Answer:
27 years oldStep-by-step explanation:
Full question isDaniel's age is 15% of Sara's. Luke's age is 75% of Sara's and Rachel's is 300% of Daniel's. When they added their ages, the total was 141. How old is Rachel? SolutionDaniel = d, Sara = s, Luke = l, Rachel = r
We get below relations:
d = 0.15sl = 0.75sr = 3d ⇒ r = 3*0.15s ⇒ r = 0.45sSum of ages:
d + s + l + r = 141Substitute and solve for s:
0.15s + s + 0.75s + 0.45s = 1412.35s = 141s = 141/2.35s = 60Rachel's age is:
r = 0.45*60 = 27Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.
Answer:
please refer to the above attachment
(D) is the right answer.How to Simplify (7x+2)+(x+8)-2x
Answer:
Step-by-step explanation:
The answer to this should be 2(3x+5)
The simplified answer of this is 6x+10
I hope I helped you out.
Answer:
P: ()
E: 5^4 (example)
M:x
D: ÷
A:+
S:-
If Maggie rides for 2 hours on a bicycle, what is her rate if she rides for 8 miles?
__________________ mph
Answer:
4 mph
Explanation:
8 miles / 2 hours = 4 miles each hour
Solve the inequality 37v < -18
Answer:
I'm not sure
Step-by-step explanation:
sorry need point
And this one please
Help plz:)))I’ll mark u Brainliest
Answer:
Scale factor = 1.5
Step-by-step explanation:
Formula for the scale factor,
Scale factor = [tex]\frac{\text{Measure of one side of the Image}}{\text{Measure of one side of the preimage}}[/tex]
In this question, image is triangle Y and preimage is triangle X.
Scale factor of X to Y = [tex]\frac{15}{10}[/tex]
= 1.5
Therefore, scale factor = 1.5 is the answer.
I will give a brainlist if someone could answer this problem with a explanation:)
Answer:
Step-by-step explanation:
The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).
Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180
Peak angle = 180 - 2*base angle
Therefore the triangles are congruent by SAS.
I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.
Copy the proof on paper, mark the given diagram, fill in the blanks to fill in the proof
Statement Reason
1.
LA ≅ ?? Given
Given
2.
TA ≅ ??? Reflex Prop.
3. ∠LAT≅∠ ??? ???
4. △LAT≅△ ??? ???
Answer:
I don't know all of these, but I do know some.
Step-by-step explanation:
1. LA ≅ SA Given
2. I'm sorry I don't know this
3. ∠LAT≅∠ SAT and Def of angle bisector for the reason.
4. △LAT≅△ TAS and I believe it's SAS for the reason.
Answer:
Answers in explanation
Step-by-step explanation:
LA ≅ SA | Given
TA ≅ TA | Reflexive Property
∠LAT ≅ ∠SAT | Definition of angle bisector
△LAT ≅ △SAT | SAS
Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree is 14 feet tall, and its shadow is 21 feet long. Next, Lydia measures the shadow cast by the flagpole, and finds it is 30 feet long. What is the height of the flagpole?
draw a diagram.
the two are similar bc of AAsimilarity
so 8.8 is to 4 as 22 is to x
basically the answer is 10 ft tall
The student population of a school consists of 300 girls and 500 boys
Answer:
In all you have 800 students.
The ratio of girls to boys is 300:500
500 x 300 = 150000
Step-by-step explanation:
Hope this helps?
Please help me with my homework!!!!
Answer:
-3.5
Step-by-step explanation:
Flip the equation so it's 0 - 3.5 which would give you -3.5
Answer:
- 3 [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Any number combined with it's opposite will make zero. The opposite of a number is the same number with it's sign flipped. For example, the opposite of 5 is -5, and the opposite of -3 is 3. If I combine any number, for example 10, with it's opposite, in this case -10, it will make zero. (10 - 10 = 0.) Hope this helps!
Solve the triangle given that a=19 b=16, c=11.
Answer:
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
Step-by-step explanation:
From statement we know all sides of the triangle ([tex]a[/tex], [tex]b[/tex], [tex]c[/tex]), but all angles are unknown ([tex]A[/tex], [tex]B[/tex], [tex]C[/tex]). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.
