Answer:
a=2 and b=3
Step-by-step explanation:
5(2) +2(3) = 10 +6 =16
3(2) + 2(3) = 12
What is the Value of the angle AEX
Answer:
52
Step-by-step explanation:
I take it that x is somewhere near the end of the diagonal line, so you want to know the value of 3x + 1???
We know that (3x + 1) + (2x + 4) = 90 degrees. That's because AEF = 90 degrees.
So begin by removing the brackets.
3x + 1 + 2x + 4 = 90 Combine the like terms.
5x + 5 =90 Subtract 5 from both sides.
5x + 5 - 5 = 90 - 5 Combine
5x = 85 Divide by 5
x = 17
3x + 1 = 3*17 + 1 = 51 + 1 = 52
Please please help! Its due soon!! Ill mark brainliest!!
I need side b, using tangent!! Thank you!!
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
Step-by-step explanation:
Hope it helps!
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
. Step-by-step explanation:
Hope it helps!
Do these pairs of values (x and y) represent two quantities that are
proportional?
ху
3 12
520
624
9 36
Answer:
yes
Step-by-step explanation:
Each value of x multiplied by 4 gives the corresponding value of y, that is
3 × 4 = 12
5 × 4 = 20
6 × 4 = 24
9 × 4 = 36
Thus x and y are proportional and the constant of proportion is 4
What is the 100th term of the sequence with a1 = 222 and d = -5
Answer:
-273
Step-by-step explanation:
222- (99*5)
222-495
-273
Answer:
-273
(next time if their is options maybe also try and put them, it would help a lot)
The ratio of boys to girls in Ms. Alper’s math classes is 5 ∶ 7. If there are 60 boys in all of her classes, how many girls are there ?
Plz help im so dumb ;-;
Answer:
I think it's 80 I'm sorry if I'm wrong
Answer:
the person above is incorrect I think it may or may not be 75
express 50 1/4 in simplest radical form
Answer:
Step-by-step explanation:
This is just an improper fraction when done.
numerator: 50*4 + 1 = 200 + 1 = 201
denominator: 4
Answer: 201/4
The centroid cuts each median into two segments. The shorter segment is _ _ _ _ the length of the entire segment.
Answer:
Step-by-step explanation:
One third
The centroid of a triangle divides each median.
The shorter segment is 1/3 and the length of the entire segment is 1
The centroid of a triangle divides the median in the following ratio
[tex]\mathbf{Ratio = 2 : 1}[/tex]
The fraction of the shorter segment is:
[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]
[tex]\mathbf{Short = \frac{1}{3}}[/tex]
Hence, the shorter segment is 1/3, while the entire segment is 1.
Read more about centroids at:
https://brainly.com/question/11891965
Evaluate the expression. Need Answer Asap
Answer:
3
Step-by-step explanation:
(4p-m)/4
m=-4 and p=2
Since you know what m and p represent, it shouldn't be hard to solve.
(4 [2] - [-4] )/4 The 4 would be positive since there are two negatives.
(8 + 4)/4 Do the work inside the parenthesis first...
(12)/4 now divide.
Answer:
I hope this helps
Step-by-step explanation:
plz mark brainliest
Suppose that y is inversely proportional to the 4th power of x, and that y=15 when x=5. What is y when x=7? Round your answer to two decimal places if necessary.
Answer:
y = 3.91 when x =7
Step-by-step explanation:
y = k / x⁴
Where,
k = constant of proportionality
y=15 when x=5
y = k / x⁴
15 = k / 5⁴
Cross product
15 × 5⁴ = k
15 × 625 = k
9,375 = k
What is y when x=7?
y = k / x⁴
= 9,375 / 7⁴
= 9,375 / 2401
= 3.9046230737192
Approximately
y = 3.91
£3 will buy 5 meals for one person.
(a) work out the cost of one meals
give an answer in pence
I will mark brainest for the working out pls and it has to be the correct answer and working out.
I need a answer asap (as soon as possible)
Randy, Sandy and Todd are my cousins and their combined age is 87 years. Randy is four times as old as Sandy, but Todd is actually 15 years older than Sandy. How old are each of my cousins
Answer:
Randy is 48 years old
Sandy is 12 years old
Todd is 27 years old
Step-by-step explanation:
Given
Represent their ages with the first letters of their names:
[tex]R + S + T = 87[/tex]
[tex]R = 4 * S[/tex]
[tex]T = 15 + S[/tex]
Required
Determine their individual ages
We'll solve the above equations using substitution method of simultaneous equations
Substitute 15 + S for T and 4 * S for R in [tex]R + S + T = 87[/tex]
This gives:
[tex]4 * S + S + 15 + S = 87[/tex]
[tex]4 S + S + 15 + S = 87[/tex]
Collect Like Terms
[tex]4 S + S + S = 87 - 15[/tex]
[tex]6S = 72[/tex]
Divide through by 6
[tex]S = 72/6[/tex]
[tex]S = 12[/tex]
This implies that Sandy is 12 years old
Substitute 12 for S in [tex]R = 4 * S[/tex] and [tex]T = 15 + S[/tex]
[tex]R = 4 * 12[/tex]
[tex]R = 48[/tex]
[tex]T = 15 + 12[/tex]
[tex]T = 27[/tex]
This implies that Randy is 48 years old and Todd is 27
1. Explain why 3(x + 4) = 3(x - 5) has no solution.
Answer:
There is no solution because they are not equal
Step-by-step explanation:
3(x + 4) = 3(x - 5) cannot simply happen, as they are not equal.
