x = 2y+8
Step-by-step explanation:
3x-y = 14
3(2y+8)-y = 14
6y+24-y = 14
5y = 14-24
y = -10/5
y = -2
now,
x = 2y +8
x = 2(-2)+8
x = 4
Therefore, the value of x is 4 and y is -2.
Kim brought $39.75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 4 as much as the sketchbook, and the sketchbook cost 2 3 the cost of the paint set. Kim had $4.00 left over after buying these items
Answer:
I can't get past hre, equations are attached tho
Step-by-step explanation:
Equations:
[tex]b + s + p = 35.75[/tex]
[tex]\frac{1}{4} b = s[/tex]
[tex]\frac{2}{3} s = p[/tex]
Now I used Desmos to solve this, im sure theres a way to find it the legit way but i'm too lazy. Here's the image of what the graph is like:
brush =$20.21,. sketchbook =$6.21 , paint set=$9.32
Step-by-step explanation:
let the cost of the brush=x
the cost of the sketchbook=y
the cost of the paint set= z
total money used= $39.75-$4.00
=$35.75
x= 14+y
but y=2/3z
x= 14+2/3z
14+2/3z +2/3z +z =35.75
3×14 +3×2/3z+3×2/3z×3z=3×35.75
42 +2z +2z +3z =107.25
7z=107.25-42
7z=65.25
z=65.25/7
z=$9.32
y=$2/3×9.32
y=$6.21
x=14+y
x=14+6.21
x=$20.21
Nikki use some cloth to make a miniature tent, as shown in the figure. How much cloth did she use to make the tent?
A.
61 square inches
B.
140 square inches
C.
272 square inches
D.
296 square inches
E.
300 square inches
Answer:
D. 296 square inches
Step-by-step explanation:
The surface area of a prism is the total area of all its faces.
A triangular prism has three rectangular faces and two triangular faces.
As all 3 sides of the triangle face of this prism are equal, each of the 3 rectangular faces are also equal in area.
Formulae
Area of a triangle = 1/2 x base x heightArea of a rectangle = width x lengthFrom inspection of the diagram:
⇒ Area of a triangle = 1/2 x 8 x 7 = 28 in²
⇒ Area of a rectangle = 8 x 10 = 80 in²
Total surface area
Total surface area = 3 rectangle areas + 2 triangle areas
= (3 x 80) + (2 x 28)
= 296 in²
Answer:
296
Step-by-step explanation:
have a great day
Harry owes his father $80. He makes $45 cutting grass on Saturday morning and has another grass cutting job
on Saturday afternoon. Which inequality shows how much Harry will need to eam on Saturday afternoon to
have enough to pay his father back?
a. 45 + x > 80
b. 45 + x 2 80
c. 45 + x < 80
d. 45 + x < 80
Answer:
$45 + $x = $80
I NEED THIS ASAP WORK IS ABOUT TO BE DUE IN A COUPLE OF HOURS
Answer:
D
Step-by-step explanation:
The interquartile range is the difference between the last dot on the box and the first dot on the box.
20 - 40:
150 - 110 = 40
50 - 70:
125 - 95 = 30
A student rounded 3872 to the nearest hundred and to the nearest thousand. The student noticed that the results, 3900 and 4000, were not equal. The student claimed that the two results will never be equal when a number is rounded to the nearest thousand
what TWO numbers could be used to show that the student's claim is incorrect
select TWO correct answers.
A. 43,594
B. 55,962
C. 67,299
D. 72,357
E. 81,974
Answer:
C & D
Step-by-step explanation:
The two answers would be the same.
Hope this is correct.
BTW today is my bday.
Eleven more than three times a number is at most 62
Answer:
11-3×62=496
Step-by-step explanation:
by getting 8 by subtracting 11 and 3 yoy can do this
[tex]62[/tex]
[tex] \times 8[/tex]
The number is 17 and less and the inequality is 3x + 11 ≤ 62
Given,
Eleven more than three times a number is at most 62
We need to find the number and the inequality.
