Solve the system using substitution.
6x+8y=30 y=1/2x
Answer:
(3, 1.5)Step-by-step explanation:
Given the system:
6x + 8y = 30 y=1/2xSubstitute y and solve for x:
6x + 8y = 306x + 8(1/2x) = 306x + 4x = 3010x = 30x = 3Find y:
y = 1/2xy = 1/2(3)y = 1.5Solution is (3, 1.5)
Solve the system by substitution.
y = -6x
y = -4x + 4
Answer:
x=-2 y =12
Step-by-step explanation:
Eliminate the equal sides of each equation and combine.
−6x=−4x+4
Solve
−6x=−4x+4
x=−2
y= 12
The solution to the system is the complete set of ordered pairs that are valid solutions.
(−2,12)
The result can be shown in multiple forms.
Point Form:
(−2,12)
Equation Form:
x=−2,y=12
Solve for x. I don't know how to do this. Please help.
please help me on this will give you brainliest
Answer:
Step-by-step explanation:
m<2= 69 degrees
m<1 and m<3 = 21 degrees
Encuentra el mínimo común múltiplo para cada par de números.
1) 3, 24
2) 24, 4
3) 8, 2
4) 5,30
5) 3, 40
In Kelsey’s pencil case, she has 2 highlighters for every 7 pencils. What is the ratio of pencils to highlighters?
Answer:
7:2
Step-by-step explanation:
Answer:
7:2
Step-by-step explanation:
jack finds this list of ingridents needed to make 20 muffins. To make 20 muffins you need 220ml milk, 250g castel sugar, 400g flour.
Jack has these ingridents : 1 litre of milk, 750g caster sugar and 1.5kg flour. Work out the greatest number of muffins Jack can make with his ingridents!
Answer:
60 muffins
Step-by-step explanation:
Find out how much ml you need for each ingredient.
20 muffins =
220 ÷ 20 = 11 (milk)
250 ÷ 20 = 12.5 (castel sugar)
400 ÷ 20 = 20 (flour)
Find out the greatest number of muffins Jack can make.
1 litre = 1000 ml
1000 ÷ 11 = 90.90 (recurring decimal) (milk)
750 ÷ 12.5 = 60 (castel sugar)
1500 ÷ 20 = 75 (flour)
Find the smallest answer out of the 3 questions.
negative 24 divided 15
Answer:
-1.6
Step-by-step explanation:
Mia deposited $2,500 in an account that earned simple interest annually. She did not make additional deposits; she did not make withdrawals.
At the end of 6 years, the balance was $3,025. What is the interest rate on this account?
The interest rate on Mia's account is 20.17%.
What is the simple interest?The borrowing amount is just the principal amount multiplied by the simple interest rate.
Given, Mia deposited $2,500 in an account that earned simple interest annually. She did not make additional deposits; she did not make withdrawals.
The formula to calculate the simple interest is;
S.I. = P x T x R / 100 ,
Where S.I. is simple interest , P is principal amount, T is time period and R is interest rate in a year.
We have, P = $2500 T = 6 years, S.I. = $3025
Substituting all the values in the formula;
3025 = 2500 x 6 x R / 100
R = 3025 x 100 / 15000
R = 20.17%
Therefore, the interest rate is 20.17%.
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If y varies directly as x, and y =6 when x =10, find x when y=18
Answer:
X=30
Step-by-step explanation:
y=kx
6=10k
k=0.6
y=0.6x
18=0.6x
X=18/0.6
x=30
The value of x when y = 18 is 30.
What is Direct Variation?Direct variations are defined as the functions of the form y = kx, where k is a constant.
Here when y increases, x increases and if y decreases, x also decreases.
Given that y varies directly as x.
That is the equation relating y and x can be written as,
y = kx, for some constant k.
Given that,
When x = 10, the value of y = 6.
Substitute in the equation.
6 = 10k
k = 6/10 = 3/5
Now we have to calculate the value of x when y = 18.
Substitute the found values and given values in the equation.
18 = (3/5) x
x = (18 × 5) / 3
x = 30
Hence the value of x is 30 when y = 18.
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You buy a computer for $3,000. Its value depreciates by 8% every month. Write an equation to represent the situation. How much is your computer worth after 3 years?
Answer:
y=3,000(0.92)^x
Step-by-step explanation:
your computer is worth $2, 336.04
Darnell and Hector ride their bikes at constant speeds. Darnell leaves Hector’s house to bike home. He can bike the 8 miles in 32 minutes. Five minutes after Darnell leaves, Hector realizes that Darnell left his phone. Hector rides to catch up. He can ride to Darnell’s house in 24 minutes. Assuming they bike the same path, will Hector catch up to Darnell before he gets home?
Answer:
yes
Step-by-step explanation:
Even after 5 minutes, it will still take Darnell 27 more minutes to get home. If Hector can make it in 24 minutes, then he can catch up to Darnell before he gets home.
Here are the prices of some items and the amount of sales tax charged on each in Nevada. Cost of Item $10; Tax .57 Cost of Item $50; Tax 2.85 What is the sales tax rate in Nevada?
2.5% 7%
4.8% 5.7%
Factorise.
5a - 25a^3
Point VV is located at (-5,3)(−5,3) on the coordinate plane. Point VV is reflected over the yy-axis to create point V'V ′ . Point V'V ′ is then reflected over the xx-axis to create point V''V ′′ . What ordered pair describes the location of V''?V ′′ ?
