Answer:
x = 24 x = 7
Step-by-step explanation:
|2x-31| = 17
Absolute value equations have 2 solutions, one positive and one negative
2x-31 = 17 and 2x-31 = -17
Add 31 to each side
2x-31+31 = 17+31 and 2x-31+31 = -17+31
2x = 48 2x = 14
Divide by 2
2x/2 = 48/2 2x/2 = 14/2
x = 24 x = 7
Answer:
24
To find:
x
Step-by-step explanation:
2x-31 = 17
2x=17+31
2x=48
x=48/2
x=24
hope it helps you!
A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the shadow to the tip of the flagpole is 32 degrees. how tall is the flagpole? round your answer to the nearest foot.
Apex: 25 feet is the correct answer!
Step-by-step explanation:
Take it or leave it:) Good Luck
The height of the pole is 25 foot (approximate)
What is angle of elevation?The angle of elevation is the angle formed between the horizontal line and a given observer’s line of sight. From its name, the angle of elevation represents the angle formed by the ground or base and the direction or the observer’s line of sight as the observer looks up at an object.
Given,
The shadow of the flagpole = 40 foot,
and the angle from the tip of the shadow to the tip of the flagpole = 32°
Perpendicular is the height of the pole and Base is its shadow.
Tan(x)=(perpendicular)÷(base)
Tan(32°) = 0.624869352
0.624869352 = (height of pole)÷40
0.624869352 x 40 = height of pole
24.9947741 = height of pole
Height of pole = 24.9947741
Height of pole ≈ 25 foot
Hence, tthe height of the pole is 25 foot (approximate)
Learn more about angle of elevation:
https://brainly.com/question/20692301
#SPJ2
10 points
Find the DISTANCE between point (3, -8) and point (-11,5). *
Answer:
19.1
Step-by-step explanation:
Sam is seven times as old as Tim.If Sam is 42 how old is Tim?
Answer:6 because 42/7=6
Step-by-step explanation:
The formula for profit is
P = R - C.
a. Solve the formula for R.
b. Use the new formula to find the value of R given that
P = $350 and C = $520.
Answer:
a) R=P+C
b) $870
Step-by-step explanation:
a)
since P=R-C we can do the following to solve the equation for R:
P=R-C
P+C=R-C+C (add C to both sides to get R by itself)
P+C=R
b) P=350 C=520
since R=P+C,
R=350+520
R=870
Answer:
Use the new formula to find the value of R given that
Trapezoid G H J K is rotated about G 90 degrees counterclockwise to form trapezoid G prime H prime J prime K prime. Trapezoid G prime H prime J prime K prime is reflected across the line of reflection m to form trapezoid G double-prime H double-prime J double-prime K double-prime.
What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?
a translation to the right
a reflection across line m
a 90° rotation about point G
a 180° rotation about point G
Answer:
B: A reflection across line m
Step-by-step explanation:
Answer:
A reflection across line m
Step-by-step explanation:
The answer above is correct.
what is the x intercept for y= 3x - 8
Answer:
The x-intercept would be 8/3.
Answer:
(8/3, 0)
Step-by-step explanation:
Find five liner solutions to the liner equation x-3/2y=-2 and plot the solutions as points o n a coordinate plane
PLEASE HELP i am failing math
Answer:
y=2x+4
if you need more help comment
Three friends order a pizza. Danny eats 1/2 of the pizza, Mike eats 1/3 of the pizza, and Chris eats 1/6 of the pizza. The next day they order a pizza and Danny eats 1/8, Mike eats 1/2, and Chris eats 3/8. Who ate the most pizza over the two days?
Answer:
It Mike who ate the most pizza
Step-by-step explanation:
Tyson and his friends go to ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour. Which equation can be used to find h, the number of
hours he can skate, if he pays a total of $37.50?
37.50 -4.80 + 18.30h
37.50 - 18.30 + 4.80 +h
37.50 - (18.30 + 4.80)
37.50 - 18.30 + 4.80h
Answer: 37.50-18.30+4.80h
EASY You make a salad to share with friends. Your sister eats 1/3 of it before your friends arrive. You want to divide the leftover salad evenly among six friends. Which expression describes the situation? *
A. 6 ÷ 2/3
B .2/3 ÷ 6
Answer:
b
Step-by-step explanation:
Answer:
I would have to say B, because 2/3 divided by 6 = 1/9. Plus, I think this would make sense considering we're dealing with a fraction problem. I hope this will help m8! ;)
Step-by-step explanation:
A hybrid car uses 1 gallon of gasoline to drive 54 miles. How many gallons of gasoline would be used to travel 162 miles?
Answer:
3 gallons
Step-by-step explanation:
if 1 gallon is consumed for 54 miles
what about 164 miles ..
so you take 1 * 162
..........
54
Solve for x and y.
