A toy store received a large shipment of toy race cars. The cars come in blue and red. Because the red cars are more popular, the toy store wanted the ratio of red cars to blue cars to be 3:2. If total number of cars received was 40, then how many of the cars were red?

The triangle above can be solved using cosine rule, the value of a using cosine rule is approximately 18.5

The side can be found using cosine formula for triangles.

a² = b² + c² - 2bc cos A

where

a = ?

b = 8 units

c = 14 units

Therefore,

a² = 64 + 196 - 2 × 8 × 14 cos 112

a² = 260 - 224 cos 112

a² = 260 + 83.9118769252

a = √343.9118769

a = 18.5448611993

a = 18.5

Therefore, the value of a is approximately 18.5

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Answer:

19.6

Step-by-step explanation:

35% of 56

=35/100×56      

19.6

hope this helps

pls brainliest!!!!!

Answer:

19.6 is the answer

Step-by-step explanation:

35%of 56

35/100×56

19.6 answer

Answer:

f(7) = 16

Step-by-step explanation:

substitute x = 7 into f(x) , that is

f(7) = 3(7) - 5 = 21 - 5 = 16

Answer:

x=−8

Step-by-step explanation:

(5)(x)+(5)(−2)+74=−3x

5x+64=−3x

8x+64=0

8x=−64

x=−8

Answer:

da answer iz equals to -8

[tex]\begin{array}{ccll} \%&amount\\ \cline{1-2} 10&15\\ 40&x \end{array}\implies \cfrac{10}{40}=\cfrac{15}{x}\implies \cfrac{1}{4}=\cfrac{15}{x}\implies x=60[/tex]

Answer:

$21

Step-by-step explanation:

if 10% is $15 then 40%*$15 is $21

Answer:

Dilate circle A by a scale factor of 4. (c)

Step-by-step explanation:

HOPE THIS HELPS!!!

The steps will help show that circle A is similar to circle B is Dilate circle A by a scale factor of 4.

The correct option is (C).

Dilation means changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Circle A has center of (0, 4) and a radius of 6

circle B has a center of (−3, 5) and a radius of 24.

The radius of circle A is 6 cm and radius of circle B is 24 cm, which 4 times the radius of circle A.

We know, Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.

This transformation produces an image that is the same as the original shape.

Thus, Dilate circle A by a scale factor of 4.

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Answer:

Step-by-step explanation:

$39 plus the amount of money Grace had spent, $36.

39 + 36 = 75.

That gets rid of the "39 less than" part. But in order to find out how much money Emily spent you need to triple 75.

75 x 3 = 225

Therefore, x = 225 or $225 was the amount that Emily spent.

Hope this helps! ^u^

Brainliest please.

Answer:

it takes 3 days for the crew to make one house

El teorema del residuo corresponde al enunciado de que cuando un polinomio se divide por el término x-c, entonces queda un residuo.

Se puede definir como dividir un polinomio por un binomio, que tendrá un residuo. Es decir, es un método de cálculo de integrales de funciones analíticas en caminos cerrados.

Por tanto, a través del teorema del residuo es posible realizar los métodos de división amplia y división sintética.

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Answer:

30

Step-by-step explanation:

Hi I am so not helpful do not use this answer

Answer:

If the maximum measurement error is at most 0.08 oz. , write and solve an absolute value inequality for the range of the possible number of ounces, Z, that can be in a jug of orange juice.

Simplify your answer and write it in interval notation.

Step-by-step explanation:

I will only give you that. I am so sorry that my response is this late love. If there was some way to receive your question, I would most definitely help you! I hope you did well on this problem!

=)

Answer:

The midpoint is 7/2 -9/2

Step-by-step explanation:

The formula for finding the midpoint of a line is

This means the formula for the x-coordinate of the midpoint is , and the formula for the y-coordinate of the midpoint is .

First, let's find the x-coordinate of the midpoint:

Add the two x values of the coordinates given, then divide that by two.

