Which graph shows the system of equations 4x+y=3 and 2x-3y=3?

Answer:

Correct

Step-by-step explanation:

Answer:

[tex]a=-\frac{2}{3}[/tex]

Step-by-step explanation:

We are given the lines, [tex]y=3x+8[/tex] and [tex]2y=ax-5[/tex]. For the latter equation, we can isolate the variable y to have the same format as the first. We want to create a y=mx+b equation where m represents the slope of the line. We now have the equations:

[tex]y=3x+8[/tex] and

[tex]y=\frac{a}{2}x-2.5[/tex]

The definition of perpendicular lines is that their slopes must be the negative reciprocal of each other. Thus:

[tex]-\frac{1}{3}=\frac{a}{2} \\\\a=-\frac{2}{3}[/tex]

I hope this helps! Let me know if you have any questions :)

9514 1404 393

Answer:

Step-by-step explanation:

For the GCF to be 6, terms of the polynomial must be multiples of 6, but must have no other common factors. A simple polynomial that meets this requirements is ...

  6a +12b

One equivalent form can be had by factoring 6 from the terms:

  6(a +2b)

Since 6 has a factorization of its own, another equivalent form can be had by factoring out one of the factors of 6. The ones of interest are 2 and 3, so we can write ...

  2(3a +6b)

or ...

  3(2a +4b)

Answer:

Step-by-step explanation:

hope it helps

Answer:

a

Step-by-step explanation:

because they spent the least of money on flowers

Answer:

They spent more on signs than flower boxes is the correct answer.

Answer: Sum is  51360

Step-by-step explanation: I have heard same legend and it is also told in hih school math books.

There are 160 pairs numbers which sum is 321, also (320 +1) + (319+2) + ... + (160 + 161).    So sum is  160·321

Answer:

go back in the lesson and relearn this is 6th grade work

Answer:

Kevin eats 1 pie for every 33 seconds that pass

Step-by-step explanation:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

If we were wondering how many seconds Kevin takes to eat a pie then the equation would look like:

132 seconds / 4 pies = 33 seconds per pie

33 seconds / 1 pie

However, if we were looking for how many pies Kevin eats in a second, then the equation would look like:

4 pies / 132 = .0303 or 3.03% of a pie per second

.0303 pies / 1 second

Answer:

The number of plans that cost between $52.38 and $96.7 is 913.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of $74.54, standard deviation of $11.08

Percentage of plans that cost between $52.38 and $96.7.

52.38 = 74.54 - 2*11.08

96.7 = 74.54 + 2*11.08

Within 2 standard deviations of the mean, so by the Empirical Rule, 95%.

The number of plans that cost between $52.38 and $96.7 is .

95% of 961. So

0.95*961 = 913

The number of plans that cost between $52.38 and $96.7 is 913.

Answer:

it must be G..

I'm not sure..

Answer:

10

Step-by-step explanation:

( 1 / 20 ) x ( 1 / 8 ) x 1600

= ( 1 / 20 x 8 ) x 1600

= ( 1 / 160 ) x 1600

= 1600 / 160

Answer:10

Step-by-step explanation:

1/20 x 1/8 x 1600 = 10

= 10

Step-by-step explanation:

πr²= Area of a circle

In this case:

π16²

So therefore, the answer is A

Hope this helped!

Answer:

y = 2

Step-by-step explanation:

varies inversely

xy = k

y = 7 when x = 2/3

(2/3)7 = k

14/3 = k

k = 14/3

--------------------

find y when x = 7/3

(7/3)y = 14/3

multiply both sides by 3/7

y = 14/3 * 3/7

y = 2

Answer: y = 2

Step-by-step explanation: When we have two sets of inversely related coordinates, x₁ and y₁, and x₂ and y₂, we can use the product rule, shown below, to find the missing value.

Since we know that y = 7 when x = 2/3, one set of coordinates will be 7 and 2/3 and since we want to find the value of y when x = 7/3, our other coordinates will be 7/3 and y.

