A) 5x + 4y = 120
3x + 5y = 98
B) To solve this, we must solve the equation.
5x + 4y = 120
3x + 5y = 98
STEP ONE:
Divide
x + 4/5y = 24
STEP TWO:
Substitute the variable
x = 24 - 4/5y
STEP THREE:
Substitute the value of the variable
3(24 - 4/5y) + 5y = 98
STEP FOUR:
Multiply
72 - 12/5y + 5y = 98
STEP FIVE:
Subtract 72 from both sides
-12/5y + 5y = 26
STEP SIX:
Add
Turn 5y into 25/5y
-12/5y + 25/5y = 26
13/5y = 26
2.6y = 26
STEP SIX:
Divide 2.6 from both sides
26/2.6 = 10
y = 10
Each Hip-Hop CD Costs $10
(We will save this for later, because the question asked about rock CDs.)
STEP SEVEN:
Find x
x = 24 - 4/5(10)
4/5 = 0.8
0.8(10) = 8
x = 24 - 8
x = 16
Therefore, each Rock CD costed $16.
C) We found this earlier, each Hip-Hop CD costs $10.
Sorry this was a little lengthy, but I hope this helped!
Factor: r^2 + 3r + 2
Answer:
(r+1)(r+2)
Step-by-step explanation:
cqn you answer this one ps
Answer:
i think its a but im not sure and i dont know how to explain it
what is 150 % of 32 ?
i already know that it’s 48, i just really need to know how “i” got it.
Answer: 48
=================================================
Explanation:
The keyword "of" means multiply
150% converts to the decimal form 1.5; you move the decimal point two spots to the left to go from percent form to decimal form
Putting those two facts together lead to...
150% of 32 = 1.5*32 = 48
----------------
Another approach:
x% = x/100
150% = 150/100 = 1.5
150% of 32 = 1.5*32 = 48
The last step is identical as before, but the conversion of 150% is slightly different this time.
------------------
Yet another approach:
100% of anything is itself
So 100% of 32 is 32
The extra 50% means we take half of 32 to get 16. Then we add that onto the 32 to get 16+32 = 48
Answer please: Hector bought 45 tiles to make a patio. How many different ways can he arrange the tiles to make the patio?
Answer:
i belive it is 19
Step-by-step explanation:
i hope this helps
if y varies directly with x and y doubles then x?
Answer:
Also doubles
Step-by-step explanation:
Hope this helps. Have a nice day you amazing bean child.
The constant of proportionality is 2.
What is the general equation of a Straight line?The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
We have [y] varies directly with [x] and y doubles then x.
The general equation of a straight line can also be used to represent proportional relationship when [c] = 0.
y = mx + c
y = mx + 0
y = mx
m = y/x
where [m] is constant of proportionality.
A/C to question -
y = 2x
Here, the constant of proportionality is 2.
Therefore, the constant of proportionality is 2.
To solve more questions on straight lines, visit the link below-
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Tony is building a dog house, and the front view of the roof is shown below. What is the height of the roof? *
21 inches
27.5 inches
9 inches
19.8 inches
A photograph measuring 4 inches wide and 5 inches long is enlarged to make a wall mural. If the mural is 82 inches wide, how long is the mural?
help i will give points
2 Sam is a manager in an office.
She wants to buy 14 new chairs.
Each chair costs £73
Sam will also be charged 20% VAT on the cost of the chairs.
Sam has £1200 to buy the chairs.
Is £1200 enough to buy the 14 chairs?
Answer:
14 X 73 = 1022
1022/100 X 120 = 1226.4
1226.40 - 1200 = 26.40
No Sam does not have enough she is 26.40 short.
I need the answer and how to solve this
Answer:
50
Step-by-step explanation:
Since 140° is on the outside, the angle next to it would be 40°.
Also a triangle = 180°
40° + 90° = 130°
180° - 130° = 50°
Thus meaning x = 50°
Answer:
x = 50°
Step-by-step explanation:
- the angle at the top is shown as a right angle so it is 90°
-the 140° angle and the angle next to it are 180° together so let's name the other angle z
z+140=180
z=180-140=40°
- a triangle's angles in total have 180°
x+y+z= 180°
x+90°+40°=180°
x+130 =180
x= 180-130 = 50°
Can a right triangle be formed using these squares?
25, 144, 169
Answer:
Yes
Step-by-step explanation:
The two smaller squares have a sum of 169 which is the value of the larger square.
a^2 + b^2 = c^2
25 + 144 = 169
It can be done. Notice the figure below shows you how to arrange the squares to give the answer of a^2 + b^2 = c^2
Answer:
Yes, if we take the square roots of 25, 144 and 169 (5, 12, 13)
Not by using those measures as is (sides of a triangle with 25, 144 and 169).
Explanation:
A right triangle is a triangle with an angle of 90 degrees, and the side facing that angle of 90 degrees is called an hypotenuse.
The hypotenuse measurement squared is equal to the squared measurements of the other two sides:
c² = a² + b²
And those squares do verify the equation:
169 = 144 + 25
So, that's a rectangle (right) triangle, with sides measuring 5, 12 and 13.
Hope this helps :)
What is the coefficient of the variable in the expression 6 - 4x - 8 +2
A. 6
B. 2
C. -4
D. -8
Answer:
d
Step-by-step explanation:
Do the ratios 3:7, and 12:21 form a proportion?
yes
no
Answer:
no
Step-by-step explanation:
3:7 *4=12:28
3:7*3=9:21
They both can not equal 12:21
Yes, the given ratios 3:7 and 12:21 are in proportion.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
The given ratios are 3:7 and 12:21.
