Answer:
X= -8
Step-by-step explanation:
First you distribute the 5 to the parenthesis to get 5x-30+4=7x-10. Then subtract 14 on both sides to get 5x-16=7x. Next, subtract 5x from both sides to get -16=2x. Now you divide by 2 on both sides to get -8=x.
Answer: x = - 8
Step-by-step explanation:
The first step in applying the distributive property:
5 (x - 6) + 4 = 7x - 10
5x - 30 + 4 = 7x - 10
The second step is to combine like terms by subtracting 10 from -30, and subtracting 4 from - 20:
5x - 30 + 4 = 7x - 10
5x - 16 = 7x
The third step is to subtract 5x from 7x:
5x - 16 = 7x
- 16 = 2x
The last step is to divide each side by 2 to isolate the variable, or find x:
- 16/2 = 2x/2
- 8 = x
or x = - 8
I hope I helped and have a great day! ^-^
Jayce and Rylee are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised $210. If Jayce raised $70, how many candy bars did he sell?
Answer:
Jaycee sold 28 candy bars
Step-by-step explanation:
Jayce and Rylee are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised $210. If Jayce raised $70, how many candy bars did he sell?
From the above question:
$210 = 84 candy bars
$70 = x candy bars
Cross Multiply
210 × x = 70 × 84
x = 70 × 84/210
x = 28 candy bars
Therefore, Jaycee sold 28 candy bars
Find C.
Round to the nearest tenth.
90 ft
55 ft
A
В
50 ft
C = [? ]°
YLaw of Cosines: c2 = a+ b2 - 2ab cos C
9514 1404 393
Answer:
29.4°
Step-by-step explanation:
The equation can be rearranged to give C directly.
C = arccos((a^2 +b^2 -c^2)/(2ab))
C = arccos((90^2 +55^2 -50^2)/(2·90·55))
C = arccos(8625/9900) ≈ 29.4002°
C ≈ 29.4°
Some steps to construct an angle MNT congruent to angle PQR are listed below.
Step 1: Draw a segment NT.
Step 2: Use a compass to draw an arc from point Q that intersects the side PQ of angle PQR at point A and the side QR at point B.
Step 3:
Step 4: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Step 5: Join points N and Y using a straightedge.
Which statement describes step 3 correctly?
Use the same width of the compass to draw an arc from point T that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point A that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point B that intersects the segment NT at a point X.
From the description of the construction of the congruent angle, we have;
The statement that describes step 3 correctly is; Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
The reason for making the above selection is as follows:
The steps to construct an angle congruent to another angle are;
Step 1: Given an angle PQR, draw a working segment NT
Step 2: Place the needle of the compass at point Q and draw an arc (Q, QA), intersecting sides PQ and QR of the angle ∠PQR at points A and B respectively
Step 3: Place the needle of the compass at point N and draw an arc with the compass width QA from above the to intersect the segment NT at a point X
Step 4: Set the compass width to the distance AB with which an arc is drawn from point X so as to intersect the arc (N, QA) above at point Y
Step 5: The points Y and N are joined with a straight line to form the congruent angle
Analysis of the steps:
Given that in step 4, we have that the the arc drawn from point X with compass width AB is meant to intersect the arc drawn from point N, at point Y, we have that in step 3 an arc was drawn from point N with compass width QA from step 2 to intersect NT at a point X
Therefore;
Step 3 is best described by the following statement;
Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X
Learn more about the construction of congruent angles here:
https://brainly.com/question/9781303
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
This option gives us the step 3.
This is because we want to have equal angles. Therefore we select an arc equal in length to arc AB which intersects NT at point X.
This can be explained more with the help of a diagram.
Two angles are equal when their dimensions are equal.
Arcs of equal length would give congruent angles.
https://brainly.com/question/11406334
can anyone PLEASE HELP ME with this question i really need help
Answer:
x = 49°
Step-by-step explanation:
180 = 90 + 41 + x
x = 180 - 131
x = 49
How would I graph y -1 =-5(x- 2)
50% ÷ 2
First answer gets Brainliest
Answer:
0.25
Step-by-step explanation:
50% divided by 2 is equal to 0.25
also next time instead of wasting your points just ask go0gle or si ri lol but thanks for the points
pls help..thanks,,,,
Answer/Step-by-step explanation:
Given, y = k√x
Let's find the following:
a. To find k, using the first pair given, (64, 16), plug in the values of the ordered pair into y = k√x
Thus:
16 = k√64
16 = k*8
Divide both sides by 8
16/8 = k
k = 2
b. To find F, substitute k = 2, and x = 100 into y = k√x
Thus:
y = 2√100
y = 2*10
y = 20
F = 20
c. To find x, substitute k = 2, and y = 10√2 into y = k√x.
