Answer:
88 because I just solved it on a white board
A test is worth 50 points. Multiple-choice are worth 1 point and short answer questions are worth 3 points. If a test has 20 questions how many multiple choice questions are there
Answer:
5 multiple choice questions
Step-by-step explanation:
Write equations to represent the situation.
let "x" be the number of multiple choice questions
let "y" be the number of short answer questions
Equation for the total number of questions:
x + y = 20 # of multiple choice questions + # of short answer questions
Equation for the total points: (Multiply the type of question with how many points you get.)
x + 3y = 50 You don't need to write '1' beside 'x' for multiplying by 1.
The system of equations we need to solve is:
x + y = 20 and x + 3y = 50
We can solve using the substitution method.
Rearrange x + y = 20 to isolate one variable.
Isolate 'y'.
x + y = 20
x - x + y = 20 - x Subtract 'x' from both sides
y = 20 - x
Take the other equation x + 3y = 50. You can replace 'y' with the equation that equals 'y' that we got when rearranging.
Substitute y for 20 - x
x + 3y = 50
x + 3(20 - x) = 50 Use distributive property. Multiply the 3 outside the bracket by each number inside the bracket.
x + 60 - 3x = 50 Combine like terms. 'x' and '-3x' are alike because they both have 'x'.
60 - 2x = 50 Start isolating 'x'.
60 - 60 - 2x = 50 - 60 Subtract 60 from both sides.
-2x = 50 - 60 60-60 cancels out on the left side.
-2x = -10
-2x/-2 = -10/-2 Divide both sides by -2 to isolate 'x'.
x = -10/-2 -2x/-2 becomes 'x'. -2/-2 cancels out.
x = 5 Number of multiple choice questions
Therefore there are 5 multiple choice questions.
If you needed the number of short answer questions too, you would substitute x for 5 in any of the other equations.
Find the common difference for the given sequence. Type a numerical answer in the space provided. Do not include
spaces in your answer. If necessary, use the key to represent a fraction bar
105, 110, 115, 120.
Answer: -5
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
The formula for calculating common difference is given by :
[tex]t_{2}[/tex] - [tex]t_{1}[/tex] = [tex]t_{3}[/tex] - [tex]t_{2}[/tex] = [tex]t_{4}[/tex] - [tex]t_{3}[/tex]
Where [tex]t_{1},t_{2}[/tex] are the terms given .
from the sequence given :
[tex]t_{1}[/tex] = 105
[tex]t_{2}[/tex] = 110
[tex]t_{3}[/tex] = 115
[tex]t_{4}[/tex] = 120
Therefore : common difference will be
110 - 105 = 5
115 - 110 = 5
120 - 115 = 5
Therefore , 5 is the common difference
Delia is hosting a BBQ. She buys a total of 50 burgers and Hot Dogs for $90. Delia pays $2 per burger and $1.50 per Hot Dog. Write a system of linear equations to find the number x of burgers and the number y of Hot Dogs Delia buys. Solve the linear system by substitution. Please help-
What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250?
Answer:
18
Step-by-step explanation:
x^2 + y^2 – 14x + 10y = 250
x^2 -14x + y^2 + 10y = 250
x^2 - 14x + (-7)^2 + y^2 + 10y + (5)^2 = 250 + (-7)^2 + (5)^2
(x-7)^2 + (y + 5)^2 = 250 + 49 + 25
(x-7)^2 + (y + 5)^2 = 324
Comparing with the general circle (x - b)^2 + (y - a)^2 = r^2
we have; r^2 = 324
r = square root(324)
r = 18
Find the perimeter of a rectangle whose dimensions are 15 inch times 8 inches
One gallon of paint usually covers about 350 square feet. How many square feet will 2.5 gallons cover? Show your
work, including labeling your answer with the appropriate units of measure.
Answer:875 feet
350÷2=175
350+350+175=875
Step-by-step explanation:
A sky jump makes an angle of 27° with respect to the water as shown below. How are the 27° angle and the unknown angle related? What is the value of X?
Answer:
153
Step-by-step explanation:
The figure shows a right triangle with acute angle of 27°, this angle is the angle between the water level and the ski ramp.
It is also shown the suplementary angle 27° marked as X°, which is the angle that you must determine.
In the figure is clear that x is the exterior angle of the corner with the angle of 27° and that X° + 27° = 180°.
Then you can solve for X.
X = 180° - 27° = 153°.
Answer: 153°
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Eva was playing a game with a friend and had 100 points.
Then, she drew a bad card and lost 120 points.
What was her new score?
She had 100 points then lost 12-0 points.
Subtract 120 from 100.
