Please use method of substitution numbers 9;10;11;12
Answer:
1. x = 1, y = 2.
12. x = 1, y = -3.
Step-by-step explanation:
I won't do all these for you, just the first and the last. The method is similar for all 12.
1.
y = x + 1
x + y = 3
Substitute y = x + 1 into the second equation:
x + y = 3 so:
x + (x + 1) = 3
2x + 1 = 3
2x + 1 -1 = 3 - 1
2x = 2
x = 1.
Now substitute x = 1 into the first equation to get the value of y:
y = x + 1
y = 1 + 1
y = 2.
12.
4x = y + 7
3x + 4y + 9 = 0
Solve for y in the first equation:
4x = y + 7 Subtract 7 from both sides of the equation:
4x - 7 = y + 7 - 7
y = 4x - 7.
Now substitute y = 4x - 7 in the second equation:
3x + 4y + 9 = 0 so:
3x + 4(4x - 7) + 9 = 0
3x + 16x - 28 + 9 = 0
19x - 19 = 0
19x - 19 + 19 = 0 + 19
19x = 19
x = 19/19 = 1.
Now substitute x = 1 in the first equation:
4x = y + 7
4*1 = y + 7 Subtract 7 from both sides of the equation:
4 - 7 = y + 7 - 7
-3 = y.
I need help with number 13.
Answer:
Angle of CBD is 34 degrees
Step-by-step explanation:
[tex]Angle CBD + 45 = 79[/tex]
Subtract 45 on both sides
AngleCBD = 34
Which division problems below have the same quotient as –27 ÷ 9? Check all that apply.
3 ÷ 1
18 ÷ (–6)
–6 ÷ –2
27 ÷ (–9)
–15 ÷ –5
–9 ÷ 3
Answer:
IT'S B,D, AND F.
Step-by-step explanation:
i took the quiz and it was right ;)
Answer:
good luck :P
Step-by-step explanation:
Select the correct answer.
Which inequality is equivalent to the given inequality?
-4(x + 7) <3(x - 2)
A.
-75 <22
B.
-75 > -34
C.
- 75 > 22
D.
- 7x <-34
I think option for the (D)
Grayson charges $35 per hour plus a $35 administration fee for tax preparation. Ian charges $45 per hour plus a $15
administration fee. If h represents the number of hours of tax preparation, for what number of hours does Grayson
charge more than lan?
Answer: h<2
Step-by-step explanation:
Write an equation that represents the line.
Answer:
Step-by-step explanation:
(0,3) (2,6)
(6 - 3)/(2 - 0) = 3/2
y - 3 = 3/2(x - 0)
y - 3 = 3/2(x - 0)
y = 3/2x + 3
Charlie runs a screen printing company and is resetting a machine he uses to print triangular banners. He knows the amount of material he needs for the banner as well as the height of the triangle, but he needs to set the machine to a new measurement for the triangle’s base. To help Charlie determine the new measurement, rewrite the standard formula for the area of a triangle, A = bh, to solve for the base, b. Enter the correct answer in the box.
Answer:
b= 2a/h
Step-by-step explanation:
The new measurement can be obtained by the formula b = 2A/h the answer is b = 2A/h
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have:
Charlie runs a screen printing company and is resetting a machine he uses to print triangular banners.
Given:
A = bh/2
Make subject as b
2A = bh
b = 2A/h
Thus, the new measurement can be obtained by the formula b = 2A/h the answer is b = 2A/h
Learn more about the triangle here:
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Solve 9x2 + 6 = 12x
1. 1 plus or minus i square root 10
2. the quantity of 2 plus or minus i square root 10 all over 3
3. the quantity of 2 plus or minus i square root 2 all over 3
4. 1 plus or minus i square root 2
Step-by-step explanation:
9x² + 6 = 12x
3x² + 2 = 4x
3x² − 4x + 2 = 0
Use quadratic formula.
x = [ -b ± √(b² − 4ac) ] / 2a
x = [ -(-4) ± √((-4)² − 4(3)(2)) ] / 2(3)
x = [ 4 ± √(16 − 24) ] / 6
x = [ 4 ± √(-8) ] / 6
x = (4 ± 2i√2) / 6
x = (2 ± i√2) / 3
how to evaluate p/4 + pq when p=8 and q=6
Answer:
50
Step-by-step explanation:
(8)/4+(8)(6)
2+48
50
Answer:
Step-by-step explanation:
8/4 + (8)(6)
2 + 48 = 50
-2 (x+3)+5x=-39 simplify answer
Answer:
x=-11
Step-by-step explanation:
-2(x+3)+5x=-39
Remove parenthesis
-2x-6+5x=-39
Collect like terms
3x-6=-39
Move the constant to the right
3x=-39+6
Calculate
3x=-33
Divide both sides by 3
x=-11
Properties of Special Triangles:
Calculate the size of angle AEF
Answer:
90 degrees
Step-by-step explanation:
Answer:
The angle of AEF is 90°.
