Answer:
(a) See attachment 1
All points lie on the same line
(b) See attachment 2
Step-by-step explanation:
Given
[tex]2x + y = 10[/tex]
Solving (a): Plot 5 points that make the equation, true
First, we calculate the points
Make y the subject
[tex]y = 10 - 2x[/tex]
[tex]x = 0 \to y = 10 - 2* 0 = 10[/tex]
[tex]x = 1 \to y = 10 - 2* 1 = 8[/tex]
[tex]x = 2 \to y = 10 - 2* 2 = 6[/tex]
[tex]x = 3 \to y = 10 - 2* 3 = 4[/tex]
[tex]x = 4 \to y = 10 - 2* 4 = 2[/tex]
So, we will plot the following points
[tex](0,10)\ (1,8)\ (2,6)\ (3,4)\ (4,2)[/tex]
See attachment 1
Notice that all points lie on the same line
Solving (b):
Point (5,7) does not make the equation true, and that is why it lies outside the line
See attachment 2
The base of an isosceles triangle is 7cm long. Each of the other sides is x cm long. What will be the expression for its perimeter?
Answer:
P = 2x + 7
Step-by-step explanation:
Direction: Choose the letter of the correct answer and encircle the letter that corresponds to it.
1. The measures of two angles of a quadrilateral are 100° and 130°. If the other two angles are
congruent, find the measure of each angle.
A. 50° B. 55° C. 60° D. 65°
2. If the sum of the measures of the interior angles of a regular polygon is 9 000°, how many sides
does it have?
A. 50 sides B. 51 sides C. 52 sides D. 53 sides
3. The measure of the exterior angle of a regular polygon is 20°. How many sides does it have?
A. 12 sides B. 14 sides C. 16 sides D. 18 sides
4. The measures of the exterior angles of an octagon are m°, 2m°, 3m°, 4m°, 5m°, 6m°, 7m°, and 8m°.
What is the value of m?
A. 9 B. 10 C. 11 D. 12
MATH 7 QUARTER 3 Week 6
MATH 7 QUARTER 3 WEEK 6 Page 2 | 7
5. Three angles of a pentagon are 105°, 135° and 120°. Find the other two angles if they are in the
ratio 2:3.
A. 72° and 108° B. 72° and 109° C. 73° and 108° D. 73° and 109°
Answer:
1) D =65
2) C = 52
3) D =18
4) B =10
5) A = 72 and 108
Step-by-step explanation:
1) D =65
2) C = 52
3) D =18
4) B =10
5) A = 72 and 108
In order for a triangle to shrink in size but stay proportional to its original size, the scale factor, K, must be between
zero and what?
In order for a triangle to shrink in size but stay proportional to its original size, the scale factor, K, must be between zero and one.
What is scale factor?
The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).
In order for a triangle to shrink in size but stay proportional to its original size, the scale factor, K, must be between zero and 1.
The image is contracted if the scale factor is less than 1 (0< k <1).
The image is enlarged if the scale factor is more than 1 (k > 1).
The image remains the same if the scale factor is 1 (k = 1).
Hence, the scale factor k should be between 0 and 1.
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The drama club put on the play, “The wizard of Oz.” There were student tickets and adult tickets. There were 150 tickets sold to the play. Student tickets cost $3 per ticket, and adult tickets cost $5 per ticket. If the total sales were $580, how many student tickets and how many adult tickets were sold to the play? Use system of equations to solve.
On solving the provided question, we can say that - by the help of the unitary method 150* 3 = $450
What is unitary method ?The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.
so, we have
There were = 150 tickets sold to the play
Student tickets cost $3 per ticket
so, total will be = 150* 3 = $450
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PLZ HELP I HAVE NO CLUE WHAT TO DO
Answer:
P = 10.6 sq units
A = 12.5 sq units
Step-by-step explanation:
What is the sign of 4.3•(-3.2)•0?