(2/3)(7) = (7/3)(y)

So we have 14/3 = 7/3y and solving for y from here, we find that y = 2.

Answer:

the sum of all three angles is 180° in every plane triangle.

knowing that we know that the upper right angle is 180-99-37 = 44

do it follows:

-x-5 = 44

and

-x = 49

and there

x is -49

please please please brainliest (if you like the answer)

Answer:

409

Step-by-step explanation:

You add 234 with 175.

Answer:

7.

Solution given;

male=15

female=27

1st term=5*3

2nd term=3*3*3

now

Highest common factor=3

So

The maximum number of groups that the teacher can make is 3.

and each team contains 5 male and 9 female.

Answer: 50,380m

Step-by-step explanation:

190m * 270m = 51,300m

23m * 40m = 920m

Because the barn is in the field, we subtract the barn's area from the field's area, which leaves us with

51,300m - 920m = 50,380m

Answer:

$19,565.22

Step-by-step explanation:

15% of 22,500 = 3375 as we multiply by 0.15

but, 15% of an initial is still whole 1 + 0.15  = 1.15 but when using sale prices to find initial we DIVIDE

= 22500 / 1.15 = 19565.2174

and round up by 2dp currency.

= $19565.22

The way to remember is the opposite finds the original

Answer:

104°

Step-by-step explanation:

[tex]\frac{sin~B}{18} =\frac{sin~29}{9} \\sin~B=\frac{18}{9} \times sin~29\\sin~B=2~sin~29\\B=sin^{-1}(2 ~sin~29)\\=104^\circ[/tex]

Answer:

<2 = 75

<1 =105

Step-by-step explanation:

<2 and 75 are corresponding angles and corresponding angles are equal when lines are parallel

<2 = 75

<1 and <2 are supplementary angles

<1+<2 = 180

<1 +75 = 180

<1 = 180-75

<1 =105

Answer:

Angle 1: 105 Angle 2: 75

Step-by-step explanation:

The two parallel horizontal lines shown are going through the same line, so the angles will be the same. That means we already know that angle 2 is 75 degrees, and with that information, we can figure out the measure of angle 1. A 180-degree angle is a straight line, and 180 - 75 is equal to 105, which is the measure of angle 1!

I hope this helped you!

Answer:

m = 4a - 60, option b

Step-by-step explanation:

Number of cars sold in May:

This was m.

60 less than four times the number of cars sold in April a

Four times the number of cars sold in April was 4a.

m was 60 less than 4a, that is, m is given by 4a subtracted by 60. So

m = 4a - 60, and the correct answer is given by option b.

Answer:

A

Step-by-step explanation:

I think it's A because that how many miles shes walking not hours not secound or minutes miles. Sry if i'm wrong.

Answer:

Step-by-step explanation:

B

Answer:

obtuse angle

Step-by-step explanation:

Answer:

[tex]m = \frac{4}{7}\\[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The constant rate of change (m)

This is calculated as:

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

From the graph, we have:

[tex](x_1,y_1) = (3,4)[/tex]

[tex](x_2,y_2) = (10,8)[/tex]

So, the formula becomes:

[tex]m = \frac{8-4}{10 - 3}[/tex]

[tex]m = \frac{4}{7}\\[/tex]

Answer:

13) 25 and 17

14) cupcakes = $5

brownies = $3

Step-by-step explanation:

13)  you can set this up as equations

so x + y = 42

x-y = 8

solve simultaneously by subtracting from each other

2y = 34

y= 17

if y = 17

42 - 17 = 25 = x

14) set up as equations again

Ben    7c + 10b = 65

franklin   7c +7b = 56

subtract from eachother

3b = 9

b = $3

7c + 10(3) = 65

7c = 35

c = $5

Answer:

First question = 2&8

Second question = Cupcakes 6.5 Brownies 8

Step-by-step explanation: