Step-by-step explanation:
2x+26=2(5-3x)
2x+26=10-6x
combination of like terms
2x+6x=10-26
8x= -16
x= -16/8
x= -2
Jayden folded a 66cm strip of paper into 6 equal parts to model a honeycomb cell's. Each part was one side of the model. What is the length of one side of the model?
Answer:
11 cm
Step-by-step explanation:
The strip of paper is 66 cm and it is folded into 6 different parts. It is used to form a model of a honeycomb cell.
To find the length of one side of the model, all we have to do is divide 66 cm by 6. That is:
66 / 6 = 11 cm
The length of one side of the model is 11 cm.
Which number is a perfect square 249, 265, or 324?
Answer:
324
Step-by-step explanation:
A number is a perfect square when there are two factors that are identical to one another. 324 is a perfect square since its two identical factors are 18 and 18.
Answer:
324
Step-by-step explanation:
18*18. Hope that helped, vote, thanks, brainliest ;)
Have a great day!
Determine the scale factor from the point A(2, 6) of DEF to D’E’F’ where D(-8, 6), E(-8, 14), F(2, 3) (- 3, 6) and D’ (-3, 6) E’(-3, 10) and F’(2, 4.5) What is the scale factor?
Answer:
The scale factor to transform DEF to D'E'F' is 1/2
Step-by-step explanation:
DEF is
D(-8, 6), E(-8, 14), F(2, 3)
D'(-3, 6), E'(-3, 10), F'(2, 4.5)
Therefore;
DE = √((-8-(-8))²+(6-14)²) = 8
D'E' = √((-3 -(-3))² + (6 - 10)²) = 4
Similarly,
EF = √((-8 - 2)² + (14 - 3)²) = √(100 + 121) = √221
E'F' = √((-3 - 2)² + (10 - 4.5)²) = √(100/4 + 121/4) = (√221) × 1/2
Also
DF = √(-8 - 2)² + (6 - 3)² = √(100 + 9 =√109
D'F' = √(-3 - 2)² + (6 - 4.5)² = √(5² + 3²) = √((10/2)² + (3/2)²) = √(100/4 + 9/4) = (√109)×1/2
Therefore the ratio of DEF to D'E'F' = DE/D'F' = EF/E'F' = DF/D'F' = √221/(√221) × 1/2 = 2
That is the scale factor of DEF to D'E'F' = 1/2.
Kayla adds the same number to both the numerator and denominator of the fraction 1/10 her resulting fraction equals 2/3 what number did she add to both numerator and denominator of her original fraction
Answer:
17 is added to both numerator and denominator.
Step-by-step explanation:
Given:
Fraction = 1/10
New fraction = 2/3
Find:
Number added to both numerator and denominator.
Computation:
Assume,
a is added to both numerator and denominator.
[tex]\frac{1+a}{10+a}=\frac{2}{3}\\\\3 + 3a=20+2a\\\\3a-2a=20-3\\\\a=17[/tex]
Therefore, 17 is added to both numerator and denominator.
5.345345... can be expressed as (fraction form)
Answer:
5.(345)=1,780/333
Step-by-step explanation:
5.(345)=(5,345-5)/999=5,340/999=1,780/333
The fraction corresponds to given decimal is 1780/333.
What is fraction form?
A fraction is used to show how much of something is left over. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction.
What will be the fraction for the given decimal number?Let x=5.345
The repeating number is 345
Multiply both sides by 1000
1000x=5345.345
Subtract x=5.345 from the obtained equation,
999x=5340
Solve for x,
x=5340/999
x=1780/333
Therefore, the fraction corresponds to given decimal is 1780/333.
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Find parametric equations for the line through point P(-4,5,2) in the direction of the vector (-6,6,-5)
The vector v (-6, 6, -5) points in the direction of itself, so we start there.
We can capture all points on the line through the origin and the point (-6, 6, -5) by scaling v by an arbitrary real number t.
The line through point P and pointing in the same direction as v is parallel to the other line that passes through the origin. Then the line we want can be obtained by translating the line through the origin by a vector p that points to (-4, 5, 2), so the vector equation for this line is
r (t ) = p + t v
r (t ) = (-4, 5, 2) + t (-6, 6, -5)
r (t ) = (-4 - 6t, 5 + 6t, 2 - 5t )
To get the parametric equations, simply take out the components:
x (t ) = -4 - 6t
y (t ) = 5 + 6t
z (t ) = 2 - 5t
The binomial (x + 5) is a factor of x2 + 8x + 15. What is
the other factor?
2
+x
+x
(x + 3)
(x + 7)
(x + 12)
(x + 13)
+
Answer:x+3
Step-by-step explanation:
5×3=15
5+3=8x
Answer:
A
Step-by-step explanation:
A survey of all beings on the planet mimstoon found that 10 beings preferred lirt juice to all other juices If 25 beings are surveyed altogether what percent of them preferred Lirt juice
Answer:
The percentage of the surveyed that preferred Lirt juice is 40%
Step-by-step explanation:
In this question, we are asked to calculate the percentage of beings that preferred Lirt juice
Let’s look at the survey presented in the question. 10 beings preferred out of a total of 25
The percentage that preferred Lirt juice will thus be;
10/25 * 100%
= 10 * 4 = 40%
Quadratic equation. Find the value of m so that the roots of the equation (4 - m) x^2 + (2m + 4)x + (8m + 1) = 0 may be equal.
The quadratic has one root with multiplicity 2 if the discriminant is 0, which is
[tex](2m+4)^2-4(4-m)(8m+1)[/tex]
(That is, for a quadratic [tex]ax^2+bx+c[/tex], the discriminant is [tex]b^2-4ac[/tex].)
Set the discriminant equal to 0 and solve for [tex]m[/tex]:
[tex](2m+4)^2-4(4-m)(8m+1)=0[/tex]
[tex]4m^2+16m+16+32m^2-124m-16=0[/tex]
[tex]36m^2-108=0[/tex]
[tex]36m(m-3)=0[/tex]
[tex]\implies m=0\text{ or }m=3[/tex]
2$ is what percent of $10
Answer:
20 %
Step-by-step explanation:
$10/100% $2/?
10/ what to get 2 so you do 10/5=2 so 100/5= 20.
what is the answer to
0.75x-0.5=x+1.5
Answer:
The result for the equation is [tex]x = -8[/tex] .
Step-by-step explanation:
-Solve the equation:
[tex]0.75x -0.5 =x +1.5[/tex]
-Subtract [tex]x[/tex] from [tex]0.75x[/tex] :
[tex]0.75x -0.5-x =x -x+1.5[/tex]
[tex]-0.25x -0.5 = 1.5[/tex]
-Add both sides by 0.5 :
[tex]-0.25x -0.5 +0.5 =1.5 +0.5[/tex]
[tex]-0.25x = 2[/tex]
-Divide both sides by 0.25 :
[tex]\frac{-0.25x}{-0.25} =\frac{2}{-0.25}[/tex]
[tex]x = -8[/tex]
So, the answer for the equation is [tex]x = -8[/tex] .
If 2.6( d +1.4 )- 2.3d= 4,what is d?
Answer:
1.2 units
Step-by-step explanation:
2.6(d + 1.4) - 2.3d = 4
2.6d + 3.64 - 2.3d = 4
0.3d + 3.64 = 4
0.3d = 0.36
d = 1.2
The formula for area of a triangle is A = 0.5bh. The formula for the volume of a prism is V = Bh. What does the B in the right prism volume formula represent?
Answer:
B represents area of the right triangle
Step-by-step explanation:
Given;
Area of a triangle is A = 0.5bh
where;
b is the base of the triangle
h is the height of the triangle
Given, formula for the volume of a prism is V = Bh
For a right triangle prism, the formula for the volume is, V = Bh
Where;
B is the area of the right triangle
h is the height of the prism
Therefore, B represents area of the right triangle
Last week norachi ran 40 miles less than trevon. Norachi ran 9 miles. How many miles did trevon run?
Answer:
trevon ran 49 miles
Step-by-step explanation:
9+40=49
Answer:
49 miles
Step-by-step explanation:
Norachi ran 40 miles less than Trevon.
So, Trevon ran 40 miles more than Norachi
Distance covered by Trevon = 40 +9 = 49 miles
Tyra spent 4/5 of her money on gas for her car and 1/2 of the remainder on sandwiches. If she spent $9 on sandwiches, how much money did tyra have first
Answer:
The initial amount of money Tyra has is $90
Step-by-step explanation:
Let the initial money Tyra has be equal to y
She spent ⁴/₅ of her initial money on gas for her car = ⁴/₅ of y
She spent ¹/₂ of the remainder on sandwiches;
the remainder = 1 - ⁴/₅ = ¹/₅
¹/₂ of the remainder = ¹/₂ x ¹/₅ = ¹/₁₀
Thus, she spent ¹/₁₀ of her money on sandwiches = ¹/₁₀ of y
Amount she spent on sandwiches = $9 = ¹/₁₀ of y
[tex]\frac{y}{10} = \$ 9\\\\y = \$ 90[/tex]
Therefore, the initial amount of moneyTyra has is $90
Prodigy math again. Please help,. will give brainliest if right!
Answer:
1. 6 6/10
2. 7 6/10
Step-by-step explanation:
Answer:
1. 8 6/10
2. 9 6/10
Step-by-step explanation:
When multiplying two negative integers what is the sign of the product positive negative zeroor one PLEASE. ANSWER.
Multiplying a negative number by a negative number will give you a positive product.
When multiplying two negative integers, it comes out as positive.
For example, we are given the equation -4 * -4.
Using the rule [ -(-a) = a ], the answer for the equation is 16.
Best of Luck!
Four students were discussing how to find the unit rate for a proportional relationship.Which method is valid?
Answer:use a calculator
Step-by-step explanation:
The unit rate for a proportional relationship is y = 6x.
The proportional relationship, can be find by the formula,
y = kx.........................1
Where,
X- position at X- cordinate= 1
Y - position at Y- coordinate = 6
k - constant of proportionality
put the values in the equation,
6 = k1
k = 6
Put the value of k into equation 1,
y = 6x
Therefore, the unit rate for a proportional relationship is y = 6x.
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https://brainly.com/question/12917806
Solve for x
•26.45
•10.93
•14.26
•22.19
•20.26
Answer:
x = 26.45
Step-by-step explanation:
Cos theta = adjacent side / hypotenuse
cos 50 = 17 /x
Switch the x and the cos 50
x = 17 / cos 50
x =26.44730506
Rounding to 2 decimal places
x = 26.45
Mr.Cho made a two way table to describe members of his family.which could describe the row and column headings for Mr.Chos table
Answer:c
Step-by-step explanation:
Took test
how many times does 6 go into 29
Answer:
4 times
Step-by-step explanation:
Answer:
4.8333333 or 4 5/6 times
Step-by-step explanation:
29/6 = 4.83333333
Why would an engineer most likely use topography maps in his or her work?
to find an area used for camping
to define a political boundary line
to determine the best location for a new road
to find the ideal place to hike on a mountain
Answer: So, an Engineer will use a topography while working to locate the elevation for a given region. They provide the numerical value of an elevation. So from the list of options the closest to it is to determine the best location for a new road.
I hope this is helpful.
Answer:
B
Step-by-step explanation:
6.8x+9.3=-9.4+3.4(2-5x)
Answer:
x = -2.67
Step-by-step explanation:
6.8x + 9.3 = -9.4 + 3.4(-3x)
6.8x + 10.2x = -9.4 - 9.3
17x = -18.7
x = -2.67
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Hello!
Answer:[tex]\boxed{ \bf w~=~4}[/tex]
________________________________________________
Explanation:7(w + 9) = 91
First, we must multiply everything in the brackets by 7.
= 7(w) + 7(9) = 91
= 7w + 63 = 91
Now, we must solve for w. To do this, we will need to isolate it by perfoming the opposite operation on 63. Since it is +63, we'll need to subtract it from both sides of the equation.
= 7w + 63 = 91
- 63 - 63
7w = 28
Since w is being multiplied, we'll have to perform the opposite operation (which is division).
[tex]\frac{7w}{7} = \frac{28}{7}[/tex]
w = 4
The right answer is 4.
look at the attached picture
Hope it will be helpful to you..
Can someone give me three possible solutions?
Elaine and Sandy both like lemonade Elaine has a 16 tablesspoon box of lemonade Sandy has an 18 tablespoon box of lemonade mix he likes his lemoade stronger and uses 3 tablespoons of mix for each glass of lemonade who will run out of mix first Elaine or Sandy
Answer:
The answer is sandy
Step-by-step explanation:
18/3= 6 why? because each glass of lemonade he drink he puts 3 table spoons, and a table spoon is the big spoon
hope this helped <3
Two points are shown on the graph. What is the midpoint between these two points?
A) (1, 5)
B) (-1, 2)
C) (-2, 1)
D) (-5, -3)
Answer: C (-2,1)
Step-by-step explanation:
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
A
Step-by-step explanation:
The rule for negative exponents is:
[tex]a^{-n} = \frac{1}{a^n}[/tex]
We have:
[tex]5^{-2}[/tex]
So, we can create a fraction with 1 as the numerator, and our exponent raised to a positive number as the denominator, and rewrite it as:
[tex]\frac{1}{5^2}[/tex]
Evaluate the exponent in the denominator
[tex]\frac{1}{5*5}\\\frac{1}{25}[/tex]
Therefore, choice A, 1/25 is correct.
Please Help it urgent
Answer:
Angle BEA
Step-by-step explanation:
They share the same straight line and their degrees add to 180
Someone please help me.
Answer:
D
Step-by-step explanation:
-4 x 3/2 = -12/2; which equals -6
so -6x.
-4 x -1/2 = 4/2; which equals 2
This means that:
-6x + 2 = 15; so 'D' is the answer
Answer:
D
Step-by-step explanation:
The distributive property states that a(b+c)=ab+ac. In this problem -4 is a, 3/2x is b, and -1/2 is c. -4(3/2) is 6, and -4(-1/2) is 2. So we have -6x+2=-15.