Answer:
no sign (not positive or negative)
Step-by-step explanation:
The value of the expression
4.3 ⋅ (-3.2) ⋅ 0
is 0, as the value of any number multiplied by zero is 0.
The number zero is neither positive or negative; hence there is no sign.
If 27³+27³+27³=27x,what is the value of x?
Answer:
x = 2,187
Step-by-step explanation:
27×27×27+27×27×27+27×27×27 =27x
19,683+19,683+19,683 =27x
59,049 = 27x
divide both sides by the coefficient of x ( 27 )
59,049 / 27 = 27x / 27
x = 2,187
At summer camp this year, Clare is leading the beadwork class. Each of the 9 craft tables has a bucket of beads. The graph shows the weight of the beads in each bucket.
If Clare distributes all of the beads equally among the 9 buckets, how much will the beads in each bucket weigh?
The beads in each bucket will weigh 1 pound
How to determine the weight of the beads in each bucket?
A fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole.
From the graph, we have weights of 0, 1/2, 1 1/2 and 2 pounds.
In order for Clare to distributes all of the beads equally among the buckets, she need to add up weight of the beads and divide by 5.
weight in each bucket = (0 + 1/2 + 1 1/2 + 2)/5 = 5/5 = 1 pound
Thus, each bucket weighs 1 pound
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what is the answer of 0.08 divided by 48.86
Answer:
610.75
Step-by-step explanation:
48.86 divided by 0.08
Describe a sequence of transformation that maps DOG onto CAT
Sequence of transformation is first moving 5 unit in y axis than mirror image with y axis.
What would you say about the order of the transformations?A particular order of transformational events is referred to as a transformational sequence. This indicates that more than one transformation is handled by a series of transformations, and the order in which they happen is important.
What kind of figure can a series of transformations map onto itself?The line of reflection must pass through the centre point for the figure to map onto itself. The sides of the figure are cut by two lines of reflection. The vertices of the figure are intersected by two lines of reflection. As a result, there are four potential lines of reflection that pass through the center.
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A study by the department of education of a certain state was trying to determine the
mean SAT scores of the graduating high school seniors. The study found a confidence
interval for the mean score to be between 440 and 472. What is the margin of error
on the survey? Do not write on the margin of error.
Explanation:
The confidence interval spans from 440 to 472. This is a width of 472-440 = 32 units. It divides in half to get 32/2 = 16. We can think of this as the "radius" of the confidence interval, and it represents the margin of error. It's the distance from the center to either endpoint of the interval.
Side note: use the midpoint formula to determine the center.
Use the distributive property to fill in the blanks below. I need help on this, it's for a grade and this is my last day of school :| please help me!
Answer:
[tex]9*(6-5) = (9*6)-(9-5)[/tex]
Step-by-step explanation:
I can't really explain, but the disturbitive property opens brackets.
You multiply the number on the outside by each of the numbers on the inside, and use the symbol in the center to do stuff between the two products.
That's probably really confusing but whatever.
The area of a trapezoid is found using
the formula A=12 h(b1+b2), where A is
the area, h is the height, and b1 and
b2are the lengths of the bases. What
is the area of a trapezoid with the
height of 12, b = x +1, and b = x + 3?
Answer:
288x+576
Step-by-step explanation:
A=12×h(b1+b2)
A=12×12(x+1+x+3)
A=144(2x+4)
A=288x+576
The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x
Answer:
85.1 ft
Step-by-step explanation:
The extreme water slide forms a 20 angle with the tower it leans against 80 feet above the ground find the length of the slide x
We solve using the Trigonometric function of Cosine
cos y = adjacent/hypotenuse
y = angle = 20°
Adjacent = 80 ft
Hypotenuse = ?
cos 20 = 80/Hypotenuse
Hypotenuse = 80/cos 20
x = 85.134221798 ft
Approximately = 85.1 ft
Length of the slide = 85.1 ft
For each condition, make up a different equation for a quadratic function that meets the condition. Use whatever form is most conventions.
