Answer:
x = -10
y = 20
Step-by-step explanation:
y = -2x
so
substituting the value in equation ii
3x + 4y = 50
or, 3x + 4(-2x) = 50
or, 3x + (-8x) = 50
or, 3x-8x = 50
or, -5x = 50
so, x = -10
so
y = -2x
or, y = -2*(-10)
so, y = 20
You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 6 total people. How much
yogurt should you add
Answer:
Step-by-step explanation:
1 2/4
Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.
That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.
Hope this helps and if possible brainliest please?
sin t sin 3t sin 5t = 1/4(-sin t + sin 3t +sin 7t - sin 9t).
Recall that
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
cos(a - b) = cos(a) cos(b) + sin(a) sin(b)
and by subtracting the first equation from the second, we get
cos(a - b) - cos(a + b) = 2 sin(a) sin(b)
So, we can write
sin(t) sin(3t) = 1/2 (cos(2t) - cos(4t))
and expanding the left side in the original equation gives
sin(t) sin(3t) sin(5t) = 1/2 (cos(2t) - cos(4t)) sin(5t)
… = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)
Similarly, recall that
sin(a + b) = sin(a) cos(b) + cos(a) sin(b)
sin(a - b) = sin(a) cos(b) - cos(a) sin(b)
===> sin(a + b) + sin(a - b) = 2 sin(a) cos(b)
Then
cos(2t) sin(5t) = 1/2 (sin(7t) + sin(3t))
and
cos(4t) sin(5t) = 1/2 (sin(9t) + sin(t))
So we have
sin(t) sin(3t) sin(5t) = 1/2 cos(2t) sin(5t) - 1/2 cos(4t) sin(5t)
… = 1/2 (1/2 (sin(7t) + sin(3t))) - 1/2 (1/2 (sin(9t) + sin(t)))
… = 1/4 sin(7t) + 1/4 sin(3t) - 1/4 sin(9t) - 1/4 sin(t)
… = 1/4 (-sin(t) + sin(3t) + sin(7t) - sin(9t))
as required.
simplify simplify simplify simplify
[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]
[tex]\boxed{\sf a^m\div a^n=a^{m-n}}[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times( 3^4\div 3^0)^2[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times (3^{4-0})^2[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times 3^{4(2)}[/tex]
[tex]\\ \sf\longmapsto 3^{-6}\times 3^8[/tex]
[tex]\\ \sf\longmapsto 3^{-6+8}[/tex]
[tex]\\ \sf\longmapsto 3^2[/tex]
Answer:
[tex] {3}^{2} [/tex]
Step-by-step explanation:
[tex] {3}^{ - 6} \times ( {3}^{4} \div {3}^{0} {)}^{2} [/tex]
[tex] {3}^{4} \div {3}^{0} = {3}^{4 + 0} = {3}^{4} [/tex]
[tex] {3}^{ - 6} \times ( {3}^{4} {)}^{2} [/tex]
[tex]( {3}^{4} {)}^{2} = {3}^{4 \times 2} = {3}^{8} [/tex]
[tex] {3}^{ - 6} \times {3}^{8} = {3}^{ - 6 + 8} = {3}^{2} [/tex]
[tex] \boxed{\green{= {3}^{2} }}[/tex]
a boy walks 16 km in 2 days, in how many days will he walk 256km?
Answer:
32 days
Step-by-step explanation:
2 days = 16km
1 day = 8km
256km÷8km=32 days
Polynomial needs to be in order from?
Answer:
polynomials are written in descending order.
pls answer fast I will give you hundred points
When 7 is subtracted from four times a certain number, the answer is 37. What is the
number?
Answer:
brainliest is appreciated
Can someone help me with questions 12 and 13 please I am very confused with this two I’ll appreciate it!
Answer:
12. (2, -3)
13. AH: +15 B: +721 CB: 0 N: +462 WB: -1200
Step-by-step explanation:
12.
When a point is reflected over the x-axis, the y coordinate becomes opposite because you are changing its y value, not its x-value. So (-2, 3) reflecting over the x-axis becomes (-2, -3).
The same concept goes for reflecting over the y-axis. The x coordinate becomes opposite because you are changing its x value. (It's like folding the graph in half and seeing where the point matches up with. So (-2, -3) reflecting over the y-axis becomes (2, -3).