Here, the proportion is 3:7::12:21
The ratios to in proportions, product of means must be equal to product of extremes.
3×21=7×12
3×7=7×3
21=21
Yes, the given ratios are in proportion.
To learn more about the proportions visit:
https://brainly.com/question/7096655.
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What is the LCD of 2
−1
and 3
+1
?
Answer:
Step-by-step explanation:
What is the least common denominator of 1/3 and 1 2?
The denominator of the largest piece that covers both fractions is the least common denominator (LCD) of the two fractions. So, the least common denominator of 12 and 13 is 6 .
The number 3.07 × 10 -4 written in standard form is _____.
300,700
0.00307
30,700
0.000307
Answer:
0.000307
Step-by-step explanation:there will be no explaintion but it should be correct
Answer:
it should be 0.000307
Step-by-step explanation:
Item 1
Write the word sentence as an inequality. Then solve the inequality.
The product of −2 and a number x is greater than 30.
An inequality is
.
The solution of this inequality is
.
Answer:
-2(x)>30
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
x<-15
Step-by-step explanation:
-2(x)>30 means to divide -2 on both sides which is -15.
x>-15
Next you switch the inequality because you multiplied by a negative:
x<-15
1. The value of 20 x 5º =............
2. If a =3 and b=2 then the value of (a + b ) is
3. Angles in a semicircle is
OR
The sum of either pair of opposite angles of a cyclic quadrilateral is
4. Write the degree of the polynomial v2r? +r".
5. The volume of a sphere of radius 3cm is
6. The perimeter of an equilateral triangle is 8 m , what is its area ?
7. In the given figure , AD is the median , then find < BCA
35°
B В
с
D
OBOR
8. A linear equation in two variables has ............ solutions
9. A circle divides the plane on which it lies in
parts.
10. The sum of either pair of opposite angles of a cyclic quadrilateral is.....
11. The formula for finding TSA of a cuboid is
OR
The formula for finding Volume of a cone is
12. In the given figure, find the value of x.
Answer: salt
Step-by-step explanation:
Help pls this assignment has to be turned in by today
Answer:
v = 21
Step-by-step explanation:
the sum of the interior angles of a triangle is 180 degrees
add all 3 angle measures and set equal to 180:
4v + 2v + 54 = 180
6v = 126
v = 21
7. What number multiplied by 2/3 has a product
of 1? (Example 2)
Answer:
4/6 is the answer due to the way it is set up within the fraction
For what values of r will the area of
the shaded region be greater than or equal to
12 square units?
What percentage would the wand need to have exactly a 50% chance of winning
the wizard standoff?
Answer:
What percentage would the wand need to have exactly a 50% chance of winning the wizard standoff?
a;50
Represent each sum as a single rational number.
Answer:
-14+(-8/9)= -14.8
Simplify an expression for the perimater of the equilateral triangle shown blown
Answer:
5.25x-6
Step-by-step explanation:
PLEASE SHOW FULL SOLUTIONS!!! WILL MARK BRAINLIEST!!! SHOW ALL STEPS!!! THANK YOU!!!
9514 1404 393
Answer:
a) BE = 5; DE = 6; EF = 4
b) ∠EFC ≅ ∠DA.F ≅ ∠BDE or b = e = f = i
Step-by-step explanation:
Each short segment is the same length as the marked one it is parallel to.
E is the midpoint of BC, so BE = EC = 5.
ADEF is a parallelogram, so DE = A.F = 6.
D is the midpoint of AB, so AD = DB = 4. ADEF is a parallelogram, so ...
EF = AD = 4
__
As we have noted, AB║EF and DE║A.F, so corresponding angles and alternate interior angles are congruent. b = e = f = i
What value is equivalent to
Answer:
-3
Step-by-step explanation:
dont know its right id(kkkkkkkkkkkkkkkkkkkkkkk
Use the Distributive Property to write an equivalent expression for 5(4+7x).
Answer: 5(4+7x) = 20 + 28x
Step-by-step explanation: Multiply each of the terms in the parentheses by 5.
What is the best estimate for the value of 29?
O A. 2.9
B. 5.4
O c. 7.3
D. 9.7
O E. 14.5
Answer:
D.
Step-by-step explanation:
Write down the value of the 3 in 3807 in figures
Answer:
3000
Step-by-step explanation:
3 thousands(•‿•)◉‿◉
2 x 3x=
2x2=
__+___=
Answer:
1)6x
2)4
3)6x+4=2(3x+2)
Step-by-step explanation:
Please help ASAP!!!!
3х – 6 = 4 (2 - 3х) — 8x
what is x?
Answer:
x = 2/5 or 0.4
Step-by-step explanation:
3x - 6 = 4(2 - 3x) - 8x
distribute
3x - 6 = 4*2 - 4*3x - 8
3x - 6 = 8 - 12x - 8
combine like terms
3x - 6 = -12x
add 12x to both sides of the equation
3x - 6 + 12x = -12x + 12x
3x - 6 + 12x = 0
15x - 6 = 0
add 6 to both sides of the equation
15x - 6 + 6 = 0 + 6
15x = 6
divide both sides of the equation by 15
15x/15 = 6/15
x = 6/15
x = 2/5
x = 0.4