D) 8.7lbs
Subtract $2.50 from the total cost, because that's a fixed number, then do more math and boom, just like magic, it's solved.
Answer:
8.7 pounds
Step-by-step explanation:
7.29 = 2.5 + 0.55 w
0.55 w = 7.29 - 2.5
0.55 w = 4.79
w = 4.79 / 0.55
w. 8.7
A gym instructor has a total of 60 hand weight in her studio. Some of the hand weights are 3 pound weights and the rest are 5 pound weights. If there are 10 more 5-lb weights than 3-lb weights, then how many of each kind does she have?
Answer:
35 5-lb weights25 3-lb weightsStep-by-step explanation:
Let t and f represent the numbers of three- and five-pound weights. The problem statement tells us ...
f + t = 60
f - t = 10
Adding these two equations, we get ...
(f +t) +(f -t) = (60) +(10)
2f = 70 . . . . . eliminate parentheses
f = 35 . . . . . . divide by 2
She has 35 5-lb weights, and 25 3-lb weights.
A math teacher wants to buy 25 new scientific calculators for the classroom. Acme and Zenith makes two different type of calculators. Acme calculators cost $15 each. Zenith calculators cost $12 each. The math teacher has $330 to spend. How many of each calculators can she buy?
Answer: 10 Acme and 15 Zenith.
She can buy 10 Acme and 15 Zenith calculators.
What is the system of equations?One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.
Given:
A math teacher wants to buy 25 new scientific calculators for the classroom.
Acme and Zenith makes two different type of calculators.
Acme calculators cost $15 each.
Zenith calculators cost $12 each.
The math teacher has $330 to spend.
Let x represents the number Acme calculators and y represents Zenith.
Now, we have the system of equations,
x + y = 25
So, y = 25 - x
And 15x + 12y = 330
Substituting the value of y,
15x + 300 - 12x = 330
3x = 330 - 300
3x = 30
x = 10
So, y = 15
Therefore, 10 Acme and 15 Zenith calculators.
To learn more about the system of equation;
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Which best describes the complement of spinning any number less than 3?
Answer:
The complement of spinning any number less than 3, is spinning a number equal to or greater than 3.Explanation:
The complement of a subset is the subset of elements that are not in the given subset.
You must know which numbers the spinner has.
Assuming the spinner has the numbers 1, 2, 3, 4, the complement of spinning any number less than 3, is spinning a number that is not less than 3.
Then, that is spinning a number that is equal to or greater than 3.
The numbers that are equal to or greater than four, for a spinner that has the numbers 1, 2, 3, and 4 are 3 and 4.
Thus, the complement of spinning any number less than 3 is spinning a three or a four.
Answer:
C
Step-by-step explanation:
What is 6350.384 rounded to the nearest tenth
Answer:6350.4
Step-by-step explanation:
Teresa, Charlie, and Justin served a total of 153 orders Monday at the school cafeteria. Justin served 4 times as many orders as Charlie. Teresa served 9 more orders than Charlie. How many orders did they each serve?
Teresa served 33 orders and Charlie served 24 orders and Justin served 96 orders
Solution:
Let "a" be the orders served by Teresa
Let "b" be the orders served by Charlie
Let "c" be the orders served by Justin
Teresa, Charlie, and Justin served a total of 153 orders
Therefore,
a + b + c = 153 -------- eqn 1
Justin served 4 times as many orders as Charlie
Orders served by Justin = 4( orders served by Charlie )
c = 4b ---------- eqn 2
Teresa served 9 more orders than Charlie
orders served by Teresa = 9 + orders served by Charlie
a = 9 + b ----------- eqn 3
Let us solve eqn 1 and eqn 2 and eqn 3
Substitute eqn 2 and eqn 3 in eqn 1
9 + b + b + 4b = 153
9 + 6b = 153
6b = 153 - 9
6b = 144
b = 24
Substitute b = 24 in eqn 3
a = 9 + 24
a = 33
Substitute b = 24 in eqn 2
c = 4(24)
c = 96
Thus Teresa served 33 orders and Charlie served 24 orders and Justin served 96 orders
There are 5 5/4 of milk left in a carton. Write 5 5/4 an improper fraction. Explain what the improper fraction represents in this situation
Answer:
25/4 This improper fraction represents how much milk is left in the carton.