13.
All you have to do is list each artifact and where they were found in relation the sea level (0). If it is above sea level then it is a positive number, below sea level is a negative number.
Arrow head: +15 (since it is 15 feet above sea level)
Woven basket: -1200 (since it is 1200 feet below sea level)
Someone help me please
Answer:
option a
Step-by-step explanation:
all positive real numbers
Add and round the answer to the nearest THOUSANDTHS place value
191.007+0.8215
Answer:
191.829
Step-by-step explanation:
191.007+0.8215=191.8285. But since you want to round it to the nearest thousandths place, you have 191.829
Answer:
191.8290
Step-by-step explanation:
191.007 + 0.8215 = 191.8290
0.8215
0.0097
+______
0.8285
then add 191. to .8285, creating 191.8285, then rounding to the nearest thousandths, and in this case the thousandths is a 5, which means we always round up. That gives us 191.8290.
p.s. there's no need for the zero at the end
Help anyone can help me do this question 2,I will mark brainlest.The question is prove that vertices (9,5),(5,-1),(-1,3)of a triangle is an isosceles triangle.
Step-by-step explanation:
it's an isosceles because it's has two vertices with the points -1
Solve the system of equations using substitution or elimination:
x = 3y + 6
2x - 4y = 8
Answer:
x=0, y=-2
Step-by-step explanation:
Let x=3y+6 be equation 1
and 2x-4y=8 be equation 2
sub equation 1 into equation2,
2(3y+6)-4y=8
6y+12-4y=8
2y=-4
y=-2
sub y=-2 into equation 1,
x=3(-2)+6
x=0
sub is an abbreviation for substitute
Round the numbers to the nearest thousand 7,432=
-3,869
Find the estimated answer
Answer:
KY S
Step-by-step explanation:
Rewrite in simplest terms: 4(3d + 7f) – 5f – 3(9f + 3d)
Answer:
3d - 4f
Step-by-step explanation:
(12d + 28f) - 5f - (27f + 9d)
12d + 28f - 5f - 27f - 9d
(12-9)d + (28-5-27)f
3d - 4f
don't forget to put bracket, it is fundamental
4(3d + 7f) – 5f – 3(9f + 3d)
Use the distributive properly:
12d + 28f - 5f -27f -9d
Combine like terms:
3d -4f
Solve the equation. Provide your answer as a simplified fraction or round to the nearest hundredth, if necessary.
(-3/2)(4x + 2) + 2x = -30
x = _______ ?
Answer:
[tex] \frac{ - 3}{2} (4x + 2) + 2x = - 30 \\ \frac{ - 3 \times 4x}{2} + \frac{ - 3 \times 2}{2} + 2x = - 30 \\ - 6x + - 3 + 2x = - 30 \\ - 4x - 3 = -30 \\ - 4x = -27\\ x = \frac{-27}{ - 4} \\ = 6.75 = 7 \\ thank \: you[/tex]
What is the coefficient of y? – 5x + 6y
Answer:
Five and six is the coefficient
What is the greatest
common factor (GCF)
of 40 and 42?
Evaluate A2 for A = -4
Answer:
16
Step-by-step explanation:
A² for A = -4
= (-4)²
= (-4) × (-4)
= 16
Answer:
A² = 16
Step-by-step explanation:
Substitute A = - 4 into the expression
A² = (- 4)² = - 4 × - 4 = 16
Martha earned a gross pay of $1,215.60 last week. Using the fact that Social Security tax is 6.2% of gross pay, determine the amount of Social security tax deducted from Martha’s gross pay.
a.
$7.54
b.
$65.37
c.
$75.37
d.
$75.40
Please select the best answer from the choices provided
A
B
C
D
Answer:
(c) $75.37
Step-by-step explanation:
SStax = GrossPay * SSrate
SStax = 1215.60 * 6.2%
SStax = 1215.60 * 0.062
SStax = 75.37
Which statement compares the numbers correctly 23.811 > twenty-three and eight hundred eleven thousandths Twenty-three and eight hundred eleven thousandths > 23.811 Twenty-three and eight hundred eleven thousandths < 23.811 Twenty-three and eight hundred eleven thousandths = 23.811
Answer:
The correct answer is A.
