Answer:20 and 14
Step-by-step explanation:
Final answer:
The two numbers sought are 27 and 7, with 27 being the larger number and 7 being the smaller number, 20 less than 27. This is determined by setting up a system of equations based on the given conditions and solving for the two unknowns.
Explanation:
The question involves finding two numbers based on the conditions given: the sum of the two numbers is 34, and the smaller number is 20 less than the larger number. Let's denote the larger number as x and the smaller number as y. According to the conditions, we have two equations: x + y = 34 and y = x - 20.
We can substitute the second equation into the first to find the value of x: x + (x - 20) = 34, which simplifies to 2x - 20 = 34. Adding 20 to both sides gives us 2x = 54, and dividing both sides by 2 yields x = 27. Now that we know the larger number, we can find the smaller number by substituting x into the second equation: y = 27 - 20, which gives y = 7. Therefore, the two numbers are 27 and 7.
Solve for x
: 6x+ 8 = 9
Answer:
1/6
Step-by-step explanation:
6x+8= 9
Subtract 8 from both sides:
6x+8-8= 9-8
6x= 1
Divide by 6 on both sides
6/6x= 1/6
x= 1/6
Answer: x=1/6
Step-by-step explanation:
subtract the 8 from the left side to the right side to get 9-8= 1. then you will have 6x=1. divide six on both sides to get x=1/6
HELP ME PLEASE WITH THIS
The temperature rises 22 degrees from 5 am to noon. The temperature drops 18 degrees from noon to 7 pm. The temperature drops another 6 degrees between 7 pm and 5 am . If the temperature at 5 am on the next morning is 63° F, what was the temperature at 5 am on the first morning?
Answer:
65˚
Step-by-step explanation:
You do everything opposite:
63˚+6˚=69˚
69˚+18˚=87˚
87˚-22˚=65˚
Please tell me if i'm wrong.
123,000,000 as a multiple of a power of 10
123,000,000 as a multiple of a power of 10 is 1.23 x 10⁸.
What is power of 10?The large values when shortened, they are written in the form of power of 10 by shifting decimals.
123,000,000 has eight zeroes to reduce and taken to the power of 10. Put decimal after counting eight digits from the right.
123,000,000 can be written as 1.23 x 10⁸.
Thus, 123,000,000 as a multiple of a power of 10 is 1.23 x 10⁸.
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To express 123,000,000 as a multiple of a power of 10, we identify it as 1.23 x 10^7.
The question asks to express 123,000,000 as a multiple of a power of 10. To do this, we need to understand how exponents of 10 work. The exponent tells us how many zeros are added to the right of 1 to create the number. For instance, 10^2 equals 100 because there are two zeros.
In the case of 123,000,000, we count the zeros following the initial digit(s). There are 7 zeros. Therefore, we can express 123,000,000 as 1.23 x 10^7. Here, 1.23 is the coefficient (a value greater than or equal to 1 but less than 10), and 10^7 indicates that the decimal point in 1.23 is moved 7 places to the right to get the original number, 123,000,000.
This method of notation is commonly used in scientific notation, which simplifies large numbers by expressing them as a multiple of a power of 10. It's a useful way to work with very large or very small numbers efficiently.
ANSWER FAST| Point E Is drawn on the graph so that line EF is parallel to line CD
____________________
If the coordinates of point E are (-4, y), what is the value of y ?
• -8
• -4
• 0
• 8
Giving 30 points and the brainliest
The required y coordinate of E is -8. Option A is correct.
The graph is shown, point E Is drawn on the graph so that line EF is parallel to line CD. Point E is (-4, y), and the value of y is to be determined.
What is a line?The line is a curve showing the shortest distance between 2 objects in space.
Here, the Slope of line CD = 2/5 = slope of line EF (cause both lines are parallel)
The Coordinate of point f is (6,-4)
Line EF y+4 =2/5(x-6)
The coordinate of E is (-4, y)
for x = -4
y+4=2/5(-4-6)
y+4 = 2/5(-10)
y = -2*2-4
y = -8
than coordinates of E is (-4,-8)
Thus, the required y coordinate of E is -8
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Hey! The faster this is done, the faster I love you. (No homo if you're a girl) BUT ANYWAY can anyone do this for me?
0.75 Sq. Ft2
Area of a Square= Side length x Side length
Answer = (Side length x Side length) square area
Using the dimensions of a new scale drawing created using a scale factor of 0.15, find the dimensions of the original rectangle.
Width:
Length:
Answer:
Width- 15.8 ft.
Length- 32 ft.
To find the dimensions of the original rectangle when given the dimensions of a new scale drawing using a scale factor of 0.15, divide the corresponding dimensions of the scale drawing by 0.15.
Explanation:The scale factor of 0.15 means that the new dimensions in the scale drawing are 0.15 times the original dimensions. To find the dimensions of the original rectangle, divide the corresponding dimensions of the scale drawing by 0.15.
Let's say the width and length of the new scale drawing are 10 units and 15 units, respectively. To find the original width and length, divide 10 by 0.15 and 15 by 0.15.
