Answers
Answer:
x = 7 and y = -8 ordered pair is (7, -8)
Step-by-step explanation:
0.1x + 0.3y = - 1.7
0.3x - 0.5y = 6.1
Solving the first equation for x 0.1x = -0.3y - 1.7
0.1x/0.1 = -0.3y/0.1 - 1.7/0.1
x = -3y - 17
Substitute into the second equation.
0.3(-3y - 17) - 0.5y = 6.1
-0.9y - 5.1 - 0.5y = 6.1
-1.4y - 5.1 = 6.1
-1.4y = 5.1 + 6.1
-1.4y = 11.2
y = 11.2/-1.4
y = -8
Substitute y into the first equation and solve for x
x = -3y - 17
x = -3(-8) - 17
x = 24 - 17
x = 7
Related Questions
What is the slope of the line that contains the points (5,-1) and (3,-5)? The solution is
Answers
Answer:
slope = 2
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, - 1 ) and (x₂, y₂ ) = (3, - 5 )
m = [tex]\frac{-5-(-1)}{3-5}[/tex] = [tex]\frac{-5+1}{-2}[/tex] = [tex]\frac{-4}{-2}[/tex] = 2
An antique has a price tag of $275. The sales tax rate for the county is 8.2%. How much sales tax will be due?
Answers
Answer:
$22.55
Step-by-step explanation:
To find the tax due divide 8.2% by 100 to convert it into a decimal which equals to .082 . Next multiply 275 by .082 which gives you $22.55.
The Shah family uses up 1/2-gallon jug of milk every 3 days. At what rate do they drink milk?
Answers
Answer:
1 Gallon per 6 days
Step-by-step explanation:
1/2 *2 = 1
3*2 =6
Answer:
1/6 Gallons of Milk per Day
Step-by-step explanation:
1/2 / 3 = 1/6
Suppose carpet for a 12 ft by 10 ft room costs $400. Find the cost to carpet a room 36 ft by 30 ft
Answers
Answer:
About $3600
Step-by-step explanation:
10 x 12 =120 square feet - area of the first room
$400 / 120 =$3.33 - cost of carpet per square foot.
36 x 30 = 1080 square feet - the area of the second room
1080 x $3.33 = (about) $3600 cost of carpeting the second room.
4 boys weighed themselves in different pairs and alone. The weights of the pairs were 110kg, 112 kg, 113kg, 118kg, 121 kg, and the weight of one pair was lost. The total weight of the 4 boys was 230kg. What was the lost weight?
Answers
Answer:
116
Step-by-step explanation:
you can use variables
a+b=110
a+c=112
a+d=113
b+c=118
b+d=121
add up the weights and you get 574 kg (you need to find c+d)
3a+3b+2c+2d=574
a+b+c+d = 230 as given then you multiply by 3 so you can cancel out 3a and 3b and subtract 690-574 because we multiplied by 3
you are left with c+d=116
100 POINTS HELP ASAP NOW!!!!!!
Find the value of x in each case.
Answers
9514 1404 393
Answer:
x = 22.5°
Step-by-step explanation:
The interior angle at E is (180 -4x), the supplement of the exterior angle there, 4x. The sum of angles 2x and (180-4x) will be equal to 6x, because alternate interior angles at transversal BE are congruent:
2x +(180 -4x) = 6x
180 = 8x . . . . . . . add 2x and simplify
22.5 = x . . . . . . . divide by 8
The value of x is 22.5°.
Is (2, 2) a solution to this system of inequalities? 2x + 3y ≤ 10 x + 4y < 10
Answers
Answer:
No
Step-by-step explanation:
Plug the coordinates into the given inequality
2(2) + 3(2) ≤ 10(2) + 4(2) < 10
4 + 6 ≤ 20 + 8 < 10
10 ≤ 28 < 10
(2,2) is not a solution to this system of inequalities since 28 cannot be less than 10.