1. Has vertex at (-2,-5)
2. Has a y-intercept at (0,6)
3. Goes through the points (4,2) and (1,2)
y=−12(x+4)(x−1) A quadratic function that satisfies the requirement and passes through the points (4, 2) and has the equation +2 (1,2) .
what is equation ?A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.
given
a )a vertex at (−2,−5) :
y=[tex](x+2)^{2}[/tex]−5
y=−[tex](x+2)^{2}[/tex]−5
y=3[tex](x+2)^{2}[/tex]−5
b) a y-intercept of (0,−6) :
y=[tex]x^{2}[/tex]−6
y=[tex]x^{2}[/tex]+13x−6
y=2[tex]x^{2}[/tex]−6
c) the points (−4,2) and (1,2):
y=(x+4)(x−1)+2
y=2(x+4)(x−1)+2
y=−12(x+4)(x−1)+2
y=−12(x+4)(x−1) A quadratic function that satisfies the requirement and passes through the points (4, 2) and has the equation +2 (1,2).
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a) What type of triangle is triangle ABC? b) Give reasons for your answer. I need the correct answer for B with Reasons Not "ab and ac are the same" any word other than the same
Answer:
Δ ABC is isosceles
Step-by-step explanation:
∠ ABC and ∠ BCE are alternate angles and are congruent , that is
∠ BCE = ∠ ABC = 80°
since DE id a straight line then the angles lying on it sum to 180° , that is
∠ ACD + ∠ ACB + ∠ BCE = 180°
50° + ∠ ACB + 80° = 180°
∠ ACB + 130° = 180° ( subtract 130° from both sides )
∠ ACB = 50°
∠ BAC and ∠ ACD are alternate angles and are congruent , that is
∠ BAC = 50°
then
∠ BAC = ∠ ACB = 50°
Since the 2 base angles are congruent then Δ ABC is isosceles
5) If it takes 4 men 6 hours to repair a road, how long will it take 7 men to do the job if they work at the same rate
By fraction , 3 3/7 will it take 7 men to do the job if they work at the same rate.
What is fraction in maths?
In mathematics, the portion or component of the complete item is represented by a fraction. It stands for the proportionate pieces of the whole.
The denominator and numerator are the two components of a fraction. The top number is referred to as the numerator, and the bottom number is referred to as the denominator.
per person per hour
1/4*6 = 1/24
7 men per hour
1/24 * 7 = 7/24
total times
1 ÷ 7/24 = 1 * 24/7
= 3 3/7
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Probability results can be _________.
a. between 0 and 1 inclusive
b. expressed as a decimal
c. greater than 1, just like fractions and decimals d. None of these statements are true.
Answer:
it's either a win or lose
PLLLLZZZZ HEEELLPP MEEE!!!!!!
Consider a triangle where all three sides are known, but no angles are known. Is there enough information to find all the angles in the triangle using only the law of sines?
A) True
B) False
Answer:
maybe false
have a great day
true
Explanation:
you can use a2 +b2=c2 to find it
Is the correct answer for S is AB and DE?
Look at the picture
Answer:
Side AB congruent to side DE
( being the side joining two congruent angles)
HELP!!! this is graded and no links plzzzzz!!!!!
Answer:
88cm^2
Step-by-step explanation:
Area of the rectangle: base x height
Area of parallelogram: base x height
Area of the shaded part: area of rectangle -area of parallelogram:
12x10-4x8=120-32=88
Please help me find the shaded area!
Answer:
216
Step-by-step explanation:
first multiply 4by6 to get that area we will call that a
then 12 by 20 to get that area we will call that b
the shaded area is a's area minus B's area
(12*20)-(4*6)
240-24
216
Answer:
216 in²
Step-by-step explanation:
(12)(20) - (4)(6) = 240 - 24 = 216
which is greater? 1.646 or 1.43?
