2x+4y=60 and y=x+3 i need a answer quick

Answers

Answer 1

It is asking for the intercept.

y = x + 3 becomes y - x = 3

multiply it by two, so it becomes -2x + 2y = 6. Then add it to the other equation, and solve for y.

2x + 4y = 60

(2x + 4y) + (-2x + 2y) = 60 +6

6y = 66

y = 11

Plug in the known y into the the easiest equation.

11 = x +3

x = 8

Intercept: (8, 11)


Related Questions

A bag contains colored tiles 6 tiles are green 3 tiles are blue 3 tiles are red a tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green? record your answ. Be sure to use the coreect place value correct place value.​

Answers

Answer:

6/12 = 0.5

Step-by-step explanation:

you add all the other tiles plus the green and then you do the green divided by that number

Solution:

Note that:

Probability that the tile will be green: Green tiles/Total tiles

Green tiles/Total tiles=> 6/6 + 3 + 3=> 6/12 = 1/2 = 50/100 = 0.5

The probability (In decimal) of obtaining a green tile is 0.5.

What decimal best represents 1/4

Answers

Answer:

.25

Step-by-step explanation:

.25 or 1/4 is one-fourth of 1

You can divide 1 by 4 to get .25

Please please help me please

Answers

Answer:

A

Step-by-step explanation:

It could just be it was dilated (I think thats the word) by 3. 6×3=18, 8×3=24

PLEASE HELP IMMEDIATELY IT WOULD MEAN THE WORLD
23 mm
14 mm

Answers

Answer:

14+19=33 33 divided by 23=?

Step-by-step explanation:

triangle with the given side is a right triangle;14mm, 19mm, 23mm ... Use the Pythagorean theorem that only works for right triangles.

hey so im also looking for the first answer and the choices were “ is not “ and “ is “

Answers

so the investigator found the skid marks were 75 feet long hmmm what speed will that be?

[tex]s=\sqrt{30fd}~~ \begin{cases} f=\stackrel{friction}{factor}\\ d=\stackrel{skid}{feet}\\[-0.5em] \hrulefill\\ f=\stackrel{dry~day}{0.7}\\ d=75 \end{cases}\implies s=\sqrt{30(0.7)(75)}\implies s\approx 39.69~\frac{m}{h}[/tex]

nope, the analysis shows that Charlie was going faster than 35 m/h.

now, assuming Charlie was indeed going at 35 m/h, then his skid marks would have been

[tex]s=\sqrt{30fd}~~ \begin{cases} f=\stackrel{friction}{factor}\\ d=\stackrel{skid}{feet}\\[-0.5em] \hrulefill\\ f=\stackrel{dry~day}{0.7}\\ s=35 \end{cases}\implies 35=\sqrt{30(0.7)d} \\\\\\ 35^2=30(0.7)d\implies \cfrac{35^2}{30(0.7)}=d\implies 58~ft\approx d[/tex]

A rectangular prism has a length of 3 meters, a height of 7 meters, and a width of 7 meters. What is its volume, in cubic meters?​

Answers

Volume = length • height • width
= 3•7•7 = 147 cubic meters

Colin is c years old. His 14 year old sister, Katie, is 4 years younger than Colin. write an expression

Answers

Answer: C - 4 = 14

Step-by-step explanation: In the expression, "c" is colin's age so, if you subtract 4 years for his age, you get Katie's age, which is 14.

The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 2-m beam can support 310 kg. How many kilograms can a 10-m beam support? a. 0. 0161 kg b. 62 kg c. 15. 5 kg d. 0. 0645 kg.

Answers

A beam of length 10m can support a weight of 62kg.

It is given that

Weight W ∝ 1/ Length L

W ∝ 1/L

W = k/L...........eq1

where k is constant of proportionality

What is the constant of proportionality?

The constant of proportionality is the ratio that relates two given values.

It is given that when L= 2m, W = 310kg

310 = k/2

k = 620

So put the k value in eq1,

eq1 becomes,

W = 620/L

when L = 10

W = 620/10

W =62kg

Therefore, a beam of length 10m can support a weight of 62kg.

To get more about the constant of proportionality visit:

https://brainly.com/question/26171814

Find the measurement of angle ( A ) round to the nearest hundred

Answers

Answer:

all you have to do is round to the nearest.

Step-by-step explanation:

just do it .

