Answer:
25 < 6.76 + 4.80t
Step-by-step explanation:
The order has to be over 25 dollars so 25 dollars is less than the order.
He spends 6.78 dollars for a collar, so that will be part of the order. We don't know what the total cost of all the treats is, but we know that it is 4.80 dollars per bag. So 4.80t represents the cost for t amount of treat bags.
Step-by-step explanation:
what is the factored form of x2-6x-16 ?
Answer:
(x + 2)(x - 8)Step-by-step explanation:
Factorize
x^2 - 6x - 16 =x^2 + 2x - 8x - 16 = x(x + 2) - 8(x + 2) =(x + 2)(x - 8)How do i write 2x+3y=24 as slope-intercept form?
Answer:
y = - [tex]\frac{2}{3}[/tex] x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x + 3y = 24 ( subtract 2x from both sides )
3y = - 2x + 24 ( divide all terms by 3 )
y = - [tex]\frac{2}{3}[/tex] x + 8 ← in slope- intercept form
The equation 2x+3y=24 in the slope-intercept form can be written as [tex]y = -\frac{2}{3}x+8[/tex]
From the question,
We are to write the given equation in the slope-intercept form
The slope-intercept form of an equation of straight line is written as
y = mx +c
To write the equation, 2x+3y=24, in the slope-intercept form, we will make y the subject of the equation
[tex]2x+3y=24[/tex]
First, subtract 2x from both sides of the equation
That is,
[tex]2x -2x +3y = 24 -2x[/tex]
This becomes
[tex]3y = 24 -2x[/tex]
Now, divide both sides by 3
[tex]\frac{3y}{3} =\frac{24-2x}{3}[/tex]
∴ [tex]y = \frac{24}{3}-\frac{2x}{3}[/tex]
[tex]y = 8-\frac{2}{3}x[/tex]
In the slope-intercept form, we get
[tex]y = -\frac{2}{3}x+8[/tex]
Hence, the equation 2x+3y=24 in the slope-intercept form can be written as [tex]y = -\frac{2}{3}x+8[/tex]
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Kaj bought three pounds of strawberries for $7.20. What is the price, in dollars per ounce of strawberries?
Answer:
The amount per pound would be:
$2.40
Step-by-step explanation:
720 divided by 3 = 240
We can then conclude that:
$7.20 divided by 3 = $2.40
Have a great rest of your day
#TheWizzer
Answer:
0.15 dollars, of 15 cents (I believe)
Step-by-step explanation:
3 pounds, 16 oz per pound is 48 oz. 7.20 divided by 48 oz is 0.15, which should be equal to 15 cents. Hope this helps :)
Select the correct answer.
Which of the equations below represents a line perpendicular to the x-axis?
ОА.
I = 3
ОВ.
= 3y
OC.
=y
OD.
I = -3y
Reset
Next
Answer
The anwser is B
Step-by-step explanation:
I did this test as well earlier this year
Equation x=3 represents a line perpendicular to the x-axis. Therefore, the correct answer is option A.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
here, we have,
A) x=3
Graph the line using the slope and y-intercept, or two points.
Slope: Undefined
y-intercept: No y-intercept
The coordinate points are (3, 0) and (3, 1).
B) Graph the line using the slope and y-intercept, or two points.
Slope: 1
y-intercept: (0,0)
The coordinate points are (0, 0) and (1, 1)
C) x=y
Graph the line using the slope and y-intercept, or two points.
Slope: 1
y-intercept: (0,0)
The coordinate points are (0, 0) and (1, 1)
D) x=-3y
Graph the line using the slope and y-intercept, or two points.
Slope: -1/3
y-intercept: (0,0)
The coordinate points are (0, 0) and (-3, 1)
Therefore, option A is the correct answer.
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Paula's kitten weighs 3 1/2 pounds. Write this weight in the boxes using pounds and ounces.
Answer:
3 pounds and 8 ounces
Step-by-step explanation:
1 pound is 16 ounces, 1/2 pound is 8 ounces.
If you need further help, let me know!
-profparis
A video game store allows customers to rent games for $5 each. Customers can also buy a membership for $50 annually, and video games would only cost $2.50 each. Write and solve an equation to find the number of video games a customer would have to rent in a year in order for the two options to be equal.