Step-by-step explanation:
Given that DEF is an equilateral triangle so all angles are the same which is 60° and in a regular square, all angles are 90°. Next, we have to find ∠ADE :
∠EDF = 60° / ∠CDF = 180° / ∠CDA = 90°
∠ADE = 180° - ∠EDF∠CDA
∠ADE = 180° - 60° - 90°
∠ADE = 30°
Given that ADE is an isosceles triangle so ∠ADE and ∠AED have the same angles. Lastly, we have to find ∠AEF by adding ∠AED and ∠DEF together :
∠AED = 30° / ∠DEF = 60°
∠AEF = ∠AED + ∠DEF
∠AEF = 30° + 60°
∠AEF = 90°
The square root of which perfect square is also a perfect square?
A. 4
B. 16
C. 36
D.64
Answer:
B. 16
Step-by-step explanation:
A. 4
√4 = 2B. 16
√16 = 4 = 2²C. 36
√36 = 6D.64
√64 = 8someone please help,
Determine if the statement below makes sense. Explain.
Four friends administered a bake sale table for a day. They made a total of $376.35 over the course of the day. Determined to give everyone an equal share of the money, each friend received $94.0875.
A. This statement makes sense. Dividing 376.35 by 4 results in 94.0875.
B. This statement does not make sense. Money values must be rounded to the nearest dollar. Each friend should receive $94.
C. This statement does not make sense. Money values must be rounded to the nearest cent. Each friend should receive $94.08.
D. This statement does not make sense. Dividing 376.35 by 4 results in 91.8375. Each friend should receive $91.8375 instead.
Answer:
c
Step-by-step explanation:
$376.35 / 4 does equal to $94.0875 but when it comes to money, it should be rounded to the nearest cent being $94 and .08 cents.
1.Inverso aditivo de -7
2. Inverso aditivo de -6
Answer:
1. 7
2. 6
Step-by-step explanation:
An inverse additive is a number that when added to its additive inverse equals 0. So, in this case -7 +7 = 0 and -6 +6 = 0.
find MN , i need it please and thanks
Plz help
For her cellular phone service, Kinsley pays $40
plus $15 per gb of data. Write an expression to
represent the amount of money Kinsley
spends for g gb of data.
Rashad is having a picnic for 62 guests. He plans to serve each guest at least one hamburger. If each package, p, contain eight hamburgers, write the inequality that could be used to determine how many packages of hamburgers will Rashad will need to buy
Answer: 59
Step-by-step explanation:
solve for k 4.5+1.5k=18−3k
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{k = 3}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{4.5 + 1.5k = 18 - 3k}[/tex]
Move 3k to left hand side and change it's sign
Similarly, move 4.5 to right hand side and change it's sign
[tex] \longrightarrow{ \sf{1.5k + 3k = 18 - 4.5}}[/tex]
Collect like terms
[tex] \longrightarrow{ \sf{4.5k = 18 - 4.5}}[/tex]
Subtract 4.5 from 18
[tex] \longrightarrow{ \sf{4.5k = 13.5}}[/tex]
Divide both sides by 4.5
[tex] \longrightarrow{ \sf{ \frac{4.5k}{4.5} = \frac{13.5}{4.5} }}[/tex]
Calculate
[tex] \longrightarrow{ \sf{k = 3}}[/tex]
Hope I helped!
Best regards! :D
Answer:
k = 3
Step-by-step explanation:
Subtract 4.5 from both sides:
4.5 + 1.5k = 18 - 3k
-4.5 -4.5
1.5k = 13.5 -3k
Subtract -3k from both sides:
1.5k = 13.5 - 3k
+3k +3k
4.5k = 13.5
Now simplify:
4.5k = 13.5
k = 3
Oscar measured a community college and made a scale drawing. The scale he used was 5 millimeters: 3 meters. The actual length of a building at the college is 111 meters. How long is the building in the drawing?