Shelley drew a scale drawing of the high school. She used the scale 5 millimeters: 3 meters.
If the actual width of the parking lot is 42 meters, how wide is the parking lot in the drawing?

Answers

Answer:

70 meters

Step-by-step explanation:

Based on the given conditions, formulate:: 45x5/3

Cross out the common factor: 14x5

Calculate the product or quotient: 70

The width of the parking lot in the drawing is, 70 milliliters.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

She used the scale 5 millimeters: 3 meters.

And, The actual width of the parking lot is 42 meters.

Hence, We can formulate;

The width of the parking lot in the drawing = 42 × 5 / 3

                                                                  = 70 milliliters

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ2

After spending $6.75 on a meal and $1.25 on drinks, Maria had $12 left.
What percent of her money did Maria spend?

Answers

Answer:

40%

Step-by-step explanation:

6.75 + 1.25 = 8 (Total she just spent)

8 (Total she just spent) + 12 (Total she had left) = 20 (Total she started with)

8/20 = 0.4 = 40%

(Total spent / total she started with = 40%)

Let x, y, and z represent three rational numbers, such that y is 512 times x and z is 50.25 more than x. If y=15.5, what is the value of z?

Answers

The value of z is equal to 50.28.

System of Linear Equations

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

Rational Numbers

These numbers are represented by a ratio between two integers numbers ([tex]\frac{a}{b}[/tex]), where b[tex]\neq[/tex]0.  Besides, this ratio can be simplified in decimal form.

For solving this equation, firstly, rewrite the information given:

                                          [tex]y=512x \;(1)\\ \\ z=50.25+x \;(2)\\ \\ y=15.5 \;(3)[/tex]

As the question gives the values for y, you can find x.

                                        [tex]y=512x\\ \\ 15.5=512x\\ \\ x=\frac{15.5}{512} =0.03[/tex]

Applying x=0.03 in the equation (3), you can find z.

                              [tex]z=50.25+x \\ \\ z=50.25+0.03\\ \\ z=50.28[/tex]

Learn more about the system of equations here:

https://brainly.com/question/384631

What is the value of x? (5 points)

Answers

30 + 2x = 90
2x = 60
x = 30

Answer:
x = 30

PLEASE HELP ANSWER THESE FAST, will give brainliest and 100 points

Answers

Step-by-step explanation:

11.

x is sin(60) in a circle with radius of 8.

x = sin(60)×8 = 6.92820323... ≈ 6.9

12.

x is sin(30) in a circle with radius "diagonal length".

6 is cos(30) in the same circle.

6 = cos(30)×r

r = 6/cos(30) = 6.92820323...

x = sin(30)×r = 3.464101615... ≈ 3.5

13.

similar to 12.

but we refer to the angle at the bottom right vertex.

remember, the sum of all angles in a triangle is always 180°.

so, the angle over there at the right is

180 - 90 - 68 = 22°

x = sin(22)×r

25 = cos(22)×r

r = 25/cos(22) = 26.96336857...

x = sin(22)×r = 10.10065565... ≈ 10.1

14.

9 is the sine of the complementary angle of 49 in a circle with radius x.

the complementary angle is the angle that adds up with the original angle to 90° and is therefore

90 - 49 = 41°

9 = sin(41)×x

x = 9/sin(41) = 13.71827778... ≈ 13.7

18.

we use the extended Pythagoras :

c² = a² + b² - 2ab×cos(C)

with c being the side opposite of the angle C.

so we have

LK² = 16² + 24² - 2×16×24×cos(29) =

= 256 + 576 - 768×cos(29) =

= 832 - 671.7079351... = 160.2920649...

LK = 12.66065026... ≈ 12.7

19.

law of sine

a/sin(A) = b/sin(B) = c/sin(C)

with the sides being always opposite to the corresponding angles.

to find the angle at H we need to find the angle at G first, because we don't know GF yet.

so,

28/sin(76) = 18/sin(G)

sin(G) = 18×sin(76)/28 = 0.623761538...

G = 38.59134528...°

remember the 180° rule in triangles.

H = 180 - 76 - G = 65.40865472...° ≈ 65.4°

20.

GF is now calculated using the law of sine again.

