Answer: y = 23 x = 28
Step-by-step explanation:
First find the value of y.
The angle (5y -4) and 3y forms a straight line which means that if you add them together they will equal 180 degrees. Add them and set them equation to 180 to solve for y.
5y-4 + 3y = 180
8y -4 = 180
+4 +4
8y = 184
y= 23
Since y is equal to 23, then input y into the expression (5y-4) to find the main angle value and then add it with the angle (2x+13) to equal to 180 degrees because they also form a straight angle.
5(23) - 4
115 - 4 = 111
111 + (2x + 13) = 180
124 + 2x = 180
-124 -124
2x = 56
x = 28
x is equal to 28 degrees.
Check.
111 + 2(28) + 13 = 180
111 + 56 + 13 = 180
180 = 180
A scientist needs 10 liters of a 20% acid solution for an experiment, but she only has a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and 40% solutions should she mix to get the solution she needs?
9514 1404 393
Answer:
4.3 L of 40% solution5.7 L of 5% solutionStep-by-step explanation:
Let x represent the number of liters of 40% solution in the mix. Then the total amount of acid in the mix is ...
0.40x +0.05(10-x) = 0.20(10)
0.35x +0.5 = 2.0
0.35x = 1.5
x = 1.5/0.35 ≈ 4.3 . . . . liters of 40% solution
10-x = 10 -4.3 = 5.7 . . .liters of 5% solution
I don't get this Please help asap!?
Answer:
Step-by-step explanation:
I think it’s 6
Answer:
it's 6 inches
Step-by-step explanation:
I measured it
Solve the equation, justify
each step with an algebraic
property.
-2x = x – 5
Answer:
x= 1.66 repeating
Step-by-step explanation:
Let's solve your equation step-by-step.
−2x=x−5
Step 1: Subtract x from both sides.
−2x − x = x − 5− x
−3x=−5
Step 2: Divide both sides by -3.
-3x/-3=-5/-3
Answer:
x=1.66 repeating
Arti is mixing some orange paint for the class mural.
She mixes 3 squirts of yellow for every 2 squirts of red
and gets a beautiful orange color. Shannon put 9
squirts of yellow in her bowl. If she wants to get the
same orange color as Arti, how many squirts of red
Answer:
6
Step-by-step explanation:
write y=x²+6x-1 in terms of r, given x/r=-3
Given:
[tex]y=x^2+6x-1[/tex]
[tex]\dfrac{x}{r}=-3[/tex]
To find:
The given equation in terms of r if [tex]\dfrac{x}{r}=-3[/tex].
Solution:
Given that,
[tex]\dfrac{x}{r}=-3[/tex]
[tex]x=-3r[/tex]
We have,
[tex]y=x^2+6x-1[/tex]
Substitute x=-3r in the above equation.
[tex]y=(-3r)^2+6(-3r)-1[/tex]
[tex]y=9r^2-18r-1[/tex]
Therefore, the required equation in terms of r is [tex]y=9r^2-18r-1[/tex].
Write the equation of the line that passes through the points (4,9) and (9,1). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
Answer:
y=-8/5x+77/5
Step-by-step explanation:
The equation of line that passes through the points (4, 9) and (9, 1) is y=-8/5x+77/5. Hope it helps!
The equation of line passes through the points (4, 9) and (9, 1) will be;
⇒ y = - 8/5x + 77/5
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (4, 9) and (9, 1)
Now,
Since, The equation of line passes through the points (4, 9) and (9, 1)
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (1 - 9) / (9 - 4)
m = - 8 / 5
Thus, The equation of line with slope - 8/5 is,
⇒ y - 9 = - 8/5 (x - 4)
⇒ y - 9 = - 8/5x + 32/5
⇒ y = - 8/5x + 32/5 + 9
⇒ y = - 8/5x + 77/5
Therefore, The equation of line passes through the points (4, 9) and (9, 1) will be;
⇒ y = - 8/5x + 77/5
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Write a unit rate for 53 pages in 2 hours
Answer: 26.5 pages/hr
Step-by-step explanation:
53 pgs/2 hours = 26.5 pages/hr
Which set of line segments could create a right triangle? (4 points) 1) 24, 30. 35 2) 12. 18. 30 03) 18. 24. 30 4) 18. 24, 35
Answer:
Its 18,24,30
Step-by-step explanation:
I had the same question and this was the answer.Plus if you do the math this is the only one that equals c^2
(2.891 * 10^5) + (4.65 x 10^5)
Answer:
10000000013.4 or 13.44+10^10
Step-by-step explanation:
1. move the left 10^5 and switch it with the 4.65
2. It should look like: (2.891 * 4.65) + (10^5 * 10^5)
3. Simplify: 13.44 + 10^10
4. Your answer should look like 10000000013.4 or 13.44 + 10^10. WooHoo! You just finished!
Please do Brainliest answer that would be appreciated!
Answer:
7.541 * 10^5
Step by step:
add 2.891 with 4.65
then add the 10^5
(This is an easy version on how to solve it. There is a more complex version but it’s too long.)
If wrapping paper comes in packages of 300 cm2. How many packages will Sally need?
Answer:
she needs 3 packages
Step-by-step explanation:
the total area of the cd is 27 cm
so like
she needs to wrap 27 cm of area
because 0.5 cm by 14 cm by 12.5 cm added all together is 27
then
27 cm equals 10.6 inches
so now we need to find how many 300cm2 will fit into that 11 inch space
There are 0.00107639 square feet in a square centimeter.
but we want to know how many feet not square feet
0.00107639 × 27 =
0.02906253
2.906253
there are 2.906253 feet per suare foot
so 2.9 rounded up is 3
she needs 3 packages
Round 27.977 to the nearest hundredth.