Answer:
It is 50
Step-by-step explanation:
Answer:
32 milimeters
Step-by-step explanation:
Simplify to a single power of 4: \frac{4^{8} }{4^{5} }
Answer:
4^3 or 64
Step-by-step explanation:
[tex]\frac{4^{8} }{4^{5} }\\\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{4^8}{4^5}=4^{8-5}\\\\4^{8-5}=64\\\\or\: 4^3[/tex]
Which bot will click more times in 10 seconds?
Bot #1 16 clicks in 2 seconds
Bot #2 30 clicks in 30 seconds
A parallelogram has a base of 10 centimeters and a height of 4 centimeters. What is the area of the parallelogram?
Step-by-step explanation:
Area of a parallelogram=base×height
=10×4
=40cm^2
The area of the parallelogram is 40 square cm if the parallelogram has a base of 10 centimeters and a height of 4 centimeters.
What is parallelogram?In two-dimensional geometry, it is a plane shape having four sides, in which two pairs of sides are parallel to each other and equal in length. The sum of all angles in a parallelogram is 360°.
It is given that:
A parallelogram has a base of 10 centimeters and a height of 4 centimeters.
As we know:
Area of a parallelogram = base×height
Area of a parallelogram = 10×4
Area of a parallelogram = 40 square cm
Thus, the area of the parallelogram is 40 square cm if the parallelogram has a base of 10 centimeters and a height of 4 centimeters.
Learn more about the parallelogram here:
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Factor the polynomial expression 16y^4 - 625x^4
Answer:
(25x2 + 4y2) (5x + 2y) (−5x + 2y)
Step-by-step explanation:
Factor 16y4−625x4
−625x4 + 16y4
=(25x2 + 4y2) (5x + 2y) (−5x + 2y)
Answer: (4y^2+25x^2)(2y+5x)(2y-5x)
Step-by-step explanation: I just did it and got it correct.
I NEED HELP ASAP, ITS DUE TODAY
USE BASIC PROPERTIES TO SOLVE THE EQUATIONS
8(16+24)=8(16)+8m
8(4x)=(8 times 4)100
Choose values for a, b, and c to show that a Distributive property for addition over multiplication, a+(b times c)=( a + b) times ( a + c), does not hold true for all whole numbers
Doug dives from a platform that is 7.5 meters above water. His dive takes him 2.4 meters below the surface of the water. How far does Doug's dive take him.
Answer:
9.9 meters
Step-by-step explanation:
7.5+2.4=9.9 meters
When you write a
decimal as a fraction, how do you know what
number to use for the denominator?
find three consecutive even integers if the third is 8 less than twice the second
Answer:
8, 10, 12
Step-by-step explanation:
Because they are even there is a whole number x so that (1st)2x, (2nd) 2x+2, and (3rd)2x+4 are the 3 consecutive integers.
so
If the third is 8 less than twice the 2nd then:
3rd = 2 (2nd) - 8
2x + 4 = 2 (2x+2) - 8
2x + 4 = 4x + 4 - 8
2x + 4 = 4x - 4 Add 4 to each side
2x + 4 + 4 = 4x - 4 + 4
2x + 8 = 4x Subtract 2x from each side
2x - 2x + 8 = 4x - 2x
8 = 2x Divide each side by 2
8/2 = 2x/2
8/2 = x
4 = x
No we plug into our equations to find the integers.
2x = 2(4) = 8
2x + 2 = 2(4) + 2 = 8 + 2 = 10
2x + 4 = 2(4) + 4 = 8 + 4 = 12
So our integers are 8, 10, 12
Can u help me ASAP!!!
uan spent 10 minutes on his history homework and 3 minutes per question on his math homework. Which graph shows the total homework time, t, related to the number of math questions, q? Discrete graph on a coordinate plane shows number of math questions, numbered 1 to 8 along the horizontal axis, and total homework time, numbered 5 to 40, on the vertical axis. Solid circles appear at points (0, 10), (1, 13), (2, 15), (3, 19), (4, 22), (5, 25), (6, 29), (7, 32), (8, 34). Continuous graph on a coordinate plane shows number of math questions, numbered 1 to 8 along the horizontal axis, and total homework time, numbered 5 to 40, on the vertical axis. Solid circles appear at points (0, 10), (1, 13), (2, 15), (3, 19), (4, 22), (5, 25), (6, 29), (7, 32), (8, 34).
Answer:
Graph 1
Discrete graph on a coordinate plane shows number of math questions, numbered 1 to 8 along the horizontal axis, and total homework time, numbered 5 to 40, on the vertical axis. Solid circles appear at points (0, 10), (1, 13), (2, 15), (3, 19), (4, 22), (5, 25), (6, 29), (7, 32), (8, 34).