Hope this helps!
what does rise over run mean in math?
Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.
Step-by-step explanation:
5/8 divided by 1 and 1/3?
Answer:
15/32
Step-by-step explanation:
First convert 1 1/3 to improper fraction:
1 1/3 = 4/3
5/8 divided by 4/3 is same as...
[tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]
what is the slope of the line, (-6, -8) and (2, 8)?
Answer:
Your slope would be 2.
Step-by-step explanation:
To find the slope, you would need to use the formula: y2-y1/x2-x1
In this case, the equation would be 8-(-8)/2-(-6)
8 - (-8) = 16
2 - (-6) = 8
16/8 = 2
Slope: 2
A freight train traveling along a certain route uses 12 units of fuel per mile plus an additional 2.2 units of fuel per mile for each railcar on the train. Let N represent the number of railcars on the train. What is an expression for f(N), the total number of units of fuel used per mile? find f(12). How many railcars does the train have if f(N)=34?
Answer:
[tex]38.4\ \text{units of fuel/mile}[/tex]
10
Step-by-step explanation:
Let [tex]N[/tex] represent the number of rail cars on the train
Each rail car adds 2.2 units of fuel per mile.
Fixed fuel consumption is 12 units of fuel per mile
The function of fuel consumption per mile is
[tex]f(N)=12+2.2 N[/tex]
when
[tex]N=12[/tex]
[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]
[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]
[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]
So, the number of rail cars when [tex]f(N)=34[/tex] is 10.
Determine whether the graph represents a function
Answer:
Step-by-step explanation:
18). Graph represent a function
19). Graph does not represent a function
then nth term of a sequence is 10-4n list the first 3 terms
The required first 3 terms of the sequence are 6, 2. -2.
Given that,
Then nth term of a sequence is 10-4n list the first 3 terms is to be determined.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
Nth term = 10 - 4n
For the first term, put n = 1
1 st term = 10 - 4 = 6
For the second term put n = 2
2nd = 10 - 8 = 2
For the third term put n = 3
3rd = 10 - 12 = -2
Thus, the required first 3 terms of the sequence are 6, 2. -2.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
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7th Grade Math
Please help
I will give brainliest!!
19 = 5/3 r
Find the value of r
Answer:
[tex]\huge\boxed{r=\dfrac{57}{5}\to r=11\dfrac{2}{5}\to r=11.4}[/tex]
Step-by-step explanation:
[tex]19=\dfrac{5}{3}r\to\dfrac{5}{3}r=19\qquad|\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\dfrac{5}{3\!\!\!\!\diagup}r=19\cdot3\\\\5r=57\qquad|\text{divide both sides by 5}\\\\\dfrac{5r}{5}=\dfrac{57}{5}\\\\r=\dfrac{57}{5}\to r=11\dfrac{2}{5}\to r=11.4[/tex]
please help me this question
Step-by-step explanation:
Please mark me as the brainliest answer
Answer:
x^3 - 7x^2 + 72
Step-by-step explanation:
you just subtract both equations
solve for x:x+3.17=12.78
Philip's rectangular deck is 5 yards wide. The ratio of the width to the length is 4 to 5. What is the approximate length of Philip's deck in feet? Hint: 1 yard = 3 feet.
Answer:
18.75 feet
Step-by-step explanation:
Step 1
we find the length of Philip's rectangular deck in yards
The ratio of the width to the length is 4 to 5.
Philip's rectangular deck is 5 yards wide.
Hence,
Hence:
4/5 = 5/x
Cross Multiply
4x = 5 × 5
4x = 25
x = 25/4
x = 6.25 yards
The length of Philip's field = 6.25 yards
Hint: 1 yard = 3 feet.
Converting the yard to feet
1 yard = 3 feet
6.25 yards = x
Cross Multiply
x = 6.25 × 3 feet
x = 18.75 feet
Therefore, the length of Philip's field in feet = 18.75 feet
+Given: AB ≅ AD and AB≅ AD AC≅ BD. Prove △BAE≅△DAE.
Answer:
Step-by-step explanation:
Given:
AB ≅ AD
AC ⊥ BD
To Prove:
ΔBAE ≅ ΔDAE
Statements Reasons
1). AB ≅ AD and AC ⊥ BD 1). Given
2). AE ≅ AE 2). Reflexive property
3). ΔBAE ≅ ΔDAE 3). HL postulate of congruence
Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?