Answer:
20 games
Step-by-step explanation:
Given
Customers:
[tex]Rent = \$5[/tex] per game
Members:
[tex]Membership = \$50[/tex]
[tex]Rent = \$2.50[/tex] per game
Required
Determine number of games for both to be equal
Represent the number of games with g
For regular customers;
g games cost: [tex]5 * g[/tex]
For Members
g games cost: [tex]50 + 2.50 * g[/tex]
Equate both expressions:
[tex]5 * g = 50 + 2.50 * g[/tex]
[tex]5g = 50 + 2.5 g[/tex]
Collect like terms
[tex]5g -2.5g= 50[/tex]
[tex]2.5g= 50[/tex]
Solve for g
[tex]g = 50/2.5[/tex]
[tex]g = 20[/tex]
Write and evaluate the expression. Then, select the correct answer. The sum of forty-five and a number; evaluate when n = 1. 1 45n; when n = 1. 1, the value is 49. 5. 45 n; when n = 1. 1, the value is 46. 1. 45 – n ; when n = 1. 1, the value is 43. 9. StartFraction n Over 45 EndFraction; when n = 1. 1, the value is 0. 24.
The sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1
What is an Expression?
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The statement that is given to us is" the sum of forty-five and a number", therefore, the expression that will represent this can be written as,
45 + n,
Now, if the value of n is 1.1. Then the sum will be,
[tex]45+n\\\\=45+1.1\\\\=46.1[/tex]
Hence, the sum of forty-five and a number n is 46.1, and the expression that can represent this can be written "45+n" where the value of n is 1.1
Learn more about Expression:
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Find the Surface of the prism 4in 10 in and 18in
Answer:
Step-by-step explanation:
total surface area = 584 m2
lateral surface area = 504 m2
top surface area = 40 m2
bottom surface area = 40 m2
Could someone help me, please
Answer:
Q1: No solutions
Q2: x=2, y=-2
Q3: x=1, y=4
Step-by-step explanation:
Q1: Found out 0y = 18 which is impossible therefore no solution.
Q2:
In the first equation: [tex]2x - 4y = 12[/tex]
Let's express x in terms of y by changing the subject. Follow my steps.
[tex]2x = 12+4y[/tex]
[tex]x = \frac{12+4y}{2}[/tex]
Now let's put the x above into the second equation: [tex]-14x-4y=-20[/tex]
It becomes: [tex]-14(\frac{12+4y}{2})-4y=-20[/tex]. Follow my steps.
[tex]-7(12+4y)=-20+4y[/tex]
[tex]-84-28y=-20+4y[/tex]
[tex]-32y=64[/tex]
[tex]y=-2[/tex]
Put y = -2 into the first equation:
[tex]2x-4(-2)=12[/tex]
[tex]2x+8=12[/tex]
[tex]2x=12-8[/tex]
[tex]2x=4[/tex]
[tex]x=2[/tex]
Q3:
Multiply the first equation by 3 and the second equation by 7, so that both are 21x.
1st equation:
[tex]3(7x-3y)=3(-5)[/tex]
[tex]21x-9y=-15[/tex]
2nd equation:
[tex]7(3x+2y) = 7(11)[/tex]
[tex]21x+14y = 77[/tex]
We can now substract the 2nd equation with the 1st equation so that both 21x cancels out and only the variable y remains.
[tex]21x-9y-(21x+14y)=-15-77[/tex]
[tex]21x-9y-21x-14y=-92[/tex]
[tex]-23y=-92[/tex]
[tex]y=4[/tex]
Put y = 4 into the second equation to find x.
[tex]3x+2(4)=11[/tex]
[tex]3x+8=11[/tex]
[tex]3x=11-8[/tex]
[tex]3x = 3[/tex]
[tex]x=1[/tex]
Does a right triangle exist where sin A = sin B = cos A = cos B, where A and B are the two acute angles of the triangle? Provide evidence to support your conclusion, and if possible, find the measures of angles A and B.
Answer:
Step-by-step explanation:
When you list the trigonometic ratios for both acute angles in a right triangle, you notice some interesting developments.
Let's concentrate on sine and cosine:
Observation from the table above: notice1
In a right triangle, the sine of one acute angle, A, equals the cosine of the other acute angle, B.
If ∠A and ∠B are the acute angles of a right triangle,
sin A = cos B
Since the measures of these acute angles of a right triangle add to 90º, we know these acute angles are complementary. ∠A is the complement of ∠B, and ∠B is the complement of ∠A.
