What is the solution to this system of
equations?
S2x + 8y = -4
x + 4y = -2

Answer: There were 78 red apples at the party.

Step-by-step explanation:

This situation can be represented by the equation  

x + 3x + 2(3x) = 130    where x is the number of green apples, 3x is the number of  yellow apples and 2(3x) is the number  of red apples.

Now solve for x

x +3x +2(3x) =130

4x + 6x = 130

10x  = 130

x =  13  

Now we know that x is 13 so put it into the expression for red apples and solve for the actual number of red apples.

2 * (3*13)  = ?

2 * 39 = 78  

Hey there! :)

Answer:

x = 3.

Step-by-step explanation:

Begin by setting up a ratio comparing the small triangle to the large triangle. Remember, combine the values of the parts of the sides given to find the total lengths of the sides:

2x + x + 5 = 3x + 5

4 + 3 = 7

Now, we can set up a ratio:

[tex]\frac{x+5}{4}=\frac{3x+5}{7}[/tex]

Cross multiply:

7(x + 5) = 4(3x + 5)

Distribute:

7x + 35 = 12x + 20

Subtract 7x from both sides:

35 = 5x + 20

Subtract 20 from both sides:

15 = 5x

Divide both sides by 5:

x = 3.

Answer:

Step-by-step explanation: You can find the value of x with a little knowledge about proportions between similar polygons. The sides with lengths relative to x are similar to each other meaning that you can use the proportion: x/3x+5 = 4/7 solve for x by cross multiplying and you will get the value of x.

Answer:

9 feet

Step-by-step explanation:

Answer:

The Width of the garden will be 9 feet.

Step-by-step explanation:

Given:

Manny has wood =48 feet

Length of the garden = 15 feet

The equation which can be used. (2l + 2w) = 48

We need to find the width of the garden.

Solution :

Now Length of the garden is given we will substitute in the given equation to find the width.

(2l + 2w) = 48

2 x 15 + 2w = 48

30 + 2w = 48

Now Using Subtraction property we will subtract both side by 30 we get;

30 + 2w -30 = 48 -30

2w = 18

Now Using Division Property we will divide both side by 2 we get;

2w = 18

/2

w = 9

Answer:

Answer is A: 9 feet

Answer:

[tex] {3x}^{2} + 2x[/tex]

Solution,

[tex]x(3x + 2) \\ = x \times 3x + x \times 2 \\ = {3x}^{2} + 2x[/tex]

hope this helps...

Good luck on your assignment..

Answer:

3x²+2x

Step-by-step explanation:

=> x(3x+2)

Using distributive property

=> (x*3x)+(x*2)

=> 3x²+2x

Answer: 8 times

Step-by-step explanation:

Youre essentially doing 3 divided by 3/8.

3 is equivalent to 3/1. And when you divide fractions, you have to multiply by the reciprocal. the reciprocal of 3/8 is 8/3.

[tex]\frac{3}{1} *\frac{8}{3} = \frac{24}{3} = 8[/tex]

There are eight (8) 3/8’s are in 3

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The amount of mix would be 16 and the amount of milk would be 8 work is in the picture

Answer:

a = 1.5

b = 1.75

Step-by-step explanation:

First, we need to solve [tex](x+a)^2[/tex] and replace the result in the initial equation as:

[tex]x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b[/tex]

Then, this equality apply only if the coefficient of [tex]x[/tex] is equal in both sides and the constant is equal in both sides.

It means that we have two equations:

[tex]3x=2ax\\4=a^2+b[/tex]

So, using the first equation and solving for a, we get:

[tex]3x=2ax\\3=2a\\a=\frac{3}{2}=1.5[/tex]

Finally, replacing the value of a in the second equation and solving for b, we get:

[tex]4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75[/tex]

Answer:

140

Step-by-step explanation:

Sum of angles around a point = 360

So, if one angle 8 reflex and measures 220, it’s adjacent side measures.

360-220 = 140.

Hope this helps.

Good Luck

Answer:

27 smoothies

Step-by-step explanation:

if you have 27 cups and one requires one cup, it would be 27 smoothies Katherine can make :)

Answer:

A. 102

B. 78

Step-by-step explanation:

mEG = 360 - 258 = 102°

m∠EFG = 1/2 ( major arc - manor arc) = 1/2 (258 - 102) = 78°

Answer:

A

Step-by-step explanation:

In a function no X's can repeat which is what the vertical line test is. And in this case no X's repeat therefore, making it a function.

Answer:

No, it fails the vertical line test

Step-by-step explanation:

This is not a function.  It does not have a one to one correspondence.  There are x values that have more than one y value.  It fails the vertical line test

Answer:

[tex]3t^9[/tex]

Step-by-step explanation:

Image attached below.

Answer:

the answer is 6 just check it

Answer:

The answer is 2.

Step-by-step explanation:

3 - 2 = 1

7 - 5 = 2

2 x 1 = 2

Answer:60 degrees

Step-by-step explanation:BAC =90 Degrees

BAD= 30 degrees

Since BAD and DAC are complementary angles, they add up to 90 degrees

So, 90 degrees-30 degrees= DAC which is =60 degrees

HOPE IT WAS CLEAR

Angle DAC is determined to be 60 degrees as it is complementary to angle BAD, which measures 30 degrees.