What is numerical value of 35 - 4(5 - 9) + 7?
a. -58
b. -42
c. 42
d. 58
Pls helppp
Answers
Answer:
refer to the picture attached for steps
Step-by-step explanation:
hope it helps
d option
Answer:
58
Step-by-step explanation:
35 - 4 (5 - 9) + 7
Opening Brackets
= 35 - [4 x (-4) ] +7
= 35 + 16 + 7
= 58There were 20 questions on the last quiz in Mrs. Lorenzo's class. A student answered 17 questions correctly. Write the ratio of correct answers to total questions as a decimal
Answers
Answer:
The answer would be 1.17.
Step-by-step explanation:
I need it asap!!! Help a struggling geometry student out!!
Answers
9514 1404 393
Answer:
6. A
7. 80°
8. 20°
Step-by-step explanation:
6.It is helpful to read the question and identify the particular parts of the diagram it is asking about.
The corresponding hash marks mean the marked segments are congruent. These show you that ΔMQT is isosceles, so angles QMT and QTM are congruent. The sets of hash marks on NT and SM mean those segments are congruent. Of course MT is congruent to itself.
These facts let you conclude that triangles NTM and SMT are congruent by the SAS theorem. (The base angles of ΔMQT are between the pairs of congruent sides.)
The only answer choice referencing SAS is the first one, choice A.
__
7.Based on the previous question, it is a simple matter to show ΔMPT ≅ ΔTRM by SAS. Then angles MPT and TRM are congruent. Angle MPT is supplementary to angle MPN, so is 180° -100° = 80°.
Angle TRM is congruent to angle MPT, so is 80°.
__
8.With reference to ΔMQN, angle MQT is an external angle. Its measure is equal to the sum of the opposite internal angles QNM and QMN:
∠MQT = ∠NMQ + ∠QNM
95° = 75° + ∠QNM
20° = ∠QNM
From problem 6, we know that angle N is congruent to angle S, so, ...
∠TSR = ∠QNM = 20°
Which of these angle pairs are congruent because they are corresponding
angles?
A. 2 and 4
B. 2 and 3
C. 2 and 5
D. 2 and 6
SUBMIT
Answers
Answer: it’s 2 and 6
Step-by-step explanation:
The number of coupons x used by a customer in a grocery store is a random variable with the probability density function f(x) = 4x + 3 27 , [0, 3] Find the expected number of coupons a customer will use.
Answers
Applying the integral formula, it is found that the expected number of coupons a customer will use is of 1.83.
The probability density function is given by:
[tex]f(x) = \frac{4x + 3}{27}, [0,3][/tex]
The integral formula for the expected value is:
[tex]E(x) = \int_0^3 xf(x) dx[/tex]
Hence, applying the formula for f(x) given in this problem, the expected number of coupons a customer will use is:
[tex]E(x) = \int_0^3 \frac{4x^2}{27} + \frac{x}{9} dx[/tex]
[tex]E(x) = \frac{4x^3}{81} + \frac{x^2}{18}|_{x = 0}^{x = 3}[/tex]
[tex]E(x) = 1.83[/tex]
The expected number of coupons a customer will use is of 1.83.
A similar problem, which also involves the calculation of the expected value via integral, is given at https://brainly.com/question/14263236
The points (-4,2) and (4,r) lie on a line with slope -1. Find the missing cooridnate r
Answers
r = -6
Step-by-step explanation:
The slope of a line is defined as
[tex]m = \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]
Let [tex]P_1(-4, 2)[/tex] and [tex]P_2(4, r)[/tex]. Since m = -1, we can write
[tex]-1 = \dfrac{r - 2}{4 - (-4)} \Rightarrow -1 = \dfrac{r - 2}{8}[/tex]
or
[tex]r - 2 = -8 \Rightarrow r = -6[/tex]
Use elimination to solve.
3y-6x=7
-4y-3x=9
Answers
Answer:
x = -5/3, y = -1 or [tex](-\frac{5}{3}, -1)[/tex]
Step-by-step explanation:
Solving systems of linear equations using process of elimination involves eliminating one of the variables (and its coefficient) in order to solve the other variable either through addition or subtraction. However, there may be other mathematical operations necessary before one of the variables can be eliminated.