100 - 120 = -20
Answer:20
Step-by-step explanation:
Holly spilled 1/4 of her 2-liter bottle of soda How much soda does she have left?
Answer:
3/4
Step-by-step explanation:
im a big brain so yea
I NEED THE ANSWER ASAP PLEASE
Answer:
720$
Step-by-step explanation:
(1000+(230*24))-5800=720
z=a/b+c/d solve for D
Final answer:
To solve for D in the equation z = a/b + c/d, subtract a/b from both sides, combine fractions on the left side, cross multiply, and finally solve for d by dividing both sides by (bz - a).
Explanation:
To solve for D in the equation z = a/b + c/d, you need to isolate d on one side of the equation. Here's how you can do it:
Subtract a/b from both sides of the equation: z - a/b = c/d.Find the common denominator for the left side of the equation, then combine fractions: (bz - a)/b = c/d.Cross multiply to get rid of the fractions: d(bz - a) = bc.Divide both sides by (bz - a) to solve for d: d = bc/(bz - a).When a = 2.658653234, b = 0.179825026, c = -54.56945917, and z = 17.98260265, you would substitute these values and calculate d accordingly, leading to a numerical solution for d.
Which algebraic expression is represented by the model?
A. 3 ( 3 x + 9 ) B. 3 x ( x + 3 ) C. 3 ( x + 3 ) D. 3 ( x + 9 )
Answer:
Contributing
Step-by-step explanation:
Just contribute the number that is not is the column to the number that is in the column
Final answer:
The provided expressions each represent different algebraic operations. The first involves rearranging a quadratic equation into standard form, while the second describes the line and graph representation of a linear equation. The third is the application of the product rule to find the derivative of an equation.
Explanation:
To determine which algebraic expression is represented by the model, the given expression of 3x +3+x²+x=24 needs to be simplified and put into standard form. This involves combining like terms and rearranging to achieve the form ax² +bx+c= 0. After combining terms involving x and rearranging, you should subtract 24 from both sides of the equation to set it equal to zero.
On the other hand, the equation y = 9 + 3x represents a linear relationship with a slope (m) of 3 and a y-intercept (b) of 9. Constructing a table or graph of this equation by plugging in different x-values and calculating y reveals a line on a graph. The given equation has no terms that would suggest it represents a model that includes x², thus it is not a quadratic equation and does not match the first expression.
When dealing with the derivative of the equation (x³)'(1 + x²)−¹ + x³ [(1 + x²)−¹]', according to the product rule, this simplifies to 3x² (1 + x²)−¹ + x³ [-(1 + x²)−²(2x)]. Simplifying further, you obtain a final form that involves squaring the binomial (1+x²).
These three examples of algebraic manipulation showcase different types of operations needed to simplify and derive equations for specific purposes.
Amber got a raise, and her hourly wage increased from $8 to $9.50 what is the percent increase
Answer:
The percent increase is 18.75%.
Step-by-step explanation:
Given:
Amber got a raise, and her hourly wage increased from $8 to $9.50.
Now, to find percent increase.
Previous wage = $8.
Wage raised = $9.50.
So, to get the increased wage we subtract the previous wage from the wage raised:
[tex]\$9.50-\$8=\$1.50.[/tex]
Now, to get the percent increase:
[tex]\frac{1.50}{8} \times 100[/tex]
[tex]=\frac{150}{8}[/tex]
[tex]=18.75\%.[/tex]
Therefore, the percent increase is 18.75%.
The percent increase in Amber's hourly wage from $8 to $9.50 is 18.75%.
To find the percent increase in Amber's hourly wage, you can follow these steps:
Find the difference between the new wage and the old wage:⇒ $9.50 - $8 = $1.50.
Divide the difference by the old wage to find the percentage change:⇒ $1.50 ÷ $8 = 0.1875.
Convert the decimal to a percentage by multiplying by 100:⇒ 0.1875 × 100 = 18.75%.
Therefore, the percent increase in Amber's hourly wage is 18.75%.
Complete question:
Amber got a raise and her hourly wage increased from $8 to $9.50. What is the percent increase?
A wire 18 ft long is cut into two pieces. Each piece is bent into the shape of a square. The perimeter of the larger square is twice the perimeter of the smaller square. Find the perimeter of the larger square.
Answer:
12
Step-by-step explanation:
18/3=6
If one piece is twice as large as the other, than 18 needs to be divided by 3, making it exact.