The original width would be 66.67 units (10 / 0.15) and the original length would be 100 units (15 / 0.15).
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factor completely: 21a+27
Answer:
3(7a + 9)
Step-by-step explanation:
21a + 27
3(7a + 9)
When you expand
3 x 7a + 3 x 9
21a + 27
A stick 1 meter long casts a shadow 1.2 meters long. A building casts a shadow 17 meters long. How tall is the building (to 2 decimal places)
Answer:
14.17m
Step-by-step explanation:
1 / 1.2 = x / 17
x = 17 / 1.2 = 14.1666667 -> 14.17m
14.17m tall is the building (to 2 decimal places).
What is after the decimal point?Digits after the decimal point. The position of the digit to the right of the decimal point of the number is written in decimal notation. For example, 0.079 has 0 decimal places, 7 decimal places, and 9 decimal places.
Rounding a decimal number to two decimal places is the same as rounding to one-hundredth of the second decimal place. For example, 2.83620364 can be rounded from 2.84 to two decimal places, and 0.7035 can be rounded from 0.70 to two decimal places.
1 / 1.2 = x / 17
x = 17 / 1.2 = 14.1666667 -> 14.17m
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Consider triangle DEF. The legs have a length of 36 units each. What is the length of the hypotenuse of the triangle
Answer: d. 36√2
Step-by-step explanation:
This means;
36²+36²=c² ---------where c is the hypotenuse
1296+1296=c²
2592=c²
√2592=c
√32 × √81 =c
√2 × √16 × 9 =c
√2 × 4×9 =c
36√2 = c
Answer:
D
Step-by-step explanation:
Evaluate.
64: (48 – 42)
Answer:
32:3
Step-by-step explanation:
64:(48-42)
Note that 64:(48-42)
Can also be written as 64/(48-42)
So let's solve (48-42) first
=6
So 64/(48-42)=64/6
64/6
Divide both by 2
32/3
So let's convert back to ratio
32:3
Therefore the final answer is 32:3
In the diagram GHJ is approximately congruent to STU what are the missing measures
Answer:
67
67
46
5
3.7
Step-by-step explanation:
how many times larger is 2000 than 2
Answer:
1000 times
Step-by-step explanation:
You can figure this out by counting the place values that separate them. :D
im pretty sure im correct because the "|" (vertical lines) mean absolute value right?
You are absolutely correct! Great job
In the figure below, C is the intersection of AD and
BE. If it can be determined, what is the measure of
ZBAC?
45°
B35
A. 80°
B. 100°
C. 110°
D. 1150
E. Cannot be determined from the given information
Answer:
E. Cannot be determined from the given information
What is a decimal that is equivalent to the fractior
32/100 enter the answer in the box.
Answer:0.32
Explanation:
The reason why this is the answer is because if you look at a place value chart, you could see that hundreds is the second place after the decimal point so you would put the numerator right after the decimal point.
A decimal that is equivalent to the fraction 32/100 is 0.32.
How can we convert a fraction to a decimal?We can convert a fraction to a decimal by dividing the numerator by the denominator. For example, to convert 32/100 to a decimal, we divide 32 by 100, which gives us 0.32.
To convert a fraction to a decimal, we divide the numerator (top number) by the denominator (bottom number).
In this case, we want to convert 32/100 to a decimal. Dividing 32 by 100 gives us 0.32 as the decimal equivalent of the fraction.
A fundamental mathematical concept is the ability to transform a fraction to a decimal. In a fraction, the denominator denotes the total number of parts in the whole, whereas the numerator denotes the number of pieces. Divide the numerator by the denominator to convert a fraction to a decimal. To obtain the decimal equivalent of 32 in this situation, we divide 32 by 100. By multiplying this decimal by 100, we can also convert it to a percentage, which gives us 32%.
Therefore, the decimal equivalent of 32/100 is 0.32.
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Solve each equation a. 25-3x=40
b. 1/3(x-10)= -4
What does x equal to for each equation?
Answer:
a. x = -5
b. x = -2
Step-by-step explanation:
a.
40=25-3x
40=25-(-15)
x should be -5 for a
b.
-4=1/3(x-10)
-4=1/3(-2-10)
-4=1/3(-12)
x should be -2 for b
Sasha bowled 4 games. Her scores were 102, 112, 96, and 98. What is the mean of Sasha's scores?
Answer:
102
Step-by-step explanation:
add all of the numbers together
102+112+96+98=408
divide it by 4 (because there are 4 scores)
408/2=102
Answer:
102
Step-by-step explanation:
You add all the numbers up and divide them by 4. This will depend on how many numbers you are adding together.
Round 293.974373347 to 1 decimal place.
Answer:
bruh. 294.0
Step-by-step explanation:
Answer: 294.0
Step-by-step explanation: 974373347 rounds up to 0 and the 3 in 293 round up to 294
The Sum of The Angles in a Triangle please dont answer yet have to add attachemnt
Answer:
the answer is 120 degrees
Step-by-step explanation:
all the angles are 60 on the inside
Answer:
the answer is 120°
Step-by-step explanation:
this is because all the sides measure equally, which makes this an equilateral triangle
this means that each of the interior angels is 60°
so the two interior angles are equal to their country exterior angle
The length of a rectangle is twice the width. The perimeter is 126 centimeters.
