If "the sum of 3 and a number is 16" is given, we can rewrite it as an equation (note that "a number" refers to a variable, commonly x):
3 + x = 16
Now, simply use the Subtraction Property of Equality (subtract 3 from both sides):
3 + x - 3 = 16 - 3
x = 13
Therefore, the number, or x, is equal to 13.
Hope this short response helps! :)
Write the equation of line in slope-intercept form.
Line parallel to y=3x−2 that passes through the point (5,8)
y=3x-7 that's the answer
The equation of a line that is parallel to y=3x−2 and passes through the point (5,8) is y = 3x - 7, since parallel lines share the same slope and the y-intercept was calculated using the given point.
Explanation:To write the equation of a line that is parallel to a given line and passing through a certain point, you need to know that parallel lines have the same slope. The line y=3x−2 has a slope of 3. So the line parallel to it will also have a slope of 3.
The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Since we already have the slope, we only need to find the y-intercept, b. We do this by plugging the given point coordinates (5, 8) into the equation and solving for b:
8 = 3*5 + b, which gives b = 8 - 15 = -7.
Therefore, the equation of the line parallel to y=3x−2 and passing through the point (5,8) is y = 3x - 7.
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Subtract.
3/8−(−5 1/4)
Enter your answer, as a mixed number in simplest form.
P.S -5 1/4 is a mixed number)
Multiplying numerators and denominators to get the LCD in all fraction denominators
= 38−21×24×2
Then rewriting the equation with the equivalent fractions
= 38−428
With like denominators we can operate on just the numerators
= 3−4 2/8
=−39/ 8
Simplifying the answer
= − 39/8
= − 39/8
= − 4 7/8
I need help with this
Jonathan is 5 years older than his brother Chase.
Chase's Age = c
Jonathan's Age = c+5
Three times Jonathan's age would be 3(c+5).
The sum of Chase's age, c, and three times Jonathan's age, 3(c+5), is 55.
c+3(c+5)=55
The answer is B.
Four girls helped Mr. Day plant a garden. For their help, he gave the girls $24 to share equally.later, mrs. day gave each girl $2 for helping to clean up. How much money did each girl get?
First take note that Mr. Day gave them $24 to share and Mrs. Day gave each of them $2. There were also four girls in total.
So we'll divide 24 by 4 resulting each girl getting $6 each from Mr. Day.
Now we'll add the $2 Mrs. Day gave them resulting in the answer.
Each girl made $8 from Mr. and Mrs. Day
Each girl made eight dollars
Please help! I just need the answer and I think a graphing calculator is needed for this
Given points (5,102) (4,74) and (-2,-10)
We frame 3 equations using the given points
[tex]y=ax^2+bx+c[/tex]
Plug in (5,102)
[tex]102=a(5)^2+b(5)+c[/tex]
102 = 25a +5b + c -------> first equation
Plug in (4,74)
[tex]74=a(4)^2+b(4)+c[/tex]
74 = 16a +4b + c----> second equation
Plug in (-2,-10)
[tex]-10=a(-2)^2+b(-2)+c[/tex]
-10 = 4a -2b + c -----> third equation
Now we use the three equation and solve for a,b,c
Use first and second equation and subtract it
102 = 25a +5b + c
-74 = -16a -4b - c
----------------------------------
28 = 9a + b --------------> fourth equation
Subtract third equation from first equation
102 = 25a +5b + c
10 = -4a +2b - c
----------------------------------
112 = 21a + 7b --------------> fifth equation
Use fourth and fifth equation
28 = 9a + b
112 = 21a + 7b
Multiply the fourth equation by -7
-196= -63a -7b
112 = 21a + 7b
-----------------------
-84 = -42a
Divide by -42 on both sides
a= 2
Plug in the value of a=2 in fourth equation
28 = 9a + b
28 = 9(2) + b
28 = 18 + b ( subtract 18 from both sides)
b = 10
Plug in the values in third equation and find out c
-10 = 4a -2b + c
-10= 4(2) -2(10)+c
-10 = -12 + c
c= 2
We got a=2, b=10 and c=2
So equation becomes [tex]y=2x^2+10x+2[/tex]
if there is 1/2 of a pizza and Jonas wants only 1/3 of it, how much of the pizza will he eat?
