Answer:
The two numbers are 40 and 3
Step-by-step explanation:
Assume that the first number is x and the second number is y
∵ Four tenths = [tex]\frac{4}{10}[/tex] = 0.4
∵ One tenth = [tex]\frac{1}{10}[/tex] = 0.1
∵ Four tenths of 1st number increased by the 2nd number equals 19
∵ The 1st number = x and the 2nd number = y
∴ 0.4x + y = 19 ⇒ (1)
∵ One tenth of the 1st number decreased by the 2nd number is equal to 1
∴ 0.1x - y = 1 ⇒ (2)
Now we have a system of equations to solve it
→ Add equations (1) and (2) to eliminate y
∵ (0.4x + 0.1x) + (y + -y) = (19 + 1)
∴ 0.5x + 0 = 20
∴ 0.5x = 20
→ Divide both sides by 0.5 to find x
∵ [tex]\frac{0.5x}{0.5}[/tex] = [tex]\frac{20}{0.5}[/tex]
∴ x = 40
→ Substitute the value of x in equation (1) or (2) to find y
∵ 0.4(40) + y = 19
∴ 16 + y = 19
→ Subtract 16 from both sides
∴ 16 - 16 + y = 19 - 16
∴ y = 3
∴ The two numbers are 40 and 3
round to 3 SF 7.8436 its urgent
when given an equation were is m located dealing with slope
Answer: M is attached to x
Step-by-step explanation:
The equation in standard form is y = mx +b
m is attached and is modifying the value of x
(2) A store is having a 20%-off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain your reasoning. *
Answer:
$65
Step-by-step explanation:
Let
x = original price of the item
Mai buys one item and saves $13,
This means 20% of the original price of the item = $13
20% of x = 13
20/100 * x = 13
0.2 * x = 13
0.2x = 13
Divide both sides by 0.2
x = 13 / 0.2
= 65
x = $65
Therefore, the original price of the item is $65
A weather station on the top of a mountain reports that the temperature is currently and has
been falling at a constant rate of per hour. Find each temperature. Explain or show your
reasoning.
What was the temperature?
D. An hour ago?
E. 3 hours ago?
F. 4.5 hours ago?
Answer:
1 hour ago-0*C3
hours ago-(-3*C)
4.5 hours ago- (-9*C
What is the factored form of the binomial expansion 81x2 + 144xy + 64y2?
(9x – 8y)2
(9x + 8y)2
(3x – 4y)2
(3x + 4y)2
Find the sum of the following nine products: 1 × (10 – 1), 2 × (10 – 2), 3 × (10 – 3), … , 9 × (10 – 9)
Answer:
9, 16, 21, 9
Step-by-step explanation:
I hope this help and it was going in order
Answer:
165
Step-by-step explanation:
We solve the first 5
1*(10-1)=9
2*(10-2)=16
3*(10-3)=21
4*(10-4)=24
5*(10-5)= 25
and notice
when you go from 6 on its getting the same number because say 3*(10-3) = 3*7 and 7*(10-7) = 7*3 and 7*3 = 3*7 so
You add the first 5 integer you solved up
9 16 21 24 25 = 95
and then you double it no extra 25
and then you get 165 = answer
can you guys help me please ?
Answer:
4x + 12 = -4
4x = -16
x = -4
Step-by-step explanation:
Have a great day :)
Which lists all of the x-ontercept of the graphed function 0,6
Answer:
The answer is C, because those are the points that cross the x-axis.
Step-by-step explanation:
Answer: C
Step-by-step explanation:
When you look at the graph, you can see that all the points are listed where they should be
Mrs. Booker's meal at Chick-fil-A costs $16.78.
The tax on the meal is 6%. How much was her
total bill, including tax?
Answer:
17.79
Step-by-step explanation:
16.78*1.06=17.886
The expression (x^3)(x^−17) is equivalent to xn. What is the value of n?
Answer:
-14Step-by-step explanation:
(x^3)(x^−17) =x^(3 - 17) =x^-14n = -14n = -14
(x^3)(x^−17) =
x^(3 - 17) =
x^-14
Please help!
Rewrite the rational exponent as a radical. (2 points)
Answer:
Answer: 3) [tex]\sqrt{5}[/tex]
Step-by-step explanation:
Radical Form and Exponent Form
A radical can be expressed as a rational exponent following the identity:
[tex]\displaystyle \sqrt[m]{x^n}=x^\frac{n}{m}[/tex]
We should also recall that:
[tex](x^n)^m=x^{nm}[/tex]
We are given the expression:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}[/tex]
Applying the power of power:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\left(5^{\frac{3}{4}\cdot \frac{2}{3}}\right)[/tex]
Simplifying:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=5^{\frac{1}{2}}[/tex]
Converting to radical form:
[tex]\displaystyle \left(5^{\frac{3}{4}}\right)^\frac{2}{3}=\sqrt{5}[/tex]
Answer: 3) [tex]\sqrt{5}[/tex]
What’s the value of y ?
