Answer:
x = 3 and y = 5
Step-by-step explanation:
Given equations are :
y=5x−10 ..(1)
y=−3x+14 ...(2)
Subtract equation (2) from (1).
y-y = 5x−10-(−3x+14)
0 = 5x-10+3x-14
0= 8x-24
8x = 24
x = 3
Put the value of x in equation (1).
y=5(3)−10
= 15-10
y = 5
So, the values of x and y are 3 and 5 respectively.
What is the solution to this inequality?
6x−5 > −29
x −4
x>4
Answer: x>−4
Step-by-step explanation:
Let's solve your inequality step-by-step.
6x−5>−29
Step 1: Add 5 to both sides.
6x−5+5>−29+5
6x>−24
Step 2: Divide both sides by 6.
6x/6>-24/6
x>-4Answer:
x > -4
Step-by-step explanation:
I took the test k12
Using the graph determine the equation of the axis of symmetry
Two years ago a man was five times as old as his son. Two years later his age will be eight more than three times as old as his son . Find there present age
Answer:
The age of man is 42 years and the age of his son is 10 years.
Answer: Father 42 and son 10
Let the age of the father is x years and that of the son is y years.
Then by the given question,
x-2=5(y-2)
or, x-5y=-10+2
or, x-5y=-8
or, x=5y-8
x+2=3(y+2)+8
or, x-3y=6+8-2
or, 5y-8-3y=12
or, 2y=12+8
or, y=20/2
or, y=10
then x=5y-8=50-8=42
Then, the age of father is 42 yrs. and the age of sun is 10 yrs.
can some plz help wit dis?
Answer:
x = 15
Step-by-step explanation:
One side length, 49 ft, is given. The opposite side is equal to this. So solve (5x - 26) = 49. Add 49 + 26 to get 75. Then divide 75 by 5 to get 15.
Hope it helps!
i need help answering this 6(2z+5-z)
Answer:
6z+30
Step-by-step explanation:
Answer:
6z+30
Step-by-step explanation:
6(2z+5-z)=6(z+5)=6z+30
Mayra bought $$ grams of rice. Anika bought $$ more than Mayra bought. Select ALL of the equations that represent the relationship between the amount of rice that Mayra bought, $$, and the amount of rice that Anika bought, $$.
Answer:
22
Step-by-step explanation:2
2
solve for x 6(4x+1)=78
Answer:
x=3
Step-by-step explanation:
here,
6(4x+1)=78
or,24x+6=78
or,24x=78-6
or,24x=72
or, x=72/24or, x=3SO, THE ANSWER IS: 3.9(2x + 5) − (x − 4)= ?
Can someone pls help me?
Answer: 24, 10, 68, 17
Step-by-step explanation:
jake travels 6 hours for a total of 444 miles on 20 gallons of gas, rate for gallons and hours.
Answer: 5 gallons per hour.
Step-by-step explanation: To find the unit rate, divide "gallons" by "hours." As we said, we need to find the unit rate. We want a unit rate where 1 is in denominator, so we divide the top and bottom by 6. (Remember, unit means 1.)
[tex]\frac{30/6}{6/6}=\frac{5}{1}[/tex]
Therefore, our answer is 5.
Explain why two perpendicular lines will remain perpendicular if they are both dilated by the same factor
and using the same center
Answer:
because they are congruent to the original angle
Step-by-step explanation:
they are congruent to the original triangle. nothing will change.
The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.
What is congruent?The Two geometric figures should treated be congruent in the case when it should have coincided. Since the both perpendicular lines are dilated by the same factor also the same center should be used due to this, the two perpendicular lines should remain perpendicular.
Therefore, The two perpendicular lines will remain perpendicular because it should be congruent to the original angle.
Learn more about lines here: https://brainly.com/question/24271130
Round and/or estimate then add (nearest hundred)
1) 1242, 951, 749, 877
2) 648, 722, 857, 778
Answer:
1.1200,1000,800,900
2.600,700,900,800
Step-by-step explanation:
pa mark
Find the first five terms of the recursive sequence.
Answer:
The first five terms of the recursive sequence are;
5, 12, 19, 26, 33
Step-by-step explanation:
The given sequence is presented as follows;
aₓ = a₍ₓ ₋ ₁₎ + 7
The first term of the sequence, a₁ = 5
Therefore, we have;
a₂ = a₍₂ ₋ ₁₎ + 7 = a₁ + 7 = 5 + 7 = 12
a₃ = a₍₃ ₋ ₁₎ + 7 = a₂ + 7 = 12 + 7 = 19
a₄ = a₍₄ ₋ ₁₎ + 7 = a₃ + 7 = 19 + 7 = 26
a₅ = a₍₅ ₋ ₁₎ + 7 = a₄ + 7 = 26 + 7 = 33
The first five terms of the recursive sequence are therefore;
5, 12, 19, 26, 33.
