The value of x after solving the fraction [tex]-\frac{1}{3}\left(9x+42\right)-5x=-70[/tex] is 7.
Given fraction:
⇒ [tex]-\frac{1}{3}\left(9x+42\right)-5x=-70[/tex]
⇒ -9x/3 - 42/3 - 5x = -70
⇒ -3x - 14 - 5x = -70
⇒ -8x -14 = -70
⇒ -8x = -70 + 14
⇒ -8x = -56
⇒ 8x = 56
divide by 8 on both sides
8x/8 = 56/8
x = 56/8
x = 7.
Therefore The value of x after solving the fraction [tex]-\frac{1}{3}\left(9x+42\right)-5x=-70[/tex] is 7.
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I need some help with this problems please Number 10
Explanation:
We can see that this is an isosceles triangle, because there are two sides that are 4 units long and the third side is 3 units long.
For isosceles triangles we have the following congruences:
Therefore angle x is congruent to the one that's 66º.
Then we have that the measures of the interior angles of any triangle add up 180º:
[tex]\begin{gathered} yº+xº+66º=180º \\ y+66º+66º=180º \\ y+132º=180º \\ y=180º-132 \\ y=48º \end{gathered}[/tex]Answers:
• x = 66º
,• y = 48º
what is the population standard deviation for the numbers 75,83,96,100,121,125
Answer: 332.6667
Step-by-step explanation: trust
The cost of 8 meters of ribbon is $5.60.
A) What will be the cost of 5 meters of ribbon?
B) How many meters of ribbon can I buy with $16.80?
Answer:
Ok For A should be 3.50 For 5 Meters which in Centimeter is 500. For B you can get 24 meters of ribbon
Step-by-step explanation:
This is how you do it convert the meters to centimeter then see how much the ribbon cost per centimeter which is 0.007
8 meters to centimeters = 800
0.007 x 800 = 5.60
Then for B 24 Meters to Centimeters = 2,400
0.007 x 2,400 = 16.80
The product of eight and a number b
Write a variable expression for the word phrase
HELPPP PLEASEE!
Raul claims his graph shows a proportional relationship because the data forms a straight line. He also claims his graph shows he read 1.5 pages per minute. Are Raul’s claims correct? Justify your reasoning. Write an equation to represent the data in the graph.
the answer is below Learm!!!
Step-by-step explanation:
maybe if u learn in school u would get the answer bum
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Answer: Width = 4.7 meters, Length = 6.7 meters
Step-by-step explanation:
Let the width be [tex]w[/tex]. It follows that the length is [tex]w+2[/tex].
[tex]w(w+2)=32\\\\w^2+ 2w-32=0\\\\w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7 \text{ } (w > 0)\\\\\implies w+2 \approx 6.7[/tex]
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We are asked to determine the volume of the cylinder. To do that we will use the following formula:
[tex]V=\pi r^2h[/tex]Where "r" is the radius and "h" is the height. Replacing the values:
[tex]V=(3.14)(4cm)^2(10\operatorname{cm})[/tex]Solving the operations:
[tex]V=502.4cm^3[/tex]Therefore, the volume is 502.4 cubic centimeters.
Ms. Perea wants to cover the floor withrectangular tiles that measure 1.5 feet by0.8 feet. Which equation can be used tofind t, the number of tiles she will need tocover the kitchen floor?
We need to find the area of a rectangle. The area of a rectangle is given by:
[tex]\begin{gathered} A=w\cdot l \\ where\colon \\ w=width \\ l=length \\ \end{gathered}[/tex]The rectangular tiles that measure 1.5 feet by 0.8 feet. So the area of each tile is:
[tex]At=1.2ft^2[/tex]Therefore, the number of tiles will be the total area of the floor divided by the area of each tile:
[tex]\begin{gathered} t=\frac{A}{At} \\ t=\frac{A}{1.2} \\ t=(22.5\times12.5)\div(1.5\times0.8) \end{gathered}[/tex]A line passes through the point (1, -6) and has a slope of 9.Write an equation in point-slope form for this line.
EXPLANATION
Given the point (1,-6) and the slope 9 the equation in point-slope form is given by the following form:
[tex]y-y_1=m(x-x_1)[/tex]Where m is the slope and (x_1,y_1)=(1,-6)
Replacing terms:
[tex]y-(-6)=9(x-1)[/tex]Applying the subtraction property:
[tex]y+6=9(x-1)\longrightarrow\text{ point-slope form}[/tex]
a ferris wheel casts a 42 m shadow. a man two meters tall casts a 3 m shadow. how tall is the first wheel (in meters)?
The ferris wheel cast a shadow of 42 meters Tall.
A man of height 2 meters cast a shadow of 3 meters . The height of the ferris wheel can be computed below
[tex]\begin{gathered} 2\text{ meters = 3 meters} \\ x\text{ meters=42 meters} \\ \text{cross multiply} \\ 3x=84 \\ x=\frac{84}{3} \\ x=28\text{ meters} \end{gathered}[/tex]height of the ferris wheel = 28 meters
Jerome and Tara played in a golf
tournament with four rounds. Their
scores for the rounds are given below.
If their final score is the sum of their
four rounds, which statement is true?
Round 1 Round 2 Round 3 Round 4
-4
5
-6
-2
2
-5
-4
-1
Jerome
Tara
Answer:JEROME
Step-by-step explanation:
Games at the carnival costs $7 each. The prizes awarded to the winners costs the owner $177.35. How many games must be played for the owner to make at least $75.
Use g as your variable. Round your inital answer to the nearest hundredth.
At least 36.05 games should be played for the owner to make at least $75.
Let the number of games played = g
According to question,
Cost of each game = $7
Cost of g games = 7g
Prizes awarded to the winner costs the owner = $177.35
To make at least $75, the equation is
7g - 177.35 ≥ 75
7g ≥ 75 + 177.35
7g ≥ 252.35
g ≥ 252.35 / 7
g ≥ 36.05
Hence, at least 36.05 games should be played.
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Kaitlyn flew 630 miles in 60 minutes. How many miles per minute did she fly?
Answer:
10.5 miles per minute
Step-by-step explanation:
630/60=10.5
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The width of the rectangle is equal to 3.42 meters
Let the width of the rectangle be represented by the variable x
thus from the question we can say that the length of the rectangle is 3 + x
Given is the area of the rectangle
we know that the area of the rectangle is Length × Breadth
Given area of the rectangle = 22 square meters
thus Area = Length × Breadth
On substituting the value we get
22 = ( 3 + x ) ( x )
x² + 3x = 22
x² + 3x - 22 = 0
b² - 4ac = 9 + 88 = 97
thus - b ± [tex]\sqrt{b^{2} -4ac}[/tex] / 2a
= - 3 ± 9.84 / 2
Thus the two values of x we will get are :
x= -12.84 / 2 = -6.42 which is rejected because width cant be negative
thus the value of x = 6.84 / 2 =3.42 meters
Thus we get values of x as
x = 3.42 meters
Thus the required width of the rectangle = 3.42 meters
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How many 1/5s are in 9?
Answer:
About 90 1/5's are in 9.
HELPPPP IM FAILING
In ^CDE, DE= CD and m/D = 29°. Find m/C.
Answer:
<C=75.5⁰
Step-by-step explanation:
<C=<E
<C+<E+<D= 180⁰
<C+<E= 180⁰-29⁰
<C+<C= 151⁰
2<C= 151⁰
<C= 151⁰/2
<C= 75.5⁰
Question
A line goes through the point (–4, –2) and (–1, y) and has a negative slope. Select all of the values below that could represent y.
A.-5
B.-4
C.-3
D.-2
E.-1
F.0
The values that can represent 'y' when the slope is negative are:
A) -5(B) -4(C) -3What is a slope?A line's steepness can be determined by looking at its slope. The slope is calculated mathematically as "rise over run" (change in y divided by change in x). Slope usually referred to as rise over run, is the "steepness" of the line. By dividing the difference in y values between two points by the difference in x values, we may determine the slope.So, values that can represent y are:
Slope formula: m = y2-y1/x2-x1Substitute values as follows:
m = y2-y1/x2-x1m = y+2/-1+4m = y+2/3We know that the slope is negative.
So, the value of y needs to be greater than 2 and negative. Then,
(A) -5(B) -4(C) -3Therefore, values that can represent 'y' when the slope is negative are:
A) -5(B) -4(C) -3Know more about slope here:
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what is the answer to - 4a - 5b + 7a - 3b
Points A and C are two opposite
vertices of the ABCD square. Find the
area of this square.
A(3,2), C(7,2)
The area of the square is 8 square units.
According to the question,
We have the following information:
Points A and C are two opposite vertices of the ABCD square.
The coordinates of these points are A(3,2), C(7,2).
Now, we will use the distance formula to find AC:
d = [tex]\sqrt{(y2-y1)^{2}+ (x2-x1)^{2} }[/tex]
d = [tex]\sqrt{(2-2)^{2}+ (7-3)^{2} }[/tex]
d = [tex]\sqrt{4^{2} }[/tex]
d = 4 units
Now, when A and C are opposite vertices then AC is a diagonal.
Side of the square = diagonal/[tex]\sqrt{2}[/tex]
Side = 4/√2 units or 2√2 units
Formula to find the area of square:
Side*side
2√2*2√2
4*2
8 square units
Hence, the area of the square is 8 square units.
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Gary had a 40% discount for car speakers. The sale price of the speakers was $90.What was the original price of the speakers?
The original price of the speakers are found to be $150.
What is meant by the term discount?The discount is equal to the difference between both the purchase price and the par value. A discount is a reduction as well as deduction in a product's cost price. It is most commonly used in purchase and sale of products, where people are given discounts on a variety of products. The discount rate is expressed as a percentage.For the given question;
Gary had a 40% discount for car speakers.
The sales price of the speakers was $90.
Let the original price be 'x'.
Thus,
Sales price = original price - discount.
90 = x - 40% of x
90 = x - 40x/100
90 = 6x/10
x = 900/6
x = 150
Thus, the original price of the speakers are found to be $150.
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jamila has a weather station in her backyard. She uses a rain gauge to track the total rainfall during storms. Answer the following questions to compare the storms. 1. Jamila graphs the function describing Mondays rainfall. is the graph nonlinear or linear? how do you know? 2. What is the real-world meaning of the slope of this graph? 3. Next, Jamila graphs functions describing Thursdays rainfall. Is this graph linear or nonlinear? how do you know? 4. what does the y-intercept of the graph of Mondays storm mean? Does the y-intercept of the the graph of Thursday's storm have the same meaning?
2.
slope: rise(precipitation) / run (time)
In the real world, the slope means the relationship between time and precipitation.
3. AS the time increases, the precipitation increases. Is a linear function.
4. The y-intercept (0,y) means the amount of precipitation when no time passed since tracking.
Both y-intercepts have the same meaning.
In the model, two of the flagpoles are 4 inches apart. How far apart will they be when they are installed?
ANSWER
36 feet
EXPLANATION
We are given that the scale of the model is 1 inch to 9 feet.
The two flagpoles are 4 inches apart in the model.
To find the distance between them when they are installed, we have to use ratio/proportion.
Let the distance between them be x.
We have that from the scale:
1 inch = 9 feet
=> 4 inches = x feet
Now, we can cross-multiply:
[tex]\begin{gathered} 1\cdot x=4\cdot9 \\ \Rightarrow x=36\text{ feet} \end{gathered}[/tex]Therefore, the distance between them when they are installed is 36 feet.
PLEASE NEED THIS NOW PLEASE!!
Write and simplify an expression to represent the perimeter of the triangle shown. What is the perimeter of the triangle if y equals 3 feet?
(please show work)
The perimeter of the triangle if the value of y is 3 feet is 31 feet
Perimeter of the triangle:
Perimeter of the triangle is calculated as the total distance around the edges of a triangle.