Step-by-step explanation:
what are the steps in order needed to solve 3x+4=13
pls help
The model below can be used to find the quotient of one over two divided by one over six. What is the quotient?
a.6
B.3
C.7 over 8
D 6 over 7
Answer:
1/2 ÷1/6=1/2×6/1
=6/2=3.
the answer is 3
even though I didn't get the question I hope it helps
Easy question: Mr. Brown bought chocolate for his students. He had 35 students, and the chocolates came with boxes of 10 that cost $3.98 for each. How many boxes did Mr. Brown have to buy, also how much
do they cost in total?
Answer:
$15.92
Step-by-step explanation:
3.98•4=15.92. You need 4 doxes so 5 students aren't left out.
Arianna works as a teller at a bank downtown. Each morning, Arianna walks 5 minutes to the subway station. The subway ride to the bank takes 42 minutes. What is the latest time Arianna can leave her house in order to be at the bank by 7:43 A.M.? HELP ME PLS
Answer:
The latest time she can leave is 6:56 A.M.
Step-by-step explanation:
Just trust me. :)
how about you solve X2+4x-20=0 in algebra 1 explanation on how you got the answer
Answer:
x=−2+2√6 or x=−2−2√6
Step-by-step explanation:
Let's solve your equation step-by-step.
x2+4x−20=0
For this equation: a=1, b=4, c=-20
1x2+4x+−20=0
Step 1: Use quadratic formula with a=1, b=4, c=-20.
x=
−b±√b2−4ac
2a
x=
−(4)±√(4)2−4(1)(−20)
2(1)
x=
−4±√96
2
x=−2+2√6 or x=−2−2√6
A triangular garden has sides that measure 6 1/4 feet, 7 1/2 feet, and 6 5/6 feet.
What is the perimeter of the garden?
Answer:
20 feet 7 inches
Step-by-step explanation:
We can separate the fractions and wholes for the minute. 6+7+6= 19
Then we can go on to the fractions a foot is 12 inches. We are given the fractions 1/4, 1/2, &5/6.
1/4 of 12 is 3 as 12 divided by 4 is 3. (3 inches)
1/2 of 12 is 6 as 12 divided by 2 is 6 . ( 6inches)
5/6 of 12 is 10 as 12 divided by 6 then multiplied by 5 is 10. (10 inches)
Because it'd be a bit weird to provide the answer 9 feet and 19 inches we have to convert the 19 inches from the fractions to feet. Since one foot is 12 inches we know that we can take one foot from the 19 inches from the fractions provided with 7 inches left. With that, the final answer is 10 feet and 7 inches.
Open for more questions, comments, concerns, or critiques ( there are most likely grammatical errors)
Answer:
Step-by-step explanation:
The perimeter of this garden is the sum of the lengths of its three sides:
6.25
7.50
+6,833
-----------
20.583 feet
This could and should be rounded off to 2 decimal places: 20.58 ft
or to a mixed fraction: 20 7 1/12 ft
(a+b)ˇ2 - 3 -6 - 0 + 5 =
Answer:
a+b=2
Step-by-step explanation:
start by combining all the terms that are possible: (a+b)^2 - 4 = 0
move -4 to the other side: (a+b)^2= 4
Find the square root of both sides: a+b=2
how do i simplify "-2.5"?
Answer:
By adding
please mark me brainliest
Find the common difference of the arithmetic sequence -6, 2, 10, ...
Answer:
8
Step-by-step explanation:
Reynaldo drew square EFGH. Then, he drew the image of it, square E'F'G'H', 4 centimeters to the left of the original figure. Line segment EF is 6 centimeters. How long is segment E'F'?
Answer:
6 centimeters
Step-by-step explanation:
Square E'F'G'H' is just square EFGH translated to the left.
It is still the same size, just in a different location.
Line segment EF is the same length as segment E'F'.
6 centimeters
The segment [tex]E'F'[/tex] is 6 centimeters long.
According to this question, Reynaldo created a new square with same dimensions of the former one by translating it 4 centimeters to the left, which means that line segments EF and E'F' have the same length. Let suppose that no further operations have been done.
If [tex]EF = 6\,cm[/tex], then [tex]E'F' = 6\,cm[/tex] because of translation. In other words, the segment [tex]E'F'[/tex] is 6 centimeters long.
We kindly invite you to check this question related to translation of squares: https://brainly.com/question/12891664