Mathematics College

Solve the system of equations 4x – 9y = 5 and 8x - y = -7 by combining the
equations.

Answers

Answer 1

Answer:

x=2 and y=0.

Step-by-step explanation:

Answer 2

Answer:

[tex]x=-1,\\y=-1[/tex]

Step-by-step explanation:

We can write the following system of equations as given:

[tex]\begin{cases}4x-9y=5\\8x-y=-7\\\end{cases}[/tex].

Multiply the first equation by [tex]-2[/tex] then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-8x+18y=-10\\8x-y=-7\\\end{cases},\\17y=-17,\\y=\fbox{$-1$}[/tex].

Now plug in [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]8x-(-1)=-7,\\8x+1=-7,\\8x=-8,\\x=\fbox{$-1$}[/tex].

Verify that the solution pair [tex](-1,-1)[/tex] works [tex]\checkmark[/tex]

Related Questions

There is a $30 fee to rent a tool from Jeff’s Tool Rentals plus $6 per day. If Hector rents a jackhammer for 5 days, what is his total bill?

Answers

Answer: 60$

Step-by-step explanation:

because you have the initial 30$ One time fee then you times 6$ by 5 days and 6x5= 30 then you add 30+30= 60

I believe the answer should be related to x

It's for middle SCHOOL PLZzzz HELPPP!!!
You have a coupon for an additional 25% off the price of any sale item at a store. The store has put a robotics kit on sale for 15% off the original price of $40. What is the price of the robotics kit after both discounts?

Answers

Answer:

$25.50

Step-by-step explanation:

Answer:

(40)(15/100)=6

(40)(25/100)=10

10+6=16

orginal price at 40

After discounts 16

40-16=24

so you can buy it in 24$

Hope it helped you

please help, thanks :)​

Answers

Answer:

It's C :)

Step-by-step explanation:

Next time check the y-intercept

Green has a intercept of 1

and purple has -3

And this one please​

Answers

I agree it’s A bc you look at the highest and lowest points going down and side ways


Can someone solve this please and thank you

Answers

The answer to the question is: 3

Answer:

Step-by-step explanation:

16

Will mark brainliest!! Please do the two in green using cos!!

Answers

Answer: 23.36 and 46.67

Step-by-step explanation:

Number 1:

[tex]cos(32) = \frac{x}{28}[/tex][tex]cos(32)(28) = x[/tex][tex]23.36 = x[/tex]

Number 2:

[tex]cos(57) = \frac{42}{x}[/tex][tex]cos(57)(x) = 42[/tex][tex]x= \frac{42}{cos(57)}[/tex][tex]x = 46.67[/tex]

Dimas is playing a game that uses a number cube. The sides of the cube are labeled from I to
number cube one time.
Dimas wants to roll a 2 or a 3. He rolls the
What is the probability that he will roll a 2 or a 3?
ОА .
OB
O D. 16

Answers

Answer:

0.333333 or 1/3

Step-by-step explanation:

I hope it is 1 to 6.

2 or 3 is the 2 numbers representing success

P(2 or 3) = 2/6 = 1/3

I don't understand the choices. Can you upload a picture of the question?

If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the problem and show all work. Provide a proper label with your answer.

Answers

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

Hope this helped :)

please help me asap!!!

Answers

Answer:

230

Step-by-step explanation:

Add the other angles for a total of 130 degrees there is a total of 360 degrees in the interior angle of a quadrilateral subtract 130 from 360.

Answer:

m< CDF = 58°

Step-by-step explanation:

Key skills needed: Congruent Triangles

1) We can use Triangle Congruence Rules to prove that Triangle EDF and Triangle CDF are congruent triangles.

2) Since both triangles have 1 right angle, they are both triangle triangles.

3) Both triangles share the same hypotenuse (DF)

Also, it gives us EF is 36, and FC is 36 --> This means that EF ≅ FC

Since both are Right Triangles, we can use Right Triangle HL Congruence to prove it

HL means Hypotenuse-Leg

This rule can only be applied to right angle triangles. In order to use this rule, a hypotenuse and a leg of the triangles need to proven congruent.

4) Since ΔEDF ≅  ΔCDF with Right triangle HL, we can say that < CDF is congruent to < EDF. These are corresponding parts of the triangle.

--> To say that < CDF is congruent to < EDF, we can use the theorem:

If Δs are ≅, then all corresponding parts are ≅.

5) Therefore, <CDF ≅ <EDF (which means the measures of the angles are the same value)

Since <EDF is 58°, <CDF would also be 58°

Hope you understood and have a nice day!! :D

A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?

Answers

Answer:

The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.

Step-by-step explanation:

To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:

X + 3X + 4X = 40

8X = 40

X = 40/8

X = 5

Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.

Please help me ASAP I’ll Mark Brainly

Answers

Answer:72

Step-by-step explanation:

Answer:

3(4 + 3 + 17)

Step-by-step explanation:

The greatest common factor of the three numbers is 3. The equation would then become 3(4 + 3 + 17)

I will give brainiest to whoever answers correctly !!