The formula for the perimeter of the triangle is
P = a + b + c.
where
a, b and c refers the sides of the triangle.
Given,
Here we have the triangle with the side values are (y + 5)ft, (3y + 5)ft, and (4y - 3)ft.
Now we have to find the perimeter of the triangle when the value of y is 3 feet.
As per the formula of the perimeter of triangle, first we have to calculate the side values of it, by apply the value of y as 3,
Then we get the sides are,
y + 5 => 3 + 5 = 8 ft
3y + 5 => 3(3) + 5 = 14ft
4y - 3 => 4(3) - 3 = 9ft.
Therefore, the sides of the given triangle are 9ft, 14 ft and 9 ft.
Then the perimeter of the triangle is,
P = 8 + 14 + 9
P = 31
Therefore, the perimeter of the triangle is 31 feet.
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5 less than the square of a number
x^2 - 5 this will be the equation formed.
What is exponents?An exponent is the number of times a number is multiplied by itself. For example, 2 to the third (written as 23) means: 2 x 2 x 2 = 8. 23 is not the same as 2 x 3 = 6. Remember that a number raised to the power of one is itself.
Calculationlet the number be x
x^2 - 5 this will be the equation formed
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Can someone please help me
Answer:
m∠B < m∠C < m∠A
Step-by-step explanation:
We know that the opposite angle of the smallest arm is the smallest angle
Javier has a balance of $216 on his game store gift card. He spends $59 on each game he buys from the store.
slope =
y-intercept =
PLEASE J NEED HELP NOWW
Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].
What is the slope?
The slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here given that,
Javier has a balance of $[tex]216[/tex] on his game store gift card. He spends $[tex]59[/tex] on each game he buys from the store.
So, the equation is of the form
[tex]y=-59x+216[/tex]
But we know line of equation is
[tex]y=mx+c[/tex]
where [tex]m[/tex] is the slope and [tex]c[/tex] is the intercept.
i.e,
slope is [tex]-59[/tex]
[tex]y[/tex] int is [tex]216[/tex]
Hence, the slope is [tex]-59[/tex] and the y-intercept is [tex]216[/tex].
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A true-false test contains 13 questions. In how many different ways can this test be completed. (Assume we don't care about our scores.
Answer:
Explanation:
There are two possible answers for a tue-false test:
True and False
It is given
The Andrettis borrowed $25,000 to renovate their kitchen with a 4.5% annual simple interest rate. If they paid $11,250 in interest, how long did it take them to repay the loan?
They took 10 years to repay the loan.
Given, Andrettis borrowed $25,000 to renovate their kitchen with a 4.5% annual simple interest rate.
Interest he paid was, $11250
Now, we have to find the time period,
As, Simple Interest = (Principal×Rate×Time)/100
11250 = (25000×4.5×t)/100
11250 = 25×45×t
t = 10
Hence, they took 10 years to repay the loan.
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Answer: 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 5.3 \text{ } (t > 0)[/tex]
In the given figure, ABCD and BDCE are parallelograms with common base DC. If BC 1 BD, then find
The measure of the angle ∠BEC is 60°.
We are given two parallelograms: ABCD and BDCE. They have a common base CD. It is given that BC is perpendicular to BD. We need to find the measure of the angle ∠BEC.
In the parallelogram ABCD, ∠BCD is equal to ∠DAB because opposite angles in a parallelogram are equal to each other.
∠BCD = 30°
In the triangle BCD, we will use the angle sum property. The sum of all the angles in a triangle is 180°.
∠DBC + ∠BCD + ∠CDB = 180°
90° + 30° + ∠CDB = 180°
∠CDB = 180° - 120°
∠CDB = 60°
Now, in the parallelogram BDCE, ∠BEC is equal to ∠CDB because opposite angles in a parallelogram are equal to each other.
∠BEC = 60°
Hence, the measure of the angle ∠BEC is 60°.
The complete question is given below.
In the figure given below, ABCD and BDCE are parallelograms with common base DC . If BC ⊥ BD , then find ∠BEC.
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