Answer:
victor solved the equation correctly because you have to isolate the x and in order to do that you have to divide both sides by 5
1. If m=1/2 and b=-4, what is the equation of the line?
Answer:
y=1/2x-4
Step-by-step explanation:
Find the difference.
60°
30°
40"
50"
40
Jordan has traveled 255 miles out of 340 miles on a trip. What percent of the total distance has he traveled?
A. 73%
B. 82%
C.75%
D. 70%
Answer:
Step-by-step explanation:
jordan traveled 255 miles out of 340 miles
340 miles.........................100 %
255 miles.......................... ?
255*100=2500/340=73%
See attachment for math work and answer.
HELP THIS IS DUE TODAY!
Answer:
I think its B
Step-by-step explanation:
I hope it helps
what changes in a wave to make a sound high pitch or low pitch?
Answer:
Volume is dependent on how hard the air is pushed through. Sound travels more slowly than light. Sound waves travel at the same speed, but vibrate in different ways. Some vibrate quickly and have a high frequency or pitch, while others vibrate slowly and give a lower pitch.
Step-by-step explanation:
I hope this helps :)
A store pays $81 for a hockey stick and marks the price up by 5%. What is the amount of the mark-up?
Simplify 12x^7y^3 divided by 6x^3y
Answer:
2y^3x^7-3y
Step-by-step explanation:
I had the same problem on my test and got it right trust me
The expression 12(x⁷)(y³) divided by 6(x³)(y) is equal to 2x⁴y².
What is a polynomial?An expression that consists of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.
To simplify the expression, we can divide the coefficients and subtract the exponents of the variables with the same base.
Therefore:
12(x⁷)(y³) divided by 6(x³)(y)
= (12/6)(x⁽⁷⁻³⁾(y⁽³⁻¹⁾)
= 2x⁴y²
Therefore, 12(x⁷)(y³) divided by 6(x³)(y) is equal to 2x⁴y².
To learn more about Polynomials;
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What is the value of a?
–31
–7
–5
–1
Answer:
i think its -31
Step-by-step explanation:
if im wrong im sorry
Answer:
D. -1
Step-by-step explanation:
Edge
What is the perimeter of a triangle with sides
14 inches, 8 inches, and 16 inches in length?
Answer:
38 inches
Step-by-step explanation:
just add them all together.
what are the 3 ways to determine if ratios are
equal to each other?
(-3.2)(-1.72) Write your answer to the nearest tenth
Answer:
5.5
Step-by-step explanation:
Answer: actually 5.504 rounded to 5.5
Step-by-step explanation:
For positive acute angles AA and B,B, it is known that \tan A=\frac{28}{45}tanA= 45 28 and \cos B=\frac{3}{5}.CosB= 5 3 . Find the value of \cos(A+B)cos(A+B) in simplest form.
Answer:
[tex]\cos(A + B) = \frac{23}{265}[/tex]
Step-by-step explanation:
Given
[tex]\tan A=\frac{28}{45}[/tex]
[tex]\cos B=\frac{3}{5}[/tex]
Required
[tex]\cos(A+B)[/tex]
In trigonometry:
[tex]\cos(A+B) = \cos\ A\ cosB - sinA\ sinB[/tex]
We need to solve for cosA, sinA and sinB
Given that:
[tex]\tan A=\frac{28}{45}[/tex] and the tangent of an angle is a ratio of the opposite side (x) to the adjacent side (y),
So, we have:
[tex]x =28[/tex] and [tex]y = 45[/tex]
For this angle A, we need t calculate its hypotenuse (z).
Using Pythagoras,
[tex]z^2 = x^2 + y^2[/tex]
[tex]z = \sqrt{x^2 + y^2[/tex]
[tex]z = \sqrt{28^2 + 45^2[/tex]
[tex]z = \sqrt{2809[/tex]
[tex]z = 53[/tex]
From here, we can calculate sin and cos A
[tex]\sin A= \frac{opposite}{hypotenuse}[/tex] and [tex]\cos A= \frac{adjacent}{hypotenuse}[/tex]
[tex]\sin A= \frac{x}{z}[/tex]
[tex]\sin A= \frac{28}{53}[/tex]
[tex]\cos A= \frac{y}{z}[/tex]
[tex]\cos A= \frac{45}{53}[/tex]
To angle B.
Give that
[tex]\cos B=\frac{3}{5}[/tex] and the cosine of an angle is a ratio of the adjacent side (a) to the hypotenuse side (c),
So, we have:
[tex]a = 3[/tex] and [tex]b = 5[/tex]
For this angle B, we need to calculate its opposite (b).
