Answer:
x=17, y=9
Step-by-step explanation:
(5x - 38)° = (3x - 4)°
2x = 34
x=17
(5(17)-38))=47
90°+47°+(7y-20)=180°
7y-20=43°
y=9
The value of x is 17 and y is 9.
What are the properties of parallel lines?Following are the properties of parallel lines,
The pairs of vertically opposite angles are equal.The pairs of corresponding angles are equal.The pairs of alternate exterior angles are equal.The pairs of alternate interior angles are equal.Given:
<1 = 7y -20
<2 = 5x - 38
<3 = 90
exterior angle = 3x -4
Using alternate interior angle
5x - 38 = 3x-4
2x = 34
x=17
So, <2 = (5(17)-38))
<2 =47
Using angle sum property
90°+47°+(7y-20)=180°
7y-20=43°
y=9
Hence, the value of x is 17 and y is 9.
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Evaluate the expression
2 − 52 ÷ 5 + 8
Answer:
32
Step-by-step explanation:
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Answer:
decimal= -0.4
exact form=-2/5
Step-by-step explanation:
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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]
[tex]13x - 37 = 4x + 26[/tex]
Subtract sides 4x
[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]
[tex]9x - 37 = 26[/tex]
Add sides 37
[tex]9x - 37 + 37 = 26 + 37[/tex]
[tex]9x = 63[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]
[tex]x = 7[/tex]
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[tex]DE = 2x + 13[/tex]
[tex]DE = 2(7) + 13[/tex]
[tex]DE = 14 + 13[/tex]
[tex]DE = 27[/tex]
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The correct answer is Option four .
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Blaine bought a bag of 20 apples. When she got home, she found that 20%
of the apples were bad. How many bad apples were in the bag?
Answer:
4
Step-by-step explanation:
20 percent * 20 =
(20:100)* 20 =
(20* 20):100 =
400:100 = 4
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Bob is hiking down a 15-mile country trail. He could hike at 5 mph for the first 2 hours and then go the rest of the way at 3 mph or he could just go the whole way at 4 mph. How long would each of these options take?
Answer:
1) 11/3 hours or about 3.67 hours.
2) 3.75 hours.
Step-by-step explanation:
Let’s determine the time it will take for Bob to hike for each of the options.
Option 1) Hiking 5mph for 2 hours, then 3mph.
The total distance is 15 miles.
If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.
Therefore, 15-10 or 5 miles still needs to be covered.
To find how long that will take, we can simply divide the distance by the rate.
We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.
So, it will take another 1.67 hours to complete the hike.
So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.
Option 2) Hiking 4mph the entire way.
The total distance is 15 miles.
If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.
So: 15/4=3.75.
Therefore, it will take 3.75 hours to hike the entire distance going 4mph.
Answer:
1) 11/3 hours or about 3.67 hours.
2) 3.75 hours.
Step-by-step explanation:
Let’s determine the time it will take for Bob to hike for each of the options.
Option 1) Hiking 5mph for 2 hours, then 3mph.
The total distance is 15 miles.
If Bob hiked 5mph for 2 hours, then after two hours, Bob would’ve covered 5(2)=10 miles out of 15.
Therefore, 15-10 or 5 miles still needs to be covered.
To find how long that will take, we can simply divide the distance by the rate.
We are now going at a rate of 3mph. So, 5/3 is about 1.67 hours.
So, it will take another 1.67 hours to complete the hike.
So, the total time it will take is 2+1.67 or abou 3.67 hours. More specifically, it will be 2+5/3 or 11/3 hours.
Option 2) Hiking 4mph the entire way.
The total distance is 15 miles.
If Bob hiked 4mph the entire way, to find how long it will take, we can simply divide the total distance by the rate.
So: 15/4=3.75.
Therefore, it will take 3.75 hours to hike the entire distance going 4mph.
Step-by-step explanation:
Mila reads at a rate of 3 paragraphs per minute.
After reading for 4 minutes, she had read a total of 12 paragraphs.
This situation can be represented with a linear equation written in point-slope form, where x represents the number of minutes and y represents the number of paragraphs.
Use this information to complete each statement about the linear equation.
Answer:
y= 3x
Step-by-step explanation:
This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.
Answer:
slope of the linear equation is 3
a point on the graph of a linear equation is (4,12)
linear equation can be written as y-12 = 3 (x-4)
Step-by-step explanation:
Cuz it is
The perimeter of a rectangle is equal to 163 yard. The width is 8 more than twice the length. Find the length and width.
