Given pair of linear equations in two variables are :
7x-3y = 8------------(1)
3x-4y = 1-------------(2)
On multiplying (1) with 3 then
21x-9y = 24 ---------(3)
On multiplying with 7 then
21x-28y = 7 ----------(4)
On subtracting (4) from (3) then
21x-9y = 24
21x-28y = 7
(-) (+) (-)
__________
0+19y = 17
__________
→ 19y = 17
→ y = 17/19
On substituting the value of y in (2) then
→ 3x-4(17/19) = 1
→ 3x -(68/19) = 1
→ (57x-68)/19 = 1
→ 57x-68 = 1×19
→ 57x -68 = 19
→ 57x = 19+68
→ 57x = 87
→ x = 87/57
Therefore, the value of x and y is 87/57 and 17/19 respectively.
expression 5n + 2 can be used to find the total cost in dollars of bowling where n is the number of games bowled and 2 represents the cost of shoe rental. How much will it cost Vincent to bowl 3 games?
Answer:
$17
Step-by-step explanation:
n=3
5*3=15
15+2=17
Find the least 2-digit whole number N so that the sum 2^9+2^4+N is a perfect square.
Answer:
N=48
Step-by-step explanation:
2^9+2^4+48=576
576 is a perfect square
The least value of N that makes [tex]2^9 + 2^4 + N[/tex] a perfect square is 48
The number is given as:
[tex]2^9 + 2^4 + N[/tex]
Evaluate the exponents
[tex]2^9 + 2^4 + N = 512 + 16 + N[/tex]
Add 512 and 16
[tex]2^9 + 2^4 + N = 528 + N[/tex]
The above equation means that:
The sum of 528 and N is greater than 537 (this is so because N is 2-digit i.e. the possible value of N starts from 10).The smallest perfect square greater than 537 is 576.So, the smallest value of the equation is 576.
The equation becomes
[tex]528 + N = 576[/tex]
Subtract 528 from both sides
[tex]N = 576 - 528[/tex]
[tex]N = 48[/tex]
Hence, the least value of N is 48
Read more about perfect squares at:
https://brainly.com/question/1538726
In the inequality -2 < 2, which number appears farther right on a number line and why?
Answer:
2
Step-by-step explanation:
2 is farther right on the number line because it is a positive number while -2 is negative.
‼️I NEED IT RN‼️
Annabelle has a loyalty card good for a 2% discount at her local pharmacy. If the total
cost, before tax and discount, of all the items she wants to buy is c, which expression
does NOT represent the cost after the discount?
A- 0.98c
B- 1c - 0.02c
C- (1 - 0.02)c
D- C -0.02
Answer:
Use both methods to calculate the sale price of an item that costs $140 and has a discount of. 40%. 140 x.40 = 56. 140-56 +84. 140x.60 = $84.
Step-by-step explanation:
C
HELPPP PLZ I NEED TO PASS ‼️‼️‼️‼️‼️‼️
parallel perpendicular or neither
Answer:
Parallel
Step-by-step explanation:
Line A can be simplified to 1/5x = y.
Line B can be simplified to y = 1/5x + 16.
They both have the same slope, 1/5, so they will be parallel.
Answer:
Parallel
Step-by-step explanation:
Same thing as the last one. Put it in [tex]y=mx+b[/tex]
A: [tex]y=1/5x[/tex]
and
B: [tex]y=1/5x+16[/tex]
These lines are parallel because they have the same slopes, but different y-intercepts.
How to tell if a piecewise function is differentiable.
Answer:
So what we're going to do is now take the so drdx of negative 3x plus 1 is equal drdx of x squared
Step-by-step explanation:
Find all zeros f(x) = 3x^2+8x+7
Answer:
Step-by-step explanation:
If an airplane in a 1 in : 2 ft scale drawing is 6 inches long, how long is the actual airplane? 12 ft 24 ft 8 ft 3 ft.
Answer:
the answer is 12ft hope that helps
What is the slope of the line that passes through the points (-4, -4)(−4,−4) and (-4, -9) ?(−4,−9)? Write your answer in simplest form.
Answer:
undefined slope
Step-by-step explanation:
The points contain the same x-value. This means that the line is vertical.
All vertical lines have an undefined slope.
Hope this helps.
Find the missing dimensions: Use the scale factor 1/4:3
Answer:
The answer is 1/4!
Step-by-step explanation:
-9y + 8(4z + 3y) -6x
PLZ HELP
Answer:
15y + 32z - 6x
Step-by-step explanation:
-9y + 8(4z + 3y) -6x
=> -9y + 32z + 24y - 6x
=> 15y + 32z - 6x
Hoped this helped.
HELPPPP!!! please answer the question in the picture below
=================================================
Solution:[tex] \rightarrow [/tex]Formula: Amount = P x (1 + R x T)
[tex] \rightarrow [/tex] = 1,400 x (1 + 3.4% x 4)
[tex] \rightarrow [/tex] = 1, 400 x (1 + 0.034 x 4)
[tex] \rightarrow [/tex] = 1,400 x (1 + 0.136)
[tex] \rightarrow [/tex] = 1,400 x 1.136
[tex] \rightarrow [/tex] = 1,590.4
WATER The workers at the plant drink 38 gallons of water per day. Write an equation to find the number of gallons g the workers drink in any number of days d?
Given f(x) = 5x + 2 and g(x) = 5x - x5X What is the value of (f 9)(1)?