According to the given information, angle BAD measures 30 degrees. It is stated that angle BAD and angle DAC are complementary angles, meaning they add up to 90 degrees.

To find the measure of angle DAC, we subtract 30 degrees from 90 degrees:
90 degrees - 30 degrees = 60 degrees.

Therefore, the angle DAC measures 60 degrees.

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Answer:

8

Step-by-step explanation:

Answer:

He needs 0.275 cups of orange juice to reach his estimates

Step-by-step explanation:

Patel estimates he needs 2 cups of orange juice for his family . He squeezed fresh juice from 5 different oranges and got the following quantities measured in cups.

4/17 cups, 3/10 cups , 9/20 cups, 3/11 cups and 7/15 cups.

Adding them together we will know the amount he got. Therefore,

4/17 + 3/10 + 9/20 + 3/11 + 7/15

(40 + 51)/170  + 9/20 + 3/11 + 7/15

91/170 + 9/20 + (45 + 77)/165

(1820 + 1530)/3400 + 122/165

3350/3400 + 122/165

0.98529411764 + 0.73939393939

1.72468805703

Patel got approximately 1.725 cups of orange juice . He will  require 2 - 1.725 = 0.275 cups of orange juice to reach his estimates.

1/2 cup of orange juice

Answer:

EF = 6

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(4+2x) * 4 = (5+x) * 5

Distribute

16+8x = 25+5x

Subtract 5x

16+3x = 25

Subtract 16

3x = 25-16

3x = 9

Divide by 3

x = 9/3

x=3

We want EF

EF = 2x = 2*3 = 6

Answer:

The answer is C.

Step-by-step explanation:

You have to square both sides :

[tex] {x}^{2} = 27[/tex]

[tex]x = ± \sqrt{27} [/tex]

Then, you have to simplify it :

[tex]x = ± \sqrt{9 \times 3} [/tex]

[tex]x = ±( \sqrt{9} \times \sqrt{3} )[/tex]

[tex]x = ±( 3 \times \sqrt{3} )[/tex]

[tex]x = ±3 \sqrt{3} [/tex]

Answer:

Option C) x = ±[tex]3\sqrt{3}[/tex]

Step-by-step explanation:

=> [tex]x^2 = 27[/tex]

Taking sqrt on  both sides

=> x = ±[tex]\sqrt{27}[/tex]

=> x = ±[tex]\sqrt{3 * 3*3}[/tex]

=> x = ±[tex]3\sqrt{3}[/tex]

Answer:

Step-by-step explanation:

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 5000

For the alternative hypothesis,

H1: µ > 5000

Since the population standard deviation is given, z score would be determined from the normal distribution table. The formula is

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = population standard deviation

n = number of samples

From the information given,

µ = 5000

x = 5430

σ = 600

n = 40

z = (5430 - 5000)/(600/√40) = 4.53

Looking at the normal distribution table, the probability corresponding to the z score is < 0.0001

Since alpha, 0.05 > than the p value, then we would reject the null hypothesis. Therefore, at a 5% level of significance, it can be concluded that they walked more than the mean number of 5000 steps per day.

Since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.

Given that it was found that a random sample of 40 walkers took an average of 5430 steps per day, and the population standard deviation is 600 steps, to determine if at = 0.05 can it be concluded that they walked more than the mean number of 5000 steps per day the following calculation must be made:

Therefore, since the margin of error is 0.11, it can't be concluded that they walked more than the mean number of 5000 steps per day.

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Answer:

∠ A ≈ 16.67°

Step-by-step explanation:

Using the Sine rule in Δ ABC

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{c}{sinC}[/tex] , substitute values

[tex]\frac{8}{sinA}[/tex] = [tex]\frac{16}{sin35}[/tex] ( cross- multiply )

16 sinA = 8 sin35° ( divide both sides by 16 )

sin A = [tex]\frac{8sin35}{16}[/tex] , thus

∠ A = [tex]sin^{-1}[/tex] ( [tex]\frac{8sin35}{16}[/tex] ) ≈ 16.67° ( to 2 dec. places )

Answer:

£160.

Step-by-step explanation:

Mario receives 3 / (4+3+9) = 3/16 of the money.

So by proportion the total amount of money

=  96 * 16/3 = £512

So Rachel receives  4/16 = 1/4

= 512 / 4

= £128.

- and Sanjit receives 9/16

= 512 * 9/16

= £288

The difference is 288 - 128 = £160.