1/5
2/5
1/6
2/6
plz help asap!!!
i think that it is 1/6
Answer:
But why is it 1/6? Why don't you divide?
Step-by-step explanation:
BRAINLIEST ANSWER TO FIRST COMMENT
Which of the following are remote interior angles of 6? check all that apply
Solve the problem. The formula d = rt gives the distance traveled in time t at rate r. If a bicyclist rides for 2.3 hours and travels 41 miles, what was her average speed ?
Question options:
a: 38.7 miles per hour
b: 5.6 miles per hour
c: 17.83 miles per hour
d: 9.43 miles per hour
Answer:
17.83
Step-by-step explanation:
d = r*t
d = 41 miles
t = 2.3 hours
r = ??
d = rt Substitute
41 = r * 2.3 Divide by 2.3
41 / 2.3 = r Switch sides
r = 41/2.3
r = 17.83 mph Answer
h= 1/2 gt2 Take a look at the figure. The distance h a body will move in free fall is expressed by the formula shown. If g = 980 centimeters per second2 and t = 20 seconds, what is the distance? A. 9,800 centimeters B. 368,000 centimeters C. 49,000 centimeters D. 196,000 centimeters
how much change will you get back if you bought three $0.78 chocolate bars and paid with a 5$ bill
3 times 0.78 = 2.34 dollars
5.00 - 2.34 = 2.66
So your change is $2.66
What’s the product of -3(-4/7)
Multiply.
Exact Form: [tex]\frac{12}{7}[/tex]
Decimal Form: 1.714285...(the decimal digits repeat)
Mixed Number Form: 1[tex]\frac{5}{7}[/tex]
X/-3+20=30 help me please
if you're solving for x it's -30
steps: x/-3+20=30
first subtract 20 from both sides then you'll have
x/-3=10 then multiply both sides with -3
you should have x by itself and -30 on the other side
answer x=-30
if you're solving for x it's -30
steps: x/-3+20=30
first subtract 20 from both sides then you'll have
x/-3=10 then multiply both sides with -3
you should have x by itself and -30 on the other side
answer x=-30
He rounded the number to 2.55to which place value did round speed of a honeybee
what is 4/9 + 5/8 it's hard
Answer,
77/72 or 1 5/72
Hope this helps :-)
4/9
+
5/8
=
(4 × 8) + (5 × 9)/9 × 8
=
77/72
OR 1 5/72
over the interval 2 to 4 by how much does the function increase. explain
The function increases by by 2 because of yo ylook at it 2+2=4 and well backwards 4-2=2 so the answer is 2. Hope hat made a lot of sense and that it helped you a lot with your problem and answer
(01.07, 02.01 MC) Brian solved the following equation: 6(3x – 5) = 4(4x + 2) Step Work Justification 1 18x – 30 = 16x + 8 2 2x – 30 = 8 3 2x = 38 4 x = 19 Which of the following has all correct justifications Brian used to solve this equation? 1. Associative property of addition. 2. Subtraction property of equality. 3. Addition property of equality. 4. Multiplicative inverse. 1. Associative property of addition. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality. 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Division property of equality. 1. Distributive property. 2. Subtraction property of equality. 3. Addition property of equality. 4. Multiplicative property of equality.
6(3x - 5) = 4(4x + 2) Given
(6)(3x) + (6)(-5) = (4)(4x) + (4)(2) Distributive property
18x - 30 = 16x + 8
18x - 16x - 30 = 16x - 16x + 8 Subtraction property of equality
2x - 30 = 8
2x - 30 + 30 = 8 + 30 Addition property of equality
2x = 38
2x : 2 = 38 : 2 Division property of equality
x = 19
The plasma membrane is composed of a phospholipid bilayer with embedded proteins. What is one of the functions of the embedded proteins?
he plasma membrane is phospholipid bilayer. The layers are two and are continuous flat sheets. They have proteins and cholesterol embedded in them, for facilitating the transport of compounds and maintanng fluidity. The lipid bilayer is both hydrophobic and hydrophillic.
98÷5194
please help me out
Is 7 + square root of 5 equal to square root of 5 plus a number, what do you know about the number? Why?
Aiden works in a warehouse. 1,200 men work in the warehouse, while only 300 women work at the warehouse. Write a ratio that compares men to women working at the warehouse.