Using Pythagoras,
[tex]c^2 = a^2 + b^2[/tex]
[tex]5^2 = 3^2 + b^2[/tex]
[tex]25 = 9 + b^2[/tex]
Collect like terms
[tex]b^2 = 25 - 9[/tex]
[tex]b^2 = 16[/tex]
[tex]b = \sqrt{16[/tex]
[tex]b = 4[/tex]
From here, we can calculate sin B
[tex]\sin B= \frac{opposite}{hypotenuse}[/tex]
[tex]\sin B = \frac{b}{c}[/tex]
[tex]\sin B = \frac{4}{5}[/tex]
Recall that:
[tex]\cos(A+B) = \cos\ A\ cosB - sinA\ sinB[/tex]
and
[tex]\cos B=\frac{3}{5}[/tex] [tex]\sin B = \frac{4}{5}[/tex] [tex]\sin A= \frac{28}{53}[/tex] [tex]\cos A= \frac{45}{53}[/tex]
[tex]\cos(A + B) = \frac{45}{53} * \frac{3}{5} - \frac{28}{53} * \frac{4}{5}[/tex]
[tex]\cos(A + B) = \frac{135}{265} - \frac{112}{265}[/tex]
[tex]\cos(A + B) = \frac{135-112}{265}[/tex]
[tex]\cos(A + B) = \frac{23}{265}[/tex]
The value of [tex]\cos (A+B)[/tex] is [tex]-\frac{96}{265}[/tex].
Trigonometrically speaking, the sine, cosine and tangent of an angle are described by the following formulas:
[tex]\sin \theta = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex] (1)
[tex]\cos \theta = \frac{x}{\sqrt{x^{2}+y^{2}}}[/tex] (2)
[tex]\tan \theta = \frac{y}{x}[/tex] (3)
Where:
[tex]\theta[/tex] - Angle, in sexagesimal degrees.[tex]x[/tex] - Adjacent leg.[tex]y[/tex] - Opposite leg.And we have the following trigonometric identity for the cosine of the sum of angles:
[tex]\cos (A+B) = \cos A\cdot \cos B - \sin A \cdot \sin B[/tex] (4)
By (1) and (2), we rewrite (4):
[tex]\cos (A+B) = \frac{x_{A}\cdot x_{B}}{\sqrt{x_{A}^{2}+y_{A}^{2}}\cdot \sqrt{x_{B}^{2}+y_{B}^{2}}} - \frac{y_{A}\cdot y_{B}}{\sqrt{x_{A}^{2}+y_{A}^{2}}\cdot \sqrt{x_{B}^{2}+y_{B}^{2}}}[/tex]
If we know that [tex]x_{A} = 28[/tex], [tex]y_{A} = 45[/tex], [tex]x_{B} = 3[/tex] and [tex]y_{B} = 4[/tex], then the cosine for the sum of angles is:
[tex]\cos (A+B) = \frac{28\cdot 3}{\sqrt{28^{2}+45^{2}}\cdot \sqrt{3^{2}+4^{2}}}-\frac{45\cdot 4}{\sqrt{28^{2}+45^{2}}\cdot \sqrt{3^{2}+4^{2}}}[/tex]
[tex]\cos (A+B) = -\frac{96}{265}[/tex]
The value of [tex]\cos (A+B)[/tex] is [tex]-\frac{96}{265}[/tex].
We kindly invite to check this question on trigonometric identities: https://brainly.com/question/24836845
A popumation of bacteria quadruples (x4) every hour, the initial population is 30.
A.) Find the population at the end of seven hours.
B.) After how many hours will the population equal 7,864,320?
An item is regularly priced at $75. It is now priced at a discount of 35% off the regular price. Find the price now.
Answer:
48.75
Step-by-step explanation:
Do the equations x + y = -2 and 3x + 3y = −6 define the same line? Explain.
Answer:
Yes, they do.
Step-by-step explanation:
They both pass through the same points of -2 on the x and y axis.
I dont know the answer please help
Answer:
the answer is E because the shape is still in the same directions, so it wasn't reflected it was just translated
Step-by-step explanation:
BRAINILIEST
Clara ran 10 miles, which was twice as far as Nina ran. How far did Nina run?
can someone help me
Answer:
A is a function
Step-by-step explanation:
Hope the image helps.