Equation 1: 3y - 6x = 7
Equation 2: -4y - 3x = 9
Step 1: Multiply Equation 2 by -2:
(-2)(-4y - 3x) = 9 (-2)
8y + 6x = -18
Step 2: Add "8y + 6x = -18" to Equation 1:8y + 6x = -18
+ 3y - 6x = 7
11y = -11
Step 3: Divide both sides by 11 to solve for y:[tex]\frac{11y}{11} = \frac{-11}{11}[/tex]
y = -1
Step 4: Substitute y = -1 into Equation 2 to solve for x:-4(-1) - 3x = 9
4 - 3x = 9
Step 5: Subtract 4 from both sides:4 - 4 - 3x = 9 - 4
- 3x = 5
Step 6: Divide both sides by -3 to solve for x:[tex]\frac{-3x}{-3} = \frac{5}{-3}[/tex]
[tex]x = - \frac{5}{3}[/tex]
Verify whether the values for x and y are correct by substituting their values into both equations:
x = -5/3, y = -1
Equation 1: 3y - 6x = 7
[tex]3(-1) - 6(-\frac{5}{3}) = 7[/tex]
-3 + 10 = 7
7 = 7 (True statement).
Equation 2: -4y - 3x = 9
-4(-1) - 3 (-5/3) = 9
[tex]-4(-1) - 3(-\frac{5}{3}) = 9[/tex]
4 + 5 = 9
9 = 9 (True statement).
Therefore, x = -5/3 and y = -1 are the solutions to the given systems of linear equations.
Which inequality is true when the value of d is 14?
−d−9>−1.5
−d−9<1.5
−d−9>1.5
d−9<−1.5
Answers
Answer:
-d - 9 < 1.5
Step-by-step explanation:
In this problem, my reasoning is shown below for each individual inequality. We can test each one to see if it is true or not.
[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?\\[/tex]
-23 is not greater than 1.5, so it can't be the first one. Let's try the next one.
[tex]-(14)-9<1.5?\\-14-9<1.5?\\-23<1.5?[/tex]
Yes! -23 is smaller than 1.5. So we can say that the second option is correct. But just for good measure, we can try the other two.
[tex]-(14)-9>1.5?\\-14-9>1.5?\\-23>1.5?[/tex]
Nope! -23 is not greater than 1.5. Let's try the last one.
[tex]14-9<-1.5?\\5<-1.5?[/tex]
And again... nope. 5 is not smaller than -1.5. So our reigning option is -d - 9 < 1.5. Hopefully this was helpful! If you have any more questions, let me know.
−d−9<1.5 inequality is true when the value of d is 14.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
We have to check the inequality which is true for d when it is 14.
−d−9>−1.5
-14-9>-1.5
-23>-1.5
The first option is false.
−d−9<1.5
-23<-1.5
So the inequality −d−9<1.5 is true for d=14.
−d−9>1.5
-23>1.5
The inequality is false.
d−9<−1.5
14-9<-1.5
5<-1.5
The inequality is false.
Hence, −d−9<1.5 inequality is true when the value of d is 14.
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
A definition of a statistical question is given below.
Statistical question:
Any question whose answer could involve working with more than one data value.
In each situation below, determine whether the question is a statistical question.
Answers
Answer:
I dont know
Step-by-step explanation:
The other questions are about one person asking one other person about something to get numerical data.
If you only ask 1 person, you will have 1 answer. 1 answer is one data value, but statistical questions must have more than one data value.
Add.
7 2/15 + 5 2/3 + 9 13/15 =????????????????????????????????????????????????????????????
Answers
Answer:
68/3 in decimal also Know as 22.67
explanations:
STEP 1: you first of all convert to a fraction 7 2/5=107/15
STEP 2: so the next one 5 2/3 = 17/3
STEP 3: so the next one 9 13/15= 148/15
so after that we add all the answers from step 1-3
which is : 107/15 + 17/3 + 148/15= 68/3.
hope you understand with this few explanations of mine .
pls follow.
thanks.