Next, let's find the y-coordinate of the midpoint:

Add the two y values of the coordinates given, then divide that by two.

Therefore, the midpoint of the line segment is . Hope this helps!

Answer:

the correct answer is B. 18 in

Answer:

x = 24

Step-by-step explanation:

First, substitute x = -6y into the top equation:

-6y + 3y = 12

-3y = 12

Divide both sides by -3, and you get:

y = -4

Now, you plug in the y value to the second equation:

x = -6(-4)

x =24

Given :

[tex]{ \longrightarrow\qquad \sf x + 3y = 12 \: –––– \sf \: (i)}[/tex]

⠀

[tex]{ \longrightarrow\qquad \sf x = - 6y \: –––– \sf \: (ii)}[/tex]

⠀

(i) – (ii) we get :

⠀

[tex]{ \longrightarrow \qquad \sf \: {x + 3y -x = 12 - ( - 6y)}}[/tex]

⠀

[tex]{ \longrightarrow \qquad \sf \: { \cancel{x} + 3y \: \cancel{ - \: x }= 12 + 6y}}[/tex]

⠀

[tex]{ \longrightarrow \qquad \sf \: { 3y - 6y = 12 }}[/tex]

⠀

[tex]{ \longrightarrow \qquad \sf \: { - \: 3y = 12 }}[/tex]

⠀

[tex]{ \longrightarrow \qquad \sf {- \: y = \dfrac{12}{3} }}[/tex]

⠀

[tex]{ \longrightarrow \qquad \bf \: { y = - \: 4 }}[/tex]

⠀

Now, Substituing the value of y in equation (i) :

⠀

[tex] \longrightarrow \qquad \sf{x + 3( - 4)= 12}[/tex]

⠀

[tex] \longrightarrow \qquad \sf{x - 12= 12}[/tex]

⠀

[tex] \longrightarrow \qquad \sf{x = 12 + 12}[/tex]

⠀

[tex]\longrightarrow \qquad \bf{x = 24}[/tex]

⠀

Therefore,

Answer:

Step-by-step explanation:

We can use the equation of a straight line to model the cost of servicing the car.

let the cost be y and the number of hours be x

and the charge per hour is m

y=mx+c

y=50x+25

given that the time is 3.45 hours it is assumed that the charge is for 4 hours since for a fraction of 0.45 hours we are charged $50

y=50(4)+25

y=200+25

y=$225

Answer:

Step-by-step explanation:

The order of operations is the key to solving this problem.

The PEMDAS acronym stands for:

Parenthesis

Exponents

Multiply

Divide

Add

Subtract

10+(28-8)÷4

First, solve parenthesis.

[tex]\sf{10+(28-8)\div4}[/tex]

[tex]\sf{28-8=20}[/tex]

Rewrite the problem down.

[tex]\sf{10+20\div4}[/tex]

Then, divide.

20/4=5

Rewrite the problem down.

10+5

Add.

[tex]\sf{10+5=\boxed{\sf{15}}[/tex]

So, the correct answer is 15.

I hope this helps you! Please let me know if my answer is incorrect.

Answer:

[tex]\displaystyle 15[/tex]

Step-by-step explanation:

[tex]\displaystyle Grouping\:Symbols \hookrightarrow G \\ Exponents, Indices, or\:Radicals \hookrightarrow E \\ Multiplication\:and/or\:Division \hookrightarrow M \\ Subtraction\:and/or\:Addition \hookrightarrow S \\ \\ 10 + (28 - 8) \div 4 \hookrightarrow 10 + 20 \div 4 \\ \\ \boxed{15} = 10 + 5[/tex]

By using GEMS, the result is fifteen.

I am joyous to assist you at any time.

Answer:

See below.