Joseph is paid $210 per week, plus $18 for each extended car warranty he sells. His supervisor raises his pay by $35 each week. Which function represents his new weekly pay, R(w), when he sells w extended warranties?
Find the value of x in the triangle. 1 and 4.
Answer:
263
Step-by-step explanation:
^2–x + c
PLS HELP IN THIS QUESTION
AND ALSO PLS SHOW THE WORK
Gianna has 10 yards of fabric. She needs 2/5 of what she has. How much does she need?
Answer:
why does she have so much
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Because 2/5 x 10/1 = 4
The measures of the angles of a triangle are in the ratio 2.3.4. What is the number of degrees in the measure of the largest angle?
Answer:
let ratios be x
2x +3x+4x=180(Sum of triangles)
x=20`
2X=20
x=20×2
X=40
3x=20
X=60
4x=20
x=80
largest angle is 80
Step-by-step explanation:
plz make me brainliest
Answer:
80°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
sum the parts of the ratio, 2 + 3 + 4 = 9 parts
Divide 180° by 9 to find the value of one part of the ratio
180° ÷ 9 = 20° ← value of 1 part of ratio, then
2 parts = 2 × 20° = 40°
3 parts = 3 × 20° = 60°
4 parts = 4 × 20° = 80°
The measure of the largest angle is 80°
write the following number words in symbols. 1.one hundred twenty-seven thousand, four hundred fifty-nine 2.Two hundred six million, three hundred twenty thousand, ninety-six 3.Three hundred twenty-two and 38 hundredths
Ty<33
Need help with mymathlab problem
Which of the values of m and b will create a system of equations will infinitely many solutions y=mx+b ,y=-2x+4
I hope and useful for your help
What is the greatest common factor of
8x - 28
Graph the relation shown in the table. Is the relation a function? Why or why not?
x y
-1 - 3
-1 - 2
0 - -4
4 - 2
No; a vertical line passes through two graphed points.
Yes; no horizontal line passes through two graphed points.
Yes; no vertical line passes through two graphed points.
No; a horizontal line passes through two graphed points.
Answer:
The chosen topic is not meant for use with this type of problem. Try the examples below.
x + 6 y = 5
6 x + 2 y = 8
x − y + 4 = 8
Use the given functions to set up and simplify
2 .
x y =
− 1 =
3 =
− 1 =
2 =
0 − 4 = − 4
4 = − 4
2 = − 4
Step-by-step explanation:
Find the equation with a point and y-intercept.
y = ( y/ x − y ) x + x y
The chosen topic is not meant for use with this type of problem. Try the examples below.
( 0 , 9 ) , ( 8 , 6 )
( 0 , 9 ) , ( 5 , 4 ) , ( 1 , 4 )
( 1 , 2 ) , ( 3 , 4 )
Karl found the products of whole numbers and fractions. Match each expression with its product. 3 × 2 5 × 6 4 × 3 3 × 1 3 8 4 2 36 ❒ ❒ ❒ ❒ 8 3 ❒ ❒ ❒ ❒ 11 ❒ ❒ ❒ ❒ 2 6. What is the product of 2 and 3 6. 2 ❒ ❒ ❒ ❒
The question isn't well formatted :
From what is obvious, the result of the product are given below :
Answer:
2 × 3 = 6
5 × 6 = 30
4 × 3 = 12
3 × 1 = 3
Step-by-step explanation:
Using calculator :
The product of 2 and 3 : 2 * 3 = 6
Product of 5 and 6 : 5 * 6 = 30
Product of 4 and 3 : 4 * 3 = 12
Product of 3 and 1 : 3 * 1 = 3
What angle relationship best describes angles AFC and DFB?
A) Adjacent angles
B) Complementary angles
C) Linear pairs
D) Vertical angles
Answer:
Vertical Angles
Step-by-step
I believe this is the case because since the angles intercept in order to form also it's the only answer that has to do with intercepting from what we can see from the diagram.