What are the inequalities?
< mean less than
> means greater than
≤ means less than or greater than
≥ means greater than or equal to
Find the meaning of the statement.
more than means adding
times means multiply
At most 62 means the maximum is 62 and we use ≤ 62.
Find the expression.
Eleven more than three times a number is at most 62
Let x be the number.
3x + 11 ≤ 62
Find x value.
3x + 11 ≤ 62
3x + 11 62
3x ≤ 62 - 11
3x ≤ 51
x ≤ 51/3
x ≤ 17
Thus the number must be 17 and less and the inequality is 3x + 11 ≤ 62
Learn more about how to solve an inequality here:
https://brainly.com/question/17086294
#SPJ2
What do you guys think question 2,3,4 &5 Is called?
2 - cubic centimeters
3- cubic decimeters
4- cubic centisquare
5- cubic millimeters
( cylinder's unit is in cubic due to formula )
(correct me if I'm wrong)
17=3x-4
Find the value of x
Answer:
x=7
Step-by-step explanation:
Please help me calculate the area of all the grey parts of this shape :)
for the following question, true or false.
Answer:
False
Step-by-step explanation:
You can't add without first doing the terms of 2^3---(PENDAS)
How many different plates can be made with 2 vowels and a digit?
============================================================
Explanation:
If repeats are allowed, then we have 5 vowels (a,e,i,o,u) for the first vowel slot, and 5 choices for the second vowel slot. We also have 10 choices for the numeric digit (0 through 9).
There are 5*5*10 = 250 ways to make a selection of the form LLN where L stands for "letter" (specifically a vowel) and N stands for "number". An example plate could be AE2.
There are also 250 ways to make a selection of the form LNL and 250 ways to select something of the form NLL.
That means there are 3*250 = 750 ways to make a license plate with two vowels and a digit where repeats are allowed.
PLEASE HELP
What is the middle term of the product of (x - 4)(x - 3)?
A. x
B. -7 x
C. - x
Answer:
x^2−7x+12 so -7x
Step-by-step explanation:
The rate for shipping by air express is $8.50 per 100 kg.
Which is the cost for a 250 kg shipment?
Answer:
It will cost $21.25
Step-by-step explanation:
We can use ratios to solve
8.50 x
-------- = -----------
100 kg 250 kg
Using cross products
8.50 * 250 = 100 x
Divide each side by 100
8.50 * 250/100 = x
21.25 = x
It will cost $21.25
Enzo is driving to his niece's t-ball game. his sister gave him directions. what will
happen if enzo follows these directions?
turn east off 1st avenue at lake drive. drive 3 miles. make a 90° right turn and drive
1 mile. turn 90° at the intersection. you will reach the field in 2 miles.
a
The direction given by Enzo's sister is an illustration of distance
Enzo's distance from the east of 1st avenue to the field is 6 miles
How to describe the directions?From the question, we have the following directions:
Start at east of 1st avenueDrive 3 milesMake a 90 degrees right turnDrive 1 mileTurn at 90 degrees intersectionDrive 2 milesThe above directions imply that the total distance from the east of 1st avenue to the field is:
Distance = 3 miles + 1 mile + 2 miles
Evaluate the sum
Distance = 6 miles
Hence, Enzo's distance from the east of 1st avenue to the field is 6 miles
Read more about distance at:
https://brainly.com/question/4931057
Answer:
He may reach the field but he may also end up at the lake
Step-by-step explanation:
Please help me solve this question
Shannon mistakenly mixed up angles A and B. Notice the side 9 is opposite angle B and not angle A.