Add 15.438 and 3.18. And subtract that answer from 32.476.
Answer:
-13.858 !!!
Step-by-step explanation:
How would you graph the solution set of x + 4 > -9?
Answer:
x>-5
Step-by-step explanation:
-9 - -4 =-5
x>-5
↝ Graph from Number Line ↝
x + 4 > -9
x + 4 + 9 > 0
x + 13 > 0
x > -13
↝ Then we plot a dot/small circle (open dot) at -13 then straight draw a line from -13 to the right. (Shown in the picture)
HELP PLSSSSSSSSSS:( DUE SOON
Answer:
3) x = 21.33
4) x = 33
5) x = 11
Step-by-step explanation:
3: (3x + 17) + (x + 40) + (2x - 5) = 180
6x + 52 = 180
6x = 128
x = 21.333...
4: 180 / 3 = 60
3x - 39 = 60
3x = 99
x = 33
5: 90 + (6x + 7) + (2x - 5) = 180
8x + 2 = 90
8x = 88
x = 11
Solve the equation 5x+9=1
Answer:
x = -1.6
Step-by-step explanation:
Original equation:
5x + 9 = 1
Subtract 9 from both sides
5x = -8
Divide both sides by 5
x = -1.6
Hope this helps :)
Please consider Brainliest :)
(x+1)(x+5)≤0
Solve and write solution in interval notation
Answer:
just multiply first x+1 to x+5 then add and subtract
explain the benefits of each of the three forms of quadratic equations, standard form, vertex form, and factored form. What do they reveal about the graph or the quadratic?
Answer:
Summary:
Standard form allow us to quickly find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Step-by-step explanation:
The three forms of quadratics are the standard form, vertex form, and the factored form. Each of them reveals a specific part about the quadratic.
Standard Form:
The standard form of a quadratic is:
[tex]ax^2+bx+c[/tex]
There are only two details that can be conveyed by a quadratic in standard form immediately: (1) the leading coefficient a, and (2) the y-intercept.
The leading coefficient a will tell us if the parabola curves upwards or downwards.
And the constant c will give us the y-intercept.
Vertex Form:
The vertex form of a quadratic is:
[tex]a(x-h)^2+k[/tex]
There are also two details that can be conveyed by a quadratic in vertex form: (1) the vertex, and (2) the leading coefficient.
The leading coefficient is given by a. Again, this tells us the orientation of the parabola.
And the vertex is given by (h, k).
Hence, in my opinion, vertex form is the best form of a quadratic since it immediately reveals the vertex, the most important aspect of a quadratic.
Factored Form:
The factored form of a quadratic is:
[tex]a(x-p)(x-q)[/tex]
Where p and q are the zeros/roots/solutions of the quadratic.
Again, factored form gives us two details about the quadratic: (1) the leading coefficient, and (2) the zeros.
The zeros tells us when the parabola crosses the x-axis, which can assist in graphing.
Summary:
Therefore, each form of a quadratic equation has its own benefits.
Standard form allow us to find the y-intercept.
Vertex form allow us to quickly locate the vertex.
And factored form allows us to quickly determine the roots/zeros.
Hence, depending on the question, each form can be useful in its own way.
please help find the top angle
Answer:
130 degrees
Step-by-step explanation:
So u can see those little lines on two of the sides of the triangle, it means that it's congruent also meaning the same length, and if u didn't, the angles had to be the same in order for the sides to be the same length. So the other missing angle degree is also 25 degrees. A triangle is 180 degrees, so with this info:
25 + 25 + 4x + 2 = 180
4x + 52 = 180
4x = 128
x = 32, now we have x so replace the x in the equation with 32
4(32) + 2
128 + 2
130
The sum of a number times 6 and 17 is at most 21.
Answer:
? that makes no sense
Step-by-step explanation:
Answer:
n × 6 + 17 ≤ 21
Write the equation of a line that is perpendicular to the graph of y = 1/2 x + 3, and passing through the point (-3, 5). Show work
Answer:
Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6. Thus, the equation of the line is y = ½x + 6.
Step-by-step explanation:
PLEASE HELP FAST WILL MARK AS BRAINLIEST IF GIVEN GOOD ANSWER
Answer:
y=22.1
Notice how 24.7 and 11.7 are 1.3 times larger than the corresponding sides in the smaller triangle. Therefore, 17 times 1.3 should give us our y value.
17 x 1.3=22.1
22.1=y
Step-by-step explanation:
what is the coeffcients of 3m + 5 = 1
PLEASE
The simple interest formula is I=Prt, where I is the interest, P is the principal, r is the interest rate, and t is the time.
