what is the solution to this system of equations?

5x-y=40
y=2x-4

A) 20, 12
B) -20, 12
C) 12, -20
D) 12, 20

Answers

Answer 1
We know what y is given the second equation, so let’s plug it in

5x - (2x - 4) = 40

Solve for x

5x - 2x + 4 = 40

3x = 36

x = 12

Plug in x for either equation

y = 2(12) - 4

y = 24 - 4

y = 20

X = 12 and Y = 20, so D
Answer 2
Answer is D

{ solve simultaneously }
rearrange equation to make y the subject
5x-y=40
y=5x-40

Sub y=5x-40 into the second equation given ( y=2x-4 )

5x-40 = 2x-4

Solve normally to find x
x = 12

Sub x=12 into y=5x-40
Solve normally to find y
y = 20

Therefore, answer is D) 12, 20

Related Questions

can someone help me plsss

Answers

Answer:

c=23/24

Step-by-step explanation:

 c+3/8=1/1/3

 c+3/8=4/3

c+9/24=32/24

        c=32/24-9/24

         =23/24

Solve the literal equation for x.

k= nx - 3x

Answers

answer:X=k/n-3

explain:move all terms to the left side and set equal to zero. then set each factor equ to zero!

I hope this helps

k=x(n-3)
k/(n-3)=x
there ya gooooo

HELPP HURRYYYY !!
have to be turned in soon

Answers

Answer:

Last option: Angles 5 and 9

Step-by-step explanation:

Angles 3 and 5 are NOT corresponding angles; instead they are alternate angles.

Angles 1 and 7 are NOT corresponding angles; instead they are vertically opposite angles.

Angles 11 and 14 are NOT corresponding angles; instead they are adjacent angles on a straight line.

Angles 5 and 9 are corresponding angles.

Calculate how many guesses in binary search algorithm.

Answers

Answer:

In the case of a decimal number, we round down to find the actual number of guesses. Therefore, for a 1000-element array, binary search would require at most 10 guesses. (which is 2,097,152), so we would need at most 22 guesses.

Step-by-step explanation:

Monica deposits ​$300 into a savings account that pays a simple interest rate of ​3.9%. Paul deposits ​400$ into a savings account that pays a simple interest rate of ​3.2%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she​ correct? Justify your response.

Answers

Answer:

For Monica : Principle = $300 rate : 3.4% time 1 yr

Simple interest = Prt/100 = 300*3.4*1/100 = 1020/100= $ 10.2

For Paul : Principle = $400 rate : 2.8% time 1 yr

Simple interest = Prt/100 = 400*2.8*1/100 = 1120/100= $ 11.2

Step-by-step explanation:

If DEF=GJH, find each missing measure

a) DF =

d) F =

b) JH =

|||

e) m&G =

c) GJ =

f) m =

I need help it’s due in 20 minutes:(

Answers

Congruent triangles have equal corresponding sides and angles.

The measure of the side lengths are: [tex]\mathbf{DF = 16m}[/tex], [tex]\mathbf{JH = 14m}[/tex] and [tex]\mathbf{GJ = 19m}[/tex]The measure of the angles are: [tex]\mathbf{\angle G = 34^o}[/tex], [tex]\mathbf{\angle J = 41^o}[/tex] and [tex]\mathbf{\angle F = 105^o}[/tex]

The given parameters are:

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex]

[tex]\mathbf{EF = 14m}[/tex]

[tex]\mathbf{D E = 19m}[/tex]

[tex]\mathbf{GH = 16m}[/tex]

[tex]\mathbf{\angle D = 34^o}[/tex]

[tex]\mathbf{\angle H = 105^o}[/tex]

[tex]\mathbf{\triangle D EF \cong \triangle GJH}[/tex] means that triangles DEF and GHJ are congruent triangles.

So, we have:

[tex]\mathbf{DF = GH}[/tex]

This gives

[tex]\mathbf{DF = 16m}[/tex]

Also, we have:

[tex]\mathbf{JH = EF}[/tex]

This gives

[tex]\mathbf{JH = 14m}[/tex]

Also, we have:

[tex]\mathbf{GJ = DE}[/tex]

This gives

[tex]\mathbf{GJ = 19m}[/tex]

The following angles are also congruent

[tex]\mathbf{\angle F = \angle H}[/tex]

This gives

[tex]\mathbf{\angle F = 105^o}[/tex]

Also, we have:

[tex]\mathbf{\angle G = \angle D}[/tex]

This gives

[tex]\mathbf{\angle G = 34^o}[/tex]

The measure of angle J is then calculated using

[tex]\mathbf{\angle J + \angle H + \angle G = 180^o}[/tex]

This gives

[tex]\mathbf{\angle J + 105 + 34= 180^o}[/tex]

[tex]\mathbf{\angle J + 139= 180^o}[/tex]

Subtract 139 from both sides

[tex]\mathbf{\angle J = 41^o}[/tex]

Read more about congruent triangles at:

https://brainly.com/question/4364353

please help will mark as brainlist

Answers

Answer:

176

Step-by-step explanation:

Answer:

[tex]m[/tex]∠STV = 43°

Step-by-step explanation:

It has the corresponding relation with ∠UTV

A student is running a 10-kilometer race. He runs 1 kilometer every 4 minutes. Select the function that describes his distance from the finish line after x minutes.
f(x) = 1 over 4x + 4
f(x) = − 1 over 10x + 4
f(x) = 1 over 10x + 10
f(x) = − 1 over 4x + 10
-------------------------------------------
I thought it was c but I was wrong. Could anybody help?