Step-by-step explanation:

Area (rectangle) = Area (square)

6 x 10 = s²

s² = 60

s = √60

s = 2√15 cm

Perimeter

= 4s

= 4 x 2√15

= 8√15 cm

Answer:10 books per shelf

Step-by-step explanation:

30 books

3 shelves

30x3=10

10 books per shelf

circumference = 2 x pi x r

r = 65 cm

so C ≈ 2 x 3,14 x 65 ≈ 408,20

Answer: C=408.41 centimeters

Step-by-step explanation:

2 times pi times 65

130 pi

Approximately 408.41

Answer:

29 weeks or 4 months (not exactly)

Step-by-step explanation:

300/10.5 is 28.57

which 29 weeks, you earn 4 dollars and 50 cents left over

Answer:

[tex]2x-3y[/tex]

Step-by-step explanation:

Apply the distributive property by multiplying the outside to both terms on the inside:

[tex]-\frac{1}{4}[/tex] of -8x is equal to 2x

[tex]-\frac{1}{4}[/tex] of 12y is equal to 3y.

Answer:

lemon pie is 7.5 and blueberry is 4.5

Step-by-step explanation:

Answer:

950

Step-by-step explanation:

Not gonna lie I kinda stole yo answer other person deserves all the credit

Answer:42 x27

Step-by-step explanation:Calculate how much paint and primer you need by entering the dimensions of your room below. Estimate how many gallons are needed based on average paint/primer coverage. Optionally, include ceiling paint in your estimate.

The number of gallons that are needed will be 6 gallons.

The number of gallons of paint that will be needed in order to paint a wall that is 42 feet wide and 27 feet high if one gallon will cover 200 square feet will be:

= (27 × 42) / 200

= 1134 / 200

= 5.67

= 6 gallons.

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Answer:

Well we know this is a parallelogram

-A theorem states that if both opposite side of a quadrilateral (4 sided shape) are congruent then it’s a parrlelogram.
-We also know this is a rhombus becuase all sides are congruent and has no right angle present. A theorem to support this is, If two consecutive sides of a parallelogram are congruent, then the parallelogram is a a rhombus.

So we’re trying to find x.

A theorem states that “The diagonals of a rhombus bisects two angles of the rhombus.”

Bisect means cut in a way that both angles are equal.

That means the two angles given have to be equal to each other.

We can make an equation.

110-x = x

Now solve
2x= 110

X= 55

X would equal 55

x=55

The mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.

The mean credit score is the ratio of sum of all the credit score to the number of different credit scores.

Ned is looking over his credit scores. The different score is in his credit score are,

The sum of all the score is,

[tex]\sum \rm score=690+691+651\\\sum \rm score=2032[/tex]

There are total 3 scores. Thus the mean credit score is,

[tex]m=\dfrac{2032}{3}\\m\approx677[/tex]

Hence, the mean credit score of Ned whose experian score is 690, equifax score is 691, and transunion score is 651 is 677.

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Answer:

A. 677

Step-by-step explanation:

That is his mean credit score, i got it right on edge

Answer:

The riders experience free fall for about 3.12 seconds.

Step-by-step explanation:

Find t when  h = 105

105= [tex]-16t^{2} +256[/tex]

0= [tex]16t^{2}[/tex] +160

0 = -16([tex]t^{2}[/tex]-10)

[tex]t^{2}[/tex] - 10 = 0

[tex]t^{2}[/tex] = 10

[tex]t = \sqrt{10}[/tex]

The riders experience free fall for about 3.16 seconds.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find how long the riders experience free fall, we need to find the time when the height is 105 feet above the ground.

So, we need to solve the equation:

-16t² + 265 = 105

Adding 16t² to both sides, we get:

16t² = 160

Dividing both sides by 16, we get:

t² = 10

Taking the square root of both sides, we get:

t = ±3.16

Since we are only interested in the positive value of t, we can round 3.16 to the nearest hundredth to get:

t = 3.16 seconds

Therefore,

The riders experience free fall for about 3.16 seconds.

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