28/sin(76) = GF/sin(H)

GF = 28×sin(H)/sin(76) = 26.23980579... ≈ 26.2

1. If two angles of a triangle are equal and the third angle measures 110°, then find the measure of each angle ​

Answers

Answer:

35

Step-by-step explanation:

There are 3 angles in a triangle

∠1 , ∠2 , ∠3

Of which

∠1 = ∠2

∠3 = 110

By angle sum property

∠1 + ∠2 + ∠3 = 180

∠1 + ∠2 = 180-110

∠1 + ∠2 = 70

∠1 = 70 ÷ 2

=35

∠1 = ∠2 = 35

Hence , 35+35+110 = 180

Answer:

35°, 35°, 110°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

let the equal angles be x , then

x + x + 110 = 180 , that is

2x + 110 = 180 ( subtract 110 from both sides )

2x = 70 ( divide both sides by 2 )

x = 35

the measure of each angle is 35° , 35° , 110°

PLEASE HELP ME ITS URGENT!!!!


A rectangular garden has a walkway around it. The area of the garden is 4(5.5x + 1.5). The combined
area of the garden and the walkway is 4.5(8x + 4). Find the area of the walkway around the garden as
the sum of two terms.
CD
The area of the walkway around the garden is 1
(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answers

Solving the Question

We're given:

Area (garden) = 4(5.5x + 1.5)Area (garden + walkway) = 4.5(8x + 4)

To find the area of the garden alone, we can subtract the area of the garden from the combined area of the garden and walkway:

[tex]4.5(8x + 4)-4(5.5x + 1.5)[/tex]

Open up the parentheses:

[tex]= 36x +18 -22x - 6[/tex]

Combine like terms:

[tex]= 36x +18 -22x - 6\\= 14x +18 - 6\\= 14x +12[/tex]

Answer

The area of the walkway around the garden is 14x + 12.

Determine is (x-3) is a factor of
x^3 - 5x^2 - 4x + 6 using the remainder
theorem:

Answers

Answer:

(x - 3) is not a factor

Step-by-step explanation:

If (x - h) is a factor of f(x) then f(h) = 0

here

f(x) = x³ - 5x² - 4x + 6 , then

f(3) = 3³ - 5(3)² - 4(3) + 6 = 27 - 5(9) - 12 + 6 = 27 - 45 - 6 = - 24

since f(x) ≠ 0 then (x - 3) is not a factor of f(x)

Which number line shows the solution of –5x + 10 > –15?

Answers

Answer:

B.

Step-by-step explanation:

-5x + 10 > -15

-5x + 10 - 10 > -15 - 10

-5x > -25

-5x / -5 > -25/(-5)

x < 5

Find the midpoint of the line segment with end coordinates of:
(

3
,

1
)
and
(
4
,

5
)

Give coordinates as decimals where appropriate.

Answers

Answer:

(0.5, -3)

Step-by-step explanation:

(-3, -1) (4, -5)

midpoint formula

(x1 + x2) /2, (y1 + y2) /2

-3 + 4 = 1 / 2 = 0.5

-1 + -5 = -6 / 2 = -3

Ratio volume of 2 cylinders is 125:343

Answers

Answer:

5145cm²

125/343=1875/x

x=1875×343÷125=5145

PLEASE HELP FAST URGENT!!!

Answers

Answer:

A= Origen C= q1 B=Q2

Step-by-step explanation

your left-hand side is quadrant TWO Your top right-hand corner is Quadrant ONE and your second to the last one is left-hand side down Is Quadrant THREE last but not least is Quadrant FOUR. And the zero in the middle means ORIGEN.

Ms. Yang left work at 5:15 p.m. She
went to the gym for 90 minutes,
and then it took her 40 minutes to
drive home. What time did Ms. Yang
get home?

HELP ME PLEASE ( 5th grade math )

Answers

Ms. Yang got home at 7:25pm

Answer:

7:25

Step-by-step explanation:

Overall it took her 130 minutes while she was out so if you put that in time measurement it would be 7:25.

Also 5 3/7 x 3 1/2 Thanks

Answers

Answer: 19

5 3/7 to an improper fraction is = 38/7
3 1/2 to an improper fraction is = 7/2

38x7 = 266
7x2 = 14

266/14 = 19

100!!! Points
Select the correct answer.
What is the range of the function shown in the graph?