Answers

Answer:

I think it might be d because it is the only one with 4x and 10

Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path?

Answers

Answer:

The next day they will both run on the path is July 27th.

We can find this by making columns writing every date and seeing when they intersect.

4                    5

8                   10

12                  15

16                 20

20

We can then add this to the current date to find the date they will next run together.

Step-by-step explanation:

hope this helps. . . <3

good luck!      UwU

what is the value of H in the diagram below?

Answers

Answer:

the value of h in the diagram is I hope hight

Find the missing side.
09
9.5
10
C
7 cm
10.6
8 cm
HELP PLEASE

Answers

Answer:a

Step-by-step explanation:

i know

Round 2,861 to the nearest hundred

Answers

2,900

hope this helps

Hey there!

2,891

= 200,000 + 800 + 90 + 01

= two-hundred thousand, eight hundred ninety one

Thousand:

2,000

Hundred:

900

Tens:

90

Ones:

1

Based on that information we can answer your question

SIMPLIFY IT

ANSWER: 2,900

[2,000 + 900 + 0 + 0]

[two thousand + nine hundred]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

5^-15 rewritten using a positive exponent.

Answers

Answer: 1/5 to the power of 15

Please I help I'll brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

c^2 = a^2 + b^2

a = 4

b = ?

c = 8

8^2 = 4^2 + b^2

64 = 16 + b^2

48 = b^2

b = sqrt(48)

b = 4√3

Find the slope of the line y=5x+4
=
5
x
+
4

Answers

Answer:

5 is the slope of the line

Answer:

slope = 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 5x + 4 ← is in slope- intercept form

with slope m = 5

f – 4 ≤ 9 for f. solve for the

Answers

Answer:

f>36

Step-by-step explanation:

9

<

f

4

Multiply both sides by

4

.

9

4

<

f

4

4

Simplify.

Tap for more steps...

36

<

f

Rewrite so

f

is on the left side of the inequality.

f

>

36

The result can be shown in multiple forms.

Inequality Form:

f

>

36

Interval Notation:

(

36

,

)

Answer:

f={∞,13)

Step-by-step explanation:

f - 4 ≤ 9

f - 4-9  ≤ 0

f-13 ≤0

f=13

13- 4 ≤ 9

9 ≤ 9  

(f>13) f-4 ≤9

   Find a number less than 13

f=12

12-4 ≤9

8≤9 √  

(f<13) f-4 ≤9

   Find a number greater than 13

14

14-4 ≤9

10 ≤9 ×

opposite reciprocal of 1/3

Answers

Answer:

-1/3

Step-by-step explanation:

hope this helps

How to turn improper fractions into mixed numbers.

Answers

Answer:

To convert an improper fraction to a mixed fraction, divide the numerator by the denominator, write down the quotient as the whole number and the remainder as the numerator on top of the same denominator. Let us see an example of this conversion

Step-by-step explanation:

Convert 23/4 into a mixed fraction

Emma but two identical bottles of shampoo. She uses 3/8 of one of them at home, and uses 7/10 of all of the remaining while she’s on Hollidays. In total, how much shampoo remains?

Answers

Answer:

37/40

Step-by-step explanation:

                                      3/8                              7/10

      80/40                   -       15/40              -          28/40                   =  37/40

two whole shampoo  -      uses at home    -      uses on holiday     =  left

Brent leaves school to go home. He walks 10 blocks north and then 6 blocks west. If Brent could walk in a straight line to the school, what is the exact distance between Brent and the school?

Answers

8 BLOCKS :)))

:)))) NO NEED SOLUTION.

A garden is in the shape of a square of length 353
m. Find it's (i)perimeter
and (ii) area.

Answers

Answer:

Step-by-step explanation:

Perimeter = P = 4a where a is each side of square

P = 4(353) = 1412

Area = a^2 where a is each side

A = (353)^2 = 124,609

PLEASE HELP ME FOR 25 POINTS NO LINKS!

Answers

Answer:

The answer is C. Yes, Abc= Adc

Answer:

Yes, ABC is congruent to CDA by SSS

Your answer is correct; and here's why:

side AB corresponds to side CD.

and side BC corresponds to DA

So ABC = CDA.. and of course they also share AC which makes it congruent by side side side congruency.

Step-by-step explanation:

In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4
of
the drink iS apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple
juice to orange juice in its simplest form.

Answers

Answer:

7/20 cranberry

Step-by-step explanation:

Answer:

7/20 is the answer

Step-by-step explanation:

math!!

WHAT IS THE AREA OF THE CURVED SURFACE OF A CYLINDER OF BASE RADIUS 4 CM AND HEIGHT 10 CM

Answers

Answer:

The curved surface area of cylinder is 251.42 cm².