Answer:
340 cars on her wall
( Brainlyst will help my rank, thanks! <3 )
The length of a rectangle is three times the width. The perimeter of the rectangle is 72 cm. Find the dimensions of the rectangle.
Answer: length=27, width 9
Step-by-step explanation: To solve this problem, you should set up an equation. The length is 3x, and the width is x. To find the perimeter of a triangle, you do length times two + width times two. So 6x+2x=72. 8x=72, x=9. Length is 27, width is 9.
Answer:
Length: 27cm
Width: 9cm
Step-by-step explanation:
Since the length of the rectangle is 3 times the width, we can assume the width=x and the length=3x.
P=72cm
Perimeter= 3x+3x+x+x
Set the 2 equations equal to each other
72=3x+3x+x+x
Solve for x
72=8x
9=x
Length=3x
Length=9(3)
Length=27
Width=x
Width=9
Please Help!!!!!!!!!!
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 2/5?
line n, with slope -5/2
line m, with slope 5/2
line p, with slope 2/5
Answer:
Step-by-step explanation:
n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.
m is neither.
p is parallel to the given line. For example y = 2/5x
and y = 2/5 x + 9 are parallel to each other.
How do you solve this?
Answer:
[tex] x = 18 [/tex]
[tex] y = 7.5 [/tex]
[tex] z = 7 [/tex]
Step-by-step explanation:
✍️[tex] (8x - 7) + (3x - 11) = 180 [/tex] (consecutive interior angles are supplementary)
Solve for x
[tex] 8x - 7 + 3x - 11 = 180 [/tex]
Add like terms
[tex] 11x - 18 = 180 [/tex]
Add 18 to both sides
[tex] 11x = 180 + 18 [/tex]
[tex] 11x = 198 [/tex]
Divide both sides by 11
✅[tex] x = 18 [/tex]
✍️[tex] (2y + 23) = (4y + 8) [/tex] (alternate interior angles are congruent)
Solve for y
[tex] 2y + 23 = 4y + 8 [/tex]
Collect like terms
[tex] 23 - 8 = 4y - 2y [/tex]
[tex] 15 = 2y [/tex]
Divide both sides by 2
✅y = 7.5
✍️[tex] (2y + 23) + (3z^2 - 5) = 180 [/tex] (linear pair angles)
Plug in the value of y
[tex] (2(7.5) + 23) + (3z^2 - 5) = 180 [/tex]
[tex] (15 + 23) + (3z^2 - 5) = 180 [/tex]
[tex] 38 + 3z^2 - 5 = 180 [/tex]
Add like terms
[tex] 3z^2 + 33 = 180 [/tex]
Subtract 33 from each side
[tex] 3z^2 = 180 - 33 [/tex]
[tex] 3z^2 = 147 [/tex]
Divide both sides by 3
[tex] z^2 = \frac{147}{3} [/tex]
[tex] z^2 = 49 [/tex]
Square both sides
[tex] \sqrt{z^2} = \sqrt{49} [/tex]
[tex] z = 7 [/tex]
You use the utility company’s budget plan for paying your home heating bills. You pay $75 a month for 9 months. Your actual bills are: September, $28.95; October, $46.15; November, $68.46; December, $109.34; January, $115.26; February, $94.19; March $75.66; April, $51.97; and May, $49.16. Compute the average for the 9 months
Answer:
$71.01Step-by-step explanation:
What is the average of a set of numbers?
An average is a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.
Given
September, $28.95;
October, $46.15;
November, $68.46;
December, $109.34;
January, $115.26;
February, $94.19;
March $75.66;
April, $51.97; and
May, $49.16.
Step two:
Total amount= 28.95+46.15+68.46+109.34+115.26+94.19+75.66+51.97+49.16= 639.14
Total number of monts= 9
Average= 639.14/9
Average= $71.01
Riding an elevator down 3 floors
Answer:
And, then what? rp?
Step-by-step explanation:
Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.
Passes through (-6,-1) and is parallel to y=-2/3x+1
Answer:
y=-2/3x-6
Step-by-step explanation:
y=mx+b
m=-2/3
y-y=m(x-x1)
y-(-1)=-2/3(x-(-6))
y+1=-2/3x-4
-1 -1
y=-2/3x-5
Answer:
[tex]y=-\frac{2}{3}x -5[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b\\\\y=(slope)x+(y-intercept)[/tex]
m is the slopeb is the y-interceptx and y are corresponding coordinate points (x,y)When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:
[tex]y=-\frac{2}{3} x+b[/tex]
Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:
[tex](-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b[/tex]
Simplify multiplication using the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex] :
[tex]-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b[/tex]
Use inverse operations to isolate the variable. Subtract 4 from both sides:
[tex]-1-4=4-4+b\\\\-5=b[/tex]
The y-intercept is -5. Insert:
[tex]y=-\frac{2}{3}x -5[/tex]
:Done