Answer:
l = 29.4 yards
w = 66.8 yards
General Formulas and Concepts:
Order of Operations: BPEMDASPerimeter of a Rectangle: P = 2w + 2lStep-by-step explanation:
Step 1: Define
P = 163 yards
w = 2l + 8
l = l
Step 2: Set up equation
P = 2w + 2l
163 = 2(2l + 8) + l
Step 3: Solve for l
Distribute 2: 163 = 4l + 16 + lCombine like terms: 163 = 5l + 16Subtract 16 on both sides: 147 = 5lDivide both sides by 5: 147/5 = lRewrite: l = 147/5Evaluate: l = 29.4 yardsStep 4: Find w
Define: w = 2l + 8Substitute: w = 2(29.4) + 8Multiply: w = 58.8 + 8Add: w = 66.8 yardsPenny compared the price of gumdrops at two stores. At Save-More Market, gumdrops are $3.95 per pound. At the Buy-Here Warehouse, the price is two pounds for $6.50. Which store has the better buy? Explain your answer.
Answer:
Buy-Here Warehouse has the better deal.
Step-by-step explanation:
divide
$6.50 divided by 2 = $3.25
$3.25 costs less than $3.95 for a pound
Which answer choice shows 34.698 rounded to the nearest half?
A. 34
B. 34.5
C. 35
D. 35.5
Answer:
C. 35
Step-by-step explanation:
Since 34.698 is higher than 5 in it's tenths place, we give it a shove.
We then get 35 after we shove the 6.
Saul and Raul had a bag of marbles. Raul selected 7 / 12 of the
marbles. Saul selected 3/12 of the marbles. What fraction of the marbles
did the boys select?
Answer:
The answer is 5/6
Step-by-step explanation:
7/12 + 3/12 = 10/12
10/12 = 5/6 ( divide the numerator and denominator by 2)
n - 10=-6.
2
Pls help !!!!!!!!
Answer:
n = 8
Step-by-step explanation:
(n/2) - 10 = -6
+ 10 +10
[tex]\frac{n}{2}[/tex] = 4
[tex]2*\frac{n}{2} = 4*2[/tex]
n = 8
write the equation for the graph. make sure to include + or - signs to indicate if your number is positive or negative
Answer:
- 3 and - 2
Step-by-step explanation:
y = | x - 3 | - 2
The tape diagram models the lengths of two snowboarding trails. The expert trail is 750 meters longer than the beginner trail. How long is each trail? ( Beginner trail: 1 length. Expert trail: 4 lengths)
Answer:
In a tape diagram, each of the lengths represents a fixed quantity of something.
Let's suppose that each one of these lengths represents a distance d.
We also know that the expert trail is 750 meters longer than the beginner one.
And in the tape diagram, the expert trail has 3 more lengths than the beginner trail, then we must have that the difference in distance must be equivalent with the difference in lengths.
750m = 3*d
d = 750m/3 = 250m
Then each length in the tape diagram represents 250m
With this we can find the length of each trail.
The beginner trail has 1 length, then it is 1*250m = 250 meters long.
The expert trail has 4 lengths, then it is 4*250m = 1000 meters long.
Scientific notation The table shows the amount of money raised by each region the four regions used a total of $ (5.38×10^4) How much money did the West Raise?
9514 1404 393
Answer:
$8.65×10^3
Step-by-step explanation:
The amount the West raised is the difference between the total and the sum of the other amounts raised. It is convenient to use a multiplier of 10^4 for each of the numbers, so the number for South can be rewritten as 0.675×10^4.
West = 5.38×10^4 -1.46×10^4 -2.38×10^4 -0.675×10^4
= (5.38 -1.46 -2.38 -0.675)×10^4
= 0.865×10^4 = 8.65×10^3
West raised $8.65×10^3.
_____
Your calculator can figure this for you. You can set the final display to scientific notation format, if you need to.
Eloise is baking cupcakes and cookies for a birthday party. He baked 2.5 times as many cookies as cupcakes for a total of 56 items. How many of each item did she bake?
A. 16 cookies and 40 cupcakes
B. 35 cookies and 21 cupcakes
C. 35 cupcakes and 21 cookies
D. 16 cupcakes and 40 cookies
Answer:
D 16 cupcakes and 40 cookies
Step-by-step explanation:
I wrote an equation to solve for this
2.5x + x = 56
x represents cupcakes
3.5x = 56
x = 16
16 represents cupcakes.
16*2.5 = 40 (cookies)
The plans for a new street show lamp post that are 2.5 inches apart. If the plans use a scale of 0.5 inch = 9 yards, find the actual distance between the lamp posts.
Answer: 45 yards
Step-by-step explanation:
From the question, we are given the information that the plans for a new street show lamp post that are 2.5 inches apart and that the plans use a scale of 0.5 inch = 9 yards,
Since a scale of 0.5 inch = 9 yards is used, the actual distance between the lamp posts will be:
= (2.5inches / 0.5 inches) × 9 yards
= 5 × 9 yards
= 45 yards
Solve by elimination
-2x + 6y = 16
- 4x - 3y = 2
please help
Answer:
(−2,2)
Hope it helps!
A line with a slope of 3 passes through (2,5). Which choice is an equation of this line?
Answer:
y=3x-4
Step-by-step explanation:
a slope of 3 means that the equation will definitely start like this
y=3x +/- b
to find b, substitute the coordinates given, so
5=3 x 3 +/- b
5=9 +/- b
5-9=b
-4=b
so the equation would be
y=3x-4
What are the excluded values of x for
Answer:
x = - 2, x = 9
Step-by-step explanation:
Given
f(x) = [tex]\frac{x^2-9x}{x^2-7x-18}[/tex]
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the values that x cannot be.
x² - 7x - 18 = 0
(x - 9)(x + 2) = 0
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 9 = 0 ⇒ x = 9
The excluded values are x = - 2, x = 9
can someone help? please
science pls answer I give brainliest
Answer:
I would say B
Step-by-step explanation:
Some inland areas can be warm but cold where-as some places near the coast stay warm most of the time
How did you get -16 from -9-5-20?
Answer:
it would be -34
Step-by-step explanation:
5x≥7 solve the equation plz I need help
Answer:
Step-by-step explanation:
5x≥7
Divide both sides by 5
x ≥7/5
the polygons in each pair are similiar. help find the missing side length???
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
Since the polygons are similar, we can use the formula: [tex]\frac{x}{15}=\frac{32}{40}[/tex]. Using cross-multiplication , we obtain: [tex]40x=15*32\\x=\frac{15*32}{40}= 12[/tex].
A car is moving at a steady rate. The distance it travels is proportional to the amount of time, in hours, it has been driving. It has traveled a total of 168 miles in 3 hours. (a) What is the ratio of the distance to the number of hours? Express as a fraction and as a unit rate with appropriate units.
Step-by-step explanation:
let distance travelled be d miles and time be t hours.
d = kt where k is a constant, k ≠ 0
168 = 3k
k = 56
d/t = k
hence it's ratio is 56 : 1 and fraction is 168/3 = 56/1 and fraction with unit is 56miles/hour.
Topic: direct & inverse proportions
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We can describe 15x-10 as an expression
We would describe 9x+5=32 as an
We would describe 9x+5=32 as an equation.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, We can describe 15x-10 as an expression, We would describe 9x+5=32 as an:
A function is a collection of ordered pairs where each input (x-value) has a single relationship to each output (y-value). An equation need not always be a function. If an equation satisfies the criteria for a function, then it is a function. However, not all equations are functions.
A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation.
Therefore, We would describe 9x+5=32 as an equation or a function.
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Evaluate (2 * x - 4) for x = 2
Answer:
0
Step-by-step explanation:
The expression we are given is (2 * x - 4).
We need to find the value of expression when x = 2.
Let's substitute 2 in as x.
Now our expression is (2 * 2 - 4).
First, let's multiply our 2 with our substituted 2.
1. 2 * 2 = 4
We're left with (4 - 4).
Finally, let's evaluate this expression.
2. (4 - 4) = 0.
Our answer is 0.
So (2 * x - 4) when x = 2 is 0.
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Brainliest!! Pls help
Answer:
its c
Step-by-step explanation:
that one is shaded down other one is shaded up (up = greater)( down= less)
how do I solve 9x-4= -44
A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality? Express your answer in decimal form.
Answer:
2/5
Step-by-step explanation:
Raina drove 936 miles in 13 hours.
At the same rate, how long would it take her to drive 576 miles?
Answer:
8 hours
Step-by-step explanation:
72 miles per hour
576/72= 8