Answer: AB≅EF, ∠B≅∠E, BC≅DE
Step-by-step explanation:
AB and EF are both marked with one line, making them congruent.
The same goes for BC and DE since they are marked with two lines.
Angles B and E are congruent because of the marking that is specified in both figures.
Camille's science class is making slime from cornstarch and glue. Camille is helping pass out materials. She gives each student 4 ounces of cornstarch from a 5-pound bucket. If Camille's class has a total of 18 students, how many ounces of cornstarch will she have left?
Answer:
8 ounces
Step-by-step explanation:
16oz/lb
16*5= 80oz of cornstarch in bucket
4oz * 18students = 72oz
80-72= 8 oz remaining
The amount of cornstarch left is 8 ounce.
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Each student get = 4 ounce of cornstarch
Total number of student = 18 students
And, Total amount of cornstarch = 5 pound
Here,
Since, Amount of total cornstarch to student = Each student get × Total number of student
⇒ Amount of total cornstarch to student = 4 × 18
⇒ Amount of total cornstarch to student = 72 ounce
Since, 1 pound = 16 ounces
So, We get;
⇒ Total amount of cornstarch = 5 × 16
⇒ Total amount of cornstarch = 80 ounces
Thus, Amount of cornstarch left = 80 - 72
⇒ Amount of cornstarch left = 8 ounces
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question is in the photo.
[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]
[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]
[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]
[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]
Answer:
[tex]{ \rm{ \sqrt{108 {x}^{2} {y}^{3} } - \sqrt{12 {x}^{2} {y}^{3} } + x \sqrt{75 {y}^{3} } }} \\ \\ = { \rm{\sqrt{(36 \times 3) {x}^{2} {y}^{3} } - \sqrt{(4 \times 3) {x}^{2} {y}^{3} } + x \sqrt{(3 \times 25)} {y}^{3} }} \\ \\ = { \rm{ \sqrt{ {x}^{2} {y}^{3} } ( \sqrt{36 \times 3} - \sqrt{4 \times 3} + \sqrt{3 \times 25} }}) \\ \\ { = \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3} + 5 \sqrt{3} ) }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \{(6 - 2 + 5) \sqrt{3} \} }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \times 9 \sqrt{3} }} \\ \\ = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}[/tex]
The acidity in a swimming pool is considered
normal if the average of three pH readings, p, is
defined such that 7.0
Answer:
6.2
Step-by-step explanation:
[tex] \frac{7.2 + 7.6 + x}{3} = 7.0 \\ \frac{14.8 + x}{3} = 7.0 \\ 14.8 + x = 21 \\ x = 21 - 14.8 \\ x = 6.2[/tex]
what is the standard form of of a line with a slope of -3/2 that passes through the point (4,-1)
Answer:
y=[tex]-\frac{3}{2}x-5[/tex]
Step-by-step explanation:
Use the point slope formula
[tex]y-y_1=m(x-x_1)[/tex]
y-1=[tex]-\frac{3}{2}[/tex](x-4)
Multiply -3/2 by (x-4) which equals -3/2x-6
Move the 1 by adding to both sides
The gives us y=[tex]-\frac{3}{2}x-5[/tex]
Karla is going to the store. She bought a banana for $0.67, a jar of peanut butter for $2.35 and a bottle of water for $1.50. If she paid with a $5 dollar bill, how much change will she get back? (Do not use $ in your answer)
Answer:
48 cents
Step-by-step explanation:
Help would be very much appreciated I do not understand. Thanks.
Answer:
im pretty sure it is 2 and 8
Step-by-step explanation:
Please solve this for me.
Answer:
DG = 7z - 5
Step-by-step explanation:
In order to find DG, you add DE and GE.
A line includes the points (0, 1) and (4, 8). What is its equation in slope-intercept form?
What is the slope of the line on the graph?
Answer:
5/12
Step-by-step explanation:
It goes up 5 and over 12.
how do you solve the question solve for n 1/3 n = 6
Answer:
[tex]n = 18 \\ [/tex]
Step-by-step explanation:
[tex] \frac{1}{3} n = 6 \\ n = 6 \div \frac{1}{3} \\ n = 6 \times 3 \\ n = 18 \\ [/tex]
The table below shows Amelia's earnings on the job.
Time (hours) Earnings (dollars)
4
$108.80
9
$244.80
17
$462.40
How long does it take her to make $414.80?
Answer:
15.25 hours
Step-by-step explanation:
her pay per hour is $27.2
414.80÷27.2=15.25
are the following triangles similar? if so state the reason.
not similar
SAS
SSS
AA
The triangles are not similar.
