Answer:
x = -12.7
Step-by-step explanation:
[tex]8(x-27)+49=87+28x\\\\8x-167=87+28x\\\\8x-167+167=87+28x+167\\\\8x=28x+254\\\\8x-28x=28x-28x+254\\\\-20x=254\\\\\frac{-20x=254}{-20}\\\\ \boxed{x=-12.7}[/tex]
Hope this helps.
Answer:
x=-127/10 or x= -12.7
Step-by-step explanation:
8(x−27)+49=87+28x
Step 1: Simplify both sides of the equation.
8(x−27)+49=87+28x
(8)(x)+(8)(−27)+49=87+28x(Distribute)
8x+−216+49=87+28x
(8x)+(−216+49)=28x+87(Combine Like Terms)
8x+−167=28x+87
8x−167=28x+87
Step 2: Subtract 28x from both sides.
8x−167−28x=28x+87−28x
−20x−167=87
Step 3: Add 167 to both sides.
−20x−167+167=87+167
−20x=254
Step 4: Divide both sides by -20.
−20x/−20
=
254/−20
x=
−127/10
Katie is just hired at a new sales company. She is given a $500 hiring bonus. Additionally she earns an average commission of $250 per week. What is the rate of change and initial value for Katie’s salary and what does it mean in this context?
Answer:
yes there is a mean i got it right on edg 2020
Hope this helps
Step-by-step explanation:
Answer:
Rate of change = 250.
Katie's salary is increasing $250 per week.
Step-by-step explanation:
What is the constant rate of this? Please show your work.
Answer:
3
Step-by-step explanation:
To find the answer, heres what you need to do.
Basically, you divide each number on the right by the number on the left.
15/5= 3
24/8=3
36/12=3
72/24=3
Since all of the answers are 3, your answer is 3
Answer:
3
Step-by-step explanation:
Slope Formula:
y2 - y1/x2 - x1
Let's use (5, 15) and (8,24)
(x1, y1) = (5, 15)
(y1, y2) = (8, 24)
Substitute:
y2 - y1/x2 - x1
24 - 15/8 - 5
Solve:
24 - 15/8 - 5
9/3
= 3
Therefore the slope, or constant rate is 3.
Tip: look at the relationship between Cost and Time.
15/5 = 3
24/8 = 3
36/12 = 3
72/24 = 3
Dividing is a simple way to find the slope!
Community Gym charges a $40 membership fee and a $70 monthly fee. Workout Gym charges a $170
membership fee and a $60 monthly fee. After how many months will the total amount of money paid to
both gyms be the same? What will the amount be?
Answer:
13 months ; $950
Step-by-step explanation:
70x+40 = 60x+170
-40 -40
70x = 60x+130
70x = -60x
-60x = 130
10x = 130
10x/10 = 130/10
13 months
Solve the following 2+(4×7)-9
Which is a graph of a proportional relationship?
Which one?
Answer:
third graph (choice three/bottom left)
Step-by-step explanation:
Anything with a proportional relationship will always have a constant ratio (ratios will always be equivilent).
you can eliminate any graph that has an x or y intercept other than zero, or does not have a straight line.
The two main rules of a proportional graph or direct proportion is that:
the line must go through the origin (0,0)the graph must be linearAnswer:
the bottom left one
Step-by-step explanation:
it starts at the origin and as the x value increases, the y value increases too
you can easily rule out out the top two just because it doesn't start at the origin
On Monday morning Sergio Pappas had $14.78 in cash. During the week he earned $45.00 for cutting lawns and $35.75 for yard work, and he spent $25.23 on food and $22.12 on gas.
# Problem Solution
a. What were Sergio’s total earnings for the week?
b. What total amount did he have to spend during the week?
c. What was his balance at the end of the week?
Answer:
A- 95.53 $ B- 47.35 $ C- 48.18 $
Step-by-step explanation:
45.00+35.75=80.75 (The money Sergio Pappas earned by working.) 80.75+14.78=95.53 (Sergio Pappas money earned by working + initial money.)25.23+22.12=47.35 (Total money lost by Sergio Pappas.)95.53-47.35=48.18 (Total money left by Sergio Pappas over the weekend.)I tried to explain and help as best I could. I hope you understand. Good luck!
Answer:
A- 95.53 $ B- 47.35 $ C- 48.18 $
Step-by-step explanation:
Victor borrowed $19.50 from his mother to go to the theater. A week later, he paid her
$19.50 back. How much does he still owe her?
He owes her $
Answer: $0
Step-by-step explanation:
He paid her back the full amount already so he doesn’t owe anything
Answer:
$0 right?
Step-by-step explanation:
If he borrowed $19.50 and gave her $19.50 back he would owe her $0
If you deposit $5000 at the end of each year for 30 years using an annual interest rate of 9% compounded annually, how much money will you have after 30 years?
Carina begins to solve the equation Negative 4 minus two-thirds x equals negative 6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true?
Answer:
x= 3/2
Step-by-step explanation:
3 and4
Step-by-step explanation:
edge 20
Enter the number in standard notation.
5.39 x 105=?
Answer:
539,000
Step-by-step explanation:
539,000 is 5.39x10^5
What is the factors of 18
Find the values of x, y, and z in the triangle to the right. A triangle has angles labeled as follows: lower left, x degrees; top, y degrees; lower right, z degrees. A ray extends the left side of the triangle and the angles labeled y degrees and (3 x plus 5) degrees form a straight angle. Another ray extends the bottom side of the triangle and the angles labeled z degrees and (3 x minus 5) degrees form a straight angle. X degrees y degrees z degrees left parenthesis 3 x plus 5 right parenthesis degrees left parenthesis 3 x minus 5 right parenthesis degrees
Given:
Consider the below figure attached with this question.
Angles of a triangle are x, y and z.
To find:
The values of x, y and z.
Solution:
If two angles are linear pair, then their sum is 180 degrees.
[tex]y+(3x+5)=180[/tex]
[tex]y=180-3x-5[/tex]
[tex]y=175-3x[/tex]
Similarly,
[tex]z+(3x-5)=180[/tex]
[tex]z=180-3x+5[/tex]
[tex]z=185-3x[/tex]
According the the angle sum property, the sum of all angles of a triangle is 180 degrees.
[tex]x+y+z=180[/tex]
[tex]x+(175-3x)+(185-3x)=180[/tex]
[tex]-5x+360=180[/tex]
[tex]-5x=180-360[/tex]
[tex]-5x=-180[/tex]
Divide both sides by -5.
[tex]x=36[/tex]
The value of x is 36.
[tex]y=175-3(36)[/tex]
[tex]y=175-(108)[/tex]
[tex]y=67[/tex]
Now,
[tex]z=185-3(36)[/tex]
[tex]z=185-108[/tex]
[tex]z=77[/tex]
Therefore, the values of x, y and z are 36, 67 and 77 respectively.
there are 454 grams in a pound there are 16 ounces in a pound how many grams are in a ounce
Answer:
28.3495
Step-by-step explanation:
Answer:
28.3495 or 28 grams
Step-by-step explanation:
I looked it up.
[PLEASE ANSWER ASAP, ON TIME LIMIT!] The pH level of a substance can be determined by the formula pH = –log[H+], where [H+] is the hydrogen ion concentration in moles per liter. An alkaline substance has a pH level between 7 and 14. Which ion concentration corresponds to an alkaline substance?
Answer choices in picture.
Answer:
Option (2)
Step-by-step explanation:
pH level of a substance is determined by the formula,
pH = - log[H+}
where [H+] is the hydrogen ion concentration
Let the [H+] ion concentration = a
a = -log[H+]
log[H+] = -a
[H+] = 1 × [tex]10^{-a}[/tex]
Here 'a' is between 7 and 14.
Which means an alkaline substance must have the concentration between [tex]1\times 10^{-7}[/tex] to [tex]1\times 10^{-14}[/tex].
From the given options, [tex]5\times 10^{-12}[/tex] moles per liter lies in the given range.
Therefore, Option (2) will be the answer.
Answer:
B
Step-by-step explanation:
Edg2020
PLEASE someone help me and show how you got the answer pleaseee.
sorry if it’s blurry but it says Find the midpoint of the segment with endpoints (6,7) and (6,-5)
The x coordinates, 6 and 6, add to 6+6 = 12. Then we cut this in half getting 12/2 = 6.
The x coordinate of the midpoint is 6.
The y coordinates, 7 and -5, add to 7+(-5) = 2. Which cuts in half to get 2/2 = 1.
The y coordinate of the midpoint is 1.
Put together, the midpoint is located at (6,1)
1) true or false: Two triangles with three pairs of corresponding congruent angles are congruent.
2) true or false: Two triangles with two pairs of congruent corresponding angles and three pairs of congruent corresponding sides are congruent.
Step-by-step explanation:
TrueFalseFor two triangle to be congruent,there must be any three sides or angle including congruent
Congruent triangles have three pairs of corresponding sides that are congruent, while two triangles that have three pairs of corresponding congruent angles are similar and not necessary congruent. Therefore:
Statement 1 is FALSE.Statement 2 is TRUE.Recall:
Two triangles having three pairs of corresponding sides have the same shape and size, and are congruent.Two triangles having three pairs of corresponding angles have the same shape but may have different sizes. They are rather similar.1. When the two triangles have the three pairs of corresponding angles that are congruent, they can only be said to be similar. They have the same shape but may be of different sizes.
They will be congruent if all corresponding three pairs of sides of both triangles are congruent.Therefore, statement 1 is FALSE.
2. Knowing that three pairs of corresponding sides of two triangles are congruent, it is enough to prove that both triangles are congruent to each other.
Therefore, statement 2 is TRUE.
Learn more here:
https://brainly.com/question/9795907
What is
1/6
of 42 ?
Arithmetic
Answer:
7
Step-by-step explanation:
hope it helps
Answer:
7
Step-by-step explanation:
1/6 * 42 = 7
If l is parallel to m, find the value of each missing variable
Answer:
x = 18
y = 5
Step-by-step explanation:
From the figure attached,
'l' and 'm' are the parallel lines and two transversal lines are intersecting these parallel lines at points A, B and C.