700 more men then women
4 of every man theres at least 1 women which comes out as 4:1
help please:
two numbers sum to 65 twice the first subtracted from the second is 5 find the numbers
a+b = 65
b - 2a = 5
Solve one variable in terms of another:
b = 5 + 2a
Substitute in this variable:
a + 5 + 2a = 65
3a = 70
a = 23.3
Use this to find the other variable:
23.3 + b = 65
b = 41.7
Check the answer:
23.3 + 41.7 = 65
65 = 65
ANSWERS:
a = 23.3
b = 41.7
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELP!!!!
2. ⦁ Justify each step in solving the equation by writing a reason for each statement.
3. ⦁ Provide reasons for the proof.
PLEASE ANSWER CORRECTLY, THE PICTURES ARE BELOW
Answer:
1. QS bisects ∠ PQR of Δ PQR.⇒[Given]
2. ∠PQS = 90° [Given]
3.∠PQS =∠RQS ⇒[QS bisects ∠ PQR]
4. .∠PQS +∠RQS =90° [∴∠PQS = 90°⇒given]
2∠PQS =90°⇒ [∠PQS =∠RQS ]
∠PQS=45°
So,∠PQS =∠RQS =45°
2.∠ 2= ∠ 4 [Given]
⇒∠ 2≅ ∠ 4[ congruency postulate]
∠2 and ∠ 3 are supplementary.⇒°[given]
⇒∠2 + ∠ 3=180° [ By the definition of supplementary].........(1)
∠1 and ∠4 are supplementary.⇒[∠1 and ∠4 form linear pair.]
⇒∠1 +∠4=180°[By the definition of supplementary]..............(2)
⇒∠2 + ∠ 3 =∠1 +∠4 [both of them are equal to 180, so they are equal to each other.⇒ Two things equal to same thing are equal to each other[Euclid postulate]]
⇒∠4 +∠3=∠1+∠4 [∠2=∠4⇒(given)]
⇒∠3=∠1 [law of cancellation]
⇒∠3≅∠1 [ Congruency property]
If U = 3 inches, V = 5 inches, W = 8 inches, X = 6 inches, Y = 8 inches, and Z = 5 inches, what is the area of the object?
A.
65 square inches
B.
77 square inches
C.
64 square inches
D.
71 square inches
The area cannot be calculated without knowing the shape of the object these measurements belong to or how these measurements are arranged. Different shapes require different calculations for area.
Explanation:The question is asking for the area of an object given certain dimensions, but without knowing what type of object these measurements belong to or how these measurements are arranged, it's impossible to accurately calculate an area. Area calculation differs based on the shape of the object. For instance, the area of a square or rectangle is calculated by multiplying its length by its width, the area of a circle is calculated using pi times the radius squared, and the area of a triangle is calculated by multiplying the base by the height and then dividing by two. Each of these calculations uses different dimensions in different ways. We would need more information to solve this problem.
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The area of the object will be 63 square inches. Then the correct option is C.
It addresses the various forms' sizes, shapes, regions, and densities in both two and three dimensions.
In the event that w = 7 inches, x = 6 inches, y = 8 inches, z = 5 inches, and u = 3 inches, v = 4 inches.
The figure displays all of the dimensions.
The combination of two rectangles and one triangle then makes up the geometry's area.
Area is equal to the sum of the areas of the three triangles, the rectangles 1 and 2.
Area = 5 x 8 + 4 x 5 + (1/2) x 3 x 2
Area is 40 + 20 + 3.
Area = 63 square inches
Then, choice C is the right one.
Complete question:
If u = 3 inches, v = 4 inches, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches, what is the area of the object?
A.60 square inches
B.66 square inches
C.63 square inches
D.56 square inches
value of 2(X+Y)- (X-Z) IF X=2, Z=-3 Y=1
The answer your looking for is.... 1
Graph 3.75 on a number line
A jug holds 5 gallons of water. If a glass holds 4 ounces of water. How many glasses cam be drawn from the water jug?
Conversion Factors.
1 cup = 8 fluid ounces.
4 cups = 1 quart
4 quarts = 1 gallon
Solution
Use a method call unit fractions. It is simple to use. All you do is arrange the fraction so that 1 part of the unit fraction on the right cancels with 1 part of the fraction on its left. Then divide the numerator by the denominator when each has been multiplied. All this will become clearer if you follow the example below.