Answer:12
Step-by-step explanation:
Perimeter of a square =4L
Perimeter of larger square is twice the perimeter of square =2x4L=8L
Wire length =18ft
Wire length =sum of the two perimeterr
18=4L+8L
18=12L
L=18/12
L=1.5
Perimeter of larger square=8L
Replace Lwith 5
Perimeter of larger square =8x1.5
Perimeter of larger square =12ft
Help me please I really don’t get this
Answer:
y equals 45, because you substitute the x in the bigger equation with -2, and then solve for y
Write an equivalent expression for -3t+4q+5t-7q
Answer:
The equivalent expression can be given as:
⇒ [tex]2t-3q[/tex]
Step-by-step explanation:
Given expression:
[tex]-3t+4q+5t-7q[/tex]
To write an equivalent expression:
Solution:
In order to write an equivalent expression, we will combine the like terms. By like terms, we mean the terms with the same variable constant.
For example : [tex]5x[/tex] and [tex]-3x[/tex] are like terms.
We have:
[tex]-3t+4q+5t-7q[/tex]
Combining like terms :
⇒ [tex]-3t+5t+4q-7q[/tex]
⇒ [tex]2t-3q[/tex]
Thus, the equivalent expression can be given as:
⇒ [tex]2t-3q[/tex]
Find x.
pleaaaaase help
Answer:
x = 12
Step-by-step explanation:
1. Set up a proportion:
32 (32 + x)
------ = ------------
24 (24 + 9)
2. Cross-multiply & solve for x:
32*(24 + 9) = 24*(32 + x)
1056 = 768 + 24x
288 = 24x
12 = x
x = 12
The director of a production company constructed the Venn diagram shown to display the types of employees in the company. How many of the employees are both actors and dancers?
Answer:
9
Step-by-step explanation:
The way to find the answer is by finding the point we're the two circles intersect and adding the number in that space to the number in the middle as the people in the middle are shown to be capable of both things as well
Question 4
Two spinners are spun +
and the scores are added
together. The results are
shown in the diagram
opposite.
2
a) Write down the
probability that the || 3
score is 3
b) Write down the
probability that the
score is an even
number.
c) If the two spinners
are spun 200 times,
how many times
would you expect
the score to be 2.
Answer:
a is 7/25
b is 14/25
c is 24
Step-by-step explanation:
a) because there are 25 possible outcomes and 7 of them are 3 it is 7/25
b) using the same logic 14 possible outcomes are even
c) because the probability of it being 2 is 3/25, which can be made into ?/200 by multiplying the 25 by 8, which means we have to do the same to the 3, making it 24
- 1\2[p+2]= -3 -p
Can somebody solve this for me ! plz
Answer:
-4
Step-by-step explanation:
-1(p+2)/2=-3-p
Multiplying both sides by 2
-p-2=2(-3-p)
-p-2=-6-2p
Combining similar terms
-p+2p=-6+2
p=-4
How does adding or subtracting polynomials compare to adding or subtracting integers?
Answer:
Subtracting Polynomials is very similar to adding polynomials. In fact, we will be changing the subtraction problem to an addition problem. In the Pre-Algebra section of the website, we started out by reviewing integers. We said, " When you subtract integers, you must add the opposite. We also talked about the Keep - Change- Change Rule.
Step-by-step explanation:
The explanation regarding the adding or subtracting polynomials compare to adding or subtracting integers is explained below:
The following information should be considered:
Subtracting Polynomials is same to adding polynomials. It should be changed the subtraction problem to an addition problem. In the Pre-Algebra section of the website, here we begins with reviewing integers. We said that at the time when you subtract integers, you must add the opposite. Also, Keep - Change- Change Rule should be considered.
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A cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7. What amount of this mixture contains 9 kilograms of Almond?
The total cereal mixture is 45 kilograms
Solution:
Given that, cereal mixture contains Almond, Wheat, and Corn in the ratio of 3:5:7
Therefore,
Almond : Wheat : Corn = 3 : 5 : 7
Let the almond present be 3x
Let the wheat present be 5x
Let the corn present be 7x
Therefore,
Total cereal mixture = 3x + 5x + 7x
Total cereal mixture = 15x
Given that mixture contains 9 kg of almond
Almond = 9
We know that,
Almond present = 3x
3x = 9
x = 3
Therefore,
Total cereal mixture = 15x = 15(3) = 45
Thus total cereal mixture is 45 kilograms
Liam wants to buy a car. He has $100. The car that he wants costs $120,000. His parents is willing to give him $1,300. How long will it take him to get enough money to buy the car?
The equation A = x(x-4) describes the area, A, of a rectangular flower garden, where x is the width in feet.
What would be the width in feet of the flower garden if the area is 12 square feet?
A.2
B.6
C.4
D.7
Answer:
The flower garden width would be 6 ft
Step-by-step explanation:
A = 12 ft^2 = x(x + 4) becomes:
x^2 + 4x - 12 = 0, or (by completing the square) x^2 + 4x + 4 - 4 - 12 = 0
Thus, we have (x + 2)^2 - 16 = 0, or (x + 2)^2 = 16
Taking the square root of both sides yields x + 2 = ±4.