Thus:
10√2 = 2√x
Divide both sides by 2
(10√2)/2 = √x
5√2 = √x
Square both sides
x = (5√2)²
x = 25*2
x = 50
d = 50
Four copies of the triangle shown are joined together, without gaps or overlaps, to make a parallelogram. measurements= 5cm, 13cm, 12cm What is the largest possible perimeter of the parallelogram?
Answer:
Highest Possible Perimeter = 52cm
Step-by-step explanation:
The triangle is not shown. But, the question can still be solved.
The given sides (5cm,12cm and 13cm) of the triangle shows that the triangle is a right angled triangle as proven below:.
[tex]13\² = 5\² + 12\²[/tex]
[tex]169 = 25 + 144[/tex]
[tex]169 = 169[/tex]
Having shown that;
The next step is to determine the highest possible value of the perimeter.
To get the highest possible perimeter;
The 4 triangles have to be joined at the 12cm and 5cm part of each triangle (see attachment).
From the attachment, the perimeter is then calculated as:
Perimeter = 13cm + 13cm + 13cm+ 13cm
Perimeter = 52 cm
Answer: 76
Step-by-step explanation:
Pls tell me the answer,,,
Answer:
I think 3
1
hope it helps.
Answer:
the B Number is the correct answer because 0 is in the gap in 3
Can i have some help plz
Answer:
a) 15 + 25x ≤ 70
b) 60 + 15x ≤ 500
Step-by-step explanation:
a) Let x represent the number of calculators that Ms. Burgos can buy. since each calculator cost $25, then the total cost of calculator = $25 * x = $25x
She bought three notebooks costing $5 each. Money spent on notebooks = 3 * $5 = $15
Hence the total money spent = $15 + $25x = 15 + 25x
She has only $70, therefore:
15 + 25x ≤ 70
b) Cayla initially has $60.
Cayla is saving $15 per week. Let us assume she saves for x weeks, hence money saved by Cayla = 15x
Therefore the total money saved = 60 + 15x
Since Cayla needs to save atleast $500, hence:
60 + 15x ≤ 500
MARK BRAINLEST
Find the equation of the line passing through the points (2, 4) and (3, 2).
Y = [?]x + [?]
Simplify (45-28) - |15-21|
A) 11
B) 17
C) 23
D) 29
(HELP URGENT TWO VARIABLE INEQUALITIES)
(SEE ATTACHED PICTURE)
Which of the following inequalities matches the graph?
A) The correct inequality is not listed.
B) 5x + y ≥ 1
C) 5x + y ≤ 1
D) 5x − y ≥ 1
Answer:
D)
Step-by-step explanation:
Line: y = 5x - 1
The shaded space is less than or equal to the line.
So it is y [tex]\leq[/tex] 5x - 1
This is the same as D)
Multiply 2.3. (-1.2)
Answer:
-2.76
Step-by-step explanation:
2.3x(-1.2)
= -2.76
Find the measure of BEF
Answer:
the answer will be 140
Step-by-step explanation:
i am not sure
Answer:
B. 30
hope it helps.
and sorry, if it's wrong.
Given that g(x)=2x^2-5. Calculate g(x+4)+2
Answer:
[tex]2x^2+16x+29[/tex]
Step-by-step explanation:
Given that,
[tex]g(x)=2x^2-5[/tex]
We need to find g(x+4)+2
[tex]g(x+4)=2(x+4)^2-5\\\\=2(x^2+16+8x)-5\\\\=2x^2+32+16x-5\\\\=2x^2+16x+27[/tex]
Now,
[tex]g(x+4)+2=2x^2+16x+27+2\\\\=2x^2+16x+29[/tex]
So, the value of [tex]g(x+4)+2[/tex] is [tex]2x^2+16x+29[/tex]
how do u answer thiss
Answer:
15 times and more. After she pours the 15th container, in the middle of the next one, the work will be done.
Step-by-step explanation:
Length, Area, and Volume Scale Factors
If two similar shapes have a length scale factor of a:b, then the scale factor of their areas (or surface lateral areas) is [tex]a^2:b^2[/tex] and the scale factor of their volumes is [tex]a^3:b^3[/tex].
We are given the scale factor of the surface areas of two similar containers A and B as 4:25.
The length scale factor is
[tex]\sqrt{4}:\sqrt{25}=2:5[/tex]
The volume scale factor is: [tex]5^3:2^3[/tex] = 125:8 = 15.625
Warda needs to fill with oil and pour into container B 15.625 times to get container B full of oil.
Thus, after she pours the 15th container, in the middle of the next one, the work will be done
A cyclist travels 8 miles in 15 minutes.
What is her average speed in mph?