Step-by-step explanation:
5×4=20
20+5=25
25/4
What is the perimeter of this red polygon?
Answer:
Answer: The perimeter of the red polygon is 26 cm.
Step-by-step explanation:
Answer:
Tangents from an external point are equal. This can be used to find the perimeter
Perimeter = 22+22+22+22+27+27+98+98
= 338 in.
Hope this helps!
Eight less than 1/3 a number n is -13?
BICYCLING The bicycle path at the
park is a loop that covers a distance
of m miles. Dot biked 2 loops each on
Monday and Wednesday and 3 loops
on Friday. On Sunday, Dot biked
10 miles. Write an expression in
simplest form that represents the
total distance that Dot biked this
week.
Dot bikes 7m+10 miles this week.
Step-by-step explanation:
Distance of one loop = m miles
Distance of 2 loops = 2m
Distance of 3 loops = 3m
Distance covered on Sunday = 10 miles
Total distance = Monday + Wednesday + Friday + Sunday
Total distance = 2 loops + 2 loops + 3 loops + 10 miles
Total distance = 2m + 2m + 3m + 10
Total distance = (7m+10) miles
Dot bikes 7m+10 miles this week.
Keywords: addition, distance
Learn more about distance at:
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Alegbra, K12 Question. Answer needed ASAP --- Brainliest to the correct answer!
Good evening ,
Answer:
-1Step-by-step explanation:
From the table :
f(x) = g(x) only when x = -1 then -1 is the only solution
f(-1) = 9 = g(-1)
note : the equation could have some other solutions not shown in the table
:)
-4, -9, -14. What is a formula for the nth term if the given sequence in explicit formula
Answer: the formula is
(-4) + (-5) = -9
(-9) + (-5) = -14
Step-by-step explanation:
Answer:
an = 1 − 5n
Explanation:
a1 = 1 − 5 (1) = −4
a2 = 1 − 5 (2) = −9
a3 = 1 − 5 (3) = −14
if anyone can answers these i will give them a brainlist.
1. A tree casts a shadow 21 m long. The angle of
elevation of the sun is 51°. What is the height of the
tree?
2.a helicopter is hovering over a landing pad 100m from where you are standing. the helicopter’s angle of elevation off the ground is 12 degrees. what is the altitude of the helicopter?
Answer:
1. X= 25.9 meters
2.X= 21.3 meters
Step-by-step explanation:
1. Tan 50°= X/21
2. Tan 12°= X/100
draw triangle abc where:
AB has the length 3.9cm (this is drawn for you)
angle CAB is 50
and
angle ABC is 63
Step-by-step explanation:
We are asked to draw a triangle.
The information we are given with is AB is a line segment with length 3.9 cm.
∠CAB = 50°.
∠ABC = 63°.
With the given details we need to draw triangle using given angles. We need protractor and ruler to draw the triangle.
Step 1: Draw the line segment of length 3.9 cm using ruler and mark as AB.
Step 2: Using protractor, we need to mark the angle. Keep the center of the protractor at the A and mark with a point at 50°.
Step 3: Draw a line from a passing through the marked point.
Step 4: Repeat step 2 with marking at 63° and step 3 on the other side.
Step 5: Mark the intersection point as C.
I need help -6(2x+6)=-132
Answer:
x=8
Step-by-step explanation:
First you want to distribute -6 to (2x+6) which you will then get -12x-36=-132. Now you want to get x by itself by getting rid of -36, so add 36 on both sides of the equation to get -12x=-96. Isolate x by dividing by -12 on both sides of the equation which will leave you with the equation x=8
Ajar contains a mixture of 10 black balls, 8 red balls, and 2 white balls all the same size. What is the probability of
drawing either a red, black, or white ball in one draw?