If we write, m∠B = 90º - m∠A (or m∠A = 90º - m∠B ), and we substitute into the original observation, we have:
notice4
If θ is substituted for m∠A , we establish the following relationship between sine and cosine:
sincosrule
The sine of any acute angle is equal to the cosine of its complement.
The cosine of any acute angle is equal to the sine of its complement.
Sine and cosine are called "cofunctions", where the sine (or cosine) function
of any acute angle equals its cofunction of the angle's complement.
FYI: What about tangent?
Yes, there is a "relationship" regarding the tangent of the two acute angles (A and B) in a right triangle. It is not, however, the same type of relationship that exists between sine and cosine.
The tangent of ∠A is the reciprocal (flip over) of the tangent of ∠B.
The angles being used in the following examples are acute angles.
ex1
If sin 30º = ½ and cos θ = ½,
find θ. Solution: Since both trig functions = ½,
30º and θ must be complementary.
θ = 60º
ex2
If sin(3x + 10)º = cos(x + 24)º,
find x. Solution: In order for the sine and cosine to be equal, the angles must be complementary.
3x + 10 + x + 24 = 90
4x + 34 = 90
4x = 56
x = 14
ex3
If sin(15º) = 0.26 and
cos (15º) = 0.97,
find sin(75º) and the cos(75º). Solution: The sine of an angle and the cosine of its complement are equal.
15º and 75º are complementary.
sin(75º) = cos(15º) = 0.97
cos(75º) = sin(15º) = 0.26
ex4
In right ΔABC, m∠C = 90º,
sin A = x + 0.1 and cos B = 2x - 0.4. Find x. Solution: If A and B are the acute angles of a right triangle, sin A = cos B.
x + 0.1 = 2x - 0.4
0.5 = x
Why is 5(-2+7)+3=-10x+38 one solution explain your answer
Given that A, O & B lie on a straight line segment, evaluate x.
The diagram is not drawn to scale.
Answer: x=10
Step-by-step explanation: A straight line is equal to 180 degrees, meaning that the sum of all angles is supplementary to 180 degrees. This can be written as 3x+88+x+36+2x-4=180. Adding like terms, it is simplified to 6x+120=180. Subtract 120 on both sides getting you 6x=60. Then divide; x=10
A recipe for a cookie batch calls for 5/8 cup of flour. There are three and three-fourths cups of flour in a bag in the cupboard. How many batches of cookies can you make?
Answer:
So a batch is 5/8
There are THREE 3/4th cups of flour in the cupboard.
So 3 three fourths so basically
3/4 * 3 = 9/4 or
3/4 + 3/4 + 3/4 = 9/4
9/4 and each batch is 5/8.
9/4 ÷ 5/8 = 72/20 or 3 1/10
3 batches of cookies.
ZN
is tangent to circle OO at point ZZ. If \text{m}\overset{\huge\frown}{ZMB} = 280^{\circ}m
ZMB
⌢
=280
∘
, find \text{m}\angle BZNm∠BZN.
Given tangent, ZN, to the circle and the arc [tex]\widehat{ZMB}[/tex] = 280°, we have that
the angle formed by the chord BZ and the tangent ZN, ∠BZN is 50°
Which method can be used to find ∠BZN?The given parameters are;
A tangent to the circle O = ZN
[tex]m \widehat{ZMB}} = \mathbf{280^{\circ}}[/tex]
Required:
Angle ∠BZN
Solution;
Please find attached the drawing of the circle and tangent
From the drawing, we have;
∠BOZ = 360° - 280° = 80°
ΔBOZ is an isosceles triangle, which gives;
∠BZO = ∠ZBO
[tex]\angle BZO = \dfrac{(180^{\circ}- 80^{\circ}) }{2} = \mathbf{50^{\circ}}[/tex]
∠OZN = 90° (by definition of a tangent)
∠OZN = ∠BZO + ∠BZN
∠BZN = ∠OZN - ∠BZO
Which gives;
∠BZN = 90° - 40° = 50°
The measure of angle ∠BZN = 50°Learn more about tangents to a circle here:
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8.01+24.192=
adding decimals thousands
Answer:
32.202
Step-by-step explanation:
Tutorial
Some players on a co-ed basketball team compared the total number of points they
scored over the course of a year.
Points scored in basketball
Hunter
1
5
Katie
1
5
Jenny
5
()) If there were 50 points scored overall, how many more were scored by Jenny than by
Hunter?