Answer:
0.53 mph
Step-by-step explanation:
A cyclist travels 8 miles in 15 minutes.
So the average speed is
=8/15 mph
=0.53 mph
I WILL GIVE BRAINLIEST PLS HELP PLS PLS PLS
Jada’s friend has a dog that weighs 90 pounds.
Here is a diagram Jada drew that represents the weight of her friend’s dog and the weight of her puppy.
How many TIMES greater is the dog's weight, compared to the puppy?
Compare the weight of the puppy and the dog using fractions.
Compare the weight of the puppy and the dog using percentages.
Answer:
1. 1.1 times the weight of the puppy
2. 11/10
3. %110
Step-by-step explanation:
11 x 9 = 99
99/90=1.1
1.1 = 11/10 = %110
What he said ^^
1. 1.1 times the weight of the puppy
2. 11/10
3. %110
Step-by-step explanation:
11 x 9 = 99
99/90=1.1
1.1 = 11/10 = %110
Step-by-step explanation:
ion understand this one
Answer:
angle 7 = angle 3 because corresponding angles r equal
If a rectangular prism was 5 feet long, 5 feet high and 6 feet deep, how much would it weigh if one cubic foot weighed 0.1 tons?
Answer:
Total weight = 1,500 tons
Step-by-step explanation:
Given:
l = 5 ft
b = 5 ft
h = 6 ft
One cubic foot weighed = 0.1 tons
Find:
Total weight
Computation:
Volume = lbh
Volume = (5)(5)(6)
Volume = 150 ft³
Total weight = Volume / 0.1
Total weight = 150 / 0.1
Total weight = 1,500 tons
Tom has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. How many additional sticks of butter does Tom need in order to bake a total of 42 cakes?
Answer in the number of additional sticks of butter.
Answer:
since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes
Suzy's kitchen measures 21 feet by 3 feet. She would like to add a small tile border around the entire room. How much should she expect to pay if the tile strip costs $0.95 per foot.
Find the area of kitchen
21×3=63
if tile costs $0.95 per foot,
then 63÷0.95=66.36
thus the cost will be $66.36
Which method would you choose to solve the following system?
-5x + 2y = 15
y = - 3x - 20
Equal Values Method
O Substitution Method
O Graphing Method
Elimination Method
Answer: combining like terms
Step-by-step explanation:
please help its the last one i need ! Drag the tiles to the boxes to form correct pairs.
Match the pairs of equivalent expressions.
Answer:
See explanation
Step-by-step explanation:
The first option (4t - 8/5)... equals 16/3 t -23/5 (the fourth option in the first row)
The second option 7t - 22 (still in the first row) equals 3(3t-4)...(the third option in the second row)
The third option (still in the first row) 5(2t+1)... equals 3t + 33 (the final option in the second row)
The two options in the second row to the left equal each other
-11/4 t + 36 = (-9/2t + 3)+(7/4t + 33)
What is 54-36÷9+14=n what is the value in n?
Answer:
64
Step-by-step explanation:
1st step: 36/9 = 4
54 - 4 + 14 (since all operations are addition and subtraction, just work left to right)
50 + 14 = 64
WILL MARK BRAINLIEST IF CORRECT!
25% of 96 is what number round to the nearest tenth of necessary
Answer:
y = .25 x 96
y = 24
This is the answer.
Step-by-step explanation:
25% is the same as 0.25
25% = 25/100 = 0.25
Multiply 0.25 with 96
0.25 x 96 = 24
24 is your answer
hope this helps
if you were to make a restaurant, and need 29 items, how much of each would you have?
Answer:
3 beverages, 5 appetizers, 8 entrees, and 4 desserts.
Step-by-step explanation:
I think you meant 20 items, so let's do that. To find 15% of 20, we multiply 20 by .15. This gets us 3. We repeat this with all the other numbers, using different decimals, of course. We get 3 beverages, 5 appetizers, 8 entrees, and 4 desserts. 3 + 5 + 8 + 4 is 20, so everything checks out.
DWhich measurement is equal to 4 quarts?
D)12 pints
)8 cups
D16 pints
)16 cups
Done
Answer:
16 cups is equal to 4 quarts
Step-by-step explanation:
Multiply the volume by 4
The required 4 quarts are equal to 16 cups. This means that if you have 4 quarts of liquid, you can pour it into 16 cups and it will completely fill them. Option D is correct.
1 quart is equivalent to 4 cups. This is a standard conversion ratio between quarts and cups. It means that if you have 1 quart of liquid and you want to know how many cups it is, you can simply multiply the number of quarts by 4.
So, to find out how many cups are in 4 quarts, we perform the following calculation:
4 quarts * 4 cups/quart = 16 cups
Learn more about conversion ratios here:
https://brainly.com/question/28407415
#SPJ6