Answer:
10 black- 10/20 - 50%
8 red- 8/20 - 40%
2 white - 2/20 -10%
Step-by-step explanation:
The total number of balls = 10 + 8 + 2 = 20 balls
probability of black balls = 10/20 = 50%
probability of red balls = 8/20 = 40%
probability of white balls = 2/20 = 10%
the three probabilities:
probability that the ball is one of the three colors = (10/20) + (8/20) + (2/20)
= 1 = 100%
What is the algebraic expression to 6 less than twice a number
Answer:
it would be 2x-6
Step-by-step explanation:
since you don't know what the value of "the number" is you would put a variable, x. and there is 2 of this number.
then 6 less would be -6 of this variable.
(u-4)5 please solve this
Answer:
5u - 20
Step-by-step explanation:
(u - 4)5
Multiply
5u - 20
Hope this helps :)
The equation of a given circle in. general form is x^2+y^2+12y+27=0. Write the equation in standard form, (x-h)^2+(y-k)^2=r^2, by completing the squares in the equation. Show your work in the table.
Answer:
Center (h, k) = (0, 6)
Radius, r = 3 units
Step-by-step explanation:
The given equation of the circle is: [tex]$ x^2 + y^2 + 12y + 27 = 0 $[/tex]
STEP I: Move the constant term to the right hand side.
To do that we subtract 27 on both the sides, we get:
[tex]$ x^2 + y^2 + 12y = -27 $[/tex]
STEP II: Divide the co - effecient of 'x' by 2 and square it.
Here there is no 'x' term. Its co-effecient is 0.
STEP III: Add the result on both sides.
Since, we got 0 in the previous step, there would no change in the equation
STEP IV: We repeat the process for 'y'.
Here, the co-effecient of 'y' is: 12.
Dividing by 2 and squaring it will yield:
[tex]$ \frac{12}{2} = 6; \hspace{5mm} 6^2 = 36 $[/tex]
STEP V: Adding 36 to both the sides of the equation, it becomes:
[tex]$ x^2 + y^2 + 12y + 36 = -27 + 36 $[/tex]
[tex]$ \implies x^2 + y^2 + 12y + 36 = 9 $[/tex]
We have arrived at perfect squares.
STEP VI: Write in the form of perfect squares.
[tex]$ (x - 0)^2 + (y - 6)^2 = 3^2 $[/tex]
STEP VII: Compare it with the standard form.
[tex]$ (x - h)^2 + (y - k)^2 = r^2 $[/tex]
We get: The centre of the circle: (h, k) = (0, 6) and
the radius of the circle, r = 3 units.
How to solve 7(x+2y)=
Answer:
7x + 14y
Step-by-step explanation:
7(x + 2y)
Multiply 7 by the values inside the parenthesis (x + 2y)
7x + 14y
Hope this helps :)
If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
HELP PLS
Answer:
The third dot
Step-by-step explanation:
I did this question before :)
Graph the system of linear inequalities. y≥2/3 x-3 y<-4x+7
Answer:
The answer is given in the graph attached.
Step-by-step explanation:
i) The answer is given in the graph attached.
Write the ratio in simplest form.
8 min : 12 min
Answer:
2:3
Step-by-step explanation:
Answer:
2min :3min
Step-by-step explanation:
8 min divided by 4 =2
12 min divided by 4 =3
PLS I NEED ASAP WILL GIVE BRAINLIEST
Which equation is linear?
y=2x+2
2
y=2x^+2
3
y=2x^+2
4
y=2x^+2
For this case we have that by definition, a linear equation is of the form:
[tex]ax + b = 0[/tex]
The variable (s) involved in the equation always have exponent 1.
Some examples of linear equations are:
[tex]x + 5 = 3y\\y + 6 = 3x\\y = 2x + 2[/tex]
Answer:
In a linear equation the variables have exponent 1.
[tex]y = 2x + 2[/tex]
Add the two expressions.
3z−4 and 2z + 5
Enter your answer in the box.