Step-by-step explanation:

Here's the required formula to find the curved surface area of cylinder :

[tex]\star\underline{\boxed{\sf{CSA_{(Cylinder)}} = 2\pi rh}}[/tex]

Csa = Curved surface areaπ = 22/7r = radius h = height

Substituting all the given values in the formula to find the curved surface area of cylinder :

[tex]\implies{\tt{CSA_{(Cylinder)}= 2\pi rh}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 4 \times 10}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = 2 \times \dfrac{22}{7} \times 40}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{2 \times 22 \times 40}{7}}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} = \dfrac{44 \times 40}{7}}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)}= \dfrac{1760}{7}}}}[/tex]

[tex]{\implies{\tt{CSA_{(Cylinder)} \approx 251.42 }}}[/tex]

[tex]{\star{\underline{\boxed{\tt{\red{CSA_{(Cylinder)} \approx 251.42 \: {cm}^{2}}}}}}}[/tex]

Hence, the curved surface area of cylinder is 251.42 cm².

[tex]\rule{300}{2.5}[/tex]

A researcher is interested in understanding whether the number of people in a room affects how much a person eats. During the experiment, the researcher varies the number of people in the room and records how much each participant eats. This is an example of:

Answers

Answer:

quantitative manipulation of the independent variable

Please help (picture is linked)

Answers

Answer:

[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]

y-intercept: (0, 32), b = 32

[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

Step-by-step explanation:

Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.

Slope

Use these points to solve for the slope of their line.

Let (x₁, y₁) = (0, 32)

    (x₂, y₂) = (100, 212)

Substitute these points into the following formula for the slope:

[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]

[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]

[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]

Therefore, the slope of the line is  [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].

Y-intercept:

Next, the given problem asks for the value of the y-intercept.  The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.

To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:

y = mx + b

[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]

212 = 180 + b

Subtract 180 from both sides to isolate b:

212 - 180 = 180 - 180 + b

32 = b

The y-intercept is (0, 32), where b = 32.

Slope-intercept form:

Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex],  and the y-intercept, b = 32:

The linear equation in slope-intercept form is:  [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]

solve the equation.

[tex]\sqrt{x(x+2)} = 0[/tex]

Answers

[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]

ok done. Thank to me :>


Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of minutes she ran and the
distance she covered proportional?

Answers

Answer:

Yes

Step-by-step explanation:

Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of miles she ran and the distance she covered proportional -  Yes, this is proportional.

Is this a function? Easy points

Answers

Wanna learn how to make Mac and cheese
For thanks giving

Boil the pasta, drain.
Make the cheese sauce by combining a fat (butter), and starch (flour), then whisking in the milk products.
Cook the sauce until it’s nice and thick.
Add in shredded cheeses, stir well.
Combine cheese sauce with cooked pasta.
Transfer half of the mac and cheese to a baking dish, sprinkle with more shredded cheese.
Top with the rest of the mac and cheese, top with more shredded cheese.
Bake and prepare to thoroughly enjoy

(4)/(12)= ()/(3) what makes this equivalent

Answers

Answer:

1/3

Step-by-step explanation:

4/12 divide by 4 to the top and bottom you get 1/3

[tex]\dfrac 4{12} = \dfrac{ 4 \times \tfrac 14 }{12 \times \tfrac 14} = \dfrac 13\\\\\\\\\text{Hence the answer is 1}[/tex]

Other Questions
Find the slope of line 2, which is parallel to line 1. Line i goes through the points(-13, -6), (7, 15). The ________ hypothesis is the ideology common in the United States that people get the outcomes they deserve. Group of answer choices what does cpctc stand for and when would you use it Factorise. 5a - 10a Between 1840 and 1860, railroad construction shifted from the eastern half of the United States to west of the ______ Mountains. outline the ways that others can be supported to understand a healthy diet for individuality What was a negative result of increased trade and interactions of cultures during the Middle Ages? a.. It started the end of the feudal system b.. It led to the spread of the Black Death which greatly reduced the population of Europe and Asia c. It led to the increase of new inventions and scientic discoveries d. It caused the Great Schism in the Roman Catholic Church What type of angle is 90 degrees please helpppppppppoppo An "energy bar" contains 26 ggof carbohydrates.How much energy is this in joules? The Forensic Anthropology Facility was founded by whom? Can someone please explain this to me please? Will give brainly if you actually answer the question 100 points if u get this right ty have a nice day ! Trust Officer Megan is the trust officer for an estate. If sheinvests $15,000 into an account that carries an interest rateof 8% compounded monthly, how long will it be until theaccount has a value of $45,000 for Megan's client?a f(x)=3x+5 and g(x)=2x+1value of x Make m the subject of the formula L = m + n an expression of Avogradros law Inertia causes bodies to slow in their motion, unless theyre pushed by a force.Inertia resists changes to the state of motion of a body.Inertia decelerates a body. Inertia is due to friction. y=-2x + 7y = 5 7Find the solution 2. If Joe rides his bicycle in a straight line for 15 min with an average velocity of 12.5 km/h south, how far has he ridden?