What is the interest rate if the principal is $25,000, the interest is $10,875, and the time is 15 years?
Answer:
$40781250
Step-by-step explanation:
Okay so the formula for simple interest is: I = P x T x R divided by 100
25000 x 10875 x 15 = 4078125000 / 100 = $40781250
If you have the multiple choice answers:
A. $160
B. $200
C. $1600
D. $16,000
the answer is C. $1600
here's why:
The principal is $10,000, the interest rate is 2%, and the time is 8 years.
I = Prt
= $10,000 · 2% ⋅ 8
= 10,000 ⋅ 0.02 ⋅ 8
= 1600
So, the interest earned is $1600.
Determine the slope of the line that passes through these points (3,9) and (-7,11)
Answer:
-5
Step-by-step explanation:
To calculate the gradient of the slope, we have to calculate the [tex]\frac{rise}{run}[/tex].
[tex]\frac{3-(-7)}{9-11}[/tex] = [tex]\frac{3+7}{-2}[/tex]
[tex]\frac{3+7}{-2}[/tex] = [tex]\frac{10}{-2}[/tex]
[tex]\frac{10}{-2}[/tex] = -5
Which of the following must be true in order to write a bi-conditional statement?
A.) the conditional statement
B.) both the conditional statement and its converse
C.) the converse of the conditional statement
D.) neither the conditional statement nor its converse
Answer: B.) both the conditional statement and its converse .
Explanation: In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.
The required solution is both the conditional statement and its converse.
It is required to choose the correct statement.
What is conditional statement ?A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.
Given:
In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.
Biconditional Statement Examples:
The polygon has only four sides if and only if the polygon is a quadrilateral.
Therefore, the required solution is both the conditional statement and its converse .
Learn more details about conditional statement here:
https://brainly.com/question/18152035
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Determine whether the ordered pair (0, 2) is a solution to the equation -2x + y = -1
O No, (0, 2) is not a solution.
O Yes, (0, 2) is a solution
Answer:
O Yes, (0, 2) is a solution
Step-by-step explanation:
The Solution of an Equation
Given the equation
-2x + y = -1
An ordered pair (a,b) is a solution of the equation if
-2a + b = -1
Let's test the point (0,2) to check if it's a solution of the equation:
Replacing x=0, y=-1
-2(0) + (-1) = -1
0 - 1 = -1
-1 = -1
Since the equation is satisfied, the pair (0,2) is a solution.
Answer: O Yes, (0, 2) is a solution
Answer:
No, (0, 2) is not a solution.
Step-by-step explanation:
I did the test
can someone help me this is algebra 1
Jada is buying a car and the cost is c + 400 = 36,000 where c is the price of the car and 270 is the registration fee but in the end 36000 was paid.
c + 400 = 36,000
1. Avery multiplies both sides of the equation by 2 while her brother Jaxon adds 2,000 to both sides of the equation. Will both moves leads to the SAME solution for the equation? Ensure math evidence is shown or included in your response when you explain your reasoning.
2. What is the solution?
Answer:
hi do You have tiktok?mm
A building 78 feet tall casts a shadow 64 feet long. Find the measure of the angle of elevation of
the sun?. Draw a right triangle and round to the nearest tenth of a degree.
Answer:
50.6°
Step-by-step explanation:
The reference angle = angle of elevation [tex] (\theta) [/tex]
Side opposite to the reference angle = 78 ft
Adjacent side = 64 ft
Applying trigonometric ratios formula, we would have:
[tex] tan(\theta) = \frac{opposite}{adjacent} [/tex]
Plug in the values
[tex] tan(\theta) = \frac{78}{64} [/tex]
[tex] tan(\theta) = 1.21875 [/tex]
[tex] \theta = tan^{-1}(1.21875) [/tex]
[tex] \theta = 50.6 [/tex] (nearest tenth)
2. A bag of trail mix weighs 2 pounds. By weight, 18% of the mix is oats. (a) Use the 10 by 10 grid to represent 2 lb of trail mix. Determine how much weight each square represents and label all the squares. Then, shade in 18% of the grid. (b) What is the weight of the oats in the trail mix? Show your work and label your answer. Answer:
Answer:
Weight of EACH square = 0.2 pounds
18% oat = 0.36 pounds
Step-by-step explanation:
Given that:
Weight of bag = 2 lb
Percentage of oat in mix = 18%
% of the mix is oats. (a) Use the 10 by 10 grid to represent 2 lb of trail mix. Determine how much weight each square represents and label all the squares. Then, shade in 18% of the grid. (b) What is the weight of the oats in the trail mix? Show your work and label your answer. Answer:
If trail mix is represented by 10 by 10 square grid ;
Each square represents : 2 pounds / 10 = 0.2 pounds
18% of the total weight
0.18 * 2 = 0.36 pounds