Since, m∠ABC + (7x - 23)° = 180° [Supplementary angles]
m∠ABC = 180° - (7x - 23)°
m∠BCA = (11y - 1)° [Vertical angles]
m∠BAC = 49°
In ΔABC,
m∠ABC + m∠BAC + m∠CAB = 180°
180° - (7x - 23)° + 49° + (11y - 1) = 180°
-7x + 11y = -71
7x - 11y = 71 ------(1)
Since, sum of consecutive angles is 180°
Therefore, m(∠ABC) + (3x + 49)° = 180°
180° - (7x - 23)° + (3x + 49)° = 180°
-4x = -72
x = 18
From equation (1),
7(18) - 11y = 71
11y = 55
y = 5
what is the slope of this line
Answer:
where is the line?
Step-by-step explanation:
Rewrite the question and I'll do my best to answer it
What is the Range:
-3
y>3
all real numbers
Answer:
y>3 i think
Step-by-step explanation:
do not count on me
Brady is working part time.
He gets paid $7.50 an hour and $5 tip per table.
If Brady worked 10 hours this week, and served 12 tables, how much money did Brady earn?
Answer: brady earned 135 dollars this week.
Step-by-step explanation: 7.50 X 10 + 5 X 12 is 135.
About 13 out of 100 people are left handed. How many people would you expect to be left handed out of 1500?
195 out of 1500 would be left handed
what is the answer to (-5)+(-4)=
Answer:
-9
Step-by-step explanation:
Please help me!! I’ll mark you beainliest
Answer:
11 months
Step-by-step explanation:
50m + 75 >= 600
just solve the inequality like how you would solve an equation, by inverse operations and simplifying
50m + 75 >= 600
-75 -75
50m >= 525
/50 /50
m>= 10.5
just round up, because 0.5 of a month really isn't an answer
so 11 months
write equivalent fractions for 3/5 and 1/4 using 20 as the common denominator
Answer:
12/20=3/5 5/20=1/4 so the answer would be 12/20 + 5/20
Hope this helped you!!
Equivalent fractions for [tex]\boldsymbol{\frac{3}{5},\frac{1}{4}}[/tex] are [tex]\boldsymbol{\frac{12}{20},\frac{5}{20}}[/tex] respectively.
Define equivalent fractions.A fraction is a portion of another or, more broadly, a set of equal pieces. Equivalent fractions are fractional that have the same value notwithstanding their appearance.
[tex]\boldsymbol{\frac{3}{5}=\frac{3\times 4}{5\times 4}}[/tex]
[tex]=\frac{12}{20}[/tex]
[tex]\boldsymbol{\frac{1}{4}=\frac{1\times 5}{4\times 5}}[/tex]
[tex]=\frac{5}{20}[/tex]
So, equivalent fractions for [tex]\boldsymbol{\frac{3}{5},\frac{1}{4}}[/tex] are [tex]\boldsymbol{\frac{12}{20},\frac{5}{20}}[/tex] respectively.
Find out more information about fraction here:
https://brainly.com/question/10354322?referrer=searchResults
Which equation is written in slope-intercept form?
O y = 3x-2
OX=
x-3y+8
O 2x+ 5y = 12
O 3y = 8x-5
Help
Answer:
[tex]y = 3x-2[/tex]
Step-by-step explanation:
[tex]general \: form of \: slope\: intercept \: is : \\ y = m(x) + c[/tex]
2
The figure shows how the yard lines on a football field are numbered. The goal lines
are labeled G. A referee was standing on a certain yard line as the first quarter ended.
3
He walked 41 yards to a yard line with the same number as the one he had just left.
4
How far was the referee from the nearest goal line? Express your answer as a
simplified mixed number.
9514 1404 393
Answer:
29 1/8 yards
Step-by-step explanation:
If the ref is distance 'd' from the goal line, after walking 41 3/4 yards to the same yard line at the other end of the field, he will also be at distance d from that goal line.
Hence the total ...
d + 41 3/4 + d
will be the length of the field between goal lines, 100 yards.
2d +41 3/4 = 100
2d = 58 1/4 . . . . . . subtract 41 3/4
d = 29 1/8 . . . . . . . divide by 2
The referee was 29 1/8 yards from the nearest goal line.
Answer:
29 1/8
Step-by-step explanation:
YOU WILL DO YOU GOOD LUCK
someone help on this question, i need it very badly asap! click on pic!! please help
Answer:
The middle one is first because it's the least expensive, the first one is second and the third one is the most expensive.
Step-by-step explanation: When you divide the price by the ounces, you'll get the price per ounce which will get you your answer.
Which process defines the Fibonacci sequence?
a. exclusive
c. inclusive
b. recursive
d. extensive
Answer:
Recursive.
Step-by-step explanation:
It is recursive because each new term depends on the previous two terms.
Given the equation y = -3/4x + 2 What is the slope?
A.2
B.-3/4
C.1
D.5
What is the y intercept in the question above?
A.2
B.-3/4
C.1
D.5
Answer:
B and A
Step-by-step explanation:
In mx+b formula, the slope is always the number before the X value and the b is always the y-intercept.