(1/a-1 )+ 2a/1-a^2
Answer
Please show the steps
Answer:
boop boop beep bop
Step-by-step explanation:
Im nice heheh
roight?
really need help with this
Calculate the measure of ∠ PMU and ∠ UPM.
m∠ PMU =
m∠ UPM =
Answer:
The Exterior Angle Theorem states that the measure of the exterior angle of a triangle is
equal to the sum of the measures of the two remote interior angles of the triangle. Angle
PMU is an exterior angle to nPBM and its corresponding remote interior angles are /PBM
and /BPM. So, I can calculate the sum of those two angle measures to find the measure
of /PMU
Step-by-step explanation:
A customer has a credit card that charges 18% simple interest every year. How much interest will the customer save
by paying off a credit card debt of $5,000 at the end of 1 year instead of at the end of 3 years?
The customer will save interest by paying off a credit debt is $1,800 at the end of 1 year instead of at the end of 3 years
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
A customer has a credit card that charges 18% simple interest every year.
The customer saves by paying off a credit card debt of $5,000 at the end of 1 year instead of at the end of 3 years.
Interest for three years will be
[tex]\rm A_3 = \dfrac{PRT}{100}\\\\\\A_3= \dfrac{5000*18*3}{100}\\\\\\A_3= 2700[/tex]
Interest for one year will be
[tex]\rm A_1 = \dfrac{PRT}{100}\\\\\\A_1= \dfrac{5000*18*1}{100}\\\\\\A_1= 900[/tex]
The saved amount will be
A = A₃ - A₁
A = 2700 - 900
A = 1800
The customer will save interest by paying off a credit debt is $1,800 at the end of 1 year instead of at the end of 3 years
More about the simple interest link is given below.
https://brainly.com/question/2793278
Find the measure of each angle indicated. HELPPP PLEASE
Answer:
2
Step-by-step explanation:
Answer:
they equal 360 so add all and minus that by 360 like for example its 160 total minus 360-160
Step-by-step explanation:
Pls help me i'm so confused with this ;-;
Draw the solution set for each of the following inequalities.
Answer:
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Step-by-step explanation:
20x-4y=36 solve for y
need help plz
Answer:
5x-9
Step-by-step explanation:
-2.5(x-4)=-3+4
What is the solution to the equation
thank me the answer is x=3.6
Hi please help :D it says 'toO sHorT' so just ignore this next part jhdvwbfyugbwcqiugbn
HURRY!!!! A summer camp is providing breakfast for 350 children that includes a 6 ounce serving of sausage per student. The camp can only purchase sausage in whole 1 pound packages. Note: 1 pound = 16 ounces? PLEASE I NEED HELP
Answer:
132 whole 1 pound packages.
Step-by-step explanation:
6 ounces times 350* equals 2100 ounces, so the summer cap needs 2100 ounces of sausage to feed all 350 children. We already know there are 16 ounces per pound. 16 x 131 equals 2096. Remember, it takes 2100 ounces to feed all 350 children. The summer camp will have to buy 132 packages to exceed 2100 without having additional whole packages.
*this number represents the amount of children
The camp needs to buy 132 packets of sausage to serve 350 students.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A summer camp is providing breakfast for 350 children that include a 6-ounce serving of sausage per student.
So, The total amount of sausages is,
= 6×350 ounces.
= 2100 ounces.
Also given, sausages come in 1 pound pack.
Therefore, The number of packets required is,
= (2100/16).
= 131.25 but they have to buy 132 packets.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ6
NEED HELP MARKING PEOPLE AS BRAINLIST ANDWER IF YOU KNOW
Answer:
it will be C) SAS(side angle side)
Maeve has 40 cups of apple juice. She uses 5/8 of the juice to make punch. She then uses the remaining juice to pour single servings that are 1/5 cup each. How many single servings does Mandy pour?
Answer:
75 single servings
Step-by-step explanation:
First multiply
40*5/8
You’ll get 25
now 40-25=15
Using 15
15 divided by 1/5
15÷1/5
keep change flip
15*5
75
Answer:
75 servings
Step-by-step explanation:
1. Form an equation
As per the given information;
- starts with 40 cups of juice
- uses 5/8 of the juice
-Splits the remaining serving amongst people, giving each person (1/5) of a cup
Hence the equation is;
(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]
2. Solve the equation
(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]
Simplify;
(40 - 25) ÷ [tex]\frac{1}{5}[/tex]
Dividing by a fraction is the same as multiplying by the fraction's reciprocal;
(40 - 25) * 5
Follow the order of operations, remember the order of operations are;
1. parenthesis
2. exponents
3. multiplication, division
4. addition, subtraction
Parenthsis first
(40 - 25) * 5
15 * 5
Multiply next
15 * 5
75