Answer:
20 points
Step-by-step explanation:
If Jenny scored 3/5th of 50 points then:
Jenny = 3/5 × 50 = 30 points
If Hunter scored 1/5th of 50 points then:
Hunter = 1/5 × 50 = 10 points
Difference in points between Jenny and Hunter = 30 - 10 = 20 points
Simplify the following (12+7)-(2-23)
Answer:
40Step-by-step explanation:
Simplify the following (12+7)-(2-23)
(12 + 7) - (2 - 23) =
19 - (-21) =
19 + 21 =
40
Neo works as a computer technician and is usually paid $12.50 an hour. In one week he worked 35 hours normal time and 10 hours overtime for which he was paid double time. Calculate his pay for that week.
If a triangle only has 150 on one angle is what’s the measure for the rest of them
Answer:
I think it would be thirty
The students in Suzanne's school are painting a rectangular mural outside the building that will be 15 feet by 45 feet. Scale drawing of the mural is shown. The diagonal is approximately 6.3 units.Write the unit rate for the proportional relationship between lengths on the mural y and lengths in the scale drawing x.
Answer:
The dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
Step-by-step explanation:
The first step will be to find the diagonal of the rea life mural.
We can use Pythagoras' Theorem to do this.
Diagonal = [tex]\sqrt{15^2 +45^2 }[/tex] =47.43 feet.
Now we have the real-life diagonal, we will now relate the diagonal of the painting outside with the one on paper. We can do this by dividing the two diagonals.
This will be 47.43 / 6.3 units = 7.53.
The scale factor is 7.53
To get the dimensions of the length and the breadth on paper, we divide the outside dimensions by the scale factor.
This will be
Length = 15/ 7.53 = 1.992
Breadth = 45/7.53 = 5.976
Therefore, the dimensions on paper are 1.992ft by 5.976ft with a scale factor of 7.53
Determine whether the graph table or equation represents a linear or nonlinear function explain
Each time x goes up by 3, y goes up by 2. The rate of change is constant.
slope = (change in y)/(change in x) = 2/3
y intercept = 6 since this is where x = 0
The equation of this line is y = (2/3)x+6
Answer:
Linear, The rate of change is constant.
Step-by-step explanation:
-3 + 3 = 0
0 + 3 = 3
So x is constant
4 + 2 = 6
6 + 2 =8
So y is constant
answer plssssssssssssss
In the morning, the temperature was -3°F. By mid-
afternoon, the temperature was 12°F. What was the
change in temperature between the morning and
afternoon?
Answer:
Step-by-step explanation:
To get from - 3 degrees to 0 takes 3 degrees to do
To get from 0 degrees to 12 takes 12 degrees Add
Total 15 degrees.
7. The total cost of producing 475 calculators was $12,825. What is the unit cost (that is, the cost of producing 1 calculator)?
What is the slope of the line parellel to this line -9x+3y=6
Answer: 3
Step-by-step explanation:
A recipe that yields 12 cups of soup calls for 28 ounces of beef broth how many ounces of beef broth do you need to make 18 cups of soup?
Answer:
42
Step-by-step explanation:
for one cup 28/12
for 18 cup,
(28/12)×18
=42
Translate the algebraic expression into a verbal expression. A/3 - 5b
Answer:
5 times a number subtracted from another number divided by 3.
Step-by-step explanation:
What is the surface area of this right triangular prism?
Enter your answer in the box.
in²
Right triangular prism. The height of the prism is labeled 15 in. The base of the prism is a triangle with sides labeled 17 in., 17 in., ad 30 in. There is a dashed line from the vertex of the triangle perpendicular to the 30 in. side that is labeled 8 in.
Answer:
i believe its 1200
Step-by-step explanation:
By the time the blizzard was over the temperature had dropped from
17°F to -6°F This was a drop of how many degrees?
Answer:
23
Step-by-step explanation:
To get to 17 degrees, you need to add 6 to -6 to get to 0.
And to get to 17 from 0, you need to add 17.
So then you add 6 and 17 together.
6+17=23
8. Caitlyn has 8 gallons of milk. She uses
3
of the milk to make hot chocolate.
4
1
Then, she uses
of the remaining milk to make cookies.
4
How many gallons of milk does Caitlyn have left after making hot chocolate and
cookies?
Answer:
115/12
HOPE IT IS THE ANS