Given:
Point V is located at (-5,3) on the coordinate plane.
It is reflected over the y-axis to create point V'.
Point V' is then reflected over the x-axis to create point V''.
To find:
The location of point V''.
Solution:
We have,
Point V= (-5,3)
If point V reflected over the y-axis, then
[tex](x,y)\to (-x,y)[/tex]
[tex]V(-5,3)\to V'(5,3)[/tex]
If point V' reflected over the x-axis, then
[tex](x,y)\to (x,-y)[/tex]
[tex]V'(5,3)\to V''(5,-3)[/tex]
Therefore, the ordered pair (5,-3) describes the location of V''.
Answer:
5,3
Step-by-step explanation:
Point VV is located at (-4,6)(−4,6) on the coordinate plane. Point VV is reflected over the xx-axis to create point V'V
′
. What ordered pair describes the location of V'?V
′
?
GIVING BRAINLIEST
The table shows the temperature at noon of four towns for 2 days.
Player
Temperature Temperature
Day 1 (°F) Day 2 (°F)
Mimstown
4 -6
Pikeville
-9 -1
Jackson
-4 3
Lancaster
6 14
Which town had the SMALLEST change in temperature between the two days?
jackson
Step-by-step explanation:
Complete the table by entering the correct value in each blank. (Enter fractional answers like
as 1/5.)
Expression Value
A
B
C
D
Answer:
D
O
N
T
KNOW
Step-by-step explanation:
Y
O
U ARE
W
E
L
C
O
M
E
4. Isaiah wants to save up money to buy new Nikes. He already has $40 in
the bank. He works a night job for $7.50 an hour. Write an equation that
represents how much money Isaiah will have in the bank, m, based on the
number of hours he works, h. *
Your answer
!
This is a required question
Answer:
£976
Step-by-step explanation:
1.A rectangular room contains 600m cube of air and its height is 5m.
(i) Find the area of its floor.
(ii) Find the cost of carpeting its floor at Rs 60 per sq.m.
Answer:
24 m square
1,440 RS
Step-by-step explanation:
Volume is height x area
600= 5 x area => area = 600/5 = 24 m2
24 sqm x 60 RS/ sqm = 1,440 RS
Complete the table:
a. 1
c. 2
b. -1
d. 0
Answer:
cos0 = 1
cos90 =0
so a for the first one and d for the other
Answer:
The answer is -1
Step-by-step explanation:
:)
You're making deliveries and can travel 484 miles on 22 gallons of gas. How far can
you travel on 38 gallons of gas?
i need help, may someone help please..
Answer:
if line p is going through the middle x is equal to 5
factorise for 4x + 2
Answer:
2(2x + 1)
Step-by-step explanation:
4x = 2 * 2x
2 = 2 * 1
Sanaa went into a t-shirt store and purchased 2 t-shirts for $30. The store is having a sale for 40% off. What is the amount of money she will save with the sale?
Answer:
$12
Step-by-step explanation:
$30 x .40 = $12
A square has legs of 11, what is the measure of its hypotenuse
A.) 9.4 or B.)15.6
15.6 is the measure of the hypotenuse of the square.
What is a square?A square is a two-dimensional closed shape with 4 equal sides and 4 vertices.
Given that one side of the square is 11.
The diagonal is the hypotenuse of the square.
Since square have equal sides, the hypotenuse can be obtained using Pythagorean theorem.
i.e. 11² + 11² = (hypotenuse)²
i,.e. (hypotenuse)² = 121+121 =242
Therefore, hypotenuse = √242 = 15.6
Hence, the measure of the hypotenuse of the square is 15.6
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Tom has ⅞ cup of olive oil. He uses ½ cup to make salad dressing and ¼ cup to make tomato sauce. How much olive oil does Tom have left?
Answer:
1/8 cup left
Step-by-step explanation:
Starts with 7/8
Uses 1/2 which equals 4/8
Then uses another 1/4 which equals 2/8
4/8+2/8 is 6/8 so he uses 6/8 of olive oil
He has 7/8 and uses 6/8 so 7/8-6/8 quals 1/8
On Monday Sylvia spent 5/12 of a day driving to her cousins house. On Friday she spent the same amount of time driving home. What fraction of a day did Sylvia spend driving to her cousins house and back?
Answer: The fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]
Step-by-step explanation:
Given: Fraction of day Sylvia spent to drive her cousins home = [tex]\dfrac5{12}[/tex]
Fraction of day Sylvia spent to drive her home back= [tex]\dfrac5{12}[/tex]
Total fraction of day Sylvia spend driving to her cousins house and back = [tex]\dfrac5{12}+\dfrac{5}{12}[/tex]
[tex]=\dfrac{5+5}{12}\\\\=\dfrac{10}{12}\\\\=\dfrac{5}{6}[/tex]
Hence, the fraction of a day did Sylvia spend driving to her cousins house and back = [tex]\dfrac{5}{6}[/tex]
what is 3 times 4 time 20
240 is the answer
Step-by-step explanation:
3x4=12
12x20=240
=
What is the value of the expression below when w=
3?
5w + 2
Answer:
17
Step-by-step explanation:
5w+2
Substitute w as 3
5(3)+2
Multiply
15+2
Add
17
I hope this helps!
There are 30 pieces of fruit in a bowl and 12 of them are oranges. What percentage of the pieces of fruit in the bowl are oranges?
Answer:
40% of the fruit in the bowl are oranges.
Step-by-step explanation:
12/30=0.4