Answer:
5z+1
Step-by-step explanation:
(3z-4)+(2z+5)
3z-4+2z+5
3z+2z-4+5
5z-4+5
5z+1
Answer:
5z+1
Step-by-step explanation:
3z-4+2z+5
Group like terms
3z+2z+5-4
Simplify
5z+1
ANSWER QUICK
What are the values of a, b, and c in the quadratic equation 0=1/2x^2-3x?
Answer:
[tex]a=\dfrac{1}{2}\\ \\b=-3\\ \\c=0[/tex]
Step-by-step explanation:
The general form of the quadratic equation is
[tex]ax^2+bx+c=0[/tex]
You are given the quadratic equation
[tex]0=\dfrac{1}{2}x^2-3x[/tex]
It can be rewritten in standard form as
[tex]\dfrac{1}{2}x^2-3x=0[/tex]
Hence,
[tex]a=\dfrac{1}{2}\\ \\b=-3\\ \\c=0[/tex]
Consider the transformation shown
Use the drop-down menus to complete the sentence.
The transformation is
because the
preserved
Image
Pre-image
Answer:
Nonrigid
Segment lents are not
Step-by-step explanation:
Answer:
answer in picture
Step-by-step explanation:
-3(3x-2)=24 helppppppppppp
Answer:
x=-2
Step-by-step explanation: I gotchu
1. You first apply the -3 to (3x-2) which makes the equation -9x+6=24
2. Then, to isolate "-9x", you subtract 6 from both sides to make the equation -9x=18
3. Lastly, to isolate "x", you divide both sides by -9 which would make x=-2
BRAINIEST RIGHT AWAY!! ANSWER NOW!
You take a pan of brownies out of the oven and set them on the counter in a room that is 70 degrees F, If the brownies start at 400 degrees F, approximately how long will it be before they are cool enough to eat at 160 degrees F? Use Newton's Law of Cooling with k = 0.035.
Answer:
i would say wait abought 50 mins
Step-by-step explanation:
i dont know whow to explain i might be wrong but its some whaere around 50 mins irl
Using Newton's Law of Cooling with a cooling constant of 0.035, it will take approximately 42.53 minutes for the brownies to cool from 400 degrees F to 160 degrees F.
To estimate the time it would take for brownies to cool from 400 degrees F to 160 degrees F using Newton's Law of Cooling, we can use the equation [tex]T(t) = T_s + (T_0 - T_s)e^{(-kt)[/tex], where T(t) is the temperature of the object at time t, T_s is the surrounding temperature, T_0 is the initial temperature of the object, and k is the cooling constant (0.035 in this case).
First, set T(t) = 160 degrees F (the desired temperature), T_s = 70 degrees F (room temperature), and T_0 = 400 degrees F (initial temperature of brownies). Plug in the values into the equation: 160 = 70 + (400 - 70)e^(-0.035t).
Simplify and solve for t. Subtract 70 from both sides: 90 = 330e^(-0.035t). Divide both sides by 330: 90/330 = e^(-0.035t), which simplifies to 0.2727 ≈ e^(-0.035t).
Take the natural logarithm of both sides to solve for t: ln(0.2727) = -0.035t. Solving for t gives t ≈ -ln(0.2727)/0.035, which calculates to approximately t ≈ 42.53 minutes.
Hence, the brownies should cool to 160 degrees F in about 42.53 minutes.
Find the next two terms of this sequence
112, 28, 7, ...........
Answer:
1.75, 0.4375
Step-by-step explanation:
Note there is a common ratio between consecutive terms, that is
r = 28 ÷ 112 = 7 ÷ 28 = 0.25
Thus the sequence is geometric.
To obtain a term in the sequence multiply the previous term by 0.25
7 × 0.25 = 1.75
1.75 × 0.25 = 0.4375
The next 2 terms in the sequence are 1.75, 0.4375
(-3,4) is one of many solutions to the inequality:
2x+y ≥ -2
True or false
Answer:
True
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
(-3,4) it shows that -3 =x and 4 =y
2x + y ≥ -2
Inserting both values into the equation
2(-3) + 4
-6 +4
-2
Answer confirms equation