Brainiest for answer as always
Answers
X can Be mirrored vertically and then is supplementary to x
Answer:
X=33
Step-by-step explanation:
Hope this helps!!!
painter has a 24-foot ladder that he is using to paint a house. For safety reasons, the ladder must be placed at least 8 feet from the base of the side of the house. To the nearest tenth of a foot, how high can the ladder safely reach?
Answers
Answer:
this is a pythagorean theorem problem. 24 is the whole ladder, and if you draw it out, is a hypotenuse. 8 is a leg. . so 8^2 + b^2 = 24^2
b^2 = 512, so b = sqrt(512) = 22.6
Tell whether the ordered pair (−5, −4) is a solution of the system
Answers
Step-by-step explanation:
3x - y = -11
(-15) + 4 is 11 hence RHS = LHS
plz help with this will mark as brinliest
Answers
Answer:
it’s c
Step-by-step explanation:
After buying supplies ruby had $32 left over she spent $4 on notebooks $18 on a backpack and $30 on a new calculator how much money did ruby start with write an equattion to show your work
Answers
Answer:
$84
Ruby started with $84 before purchasing the school supplies.
Step-by-step explanation:
$32 + $4 + $18 + $30 = $84
1.6 ACSF L5 SC Number: Simple and Compound Interest
Sandra plans to retire and can receive a lump sum of $26,376 from her pension provider.
2
She decides to invest of the lump sum for 8 years and use the rest for travelling.
3
Her bank account pays 4.99% compound interest per annum.
How much interest will Sandra receive from this investment after 8 years?
Round your answer to the nearest thousand dollars.
$
Answers
Answer:
$12,000
Step-by-step explanation:
[tex]p(({1 + i})^{n} - 1)[/tex]
[tex]26376( ({1 +.0499 })^{8} - 1) \\ = 12000[/tex]
PLEASE NOT BOTS OR LINKS
THIS IS THE THIRD TIME I HAVE HAD TO POST THIS QUESTION
Answers
Answer: C
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The probability that homework is assigned in Ethan's computer science class is 7/10 From a randomly chosen class, find the probability that Ethan does NOT have computer science homework.
Answers
The probability that Ethan does NOT have computer science homework is 0.3
From the information given:
Let the probability that homework is assigned in Ethan's computer science be P(A) = 7/10However, in probability, the sum of all event outcomes is always equal to 1.
∴
[tex]\mathbf{P(A) + P(A^c) = 1}[/tex]
where;
[tex]\mathbf{ P(A^c) = }[/tex] the probability that Ethan does NOT have computer science homeworkThus;
[tex]\mathbf{ P(A^c) = 1- P(A)}[/tex]
[tex]\mathbf{ P(A^c) = 1- \dfrac{7}{10}}[/tex]
[tex]\mathbf{ P(A^c) =\dfrac{10 -7}{10}}[/tex]
[tex]\mathbf{ P(A^c) =\dfrac{3}{10}}[/tex]
[tex]\mathbf{ P(A^c) =0.3}[/tex]
Therefore, we can conclude that the probability that Ethan does NOT have computer science homework is 0.3
Learn more about probability here:
https://brainly.com/question/11234923?referrer=searchResults
(9 + 31 + 5)[(7 x 5) x 4]
Answers
Answer:
The answer to your question is (7.5.4
Which graph represents the following piecewise defined function? f(x)= x,x<-2\\ -2,-2<= x<1\\ x-3,x>=1
Answers
Answer:
The answer is -2/2x=1
Step-by-step explanation:
Its the second graph on edge
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
12x3
Name? [?]
Degree?
Answers
Degree: 3
you found a recipe which calls for 1/2 pound of chicken per person, if 4 pounds of chicken costs $8, what is the cost per person for the recipe you are using?
Answers
9514 1404 393
Answer:
$1 per person
Step-by-step explanation:
The per-person cost (x) can be found from the proportion ...
x/(0.5 lb) = $8/(4 lb)
Multiplying by 0.5 gives ...
x = (0.5 lb) × ($8 /(4 lb)) = $1 . . . . . . units of lb cancel
The cost per person will be $1.
The table below represents which equation?
Answers
Answer:
the third answer is correct
Step-by-step explanation:
the starting point is 2 and it goes up by 3