What is similarity in triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
The Given triangle ZXB and DZN are not similar
Because,
XZ/DZ =XB/DN ≠ ZB /BN
XZ/DZ = 1/2
XB/DN = 1/2
ZB /BN = 1/3
Hence, the triangles are not similar.
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x + 3 + -3 = -6 please help me on this
Answer:-6
Step-by-step explanation:
X=-6
3 and -3 cancel out.
Answer:
-6
Step-by-step explanation:
The positives and negatives added cancel eachother out.
-6+3=-3
-3+-3=-6
solve the inequality. 2y ≥ 4
Answer: y≥2
Step-by-step explanation:
Step-by-step explanation:
[tex]2y \geqslant 4[/tex]
[tex]y \geqslant \frac{4}{2} [/tex]
[tex]y \geqslant 2[/tex]
3/4 - 1/6 what is it ?
Answer:
7/12 or 0.58333333...
Step-by-step explanation:
Answer:
7/12
Step-by-step explanation:
how do you solve 2 to the 35th power
Answer:34359738368
Step-by-step explanation: 2 to the 35th power is basically 2 x 2 35 times. You can solve it on a caculator by typing in 2 and pushing the button that allows you to enter 35 (which is the exponent, or the little number) The button will usually have an x with a little y at the top right corner
help me plsssssssssssssssssssssssssssssssss
The answer is C
The best answer is C
Lin is paid $86 for 4 hours of work how much would she be paid at this rate for 9 hours of work?
Answer:
173.5
Step-by-step explanation:
The answer is 173.5
To solve this type of equation we first have to find the unit rate, in this case, the unit rate is dollars every hour, in order to find this we have to divide 86 by 4 as shown below
[tex]86/4=21.5[/tex]
Therefore the unit rate is 21.5$ every hour so in order to find how much money she was paid after 9 hours we have to multiply 21.5 by 9, which is shown below
[tex]9x21.5=173.5[/tex]
Thus, that is how much money Lin will be paid after 9 hours of work.
Hope this Helps!
Can someone pls help me out
Answer:
option a. similar;AA similarity; triangle plm
Find the unknown angle measures.
In an isosceles triangle two of the angle measures are equal and one is not. The unequal angle measure is 77 degrees. The whole triangle is 180 degrees. Find the unknown measures
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let the unknown equal Angle measures be x
now, according to question :
[tex]x + x + 77 = 180[/tex][tex]2x = 180 - 77[/tex][tex]2x = 103[/tex][tex]x = \dfrac{103}{2} [/tex][tex]x = 51.5 \degree[/tex]hence, the unknown equal angles are 51.5° each !!
A girl rides a bicycle with a speed of 10km/h for 2h and 15km/h for the next 3h. find the distance moved by her and average speed
Solve for x -29+11=3x - 6x ???
Answer:
the right answer is x = 9/2
What is (a^6)^3 divided by (a^5)^2? (Please explain using steps.)
Answer:
(a^6)^3 / (a^5)^2 = a^8
Step-by-step explanation:
step 1: multiply the exponents that are on the outside of the parenthesis to the exponent inside the parenthesis
ex: a^6 * ^3 / a^5 * ^2 = a^18 / a^10
step 2: subtract the exponents
ex: a^18 - ^10 = a^8
need this answered quick, please provide explanation for answer thanks :p
Hi, I am struggling on this math question. Can someone help me out please? I more so need how to set up the equation than the answer.
The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium?
Answer:
18 green fish and there are 12 yellow fish
Step 3: Multiply by the scalar (1 over the determinant): Aâ’1 = a11 a12 a21 a22 a11 = a12 = a21 = a22 =
Answer:
a11 = 1
a12 = -1
a21 = -1.5
a13 = 2
someone please help. Giving brainliest!!
Answer:
A. None of these
Step-by-step explanation:
The largest perfect square under 100 would actually be 81 (9 x 9)
90 and 99 are not perfect squares and 64 is smaller than 81.
Answer:
a. none of these
Step-by-step explanation:
10 * 10 = 100, so 100 is a perfect square.
The next smaller perfect square is 9 * 9 = 81, but 81 is not in the choices.
Answer: a. none of these
PLSSSS HELP ME WITH THIS QUESTION!!!
Answer:
18 since you have 13nd 3 that equal
Plz help me do this math problem !
Step-by-step explanation:
reason 1: given
reason 2: alternate interior angles
reason 3: alternate interior angles
reason 4: common (reflexive property)
reason 5: aas
B is the midpoint of AC. AB = 6x + 1 and BC = 2x + 9. Find the length of AC. .
Answer:
8x + 10 = AC
Step-by-step explanation:
AB + BC = AC
6x + 1 + 2x + 9 = AC
8x + 10 = AC