[tex]\text{5 gallons} * \dfrac{4 quarts}{1 gal}*\dfrac{4 cups}{1 quart}*\dfrac{8 oz}{1 cup}*\dfrac{1 glass}{4oz}[/tex]
numerator: 5 * 4 * 4 * 8 * 1 = 640
denominator: 1 * 1 * 1 * 1 * 4 = 4
Answer: numerator/ denominator = 640/4 = 160 glasses / 5 gallons.
The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 15° more than the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
Answer:
Angle total (180°) = 15° + other 2 angles
165° = other 2 angles
EACH of the other 2 angles = 165/2 = 82.5°
Step-by-step explanation:
If f(x)=7x+4 and g(x)=1/2, what is the value of (f/g)(5)?
HURRYYYYY PLEASEEE
(7(5)+4)/(1/2)=39/.5=78
Rectangle Q has an area of two square units. Thea drew a scaled version of rectangle Q and labeled it rectangle R. what scale factor did Thea use to go from rectangle Q to rectangle R?
Answer:
6
Step-by-step explanation:
The area of a polygon created with a scale factor of xxx is x^2x
2
x, start superscript, 2, end superscript times larger than the original polygon:
\text{scale factor}^2=\text{how many times larger area of scale copy is}scale factor
2
=how many times larger area of scale copy iss, c, a, l, e, space, f, a, c, t, o, r, start superscript, 2, end superscript, equals, h, o, w, space, m, a, n, y, space, t, i, m, e, s, space, l, a, r, g, e, r, space, a, r, e, a, space, o, f, space, s, c, a, l, e, space, c, o, p, y, space, i, s
The area of Rectangle RRR is 363636 times greater than the area of Rectangle QQQ. Let's substitute 363636 into the equation to find the scale factor.
?^2=36?
2
=36question mark, start superscript, 2, end superscript, equals, 36
The scale factor is 666.
Hint #33 / 3
Thea used a scale factor of 666 to go from Rectangle QQQ to Rectangle RRR.
Answer:
6
Step-by-step explanation:
The area of a polygon created with a scale factor of xxx is x^2x
2
x, start superscript, 2, end superscript times larger than the original polygon:
\text{scale factor}^2=\text{how many times larger area of scale copy is}scale factor
2
The area of Rectangle RRR is 363636 times greater than the area of Rectangle QQQ. Let's substitute 363636 into the equation to find the scale factor.
?^2=36?
2
=36question mark, start superscript, 2, end superscript, equals, 36
The scale factor is 666.
Hint #33 / 3
Thea used a scale factor of 6 to go from Rectangle Q to Rectangle R.
How many cattle are there on the lazy circle double bar for square ranch
Answer:
There are 5000 cattle
Step-by-step explanation:
Based on your given information there should be 5000 cattleN=100×50
The simplified expression is 22m + 42, and the number of cattle on the Lazy Circle Double Bar for Square Ranch depends on the value of m that represents the relevant metric for cattle population.
To simplify the expression 7(2m + 6) + 8m, we first distribute the 7 across the terms inside the parentheses:
7(2m + 6) = 7 * 2m + 7 * 6 = 14m + 42
Then, we combine like terms by adding the 14m and 8m:
14m + 8m = 22m
Now, we substitute this result back into the original expression:
7(2m + 6) + 8m = 14m + 42 + 8m = 22m + 42
So, the simplified expression is 22m + 42.
To find the number of cattle on the Lazy Circle Double Bar for Square Ranch, we need to know the value of m, which represents the number of cattle per unit area or another relevant metric. Once we know the value of m, we can substitute it into the simplified expression 22m + 42 to find the total number of cattle.
For instance, if m = 100, then the expression becomes 22(100) + 42 = 2200 + 42 = 2242 cattle on the ranch.
In summary, the simplified expression is 22m + 42, and the number of cattle on the Lazy Circle Double Bar for Square Ranch depends on the value of m that represents the relevant metric for cattle population.
The question probable may be:
How many cattle are there on the lazy circle double bar for square ranch. Simplify expression below and find your answer in the corresponding answer column.
7(2m +6) + 8m