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31. Tony is borrowing $10 from his mom every week for buying more toy cars for his Hot Wheels collection. How much money does he owe at the end of 7 weeks?

33. Linda borrowed $7 a day until she had borrowed a total of $56. For how many days did she borrow money?

34. The temperature increased 2o per hour for six hours. How many degrees did the temperature raise after six hours?

35. Max lost 24 pounds in 8 weeks on his new weight-loss plan. What was his average change in weight per week?

[tex]3\times 5 +4 \times 2- 3\\\\=15+8-3\\\\=12+8\\\\=20[/tex]

Answer:

x=1 y=4

Step-by-step explanation:

5x+y=9

10x-7y=-18

-35x-7y=-63

-45x=-45

x=1

y=4

(10)-(28)=18

Brainliest would be appreciated

Answer:

x=1 y=4

Step-by-step explanation:

a

Step-by-step explanation:

Angle of a circle = 360

x + 90 + 84 + 16 = 360

x + 190 = 360

x = 170°

Answer:

2 (y-value increase as x-value also increase)

Step-by-step explanation:

Lets look at the graph! when x is 7, y is 4. and when x is 9, y is 5 which is proving that they BOTH increase

Answer:

True

Step-by-step explanation:

The triangles are both right triangles, meaning they can be used with pythagorean theorem. If the triangles CAD and CBD share the same "hypotenuse" (CD), and they have a pair of congruent sides, they other pair of sides must be able to fit into the pythagorean theorem/

Answer:

Step-by-step explanation:

Angles a and 60°, also c and 65° are alternate interior angles and therefore are equal:

Angles b and 65° form a linear pair, so they sum to 180°

Answer:

a = 60°

b = 115°

c = 65°

Step-by-step explanation:

Alternate Interior Angles Theorem

If a line intersects a set of parallel lines in the same plane at two distinct points, the alternate interior angles that are formed are congruent (same).

Therefore, a = 60° and c = 65°

Angles on a straight line sum to 180°

⇒ b + 65° = 180°

Subtracting 65° from both sides:

⇒ b + 65° - 65° = 180° - 65°

⇒ b = 115°

x=8

Hope it helps.

Do comment if you have any query.

[tex]12x-5 = 91\\\\\implies 12x = 91+5\\\\\implies 12x = 96 \\\\\implies x= \dfrac{96}{12}\\\\\implies x = 8[/tex]

Answer:

B)

E)

Step-by-step explanation:

       translation                                   Dilation

M(x,y) ——————>M”(x”,y”)=(x+5,y+8) ——————> M’(x’,y’)=(3x”,3y”)

S(-5,-8) ——————>S”(x”,y”)=(0,0) ——————> S’(x’,y’)=(0,0)

R(-7,-6) ——————>R”(x”,y”)=(-2,2) ——————> R’(x’,y’)=(-6,6)

Q(-8,-10) ——————>Q”(x”,y”)=(-3,-2) ——————> Q’(x’,y’)=(-9,-6)

Using the binomial distribution, it is found that the probability that exactly three workers owns a car is given by:

A. 0.267.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that exactly three workers owns a car is given by P(X = 3), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 3) = C_{10,3}.(0.3)^{3}.(0.7)^{7} = 0.267[/tex]

Hence option A is correct.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

option A is the correct answer

side of rhombus: 2.44 inch

Use the sine rule:

[tex]\sf \dfrac{sin(A)}{a} = \dfrac{sin(B)}{b}[/tex]

=============                       Let the side be "b"

[tex]\rightarrow \sf \dfrac{sin(110)}{4} = \dfrac{sin(35)}{b}[/tex]

[tex]\rightarrow \sf b = \dfrac{sin(35)*4}{sin(110)}[/tex]

[tex]\rightarrow \sf b = 2.441549178[/tex]

[tex]\rightarrow \sf b =2.44 \ in[/tex]

Answer:

3.5 in (nearest tenth)

Step-by-step explanation:

Properties of a rhombus:

Therefore, a rhombus is made up of 4 congruent right triangles.

** see attached diagram **

To find the side length of the rhombus, we need to calculate the hypotenuse of the right triangle.

As the shorter diagonal is 4 in, the base of the right triangle is 2 in

The angles that measure 110° are the angles by the shorter diagonal.  Therefore, the base angle of the right triangle is 55°

Using cos trig ratio:

[tex]\sf \cos(\theta)=\dfrac{A}{H}[/tex]

where:

Given:

[tex]\implies \sf \cos(55^{\circ})=\dfrac{2}{x}[/tex]

[tex]\implies \sf x=\dfrac{2}{\cos(55^{\circ})}[/tex]

[tex]\implies \sf x=3.486893591...[/tex]

Therefore, the side of the rhombus is 3.5 in (nearest tenth)

Answer:

Step-by-step explanation:

The slope of the line between two points can be found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (2 -0)/(-1 -(-3)) = 2/2

  m = 1 . . . . . the slope of the line is 1

__

The value of the y-intercept can be found by solving the slope-intercept equation for b.

  y = mx +b

  b = y -mx

  b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)

The equation of the line with slope 1 and y-intercept 3 can be written as ...

  y = x +3

Answer:

The angle is 90°, and the type of angle is a right angle.