Answer:
1.646 > 1.43
hope this helped
> = greater
Step-by-step explanation:
Answer:
1.646 i think-
Step-by-step explanation:
i need help asap!! please help
For stuff like this you have to simplify the equation and solve for x.
But since its multiple choice you can just plug in each answer until it makes the equation true.
So here are the equations with n substituted in:
8(8+1)+3=45
7(7+1)+3=45
6(6+1)+3=45
5(5+1)+3=45
Now simplify:
8(8+1)+3=45 becomes 72+3 = 45
6(6+1)+3=45 becomes 42+3=45
5(5+1)+3=45 becomes 30+3=45
Its easiest to start with the highest option given and then go down. Because 8 is already way to high you could skip doing the math for 7 and go straight to 5 and 6.
42+3=45 becomes 45=45
30+3=45 becomes 33=45
So 6 makes this statement true.
After awhile its easy to gauge what numbers will come out to be, so you don't have to do the math for each answer.
what's the correct option? i'm stuck
Answer:
g
Step-by-step explanation: it is basically the same problem with the opisate meaning
Q3. a. Simplify the following ratios.
360:120:60
Answer:
6:2:1
Step-by-step explanation:
360÷60=6
120÷60=2
60÷60=1
Required:
a. For the balance sheet, identify how each transaction affects total assets, total liabilities, and total equity. For the income statement, identify how each transaction affects net income.
b. For the statement of cash flows, identify how each transaction affects cash flows from operating activities, cash flows from investing activities, and cash flows from financing activities.
WHAT AM I MISSING?!?!
The answers for the two questions is described below:
a. The balance sheet is a financial statement that shows a company's assets, liabilities, and equity at a specific point in time. Each transaction will affect one or more of these categories in different ways:
An increase in assets will increase total assets.
An increase in liabilities will increase total liabilities.
An increase in equity will increase total equity.
The income statement is a financial statement that shows a company's revenues, expenses, and net income over a specific period of time. Each transaction will affect net income in different ways:
An increase in revenues will increase net income.
An increase in expenses will decrease net income.
b. The statement of cash flows is a financial statement that shows the cash flows from operating activities, investing activities, and financing activities over a specific period of time. Each transaction will affect one or more of these categories in different ways:
An increase in cash from operating activities will increase cash flows from operating activities.
An increase in cash from investing activities will increase cash flows from investing activities.
An increase in cash from financing activities will increase cash flows from financing activities.
It is important to note that it can be complex to classify some transactions into one category or another, and it may require more context of the specific transaction and the company's operations.
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Clare made an error when solving -4x+3<23−4x+3<23.
The solution of the inequality is,
⇒ x > - 5
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ - 4x + 3 < 23
Now,
Since, The inequality is,
⇒ - 4x + 3 < 23
Solve as;
⇒ - 4x < 23 - 3
⇒ - 4x < 20
⇒ - x < 5
⇒ x > - 5
Thus, The solution is,
⇒ x > - 5
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There are 30 drummers competing in the Battle of the Bands this year. Next year, 5 of the drummers will leave and some new drummers will join the competition. If d is the number of drummers who will join the competition, which expression(s) represent the number of drummers in the competition next year.
Answer: 25 + d
Step-by-step explanation:
Since there are 30 drummers competing in the Battle of the Bands this year and, 5 of the drummers will leave the following year, the number of drummers left will be gotten by the expression:
= 30 - 5
If If d is the number of drummers who will then join the competition, therefore, the expression that represent the number of drummers in the competition next year will be gotten as:
= 30 - 5 + d
= 25 + d
Therefore, the expression is 25+d.
Suppose the dimensions of a rectangular pyramid are doubled. How does this affect its volume?
The volume is 4 times the original volume.
The volume is 2 times the original volume.
The volume is 9 times the original volume.
The volume is 8 times the original volume.
Answer:
I think its 2 times the original volume, im so sorry if im wrong!!
Step-by-step explanation:
Edit: I thought it was two but i guess it was 4, heres the real answer for people who were wondering, im so sorry!!