There are different types of relationships between angles including alternate, corresponding, vertical, adjacent, complementary and supplementary angles
The correct option for the relationship that best describes angles AFC and DFB is option D;
D) Vertical angles
The reason the chosen option is correct is as follows;
The given diagram shows line EF perpendicular to line AB and line CD crosses line AB at point F
Therefore, the angles ∠AFC and ∠DFB formed by lines AB and CD with their orientation in the order of their names are opposite to each other and other are known as vertical angles
Learn more about vertical angles here:
https://brainly.com/question/18292462
There are 2 gallons for every 8 quarts. If there are 12 quarts, how many gallons are there?
Step-by-step explanation:
To convert from gallons to quarts, multiply the gallon value by the conversion factor. For example, if converting from US fluid gallon to US fluid quart, then multiply the gallon value by 4. For example, to find out how many quarts in a half gallon of water, multiply 4 by 0.5, that makes 2 quarts in a half gallon.
What is the slope of the line
Answer:
[tex]\displaystyle m=\frac{-3}{8}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Reading a Cartesian planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (8, 0)
Point (0, 3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{3-0}{0-8}[/tex][Fraction] Subtract: [tex]\displaystyle m=\frac{3}{-8}[/tex][Fraction] Simplify: [tex]\displaystyle m=\frac{-3}{8}[/tex]Eudora ran from her home to her secret laboratory at an average speed of 12\text{ km/h}12 km/h12, start text, space, k, m, slash, h, end text. She then took one of her jetpacks and flew to her school at an average speed of 76\text{ km/h}76 km/h76, start text, space, k, m, slash, h, end text. Eudora traveled a total distance of 120120120 kilometers, and the entire trip took 222 hours. How long did Eudora spend running, and how long did she spend flying using her jetpack? Eudora ran for hours and flew for hours using her jetpack.
Answer:
Eudora spent 0.5 hours from home to library and 1.5 hours from library to school
Step-by-step explanation:
Given
Home to Library:
[tex]S_1 = 12km/h[/tex] -- Average Speed
Library to School
[tex]S_2 = 76km/h[/tex] -- Average Speed
Total
[tex]Distance = 120km[/tex]
[tex]Time = 2\ hr[/tex]
Required
Determine the time taken from home to library and from library to school
Let the time spent from home to library be x. So, from library to school will be: 2 - x
So, we have:
Home to Library:
[tex]S_1 = 12km/h[/tex] -- Average Speed
[tex]T_1 =x[/tex] -- Time
Library to School
[tex]S_2 = 76km/h[/tex] -- Average Speed
[tex]T_2 =2 - x[/tex] -- Time
Distance is calculated as:
[tex]Distance = Speed * Time[/tex]
Home to Library:
[tex]D_1 = S_1 * T_1[/tex]
[tex]D_1 = 12 * x[/tex]
[tex]D_1 = 12x[/tex]
Library to School:
[tex]D_2 = S_2 * T_2[/tex]
[tex]D_2 = 76 * (2- x)[/tex]
[tex]D_2 = 152- 76x[/tex]
The total distance is 120km. So, we have:
[tex]120km = D_1 + D_2[/tex]
[tex]120 = 12x + 152 - 76x[/tex]
Collect Like Terms
[tex]120 - 152 = 12x - 76x[/tex]
[tex]-32 = -64x[/tex]
[tex]-64x=-32[/tex]
Solve for x
[tex]x = \frac{-32}{-64}[/tex]
[tex]x = 0.5[/tex]
Recall that:
[tex]T_1 =x[/tex]
[tex]T_2 = 2 - x[/tex]
So, we have:
[tex]T_1 = 0.5[/tex]
[tex]T_2 = 2 -0.5 = 1.5[/tex]
Helllllpppp meeeee I neeedddd hellllpppp nowwww pleaseeee
Answer:
C
Step-by-step explanation:
They are all integers so they are rational numbers, they are whole numbers as well except there are negative numbers so they are not all natural.
Your parents give you $20 to help buy the new pair of shoes shown. After you buy the shoes, you have $5.50 left. How much money did you have before your parents gave you $20?
Answer:
$45.45
Step-by-step explanation:
Please find attached an image of the shoe that was used in answering this question
From the image, the price of the shoe is $59.95
Let x be the amount you had with you
The equation that would be used to solve this question is :
(x + 20) - $59.5 = $5.50
Solve for x
x = $45.45
Andy buys 8 juice boxes. Each juice box contains 6.25 ounces of juice. How much juice did Andy buy?
Answer:
8*6.25=50
50
Step-by-step explanation: