Answer:
6
Step-by-step explanation:
The required value of x is 3 for the given trapezoid.
What is a trapezoid?A trapezoid is a quadrilateral having two parallel bases and one set of other sides called as legs.
Given that EF and HG are the bases and J and K are the midpoints of the legs, we can use the midsegment theorem which states that:
The segment connecting the midpoints of the legs of a trapezoid is parallel to the bases and is equal to half the length of the bases.
We can use this theorem to write the equation:
JK = (EF+HG)/2
Now we are given that:
EF=3x+2 , HG=7x−2 , and JK=15
So we can substitute these values in the equation:
15 = (3x+2+7x-2)/2
15 = (10x)/2
15 = 5x
x = 3
Thus, the required value of x is 3.
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7 Chris needs to cut a roll of twine into 16 equal lengths for a
project. If the roll of twine measures 900 inches, how long
will each length of twine measure?
Answer:
I am pretty sure it is 56 because all you have to do is dvided and it comes out to 56.25 but you cant have .25 because that is not an equal peice so yeah I think it is 56
Answer:56.25
Step-by-step explanation:I had same problem it was correct
easy questions pls help (question in picture)
Answer:
1. P= 80
60/.75=80
2. x= 5/3
-27/25x / -27/25= -9/5 / -27/25
-9/5 / -27/25 --- -9/5 x -25/27
3. -300
-2.7/-2.7 = 810/-2.7
4. 120
84x100/70
84/x = 70/100
1. p=80
=(60×4)÷3
=240÷3
=80
2.x=1.6667
={-9/5}×{-25/27}
=1.6667
3.t=-300
=(810÷-2.7)
=(810×10)÷(-2.7×10)
=(8100÷(-27)
=300
Pls someone help hurry
Answer:
First base goes with first height, second base with third height and third base with second height
Step-by-step explanation:
? what is the ans of the question
Answer:
a. 12x+22, b. x = 9
Step-by-step explanation:
a. The perimiter in terms of x is 2((4x+8)+(2x+3)) = 12x+22
b. 12x+22=136, 12x=108, x=9
a. 12x+22, b. x = 9
Step-by-step explanation:
a. The perimiter in terms of x is 2((4x+8)+(2x+3)) = 12x+22
b. 12x+22=136, 12x=108, x=9
2r – 1 ≥ ‐3(r + 7) Solve inequality and graph the solution.
Answer:
R ≥-4
Step-by-step explanation:
Substitute
2r-1>-3r-21
+3r
5r-1>-21
5r>-20
Divide 5
R>-4
Using the graph, determine the coordinate of the y-intercept of the parabola.
Answer:
(0,8)
Step-by-step explanation:
The parabola intercepts at 8 on the y axis, and since the interception has zero x value, x=0.
The graph the coordinate of the y-intercept of the parabola is (0, 8).
What is Intercept?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
When you know the slope of the line to be investigated and the given point is also the y intercept, you can utilise the slope intercept formula, y = mx + b. (0, b). The y value of the y intercept point is denoted by the symbol b in the formula.
Given:
From the parabolic graph we can see that the intersecting point (0, 8)
Now, the y- intercept is the point in the vertical axis.
As, from the graph the coordinate of the y-intercept of the parabola is (0, 8)
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Solve the equation, justify
each step with an algebraic
property.
7 = 16 + 3x
Determine whether each expression is a polynomial. If so, identify the polynomial
as a monomial, binomial, or trinomial.
Answer:
1. is monomial
2. is binomial
3. is binomial
4. is trinomial
5. is trinomial
6. is binomial
Step-by-step explanation:
See...you need to know that the polynomial is determined by the number of unlilke terms in the expresion. i.e number of terms left that cant ne add subtracted or simplified anymore.
if its helpful send more quest om this...and domt forget brainliest
The expression shown are 1. Monomial 2. Not a polynomial 3. Binomial 4. Trinomial 5. Not a polynomial 6. Binomial
What is Polynomial?Polynomials are expressions of the form,
a₀ + a₁ x + a₂ x² + ................. + aₙ₋₁ xⁿ⁻1 + aₙ xⁿ
where a's are the coefficients, x is the variable and n is the number of terms.
1. 36
36 can be written as 36 x⁰.
This is a constant polynomial.
Since there is only one term, it is monomial.
2. [tex]\frac{3}{q^{2} }[/tex] + 5
This can be written as 3 q⁻² + 5.
The exponent of the variable is not a whole number, so is not a polynomial.
3. 7x - x + 5
This can be written as 6x + 5.
This is a polynomial and is binomial since there are two terms.
4. 8g²h - 7gh + 2
This is a polynomial in two variables.
This is a trinomial, as there are three terms.
5. [tex]\frac{1}{4y^{2} }[/tex] + 5y - 8
This can be written as 1/4 y⁻² + 5y - 8
This is not a polynomial as the exponent is not a whole number.
6. 6x + x²
This is a polynomial.
It is a binomial.
Hence four of the expressions shown are polynomials.
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Jack plans to buy 2.25 lb of coleslaw at $2.80 per pound. He also wants 2lb of macaroni salad that sells for $3.15 per pound. Jack has a $10 bill in his wallet. Is this enough for the coleslaw and the macaroni? Explain.
Each month, your phone company charges you a fee of 15 cents per minute as well as a service fee of $6.95 . Write a linear function rule that models the number of dollars y you pay each month for any number of minutes x.
Answer:
y=$9x+$6.95
Step-by-step explanation:
Answer:
$7.10
Step-by-step explanation:
6.95+.15=7.10
explain how to solve it?
6 = 3 x - 9
Answer:
5
Step-by-step explanation:
Step 1:
6 = 3x - 9 Equation
Step 2:
15 = 3x Add 9 on both sides
Step 3:
x = 15 ÷ 3 Divide
Answer:
x = 5
Hope This Helps :)
Answer: 5
Step-by-step explanation:
6 = 3x - 9
+9 + 9
15 = 3x
/3 /3
5 = x
10 times the sum of half a number x and 4 is 6
Answer:
-10.4
Step-by-step explanation:
Assume that the number we are looking for is x.
Now, we want to get 10 times the sum of half the number and 6 and equate this expression to 8. Then we can solve for x
step by step
half the number is 0.5x
the sum of half the number and 6 is 0.5x + 6
10 times the sum of half the number and 6 is 10(0.5x +6)
10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8
Now solve for x
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4
Solve: (step by step please)
x^2+9x+9=0
Answer:
[tex]x=\frac{-9\pm3\sqrt{5} }{2}[/tex]
Step-by-step explanation:
Standard Form: ax² + bx + c = 0
Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Step 1: Write equation
x² + 9x + 9 = 0
Since we cannot factor the expression, we will have to use the quadratic formula.
Step 2: Define
a = 1
b = 9
c = 9
Step 3: Solve for x
Substitute: [tex]x=\frac{-9\pm\sqrt{9^2-4(1)(9)} }{2(1)}[/tex]Evaluate: [tex]x=\frac{-9\pm\sqrt{81-36} }{2}[/tex]Evaluate: [tex]x=\frac{-9\pm\sqrt{45} }{2}[/tex]Simplify: [tex]x=\frac{-9\pm3\sqrt{5} }{2}[/tex]Answer:
X1= -9-3[tex]\sqrt5[/tex] over 2 X2= -9+3[tex]\sqrt5[/tex] over 2 (draw a line under the -9 to the 5
and put a 2 under like a fraction
i cant get the line all the way
across on here sorry
Step by step explanation:
x= -9 [tex]\sqrt9^2 -4x1x9[/tex] Over (draw a line under that) Put all that under sq root
2 x 1 also
x= -9+ [tex]\sqrt81-36[/tex] Over 2
2
x= -9 + [tex]\sqrt45[/tex] Over 2
2
x=-9 +3[tex]\sqrt5[/tex] Over 2
2
separate solutions gives your answer above
Also ......note ..... put a line under each + sign ok I worked hard getting this all down best i can
Quadrilateral WXYZ is a square. If WT=6, find each measure?
We know that the diagonals of a square bisect each other which results in the formation of 4 - 90° angles . Which means ZX = 2 × WT . Then ,
= ZX = 2 × 6
= ZX = 12 ( ZX is a diagonal )
Side XY =
XY = √2 d/2
XY = √2 . 12/2
XY = 8.48528
m∠WTZ = 90° ( as the diagonals of a square intersect to form a complete angle ( 360° ) which is divided into four equal parts , each part being 90° )
m∠WTZ = 90°
m∠WYX = 45° ( WYX is half of one of the interior angles in this square which will mean it will be equal to 45° )
Therefore , m∠WYX = 45°
In short :ZX = 12
XY = 8.48528
m∠WTZ = 90°
m∠WYX = 45°
You just bought a car and need to expand your driveway by pouring more concrete. If the dimensions of the addition are 11ft by 6.5ft how many square feet of concrete do you need to pour?
help Anita is making headbands for her softball team. She needs a total of 34 yard of fabric. Which types of fabric cost less than $8 per yard? Write yes or no in each blank.
cotton 5.54
flannel 2.62
fleece 4.27
terry cloth 6.52
cost less than $8 per yard cotton, flannel and fleece.
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
Given:
For cotton:
5.54 ÷ 3/4
=7.39<8
For flannel:
2.62 ÷ 3/4
=3.49<8
For fleece:
4.27 ÷ 3/4
=5.69 < 8
For terry cloth:
=6.52 ÷ 3/4
= 8.69>8
So, cost less than $8 per yard cotton, flannel and fleece.
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Kayla paid $27.50 for a pair of gloves. The cost of the gloves is $8.75 more than the cost of a scarf. Which equation can be used to find the cost of the scarf?
Answer:
You can use subtraction
Step-by-step explanation:
$27.50 - $8.75 = $18.75 (cost of scarf)
-----------------------------------------------------------------------
the gloves cost 27.50 dollars and if the scarf cost 8.75 dollrs more then that means that if we subtract that extra mount we should get the price of the scarf
if $18.75 is the cost of scarf and if gloves are $8.75 more then...
$18.75 (scarf) + $8.75 (extra $) = $27.50 (gloves)
48/1000 decimal form
Answer:
0.048
Step-by-step explanation:
I've used a calculator, then rounded it for you.
Let me know if you need any more help. :)
There are 19.3 cups of flour in a bag. The chef uses 2.9 cups for making cookies. Then, he uses 1.2 cups of sugar and 5.1 cups of flour for making banana bread. How many cups of flour are left?
Answer:
10.1
Step-by-step explanation:
19.3-2.9=16.4
16.4-1.2=15.2
15.2-5.1=10.1
so there are 10.1 cups of flower left
Answer:11.3
Step-by-step explanation:
19.3 - 2.9 -5.1= 11.3
You don't subtract the 1.2 cups of sugar because it's only asking about the flour.
Robbie needs to figure out how much money he is going to spend on burgers. He needs 22 in total and it costs $3.99 for 4.
Answer:21.94
Step-by-step explanation:22 divided by 4 = 5.5 5.5 times 3.99$ equals 21.94
. You want to buy some underwear. A
package of 8 costs $3.12. A package of 15
costs $6.15. A package of 20 costs $7.60.
Which package is the best buy?
Answer:
the second
Step-by-step explanation:
A surveyor is surveying a street. The surveyor is standing at point B looking down the street at a No Parking sign at point C and a Stop sign at point A. Given BC = 4x-5 meters, BA = 20 meters, CA = 6 meters, and point C is between B and A, what is x in meters?
Answer:
i think x is bc=4x-5 meters
Step-by-step explanation:
Why is the answer 3? Please explain.
Answer:
c
Step-by-step explanation:
you have to plug it in and trying slove for f(x) and basically it is straight forward.
Find the value of x in the triangle below. x =
Y
29x + 3
D
c
11x-2
950
if it is x=y,29x+3=11x-2 then
29x-11x=-2-3,
18x=-5
,x=-5/18
4/5 x 2/7 because my teacher is saying its not this sooooo
Answer:
8/35
Step-by-step explanation:
4/5x2/7
4x2=8
5x7=35
Hope this helps. Plz give brainliest.
Answer:
8/35 Good luck sis ;)
Step-by-step explanation:
Find the value of x in the triangle shown below.
Answer:
55
Step-by-step explanation:
I believe it's 55 because the triangle has to equal 180
so I subtracted 70 from 180 and x can't be 70 because they don't have the same lengths
subtracting 70 from 180 gave me 110 then I divided by 2 since both the top angle and x would have the same angle in degrees xD
Caffenine takes a certain amount of time to leave your system if you drink 3 cups of coffe in the morning the function that represents the amount of caffeine remaining in your body after drinking the coffe is given by g(t)=130(.8346)^t where t is the timein hours. how much caffeine remains in your body after 1 day. how much caffeine remains in your body after 2 days
Answer:
In 1 day, 1.70
In two days 0.022
Note; Unit was not given in the question, I would have included it
Step-by-step explanation:
Here, we are to calculate the amount of caffeine remaining in the body.
To calculate this, we simply substitute for the number of hours t in the equation.
In one day , we have 24 hours
So our substitution will be t = 24
Hence; for a day;
g(24) = 130(0.8346)^24 = 1.70
For two days, we have t = 48 hours
Thus; g(48) = 130(0.8346)^48 = 0.022
Mutiplylng an even number of negative numbers glves an answer that Is?
Answer:
A positive number is obtained
Step-by-step explanation:
Answer:
You would get a positave number
Step-by-step explanation:
3x2 + x + 3 = 0
Solutions
52$ tie; 50% discount
Answer:
$26
Step-by-step explanation:
its 50% , just divide by 2
Answer:
52/2 = $26
Step-by-step explanation:
50% is half, so simply divide it by 2