Which system of equations will determine the length, L, and the width, W, of the rectangle?
А.)L+2 = W
2L+ 2W = 126
B.)L+W = 2
LW = 126
C.)L=2W
21+ 2W = 126
D.)W = 2L
L+ 2W = 126
E.)2L = W
L+ W = 126
Final answer:
Choose the equations L = 2W and 2L + 2W = 126 to determine the length and width of the rectangle accurately that is option C is the correct answer
Explanation:
The correct system of equations to determine the length, L, and the width, W, of the rectangle is:
L = 2W
2L + 2W = 126
This system reflects the relationship between the length and the width given that the length is twice the width and the perimeter is 126 centimeters.
If j = 2 cm and k= 2.5 cm, what is the length of /?
A 1.5 cm
B. 2 cm
C. 1 cm
D. 3.5 cm
Answer:
d
Step-by-step explanation:
if yourw talking about diagonals its d
What is the length of AB—?
Enter the correct value
Answer:
Step-by-step explanation:
Since it is a parallelogram so opposite sides are equal and parallel
4y = y + 18
4y - y = 18
3y = 18
y = 18 / 3
y = 6
Now
Length of AB = 4 * 6 = 24
hOPE IT HELPED :)
Answer:
y=6
AB= 24 units
Step-by-step explanation:
In a parallelogram the opposite or facing sides are equal therefore AB=CD
Write an equation and solve each problem.
Find three consecutive integers with a sum of -36.
Answer:
-13,-12,-11
Step-by-step explanation:
x --- first integer
x+1 --- second integer
x+2 --- third integer
x+(x+1)+(x+2)=-36
3x+3=-36
3x=-39
x=-13
Answer:
13 12 11 negative
Step-by-step explanation:
Which pair of triangles can be proven congruent by SAS? 2 identical triangles are shown. The triangle is reflected across a line to form the second triangle. 2 identical triangles are shown. The triangle is rotated 90 degrees to form the second triangle. 2 identical triangles are shown. The triangle is reflected across a line and then rotated to form the second triangle. 2 identical triangles are shown. The triangle is rotated up and to the left 90 degrees to form the second triangle.
Answer:
its the third option
Step-by-step explanation:
the one with 2 rings on the second longest angle 2 lines on longest side one side and 1 line on the shortest side
All the described pairs of triangles that are reflected, rotated, or both, can be proven congruent by the SAS postulate because such rigid transformations preserve the congruency of sides and angles.
Explanation:To determine which pair of triangles can be proven congruent by the SAS (Side-Angle-Side) postulate, we look for two sides of a triangle and the included angle that are congruent to two sides and the included angle of another triangle. When a triangle is reflected across a line, rotated 90 degrees, or both reflected and rotated, it maintains its size and shape, thus the corresponding sides and angles remain congruent.
A reflection or rotation (including a combination of both) is a type of rigid transformation which preserves the size and shape of figures. Hence, all the given pairs of triangles can be proven congruent to the original triangle through the SAS postulate, as rigid transformations do not alter the congruity of sides and included angles.
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Use the two equations from questions 1 and 2 to figure out how many
jerseys Bill would need to order for the price from 'Top Print' to be less
than from "Print It'. Explain how you figured it out.
Answer: multiply u would get 50
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
trust the process
Over which interval(s) is the function decreasing? Please help me I will thank you and give you five stars ⭐️
2k−12−2=−4 what does k equal i think its 10 but im not sure
Answer:
k=5
Step-by-step explanation:
2k-12-2=-4
2k-14=-4
+14 +14
2k=10
divide by 2 to cancel the k
k=5
Answer:
k= 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
A coffeepot contains 1 1⁄2 quarts of coffee. After Tonya pours an equal amount of coffee into two cups, 3 1⁄2 cups of coffee remain in the pot. How much coffee did Tonya pour into each cup?
Answer:
1.25cups(8oz/1cup)=10 ounces
Step-by-step explanation:
we convert 1 1/2 quarts to cups. There are 4 cups in a quart:
1 1/2 quarts= 3/2 quarts (4 cups/ 1 quart)= 6 cups
Amount poured out:
6 cups- 3.5 cups= 2.5 cups
Amount poured in each cup:
2.5/2=1.25 cups
need an explanation and answer for -25/28 ÷ (5/4)
Answer:
-5/7
Step-by-step explanation:
When you divide fractions, you flip the second fraction, then multiply.
So it becomes -25/28 x 4/5.
This equals -100/140 which reduces to -5/7.
Pls help, I have been on this question for legit 2 h
(4/5) 60 = 48 potatoes only, filled in correctly in the box
(1/5) 60 = 12 beets only; put that in the rightmost box
That leaves 40 for the middle, both potatoes and beets.
Answer: fill in the boxes 48 40 12