Answers

See the line is parallel to x axis.The equation of that top is y<5

So

The range is

(-oo,0)U(oo,5)

So

-oo<y<5

Option D is correct

look at the attachment
Simplified it too
pls take it seriously ​

Answers

[tex]\\ \rm\rightarrowtail \dfrac{sin(180+A)+2cos(180+A).cos(A-180)}{2cos^2(360+A)-cos(-A)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{-sinA+2(cos^2A-sin^2A)}{2cos^2A-cosA}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{-sinA+2cos^2A-2sin^2A}{cosA(2cosA-1)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{-sinA+2-2sin^2A-2sin^2A}{cosA(2cosA-1)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{-sinA-4sin^2A}{cosA(2cosA-1)}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{-sinA(4sinA-1)}{cosA(2cosA-1)}[/tex]

[tex]\\ \rm\rightarrowtail -tanA\left(\dfrac{4sinA-1}{2cosA-1}\right)[/tex]


A lil help would be nice

(Explained answer will get brainlyist)

Answers

Answer:

10 cm

Step-by-step explanation:

Out of that [tex]160 cm^2[/tex], part of it is given by the surface of the top and bottom faces, which have area [tex]2\times 5 cm^2 = 10 cm^2[/tex] each, for a total of [tex]20 cm^2[/tex] . We are then left with [tex]140 cm^2[/tex] of surface from the side area. That area you can imagine as a rectangle of height h (which we need to know) and base [tex]5+2+5+2 cm = 14 cm[/tex] (imagine it as a box opened on a flat surface)

At this point we have [tex]140cm^2 = 14 cm \times h \rightarrow h= 10 cm[/tex]

i need help asap pls

Answers

Step-by-step explanation:

[tex]m + 148 = 3m + 10[/tex]

[tex]148 - 10 = 3m - m[/tex]

therefore

3m = 138

m = 138/3

m = 46°

pls give brainliest

A model of a skyscraper is made using a scale of 1 inch: 75 feet. What is the height of the actual building if the height of the model is 19 2/5 inches?

Answers

4. If 8 ft = 1 in
Then 60 ft = 60 x 1/8 = 7.5 in
Length of model = 7.5 in
Scale factor = 1/8

5. If 4 m = 1 cm
Then 192 m = 192/4 x 1 = 48 cm
Length of model = 48 cm
Scale factor = 1/4

6. If 1.5 ft = 2 in
Then 13.5 ft = 13.5 x2/1.5 = 18 in
Length of model = 18 in
Scale factor = 2/1.5 =1.333

Skyscraper

Scale = 1 in : 75 ft
Height of model= 19 2/5in=19.4in

Height of actual building
19.4 x 75 = 1455 ft

The function f(x)= -45x + 270 represents the total distance, in miles, a traveler is from home x hours after beginning the trip home. What is the average rate of change over the interval from x = 1 to x = 3, in miles per hour?

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Given :-

We have given one function f(x) = -45x + 270 The given function represents the total distance in miles. The initial interval was x = 1 and final interval was x = 3

To Find :-

We have to find the rate of change over the given interval

Let's Begin :-

Here, We have

Function = f(x) = -45x + 270

The given function represents the total distance in miles covered by the traveller.

Therefore,

For initial interval that is x = 1 , Distance covered by the traveller

[tex]\sf{ f(x) = -45x + 270 }[/tex]

[tex]\sf{ f(1) = - 45(1) + 270 }[/tex]

[tex]\sf{ f(1) = - 45 + 270 }[/tex]

[tex]\sf{ f(1) = 225 }[/tex]

For final interval that is x = 3, Distance covered by the traveller

[tex]\sf{ f(x) = - 45x + 270 }[/tex]

[tex]\sf{ f(1) = - 45(3) + 270 }[/tex]

[tex]\sf{ f(1) = - 135 + 270 }[/tex]

Now,

We have to find the average rate of change over the given time interval

Therefore,

Average rate of change in the given time interval

[tex]\sf{ = }{\sf{\dfrac{ f(1) + f(3) }{3 - 1}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 225 + ( -135) }{ 2}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 225 - 135 }{ 2}}}[/tex]

[tex]\sf{ = }{\sf{\dfrac{ 90 }{ 2}}}[/tex]

[tex]\sf{ = 45 }[/tex]

Hence, The average rate of change over the given interval is 45 miles per hour.

A triangle has two sides of length 17 and 2. What is the smallest possible whole-number length for the third side?

Answers

Answer: 16

Step-by-step explanation:

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