(please help asap)
Answer:
x = 4
y = 1
Step-by-step explanation:
At first, let us find the third angle in the triangle which has a right angle and an acute angle of measure 52°
∵ The sum of the interior angles of a triangle is 180°
∴ 52° + 90° + (6x + 14y)° = 180°
→ Add the like terms
∴ 142° + (6x + 14y) = 180°
→ Subtract 142° from both sides
∴ (6x + 14y)° = 38° ⇒ (1)
→ By using the two triangles
∵ The two triangles are congruent
∴ (15x - 8y) = 52° ⇒ (2)
Now we have a system of equations to solve it
→ Multiply equation (1) by 5 and equation (2) by -2 to make the
coefficients of x equal in values and different in signs
∵ 5(6x + 14y) = 5(38)
∴ 30x + 70y = 190 ⇒ (3)
∵ -2(15x - 8y) = -2(52)
∴ -30x + 16y = -104 ⇒ (4)
→ Add equations (3) and (4) to eliminate x
∵ 86y = 86
→ Divide both sides by 86 to find y
∴ y = 1
→ Substitute the value of y in equation (1) to find x
∵ 6x + 14(1) = 38
∴ 6x + 14 = 38
→ Subtract 14 from both sides
∴ 6x = 24
→ Divide both sides by 6
∴ x = 4
equation represents a line which is parallel to the line 3y-x=-15?
Answer:
Any equation that has the same slope
Step-by-step explanation:
If two li es have the same slope that means they will never intercept
WILL AWARD BONUS POINTS FOR A GOOD ANSWER! URGENT! Justin's sand castle is 180 cm tall but the wind is blowing away sand at a rate of 8 cm per minute. Taylor's sand castle is 160 cm tall and she is adding sand to it at a rate of 6 cm per minute. After how many minutes will their sand castles be at an equal height?
Answer:
I think around 17 min...
Step-by-step explanation:
there is 60 sec in a minute so divide 60/8 , divide 60/6, then add them together....
60/8= 7.5 and 60/ 6=10
so 7.5+10 = 17.5
somewhere around there
Estimate and then solve the equation.
x − 174
5
= − 131
5
The estimated equation is
.
The estimated solution is x =
.
The actual solution is x =
.
Answer:
Estimate and then solve the equation.
x − 174
5
= − 131
5
The estimated equation is
✔ x – 18 = -13.
The estimated solution is x =
✔ 5.
The actual solution is x =
✔ 4 3/5.
Hope this helps!
edugenuity
A restaurant chef ordered 4 pounds of beef at $3.25 per pound, 6 pounds of potatoes at $1.96 a pound, and 5 pounds of carrots at $1.81 per pound. He estimates that this will make 28 meals. If he charges $20 per meal, how much profit will he make for each meal?
Answer:
Profit = $18.8 per meal
Step-by-step explanation:
Chef ordered beef = 4 pounds
Cost of beef = $3.25 per pound
Total cost of beef = 4 × 3.25 = $13
Amount of potatoes ordered = 6 pounds
Cost of potatoes = $1.96 per pound
Total cost of potatoes = 6 × 1.96
= $11.76
Amount of carrots ordered = 5 pounds
Cost of carrots = $1.81 per pound
Total cost of carrots = 5 × 1.81 = $9.05
Total amount of beef, potatoes and carrots = $13 + $11.76 + $9.05
= $33.81
Number of meals prepared with material purchased = 28
Per meal cost = [tex]\frac{33.81}{28}[/tex] = $1.2075
Selling price of one meal = $20
Profit per meal = Selling price - Cost price
= 20 - 1.2075
= 18.7925
≈ $18.8
Therefore, he will make $18.8 for each meal.
A bakery sold a total of 500 cupcakes in a day, and 93% of them were vanilla flavored. How many of the cupcakes sold that day were vanilla flavored?
Which of the following statements is true?
The number 0 is a natural number.
The number is an integer.
The value π is a rational number.
The number -5 is a real number.
Answer: the number -5 is a real number
Real numbers are both negative and positive numbers. -5 is a negative number. Since real numbers include negative numbers, -5 is the answer.
Hope this helps!
Answer:
the number -5 is a real number
Step-by-step explanation:
In the cafeteria, 104 milk cartons were put out for breakfast. At the end of breakfast, 17 remained. A. What is the ratio of the number of milk cartons taken to the total number of milk cartons? B. What is the ratio of the number of milk cartons remaining to the number of milk cartons taken?
Answer:
(A) 87/104
(B) 17/87
Step-by-step explanation:
The first step is to calculate the number of milk carton that was taken
= 104-17
= 87
(A) The ratio of the number of milk carton taken to the total number of milk carton can be calculated as follows
= 87/104
(B) The ratio of the number of milk cartons remaining to the number of milk cartons taken can be calculated as follows
= 17/87
help please! absolute value equations!