Answers

Answer: The interest is $6384

Consider the figure below.

part a- Determine sin(g)

part b- Determine tan(z)

part c- Determine cos(z)

part d- Determine sin(M)

Answers

Answer:

A) 77/427

B) 77/420

C) 420/427

Step-by-step explanation:

Sin= Opposite/Hypotenuse

Opposite always make a 90° with the Adjacent. adjacent and the Hypotenuse are across each other.

Cos= Adjacent/Hypotenuse

Tan= Opposite/Adjacent

Answer:

part a: 420/427

part b: 420/77

part c: 77/427

(4y' - 49 +8) - 092-y+3)

Answers

Answer:

3y-130

Step-by-step explanation:

hope this was helpful! c:

Answer:

3y-130 hope this helps

Step-by-step explanation:

at.the zoo there is a ratio of zebra to giraffes 5:2 there are 21 animals how many zebra and how many graffies​

Answers

Step-by-step explanation:

Given that the ratio of zebras are 5 and giraffes are 2

We add them giving is 7

So: giraffe=2/7 × 21 = 6

Zebra 5/7 × 21 = 15

You depost $572.34 into an account that pays 4.5% interest. How much interest do you earn after 5 years? (Use the formula I=rpt)


A. $128.78
B. $25.76
C. $12,877.65


I really need help!​

Answers

Hello!! I believe the correct answer is C!! If you do 572.34 x 4.5= 2,575.53 so then you multiply that by 5 which gets you 12,877.65!! ;))

Zeke had 9 dvds. His mother bought d more DVD. Write an expression that shows how many dvds zeke has now

Answers

Answer: 9+d=x or x=9+d

d-the new dvds

x-the unknown total

9-the dvds Zeke owned before

Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree is 14 feet tall, and its shadow is 21 feet long. Next, Lydia measures the shadow cast by the flagpole, and finds it is 30 feet long. What is the height of the flagpole?

Answers

draw a diagram.

the two are similar bc of AAsimilarity

so 8.8 is to 4 as 22 is to x

basically the answer is 10 ft tall

12- (-5) + (-4 ) calculate

Answers

13teen is the answer because -5 plus -4 equals-9 so when you subtract a positive which is 12 that’s what you get.

For a field trip 4 students rode in cars and
the rest filled nine buses. How many
students were in each bus if 472 students
were on the trip?

1a. What does the variable "x" represent?

1b. What equation represents this word problem?


1c. What is the solution to the word problem?


(Please help me with this quiz)

Answers

Step-by-step explanation:

We are solving for the number of students in each bus, so let x represent the number of students in each bus.

We have 4 + 9x = 472.

=> 9x = 468, x = 52.

Hence there are 52 students on each bus.

plz help due in 10 min

Answers

Answer:

the answer is A <_______________^______________

A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.

Answers

Answer:

????????????????????????????????????????

What loliloolollokllkabbsbsnanab

How to identify if the problem is a sample deviation problem or a population deviation problem?

Answers

Answer:

what?????????????????

Solve the inequality 37v < -18

Answers

The Answer: V< - 18/37

Answer:

I'm not sure

Step-by-step explanation:

sorry need point

An air traffic controller is tracking two planes. To start, Plane A is at an altitude of 4385 feet and Plane B is at an altitude of 5000 feet. Plane A is gaining altitude at 55.5 feet per second and Plane B is gaining altitude at 45.25 feet per second.


How many seconds will pass before the planes are at the same altitude?
seconds
What will their altitude be when they're at the same altitude?
feet

Answers

Answer:

Step-by-step explanation:

xhxj

Round 992 to the nearest ten

Answers

It will be 990 hope this helps

Answer:

990

Step-by-step explanation:

990

2 is lower than 5 so we round down. Instead of rounding up to 1, round down to 0

Q +2.02=9.2 q equals

Answers

Answer:

Q=7.18

Step-by-step explanation:

9.2-2.02=7.18

Answer:

7.18

Step-by-step explanation:

subtract 2.02 from 9.2

(p - 4)(4p - 2)

Anybody know this

Answers

4p^2-2p-24p+8
Answer=4p^2-26p+8
(p-4)(4p-2)

Now you multiply the second parenthesis by each term from the first parenthesis

p*(4p-2)-4(4p-2)

4p^2-2p-4(4p-2)

4p^2-2p-16p+8

4p^2-2p-16p+8

Collect the like terms

4p^2-18p+8, is your answer

3 3/5 x (-8 1/3) =

Please help and quick

Answers

Answer:

3 3/5 x (-8 1/3) = -30/1

= -30

Step-by-step explanation:

Answer:

The chosen topic is not meant for use with this type of problem. Try the examples below.

(

x

−

1

)

(

x

+

2

)

(

2

x

+

3

)

(

x

2

−

x

−

1

)

(

0

)

(

x

+

3

)

Step-by-step explanation:

At a birthday party, 8
pizzas are ordered. If 12
people share the pizzas,
how much of a pizza will
each person receive?

Answers

0.75 pizza

Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.

Answer:

0.666667

Step-by-step explanation:

8 pizzas ÷ 12 people = 0.66667 pizzas for each.

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