Answer
Answer:
27.98
Step-by-step explanation:
the second seven 27.9(7)7 is the hundreth place, so sense 7 is above five we round up to and eight, then get rid of the number after it
4x + 2(2x - 3) = 8(x - 1)
Answer:
No solution
Step-by-step explanation:
4x + 2(2x - 3) = 8(x - 1)
4x + 4x - 6 = 8x - 8
8x - 6 = 8x - 8
0 = -2
There is no value of x makes the equation true.
For the arithmetic sequence 13,9,5,1... determine t8?
Answer:
34
Step-by-step explanation:
SOMEONE PLLLLZZZ HELP MMEEE!!!III BBEEGGGGG UUU!!!!
Answer:
y = x + 2
Step-by-step explanation:
Used slope formula to get a slope of 1
Line crosses y axis at (0,2)
I NEED HELP ASAP PLEASE!! -4(w+1)=-24 w= what?
GiveN:
-4(w + 1) = -24wWhat to do?
We have to solve for wStep-by-step explanation:
For solving the Equation, we need to simplify it first. Expanding the parentheses.
⇒ -4w - 4 = -24 w
Shifting -24 w to the LHS to isolate m and shifting 4 to the RHS[tex].[/tex]
⇒ -4w + 24w = 4
⇒ 20w = 4
Dividing the equation by 20, So that we will get w in the LHS of the equation.
⇒ w = 4/20
⇒ w = 1/5
The required value of w is 1/5.
Which of the numbers below are less than 475,215?
A) 49,875
B) 512,345
C) 475,195
D) 489,123
E) 47,000
Answer:
[tex]A). 49,875 \\
and \\
E). 47,000 \\ [/tex]
Simplify 4^3* 4^5 please help me
Answer:
C.
Step-by-step explanation:
add the numbers (power numbers)
=4^8
Find the value of x for the given square.
8x - 5
3x + 20
x= ?
Answer:
I am not 100% sure but I believe it is 45
Dave buys three CDs and two DVDs for $67. Joyce buys two CDs and four
DVDs for $90.
(4 pts.)
What is the price of one CD? One DVD?
Answer:
6 for one CD and 5 for one DVD
Step-by-step explanation:
Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.
What is m angle D?
Answer:
m∠D = 14
Step-by-step explanation:
According to the vertical angle theorem, both of these angles are congruent.
This means that they are equal (m∠C = m∠D) and we can solve for x:
m∠C = m∠D
-x + 26 = 2x - 10 (substitute in the equations)
-3x + 26 = -10 (subtract 2x from both sides)
-3x = -36 (subtract 26 from both sides)
x = 12 (divide both sides by -3)
Now that we know what x is, we can find m∠D by plugging it back into the equation:
m∠D = 2x - 10
m∠D = 2(12) - 10 (substitute the value for x in)
m∠D = 24 - 10
m∠D = 14
The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Angle C and angle D are vertical angles with m∠C = -x + 26 and m∠D = 2x - 10.
∠C = ∠D
-x + 26 = 2x - 10
3x = 36
x = 12
Then the measure of the angle D will be
m∠D = 2x - 10
m∠D = 2(12) - 10
m∠D = 24 - 10
m∠D = 14°
The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.
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what is 13x+2-17=11
Answer:
Pretty sure x = 2
Step-by-step explanation:
If not, shoot me. Why not.
What is the measurement of <1?
Answer:
angle 1 = 135 degrees
Step-by-step explanation:
Help ASAP !!!!!!!!!!!!!!
Answer:
A. 3
Step-by-step explanation:
On the planet Umpt, there are 14 boondins to every 6 totts. If farmer
Coraz has 80 boondins on his elentire farm, how many totts are on the
farm?
No decimals. Use a mixed number if needed.
Answer:
6720
Step-by-step explanation:
The side length of a cube can be represented by the expression 2x⁵. If the sifr length is doubled, write an expression to represent the new volume of the cube.
Answer:
64x⁸
Step-by-step explanation:
Given l=2x⁵
When side length is doubled,
It becomes 4x⁵
Now volume of cube is a³
New volume=(4x⁵)³
=64x⁵⁺³
=64x⁸
What is an equation of the line that passes through the points (-4, -5) and
(-3, -2)? Put your answer in fully reduced form.
Pls help answer
Answer:
y=3x+7
Step-by-step explanation:
see the attached above
The Monkey and the Cookie Jar
Once there was a monkey who found a jar full to the brim with cookies. He eyed them hungrily, and shoved his hand into the jar, grabbing as many as he little paw could hold. But when he went to remove his hand from the jar, he couldn’t get it out. His hand was too full of cookies. Unwilling to lose the cookies, and yet not able to get his hand out, the monkey burst into tears.
THEME: ________
Golden Line explanation: _______
Read each fairy tale or short story. (1) Identify the theme of the passage. (2) highlight phrases in the fairy tale that support your theme choice, and (3) write two sentences explaining how those Golden Lines support your theme choice.
Answer:
The theme is the monkey and the cookie jar
Step-by-step explanation:
The golden line is he was unwillingly not letting the cookies go but couldn't get his hand out
This is the golden line explanation because you can learn a lesson from this story. The lesson is to not be stubborn.
Please mark me as brainliest since I'm the one that actually answered your question
Which of the following is an example of a rational number that is not an integer?
4 , 0 , 1/5
Answer:
4
Step-by-step explanation:
You just bought a car and need to expand your driveway by pouring more concrete. If the dimensions of the addition are 11ft by 6.5ft how many square feet of concrete do you need to pour?
Write the equation of a line that is parallel to the line-y=-x+6
Answer:
y=x-5
Step-by-step explanation:
y=mx+b
if lines are parallel then that means the slope (m) is the same so the only thing left to change is the y-intercept (b). this can be anything but probably shouldn't be what the original was