Step-by-step explanation:

That is a right angle, the little box and the straight lines indicate that is one. A right angle will always be 90°.

Answer:

To convert 30 yards to feet, multiply by 3.

Step-by-step explanation:

We have to find out how many feet is in 1 yard and we have to multiply by 3 to find the answer. So the answer is multiply by 3

Answer:

(5,0)

Step-by-step explanation:

The # 5 is on the x axis and there is no value for the y since it is 0. This means that this ordered pair will be located on the x-axis.

Answer:

-> (x,y) => (1,5)

Step-by-step explanation:

Let's solve your system by elimination.

18x−7y=−17;3x−3y=−12

Multiply the second equation by -6, then add the equations together.

(18x−7y=−17)

−6(3x−3y=−12)

Becomes:

18x−7y=−17

−18x+18y=72

Add these equations to eliminate x:

11y=55

Then solve 11y=55for y:

11y=55

11y/11 = 55/11

(Divide both sides by 11)

y=5

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

18x−7y=−17

Substitute5foryin18x−7y=−17:

18x−(7)(5)=−17

18x−35=−17(Simplify both sides of the equation)

18x−35+35=−17+35(Add 35 to both sides)

18x=18

18x/18 = 18/18

(Divide both sides by 18)

x=1

Answer:

x^3 / 6

Step-by-step explanation:

Multiply the three dimensions to get the volume

x * x/2 * x/3 =  

The expression represents the volume of the prism that will be, x³/6. The expression is obtained by finding the volume of the rectangular prism for the given data.

It is defined as the combination of constants and variables with mathematical operators.

It is given that, the length is x, width x/2, and height is x/3.

The volume of the rectangular prism is the product of the length, width, and height.

V= length × width × height

V=x × x/2 × x/3

Apply the multiplication operation in the fraction

Simply multiply the numerators to obtain the product's numerator and the denominators to obtain the product's denominator in order to multiply two fractions.

V=x³/6

Thus, the expression represents the volume of the prism that will be, x³/6. The expression is obtained by finding the volume of the rectangular prism for the given data.

Learn more about the expression here:

brainly.com/question/14083225

#SPJ2

Answer:

14

Step-by-step explanation:

1. Add 7 to both sides

2. This leaves us with x=14

Answer:

If both objects started with no charge, they would carry opposite charges of the same magnitude after rubbing.

Step-by-step explanation:

When one insulator is rubbed against another, some electrons on one insulator might travel to the surface of the other insulator. Electrons are neither lost nor created in this process- they are just moved from one surface to the other.

Let the two insulators in this question be denoted as [tex]A[/tex] and [tex]B[/tex]. Assume that both insulators were initially not charged.

Let [tex]{\rm e}[/tex] denote the fundamental charge. Each electron carries a negative charge of [tex](-1\; {\rm e})[/tex]. Assume that [tex]n[/tex] electrons are moved from insulator [tex]A\![/tex] to insulator [tex]B\![/tex]:

In other words, the insulator that lost some electrons (which are negatively charged) now carries less negative charge and becomes positively charged. In contrast, the insulator that gained some electrons now carries more negatively charge becomes negatively charged.

The amount of electrons on the two objects combined stays unchanged. Thus, the amount of charge one insulator lost is equal to what the other insulator gained. Therefore, the sign of the charge on the two insulators would be different, but the magnitude (absolute value) of the charge would be equal.

Therefore, the two objects would be oppositely charged, with the magnitude of the charge on them being equal.

Answer:4

Step-by-step explanation:

2 slices each ten people times them together 20 slices .4 pizzas*5slices=20

Answer:

Step-by-step explanation:

the median is 26.5, but rounding that up the median will be 27. you can find this by determining the middle number of the data set.

Answer:

10 grams

Step-by-step explanation:

200 x 5 = 1000

If we move the decimal over two places left we get :

10.00

That means that there are 10 grams of sugar in 200 grams of 5% sugar syrup

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Have a nice day.

Answer:

DWest I think

Step-by-step explanation:

I dont really know if this is right so pls forgive me if this is wrong.

Answer:

Step-by-step explanation:

Answer:

K=6

Step-by-step explanation:

I hope this answer is right

Answer:

this equation has 1 answer

Step-by-step explanation:

x = 2

Answer:

volume of cuboid = lbh = 8.2 ft x 9.4 ft x 10.7 ft

= 824.8 ft^3