Answer:

Cornor should divide the total length of the road on which there is traffic by the length of each of the cars

Step-by-step explanation:

The best calculation he can use is to divide the total length of the road on which we have the traffic by the length of each of the cars

Mathematically, the best way to go about this is to convert the miles to feet then divide by the length of each of the cars

Mathematically 1 mile = 5280 feet

so 5.5 miles will be = 5280 * 5.5 = 29,040 feet

It is this length we shall now divide by 12.5 ft

And that is 29,040/12.5 = 2,323.2

Which is approximately 2,323 cars

Answer:

Obi's age is 18 and Oba's age is 9

Step-by-step explanation:

Let Obi's age be x and Oba's age be y

Condition 1:

x = 2y -----------(1)

Condition 2:

(x-4) = 3(y-4)

=> x -4 = 3y-12

=> x - 3y = -9  -----(2)

Putting eq (1) in (2)

2y - 3y = -9

=> -y = -9

=> y = 9

Now,

x = 2y

=> x = 2(9)

=>  x= 18

Answer:

[tex]8\\4[/tex]

Step-by-step explanation:

Obi's age is [tex]x[/tex].

Oba's age is [tex]2x[/tex].

4 years ago, Obi's age was [tex]x-4[/tex].

4 years after, Obi's age is [tex]2x-4[/tex]

3 times more than Oba's, so [tex]3(x-4)[/tex]

[tex]2x - 4 = 3( x - 4)[/tex]

[tex]2x - 4 = 3x-12[/tex]

[tex]2x - 3x = -12+4[/tex]

[tex]-1x=-8[/tex]

[tex]x=8[/tex]

[tex]x-4\\(8)-4=4[/tex]

[tex]answer \\ option \: a \\ 3 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Answer:

I am grade a man who is not in my life and I am 97 and the other is that 93inches is the urge for the pain of his life and I think that he is not a good person to be a

Answer:

2x=y

Step-by-step explanation:

Done

Answer:

X = 2

Step-by-step explanation:

Since two triangles ΔACD and ΔABE are similar triangles, their corresponding sides will be proportional.

Therefore, [tex]\frac{\text{AC}}{\text{AB}}=\frac{\text{AD}}{\text{AE}}[/tex]

By substituting the measures of the sides in the expression,

[tex]\frac{(x+10)}{10}=\frac{(15+3)}{15}[/tex]

15(x + 10) = 180

x + 10 = 12

x = 12 - 10

x = 2

Therefore, for the given similar triangles value of x = 2

Answer:

Actually the correct answer is the last option.

Step-by-step explanation:

I just took the quiz on edge

The function given in the option (4) has the steepest slope.

For option (1)

Let's calculate the slope for given values of x and y in option (1)

First, let's consider the points (3,10) and (6,13):

[tex]x_1=3, x_2 =6[/tex] and [tex]y_1 = 10, y_2=13[/tex]

[tex]x_2-x_1=6-3=3[/tex]

and [tex]y_2-y_1= 13-10 =3[/tex]

Now, the formula for slope is:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

So, for these points,

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

[tex]m=1[/tex]

Next, for points (6,13) and (9,16):

[tex]x_2-x_1=9-6=3[/tex]

and [tex]y_2-y_1=16-13 =3[/tex]

then, slope is:

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

[tex]m=1[/tex]

Similarly, for points (9,16) and (12,19):

Slope is 1.

Hence, for the data given in option (1), slope is 1.

Now for option(2);

From the given graph, we can see the co-ordinates are (1,0) and (0,-2)

[tex]x_1=1,y_1=0[/tex] and [tex]x_2=0, y_2=-2[/tex]

[tex]x_2-x_1= -1[/tex] and [tex]y_2-y_1=-2[/tex]

Thus, the slope is:

[tex]m = \dfrac{-2}{-1}[/tex]

[tex]m=2[/tex]

Now for option (3):

From the given graph, it is clear that the co-ordinates are (0.5,0) and (0,1)

[tex]x_1= 0.5, x_2=0[/tex] and [tex]y_1=0, y_2=1[/tex]

[tex]x_2-x_1=0.5[/tex] and [tex]y_2-y_1= 1[/tex]

Thus, the slope is

[tex]m = \dfrac{1}{0.5}[/tex]

[tex]m =2[/tex]

Now, for option (4):

First, let's consider the points (2, -4) and (4, -12)

[tex]x_1= 2, x_2= 4[/tex] and [tex]y_1= -4, y_2=-12[/tex]

[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1=- 8[/tex]

slope is:

[tex]m = \dfrac{-8}{2}[/tex]

m =-4

Now, for points  (4, -12) and (6, -20):

[tex]x_2-x_1= 2[/tex] and [tex]y_2-y_1= -8[/tex]

Then, the slope is:

[tex]m= \dfrac{-8}{2}[/tex]

m = -4

Similarly, for points (6, -20) and (8, -28):

Slope is -4.

That means for the data given in  option (4)  slope is -4.

Hence, the slope for the option (4) is steepest.

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Answer: C. 0.8 ft x 1 ft

Step-by-step explanation:

The scale factor of 1/5 means you multiply

the dimensions by 1/5

4 * 1/5 = 0.8

5 * 1/5 = 1

Answer:

C. 0.8 ft x 1 ft

Step-by-step explanation:

Answer:

Side a is 35/5=7 inches long

Side b is 30/5=6 inches long

Side c is 15/5=3 inches long