 3x ² - px + 4 and d(x) = x - 2, we have remainder 8, so

f (2) = 2 + 3(2)² - 2p + 4 = 8

-2p = -10

p = 5

(you should make sure that f(x) was written correctly, it's a bit odd that there are two x terms)

(c) f(x) = 2x ³ - 4x ² + 6x - p, d(x) = x - 2, R = f (2) = 18

f (2) = 2(2)³ - 4(2)² + 6(2) - p = 18

12 - p = 18

p = -6

The others are done in the same fashion. You would find

(d) p = 14

(e) p = -4359

(f) p = 10

(g) p = -13/2 … … assuming you meant f(x) = x ⁴ + x ³ + px ² + x + 20

The probability notation for the probability for choosing a green marble is [tex]P(G)=\frac{n(G)}{n(T)}[/tex], where [tex]n(G)[/tex] denotes the number of green marbles and [tex]n(T)[/tex] denotes the number of total marbles in the bag (or from wherever we are choosing).

The probability of occurrence of an event is the ratio of the number of favorable outcomes and the total number of outcomes, where the favorable outcomes are the outcomes that implies the occurrence of the event.

Here, the event is "choosing a green marble". So, the number of green marbles in the bag is the number of favorable outcomes and the total number of marbles in the bag is the total number of outcomes.

Denoting [tex]G[/tex] as the event of "choosing a green marble", the notation [tex]P(G)[/tex] denotes the probability of event [tex]G[/tex], that is, probability of choosing a green marble.

Denoting [tex]n(G)[/tex] and [tex]n(T)[/tex] as the number of green marbles and total number of marbles respectively, by the definition, the probability notation for the probability for choosing a green marble is given as [tex]P(G)=\frac{n(G)}{n(T)}[/tex].

Learn more about probability notation here:

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Answer:

(1, -13)

Brainliest, please!

Step-by-step explanation:

To find the x coordinate of the vertex, we use the formula, -b / 2a. In this problem, a = 2, and b = -4. c is -5, but we don't need to know it.

- -4 / 2(2) = 4 / 4 = 1

Vertex = (1, y)

Next, we plug 1 back into the parabola equation for x to solve for y.

y = -2(1)^2 - 4(1) -5

y = -2^2 - 4 - 5

y = -4 - 4 - 5

y = -8 - 5

y = - 13

Vertex = (1, -13)

Answer:

let the number be x

[tex] \frac{1}{3} x = x - 8 \\ x = 3(x - 8) \\ x = 3x - 24 \\ 3x - x = 24 \\ 2x = 24 \\ x = 12[/tex]

Answer:

x=12

Step-by-step explanation:

1/3 of 12 is 4 which is 8 less then 12 :))))))

Hope this helps <3

Answer:

D. 16 years old

Step-by-step explanation:

Step 1: Let T be Tien's age and J as Jordan's age (today),

[tex]T=\frac{1}{4}J[/tex]

Step 2: Let T be Tien's age and J as Jordan's age (in 2 years),

[tex]T+2=\frac{1}{3} (J+2)[/tex]

[tex]T=\frac{1}{3}(J+2)-2[/tex]

Step 3: As their age differences will always be similar we can have the two equations above equal to find Jordan's age,

[tex]\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16[/tex]

Answer:

The volume is 245 m^2

Step-by-step explanation:

the volume formula is aways base time height, or V = bh

so plot the number in, 35 x 7 = 245

Answer:

a = m/c

~~~~~~~~~~~~~~~~~~~~~~~

m=ca

divide both sides by c

you get a = m/c

Step-by-step explanation:

Answer:

a = m/c

Step-by-step explanation:

m = ca

divide both sides by c

m/c = ca/c

m/c = a

:.a = m/c

Answer:

Step-by-step explanation:

To solve this, we are going to make an age table:

                       Age Now                 Age 10 years ago

Tanya

Elliot

Filling the in the Age Now column comes from the first sentence. If Elliot is 2 times Tanya's age and we don't know Tanya's age, then Tanya's age is x and Elliot's age is 2x:

            Age Now                Age 10 years ago

Tanya         x

Elliot         2x

Filling in the Age 10 years ago column simply requires that we take their ages in the Age Now column and subtract 10 from each age:

         Age Now                Age 10 years ago

Tanya     x                              x - 10

Elliot      2x                           2x - 10

Since the question is How old is Elliot now based on the fact that 10 years ago....blah, blah, blah, we are using the ages in the 10 years ago column to write our equation. It says:

10 years ago, Elliot was 4 times as old as Tanya. Translated into mathspeak:

2x - 10 = 4(x - 10) and

2x - 10 = 4x - 40 and

-2x = -30 so

x = 15. That means that Elliot is 30 and Tanya is 15

72 - 45 = 27

Samantha took 27 coins. She took 3 dimes, 2 nickels and all but 1 penny, so 7 pennies. This is 12 coins. The rest must be quarters. 27 - 12 = 15 quarters.

15 x 0.25 = 5.25

The value of the quarters that Samantha took is $3.75.

Hope this helps!

from 0 to 20

neither the seconds nor the height are likely to be negative.

Answer:

x = 1

Step-by-step explanation:

6x - 9 = 2x - 5

Move variables to one side

6x - 9 = 2x - 5

-2x       -2x

4x - 9 = - 5

Isolate variable

4x - 9 = - 5

    + 9    +9

4x = 4

4x/4 = 4/4

x = 1

Answer:

I think this is the right answer but last two signs are incorrect

Hope this will help

Answer:

i dont know

Step-by-step explanation:

Answer:

Could you Write the question more clearly?

Step-by-step explanation:

Step-by-step explanation:

it is simple.

there is a constant speaking time of 25 minutes.

the duration of the meeting is the speaking time plus the question answering time.

so,

q = 1 means t = 25 + 1 = 26

q = 2 means t = 25 + 2 = 27

q = 3 means t = 25 + 3 = 28

q = 8 means t = 25 + 8 = 33

Answer:

= profit in the year 1995 are $880,000

Answer:

3          12

------ = ---------

1           4

Step-by-step explanation:

We need to keep the relationship in the same order

3 ft         12 ft

------ = ---------

1 yd           4 yds

3          12

------ = ---------

1           4

Answer:

the answer is B

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

first year's work is 1/6

second year's work is 1/8

third year's work is 1/12

combining all 3 gives us

1/6 + 1/8 + 1/12

which simplifies to 3/8

Answer:

D

Step-by-step explanation:

[tex]8x \sqrt{2} - 4 \sqrt{2} [/tex]

Step-by-step explanation:

150=45

150 -25=x

:150=45

125=x

cross multiply

150x/150=5625/150

x=38 days

Numbers can be estimated by approximating them. So, we need to approximate [tex]\sqrt{71}[/tex] to the nearest integer to get its estimate of the radius in the nearest foot.

The radius to the nearest foot is 8ft

Given that

[tex]r = \sqrt{71}[/tex]

To calculate the radius, we simply determine the square root of 71

[tex]r = 8.42614977318[/tex]

Approximate to the nearest integer

[tex]r = 8[/tex]

Hence, the radius of the circle to the nearest foot is 8ft.

Read more about approximation at:

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Answer:

I am not sure but it may be option c .

Step-by-step explanation:

I chose option c because in parallelogram the opposite sides are parallel .

Answer:

2

Step-by-step explanation:

for this question you've to cross multiply

-22/9r=11/9

99r=-198

then you divide both sides by 99 inorder to remain with r on one side

99r/99=198/99

r=2

I hope this helps