In this context only a positive x value makes sense: x = 2 + 4 => x = 6.
The flower garden width would be 6 ft. The other dimension would be 6 - 4, or 2, ft.
To find the width of the flower garden when the area is 12 square feet, the equation A = x(x-4) is used. Solving for x, the width of the flower garden is 6 feet.
To find the width of the flower garden when the area is 12 square feet:
Plug in A=12 into the equation: 12 = x(x-4)
Solve the equation for x by factoring or using the quadratic formula
The possible values for x are 6 and -2, but since width can't be negative, the width of the flower garden is 6 feet (B)
-(2)negative negative two quotation to the zero power equals
Answer:
1
Step-by-step explanation:
While I am not 100% sure what you are putting (I'm assuming it's -2^0), anything to the power of 0 will equal a positive 1 as your answer.
John is driving around town. When he reaches the gas station, he notes that he has traveled 20 miles. He reaches home 2 hours later and notes that he has traveled 30 miles.
If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?
Answer:
[tex]d=5t+20[/tex]
Step-by-step explanation:
The equation that will model this situation will be of the form
[tex]d=mt+b[/tex]
where [tex]t[/tex] is the time in hours john has traveled since the gas station, and [tex]d[/tex] is the distance.
Now we know that John has already traveled 20 miles when he is at the gas station, this means at [tex]t=0[/tex], [tex]d=20[/tex]; or
[tex]20=m(0)+b[/tex]
[tex]\boxed{b=20}[/tex]
Thus we have
[tex]d=mt+20[/tex].
Now we need to figure out [tex]m.[/tex]
When John reaches home 2 hours later he notes that he has traveled 30 miles, which means he has traveled 30 - 20 = 10 miles; thus we have
[tex]m= \frac{\Delta d}{\Delta t} =\frac{10 miles}{2hours} =5[/tex]
[tex]\boxed{m=5}[/tex]
Now we have the full equation:
[tex]\boxed{d=5t+20}[/tex]
Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle X Y Z is x. Which is the best approximation for the measure of angle XYZ? 33.6° 39.8° 50.2° 56.4°
The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer
Step-by-step explanation:
Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle
The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are
[tex]sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}[/tex] [tex]cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}[/tex] [tex]tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}[/tex]In Δ XYZ
∵ ∠ YXZ is a right angle
∴ The hypotenuse is YZ
∵ The adjacent side to ∠XYZ is XY
∵ The opposite side to ∠XYZ is XZ
∵ YX = 12 units
∵ XZ = 10 units
- Use tan ratio to find the measure of the angle because you
have the adjacent and opposite sides of the angle XYZ
∵ m∠XYZ is x
∵ [tex]tan(x)=\frac{XZ}{XY}[/tex]
∴ [tex]tan(x)=\frac{10}{12}[/tex]
- To find x use the inverse of tan(x)
∵ [tex]x=tan^{-1}(\frac{10}{12})[/tex]
∴ x = 39.8°
∴ m∠XYZ = 39.81°
The best approximation for the measure of angle XYZ is 39.8°
Learn more:
You can learn more about the trigonometry ratios in brainly.com/question/4924817
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Answer:
B 39.8
Step-by-step explanation:
just took the test!
What are the next two terms in the pattern 3,6,5,,10,9,18,17
Answer:
34,33
Step-by-step explanation:
3×2=6
6-1=5
the pattern is multiplied by 2 minus1
Write 15/45 as unit rate
Answer:
Step-by-step explanation:
15/45 = 1/3 {giving by 15th table}
= 0.33
Toms garden is 8 acres. Two fifths is corn. Of that, three tenths is early corn and one tenth is late corn. How many acres of early corn does he have ?
Answer:
He have 0.96 acres of early corn.
Step-by-step explanation:
Given:
Toms garden is 8 acres. Two fifths is corn.
Of that, three tenths is early corn and one tenth is late corn.
Now, to find the acres of early corn.
Total garden = 8 acres.
Total Corn in garden = [tex]\frac{2}{5}\ of\ 8=\frac{2}{5} \times 8=\frac{16}{5}[/tex] acres.
As, given of the total corn in garden, three tenths is early corn.
Now, to get the early corn he have:
= [tex]\frac{3}{10} of \frac{16}{5}[/tex]
= [tex]\frac{3}{10} \times \frac{16}{5}[/tex]
= [tex]\frac{48}{50}[/tex]
= [tex]0.96\ acres.[/tex]
Therefore, he have 0.96 acres of early corn.