She should replace every copy of uppercase A with uppercase B. Also, she should replace lowercase 'a' with lowercase b
This is what her steps should look like
[tex]\frac{\sin B}{b} = \frac{\sin C}{c}\\\\\frac{\sin B}{9} = \frac{\sin 125^{\circ}}{12}\\\\B= \sin^{-1}\left(\frac{9*\sin 125^{\circ}}{12}\right) \approx 37.9^{\circ}\\\\[/tex]
Then we can find angle A like this
[tex]A+B+C = 180\\\\A = 180 - B - C\\\\A \approx 180 - 37.9 - 125\\\\A \approx 17.1^{\circ}\\\\[/tex]
Angle A is approximately 17.1 degrees.
For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x).
Answer:
[tex](f-g)(x)=-x^{2}+2x+8[/tex]
Step-by-step explanation:
[tex]\left( f-g\right) \left( x\right) =f\left( x\right) -g\left( x\right)[/tex]
[tex]=2x+1-\left( x^{2}-7\right)[/tex]
[tex]=2x+1-x^{2}+7[/tex]
[tex]=-x^{2}+2x+8[/tex]
Graph!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
see attached
Step-by-step explanation:
The given equation is in "point-slope" form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Comparing the equation to the form, you see ...
m = 3(h, k) = (-1, -3)__
The equation is easily graphed by plotting the point (-1, -3) and then drawing a line through it that has a slope (rise/run) of 3. That is, the line will go up 3 grid squares for each grid square to the right. (The origin is a point on the line.)
Solve the equation in degrees for all exact solutions where appropriate. Round approximate answers in degrees to the nearest tenth. Write answers using the least possible nonnegative angle measures.
The equation is an illustration of trigonometry ratios, and the non-negative values of x are 30 and 270 degrees
How to solve the equation?The equation is given as:
2sin²(x) + sin(x) = 1
Let y = sin(x)
So, the equation becomes
2y² + y = 1
Rewrite as:
2y² + y - 1 = 0
Expand
2y² + 2y - y - 1 = 0
Factorize
2y(y + 1) - 1(y + 1) = 0
Expand
(2y - 1)(y + 1) = 0
Split
2y - 1 = 0 or y + 1 = 0
Solve for y
y = 0.5 or y = -1
Recall that: y = sin(x)
So, we have:
sin(x) = 0.5 and sin(x) = -1
Take the arcsin of both sides
x = sin⁻¹(0.5) and x = sin⁻¹(-1)
x = 30 degrees and x = 270
Hence, the non-negative values of x are 30 and 270 degrees
#SPJ1
Read more about sine ratios at:
https://brainly.com/question/11967894
is 47°, what is the measure of Z3?
Ο Α. 1536
O B. 43
O C. 133
O D. 47°
Answer:
<3=C. 133
Step-by-step explanation:
Well, angle 2 and angle 3 are corrisponding angles, meaning that they are on the same line, and a line is always equal to 180, and 47 degrees is a part of that line, and you need the other part of that line for angle 3, so you simply subtract 180-47=133 degrees
if x/a =y/b=z/c prove the follong photo
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]\frac{x}{a}= \frac{y}{b} =\frac{z}{c}[/tex]
[tex]Let \: \frac{x}{a}= \frac{y}{b} =\frac{z}{c}=m[/tex]
(where m is any constant)
[tex]\implies[/tex]
[tex]\frac{x}{a}=m\implies x =am[/tex]
[tex]\frac{y}{b}=m\implies y =bm[/tex]
[tex]\frac{z}{c}=m\implies z =cm[/tex]
To Prove:
[tex]\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}=2[/tex]
LHS [tex]=\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}[/tex]
(Plug the values of x, y and z in the form of am, bm and cm respectively in the LHS)
[tex]=\frac{a(am)-b(bm)}{(a+b)(am-bm)}+\frac{b(bm)-c(cm)}{(b+c)(bm-cm)}[/tex]
[tex]=\frac{a^2m-b^2m}{(a+b)m(a-b)}+\frac{b^2m-c^2m}{(b+c)m(b-c)}[/tex]
[tex]=\frac{m(a^2-b^2)}{m(a+b)(a-b)}+\frac{m(b^2-c^2)}{m(b+c)(b-c)}[/tex]
[tex]=\frac{\cancel{m(a^2-b^2)}}{\cancel{m(a^2-b^2)}}+\frac{\cancel{m(b^2-c^2)}}{\cancel{m(b^2-c^2)}}[/tex]
= 1 + 1
= 2
= RHS
[tex]\implies \purple{\bold{\frac{ax-by}{(a+b)(x-y)}+\frac{by-cz}{(b+c)(y-z)}}}=\red{\bold{2}}[/tex]
Thus proved
A dragon flew 300 miles from his castle to visit a friend. Flying with the wind, his trip took 2 hours. His return trip against the wind took 3 hours. What was the speed of the wind and the speed of the dragon in still air?