Answer:
the answer is 5×9+2=47
Step-by-step explanation:
the answer is 47
Write the equation of the line in fully simplified slope-intercept form.
Answer:
y = 5x - 2
Step-by-step explanation:
y = mx+b
Answer:
y = -5x-2
Step-by-step explanation:
Use slope and y intercept to place the equation into slope intercept for (y=mx+b)
Find the value of m when 0.21: 6.3= 0.06: m
Answer:
1.8
Step-by-step explanation:
0.21 : 6.3 = 0.06 : m
=> 0.21/6.3 = 0.06/m
=> m = 0.06 x 6.3 / 0.21
m = 1.8
Hope this helps!!
ayo help me please im dying of math
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3
Step-by-step explanation:
relax ! don't panic. just breathe deeply and then focus again.
a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.
this factor is given here as 3/2.
this is called common ratio, because of that building rule the ratio of 2 consecutive terms is
an/an-1 = factor = 3/2
the first term is 3.
so,
a1 = 3
a2 = a1×3/2 = 3×3/2 = 9/2
a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4
we see
an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)
and therefore
a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125
⚠️ inequality’s ⚠️
m-2/3 <-4 OR 3m-8>4
Answer:
-10 OR 4
Step-by-step explanation:
Nicole was given a box of assorted chocolates for her birthday. Each night, Nicole
treated herself to some chocolates. There were originally 24 chocolates in the box and
Nicole ate 3 chocolates each night. Make a table of values and then write an equation
for C, in terms of t, representing the number of chocolates remaining in the box t
days after Nicole's birthday.
Number of Days After Nicole's
Birthday
Number of Chocolates Remaining in the
Box
0
1
2
3
Step-by-step explanation:
T | 0 | 1 | 2 | 3 |
C | 24 | 21 | 18 | 15 |
Rule:
To find a rule, we need to find 2 things- what T is multiplied by and what is added.
To find what it is multiplied, we need to see the increase or decrease in C for every T. In this equation, there is a decrease of 3, so we multiply T by -3.
To find what is added, we go to 0 T and find the corresponding number. When T is 0, C is 24 so we add 24.
We write a rule as: y = mx + c, or in this case, c = mt + a
So the rule is c = -3x + 24
Grace has $105 to buy a cake and pizza for her cousin’s birthday party. She knows she needs to set aside $25 for the cake, and the rest of the money she can spend on pizzas. Each pizza costs $9.25. How many pizzas can Grace afford to buy?
pls simplify
WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST AND GETS IT RIGHT!!!
Hello there!
Grace has $105 for pizzas and a cake.
She sets aside $25, so we subtract:
105-25=80
So she has $80 for pizzas.
Now, to find out how many pizzas Grace can buy, we take $80 and divide it by the price of one pizza (9.25):
The approximate answer is 8.6
Hope it helps
~Just a gloomy teen who misses her best friend
#CarryOnLearning
[tex]SilentNature[/tex]
please help!! this is for my geometry class
Answer:
x = 48°
Step-by-step explanation:
The triangle on the left has 3 congruent sides and is equilateral with 3 congruent angles, each of 60°
The 3 angles on the base line sum to 180° , that is
60° + 54° + base = 180°
114° + base = 180° ( subtract 114° from both sides )
base = 66°
The triangle on the right has 2 congruent sides and is isosceles with base angles congruent , both 66° , then
x = 180° - (66 + 66)° = 180° - 132° = 48°
find the slope and y intercept.
Answer:
slope= -2/5
y intercept b= (0,2)
10. Which statement about this flgure is true?
A. it has reflectional symmetry.
B. It has no rotational symmetry.
C. It has rotational symmetry with an angle of rotation of 180 deg.
D. It has point symmetry.
HURRYYYY PLEASEEE
(4)/(12)= ()/(3) what makes this equivalent
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]
Increase 1000 in the ratio 2:5
Answer:
1400
Step-by-step explanation:
2/5×1000=400
1000+400=1400
Step-by-step explanation:
Let the new quantity be x.
x:1000=2:5
x/1000=2/5
(multiply both side by 1000)
[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]
[tex]x = 400[/tex]
Jordan and Ben exercise at the same gym. The table below shows the number of calories they burned in each of their last 5 workouts.
How many calories would ben need to burn in his next workout to have the same average as Jordan?
Answer: The answer is 55 more calories than jordan in the next session
Step-by-step explanation: So sorry, I am bad at explaining :(
Answer:
760 calories
Step-by-step explanation:
Jordan's average is ...
(850 +674 +729 +658 +614)/5 = 705
Then the total number of calories Ben needs to burn in 6 sessions is ...
705×6 = 4230
So far, Ben has burned ...
716 +635 +802 +687 +630 = 3470 . . . calories
So, in his next session, Ben must burn ...
4230 -3470 = 760 . . . calories
To have the same average after 6 sessions that Jordan now has after 5 sessions, Ben must burn 760 calories in his 6th session.
please answer this I’ll mark brainliest and follow
this is the correct answer
Dan invested $500 in a savings account that earned 5% interest compounded quarterly. How much is in his account after 5 years?
Answer:
125
Step-by-step explanation:
Multiply 500x0.05x5
(make sure you change the percentage to a decimal do you will get a wrong answer)
I’m so sorry if my answer is wrong
Evaluate if a = - 3 and b = 2
-3a/B^2
Answer:
9/4
Step-by-step explanation:
= -3a
= -3(-3)
= 9
=B^2
= (2)^2
=4
therefore answer: 9/4