If we know that [tex]a = 19[/tex], [tex]b = 16[/tex] and [tex]c = 11[/tex], then the missing angles are, respectively:
Angle A
[tex]a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A[/tex] (1)
[tex]A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)[/tex]
[tex]A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right][/tex]
[tex]A \approx 87.395^{\circ}[/tex]
Angle B
[tex]b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B[/tex] (2)
[tex]B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)[/tex]
[tex]B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right][/tex]
[tex]B\approx 57.271^{\circ}[/tex]
Angle C
[tex]C = 180^{\circ}-A-B[/tex]
[tex]C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}[/tex]
[tex]C = 35.334^{\circ}[/tex]
The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.
A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
please help, thanks :)
Answer:
D :)
Step-by-step explanation:
Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y
Answer:
x = 2, y = 13
(2, 13)
Step-by-step explanation:
hope this helps!
I will give brainiest to whoever answers correctly !!
At a birthday party, 8
pizzas are ordered. If 12
people share the pizzas,
how much of a pizza will
each person receive?
0.75 pizza
Step-by-step explanation: 0.75 x 12 equals 8, that's basically it.
Answer:
0.666667
Step-by-step explanation:
8 pizzas ÷ 12 people = 0.66667 pizzas for each.
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.
We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."
Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.
please help 100points!!!!
And I will make brainiest
only if there is a good explanation.
Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.
Step-by-step explanation:
The aquarium has a scale model of a great white shark for sale in their gift shop. If the scale of the model is 2 in. : 7 ft, what is the actual length of the shark if the shark is 4in?
Answer:
14ft
Step-by-step explanation:
Since the scale is 2in : 7ft, so you would do 7x2 which gets you to 14.
(You would do 7x2 because 4 in/2 in = 2in, that's where the 2 comes from, and 7 because 7ft is part of the scale.)
Hope this helps :D
Kendrick walked of a mile in of an hour. How fast did he walk? _____miles per hour
Answer:
He walked at 1 mile per hour
Step-by-step explanation:
Answer:
He walked at 1 mph
Step-by-step explanation:
In ΔHIJ, the measure of ∠J=90°, the measure of ∠I=60°, and JH = 80 feet. Find the length of IJ to the nearest foot.
Answer:
46.2
Step-by-step explanation:
46.188= 46.2
(p - 4)(4p - 2)
Anybody know this
please help asap!!!!
Answer:
z = 25
Step-by-step explanation:
adjacent angles in a rhombus are supplementary
3z - 15 + 7z - 55 = 180
10z - 70 = 180
10z = 250
z = 25
Rational numbers are fractions or their opposites. is a rational number. Show this by writing it in the form , where a and b are integers.
plz help
Answer:
Explained below
Step-by-step explanation:
A rational number is one that can be expressed in form a of a fraction whereby both the numerator and the denominator are integers.
Also, if it results in a recurring decimal it is still a rational number but if the decimal is not recurring, then it is not a rational number.
Now, for example let's consider the number 5.
It is a rational number because it can be expressed as; 5/1; 10/2; 20/4; -5/-1 e.t.c
Now, the opposite of these fractions like we are told to check in the question results in;
1/5; 2/10; 4/20; -1/-5;
The opposite will give us still a rational number because both numerator and denominator are still integers and also the value of the division is 0.2 which is a definite decimal and also can be expressed as an integer.
I need help with math pls
The answer is 6
Explanation:
Solve for x.
ASAP, please help me
Answer:
8
Step-by-step explanation:
180=90+40+6x+2
180=132+6x
48=6x
x=8
Answer:
x=4 i think havent done this in a long time
Step-by-step explanation:
Plz help I am timed : (
Christian earned a 70, 89, 91, and 82 on his last four
spelling tests. What was Christian's average for these four
tests?
OA) 81
OB) 82
OC) 83
OD) 84
Answer:
its c or 83 bc you add them all together then divide by the amount of grades he has in total
34) Which equation is equivalent to: 3r=78+14 ?
A. −3r=−78+14
B. 3r−14=78
C. 3r=78−14
D. −3r=78−14
A 40-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If x
represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece?
What is the length of the second piece?
What is the length of the third piece?
Answer:
The first piece is 5 inches long, while the second is 15 inches and the third one is 20 inches.
Step-by-step explanation:
To determine the length of the 3 pieces, knowing that the total of the board is 40 inches, and that the second measures 3 times more than the first and the third measures 4 times more than the first, the following equation must be performed:
X + 3X + 4X = 40
8X = 40
X = 40/8
X = 5
Therefore, the first piece is 5 inches long, while the second is 15 inches and the third 20 inches.