Answer:
n = -1 n = -7
Step-by-step explanation:
5| 2n+8| +3 = 33
Subtract 3 from each side
5| 2n+8| +3-3 = 33-3
5| 2n+8| = 30
Divide by 5
5/5| 2n+8| = 30/5
| 2n+8| = 6
An absolute value equation has two solutions, one positive and one negative
2n+8 = 6 2n+8 = -6
Subtract 8 from each side
2n+8-8=6-8 2n+8-8 = -6-8
2n = -2 2n = -14
Divide by 2
2n/2 = -2/2 2n/2 = -14/2
n = -1 n = -7
what is y=3x^2+24x+45
x/7= -9
need help with
Answer:
x = -63
Step-by-step explanation:
To isolate x, you must first do the reciprocal on both sides, so you do 7/x times x/7 cancel that out, then do it on the other side, so -9/1 x 7/x = -63.
Answer:
x = -63
Step-by-step explanation:
To isolate x, you must first do the reciprocal on both sides, so you do 7/x times x/7 cancel that out, then do it on the other side, so -9/1 x 7/x = -63.
Cube root of a negative number is
(a) Positive
(b) 0
(c)negative
(d)not define
Answer:
(c) negative
Step-by-step explanation:
hope this helps
Which analogy best represents the relationship between jobs and careers? "a muffin or a cookie," and a job is like "baked goods." "tools," and a job is like "a hammer or a screwdriver." "a building block," and a job is like "a castle or a tower." "a speedboat or a powerboat," and a job is like "a sailboat."
Correct options read:
A) A career is like “a muffin or a cookie,” and a job is like “baked goods.”
B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”
C) A career is like “a building block,” and a job is like “a castle or a tower.”
D) A career is like “a speedboat or a powerboat,” and a job is like “a sailboat.”
Answer:
B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”
Explanation:
Remember, a simile is a figure of speech that makes an analogy or that compares one thing with another thing of a different kind using words like 'as', or 'like'.
Hence, what this entails is that the career one pursues is like "tools", and what constitutes a person's career or "tool" is their job ("a hammer or a screwdriver").
Answer:
B: A career is like “tools,” and a job is like “a hammer or a screwdriver.”
Step-by-step explanation:
Which ordered pairs make both inequalities true? Select two options.
15142
y 231+1
Answer: The points C(1,2) and E(2,2) make both inequalities true
Step-by-step explanation:
we have
-----> inequality A
The solution of the inequality A is the shaded area below the dashed line
------> inequality B
The solution of the inequality B is the shaded area above the solid line
The solution of the system of inequalities is the shaded area between the dashed line and the solid line
see the attached figure
Remember that
If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities and the point lie on the shaded area of the solution
Plot the points and verify if lie on the shaded area
Let
see the attached figure
The points C(1,2) and E(2,2) lie on the shaded area
The points A(-1,3) and B(0,2) satisfy inequality B but don't satisfy inequality A
The point D(2,-1) satisfy inequality A but don't satisfy inequality B
therefore
The points C(1,2) and E(2,2) make both inequalities true
y’all tryna help me :/
Answer:
4.12
Step-by-step explanation:
a^2 + b^2 = c^2
a^2 + 8^2 = 9^2
a^2 + 64 = 81
-64 -64
a^2 = 17
square root of 17 = 4.12310
round to the nearest hundredth 4.12
find the side length of x . round your answer to the nearest hundredth of 11,14, x
Answer:
17.8
Step-by-step explanation:
use [tex]a^{2} +b^{2} =c^{2}[/tex] to get your answer
Robert is moving and must rent a truck. In addition to an initial fee, the rental company charges a fee of $1.50 per mile driven. If Robert were to drive 4 miles, the total cost would be $26. Write an equation for C, in terms of m,m, representing the total cost of renting the truck if Robert were to drive mm miles.
Answer:
son $23.345 creo que si espero que si sea
2(5x+5) + 9(x-10) + 9-squared
Step-by-step explanation:
We'll use BODMAS to solve this
Open the brackets :
2(5x+5)+9(x-10)+9sq = 10x+10+9x-90+81Then we arrange them accordingly :10x+9x+10-90+81 We then calculate :19x+10-90+81BODMAS :19x+91-90 = 19x+1ANSWER :19x+1A survey asks students to name their favorite outdoor activity. 12 students say bike riding, 8 students say climbing trees, and 5 students say swimming. Mia says that 40% olf the students say their favorite activity is climbing trees. Is she correct? Explain
Answer:
Mia is incorrect. 32% of the students say climbing trees is their favorite.
Step-by-step explanation:
Percentage of the students that chose climbing trees = number of students that chose climbing trees ÷ total number of students surveyed × 100
Number of students that chose climbing trees = 8
Total number of students = those that chose riding bike + those that chose climbing trees + those that say swimming = 12 + 8 + 5 = 25
Therefore,
% of the students that say climbing trees = [tex] {8}{25}*100 = \frac{800}{25} = 32 [/tex].
Mia is wrong.
32% say climbing trees is their favorite. NOT 40%.