Please help me. I WILL mark brainliest and give lots of points.
Answer:I’m not sure about the wind but the speed of the dragon is 125mph
Step-by-step explanation:Remember,
Speed=Distance/Time
Distance=Speed x Time
Time=Distance/Speed
Knowing that the distance in both trips was the same, we can say that he flew his trip 150mph (Speed=300/2) the first time and 100mph (Speed=300/3) the second time. Next, we find the average of 150 and 100 and that is (100+150)/2 which is 125. I’m sorry I couldn’t find the speed of wind, but in my defense, I’m only in 6th grade. Hopefully that helped you, good luck!
Answer:
Speed of the wind was
25 miles per hour.
Speed of Mighty Dragon 125 was
miles per hour.
Step-by-step explanation:
math lel
Robert bought a rope that is 28 yards long. He to cut
the rope into 18 inch pieces. How many 18 inch pieces
of rope will he have?
Answer:
The answer is 56. There would be 56, 18 inch pieces of rope.
Step-by-step explanation:
Give Brainliest if you would like :)
_7_ × _ = 744
fill in the blank using the digits from 0 to 9
Step-by-step explanation:
372×2
Hence fill In this order
3 2 2
The solid below is made from cubes.
Find its volume.
Answer:
36 yd^3
Step-by-step explanation:
6*2*3
Miguel did the following math problem: 6 ^5 · 6^ 4 = 36^ 9.
Which of the following is a true statement?
He is incorrect because he multiplied the bases.
He is incorrect because he should have multiplied the exponents.
He is correct.
He is incorrect because he should have subtracted the exponents.
Answer:
He is incroredct because he should have multiplied the bases
Step-by-step explanation:
Answer:
A: He is incorrect because he multiplied the bases.
Step-by-step explanation:
The correct answer would have been: [tex]6^{9}[/tex]
On a coordinate plane, 3 lines are shown. Line a has points (negative 3, 3) and (3, negative 3). Line b has points (negative 3, negative 2) and (2, 3). Line c is parallel to line b.
If line b is perpendicular to line a, and line c is perpendicular to line a, what is the slope of line c?
Answer:
slope c =1
Step-by-step explanation:
slope for line (y2-y1)/(x2-x1)
slope of line a = (-3-3)/(3-(-3))
slope of line a = -6/6 = -1
if line c is perpendicular to line a, so relationship for slops are
(slope a) *(slope c)= -1
(-1)*(slope c) = -1
slope c =1
Answer:
mc = 1
Step-by-step explanation:
Find the surface area of the rectangular prism.
8 mi
2 mi
6 mi
Answer:
mi?
Submit Answer
attempt out of a
Answer:
152
Step-by-step explanation:
2*( (8*2) + (8*^) + (2*6))
I don’t understand this question
Answer:
Step-by-step explanation:
Out of 1200 students in a school , 24% were girls . How may boys were there?
Answer:
912
Step-by-step explanation:
number of girls :
[tex]1200\times \frac{24}{100} =12\times 24=288[/tex]
number of boys :
1 200-288 = 912
Point x (-6,3) is translated 2 units left and 5 units down. Write the coordinates of X'
Answer:
X' (-8,-2)
Step-by-step explanation:
You move -6 two spaces to the left making -8 and 3-5 = -2
